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3 years ago

Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation.

Mathematics

1 answer:

hodyreva [135]3 years ago

7 0

Answer:

sinθ = $\frac{24}{25}$

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

= (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ = $\frac{24}{25}$ will be the answer.

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The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?

ivolga24 [154]

Answer:

The volume of the cone is 100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr² $\frac{h}{3}$

where v is the volume of the cone

r is the radius and h is the height of the cone

from the question given, diameter d = 8 units but d=2r which implies r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr² $\frac{h}{3}$

v ≈ 3.14 × 4² × 6/3

v ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the volume of the cone is 100 .48 units³ approximately

6 0

3 years ago

Divide.

Elenna [48]

Answer:

51715x/19x

Step-by-step explanation:

6 0

2 years ago

[30 POINTS] Please help!!!

Len [333]

Answer:

Part 1) $y=1.5x+5$

Part 2) $y=-(2/3)x-(11/3)$

Part 3) $y=0.25x+2.75$

Part 4) $y=-2x+5$

Part 5) $y=0.5x-1$

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

$m=3/2=1.5$

$point(-2,2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-2=1.5(x+2)$

$y=1.5x+3+2$

$y=1.5x+5$

Part 2) we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

$m1*m2=-1$

the slope of the line 1 is equal to

$m1=1.5$

Find the slope m2

$1.5*m2=-1$

$m2=-2/3$

Find the equation of the line 2

we have

$m2=-2/3$

$point(-7,1)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-1=(-2/3)(x+7)$

$y=-(2/3)x-(14/3)+1$

$y=-(2/3)x-(11/3)$

Part 3) we have

$m=1/4=0.25$

$point(1,3)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-3=0.25(x-1)$

$y=0.25x-0.25+3$

$y=0.25x+2.75$

Part 4) we have

$m=-2$

$b=5$ -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

substitute the values

$y=-2x+5$

Part 5) we have that

The slope of the line 4 is equal to $-2$

the slope of the line perpendicular to the line 4 is equal to

$-2*m=-1\\m=(1/2)=0.5$

therefore

in this problem we have

$m=0.5$

$point(-2,-2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y+2=0.5(x+2)$

$y=0.5x+1-2$

$y=0.5x-1$

Part 6)

using a graphing tool

see the attached figure

3 0

3 years ago

The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe

vesna_86 [32]

Answer:

Null hypothesis: Policy B remains more effective than policy A.

Alternate hypothesis: Policy A is more effective than policy B.

Step-by-step explanation:

Remember, a hypothesis is a usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.

We have two types of hypothesis errors:

1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.

That is, rejecting the assumption that policy B remains more effective than policy A when it is actually true.

2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is actually false.

3 0

3 years ago

7-4(x+1/2)²=0 please help

vazorg [7]

Step-by-step explanation:

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8 0

2 years ago