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3 years ago

If 4a^2 = 144 then a is?

1 answer:

4 0

4a²=144
a²=144/4
a²=36
a=⁺₋√36
a=⁺₋6

Answer: we have two values for a; a=-6; and a=6

we check it out:
if a=-6
4(-6)²=4*36=144

if a=6
4(6)²=4*36=144

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If a coin is tossed 5 times, what is the probability that it will land heads each time

Sever21 [200]

1/2 because there are only two sides heads and tails. applies to each time you toss the coin

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4 years ago

Read 2 more answers

Can you make 24 from the numbers 3, 6, 8 and 2, using all the numbers? You can only use the operations: + - x / ( )

Andre45 [30]

Answer:

you can do 3 x 6 + 8 - 2

Step-by-step explanation:

3 × 6= 18

+8= 26

-2= 24

hope this Helps :)

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3 years ago

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

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

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3 years ago

What is the greatest possible number of real zeros of f(x) = x3 – 2x2-x+1?

Sedaia [141]

Answer:

Step-by-step explanation:Use the drop-down menus to identify the roots in these English words.

Aristocratic:

Incredulous:

Contradiction:

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4 years ago

Zendaya has 5656 yard of wood to make racks for a word tile game. Each rack needs to be 1616 yard long. How many racks can Zenda

snow_lady [41]

Answer: 3

Step-by-step explanation:

Given

Zendaya has 5656 yards of wood

Each rack need 1616 yards

Number of racks that can be formed using 5656 yards are

$\Rightarrow \dfrac{5656}{1616}=3.5$

3.5 represents 3 racks as 0.5 racks is insignificant

Therefore, 3 racks can be built from 5656 yards

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3 years ago