Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.

Answer: x = 12, y = [tex]12\sqrt{3}[/tex]

Step-by-step explanation:

A 30-60-90 triangle has sides whose lengths are related. (shown in the diagram attached) The longest side, the hypotenuse (opposite the right angle) represents 2x. The shortest side is x, and the last side is [tex]x\sqrt{3}[/tex].

We know the longest side = 24 = 2x.

If the shortest side is x, that means that the shortest side = the longest side DIVIDED by 2. Therefore, shortest side = x = 24/2 = 12 .

The last side is y and equals x\sqrt{3} . We now know that x = 12. Hence, y = [tex]12\sqrt{3}[/tex].

Answer:

Area of Figure; 70 cubic feet

Step-by-step explanation:

See attachment below;

Answer:

62° and 54°

Step-by-step explanation:

The exterior angle of a triangle is equal to the 2 opposite interior angles.

116° is an exterior angle of the triangle, thus

2x + 4 + 3x - 13 = 116, that is

5x - 9 = 116 ( add 9 to both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Thus

∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°

∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°

Answer:

21 minutes Option B

Step-by-step explanation:

1 min

Small --> 1/70

Big --> 1/30

Together --> 1/70 + 1/30 = 3/210 + 7/210 = 10/210 = 1/21

1 divided by 1/21 = 21

Thus, it's 21 minutes (B)

Answer:

40 minutes

Step-by-step explanation:

70 minutes - 30 minutes

Answer:

1) x=5

2)x=8

3)x=4

4)x=5/2

Step-by-step explanation:

2x=10

x=5

1/2x=4

x=8

x+3=7

x=4

-14x+14=-21

-14x=-35

14x=35

x=5/2

Answer:

The final answers:

1) [tex]x = 5[/tex]

2) [tex]x = 8[/tex]

3) [tex]x = 4[/tex]

4) [tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

-Calculations for every question:

1) [tex]2x - 4 = 6[/tex]

[tex]2x - 4 + 4 = 6 + 4[/tex]

[tex]2x = 10[/tex]

[tex]\frac{2x}{2} = \frac{10}{2}[/tex]

[tex]x = 5[/tex]

2) [tex]\frac{1}{2}x + 6 = 10[/tex]

[tex]\frac{1}{2}x + 6 - 6 = 10 - 6[/tex]

[tex]\frac{1}{2}x = 4[/tex]

[tex]x = 4 \times 2[/tex]

[tex]x = 8[/tex]

3) [tex]3x + 3 = 2x + 7[/tex]

[tex]3x + 3 - 2x =2x - 2x + 7[/tex]

[tex]x + 3 = 7[/tex]

[tex]x = 7 - 3[/tex]

[tex]x = 4[/tex]

4) [tex]-7x + 14 = 7x - 21[/tex]

[tex]-7x + 14 -7x = 7x - 7x - 21[/tex]

[tex]-14x + 14 = -21[/tex]

[tex]14x + 14 - 14 = -21 - 14[/tex]

[tex]-14x = -35[/tex]

[tex]\frac{-14x}{-14} = \frac{-35}{-14}[/tex]

[tex]x = \frac{5}{2}[/tex]

Answer:

x=-156

Step-by-step explanation:

[tex] - 12 = \frac{x}{13 } \\ cross \: multiply \\ - 12 \times 13 = x \\ multiply \: \\ - 156 = x \\ x = - 156[/tex]

Answer:

I can't see the half of the question before city

Step-by-step explanation:

Then i woul dbe able to help u

Answer:

DAE=134-89=45

Step-by-step explanation:

SINCE BAF and CAE are opposite angles they are equal so

BAF=CAD+DAE

134=89+DAE

DAE=134-89=45

The measure of angle DAE is 45 degrees.

when two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question

m∠BAF = 134 degrees

and, m∠CAD = 89 degrees

Since, ∠CAE and ∠BAF are vertically opposite angles.

Therefore, m∠CAE = m∠BAF = 134 degrees

Now,

m∠CAE = m∠CAD + m∠DAE

⇒ m∠BAF = 89 + m∠DAE

⇒ 134 = 89 + m∠DAE

⇒ m∠DAE = 134 - 89

⇒ m∠DAE = 45 degrees

Hence, the measure of angle DAE is 45 degrees.

Learn more about the vertically opposite angles here:

https://brainly.com/question/18045519

#SPJ2

Answer:

Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc. Arc Length: In a circle, the length of an arc is a portion of the circumference. The letter "s" is used to represent arc length.

Step-by-step explanation:

Answer:

the answer is NO! The cost of parking is not proportional.

Step-by-step explanation:

heres why! the points lie on the same line. thus there is no change in the values, so the cost stays the same!

Answer:

.05%

Step-by-step explanation:

Answer:.05

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

divide 24 by 6 and you get 4!

                or

6 12 18 24

1   2   3   4

Answer:

See Below:

Step-by-step explanation:

40,000*8/25= the diameter, because the diameter is 8/25 of the equator which is 40000

Diameter= 40,000*8/25

Diameter= 12,800 km

Answer:

12,800 km

Step-by-step explanation:

Since the length of the Earth's equator is 40,000 km and the diameter is 8/25 the length of the equator, indicates that you would multiply 40,000 by 8/25, which gives you a product of 12,800, or, the diameter of the Earth which is 12,800 km.

Answer:

1/10

Step-by-step explanation:

1/5÷2/1=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

1/5×1/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1 /5×2=1/10

This fraction cannot be reduced.

Therefore:

1/5×1/2=1/10

Answer:

Step-by-step explanation:

yes,4

Step-by-step explanation:

3x+4=y why is it no? Because if it has addition or subtraction in the equation then it does not have a constant of proportionality. If it is multiplication or division then it has a constant of proportionality.

Answer:

36 m

Step-by-step explanation:

15 + 15 + 3 + 3 = 36

Perimeter is the total length of the outside of the figure.

Answer: 36

Step-by-step explanation:

15+15+3+3=36

Answer:

no idea

Step-by-step explanation:

Answer:

p(4)=# of 4's/# of sides p(b)= # of B's\# of sections

Answer:7.5 cups of yogurt to make 5 bowls of fruit dip.

Step-by-step explanation:

Answer:

Themba needs a total of_7.5___

cups of yogurt to make 5 bowls of fruit dip, so _0.75__

cup(s) will be__needed__​

Step-by-step explanation:

Answer:

my answer is

5x^4-2

and i am not sure of the answer

here hope this helps :)

Answer:

[tex]y=2x^2+12x+14[/tex]

Step-by-step explanation:

[tex]y=2(x+3)^2 -4[/tex]

[tex]y=2(x^2+6x+9) -4[/tex]

[tex]y=2x^2+12x+18-4[/tex]

[tex]y=2x^2+12x+14[/tex]

Answer:

The equation for area of a triangle is height multiplied by the base length, divided by 2. So, if the height is 2, and the base is 4, then you multiply the two together, making 8, and then divide it by 2, making the final area 4. So if the dimensions are doubled, then the equation would be 4 times 8 divided by 2. Which is 16. If we do this again with 16 times 8, we will get 128, which when divided by two is 64. This is 4 times 16, just as 16 is 4 times the original answer 4. This means that every time you double the dimensions you will get the original answer multiplied by 4.

Step-by-step explanation:

Answer:

C

There you go

The volume of the spherical shaped jumbo cake pop is: 113.1 cm³

Volume of sphere = 4/3 πr³, where r is half of the diameter of the sphere.

Given the following:

Diameter of the spherical ball of cake = 6 cm

Radius (r) = 1/2(6) = 3 cm.

Volume of spherical shaped cake = 4/3 π(3³)

Volume of spherical shaped cake = 113.1 cm³

Learn more about volume of sphere on:

https://brainly.com/question/22807400

Answer:

142 sq cm

Step-by-step explanation:

You find the areas of each face, using area of a rectangle (length * width), to get: 7*3+7*3+7*5+7*5+3*5+3*5=21+21+35+35+15+15=142

Answer:

142 sq cm

Step-by-step explanation:

Answer: Option B.

Step-by-step explanation:

we have that r = 4*θ

(you writted a negative equation, but we can never have a negative radius)

We also have that:

r = √(x^2 + y^2) = 4*θ

We can use the relationship cos(x)^2 + sin(x)^2 = 1

and write X = A*cos(θ) and Y = A*sin(θ)

and now we have:

r = √( (A*cos(θ))^2 + (A*sin(θ))^2) = √(A)^2 = 4*θ

So the correct option is:

x = 4*θ*cos(θ) or -4*θ*cos(θ)

y = 4*θ*sin(θ) or  -4*θ*cos(θ)

(We can have the positive or negative options because we are squaring the term, so the sign does not matter)

The correct option then is B

Answer:

C) x = -4θcosθ and y = -4θsinθ

Step-by-step explanation:

Other person was wrong.

Answer:

A.

Step-by-step explanation:

idk how to explain it. all you need to do is look at the graph..... every point is (x,y). x is where it is horizontally and y is vertically

Step-by-step explanation:

To find the y-intercept, you need to set the x-value to 0.

Step 1:  Find the y-int for the first equation

[tex]y = \frac{1}{2}x[/tex]

[tex]y = \frac{1}{2}(0)[/tex]

[tex]y = 0[/tex] ← y-int for first equation

Step 2:  Find the y-int for the second equation

[tex]y = 2 - x[/tex]

[tex]y = 2 - (0)[/tex]

[tex]y = 2[/tex] ← y-int for second equation

Answer:

0.09 0.24 27% 0.34 37% 45% 75% 0.8

Answer:

0.34, 45%, , 0.8

Step-by-step explanation:

hope this helps!

~mina

Answer:

The answer is D

Step-by-step explanation:

you just need to add the minutes to 6:00 a.m. and find where they become equal and that is 8:30 a.m.

Answer:

So the Answer would be c

Step-by-step explanation:

Ok so we know that if bus A takes a 75 minute route

and bus B takes a 15 minute route.

So now we have to add the two numbers

75+15= 1 hour and 30 minutes

add that to 6:00 and you got 7:30!

Answer:

Any two points on the circumference of the circle are the same distance from the center of the circle.

Step-by-step explanation:

Any two points on the circumference of the circle are the same distance from the center of the circle.

Answer:

6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Answer:6 hours

Step-by-step explanation:

6.50 - 2.00 = 4.50

4.50 ÷ 0.75 = 6

Hoped this helped!