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Snowcat [4.5K]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer: x = 9, y = 5

Step-by-step explanation:

If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.

set the equation equal to 60 to solve for x

7x - 3 = 60

add three to both sides

7x = 63

divide both sides by 7

x = 9

find y by setting the equation equal to 60

11y + 5 = 60

subtract 5 from each side

11y = 55

divide both sides by 11

y = 5

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Calculate how long it would take an investment to triple if the interest rate is 10% compounded annually
nekit [7.7K]
3=(1.10)^t
Log(3)=t*log(1.10)
t=log(3)÷log(1.10)
t=11.5 years
5 0
3 years ago
in a video game an object represented by the point is rotated counterclockwise 350 degrees about an origin. what are the new coo
agasfer [191]

If the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).

Given that the point is (3,2) and the point is rotated counterclockwise 350 degrees about an origin.

We are required to find the new coordinates.

Origin is a point where both the values of x and y are equal to zero.

a=arc tan (2/3)=33.7

r=\sqrt{3^{2} +2^{2} }

=\sqrt{13}

b=a+350

=33.7+350

=383.7 degrees

x=r cos b=\sqrt{13} cos 383.7=\sqrt{13}*0.91=3.28

y=r sin b=\sqrt{13} sin 383.7=\sqrt{13}80.40=1.44

Hence if the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).

Learn more about coordinates at brainly.com/question/17206319

#SPJ4

8 0
2 years ago
Each side of the square below is 8 inches. A triangle inside of a square. The top of the triangle divides a side of the square i
dmitriy555 [2]

The probability that a point is chosen at random in the square is in the blue region is 0.8.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,

\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)

                                  = (32) + (16)\\\\= 48\rm\ in^2

The area of the square can be written as,

\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2

Now, the probability that a point is chosen at random in the square is in the blue region can be written as,

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\

\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8

Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.

Learn more about Probability:

brainly.com/question/795909

8 0
2 years ago
What is the total surface area of the rectangular pyramid whose net is shown?
Lunna [17]

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

7 0
3 years ago
Rasheed has a scale drawing of his house in which 1 inch on the drawing represents 4 feet in the house. In the drawing, the fron
Alex Ar [27]

Answer:5

Step-by-step explanation:

5 0
3 years ago
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