What number can be used to complete the volume statement for the cone?
4 m
3 m
Volume =
sm

Answer:

z=5.86666666667

Step-by-step explanation:

15z-81=7  

15z=88

15/15=88/15

z=5.86666666667

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

[tex]\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}[/tex], where,

r = Radius of circle,

[tex]\theta[/tex] = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

[tex]78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}[/tex]

[tex]78=2\cdot 3.14\cdot r\cdot \frac{7}{36}[/tex]

[tex]78= 3.14\cdot r\cdot \frac{7}{18}[/tex]

[tex]78= r\cdot \frac{21.98}{18}[/tex]

[tex]r\cdot \frac{21.98}{18}=78[/tex]

[tex]r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}[/tex]

[tex]r=63.8762511373[/tex]

Upon rounding to nearest hundredth, we will get:

[tex]r\approx 63.88[/tex]

Therefore, the radius of circle H is approximately 63.88 miles.

Answer:

$223.71

Step-by-step explanation:

We are given the following information

We use the loan repayment formula

Monthly Payment, [tex]A=\dfrac{P*r(1+r)^n}{(1+r)^n-1}[/tex]

Where:

[tex]A=\dfrac{14299*\frac{0.04}{12}(1+\frac{0.04}{12})^{72}}{(1+\frac{0.04}{12})^{72}-1}\\=\$223.71[/tex]

Esperanza can expect to pay $223.71 monthly.

Answer:

The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function (c) has a domain of x ≥ 3.  (Your " >3" does not match the problem statement.)

Justification:  for x ≥ 3, the quantity under the radical sign is ≥ 0, as it must be.

Answer:

110in2

Step-by-step explanation:

Area = (base1 + base2 ) * height /2

        = ( 9 + 13) *10 /2 = 110in2

Answers:

110in^2

Step-by-step explanation:

area pf rectangle=l×w

=9in×10in

=90in^2

area of 1st triangle

A=bh/2

=2in×10in/2

=20in^2/2

=10in^2

area of 2nd triangle=10in^2

Area of trapezoid =90in^2+10in^2+10in^2

=11in^2

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

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Answer:

Step-by-step explanation:

455 per month for 60 months = 60 * 455 = 27,300

Plus amount of down payment = 27,300 + 3,500 = 30,800

Finance charge = 30,800-26,750 = 4,050

Answer:

35,000

Step-by-step explanation:

~Because it's over 500~

Answer: 35000

Step-by-step explanation: 34,513 use the rule of rounding 5 or more add one more = 35000

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

Answer:

I believe the answer is 37.5 (37 1/2)

Step-by-step explanation:

First you convert 7 1/2 to a decimal to make it easier (7.5) then multiply 7.5 by 5 to get 37.5 , then you convert that back to fraction which would be 37 1/2

Hope this helps!!

The area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have length of the room = 7 1/2 = 15/2 inches

Width of the room = 5 inches

Area of the room = (15/2)(5) = 75/2 square inches

Scale: 1/2 in = 1 ft

1/4 square inches = 1 square ft

1 square inches = 4 square ft

= (75/2)×4

= 150 square ft

Thus, the area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

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Answer:

72

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

x^3 y when x = -2 and y = 3

(-2)^3  * 3

-8 *3

-24

This is true

Step-by-step explanation:

the answer should be 18

Answer:

Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.

=> Option B is correct.

Hope this helps!

:)

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

Answer:

Mode is 30

Option A.

Step-by-step explanation:

Hope the rest helps if you need it :)

Answer:

multiply the numerator by the other numerator and denominator by the other denominator

1/2×2/4=2/8=1/4

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Answer:

Step-by-step explanation:

hello :

this line passes trough A(1,1) and B(2,4)

the slope is :   (YB - YA)/(XB -XA)

(4-1)/(2-1)  = 3/1

the slope is  : 3.....answer : C  (parallal means : same slope)

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

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Answer:

Julie has 6 photos that she wants to rearrange.

Two of them are fixed at the middle position.

=> There are 4 photos left for rearranging.

=> This is the permutation with n = 4, k = 4.

=> The number of ways Julie can arrange the photos:

    N = 4 x 3 x 2 x 1 = 24 ways

Hope this helps!

:)

Answer:

y=45

x=90

Step-by-step explanation:

x is a right angle, y is vertical from 45 degrees making it congruent to it.

Answer:

C: x=90 y=45

Step-by-step explanation:

The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.

Answer:

3/12

Step-by-step explanation:

because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd

Answer:

SSS

Step-by-step explanation:

We know 2 of the sides are equal

The thirds side is the same length by the reflexive property since it is the same side

The triangles are congruent by SSS or the side side side postulate

Answer:

$218.40

Step-by-step explanation:

i=prt

i=(5200)(.042)(1)

Answer:

arc BAD = 244°

Step-by-step explanation:

The sum of the angles around the centre of the circle = 360°, thus

∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°

The angle at the centre is equal to the arc that subtends it, thus

arc BAD = arc BA + arc AD = 136° + 108° = 244°

The requried measure of arc BAD on circle P is given as  244°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as

∠APD = 360° - (136 + 74 + 42)°
∠APD   = 360° - 252° = 108°

The angle at the center is equal to the arc that subtends it, thus

Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°

Thus, the requried measure of arc BAD on circle P is given as  244°.

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Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

Answer:

x=3

Step-by-step explanation:

set up the equation

(8x-3)=(5x+6)

then solve for x by adding 3 on both sides and subtracting 5x from both sides to get x by its self

you end up with

3x=9

divide 9 by 3 and theres your answer

x=3

Answer:

number 1 is 5 inches

Step-by-step explanation:

it fits in the 15 inches 3 times.

5*3=15

SA of half of this cylinder:

1/2*2pi(3)^2+1/2*2pi*3*25

9pi+75pi

84pi cm^2 OR 263.89 cm^2

Answer:

yes, the corner is at a 90 angle

Step-by-step explanation:

Answer:

It is a right triangle.

Step-by-step explanation:

We know that 5, 4 and 3 is a Pythagorean Triple. In this instance, however, the Hypoteneus is 50, with the other sides being 40 and 30. This is simply the Pythagorean triple but ×10 larger.

You can also check this by:

50²= 30²+40²

---------------------------------------

Therefore, if the side-lengths is a Pythagorean triple, then the figure is a right triangle.