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3 years ago

Vince worked 675 hours in 15 weeks. At what rate did he work in hours per week?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

6 0

Answer:

45 hours a week

Step-by-step explanation:

Ok, so we know that he worked 675 hours in 15 weeks.

So all we need to do is divide the hours by the amount of weeks, which is 15:

675/15= 45

So he worked 45 hours a week!

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6 +67 _^76 + 9 x 2087 - 9012 = 1000

Step-by-step explanation:

98 + 2000 - 76 = 1000

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2 years ago

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3 years ago

Find the measurement of either the leg or the hypotenuse: A = B = 21 C =<br> 35

Varvara68 [4.7K]

Answer: x = 40.81 or 41

Step-by-step explanation:

A = B = 21

C = 35

Hypotenuse = x

Calculating Hypotenuse:

21^2 + 35^2 = x^2

=> 441 + 1225 = x^2

=> x^2 = 1666

=> x = 40.81 or 41

5 0

3 years ago

Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in

tatuchka [14]

Answer:

The equation representing how old Monique son is $\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

$q(t) = \hat q \times t + q_o$

where;

$q_o$ = initial height of Monique's son

$\hat q$ = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

$\hat q = 2 \dfrac{5}{8} \ in/yr$

$\hat q = \dfrac{21}{8} \ in/yr$

Then; from the equation $q(t) = \hat q \times t + q_o$

$34 = \dfrac{21}{8} \times 0 + q_o$

$q_o = 34\ inches$

The height of the son as a function of the age can now be expressed as:

$q(t) = \dfrac{21}{8} \times t + 34$

Then:

Making t the subject;

$q - 34 = \dfrac{21}{8} \times t$

$t = \dfrac{8}{21}(q-34)$

and the age of the son i.e. ( a (in years)) is:

a = 2 + t

So;

$\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

SO;

if q (growth rate) = 50 inches tall

Then;

$\mathbf{a = 2 + \dfrac{8}{21}(50-34)}$

$\mathbf{a = 2 + \dfrac{8}{21}(16)}$

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0

2 years ago

in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that

ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

3 0

3 years ago

Vince worked 675 hours in 15 weeks. At what rate did he work in hours per week?​

Vince worked 675 hours in 15 weeks. At what rate did he work in hours per week?