180:60 in its simplest form

Answer:

8. the length is 88/5cm or 17.6cm

Step-by-step explanation:

8.perimeter =2L + 2W

when you convert the width 42/5 = 8.4

so 52 = 2L + 2*8.4

52= 2L + 16.8

52 - 16.8 = 2L

35.2 = 2L

divide both sides by 2

L = 17.6cm

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

Answer:

=7

Step-by-step explanation:

= -8+(-5)+9+11

= -8-5+20

= -13+20

= 7

Answer:

Area = 64pi, Circumfrence=2pi(8)

Step-by-step explanation:

Answer:

Depends. Down below.

Step-by-step explanation:

It depends.

Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft

Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft

Answer:

Equation of axis of symmetry is x = 2

Step-by-step explanation:

The equation of the parabola is given as;

y = -2x² + 8x - 7

The equation of the axis of symmetry is given by;

x = -b/2a

In the parabola equation given and using letters of quadratic equation, we can say that;

a = - 2

b = 8.

c = -7

Thus;

x = -b/2a = -8/(2 × - 2)

x = 8/4

x = 2

Equation of axis of symmetry is x = 2

Answer:

y  =  −x + 4

Step-by-step explanation:

Answer:

f(n) = -6n - 10.

Step-by-step explanation:

This is arithmetic sequence with first term a1 = -16 and common difference d = -6.

So f(n) = a1 + d(n - 1)

= -16 - 6(n - 1)

= -16 - 6n + 6

= -6n - 10.

Checking:

f(10) = -6(10) - 10 = -70.

The function that defines the sequence is f(n) = -6n - 10.

A sequence of numbers which have a relation between them and the consecutive numbers increase or decrease by a fixed amount is called as an Arithmetic Sequence.

The sequence given is -16,-22,-28,-34

This is arithmetic sequence

first term a1 = -16

common difference d = -6.

The nth term of an arithmetic sequence is given by

f(n) = a1 + d(n - 1)

f(n) = -16 - 6(n - 1)

f(n)= -16 - 6n + 6

f(n)= -6n - 10.

To verify this

f(10) = -6(10) - 10 = -70.

Therefore , The nth term is given by f(n)= -6n - 10.

To know more about Arithmetic Sequence

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Answer:

b I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To solve this equation, since m is negative you need to get rid of that negative by dividing each side by -1. this will leave m and make 15, -15. so the equation will be c, m is less than or equal to -15.

Answer:

439kg of strawberries in the afternoon

Step-by-step explanation:

This is simply 314+125

Answer:

2:45 p.m.

Step-by-step explanation:

60 miles per hour for 3 hours

time: 12:30

miles driven: 180

45 minutes for lunch

time: 1:15

miles driven: 180

60 miles an hour till she hits 270

270-180=90

90 miles = 1.5 hours of driving

1.5 hours plus 1:15 = 2:45

Answer:

309 miles per hour

Step-by-step explanation:

Divide the total distance traveled by the time.  So the answer is 1236 miles divided by 4 hours, or 309 miles per hour

Answer:

let the size of the real item be x

then the size of model as prodived will be =

60% of X

60/100 × X

=3X/5 .

Answer:

According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5

Answer:

y= -2x + 11

Step-by-step explanation:

standard form for lines is y=mx+b

m is the slope and b is the y intercept

we already know that m is -2, so we just need to figure out the intercept.

the point given is (7,-3)

points are written as (x,y) so we can plug it into the equation with 7 for the x and -3 for y

-3 = -2 (7) + b

-3 = -14 + b

11 = b

so the equation is y=-2x+11

Answer:

A speaker is a term used to describe the user who is giving vocal commands to a software program. ... A computer speaker is an output hardware device that connects to a computer to generate sound. The signal used to produce the sound that comes from a computer speaker is created by the computer's sound card

Step-by-step explanation:

rate nyoooo plssss

Answer:

Can you repeat the question?

Step-by-step explanation:

Answer:

thanks for the points haha

Answer:

UV = 4; VW = 7, UW ≈ 8.06

m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°

Step-by-step explanation:

Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.

UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

UW=16+49‾‾‾‾‾‾‾√

Simplify.

UW=65‾‾‾√

Use a calculator to approximate.

UW≈8.06

Therefore, UW≈8.06.

Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.

UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√

Square.

UV=16+0‾‾‾‾‾‾√

Simplify.

UV=16‾‾‾√

Simplify.

UV=4

Therefore, UV=4.

Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.

VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

VW=0+49‾‾‾‾‾‾√

Simplify.

VW=49‾‾‾√

Simplify.

VW=7

Therefore, VW=7.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.

Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.

Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.

Therefore, m∠V=90°.

By the definition of tangent, tan∠U=VWUV.

Take the inverse tangent of both sides.

m∠U=tan−1(VWUV)

Substitute 7 for VW and 4 for UV.

m∠U=tan−1(74)

Use a calculator to calculate the inverse tangent.

The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.

m∠U≈60°

Therefore, m∠U≈60°.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.

The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.

So, m∠U+m∠W=90°.

Substitute 60° for m∠U.

60°+m∠W≈90°

Subtract 60° from both sides.

m∠W≈90°−60°

Simplify.

m∠W≈30°

Therefore, m∠W≈30°.

Answer:

1) unlikely   1/8   12.5%

2) equally likely   4/8   50%

3) likely  5/8    62.5%

4)impossible 0/10 0%

5) unlikely    3/8  37.5%

Answer:

2x2-y=1

4-y=1

-y=1-4

-y=-3

y=3

Step-by-step explanation:

Answer:

W(x)=3/5x+2

W(1)=3/5(1)+2

w(1)=13/5

꧁꧂

W(2)= 3/5×(2)+2

W(2)=3/10+2

W(2)=23/10

꧁꧂

W(3)=3/5×(3)+2

W(3)= 7

Answer:

alensdkhvabroefsljndfs

Step-by-step explanation:

Answer:

maybe uh 34567

Step-by-step explanation:

Answer:

sSS Congruence Postulate

The answer is SSS Congruence Postulate

Step-by-step explanation:

Given:

The number is [tex]-\dfrac{7}{5}[/tex].

To find:

The location of the given number of the number line.

Solution:

We have,

[tex]Number=-\dfrac{7}{5}[/tex]

It can be written as

[tex]Number=-\dfrac{5+2}{5}[/tex]

[tex]Number=-\dfrac{5}{5}-\dfrac{2}{5}[/tex]

[tex]Number=-1-\dfrac{2}{5}[/tex]

It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.

The mixed fraction form of given number is

[tex]Number=-(1+\dfrac{2}{5})[/tex]

[tex]Number=-(1\dfrac{2}{5})[/tex]

[tex]Number=-1\dfrac{2}{5}[/tex]

Divide the number in 5 equal parts between two consecutive integers.

Now each unit represents [tex]\dfrac{1}{5}[/tex].

Since [tex]Number=-1-\dfrac{2}{5}[/tex], therefore, it is 2 units left from -1.

The number line is given below.

Step-by-step explanation:

In the given triangle,

Perpendicular = d

Hypotenuse = e

Base = f

We need to find the values of sinx, tanx and cosx.

We know that,

[tex]\sin \theta=\dfrac{P}{H}\\\\\tan\theta=\dfrac{P}{B}\\\\\cos\theta=\dfrac{B}{H}[/tex],

We have, P = d, H = e and base = f

So,

[tex]\sin \theta=\dfrac{d}{e}\\\\\tan\theta=\dfrac{d}{f}\\\\\cos\theta=\dfrac{f}{e}[/tex]

Hence, this is the required solution.

Using the lengths given, the Trigonometry ratios of the right triangle are:

Recall:

Given the following:

Thus:

sin x = Opp/Hyp = d/e (SOH)

cos x = adj/Hypo = f/e (CAH)

tan x = Opp/Adj = d/f (TOA)

Therefore, using the lengths given, the Trigonometry ratios of the right triangle are:

Learn more about Trigonometry ratios on:

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Answer:

-1, y = 2

0, y = 3

2, y = 5

Step-by-step explanation:

-1, y = -1 + 3

0, y = 0 + 3

2, y = 2 + 3