Area = (base)*(height)
15 = (x+7)(x-7)
(x+7)(x-7) = 15
x^2 - 49 = 15
x^2 - 49+49 = 15+49
x^2 = 64
sqrt(x^2) = sqrt(64)
x = 8 ... note that x can't be negative

If x = 8, then the base is...
x+7 = 8+7 = 15

Therefore the base is 15 units.
(the height is x-7 = 8-7 = 1 unit)

7 0

3 years ago

Number 10Please just show the math and not the sentence explanations, I just want to use this problem as an example :)

Morgarella [4.7K]

Explanation

We are given the following right-angled triangle:

We are required to determine the indicated angle in the given figure.

This is achieved thus:

According to the image, we have:

$\begin{gathered} Opposite=9 \\ Adjacent=21 \end{gathered}$

Therefore, we have:

$\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ \tan\theta=\frac{9}{21} \\ \theta=\tan^{-1}(\frac{9}{21}) \\ \theta\approx23\degree \end{gathered}$

Hence, the answer is:

$23\degree$

4 0

1 year ago

P= $1,000, t= 6, r= 11%, compounded annually (k = 1)​

P= $1,000, t= 6, r= 11%, compounded annually (k = 1)