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3 years ago

What is the first step in evaluating the expression shown below?

Mathematics

1 answer:

Olegator [25]3 years ago

8 0

Answer:

Step-by-step explanation:

because it is is parenthesis

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In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet. Find the measure of ∠W to the nearest tenth of a degree.

kiruha [24]

Answer:

16.76°

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.

We want to find the measure of <W.

We know side length that is adjacent and opposite to <W.

We can use the tangent ratio, to find the measure of <W.

The tangent ratio is opposite over hypotenuse.

$\tan(m \angle \: w) = \frac{2.5}{8.3}$

$\tan(m \angle \: w) = 0.301$

Take tangent inverse to get:

$m \angle \: w= { \tan}^{ - 1} (0.301)$

$m \angle \: w=16.76 \degree$

7 0

3 years ago

Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt

ser-zykov [4K]

Answer:

$I(t)=\frac{1}{3}(1-e^{-30t})$

Step-by-step explanation:

We are given that

$\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}$

R=150 ohm

L=5 H

V(t)=10 V

$P=\frac{R}{L}=\frac{150}{5}=30$

$I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}$

$I(t)\times I.F=\int e^{30 t}\times 10 dt+C$

$I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C$

$I(t)=\frac{1}{3}+Ce^{-30 t}$

I(0)=0

Substitute t=0

$0=\frac{1}{3}+C$

$C=-\frac{1}{3}$

Substitute the values

$I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}$

$I(t)=\frac{1}{3}(1-e^{-30t})$

5 0

3 years ago

$7 is what percent of 10$

marissa [1.9K]

Answer:

7/10

Step-by-step explanation:

you got 7 out of 10 dollars

5 0

3 years ago

Read 2 more answers

What is the solution to the system of equations shown below?

goblinko [34]

Answer:

b. (2, 5, 3)

Step-by-step explanation:

Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.

Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...

7z = 21

z = 3 . . . . . divide by 7

This answer is consistent with choice B, confirming that answer and eliminating the other choices.

5 0

3 years ago

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Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?

kifflom [539]

Answer:

Lower Quartile is 8 according to the diagram.

6 0

2 years ago