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2 years ago

Ryan and Scott are each studying a square pyramid.

Mathematics

2 answers:

PIT_PIT [208]2 years ago

6 0

Answer:

Step-by-step explanation:

dolphi86 [110]2 years ago

3 0

Surface Area = [Base Area] + 12 × Perimeter × [Slant Length]

Ryan square pyramid
[Base Area]=10*10=100 feet²
Perimeter=10+10+10+10=40 feet
[Slant Length]=12 feet
Surface Area=100+12*40*12=5860 feet²
Scott square pyramid
[Base Area]=12*12=144 feet²
Perimeter=12+12+12+12=48 feet
[Slant Length]=10 feet
Surface Area=144+12*48*10=5904 feet²

the answer is D.Scott’s pyramid has a greater surface area.

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Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan

rodikova [14]

The given pyramid's total surface area is 3. 24.0 square feet.

Step-by-step explanation:

Step 1:

To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.

There are 3 triangles and 1 square in the figure.

Step 2:

All the triangles are similar.

The surface area of a triangle = $\frac{1}{2} (baselength)(height).$

The similar triangles have a base length of 3 feet and a height of 2.5 feet.

The surface area of 1 similar triangle = $\frac{1}{2} (3)(2.5)= 3.75$ square feet.

The surface area for all the similar triangles = $3.75 (4) = 15$ square feet.

Step 3:

The surface area of a square is the square of its side length. The square has a side length of 3 feet.

The surface area of the square = $a^{2} = 3^{2} =9$ square feet.

Step 4:

To calculate the total surface area we sum up all the individual surface area.

The total surface area = $15 + 9 = 24$ square feet which is the third option.

3 0

2 years ago

If A=P+I make the subject as P

notka56 [123]

Answer:

$P = A - I$

Step-by-step explanation:

A = P + I (Given)

$\implies P = A - I$

4 0

2 years ago

The amount of carbon-14 present in a paint after t years is given by y equals y Subscript o Baseline e Superscript negative 0.0

Anni [7]

Answer:

16,383.33 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of carbon-14 after t years,

$y = y_0 e^{-0.00012t}$

Where,

$y_0$ = initial amount,

∵ 14% of $y_0$ = $\frac{14}{100}y_0$ = $\frac{7}{50}y_0$

$\frac{7}{50}y_0= y_0 e^{-0.00012t}$

$\frac{7}{50}=e^{-0.00012t}$

Taking ln both sides,

$\ln(\frac{7}{50})=-0.00012t$

$-1.966=-0.00012t$

$\implies t =\frac{-1.966}{-0.00012}=16383.33$

Hence, the painting would be 16383.33 years old ( approx )

5 0

2 years ago

A train traveled 1/5 of the distance between two cities in 3/4 hour. At this rate, how many hours will it take the train to trav

Dahasolnce [82]

1/5 is equal to the 20% of the trip and that took 45 minutes.
45minutes/20% of traveled distance = X minutes/ 100% travel distance
2.25 * 100= X
225= X
So if for the 1/5 or 20% of the trip lasted 3/4hour or 45 minutes. To complete the trop you need 225 minutes or 3 hours and 45 minutes or 3 3/4 hours.

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2 years ago

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Are any of the wave heights considered an outliner

Fiesta28 [93]

Yes, the 10 foot wave is the outlier.

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2 years ago