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3 years ago

Need help with question a

Mathematics

1 answer:

SVEN [57.7K]3 years ago

4 0

Answer:

1.8 cm

6.3 cm²

Step-by-step explanation:

AC⊥BC

BD=BC=x

(x+5)²+x²=7²
x²+10x+25+x²=49
2x²+10x- 24=0
x²+5x-12=0
x=1.8

BC= 1.8 cm

Area of ABC= 1/2*1.8*7= 6.3 cm²

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

4 0

3 years ago

Sophie borrowed $2000 and took 3 years to repay the loan and $900 interest.

dedylja [7]

I = p * r * n

i is the interest
p is the principal
r is the interest rate per time period
n is the number of time periods.

in your problem:

i = 900
p = 2000
r = what you want to find
n = 3 years

formula becomes 900 = 2000 * r * 3

solve for r to get r = 900 / 2000 / 3 = .15

that's .15 interest rate per year = 15% per year.

at a nominal interest rate of .15 per year, the interest rate per month would be .15/12 = .0125 per month.

the remaining balance at the end of 6 month is equal to 1907.140183

7 0

3 years ago

The equation tan(x- pi/3) is equal to _____.

kherson [118]

Answer:

Step-by-step explanation:

Using the expansion

tan(x - y) = $\frac{tanx-tany}{1+tanxtany}$ , then

tan(x - $\frac{\pi }{3}$ )

= $\frac{tanx-tan(-\frac{\pi }{3}) }{1+tanxtan(-\frac{\pi }{3}) }$

note that tan( - $\frac{\pi }{3}$ ) = - tan( $\frac{\pi }{3}$ ) = - $\sqrt{3}$

= $\frac{tanx-(-\sqrt{3}) }{1+tanx(-\sqrt{3}) }$

= $\frac{tanx+\sqrt{3} }{1-\sqrt{3}tanx }$ → B

6 0

3 years ago

Read 2 more answers

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

levacccp [35]

The ratio of linear dimensions (side lengths) is the square root of the ratio of areas.
√1 : √4 = 1 : 2

The best choice is ...
B. 1:2

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3 years ago

PLZZZZZ HELP ME! :) XDDD

Taya2010 [7]

In order to figure out what the answer is you would have to divide the number of feet it fell by the time. If you do 35.75 divided by 3.25 it would be 11.
So the answer most likely would be 11
Please correct me if I am wrong
Have a great day!

4 0

3 years ago