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Andre45 [30]
3 years ago
15

Question 1 (1 point) What is the volume of the square-based pyramid shown below? 12 in. A. 96 cu in. B. 384 cu in. C. 256 cu in.

D. 768 cu in.​

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0
<h3>Answer:</h3><h2>C)256 cu in</h2><h3>Step-by-step explanation:</h3>

Area of square pyramid:

⅓×[base area]×height

according to the question

⅓×[8×8]×12

simplify parentheses:

⅓×64×12

Simplify fraction

64×4

Simplify multiplication

256

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A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.
finlep [7]

Answer:

Part a) The elevation of the road is 6\°

Part b) The rise is 0.2\ km

Step-by-step explanation:

Part a) What is the elevation of the road to the nearest degree?

Let

y-----> the rise of the road ( vertical distance)

x ----> the run of the road (horizontal distance)

we have

y/x=1/10

we know that

The ratio y/x is equal to the tangent of the angle of the elevation of the road

Let

\theta ---->  angle of the elevation of the road

tan(\theta)=y/x

tan(\theta)=1/10

\theta=arctan(1/10)=6\°

Part b)  If the road is two km long, how much does it rise?

using proportion

1/10=y/2

y=2/10=0.2\ km

3 0
3 years ago
Nine less than one forth of a number is 6
snow_lady [41]

Answer:

x = 60

Step-by-step explanation:

<u>Step 1:  Convert into an equation</u>

Nine less than one forth of a number is 6

1/4x - 9 = 6

<u>Step 2:  Add 9 to both sides</u>

1/4x - 9 = 6

1/4x - 9 + 9= 6+ 9

1/4x = 15

<u>Step 3:  Multiply both sides by 4</u>

1/4x * 4 = 15 * 4

x = 60

Answer:  x = 60

6 0
2 years ago
1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides
salantis [7]

The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

Learn more about area bounded by curve:
brainly.com/question/27866606
#SPJ1

3 0
2 years ago
Which feature distinguishes mathematics from the other science ? Justify your answer.
andreyandreev [35.5K]
The main difference between mathematics and other sciences is that mathematics deals with rational models, in which they apply logical implications in axioms they assume. On the other hand, science uses these axioms and models to describe a certain natural phenomenon.
4 0
3 years ago
Determine the value of x that makes each equation true.
Agata [3.3K]
Your answer is B. Hoped this helped.
4 0
3 years ago
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