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Natasha_Volkova [10]
2 years ago
15

Leo is a great babysitter. He makes $8 an hour. Maureen is an even better babysitter. She makes $10 an hour. Maureen works 4 hou

rs each week. How many hours does Leo need to work in order to earn as much money as Maureen earns in a week?​
Mathematics
1 answer:
Romashka [77]2 years ago
7 0

Answer:

5 hours

Step-by-step explanation:

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What is the solution set of the equation <br> |2x-3|=11
Leokris [45]
If your trying to figure out (x) then the answer would be 7 because 7 times 2 is 14 and then 14 minus 3 would be 11
5 0
3 years ago
Mara is building a set of shelves supported by a diagonal brace, as shown in the diagram. Answer the questions to decide whether
Kazeer [188]

Answer:

Step-by-step explanation:

1). Since, m∠1 + m∠2 = 180° [Supplementary angles]

   If m∠2 = 120°

   m∠1 + 120° = 180°

   m∠1 = 180° - 120°

   m∠1 = 60°

2). If a transversal intersects two parallel lines on the top and middle,

   ∠1 and ∠5 will be corresponding angles.

3). Since, m∠1 = m∠5 = 60° (Corresponding angles)

   Therefore, both the lines on top and middle will be parallel.

4). Since, m∠9 + m∠11 = 180° [Supplementary angles]

   If m∠11 = 120°

   m∠9 + 120° = 180°

   m∠9 = 60°

   Since, m∠1 = m∠9 = 60° [Corresponding angles]

   Therefore, both the lines on the top and bottom shelves will be parallel.

5). Since, m∠5 = m∠9 = 60° [Corresponding angles]

    Therefore, middle and bottom shelves will be parallel.

4 0
3 years ago
A square has an area of 100 in ^2. What is the perimeter of the square
almond37 [142]
Area of a square is its side length squared...

A=s^2  solving for s...

s=√A

The perimeter of a square is 4 times its side length...

P=4s, and since s=√A

P=4√A, and we are told that A=100 in^2 so

P=4√100

P=4*10

P=40 in
6 0
3 years ago
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
RSB [31]

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

3 0
3 years ago
Sam used wire fencing to form a border around a circular region in his back yard. If the diameter of the circular region was 16
Dennis_Churaev [7]

The total length of the border = 50.2 yards

Step-by-step explanation:

Step 1 :

Given,

Diameter of the circular region = 16 yards

We need to compute the total length of the border.

Step 2 :

The total length of the border can be obtained by computing  circumference of the region with the given diameter

Circumference = 2(pi)(r)

where r is the radius

here diameter = 16, so radius = 8 yards

Hence circumference  = 2 (3.14) 8 = 50.24 yards

Step 3 :    

Answer :

The total length of given border = 50.2 yards (rounded off to nearest 10th)  

5 0
3 years ago
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