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3 years ago

Which solid has congruent horizontal and vertical cross sections?

Mathematics

1 answer:

Zinaida [17]3 years ago

3 0

Answer:

triangular prism (pyramid) and cylinder.

Step-by-step explanation:

A pyramid is a polyhedron with one base that is a polygon and faces that are triangles.

A cylinder is a three-dimensional figure with congruent, parallel bases that are circles connected with a curved side.

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What is the measure of m?<br> 5<br> 15<br> E<br> n<br> m = [?]

AlekseyPX

<h3>Answer: 10</h3>

====================================================

Explanation:

The two smaller triangles are proportional, which lets us set up this equation

5/n = n/15

Cross multiplying leads to

5*15 = n*n

n^2 = 75

----------

Apply the pythagorean theorem on the smaller triangle on top, or on the right.

a^2+b^2 = c^2

5^2+n^2 = m^2

25+75 = m^2

100 = m^2

m^2 = 100

m = sqrt(100)

m = 10

7 0

3 years ago

The adult admission price to the amusement park increased from $35 last year to $42 this year.what is the rate of inflation?

Mrrafil [7]

Answer:7

Step-by-step explanation:

42-35=7

6 0

3 years ago

If 2^(x+3) - 2x = k(2^x) what is the value of k

svlad2 [7]

Answer:

$\large\boxed{C)\ 7}$

Step-by-step explanation:

Use:

$a^n\cdot a^m=a^{n+m}$

$2^{x+3}-2^x=2^x\cdot2^3-2^x=8\cdot2^x-2^x=(8-1)\cdot2^x=7\cdot2^x\\\\2^{x+3}-2^x=k(2^x)\\\\7\cdot2^x=k(2^x)\Rightarrow k=7$

$8\cdot2^x-2^x=8\cdot2^x-1\cdot2^x=(8-1)(2^x)=7\cdot2^x\\\\\text{distributive property:}\ a(b-c)=ab-ac$

8 0

3 years ago

Candy selling at six dollars per pound will be mixed with candy selling at nine dollars per pound how many pounds of more expens

podryga [215]

The 15 lbs at $7=$105

So multiple 5x9 as a test and check results. 105-45=60

Here you can see that 60 is a factor of 6 by 10 so you got lucky and got the answer of 10lbs at $6 & 5lbs at $9=15 lbs at $7 average

3 0

3 years ago

Light shines through window what is the area of a trapezoid shaped region created by the light

bogdanovich [222]

Answer:

16 ft²

Step-by-step explanation:

The complete question is attached.

A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.

The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.

Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:

The area of a trapezoid = [(3 + 5)/2] * 4

The area of a trapezoid = 16 ft²

5 0

3 years ago