Help me solve this And please explain

2 answers:

8 0

$(-2)^3=(-2)\times(-2)\times(-2)=-8\\\\\\\left(\frac{3}{4}\right)^2=\frac{3^2}{4^2}=\frac{3\times3}{4\times4}=\frac{9}{16}$

6 0

$(-2)^3=-8\\
\left(\frac{3}{4}\right)^2=\frac{9}{16}$

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kati45 [8]

Answer:

Step-by-step explanation:

let the distance from central pole to one end=r

8/r=tan 40°

r=8/tan40=8 cot~40°=8 cot(90-50)=8 tan ~50≈9.534

2r≈19.068≈ 19.1

width of tent=19.1 ft

8 0

3 years ago

aivan3 [116]

We will apply the "FOIL" method for multiplying two binomials. In this method you will:

The mathematical representation of the FOIL method is shown as:

$(a + b)(c + d) = ac + ad + bc + bd$

Let's apply the FOIL method.

The first two terms of each binomial are $\frac{4}{7}$ and $\frac{8}{7}$ . Multiplied together, we find the new term of $\frac{4}{7} \cdot \frac{8}{7} = \frac{4 \cdot 8}{7 \cdot 7} = \frac{32}{49}$ .
The outside two terms are $\frac{4}{7}$ and $\frac{7}{5} i$ . Multiplied together, these two terms are $\frac{4}{7} \cdot \frac{7}{5}i = \frac{4 \cdot 7}{7 \cdot 5}i = \frac{28}{35}i$ .
The inside two terms are $-i$ and $\frac{8}{7}$ . Multiplied together, these two terms are $- \frac{8}{7} i$ .
The last two terms are $-i$ and $\frac{7}{5} i$ . Multiplied together, these two terms are $-i \cdot \frac{7}{5}i = -\frac{7}{5} i^2$ . Remember though that $i^2 = 1$ , so our new term is actually $\frac{7}{5}$ .
Added together, we get: $\frac{32}{49} + \frac{28}{35} i - \frac{8}{7} i + \frac{7}{5} = \frac{160}{245} + \frac{196}{245}i - \frac{280}{245}i + \frac{343}{245} = \frac{503}{245} - \frac{84}{245} i = \frac{503}{245} - \frac{12}{35}i$ .