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myrzilka [38]
3 years ago
15

Please help me with this thanks

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Step-by-step explanation:

B = area of the base

= 9×4 = 36 square inches

P= perimeter of the base

= 2(9+4)

=2×13= 26 inches

H =distance between the bases

= 16 inches

SA= 2B+PH

= 2(36)+ 26× 16

= 72+416 = 488 square inches

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

  • brainly.com/question/9532142
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8 0
3 years ago
FIND THE GCF. Mathematics
Rom4ik [11]

The G.C.F of the given algebraic expression is; ⁴⁹/₆a xy

<h3>What is the G.C.F (Greatest Common Factor)?</h3>

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

We are given the algebraic expression;

(3 x y * 4x²y * ¹/₁ * 5x³y ^ z * 4)7a * 1/1 * 7*6

Expanding this further gives;

⁴⁹/₆a((3xy * 4x²y * 20x³y ^ z )

Now, the GCF of the terms inside the bracket would be x y. Thus, expanding the GCF  we have;

⁴⁹/₆a xy((3 * 4x * 20x²y^(z - 1))

Read more about G.C.F at; brainly.com/question/219464

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5 0
1 year ago
PLEASE HELP!!! <br> show work if possible!:)
satela [25.4K]

Answer:

The answer to your question is y = 2x + 11

Step-by-step explanation:

Data

Original line   y = -(1/2)x + 5

Point (-4, 3)

Process

1.- Get the slope of the new line

- Slope of the original line = -1/2

  If the lines are perpendicular, the slopes must be reciprocal

                       -1/2  reciprocal = 2

2.- Get the equation of the new line

          y - y1 = m(x - x1)

          y - 3 = 2(x + 4)

- Simplification

         y - 3 = 2x + 8

- Solve for y

        y = 2x + 8 + 3

        y = 2x + 11

7 0
3 years ago
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Han has 4 dimes. What percent of a dollar does Han have?
Mama L [17]

Answer:

40%

Step-by-step explanation:

4 dimes = 40 cents

1 dollar = 100 cents

40\frac{40}{100} = 40%

7 0
3 years ago
Chris is reading a book that has nine-hundred seventy-eight pages in it. Every night
GaryK [48]

9514 1404 393

Answer:

  Every night

Step-by-step explanation:

The problem statement tells you ...

  "Every night Chris reads a number of pages that can be rounded to the nearest hundred."

Then it asks you ...

  "On what nights does Chris read a number of pages that can be rounded to the nearest hundred?"

If we take the problem statement at face value, the answer must be ...

  "Every night."

7 0
2 years ago
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