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3 years ago

(25 Points) The measure of b is ______?

Mathematics

2 answers:

Eva8 [605]3 years ago

6 0

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse (opposite the right angle)

20^2 +b^2 = 29^2

400 + b^2 =841

Subtract 400 from each side

400-400 +b^2 = 841-400

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b = 21

Levart [38]3 years ago

3 0

Answer:

Step-by-step explanation:

You have a right triangle, so you can use the Pythagorean theorem, where a and b are the lengths of the legs, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 841 - 400

b^2 = 441

b = 21

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In a garden, the ratio of daisy plants to jasmine plants is 3:7. How many daisy plants are there if there are 210 jasmines in al

telo118 [61]

210 / 7 = d / 3

30 = d / 3

d = 90 so there's 90 Daisies

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4 years ago

The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b

masha68 [24]

Answer:

The fraction is $\frac{4}{6}$

Option (B) is correct.

$3n-2d=0$ and $4n+8=3d+6$

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is $\frac{n}{d}=\frac{2}{3}$

Cross multiply , we get,

$3n=2d$

Or, $3n-2d=0$ ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is $\frac{n+2}{d+2}=\frac{3}{4}$

Cross multiply , We get,

$4{n+2}={3}{d+2}$

$4n+8=3d+6$ .........(2)

$3d-4n=2$ .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0 ............(1)

and 3d - 4n = 2 .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0 ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0 ⇒ 12 = 2d ⇒ d = 6

so, the numerator is 4 and the denominator is 6.

Thus, the fraction is $\frac{4}{6}$

6 0

3 years ago

What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

goldenfox [79]

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

$\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}$

b = base length = 25 mm

H = height

We have to find 'H' using Pythagorean theorem,

slant height (hypotenuse) = 28 mm

leg₁ = base length ÷ 2 = 25÷2 = 12.5

leg₂ = H

H² + (12.5)² = 28²

H² = 784 - 156.25

= 627.75

$\sf H = \sqrt{627.75}$

H = 25.01 mm

$\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }$

= 5229 mm³

$\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}$

3 0

2 years ago

Read 2 more answers

Determine the area of the circle. Use 3.14 for T. Round the answer to the nearest hundredth.

siniylev [52]

Answer:

Step-by-step explanation:

$a = \pi \times {r}^{2}$

3.14×2.4²=18.0864

hope it helps

have a nice day

4 0

3 years ago

Simplify. 8^2*8^7 Please help

yuradex [85]

8^2 is 64 and 8^7 is 2097152 and do 64*2097152 which is 134217728.

8 0

3 years ago