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BigorU [14]
3 years ago
6

On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from

the same corner post on the nearest adjacent side of the field. What is the distance from Sang to Jazmin?
A.119 yards
B.101 yards
C.10,201 yards
D.1,980 yards
Mathematics
1 answer:
nordsb [41]3 years ago
4 0
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
               
                    99ft
      A  -------------------------  B
         |                              |
20 ft  |                              |
         |                              |
    C   --------------------------  D

The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.

A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2

Now you solve for the square root of 10,201 to get C.

sqr (10,201) = C
C = 101 yards

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Answer:

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Step-by-step explanation:

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(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

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(y+7)/-2 = (x-1)/-7

(-y-7)/2 = (-x+1)/7

-y-7 = -2/7 x + 2/7

-y = -2/7x +2/7 + 7

y = 2/7 x - 2/7 - 7

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3 years ago
Sharma is building a shed and wants to determine the measurements for the roof. The span of the roof will be 10 feet and she pla
Stolb23 [73]

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet

By pythagoras theorem,

c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet

Now to find angles,

a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}



5 0
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Log2 (M) + log3 (N)<br> how do you solve??
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Answer:

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simplified step by step

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Change the fraction into an equivalent fraction with the denominator w2 + w – 20.
ZanzabumX [31]
Answer:
\frac{(w-3)(w-4)}{(w+5)(w-4)}

If we want to expand the brackets, the fraction would be:
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Explanation:
First, we can note that:
w² + w - 20 can be factorized as follows:
w² + w - 20 = (w+5)(w-4)

The given expression already has a (w+5) in the denominator, therefore, all we need to do is multiply the denominator by (w-4)

Since we want the new fraction to be equivalent to the original one, therefore, as we multiply the denominator by (w-4), we will also multiply the numerator by (w-4) to ensure that the value of the fraction is unchanged.

Based on the above, the new fraction would be:
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If we want to expand the brackets, the fraction would be:
\frac{w^2 - 7w + 12}{w^2 + w - 20}

Hope this helps :)
5 0
3 years ago
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