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Ket [755]
2 years ago
10

Work out the size of angle x.

Mathematics
1 answer:
Lena [83]2 years ago
7 0

Answer:

65°

Step-by-step explanation:

x=180°-40°-75°

x=65°

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SEE IMAGE PLEASE !!!
inysia [295]
Center of rhombus bisects 90°.

Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°


4 0
2 years ago
Read 2 more answers
A water sprinkler sprays water over a distance of 36 feet while rotating through an angle of 140 degrees. What area of lawn rece
aniked [119]

Answer: 1,583.36\ ft^2

Step-by-step explanation:

The formula for calculate the area of a Sector of a circle is:

A=\pi r^2(\frac{C}{360})

Where "C" is the central angle in degrees and "r" is the radius.

Based on the data given in the exercise, you can identify that:

r=36\ ft\\C=140\°

(See the figure attached)

Then, you can substitute these values into the formula and then evaluate, in order to calculate the area of lawn that receives​ water.

The result is:

A=\pi r^2(\frac{C}{360})\\\\A=\pi (36\ ft)^2(\frac{140\°}{360})\\\\A=1,583.36\ ft^2

4 0
3 years ago
Find the area and perimeter​
andrew-mc [135]
The perimeter is 24 but I’m not sure about the area
8 0
2 years ago
The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 48 and the common rati
Aleks [24]

Answer:

The sigma notation would look like this:

∞

Σ       48(1/4)^i-1

i = 1

Step-by-step explanation:

I can't seem to find a good way to make it more connected so I'll just have to tell you. The ∞ is above the ∑, while the i = 1 is under it. That is all one thing. The rest is followed as normal, and it is all next to the ∑

7 0
4 years ago
Read 2 more answers
find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-1/2x-4
maw [93]

Answer:

y = 2x - 3

Step-by-step explanation:

The negative recipricol is -1/(-1/2) = 2

Use point-slope equation:

y-y1 = m(x-x1)

x1 = 3, y1=3

y-3 = 2(x-3)

y-3 = 2x-6

<u>y = 2x-3</u>

8 0
3 years ago
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