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2 years ago

Find the angle in degrees

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

3 0

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

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What is the area of the composite figure?

lana [24]

Hello! :)

$\large\boxed{A = 32.5cm^{2}}$

We can use the following area to solve for the area of the trapezoid pictured:

$A = \frac{1}{2}(b_{1} + b_{2})h$

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

$A = \frac{1}{2}(9 + 4)(5)$

Simplify:

$A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}$

8 0

2 years ago

Please hurry! This is due soon.

kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

$f(x)=\frac{e^7^x+\sqrt{3}}{2}$

$y=\frac{e^7^x+\sqrt{3}}{2}$

$x=\frac{e^7^y+\sqrt{3}}{2}$

$2x=e^7^y+\sqrt{3}$

$e^7^y=2x-\sqrt{3}$

$7y=ln(2x-\sqrt{3})$

$y=\frac{ln(2x-\sqrt{3})}{7}$

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

$g(f(x))$

$g(\frac{e^7^x+\sqrt{3}}{2})$

$\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}$

2s cancel.

$\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}$

The natural log and e cancel.

$\frac{7x+\sqrt{3}-\sqrt{3}}{7}$

$\sqrt{3}$ s cancel.

$\frac{7x}{7}$

7s cancel.

$x$

Hope this helps!

3 0

2 years ago

If $95 is put in an account that gets 6% and I add $18 at the end of each year, how much will I have at the end of 11 years?

Temka [501]

6% of $95 = $5.70
multiply $5.70 by 11 years = $62.70 <— interest gained over 11 years
multiply $18 by 11 years = $198 <— total added over 11 years
add $95 + $62.70 + $198 = $355.70
there will be a total of $355.70 in your account after 11 years

7 0

2 years ago

(08.05)theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. what is the lowest score she can g

aksik [14]

99 because anything less will give you an average of 89 and a decimal

6 0

3 years ago

Slove the equation <br> ×+20=29

photoshop1234 [79]

Answer: x = 9

Step-by-step explanation:

x + 20 = 29

x = 9

9 + 20 = 29

8 0

3 years ago