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SIZIF [17.4K]
2 years ago
8

One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths

of the sides of the kite
Mathematics
1 answer:
Yuliya22 [10]2 years ago
3 0

Answer:

9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

2x+2(4x-8)=78, where x is the length of the shorter sides.

Solving, we get:

2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}.

Plugging in x=9.4 into 4x-8, we get:

4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}.

Therefore, two sides have length 9.4\:\mathrm{cm} and two sides have length 29.6\:\mathrm{cm}.

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dlinn [17]

Answer:  4.2 units is equal to 26.376 circumference,  7.4 units is equal to 23.236, 11 units is equal to 34.54 and finally 9.5 units is equal to 59.66

Step-by-step explanation:

7 0
2 years ago
Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight
jasenka [17]

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.

It means they are travelling at a constant rate.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is

m=\frac{38-34}{3-1}=2

It means the Brian's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is

m=\frac{31-27}{3-1}=2

It means the Kelsey's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is

m=\frac{33-27}{3-1}=3

It means the Geoff's car traveled at the rate of 3 cm per sec.

Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.

7 0
2 years ago
Read 2 more answers
Use a graphing calculator to sketch the graph of the quadratic equation and then give the coordinates for the x-intercepts (if t
Nataly [62]

Answer:

Option D.

Step-by-step explanation:

The given quadratic equation is

y=x^2+7x+10

We need to draw the graph of given equation by using graphing calculator as shown below.

From the graph it is clear that the parabola intersect the x-axis at points (-2,0) and (-5,0). So, the x-intercepts are (-2,0) and (-5,0).

Therefore, the correct option is D.

3 0
3 years ago
Caculate the slope between the points <br> (9, 12) and (4, 17)
Scilla [17]
To calculate the slope you need to do (y2-y1)/(x2-x1). So you would get:
(17-12)/(4-9)
5/-5
=-1
Hope this helps.
3 0
3 years ago
Look at the image for the question and answers​
Karo-lina-s [1.5K]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
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