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dsp73
2 years ago
7

You start driving north for 27 miles, turn right, and drive east for another 36 miles. At the end of driving, what is your strai

ght line distance from your starting point?
Mathematics
1 answer:
Gwar [14]2 years ago
4 0

Answer:

Step-by-step explanation:

If you drive straight north then turn and drive straight east, you have driven 2 sides of a right triangle.  The straight line distance from where you are to where you started from is the hypotenuse of the right triangle.  Use Pythagorean's Theorem to solve:

27^2+36^2=c^2 and

729+1296=c^2 and

2025=c^2

That means that length of the hypotenuse is 45.

45 miles is the distance.

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Write a linear equation in point slope form that passes through the point (-2,5) with a slope or 1/2
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Answer:

y-5=\frac{1}{2}(x+2)

Step-by-step explanation:

Point Slope is:

y-y_1=m(x-x_1)

We are given the point (-2, 5) and a slope of 1/2.

y-y_1=m(x-x_1)\rightarrow\boxed{y-5=\frac{1}{2}(x+2)}

Hope this helps.

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2 years ago
Solve using the division algorithm 57.27 divided by 23
GenaCL600 [577]

Answer:

2.49

Step-by-step explanation:

57.27 / 23 = 2.49

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3 years ago
6 more than 4 times a number is 68. What is the number?
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15.5

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Given: Circle k(O), diameter US , m RU=50°, m UT=30° Find: m∠RUS, m∠UST
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7 0
2 years ago
Ayana is making six scarves That each require 1 1/4 yards of purple fabric and a certain amount of blue fabric. She will use 10
rodikova [14]

A simple algebraic equation can be utilized to solve this question. Ayana needs \frac{5}{12} yards of blue fabric for each scarf.

Step-by-step explanation:

Step 1; Assume the amount of purple fabric to be x for each scarf and the amount of blue fabric required for each scarf to be y. It says a total of six scarves are needed. It is given that a total of 10 yards of fabric is used i.e. the total of purple fabric and the blue fabric. So we can create an equation for this. As 6 scarves are needed we substitute x and y as 6x and 6y.

Total fabric used= 6x + 6y = 10 yards.

Step 2; It is given that for each and every scarf 1\frac{1}{4} yards of purple fabric is needed. So for 6 scarves a total of 6 * 1\frac{1}{4} yards is needed. So 6x becomes 6 * 1\frac{1}{4} yards.

6x = 6 * 1\frac{1}{4} yards = 6 * \frac{5}{4} = \frac{30}{4} yards of purple fabric.

Step 3; Now we solve for the amount of blue fabric needed.

6y = 10 - \frac{30}{4} = \frac{40-30}{4} = \frac{10}{4}

But the \frac{10}{4} yards is for 6 scarves to we divide it by 6 to get the material needed for a single scarf

y = \frac{10}{4}/6 = \frac{10}{4} * \frac{1}{6} = \frac{10}{24} = \frac{5}{12} yards = 0.4166 yards of blue fabric for each scarf.

8 0
3 years ago
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