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Reil [10]
3 years ago
6

A frog is sitting on the ground when he is scared by a big dog. His movement is

Mathematics
1 answer:
horsena [70]3 years ago
7 0
1 second is the answer
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What is the measure of angle 7?
umka2103 [35]

Answer:

<7 = 47, 2x - 5 + 47 = 180, x = 69

Step-by-step explanation:

<5 and <7 are vertical angles, which means that they have the same degree.

<7 + <6 = 180. <6 = 2x - 5. 2x - 5 + 47 = 180.

Solve

2x - 5 + 47 = 180

2x + 42 = 180

2x = 138

x = 69

6 0
2 years ago
Read 2 more answers
The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
5 The area of a rectangular lawn is 255 m². If its length is 15 m, find its perimeter.​
Marina CMI [18]
Area of a rectangular lawn = l×b

255=15×x

Hence the breadth is 17 m

Hence perimeter =2(l+b)=2(15+17)=64
3 0
3 years ago
In a math class with 23 students, a test was given the same day that an assignment
ddd [48]

Answer:

8

Step-by-step explanation:

23 students -15 students =8students

3 0
3 years ago
8.
lukranit [14]

Answer:

4

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

7 0
3 years ago
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