All categories

2 years ago

Simplify the expression.

Mathematics

1 answer:

Ad libitum [116K]2 years ago

8 0

Answer:

-10p/3+32-3/2^p

Step-by-step explanation:

You might be interested in

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

Which of the following are square roots of 265

Studentka2010 [4]

Answer:

Step-by-step explanation:

5 0

2 years ago

1.4t−0.4(t−3.1)=5.8 SOLVE FOR Y

VladimirAG [237]

There is no y in this question, however we can solve for t.

1.4t - 0.4(t - 3.1) = 5.8
1.4t - 0.4t + 1.24 = 5.8
t + 1.24 = 5.8
t = 4.56

3 0

3 years ago

Find the total lateral area of the following

maxonik [38]

Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

= 3π × 5

= 15π cm²

7 0

2 years ago

Which of the following is equivalent to the expression below? log 3-log 15

Nikitich [7]

Answer:

$C. =log\frac{1}{5}$

Step-by-step explanation:

Formula =======================

consider a and b two real numbers

where a > 0 and b > 0.

$log\frac{a}{b} =loga-logb$

……………………………………………………………

log 3 − log 15

$=log\frac{3}{15}$

$=log\frac{3}{3\times 5}$

$=log\frac{1}{5}$

8 0

1 year ago

Read 2 more answers