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polet [3.4K]
3 years ago
14

Which of the following have at least two congruent parallel bases? all that apply. A. Cylinder B. Circle C. Cone D. Cube E. None

of these F. Pyramid
Mathematics
2 answers:
Nookie1986 [14]3 years ago
7 0

Answer:

Option A. Cylinder.

Option D. Cube

Step-by-step explanation:

In this question we have to tell that which are the figures have parallel bases.

Cylinder: Cylinder has two parallel congruent circular bases at the top and at the bottom.

Circle : It's a two dimensional structure and doesn't has any top or bottom.

Cone : It has only one circular bottom.

Pyramid : Pyramids have only one base circular or rectangular.

Cube : Cube is a three dimensional figure having minimum two congruent sides parallel to each other.

Therefore Option A. Cylinder  and Option D. Cube are the answers.

abruzzese [7]3 years ago
4 0

Answer:

Cylinder.

Cube

Step-by-step explanation:

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Write 56/90 as a decimal.
gizmo_the_mogwai [7]
56/90

" / " means divide

56 divided by 90 = 0.62 with a line over the 2 because it is repeating
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182.5 + 50 = 232.5. 267.5 was spent
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A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a city 70 miles north of the t
son4ous [18]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

4 0
4 years ago
-x^2+50=25 solve the equation
Andru [333]

Answer:

Two solutions were found :

x = 5

x = -5

Step-by-step explanation:

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  25-x2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5

Check :  x2  is the square of  x1

Factorization is :       (5 + x)  •  (5 - x)

Equation at the end of step  1  :

 (x + 5) • (5 - x)  = 0

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    x+5 = 0

Subtract  5  from both sides of the equation :

                     x = -5

Solving a Single Variable Equation :

2.3      Solve  :    -x+5 = 0

Subtract  5  from both sides of the equation :

                     -x = -5

Multiply both sides of the equation by (-1) :  x = 5

Two solutions were found :

x = 5

x = -5

Processing ends successfully

plz mark me as brainliest :)

6 0
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If you invested $100 at an interest rate of 5% per year compounded quarterly, how much will the investment be worth at the end o
mojhsa [17]

Answer: the investment would be

$110.45

Step-by-step explanation:

Initial amount deposited into the account is $100 This means that the principal is

P = 100

It was compounded quarterly. This means that it was compounded 4 times in a year. So

n = 4

The rate at which the principal was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 2 years. So

t = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 100 (1+0.05/4)^4×2

A = 100 (1.0125)^8

A = $110.45

5 0
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