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kifflom [539]
2 years ago
14

If 108 is added to a number, it will be 5 times as large as it was originally. Find the number.

Mathematics
1 answer:
schepotkina [342]2 years ago
8 0

Answer:

27

Step-by-step explanation:

let th original number=x

x+108=5x

5x-x=108

4x=108

x=108/4=27

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1 inch = 2.54 centimeters The radius of the hexagon is 30 cm What is the approximate area to be covered by the window in square
lora16 [44]

Answer:

  2.5 square feet

Step-by-step explanation:

The area (A) of a regular hexagon in terms of its side length (s) is ...

  A = (3/2)(√3)s²

The side length in feet is ...

  (30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft

Then the area in square feet is ...

  A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²

The approximate area of the hexagon is 2.5 square feet.

_____

<em>Comment on the question</em>

There is nothing in this problem statement that relates the hexagon to the window area.

5 0
3 years ago
Find the perimeter of the polygon if angle B is congruent to angle D.
UkoKoshka [18]

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

8 0
2 years ago
A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed tha
Genrish500 [490]

Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

The null hypothesis is:

H_o : p = 10

The alternative hypothesis is:

H_1 : p > 10

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

i.e Decision Rule: fails to reject the null hypothesis

Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

8 0
3 years ago
Select from the drop - down menus to correctly complete each statement
Stels [109]

In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.

In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.

As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.

See the diagram below.

Side note: the box on the left is also considered the antecedent because it comes before the conclusion.

5 0
2 years ago
-18,-13,-8,-3,....<br><br> Find the above sequential formula
zhuklara [117]

The first term (a) is - 18

You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.

Formula

d = t4- t3

Givens

t4 = - 3

t3 = - 8

Solution 1

d = t4 - t3             Substitute

d = -3 -  ( - 8)        Remove the brackets

d = -3 + 8             Combine  

d = 5                    Difference

Remark

Find the general formula

tn = - a + (n - 1)d      Substitute

So term 20 =           Example    

t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets

t20 = - 18 + 19*5          Combine 19 and 5          

t20 = -18 + 95              "Subtract"

t20 = 77                        Answer

5 0
3 years ago
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