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3 years ago

If the area of a triangle is 48 cm2 and the base of the

Mathematics

1 answer:

makvit [3.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

Formula for height of triangle

A÷BX2

In this case, 48÷12=4×2=8

Hope you understand ☺️

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hugo must divide 5 apples among his 3 nephews. Each nephew receives the same amount, and there are no apples left over. How many

Rashid [163]

Answer:

Step-by-step explanation:

5 divided by 3 is 1.6666 which is the same as 1 and 2/3

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3 years ago

Read 2 more answers

Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.

WARRIOR [948]

Answer:

3rd option

Step-by-step explanation:

Using the identities

cot x = $\frac{1}{tanx}$

csc² x = 1 + cot² x

Given

tanθ = $\sqrt{3}$ , then cotθ = $\frac{1}{\sqrt{3} }$

csc²θ = 1 + ( $\frac{1}{\sqrt{3} }$ )² = 1 + $\frac{1}{3}$ = $\frac{4}{3}$

cscθ = ± $\sqrt{\frac{4}{3} }$ = ± $\frac{2}{\sqrt{3} }$

Since θ is in 3rd quadrant, then cscθ < 0

cscθ = - $\frac{2}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = - $\frac{2\sqrt{3} }{3}$

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3 years ago

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height

Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

$y(t)=43t-23t^{2}$

B) Instantaneous Velocity at t = 1

$y(1) = 43(1)-23(1)^2 = 20$

A) Formula:

Average velocity =

$\displaystyle\frac{\text{Displacement}}{\text{Time}}$

1) 0.01

$y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}$

2) 0.005 s

$y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}$

3) 0.002 s

$y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}$

4) 0.001 s

$y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}$

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3 years ago

Name the pairs of equivalent ratios: 2:3, 9:12, 8:5, 1:2, 2:1, 16:10, 3:6, 6:9, 5:8, 3:4 Tell how you know they are equivalent.

Svetach [21]

Answer:

Step-by-step explanation:

2:3 And. 6:9

3:4 And 9:12

8:5 and 16:10

1:2. And 3:6

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3 years ago

A spaceship traveled 32 million miles. In scientific notation that is _____ miles. 3.2 × 10-7 3.2 × 10-6 3.2 × 106 3.2 × 107

In-s [12.5K]

In scientific notation :
32 million miles is 3.2 x 10 ^7 miles.

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3 years ago