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Pepsi [2]
2 years ago
12

The shown bellow question answer

Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.

The area of the rectangle can be found by 11*4=44

The area of a semi-circle can be found with the formula \frac{1}{2} \pi r^2 where r is the radius.

Since we know the diameter of the semi-circle is 4,

the radius will be 4 ÷ 2 = 2.

Therefore, the area of the semi-circle is \frac{1}{2}\pi 2^2=\frac{1}{2}\pi*4=2\pi

Therefore, the area of the shape is 44+2\pi or 50.283cm^2 (3 decimal places)

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What is the common point between lines y = ½ x + 4 and y = x – 4?
nirvana33 [79]
1/2X+4=X-4
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3 years ago
A ramp is 35 ft long rises to a platform. The bottom is 15 ft from the foot of the ramp. Find x, the angle of elevation of the r
sineoko [7]

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

4 0
3 years ago
Equation with angle addition can someone please answer please help
marishachu [46]

Answer:

57°

Step-by-step explanation:

We can see that LOM is MON + LON so we can set up an equation to find the value of x then substitute that back into MON to find the value of that angle.

→ In equations its important to keep both sides equal and do operations to both sides and not one because then if you do an operation to only one side then you have changed the equation so it's important to do operations on both sides and that's an important rule to bare in mind.

2x + 33 + 3x + 20 = 113

→ Simplify

5x + 53 = 113

→ Minus 53 from both sides to isolate 5x

5x = 60

→ Divide both sides by 5 to isolate x

x = 12

But we are not finished, we have only found the value of x not the value of MON as we were asked so we have to substitute x back into the expression to find the value of MON

2x + 33

→ Substitute x = 12 back into the expression

2 × 12 + 33

→ Simplify

24 + 33 = 57

The value of MON is 57°

8 0
3 years ago
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