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2 years ago

Triangles are similar. Round answer to nearest tenth (step by step)

Mathematics

2 answers:

Allisa [31]2 years ago

8 0

Answer:

13.5

Step-by-step explanation:

pls point me as well . and hope it helps

ozzi2 years ago

7 0

Answer:

13.5

Step-by-step explanation:

Similar = alike but not the same

A lot of times in geometry it would mean that they have the same shape, just different size, so first find the ratio:

6/12 = 1/2

27 * 1/2 = 27/2 = 13.5

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The number of professors in a college is p and the number of students is s, there are 16 times as many students as professors wr

Reika [66]

Algebraic expression is:

$\boxed{p=16x}$

8 0

3 years ago

The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of

Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0

3 years ago

Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ

DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

∅8=345°

Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

III quadrant:

180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

360°-15°=345°

No intersection whit the pole (0)

7 0

3 years ago

What is the value of this expression 1/5-^5?

densk [106]

Answer:

B.3125

Step-by-step explanation:

7 0

3 years ago

Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the r

AleksAgata [21]

Answer:

Step-by-step explanation:

Given that Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the remaining portions equally among 5 charities.

The portion son gets = $1/8 of 92000 = 11500 $$

Charity on the whole gets = 3 portions = $3/8 *92000 = 34500$$

Each charity gets = $34500/5 = 6900$$

Thus we find son gets 11500 dollars while each charity gets 6900 dollars.

The difference = $11500-6900\\= 4600$

4600 dollars he got more.

5 0

3 years ago