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Verizon [17]
4 years ago
7

Given AABC ADEF, AB = 4x-1, FD = 7, and DE = 8x-33.

Mathematics
1 answer:
Nataliya [291]4 years ago
8 0

Answer: x=8 and DE=31

Step-by-step explanation:

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Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you p
Amiraneli [1.4K]

Answer:

the simple interest rate is 18.00%

Step-by-step explanation:

The computation of the simple interest rate is shown below:

Amount = Principal × (1 + rate)^years

$4,935 = $3,000 × (1 + rate)^3

After solving it, the rate of percentage is 18.00%

Hence, the simple interest rate is 18.00%

7 0
3 years ago
A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this
Alexandra [31]

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

6 0
4 years ago
Use properties of operations to find the quotient.<br><br> 11.8364 ÷ 2.33
Artyom0805 [142]

Answer:

I think the answer is 5.08

3 0
2 years ago
Read 2 more answers
What is the value of x?
sladkih [1.3K]
If the angles are 90,45,45 so the sides except hypotenuse are congruent
and the hypotenuse is equal to :
{6 \sqrt{2} }^{2}  +  {6 \sqrt{2} }^{2}  =  {x}^{2}  \\  {8.5}^{2}   +  {8.5}^{2}  =  {x}^{2}  \\ 72.25 + 72.25 =  {x}^{2}  \\
{x}^{2}  = 144.5 \\ x = 12

the answer is 12

hope this helps
6 0
4 years ago
PLEASE HELP!!! WILL MARK BRAINLIEST!! THX! A golfer hits a ball with an initial velocity of 32.7 m/s from the ground. Find the f
OLEGan [10]

Answer:

See below

Step-by-step explanation:

<u>First Problem</u>

The ball hits the ground when h(t)=0, therefore:

h(t)=-4.9t^2+v_0t+h_0

0=-4.9t^2+32.7t

0=t(-4.9t+32.7)

t=0 and t=\frac{32.7}{4.9}\approx6.67

Since the ball is in the air before it hits the ground, t=6.67 (seconds) is the more appropriate choice.

<u>Second Problem</u>

The maximum height of the ball is determined when t=-\frac{b}{2a}, therefore:

t=-\frac{b}{2a}

t=-\frac{32.7}{2(-4.9)}

t=-\frac{32.7}{-9.8}

t\approx3.34

This means that the height of the ball is at its maximum after 3.34 seconds:

h(t)=-4.9t^2+32.7t

h(3.34)=-4.9(3.34)^2+32.7(3.34)

h(3.34)\approx54.55

Thus, the answer is 54.55 (meters).

<u>Third Problem</u>

Refer to the second problem

<u>Fourth Problem</u>

<u />h(t)=-4.9t^2+32.7t<u />

<u />h(4.3)=-4.9(4.3)^2+32.7(4.3)<u />

<u />h(4.3)\approx50.01<u />

<u />

Therefore, the height of the ball after 4.3 seconds is 50.01 (meters).

<u>Fifth Problem</u>

The ball will be 24 meters off the ground when h(t)=24, therefore:

h(t)=-4.9t^2+32.7t

24=-4.9t^2+32.7t

0=-4.9t^2+32.7t-24

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{-32.7\pm\sqrt{(32.7)^2-4(-4.9)(-24)}}{2(-4.9)}

t_1\approx0.84

t_2\approx5.83

Therefore, the ball will be 24 meters off the ground after 0.84 (seconds) and 5.83 (seconds)

5 0
2 years ago
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