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MAXImum [283]
2 years ago
5

Please someone help me on these questions

Mathematics
2 answers:
NikAS [45]2 years ago
6 0

Hey there! :)

Answer:

a) 24 cm²

b) 40.04 cm²

--------------------

Use the formula A = l × w to solve for each rectangle's area:

a)

8 × 3 = 24 cm².

b)

5.2 × 7.7 = 40.04 cm²

Inessa [10]2 years ago
4 0

Answer:

a) 24

b) 40.04

Step-by-step explanation:

a) Area of a rectangle: length x width

length = 8

width = 3

Plug these values into the equation above:

8 x 3 = 24

b) Same steps as above except with different values for length and width

5.2 x 7.7 = 40.04

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Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
hammer [34]

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0
2 years ago
Write the expression as the sine, cosine, or tangent of an angle.
erma4kov [3.2K]

Answer:

tan56°

Step-by-step explanation:

The Addition identity for tangent ratio is

tan(x + y) = \frac{tanx+tany}{1-tanxtany} , thus

\frac{tan24+tan32}{1-tan24tan32} = tan(24 + 32)° = tan56°

7 0
2 years ago
The double number line shows that in 2 minutes, Pogo the dog can fetch a Frisbee 6 times.
Zolol [24]

Answer:

12 times (double the times since we are doubling the minutes)

Step-by-step explanation:

2/6 = 4/x

Use cross multiplication

2x = 6*4

2x = 24

x = 12

5 0
2 years ago
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The sunrise café gets tea bags of 1,000. If the café charges $1.75 for each cup of tea, and each cup of tea gets 1 tea bag, how
Setler [38]

Answer:

You would do $1.75 x 1,000. That would be 1$,750. Then, you would take away that $95 because they spent buying the box of tea bags, and their total would be $1,750 - $95 = $1,655.

5 0
2 years ago
The length of a rectangle is 2 inches more than the width. The perimeter is 24 inches. Find the length and width
Gnesinka [82]
X + x + x + x + 2 + 2 = 24                Length: (x + 2) = 5 + 2 = 7 inches
                      4x + 4 = 24                Width: (x) = 5 inches
                             -4    -4
                            4x = 20
                   divide by 4 on both sides
                              x = 5
5 0
3 years ago
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