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denpristay [2]
3 years ago
6

A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inch

es. Which expression shows the area of the base of each pyramid?
A. 1/3x^2 in.2
B. 1/4x^2 in.2
C. x2 in.2
D. 1/2x^2 in.2
Also...
A solid right pyramid has a square base with an edge length of x cm and a heigt of y cm. Which expression represents the volume of the pyramid?
A. 1/3x2y cm3
B. 1/2xy2 cm3
C. 1/3xy cm3
D. 1/2x2y cm3
This is all the info I am given HELP
Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer: A. (1/4 x)∧2 in.∧2

Just took quiz.

mylen [45]3 years ago
7 0

Answer:

Option B ⇒ Area of base of each pyramid :

(\frac{x}{4})^2 in^2

Option A ⇒ Volume of pyramid :

\frac{1}{3} x^{2} \cdot y   cm3

Step-by-step explanation:

One side of tile consists of 4 pyramids and since length of whole tile is x,

So, the base length of each pyramid = \frac{x}{4}

⇒ Area of base of each pyramid = side²

⇒ Area =

(\frac{x}{4})^2 in^2

Volume of square based pyramid :

=(Area of base )\cdot \frac{h}{3}\\=\frac{x^2}{3} cm^3

For 1. The correct Option is B

For 2. The correct option is A

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Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don
coldgirl [10]

Answer:

P(\text{Powdered sugar donut})=\dfrac{1}{15} .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53  

Glazed donuts = 11  

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}

P(\text{Powdered sugar donut})=\dfrac{5}{75}

P(\text{Powdered sugar donut})=\dfrac{1}{15}

Therefore, P(\text{Powdered sugar donut})=\dfrac{1}{15}.

3 0
3 years ago
Nikes cost $75.<br> They were reduced to $60. What is the percent of change?
Mamont248 [21]

Answer:

15%

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hope this helps

8 0
3 years ago
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1
Anna11 [10]

Answer:

7.5 ft³/min

Step-by-step explanation:

Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.

Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²

So, V = Ah = 2h = 2(10 - x)

The rate of change of volume is thus

dV/dt = d[2(10 - x)]/dt = -2dx/dt

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Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt

= -dx/dt

= -(-7.5 ft³/min)

= 7.5 ft³/min

And the height at this point when x = 8 inches = 8 in × 1 ft/12 in  = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft

7 0
2 years ago
One day is about 0.00274 years. How is this expressed in scientific notation?
Verdich [7]

Answer: C

Step-by-step explanation:

3 0
3 years ago
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olga2289 [7]
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