What word phrase can you use to represent the algebraic expression 7x?

Answer:

3/5

Step-by-step explanation:

cos F = adjacent side/ hypotenuse

Cos F = 6/10

Cos F = 3/5

Answer:

6/10 which is 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution is Option D.

The figure represents a construction of congruent segments

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first line segment be represented as P

Let the second line segment be represented as Q

Now , the equation will be

The length of the line segment P is congruent to the line segment Q

Therefore , the line segments P and Q are congruent to each other

Hence , the figure represents a construction of congruent segments

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Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

---

Topic: Precalculus

Unit: Trigonometry

Answer:

Check below please

Step-by-step explanation:

A quadrilateral is a polygon with four sides.

Then let's plot it, check it below.

1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.

2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.

All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:

[tex]\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2} \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90[/tex]

[tex]Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2[/tex]

3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:

[tex]\frac{b*h}{2}=32.84 \therefore b*h=65.68[/tex]

Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.

So

[tex]65.58 : 6 =10.93\\b=6\\h=10.93[/tex]

Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

Answer: its the 2nd one

Step-by-step explanation:

Answer:

x =0   x=7

Step-by-step explanation:

x^2 - 7x=0

Factor out an x

x(x-7) =0

Using the zero product property

x =0   x-7 =0

x =0   x=7

Answer:

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law, "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."

[tex]F= ke[/tex]

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= [tex]\frac{15}{100}[/tex]= [tex]0.15m[/tex]

we can solve for the spring constant k

we also know that the force F = mg

assuming [tex]g=9.81m/s^{2}[/tex]

therefore

[tex]24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\[/tex]

We can use this value of k to solve for the mass that will cause an extension of  [tex]10cm= 0.1m[/tex]

[tex]x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg[/tex]

Answer:

Plot the points (0,2) and (3,3)

Step-by-step explanation:

(0,2) is the y-intercept and the slope is always rise over run so go up 1 unit and right 3 units, that gets you to (3,3)

you could also plot any point other than (3,3) that is on the same line

Answer:

x = 4.5 or rounded 5

Step-by-step explanation:

Because they are equal you can make the equation:

x/2 = 18/8

this means that 8 divided by 2 equals (4)

what 18 divided by x is (4)

this means 4 times x = 18

4x = 18

/4    /4

x = 4.5 ft

Answer:

C=150.72 cm

A=1808.64 cm square

Step-by-step explanation:

If you are given the diameter(radius) of a circle you can find the area and the circumference of a circle.

since d(diameter)=2r(radius)

         48=2r

         r=24

[tex]C=2\pi r\\ C=2*3.14*24\\C=6.28*24\\C=150.72cm[/tex]     If we found the circumference only the area is left.

[tex]A=\pi r^{2} \\A=3.14*24^{2} \\A=3.14*24*24\\A=3.14*576\\A=1808.64 cm^{2}[/tex]

Answer:

bruh

Step-by-step explanation:

Answer: 18 tiles

Step-by-step explanation:

Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.

Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m

No. Of tiles that can fit the floor =

8.64 / 0.48 = 18

Answer:

x = -7/2, y=2

Step-by-step explanation:

2x + 5y = 3

-2x - y = 5​

Add the two equations together to eliminate x

2x + 5y = 3

-2x - y = 5​

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

     4y = 8

Divide each side by 4

4y/4 = 8/4

y =2

Now find x

2x +5y =3

2x +5(2) =3

2x+10 =3

Subtract 10

2x = -7

Divide by 2

2x/2 = -7/2

x = -7/2

Answer:

Yes

Step-by-step explanation:

Yes because there is only 1 y value per x value.

Answer:

yes

Step-by-step explanation:

There is a one to one correspondence and this will pass the vertical line test

Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

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Answer: 6:9

Just divide  saturatedfats/TotalFats=6/9

Step-by-step explanation:

Answer:

=-2

Step-by-step explanation:=-2

cuz i calculated it

its right

Answer:

-2

Step-by-step explanation:

First, the parentheses are calculated.

The denominators must be equal for removal.

2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18

Now we're going to multiply.

-36/5 × 5/18 = -36/18 and its equals to -2

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

Hope This Helps!

Answer:

x=-11

Step-by-step explanation:

In order to solve for x, we have to get x isolated.

To do that, we must perform the inverse operations to both sides of the equation.

-3x+6=39

6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

-3x+6-6=39-6

-3x=39-6

-3x=33

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3x/-3= 33/-3

x= 33/-3

x=-11

Answer:

A. 15.5

Step-by-step explanation:

Answer: -2.6%

Step-by-step explanation:

Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.

Estimated.number = 15.4 grams.

Actual number = 15.8 grams

Percentage error = (Estimated number - Actual number)/Actual number × 100

= (15.4 - 15.8)/15.8 × 100

= -0.4/15.8 × 100

= 0.0253 × 100

= 2.53

= -2.6% approximately

Double angle identity:

[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]

If you know [tex]\cos\theta[/tex], just plug it in.

Answer:

Selling price - cost price = profit, when Selling Price is more than Cost Price

Cost price - selling price = loss, when cost Price is more than sellIng Price

Answer:

i think it might be 0.5 over 6

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

Because there are a total of 36 possibilities when rolling a dice twice (6x6) and out of that there is only one chance to get two sixes

Answer:

C. 210

Step-by-step explanation:

Plugging it in directly

30/14=2.14 (not an integer)

140/6=23.33 (not an integer)

210/6=35

210/10=21

210/14=15

all of the above result in integers, so the answer is C.

D is not even checked because it is larger than 210

Answer:

6k-3 or 3(2k-1)

Step-by-step explanation:

First, you need to multiply 1/2 by both the numbers in the parentheses

1/2(12k-6)=

Then, you need to simplify your answer

*If needed, you can simplify further by taking out a factor of 3

Answer:

[tex]3(2k-1)[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}(12k-6)[/tex]

Expand the bracket by multiplying by 1/2:

[tex]6k-3[/tex]

Simplify further by taking out a factor of 3:

[tex]3(2k-1)[/tex]

Answer:

290 in^2

Step-by-step explanation:

front side x 2 = 176

top + bottom = 48

sides x 2 = 66

Sum = 290

Answer:

Total surface area S_tot = 290 in²  thus c. is your answer

Step-by-step explanation:

length l = 8 in

width w = 3 in

height h = 11 in

diagonal d = 13.9283883 in

total surface area S_tot = 290 in²

lateral surface area S_lat = 242 in²

top surface area S_top = 24 in²

bottom surface area S_bot = 24 in²

volume V = 264 in³

Formula and Agenda:

Formulas for a rectangular prism:

Volume of Rectangular Prism:

V = lwh

Surface Area of Rectangular Prism:

S = 2(lw + lh + wh)

l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Answer: 60

Step-by-step explanation:

Cost of 1 cup = 80

Actual cost of 6 cups = 80 x 6 = 480

1/2 dozen cups were bought for 420

Discount 480 - 420 = 60

1/3 of the profits is $1632 * 1/3 which would equal, $544

so 726- 544= $182 sweatshirt sales

but we're looking for 1/3 of sweatshirt sales, so

3 * 182 = $546 and that's your answer

Answer:

"ill get back to you on that lol"

Step-by-step explanation:

a

because it has the highest values from all the options from all the above