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2 years ago

Solve the right triangle ABC with right angle C if B = 30° and c = 10.

Mathematics

1 answer:

mart [117]2 years ago

6 0

Step-by-step explanation:

Answer:

Last choice is correct.

Step-by-step explanation:

Given that ∠C=90°, ∠B=30°, c=10

We know that sum of all angles in a triangle is 180 degree.

∠A+∠B+∠C=180°

∠A+∠30°+∠90°=180°

∠A+∠120°=180°

∠A=60°

Now we can use sin or cos whichever applicable to find missing sides

2b=10

b=5

Similarly

a=8.6602

Hence last choice is correct.

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wariber [46]

Answer:

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Step-by-step explanation:

f+ 4 < 2

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2 years ago

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Find the arc length, x, when r= 8 and 0 = 5 radians.

lys-0071 [83]

Answer:

Arc Length = 40

Step-by-step explanation:

Arc Length Formula: S = rΘ

R = radius

Θ = Radians

Step 1: Identify the radius and the radian angle

R = 8

Θ = 5 radians

Step 2: Plug into the equation

S = (8)(5)

Step 3: Solve

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3 years ago

I NEED HELP!!!

oksano4ka [1.4K]

Answer:

x= -2, y = -3

Step-by-step explanation:

1. substitute x = 4+2y in the first equation: $\begin{bmatrix}2\left(4+2y\right)+y=-7\end{bmatrix}$

simplify it : $\begin{bmatrix}8+5y=-7\end{bmatrix}$

2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->

3. solve for y: 5y = -15 --> y = -15/5 --> y= -3

4. solve for x: x = 4 + 2y

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2 years ago

Four years after opening an account that paid simple interest of 4.25% annually, a depositor withdrew the $2,380 in interest ear

satela [25.4K]

Answer:

Step-by-step explanation:

In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula

prt = I, where

p is the initial investement,

r is the interest rate in decimal form,

t is the time in years, and

I is the interest earned. Notice that we have all those things but the p.

Filling in:

p(.0425)(4) = 2380 and

.17p = 2380 so

p = 14000

That means that 14000 was initially invested. If the depositor withdrew the 2380, then

14000 - 2380 is the amount left in the account, namely, $11620

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2 years ago

A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,

natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean : $\mu=4000$

Sample size : n= 100

Sample mean : $\overline[x}=4500$

Standard deviation: $s=400$

The value of test-statistic is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5$

Hence, the value of the test statistic for this problem is 12.5.

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2 years ago