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3 years ago

Find x. Round your answer to the nearest tenth of a degree. Lo 40

Mathematics

1 answer:

asambeis [7]3 years ago

4 0

Answer:

x = 62.3 degrees.

Step-by-step explanation:

We should notice a certain trigonometric function that works here.

tan x = opposite side / adjacent side

tan x = 40/ 21

x = arctan (40/21) = 62.3005 degrees

x = 62.3 degrees.

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Find the area of the figure.

seraphim [82]

$\huge \bf༆ Answer ༄$

At first Divide the figure into two rectangles, I and Il

Area of figure l is ~

$\sf24 \times (40 - 30)$

$\sf24 \times 10$

$\sf240 \: \: ft {}^{2}$

Area of figure ll is ~

$\sf 18 \times 30$

$\sf540 \: ft{}^{2}$

Area of whole figure = Area ( l + ll )

that is equal to ~

$\sf240 + 540$

$\sf780 \: \: ft{}^{2}$

7 0

2 years ago

Identify if the proportion is true or false. 4 to 11 = 12 to 33.

yuradex [85]

Answer:

True

Step-by-step explanation:

Take 4/11 and you get 0.363636363636, which is the same if you take 12/33. So the proportion of the two is the same.

6 0

3 years ago

Read 2 more answers

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

3 years ago

Read 2 more answers

Find the GCF of 8 and 12. WIll give brainliest for the best and most clear answer. :)

siniylev [52]

Answer:

GCF = 4

Step-by-step explanation:

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The greatest common factor is 4.

I hope this helps :).