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Vesnalui [34]
3 years ago
6

Find the circumference of a circle with a radius of 2.5 cm

Mathematics
1 answer:
solmaris [256]3 years ago
8 0
C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm
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Find x and y, given that line WS and line VT are parallel. Show all work!
bulgar [2K]

In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.

\frac{VT}{WS} =\frac{VU}{WU}=\frac{TU}{SU}..........(Equation 1)

Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

WU=WV+VU=12+8=20

TU=5

SU=ST+TU=(x-2)+5=x+3

Thus, substituting the required values in (Equation 1) we get:

\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}

Now, as can be clearly seen, to find y we will use the first two ratios as:

\frac{y}{22}=\frac{8}{20}

y=\frac{8\times 22}{20}=8.8

In a similar manner, to find the value of x we can use the last two ratios:

\frac{8}{20}=\frac{5}{x+3}

After cross multiplication we get:

5\times 20=8(x+3)

Which can be simplified as:

x+3=\frac{100}{8} =12.5

Thus, x=12.5-3=9.5

Therefore, the required answer is:

x=9.5 and y=8.8



7 0
3 years ago
Easy slope question need answer FAST
mars1129 [50]

Answer:

Assuming that the scale is 1, x int: (-4,0), y int: (0,-3)

Step-by-step explanation:

Hope this helps :)

5 0
2 years ago
Read 2 more answers
You have $5 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the total amount $A$A​ (in d
hjlf

Answer: Your equation would be A(J)=.50j + 5

Step-by-step explanation:

6 0
2 years ago
Mrs Hong had some milk. She used of it to bake some waffles and
Sergio [31]

<u><em>Answer:</em></u>

Mrs. Hong originally had 900 ml of milk

<u><em>Explanation:</em></u>

The complete question is in the attached image

Assume that the amount of milk Mrs. Hong originally had was x ml

<u>We are given that:</u>

1- She used \frac{1}{6} of it to bake the waffles, <u>therefore</u>:

   Amount used in baking waffles = \frac{1}{6}x ml

2- She used 300 ml to bake a pie

3- Amount left is half the original amount, <u>therefore</u>:

   Amount left = \frac{1}{2}x ml

<u>We know that:</u>

Total amount = amount used in waffles + amount used in pie + amount left

<u>Substitute with the givens and solve for x:</u>

Total amount = amount used in waffles + amount used in pie + amount left

x = \frac{1}{6}x + 300 + \frac{1}{2}x\\  \\x-\frac{1}{6}x-\frac{1}{2}x = 300\\   \\\frac{1}{3}x = 300\\  \\x = 300*3 = 900 ml

<u>This means that:</u>

She originally had 900 ml of milk

Hope this helps :)

7 0
3 years ago
Use the triangle below to find the following trig ratios. Express your answer as a fraction.
Luda [366]

Answer:

Step-by-step explanation:

First we need the length of the hypotenuse.

20^2 + 21^2 = c^2

400 + 441 = c^2

841 = c^2

29 = c

If you are using angle B as your theta (angle from which the relations are formed:

a) sin = O/H = 20/29

b) cos = A/H = 21/29

c) tan = O/A = 20/21

5 0
2 years ago
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