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FromTheMoon [43]
3 years ago
10

What is the measure of ∠FIH? A) 144° B) 90° C) 108°

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
A) 144 degrees since it would be 72 x 2 I think
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Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent th
LiRa [457]

The exponential function that represents the future value of the investment is $300(1.04)^t.

<h3>What is the exponential function?</h3>

The exponential function that can be used to determine the future value of the investment is:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

$300(1.04)^t.

Where t represents number of years

To learn more about future value, please check: brainly.com/question/18760477

7 0
2 years ago
Solve Systems by Substitution<br> 2x+5y=-3<br> x+8y=4<br> and<br> 2x+y=7<br> x-2y=-14
ASHA 777 [7]
2x + 5y = -3 ⇒ 2x +   5y = -3 
1x + 8y =  4 ⇒ <u>2x + 16y = 8
</u>                               -<u>11y</u> = <u>-11 </u>
                                -11     -11
                                    y = 1
                        2x + 5(1) = -3
                            2x + 5 = -3
                            <u>      -5     -5</u>
                                  <u>2x</u> = <u>-8</u>
                                   2      2
                                    x = -4
                              (x, y) = (-4, 1)

2x + 1y = 7     ⇒ 2x + 1y = 7
1x -  2y = -14 ⇒ <u>2x  - 4y  = -28</u>
                                   <u>5y</u> = <u>35</u>
                                    5      5
                                     y = 7
                             2x + 7 = 7
                             <u>      -7   -7</u>
                                   <u>2x</u> = <u>0</u>
                                    2     2
                                    x = 0
                              (x, y) = (0, 7)
4 0
3 years ago
A man hiked a distance of 9 miles into the country. He rode back in a car along the same route at the rate of 27 mph. If the ent
Sophie [7]
Let n be the man's walking rate. Then:
9/n+9/27=3&1/3
243+9n=90n
243=81n
n=3
The man's walking rate was 3 mph
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3 0
3 years ago
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Pleeaaaaassssssseeeee help for brainlist and 100 points
emmainna [20.7K]

Answer:

Part A: C, Part B: A, E, i, K  160 cm, A: 21, Use PEMDAS and you get 13 5/7.

Step-by-step explanation:

1.6 x 100 meters = 160 centimeters

3 x 7/1 = 21/1 = 21

3 0
3 years ago
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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

4 0
3 years ago
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