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3 years ago

(y+1) +4 rewrite each expression i need help plss

1 answer:

7 0

To rewrite, all we have to do is apply the associative property of addition. It allows us to write the expression as y + (1 + 4) we could even take it one step further and combining our terms for y + 5

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Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amou

Westkost [7]

To find the answer, we multiply 1,047.30 by 6.2% which is 0.062 in percentage.
1047.30 x 0.062 = 64.93
64.93 is being taken away.

3 0

3 years ago

Read 2 more answers

For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form

jek_recluse [69]

Answer:

$\displaystyle \cos(A + B) =\frac{969}{1769}$

Step-by-step explanation:

We are given that:

$\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}$

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

$o=\sqrt{29^2-20^2}=21$

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

$h=\sqrt{11^2+60^2}=61$

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

$\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B$

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

$\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)$

Simplify:

$\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}$

3 0

3 years ago

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

timama [110]

Answer:

the number of families needed for the survey is 2,157

Step-by-step explanation:

The computation of the number of families needed for the survey is shown below:

Given that

The Standard deviation is $900

Service level = 99%

z value at 99% = 2.58

Expenditures = $50

Based on the above information

The number of families needed for the survey is

$n = (\frac{zs}{E})^2\\\\= (\frac{2.58\times 900}{50})^2$

= 2,157

Hence, the number of families needed for the survey is 2,157

8 0

3 years ago

Y=2x+1 x−y=−3 Is (2,5) a solution of the system?

GuDViN [60]

Sorry i am not now sorry

8 0

3 years ago

You need to buy the supplies to carpet a 15 foot by 14 foot room. The padding costs $0.89 per square foot and the carpeting cost

ryzh [129]

Total cost = 15*14 ( 0.89 + 2.99 ) + 2(15 + 14) 0.19 = $825.82

7 0

3 years ago