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Sergio039 [100]

3 years ago

12

Draw a triangle giving the following information: Right triangle, height of 3.1 ft and base of 8.9 ft. Find the length of the hy

potenuse and the measure of the other two angles.

1 answer:

Talja [164]3 years ago

7 0

Hypotenuse Length: 9.42443632267

Angle 1 (opposite larger side): 70.8 Degrees

Angle 2 (opposite smaller side): 19.204 Degrees

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Please answer this...

Romashka [77]

2 in the first column and 5 in the second column

7 0

3 years ago

NikAS [45]

Answer:

Step-by-step explanation:

Both C and E are correct.

6 0

3 years ago

How do you solve this

IgorLugansk [536]

First lets write out the equation:
-8x + 2x - 16 < -5x + 7x
Lets collect the x values

-6x - 16 < 2x
-8x - 16 < 0 (subtract both sides by 2x to get all the x's on one side)
-8x < 16 ( add both sides by 16 to get all the x's alone)
x < -2 ( divide both sides by -8 to get what just x is)

So x < -2

6 0

3 years ago

Gina plotted 3 points from the equation y = x + 2 on this coordinate grid. She drew a straight line through the points.

IRISSAK [1]

Your answer is D
because the line plot runs through the point that is 0 to the right and is 2 up

7 0

4 years ago

The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

3 years ago