What is the measure of B, in degrees?

Answer:

  67.0 cm³

Step-by-step explanation:

The composite shape is a hemisphere of radius 2 atop a cylinder of height 4 and radius 2. The volume formulas for a cylinder and a sphere can be used to find its volume. (Dimensions are in centimeters.)

The formula for the volume of a hemisphere is half that for the volume of a sphere:

  V = (1/2)(4/3πr³) = 2/3πr³

For a radius of 2 cm, the volume is ...

  V = 2/3π(2 cm)³ = 16/3π cm³

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . . for radius r, height h

For the given dimensions, the volume is ...

  V = π(2 cm)²(4 cm) = 16π cm³

The total volume of the solid is the sum of these volumes:

  total = hemisphere volume + cylinder volume

  total = ((16/3)π +16π ) cm³ = (64/3)π cm³ ≈ 67.0 cm³

The volume of the composite solid is about 67.0 cm³.

Answer:

No

Step-by-step explanation:

In a triangle sum of any two sides is always grater than the third side.

Here,

[tex]1 + 1 = 2 \ngtr 15 [/tex]

Hence, 1, 15, 1 can't be the sides of a triangle.

Hope this will help u..:)

Answer:

exponents

Step-by-step explanation:

Answer: the first one

Step-by-step explanation: 29/90 as in fraction

Answer:

Step-by-step explanation:

Rounding to nearest tenth:

i) if number in 100th place is 5,6,7,8 or 9, then add 1 to number in the tenth place and after adding remove all the digits right to it.

EG: 4.567  = 4.6

ii) if number in 100th place is 0,1,2,3 or 4, then write down number in the tenth place as it is and then remove all the digits right to it.

Eg: 4.523 = 4.5

a) 0.32 = 0.3  (b) 3.87 = 3.9   (c)0.709 = 0.7

d) 12.75 = 12.8  (d)12.745 = 12.8   e) 645.059 = 645.1

Answer:

V = 280000 cubic meters

Step-by-step explanation: Given that the volume of the scale model was 35 cubic feet. The ratio of the dimensions of the model to the

dimensions of the store was 1:20. 

Let the volume of the actual department store that Paula planned to build be V. Then

35/V = (1/20)^3

35/V = 1/8000

Cross multiply

V = 8000 × 35

V = 280000 cubic meters

Answer: The volume of the actual department store is 280,000 cubic feet

Step-by-step explanation: The question has provided the volume of the model built by Paula, and that is 35 cubic feet. The volume of a three sided solid is given as;

Volume = L x W x H

This can also be conveniently expressed as;

Volume = L³ (which implies that the solid has all sides measuring the same for simplicity's sake)

However, given that the ratio of the model to that of the actual store is 1:20, we simply use the given ratio to substitute for the value of the side of the actual store, hence we now have dimension as;

Volume = L³

35 = L³

Add the cube root to both sides of the equation

∛35 = L

The dimension of the actual store which is an enlargement by a ratio of 1:20 now becomes;

Actual store = 20 x L

Actual store = 20 x ∛35

Actual store = 20 x 3.27106631018859

Actual store = 65.42132620377179

Therefore the volume of the actual store is given as;

Volume = L³

Volume = 65.42132620377179³

Volume = 280000

Therefore the volume of the actual store is 280,000 cubic feet

Answer:

Step-by-step explanation:

ΔABC ≅ΔFDE. So corresponding side and angles are equal.

∠ACB = ∠FED

∠ACB = 34.7

Step-by-step explanation:

15.3 ft is right..................

Answer:

15.5 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: k = 6

Step-by-step explanation: 24/4=6

Answer:

1/8

Step-by-step explanation:

There are 8 slots and only one of them is pink and even

Answer:

1/8

Step-by-step explanation:

theres only one pink nd even one.all the others r different colors and/or odd

Answer:

Its 52.5

Step-by-step explanation:

Change the percent into a decimal like this: 35%=0.35 and multiply 0.35 by 150 to get 52.5. Hope this helps!

Answer:

3.14 x 16 = 50,24unit

Step-by-step explanation:

The circumference = π x the diameter of the circle (Pi multiplied by d.

Simply divide the circumference by the π, then you will have the diameter of the circle.

Answer:It makes 126 copies.

Step-by-step explanation:

Answer:

2/9=.222

3/5=.6

5/7=.714

Step-by-step explanation:

Here is what I got. I used the website called desmos. I hope this helped,.,

Answer:

22.22% i think

Step-by-step explanation:

Answer:

The coupon was 20% off

Step-by-step explanation:

answer:

the answer would be x-6/3, yes

The inverse of the function f(x) = 3x + 6 is f^-1(x) = (x - 6) / 3. This inverse is also a function, as it satisfies the vertical line test.

The inverse of a function f(x) is typically denoted as f-1(x). To find the inverse of the function f(x) = 3x + 6, you follow two main steps: firstly, replace f(x) with y, yielding y = 3x + 6; secondly, swap x and y to get x = 3y + 6 and solve for y to get the inverse function.

Getting the inverse starts by subtracting 6 from both sides of the equation, which gives x - 6 = 3y.

Dividing through by 3 gives (x - 6) / 3 = y, or equivalently, y = (x - 6) / 3. So, the inverse of the function is f-1(x) = (x - 6) / 3.

This inverse is indeed a function as it passes the vertical line test. That is, any vertical line drawn through the graph of this function will touch the graph at no more than one point, showing that for every input x, there is exactly one output y.

https://brainly.com/question/35491336

#SPJ3

The solution of equation is [tex]x=2.75[/tex] , which is shown in the graph.

The given equation is,

                           [tex]4x-3=8[/tex]

To solve above linear equation, shift all constant on one side and variable on other side of equation.

                      [tex]4x-3=8\\\\4x=8+3\\\\4x=11\\\\x=11/4=2.75[/tex]

Here graph is attached below which shows the solution of above equation.

Learn more about the linear equation here:

https://brainly.com/question/14323743

Answer:

9/33

Step-by-step explanation:

Answer:

9/33

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

3(3y-4)=33

9y-12=33

9y=45

y=5

Answer:

y = 5

Step-by-step explanation:

First you need to distribute.

3(3y - 4) = 33

9y - 12 = 33

Then add 12 to both sides.

9y = 45

Now, divide both sides by 9.

Y = 5

Answer:

12 cm

Step-by-step explanation:

Leg of one side  = 5 cm

Hypotenuse = 13cm

According to the theorem,

   A^2 + B^2 = C^2

   5^2 + B^2 = 13^2

   25 + B^2 = 169

Subtract 25 form both sides,

    B^2 = 169 - 25

     B^2 = 144

     B = sqrt( 144 )

      B = 12

Done!

Answer:

314 square inches long

Answer:

[tex]a=p=\frac{1}{6}\\\\b. \ p=\frac{1}{12}\\\\c.\ 1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]

Step-by-step explanation:

a. A fair dice has 6 sides with unique identities.

-The sample space of one throw is 6 and each face has an equal chance of showing up.

-The probability of a 6 is calculated as:

[tex]p(six)=\frac{1}{6}\\\\or \ =0.1667[/tex]

Hence, the probability of a 6 is [tex]\frac{1}{6}[/tex]

b.A fair die has  6 unique faces.

-Two throws will have a sample space of 12.

-Each face has an equal probability of appearing twice.

-The probability of a 6 on both throws is:

[tex]P(six)=2\times \frac{1}{6}\\\\=\frac{1}{12}[/tex]

c. A coin has 2 sides(head, tail) and a die has 6 sides.

-The total sample space for the simultaneous throw of a coin and die is 12.

-The resultant sample space is :

[tex]1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]

Answer:

0.75

Step-by-step explanation:

A=bh/2

1x1.5=1.5

1.5/2=0.75

Answer:4+4=8

Step-by-step

Answer:

x

Step-by-step explanation:

de nada

Sin A= 1-x² is the correct answer.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here, Sin C = x/1 and therefore Hypotenuse = 1 and perpendicular =x

thus Base=1-x² by phytogaraen theorem.

Thus Sin A=1-x² /1

Hence, Sin A= 1-x² is the correct answer.

Learn more about  Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2