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2 years ago

What is the area of the triangle? 16 8 10

Mathematics

1 answer:

sertanlavr [38]2 years ago

3 0

Answer:

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

36 = b²

6 = b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(6 x 8)

1/2(48)

Calculate the area of the bigger triangle:

We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.

1/2(bxh)

1/2(10 x 8)

1/2(80)

Add both areas to find the area of the largest triangle:

40 + 24 = 64

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DIA [1.3K]

It's C because the equations are similar

3 0

2 years ago

ANSWER ASAP x+4.5 x= 1.2 A: 3.3 B: 6.7 C: 5.7

swat32

Answer:

C.5.7

Step-by-step explanation:

plug in the x value then add 4.5 to 1.2 and booyyah

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2 years ago

Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x

zvonat [6]

The general formula for exponential growth and decays is:

$y=y_0e^{kx}$

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

The function

$y=\frac{1}{4}(\frac{1}{e})^{-2x}$

can be wrtten as:

$\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}$

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

The function

$y=(\frac{1}{e})^{4x}$

can be written as:

$\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}$

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

The function

$y=2e^{-x}+1$

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0

1 year ago

Peer review involves scientists openly publishing details of the methods they used, the results of

IrinaK [193]

Answer: 1. Peer review involves scientists openly publishing details of the methods they used, the results of

their experiments, and the reasoning behind their hypotheses for other scientists working in the

same field to evaluate. = B true .

2. Data from controlled experiments can provide evidence that one variable causes another. = B true .

Step-by-step explanation:

Peer review is when a scientist conducts an experiment and then gives all of their information and findings to peers in order for them to follow the findings and see if the first findings are rational.

4 0

3 years ago

What is the general process for solving an equation with one variable?

elena55 [62]

Greetings!

"What is the general process for solving an equation with one variable?"...

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:
 $2x+4=64$
Add -4 to both sides to isolate the variable.
 $(2x+4)+(-4)=(64)+(-4)$ 
Simplify.
 $2x=60$
Divide both sides by 2 to isolate the variable on one side.
$(2x)/2=(60)/2$
$x=30$

Hope this helps.
-Benjamin

5 0

3 years ago