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ella [17]
2 years ago
11

Can someone help me with this question please!!!!!

Mathematics
1 answer:
faltersainse [42]2 years ago
6 0
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

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Answer:

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2 years ago
Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)
Nikolay [14]

Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 11 mm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²  

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4 0
3 years ago
If standard deviation of a given data is 5 and mean is 50 then coefficient of variation (C.V) is equal to *
torisob [31]

Answer:

10

Step-by-step explanation:

Coefficient of variation is a measure of dispersion, showing the variability of data in relation to the mean.

The Coefficient of variation compares the degree of variation between data points. The coefficient of variation is the ratio of mean to standard deviation. It is given by the formula:

Coefficient of variation = mean / standard deviation

Coefficient of variation = 50 / 5

Coefficient of variation = 10

4 0
3 years ago
LAST OF MY GEOMETRY PLZ HELP
makvit [3.9K]

Answer:

Step-by-step explanation:

14) 2x - 10 = 80       {alternate interior angles are equal}

     2x = 80 + 10

      2x = 90

        x = 90/2

       x = 45°

15) 3x + 120 = 180    { co interior angles are supplementary}

     3x = 180 - 120

      3x = 60

        x = 60/3

        x = 20°

16) 3x + 15 = 135     {corresponding angles are equal}

      3x = 165 - 15

       3x = 150

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2 years ago
38 ONLY-Please help me answer the following Questions and will give thx or stars
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Answer:

8, 133, 47, 43, 90 (remember to put degree symbols!)

Step-by-step explanation:

i added all of the work and explanations in this files! if you still have questions feel free to comment or message :)

3 0
3 years ago
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