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3 years ago

Use a calculator to find the approximate value of sin-1( 0.635).

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

Using a calculator, I arrived to answer C because if you enter it in right you arrive at 39.419, rounding it to 39.42

zubka84 [21]3 years ago

3 0

I believe it is 39.42

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If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units

nikdorinn [45]

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: $V=\frac{4}{3} \pi r^3$ . In this formula:

V = volume of the sphere
r = radius of the sphere

Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

$36=\frac{4}{3} \pi r^3$

Divide both sides by $\frac{4}{3}$ . To do this, multiply 36 by the reciprocal of $\frac{4}{3}$ .

$36\times \frac{3}{4}$
$36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27$

Simplify and rewrite the equation.

$27=\pi r^3$

Now divide both sides of the equation by pi ( $\pi$ ).

$27\div\pi=8.59436692696$

Rewrite the equation.

$8.59436692696=r^3$

To isolate and solve for r, cube root both sides of the equation.

$r=\sqrt[3]{8.59436692696}$
$r=2.04835218977$

The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

whole number: 2 units
tenth: 2.0 units
hundredth: 2.05 units
thousandth: 2.048 units

I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

8 0

3 years ago

Read 2 more answers

Use the following similar triangles (ABC ~ DEF). If AC= 18 when DF=19 and AB=15, what is DE? Solve mathematically. Round your an

aev [14]

Answer:

Step-by-step explanation:

As they are similar triangles,we can write

$\frac{AB}{DE}$ = $\frac{AC}{DF}$

⇒ $\frac{15}{DE}$ = $\frac{18}{19}$

⇒DE=15.8

3 0

3 years ago

Read 2 more answers

Answer pls i need help

Hitman42 [59]

Answer:

Step-by-step explanation:

the angles are vertical (I think that's the right term) so they are the same

6 0

2 years ago

Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the

Virty [35]

Answer:

V1 = 60 km/h

V2 = 40 Km/h

Step-by-step explanation:

The speed of an object is defined as

Speed = distance / time

Let

V1 be the speed of the faster car

V2 be the speed of the other car

t1 the time it took for the first car to arrive

t2 the time it took for the second car to arrive

d1 the distance traveled by first car

d2 the distance traveled by second car

We know thanks to the problem that

V1 = V2 + 20 Km/h

t1 = t2 - 1 hour

d1 = d2 = 120 Km

d1 = V1 * t1

d2 = V2* t2

V1 * t1 = V2* t2

V1* t1 = (V1 -20)*(t1 +1)

The system of equations

(V1 -20)*(t1 +1) = 120

V1 * t1 = 120

120 + (120/t1) -20*t1 = 140

(120/t1) -20*t1 = 20

Which gives,

t1 = 2

This means

V1 = 60 km/h

V2 = V1 - 20 Km/h = 40 Km/h

6 0

3 years ago

Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

$1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297$

4 0

3 years ago