DF=
Help me please:))​

DF=Help Me Please:))

Answers

Answer 1

Answer:

[tex]\fbox {DF = 20}[/tex]

Step-by-step explanation:

Given :

ΔSDF ~ ΔRTY = 4 : 9 (Ratio of similitude)SF = RT - 2TY = RY + 9SD = 8

Step 1 : Find RT

SD : RT = 4 : 98 : RT = 4 : 9RT = 18

Step 2 : Find SF

SF = RT - 2SF = 18 - 2SF = 16

Step 3 : Find RY

SF : RY = 4 : 916 : RY = 4 : 9RY = 36

Step 4 : Find TY

TY = RY + 9TY = 36 + 9TY = 45

Step 5 : Find DF

DF : TY = 4 : 9DF : 45 = 4 : 9DF = 20
Answer 2

Answer:

DF = 20

Step-by-step explanation:

Triangle SDF has side lengths SD, DF, SF.

Triangle RTY has side lengths

RT = (9/4)SD

RY = (9/4)SF

TY = (9/4)DF

"SF is 2 less than RT" Given

SF = RT - 2

SF = (9/4)SD - 2

"SD = 8" Given

SF = (9/4)(8) - 2

SF = 16

"TY is 9 more than RY" Given

TY = RY + 9

(9/4)DF = (9/4)SF + 9

(9/4)DF = (9/4)(16) + 9

(9/4)DF = 45

DF = 45 × 4/9

DF = 20


Related Questions

With the definition of the derivative, determine the formula logx!​

Answers

Answer:

sorry i dont know the answer .


What is the area of parallelogram ABCD?

Answers

13 square units is the answe

9
If g = 8, what is the value of the expression 2+3?
OA.
B.
815
(11)
OC. 7
OD. 19

Answers

The value of the expression, g/2 + 3 when x = 8 is: 7.

How to Evaluate an Expression?

Given the expression, g/2+3, to find it's value when g = 8, plug in the value of g into the expression and solve.

g/2 + 3

8/2 + 3

Divide

4 + 3

= 7

The value of the expression is: 7.

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Ethan works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Ethan make in a week in which he made $1250 in sales? How much would Ethan make in a week if he made xx dollars in sales?

Total earnings when selling $1250:
Total earnings when selling $x:
need answer fast

Answers

The total amount of money Ethan made in a week including commission is $812.5

Total income

Total sales for the week = $1250Base salary = $500Percentage commission = 25%

Amount of commission earned = 25% of $1250

= 25/100 × $1,250

= 0.25 × 1250

= $312.5

Total earnings = Base salary + Amount of commission earned

= $500 + $312.5

= $812.5

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which system of equations is represented by the graph?

A. y=x² + 3x
y = -x² + x + 18

B. y=x²
y = -x² +18

C. y=x²
y = x² + 18

D. y=x²
y=-x²-x-18

Answers

Answer:

B

Step-by-step explanation:

We see the graph of y=x², so eliminate A.

Since the second graph opens downwards, the coefficient of x² must be negative, so eliminate C.

Also, the axis of symmetry is x = 0, so eliminate D.

This leaves us with B

if sin25=p write the following term of p
cos65
tan205​

Answers

Answer:

cos65 = sin25 = p

tan205 = tan25 = p/√(1-√p)

Step-by-step explanation:

trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)

some Trigonometric identities used in the question:

cos(90-θ) = sinθsin²θ + cos²θ = 1tan(π±θ)  =  tanθtanθ = sinθ/cosθ

in the question it is given,

sin25 = p

using above mentioned identity:-

cos 65 = cos(90-25) = sin25 = p

hence value of cos65 is p.

for, tan205 we have to first find the cos25

so to find cos25 we use above mentioned identity,

cos²25 + sin²25 = 1

cos²25 + √p      = 1

cos²25               = 1-√p

cos25               = √(1-√p)  

now to find out tan205 use third identity mentioned above,

tan205 = tan(π+25) = tan25

tan25 = sin25/cos25

tan25 = p/√(1-√p)  

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Simplify the expression

Answers

Answer:

[tex]2*2^1^/^4[/tex]

(≈2.378)

Step-by-step explanation:

we know that:

[tex]a^x*a^y=a^x^+^y[/tex]

[this is the same as multiplying any exponents]

3/4 + 1/2 = 1 + 1/4

if [[tex]a^x*a^y=a^x^+^y[/tex]], then [[tex]a^x^+^y=a^x*a^y[/tex]] must also be true

so,

[tex]2^1^+^1^/^4=2^1*2^1^/^4\\[/tex]

= [tex]2*2^1^/^4[/tex]

([tex]2^1^/^4 = 1.189207115[/tex])

1.189207115 · 2 = 2.37841423001

(rounded to 2.378)

Answer:

[tex]2*2^1^/^4[/tex]

(2.37841)

Explanation:

3/4 + 1/2 = 1 + 1/4

= [tex]2*2^1^/^4[/tex]

([tex]2^1^/^4 = 1.189207115[/tex])

(2)(1.189207115) = 2.37841423001

Pls answer this asap

Answers

A and C should be right

Answer:

The correct answer is A

Step-by-step explanation:

2 is exactly 7 units away from -5.

find the volume of the composite figure

Answers

Volume is a three-dimensional scalar quantity. The volume of the composite figure is 14 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite figure is,

Volume = (1/3 ×1.5 × 2 × 2) + (2 × 1.5 × 4)

             = 2 ft³ + 12 ft³

             = 14 ft³

Hence, the volume of the composite figure is 14 ft³.

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What is the closest benchmark for 99%?

Answers

The closest benchmark for 99% is 100%.

We know that benchmarks in mathematics are the norm or point of comparison that something can be measured, compared, or evaluated against. Benchmark values are values that can be used to estimate and contrast other values or quantities. Typically, benchmark figures are multiples of 10 or 100. 0 percent, 10 percent, 25 percent, 50 percent, 75 percent, and 100 percent are the most popular benchmark percentages.

Here we have to find the closest benchmark for 99%. Clearly, from the definition 100% is the required answer.

We can conclude that the closest benchmark for 99% is 100%.

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Which graph represents the function r(x) = |x-2| -1

Answers

It's whichever graph is an absolute function and is shifted to the right by 2 and is shifted down by 1.

Since I don't have a picture of the graph this is the best I can do to help.

Answer:

see attached

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Given function:

[tex]r(x) = |x - 2| - 1[/tex]

The parent function of the given function is:  [tex]f(x) = |x|[/tex]

Translated 2 units to the right:  [tex]f(x-2)=|x-2|[/tex]

Translated 1 unit down:  [tex]f(x-2)-1=|x-2|-1[/tex]

Graph of Modulus function

Line y = x where x ≥ 0

Line y = -x where x ≤ 0

Vertex at (0, 0)

Therefore, the graph of the given function is the graph of the modulus function translated 2 units to the right and 1 unit down.  So, its vertex is at (2, -1).

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Solve 6x+7=3x+16
X=6
X=3
X=4
X=2

Answers

Answer:

x=3

Step-by-step explanation:

6x-3x=16-7

3x=16-7

3x=9

x=3

simplify (6 to the power of 5)power 2

Answers

Answer:

60466176

Step-by-step explanation:

Please help with this

Answers

Answer:

  (a)  Horizontal line test

Step-by-step explanation:

A relation that is a function already passes the vertical line test. If it has an inverse function, that function must also pass the vertical line test.

Inverse relation

The inverse relation will be the same graph reflected across the line y=x. That is, points that are horizontally aligned on the relation graph become vertically aligned on the inverse relation graph.

Inverse function

If the inverse relation is to be a function, then there must be no points on its graph that are vertically aligned. This requirement translates to the requirement that there be no horizontally-aligned points on the graph of the original relation. The "horizontal line test" checks for horizontally aligned points. If there are none, the test is said to pass.

A function will have an inverse function if it passes the Horizontal Line Test.

__

Additional comment

The attached graph shows a function (red curve) that does not pass the horizontal line test. Its inverse relation is the green curve, which you can see is not a function. It does not pass the vertical line test.

The line y=x is shown (dashed orange) so you can see the symmetry of the function and its inverse.

150 - 4n, find the first negative term

Answers

-4n
The first negative so you wont see it as subtraction 150 is one term -4n is another term 150 is positive -4n is negative

Please help, performance task: trigonometric identities

Answers

The answers are given below:

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

1. (cos x. cos y)(tan x + tan y) = sin (x+ y)

  (cos x. cos y)(tan x + tan y)

= cos x. cos y (sinx/ cos x + sin y/ cos y)

= sin x cos y + sin y cos x

= sin (x+ y)    [ sin ( x +y)]= sin x cos y + sin y cos x

= RHS

3. [tex]-\sin ^2\left(x\right)-\cos \left(2x\right)=0[/tex]

Using identity

[tex]-\cos ^2\left(x\right)=0[/tex]

cos ² x=0

Applying [tex]x^{n} =0[/tex] then x=0

So, cos x =0

General solution will be [tex]x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].

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Use the formula A=bxh to find the base of a parallelogram if the area is 228 cm² and the height is 12 cm.
O a
Ob
O
Od
19 cm
1.9 cm
19 cm 2
none of the above

Answers

Answer:

a) 19 cm

Step-by-step explanation:

Area of a parallelogram: b • h

Given values:

A = 228 cm²b = ? cmh = 12 cm

Substitute these values into the formula:

⇒ A = b • h

⇒ 228 = b • 12 [multiply]

⇒ 228 = 12b [divide both sides by 12]

⇒ 228 ÷ 12 = 12b ÷ 12

⇒ 19 = b

Therefore, the base of the parallelogram is 19 cm.

If b = 7, then the value of c is...

Answers

Answer:

7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.

If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.

Special Right Triangles

Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.

Formulas

All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).

c = b[tex]\sqrt{2}[/tex]b = a a = b

In these triangles, both of the legs are congruent.

Solving for c

Since we are given b, we can just plug the b-value into the formula that solves for c.

c = 7[tex]\sqrt{2}[/tex]

The answer cannot be simplified further, so this is the final answer.

Answer:

Second option

Step-by-step explanation:

It is a right triangle isosceles

a = b = 7

c = hypotenuse

[tex]c =\sqrt{7^{2}+7^{2} } =\sqrt{49+49} =\sqrt{2(49)}=7\sqrt{2}[/tex]

Hope this helps

The square below represents one whole.
Express the shaded area as a fraction, a
decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%

Answers

Answer:

fraction:4/10 or 2/5

decimal: 0.4

percent: 40%

Step-by-step explanation:

The rectangle is divided into 10 parts, this is a total number that goes on the bottom of a fraction. 4 parts are shaded, that number goes on the top of the fraction.

4/10 is shown in the image. But 4/10 can be reduced. You should always simplify a fraction when it is possible.

4/10 = 2/5

As for the decimal, 4/10 spoken, "four tenths" tells you the decimal 0.4 (we all say "point four", but this is properly called "four-tenths" also) You can divide, because a fraction bar is a division symbol:

4÷10 OR 2÷5 and you will get the decimal 0.4

To change the decimal to a percent, multiply by 100.

0.4 × 100 is 40

0.4 is 40%

fraction:: 4/10 or 2/5 (simplified)

decimal: 0.04

percentage: 4%

Which of the following angles are congruent?

Answers

Answer:

C

Step-by-step explanation:

if you rotate either of the triangles by 180 degrees, compare the angles and you will see that the answer is C

Solve for DG. Show all work

Answers

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30

Answer:

DG = 30 units

Step-by-step explanation:

these are 2 similar triangles, so we can solve with an equation

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

DG = 30 units

------------------------------

check

24 : 32 = 30 : 40

0.75 = 0.75

The answer is good

If 9x+3=30, what is the value of 3x+1

Answers

9x + 3 = 30
9x = 27
x = 3

Then 3x + 1 = 3 * 3 + 1 = 10

[tex]9x + 3 = 30 \\ \\ 9x = 30 - 3 \\ \\ 9x = 27 \\ \\ x = \frac{27}{9} \\ \\ x = 3.[/tex]

putting x = 3 in 3x + 1

[tex]3x + 1 \\ \\ 3 \times 3 + 1 \\ \\ 9 + 1 \\ \\ 10.[/tex]

The value of 3x + 1 is 10.

Why [tex]\lim _{x\to -3}\left(x^2-2x+4\right)[/tex] is 19 and not 1??? I don't understand how lim x to -3 (x^2) become 9 and not -9???

PLEASEEEEEEEEEEEEE

Answers

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

[tex]\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}[/tex]

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

HELP, FAST!!!

choose an equation for the graph

Answers

Answer:

The equation of the graph is   y = -lx - 4l - 1.

Step-by-step explanation:

As the values of y are same before and after (4, -1)

the slope of the graph is change on point (4, -1)

the equation of first line is

y - (-1) = 1 (x -4)

the equation of the second line is:

y - (-1) = -1 (x - 4)

As value of y should remain same in both equations

therefore: y - (-1) = - lx - 4l

y = - lx - 4l -1

The equation of the graph is   y = -lx - 4l - 1.

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What is the approximate value of x in the diagram below

Answers

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

sin 36° ≈ 0.588cos 36° ≈ 0.809tan 36° ≈ 0.727

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

x is the side adjacent to the angle of 36°23 is the side opposite to the angle of 36°

Therefore, we should use the tan trig ratio.

[tex]\implies \sf \tan(36^{\circ})=\dfrac{23}{x}[/tex]

[tex]\implies \sf x=\dfrac{23}{\tan(36^{\circ})}[/tex]

Substituting the given value for tan 36°:

[tex]\implies \sf x \approx \dfrac{23}{0.727}[/tex]

[tex]\implies \sf x\approx31.64[/tex]

answer?.......................

Answers

When we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

The given function is [tex]y=2-\sqrt{x}[/tex].

We need to find which is the graph of the given function from the options.

What are coordinates?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Take, x=0, 1, 4, 9, 16, 25, 36,....

Now, when x=0, y=2.

When x=1, y=1.

When x=4, y=0.

When x=9, y=-1

So, when we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

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What is the rate of change according to the table below?
x
3
4
5
6
y
21
28
35
42

Answers

Answer:

lets make this like a table

x   y

3=21

4=28

5=35

so since y is bigger lets divide that by x

21/3=7

so the rate of change is 7

Hope This Helps!!!

the nth term of the sequence is 3n + 2. Find the first three terms of the sequence

Answers

Answer:

5, 8, 11, ...

Step-by-step explanation:

f(n)=3n+2

the first three terms will be f(1), f(2), and f(3).

f(1)=3(1)+2=5

f(2)=3(2)+2=8

f(3)=3(3)+2=11

Hope this helps!

If not, I am sorry.

Cos(5 π/3)=___

A. √3/2
B. -√2/2
C. 1/2
D. √2/2

Answers

Answer:

i think the answer is C. 1/2

This is confusion please help

Answers

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is always true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 is our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, [tex]\sqrt{125} = \sqrt{5*25}[/tex]

and

[tex]\sqrt{5*25}=\sqrt{5}*\sqrt{25}[/tex]

we can take out the square root of 25 (5):

[tex]=\sqrt{5}*5[/tex]

we write this as such: [tex]5\sqrt{5}[/tex]

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

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Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following: The strongest and healthiest microbe systems are those with a lot of variety. The guts of Americans have much less variety than the guts of other populations. Diets that include a lot of processed foods support less variation in bacteria. Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. 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In this lab, you will investigate the properties of water and explain how they affect Earth material and surface processes.Investigative Phenomenon: What are the connections between the properties of water and their effects on Earth materials and surface processes?Materials: water stopwatch a clean penny food coloring vegetable oil clear plastic cups dropper or pipette ice cube black pepper a bowl dish soap sponge or cloth a heating source (sunlight, lamp, etc.) or a cooling source (refrigerator) one balloon measuring tape or string and a ruler thermometerActivity One: Investigating CohesionCohesion is the ability of molecules to bind together. One way to test this is by investigating how the droplets of a particular liquid stick together compared to other liquids. Use the materials you have to determine waters relative cohesion on a particular surface.Describe the plan you will follow to determine this:Record your data and observations:Phenomena Reflective Question: How does the cohesive property of water come into play with it interacts with Earth materials?Activity Two: Investigating Surface Tension Surface tension is a property of a liquid that allows the surface to resist force. This means the surface of a liquid resists the weight of objects.Procedures:1. Fill a bowl full with tap water.2. Sprinkle about a teaspoon of ground black pepper in the bowl. DO NOT STIR! Observe what happens to the black pepper.3. Gently place your finger into the water and observe what happens.4. Put two drops of dish soap on your finger. Gently use your finger to touch the surface of the water and observe what happens.Data and observations: ObservationsBlack pepper in water Touching water without soap Touching water with soap Phenomena Reflective Question: How does the surface tension of water allow for it to interact with Earth materials?Activity Three: Investigating Solubility A liquid is polar, which means a substance can easily dissolve in it. How can you test waters polarity compared to other substances? To measure solubility, it is necessary to compare initial and final results using your visual observations.Describe the plan you will follow to determine this:Record your data and observations: Add food coloring to each liquid. Observe each reaction and record your observations in the table below. Time Water Vegetable Oil0 seconds 5 seconds 10 seconds 15 seconds 20 seconds Phenomena Reflective Question: Explain why water is called a universal solvent. How does this polarity allow for water to interact with Earth materials?Activity Four: Investigating Specific Heat CapacitySpecific heat is the amount of heat energy needed to change the temperature of 1 gram of the substance one degree Celsius. Some objects' specific heat allows them to heat up or cool down faster than others of equal mass. How can you compare waters specific heat to other substances? How does the specific heat of water affect how other objects, such as a damp cloth, warm up or cool down? To measure specific heat, it is necessary to compare initial and final results.Describe the plan you will follow to determine this:Record your data and observations: Observe the temperature of the damp sponge/cloth after being placed under a heat source. Caution: do not set the damp sponge or cloth to close to the heat source. Record your observations. Time Damp Sponge/Cloth0 seconds 5 seconds 10 seconds 15 seconds 20 seconds Phenomena Reflective Question: How does waters specific heat capacity come into play when it interacts with Earth materials or affect surface processes?Activity Five: Investigating Expansion and DensityDensity of an object can be found by calculating mass divided by volume. If two objects have the same mass, but one has a greater volume, the object with more volume is less dense. Does waters density change when it is frozen? Describe the plan you will follow to determine this:Record your data and observations:Phenomenon Reflective Question: Did the density of water change when it changed from solid to liquid? How do you think the density of water has an effect on Earth materials and surface processes?Evaluating the Design:Part of an investigation is to evaluation how well your investigation gave you the data you needed. In this report, include the following:1. an evaluation of the plan you made for the various activities and how the data was collected2. a description of how well the data allowed you to infer the effect of water on materials and processes in the world3. a description of how to further investigate the effects of water and collect more accurate and precise data PLEASE HELPRead the excerpt from The Odyssey.Now Zeus the lord of cloud roused in the northa storm against the ships, and driving veilsof squall moved down like night on land and sea.The bows went plunging at the gust; sailscracked and lashed out strips in the big wind.We saw death in that fury, dropped the yards,unshipped the oars, and pulled for the nearest lee:then two long days and nights we lay offshoreworn out and sick at heart, tasting our grief,until a third Dawn came with ringlets shining.What does this excerpt most suggest about the beliefs of the ancient Greeks?1. They believed that natures strength was wholly uncontrollable.2. They believed that natures wrath could never be overcome.3. They believed that the gods were frequently unfair in their actions.4. They believed that the gods often punished people for acting badly. B. Form verbs from the given abstract nouns:fil1. satisfactory2. knowledge3. punishment4. marriage5. silence6. treatment7. growth8. agreement Anoxia, or a lack of oxygen in bodies of water, leads to __________.A.unsafe drinking waterB.dead zonesC.global warmingD.algae bloomsPlease select the best answer from the choices provided.ABC Millie needs a total of 7.8 feet of ribbon for a school project. She needs 0.7 more feet of ribbon. How much ribbon, in feet, did Millie already have? Write and solve an equation to find the answer.6.97.17.58.5