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Doss [256]
4 years ago
6

Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete

reached a distance of 24.25 feet. The first athlete jumped feet farther than the second athlete.
Mathematics
2 answers:
Elena-2011 [213]4 years ago
4 0
4.40 feet farther than the second athlete
Leona [35]4 years ago
3 0
4.40 feet farther than the second athlete
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Write the following equation, then solve. The difference of four times a number, x and 12 is 28
Alona [7]

Answer:

4x - 12 = 28

To isolate 4x, we add 12 to both sides:

4x - 12 + 12 = 28 + 12

so

4x = 40

Now we divide 4 from both sides:

x = 40 / 4

so x = 10

5 0
4 years ago
Read 2 more answers
With the ratio at 1:1, Point C appears to be the midpoint. Use the midpoint formula to ascertain (make sure of) whether Point C
Mila [183]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete because the coordinates of A, B and C were not given in the question.

However, the following explanation will guide you...

The midpoints, C of two point A and B is calculated as:

C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})

Where (x_1, y_1) are the coordinates of A

and

(x_2,y_2) are the coordinates of B

Take for instance, the given coordinates are

A(4,6); B(2,4) and C(3,5)

Then;

Plug in these values in the given formula:

C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})

(3,5) = (\frac{4 + 2}{2}, \frac{6 + 4}{2})

(3,5) = (\frac{6}{2}, \frac{10}{2})

(3,5) = (3,5)

In that case,

C is really the midpoint

To the b part: <em>Explaining why ratio 1:1 is used</em>

The reason is that both parts of the ratio are in equal proportion (1 and 1);

Because of this equal proportion, ration 1:1 is right to calculate the midpoint

4 0
3 years ago
Tina is making rectangular signs. Each poster has an area of 1800 square inches and the length is 30 inches more than the width.
Fittoniya [83]
Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.

30x +  x^{2} =1800 \\  x^{2} +30x-1800=0  \\  x^{2} -30x+60x-1800=0 \\ ( x^{2} -30x)+(60x-1800)=0 \\ x(x-30)+60(x-30)=0 \\ (x+60)(x-30)=0
x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.
4 0
3 years ago
What is the value of the 3 in each of these numbers?
VARVARA [1.3K]

Answer is this this is the correct answer

5 0
3 years ago
FInd exact value of: csc (37) sec(53) - tan (53) cot (37)
nekit [7.7K]
Csc (37) sec (53) - tan (53) cot (37)
1/sin (37) * 1/cos (53) - sin (53) / cos (53) * cos (37) / sin (37) = (1 - sin (53) cos (37)) / cos (53) sin (37) = (1 - sin (53) sin (90 - 37)) / cos (53) cos (90 - 37) = (1 - sin^2 (53)) / cos^2 (53) = cos^2 (53) / cos^2 (53) = 1.
7 0
4 years ago
Read 2 more answers
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