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Korolek [52]
3 years ago
9

Find the missing side of this right triangle

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

x ≈ 14.7

Step-by-step explanation:

use pythagorean therorem

a^2 + b^2 = c^2

c is hypotenuse and we know the hypotenuse is 21

a^2 + b^2 = c^2

x^2 + 15^2 = 21^2

x^2 + 225 = 441

x^2 = 216

x = √216

x ≈ 14.7

You might be interested in
Question 11-(3 marks available)
klasskru [66]

Answer: 1080 cm^{2}

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

The sides of the triangular base are:

b1 = 13 in.

b2 = 14 in.

b3 = 15 in.

The triangular base is a right triangle, and so the height is one of our sides. We will use

h = 12 in.

The length of the prism is

l = 20 in.

total surface area = bh + (b1+b2+b3)*l

bh = 12*20 = 240 cm^{2}

l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 cm^{2}

TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 cm^{2}

to know more about prism,

brainly.com/question/16128664

5 0
1 year ago
Which equation shows a line with a slope of 3 that passes through the point ((1,-2)
qaws [65]

Answer:

y = 3x - 5

Step-by-step explanation:

Slope m = 3

Using (1,-2)

Slope-intercept: y = mx + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

then y = 3x - 5

7 0
2 years ago
Determine the measure of ∠Y.
ira [324]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no
Fofino [41]

Answer:

A unique triangle

Step-by-step explanation:

12+7 > 14

12 + 14 > 7

7 + 14 > 12

By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)

7 0
3 years ago
Write and solve a story problem about gathering three kinds of vegetables. Use 10 partners.
Nata [24]

Answer:

Cameron and Rebecca are organizing a lunch for their friends. Within the dishes to be served, they will prepare a tomato, carrot and broccoli salad. The number of tomatoes and carrots are 10-partners and the total amount of vegetables is 12. If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners. What is the number of tomatoes, carrots and broccoli bought by Cameron and Rebecca?

<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>

Step-by-step explanation:

Number of tomatoes = x

Number of carrots = 10 - x

Number of broccoli = y

System of Equations:

x + 10 - x + y = 12

y = 12 - 10

y = 2

x - 2 + y + 3 = 10 (If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners)

x + 1 + y = 10

x + y = 9

y = 9 - x

Substitution of y:

x + 10 - x + y = 12

x + 10 - x + 9 - x = 12

-x + 19 = 12

-x = 12 - 19

x = 7 ⇒ 10 - x = 3

<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>

Note: Same answer to question 14280211, answered by me today.

6 0
3 years ago
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