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olga_2 [115]
4 years ago
15

Leroy can walk 3 1/3 miles in a hour. How many miles can he walk in 2 5/8 hours?

Mathematics
1 answer:
Inessa05 [86]4 years ago
7 0
10/3mi/1hr
10/3mi/1hr*21/8hrs=10*21/24=10*7/8=70/8miles
=35/4miles=8 3/4 miles
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HI WHAT IS 7/6 OF 456327=<br> PLEEEEAAASE HEEEELLLP ME!!!!!!!!
zloy xaker [14]

Answer:

532381.5

Step-by-step explanation:

456327 divided by 6 to get 1/6 = 76054.5

76054.5 x 7 to get 7/6 = 532381.5

or 456327 (6/6) + 76054.5 (1/6) =532381.5

3 0
3 years ago
A 10 foot tree create a shadow that is 15 feet long. Find the angle of elevation of the sun
Solnce55 [7]

Answer:

The angle of elevation of the sun is 33.7⁰

Step-by-step explanation:

let the height of the tree, T = 10 foot

length of the shadow created by the tree, B = 15 feet long

Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.

Let the remaining side, hypotenuse, L = ?

Apply Pythagoras theorem;

L ² = T² + B²

L ² = 10² + 15²

L ² = 325

L = √325

L = 18.03 ft

The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.

Let the angle of elevation = θ

tan θ = opp / adj

tan θ  = 10 / 15

tan θ  = 0.66667

θ = tan ⁻¹ (0.66667)

θ = 33.7⁰

Therefore, the angle of elevation of the sun is 33.7⁰

5 0
4 years ago
A
quester [9]

Answer:

  • 8 cm

Step-by-step explanation:

<u>Set inequality as per question:</u>

  • 2000 ≤ V ≤ 2500

<u>We know that:</u>

  • V = πr²h
  • h = 10 cm
  • π = 3.14

<u>Substitute and solve for r:</u>

  • 2000 ≤ 3.14*10r² ≤ 2500
  • 2000 / 31.4 ≤ r² ≤ 2500 / 31.4
  • 63.69 ≤ r² ≤ 79.62
  • 64 ≤ r² < 81
  • r² = 64 ⇒ r = 8 cm is the possible radius
7 0
2 years ago
5x-2&lt;8 i need to solve this question
svetlana [45]
I did this excat problem in school but my teacher just gave us the answer which is X<2
7 0
3 years ago
Read 2 more answers
URGENT!! Solve the following for θ, in radians, where 0≤θ&lt;2π.
lidiya [134]

Answer:   0.93 radians & 2.21 radians

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

-4sin^2\theta-3sin\theta+5=0\\\\\text{Since this is not factorable, use the quadratic formula to find the roots:}\\\\sin\theta=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(-4)(5)}}{2(-4)}\\\\\\.\quad=\dfrac{3\pm \sqrt{9+80}}{-8}\\\\\\.\quad=\dfrac{3\pm\sqrt{89}}{-8}\\\\\\.\quad=\dfrac{3\pm9.43}{-8}\\\\\\.\quad=\dfrac{12.43}{-8}\quad and\quad \dfrac{-6.43}{-8}\\\\\\.\quad=-1.55\quad and\quad 0.80\\\\\\\theta=sin^{-1}(-1.55)\quad and\quad \theta=sin^{-1}(0.80)

\theta=not\ valid\qquad and\quad \theta=0.927

\theta = 0.927\ radians\text{\ in the 1st quadrant and}\\\pi-0.927=2.21\ radians\text{\ in the 2nd quadrant}

6 0
4 years ago
Read 2 more answers
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