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-Dominant- [34]
3 years ago
9

The extended ratio of the sides of a triangle is 7:8:10. The perimeter of the triangle is 275 cm. How many centimeters is the LO

NGEST side of the triangle?
Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

Longest side = 110 cm

Step-by-step explanation:

The extended ratio of the sides of a triangle is 7:8:10

Let sides are 7x, 8x and 10x.

The perimeter of the triangle is 275 cm.

Perimeter of a triangle = sum of all sides

7x+8x+10x = 275

25x = 275

x = 11

Longest sides of the triangle = 10x

= 10 (11)

= 110 cm

So, the longest side of the triangle is 110 cm.

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4) Given the line with equation 2x + 5y= 10 :
Svetlanka [38]
A. <span>2x + 5y= 10
    5y= -2x+10
</span>-> y= -2/5x+2

b. The slope is 2

c. For the y  intecpet, x is always 0

y= -2/5x+2
y= -2/5(0)+2
y=0+2
y=2

(0,2) is the y-interecpt

d. Please veiw below

4 0
3 years ago
. In the 107th Congress, the Senate consists of 13 women and 87 men. If a lobbyist for the tobacco industry randomly selects thr
brilliants [131]

Answer:

0.18% probability that they are all women

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the senators are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

3 women, from a set of 13. So

D = C_{13,3} = \frac{13!}{3!(13 - 3)!} = 286

Total outcomes:

3 senators, from a set of 100. So

T = C_{100,3} = \frac{100!}{3!(100 - 3)!} = 161700

Probability;

p = \frac{D}{T} = \frac{286}{161700} = 0.0018

0.18% probability that they are all women

5 0
3 years ago
An item is regularly priced at $20 . It is on sale for 85% off the regular price. What is the sale price?
Pie
20/100=.20•85=17 so 17 is the answer
6 0
3 years ago
Read 2 more answers
Which pair of measurements is equivalent?
NNADVOKAT [17]
Let's look at each pair and change it so the first one in the pair will be what the second one will be converted to.
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.
6 0
3 years ago
Read 2 more answers
Help Perform the indicated operation.<br><br> (-7) · (-5)<br><br> -12<br> -35<br> 12<br> 35
Flauer [41]
<h3>Answer:</h3>

35

<h3>Step-by-step explanation:</h3>

(-7) • (-5)

= 7 • 5

= 7 + 7 + 7 + 7 + 7

= 14 + 7 + 7 + 7

= 21 + 7 + 7

= 28 + 7

= 35

4 0
3 years ago
Read 2 more answers
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