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andrew-mc [135]
3 years ago
5

Find the area of the triangle.

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0
Imagine you cut the triangle in half. You take the one half and flip it upside down and match it up next to the other hypotenuse. You now have a rectangle.

You can see that two of the sides should be 3 yd and the other two will be 4 yd because you cut 8 yd in half. To find the area you multiply length by width.

3 yd x 4 yd = 12 yd²
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Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC
slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))

y-3=\dfrac{1}{-1}(x+1)

y-3=-x-1

Add 3 on both sides.

y=-x-1+3

y=-x+2

Therefore, the required equation of line is y=-x+2.

8 0
3 years ago
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farth
Nastasia [14]

Answer:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is  7.94 * 10^8 miles farther from Sun than Earth is.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

7 0
3 years ago
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more
Igoryamba

Answer:

g = (h+a) - l

None of them

Step-by-step explanation:

Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them

Let

h = liters of oil in the morning

l= liters that has leaked

a= liters that were added during the day

g= amount of liters at the end of the evening

Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked

Substituting each variable into the formula, we have

g = (h+a) - l

3 0
3 years ago
WILL GIVE BRAINLIEST& 15 PTS.
kicyunya [14]

Answer:

The given fraction \frac{x^3-x^2}{x^3} reduces to  \frac{x-1}{x}

Step-by-step explanation:

Consider the given fraction \frac{x^3-x^2}{x^3}

We have to reduce the fraction to the lowest terms.

Consider numerator x^3-x^2

We can take x² common from both the term,

Thus, numerator can be written as x^2(x-1)

Given expression can be rewritten as ,

\frac{x^3-x^2}{x^3}=\frac{x^2(x-1)}{x^3}

We can now cancel x^2 from both numerator and denominator,

\Rightarrow \frac{x^2(x-1)}{x^3}=\frac{x^2(x-1)}{x^2 \cdot x}

\Rightarrow \frac{(x-1)}{x^2 \cdot x}=\frac{x-1}{x}

Thus, the given fraction \frac{x^3-x^2}{x^3} reduces to  \frac{x-1}{x}

6 0
3 years ago
Read 2 more answers
What is the equation of y = x ^ 3 with the given transformations? vertical compression by a factor of horizontal shift 8 units t
dexar [7]

Answer: y = 3 (x -4)^3

Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x):   y = 3(x - 4)^3

Vertical shift 3 units down (subtract 3 units from the function):   y = 3(x - 4)^3 - 3

5 0
3 years ago
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