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diamong [38]
3 years ago
5

Find the area of this triangle. Round to

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

63.3 square feet

Step-by-step explanation:

Let a = 20 ft, B = 15 ft, c = 9ft

s=\frac{a+b+c}{2}

s=\frac{20+15+9}{2}

s=\frac{44}{2}

s=22\: ft

Area \: of \:\triangle  =  \sqrt{s(s - a)(s - b)(s - c)}  \\  \\  = \sqrt{22(22 - 20)(22 - 15)(22 - 9)}  \\  \\= \sqrt{22 \times 2 \times 7 \times 13}  \\  \\= \sqrt{44 \times 91}  \\  \\ =  \sqrt{4,004}  \\  \\  = 63.2771681 \\  \\   \approx 63.3 \:  {ft}^{2}

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Find the value of x.<br> A) 55<br> B) 60<br> C) 70<br> D) 125
Anna11 [10]

Answer:

x = 70°

Step-by-step explanation:

The given triangle has 2 equal sides and is therefore isosceles.

The base angles are equal, both 55°

To find x subtract the sum of the 2 angles from 180

x = 180° - (55 + 55)° = 180° - 110° = 70°

6 0
4 years ago
You buy 2 shirts and 1 pair of pants for $34. Your friend buys 3 shirts and 3 pairs of pants for $69. What is the price of 1 shi
V125BC [204]

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

First let’s define a shirt as X and pants as Y!

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40  

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

3X + Y= $32—> subtract 3X on both sides of the equation  

-3X.        - 3X

Net result: Y= 32- 3X

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable  

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation  

-7X + 96 = $40 —> substrate 96 from both sides  

-7X = -56 —> divide both sides by -7  

X= 8  

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

ANSWER: X= 8, Y= 8

7 0
2 years ago
A singing competition is auditioning 40 contestants each hour for the next h hours. Which equation can be used to find the total
Advocard [28]
C= 40c 
A singing competition is auditioning 40 contestants each hour. For every value of h it will add 40 which will equal the total number of contestants that audition in h hours. 
Check: 40(2)=80 (Correct)
            40(3)=120 (Correct) 
And so on. 
3 0
3 years ago
Read 2 more answers
-5x+12=-13<br><br><br> Show all of your work
WARRIOR [948]

Answer: 5

Step-by-step explanation

-5x = -25

-5 (5) = 25

5 0
3 years ago
Read 2 more answers
A dot-com company’s CEO is worried that the employees feel over-worked. She waits till 7 p.m. one night and proceeds to briefly
Svetach [21]

Answer:

Time wastage and not formal enough

Step-by-step explanation:

He didn't have to wait till that time to ask the the question, besides keeping them there will cause uneasiness between the workers because it's already late.

Another point is that some people might not decided to give him the reply face to face, as they night sound rude or something more than that.

A more formal approach and less time consuming and less stressful method like may be filling of forms, papers , or complaint letters should be used instead.

4 0
3 years ago
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