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Slav-nsk [51]
3 years ago
10

You are making a poster that will have a uniform border, as shown. the total area of the poster is 722 square inches. find the w

idth of the border to the nearest inch

Mathematics
1 answer:
olga55 [171]3 years ago
6 0
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.
 For this case the area is given by:
 A = (22 + x) * (28 + x) = 722
 Rewriting we have:
 616 + 22x + 28x + x ^ 2 = 722
 x ^ 2 + 50x + 616 - 722 = 0
 x ^ 2 + 50x - 106 = 0
 Solving the polynomial we have:
 x1 = 2.04
 x2 = -52.04
 We take the positive root:
 x = 2.04 inches:
 Answer:
 
The width of the border to the nearest inch is:
 
x = 2inches

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Brielle and Joshua are running a half marathon race, which is 13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles and
CaHeK987 [17]

Answer: Brielle will run the marathon faster.

Brielle = 104.8 minutes  

Joshua = 157.2 minutes

Step-by-step explanation:

Speed rate = distance /time

Brielle = 1.25 /10 = 0.125 miles per minute

Joshua = 1.5/18 = 0.083333 =1/12 miles per minute

Since 0.125 (Brielle) > 1/12 (Joshua)

Brielle will run the marathon faster.

To calculate the time that takes each one to run the entire race (13.1 miles)

Time= distance / speed

  • Brielle = 13.1 /0.125 = 104.8 minutes
  • Joshua = 13.1 / (1/12)= 157.2 minutes

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Find the slope of 10y = 7x + 5.<br> Round to the third.
hram777 [196]

Answer:

0.7

Step-by-step explanation:

10y = 7x + 5

Divide both sides by 10.

y = 7x/10 + 5/10

y = 0.7x + 0.5

On a straight line of the form y = kx + m, k is the slope of the line.

In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7

Answer: 0.7

8 0
3 years ago
Given h(x) = x2 – 5x + 7, find the following.<br> a. h(2)<br> b.h(-5)<br> c. h(-8)
azamat

Answer:

Step-by-step explanation:

hello :

h(x) = x² – 5x + 7

h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21

h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57

h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111

5 0
3 years ago
It is difficult to override a presidential veto?Why do you think is it difficult? Do you think thisgood thing? Why or why not?
Vanyuwa [196]
It is difficult to overthrow a presidential veto because each house has to have a two-thirds majority vote to overthrow The veto. it is difficult because 2/3 is more than 1/2 and it has to be in each house so it is very difficult. I think this is a good thing because if Congress wanted to pass a bill the president did not like then it is hard for them to pass it and the president is the leader so he should make the big decisions.
3 0
3 years ago
PLEASE HELP WITH GEOMETRY IM STUCK!?}
Ilya [14]

Answer:

13.8

Step-by-step explanation:

Recall the trigonometric ratios

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now lets look back at the question

We are given an angle and its adjacent side length (11) and we need to find the hypotenuse

The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x

( remember that cosine = adjacent over hypotenuse )

cos(37)=\frac{11}{x}

step 1 multiply each side by x

cos(37)*x=xcos(37)\\\frac{11}{x} *x=11

now we have xcos(37)=11

step 2 divide each side by cos(37)

\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\

we're left with x = 13.77439

Our last step would be to round to the nearest tenth

We would get that the answer is 13.8

3 0
3 years ago
Read 2 more answers
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