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Blizzard [7]
2 years ago
15

Triangle OPQ is similar to triangle PST. Need this asap

Mathematics
1 answer:
mars1129 [50]2 years ago
3 0

Answer:

58.2

Step-by-step explanation:

We can find the length of RS using similarity ratio

7/34 = 12/RS cross multiply expressions

7RS = 408 divide both sides by 7

RS = 58.2 approximately.

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If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Cerrena [4.2K]

Answer:

v = 23

Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

Make v subject of the formula as follows;

(i) Multiply both sides by m

ma = m²g - kv²

(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

v = √ [(m²g - ma) / k]            --------------(ii)

From the question:

a = 2.8

m = 12

g = 9.8

k = 8/3

Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

v = √ [1377.6 / (8/3)]

v = √ [1377.6 x (3/8)]

v = √ [1377.6 x 3 / 8)]

v = √ [516.6]

v = 22.73

v = 23 [to the nearest whole number]

Therefore v = 23 to the nearest whole number    

3 0
3 years ago
The Statue of Liberty is about 300 feet tall and about 30 feet wide. The town of Unionville is building a smaller model for thei
hichkok12 [17]
It’s dividing by a factor of 10. So 30 divided by 10=3. You then do the same thing for the height. 300 divided by 10=30. The answer is 30.
5 0
3 years ago
Does anyone know how to do this please help me
Anit [1.1K]

Answer:

162°

Step-by-step explanation:

a circle has 360°, or the angle of a whole circle is that

so 45% of 360 =

0.45 times 360 = 162

7 0
3 years ago
What's the square root of 5​
Alenkinab [10]

Answer:

the square root of 5 2.236

4 0
2 years ago
Read 2 more answers
joshua can wash 5 cars in 1 hour and jason can wash 3 cars in one hour. at this rate, how long will it yake joshua and jason to
zvonat [6]

The answer is 3 hours  40 minutes

3 0
3 years ago
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