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3 years ago

Find the angle measure to the nearest tenth of a degree:

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

Answer:

B. 82.8°

Step-by-step explanation:

-Given that $\theta=tan^{-1} 7.9321$

-We simply use our calculators to calculate the tan inverse 7.9321 as:

$tan^{-1} 7.9321=82.81463$

-When rounding off to the nearest tenth, we check the digit in the hundredth:

if more than 4, we round up
if less than 5, we round down to the previous term

$82.81463\approx 82.8$

Hence, the angle theta is 82.8°

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F(x) = x^2 + 4x + 20 find the real roots. take your time if you want :)

s344n2d4d5 [400]

Answer:

No real roots

$x = -2 + 4i, x = -2 - 4i$

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: $ax^2 + bx + c = 0$

Quadratic Equation: $x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}$

Given our Equation: $f(x) = x^2 + 4x + 20$

a = 1
b = 4
c = 20

Set the equation to 0 and solve using the formula.

<h3>Solve</h3>

$x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}$
$x = \frac{-4\pm\sqrt{4^2 - 4(1)(20)}}{2(1)}$
$x = \frac{-4\pm\sqrt{16 - 80}}{2}$
$x = \frac{-4\pm\sqrt{-64}}{2}$
$x = \frac{-4\pm8i}{2}$
$x = -2 + 4i, x = -2 - 4i$

There are no real roots to the quadratic.

8 0

2 years ago

Helppp meeeeeee asappppppp

Juliette [100K]

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

5 0

3 years ago

Shanice invests $5,887 in a retirement account with a fixed annual interest rate of 4% compounded 12 times per year. How long wi

qwelly [4]

Answer:

It takes 14 years for the account balance to reach $10,296.62

Step-by-step explanation:

Given:

Principal amount = $5,887

Rate of interest = 4% and 12 times per year

Balance amount = $10296.62

To find:

The time to reach $10,296.62 = ?

Solution:

We know that

$N(t) = N_0e^{rt}$

Here,

N(t) = 10,296.62

$N_0$ = $5,887

r = 4 % = 0.04

we have to find the t value

On substituting the given values

$10,296.62 = 5,887e^{0.04t}$

Taking ln to remove e we get

ln $ln(10,296.62) = ln(5887)({0.04t)$

$ln(\frac{10296.62}{5887}) = 0.04t$

ln(1.749) = 0.04t

$t = \frac{ln(1.749)}{0.04}$

$t =\frac{ 0.5590}{0.04}$

t = 13.97

t = 14

4 0

3 years ago

What is the radius of a basketball hoop with a circumference of 56.52

evablogger [386]

Answer:

Step-by-step explanation:

R= C/2pi R

56.52/ 2pi=8.99543738355

Answer to 2 significant figures=9.0

7 0

4 years ago

What is the equation of the line that passes through the point (1,7)and has a slope of -1<br> ?

serg [7]

Answer:

y = -x + 8

Step-by-step explanation:

First, plug in the slope.

y = mx + b

y = -1x + b

y = -x + b

Then, plug in the point.

7 = -(1) + b

7 = -1 + b

8 = b

3 0

3 years ago