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3 years ago

Pls help I'm really bad at math :( !!!!!!

Mathematics

1 answer:

Lelechka [254]3 years ago

8 0

Answer:

what happened what is the question

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ANTONII [103]

Right triangles are triangles that have the measure of one angle to be 90 degrees

<h3>How to calculate the missing parts</h3>

a. A = 40°10'13", hypotenuse = 402.36 ft

Convert the angle to degrees

$A=40.17^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(40.17) = \frac{Opposite}{402.36}$

Cross multiply

$Opposite = 402.36 * \sin(40.17)$

$Opposite = 259.55$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(40.17) = \frac{Adjacent}{402.36}$

Cross multiply

$Adjacent = 402.36 * \cos(40.17)$

$Adjacent = 307.46$

Hence, the missing parts are:

Adjacent = 307.46 and Opposite = 259.55

b. A = 62°09'15", hypotenuse = 338.74 m

Convert the angle to degrees

$A=62.15^o$

Start by calculating the opposite side using the following sine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(62.15) = \frac{Opposite}{338.74}$

Cross multiply

$Opposite = \sin(62.15) *338.74$

$Opposite = 299.50$

The adjacent is then calculated using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(62.15) = \frac{Adjacent}{338.74}$

Cross multiply

$Adjacent = \cos(62.15) * 338.74$

$Adjacent = 158.25$

Hence, the missing parts are:

Adjacent = 158.25 and Opposite = 299.50

c. A = 36°22'10", adjacent side = 360.41 ft

Convert the angle to degrees

$A=36.37^o$

Start by calculating the hypotenuse using the following cosine ratio

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

So, we have:

$\cos(36.37) = \frac{360.41}{Hypotenuse}$

Make Hypotenuse the subject

$Hypotenuse = \frac{360.41}{\cos(36.37)}$

$Hypotenuse = 447.60$

The opposite side is then calculated using the following cosine ratio

$\sin(A) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(36.37) = \frac{Opposite}{447.60}$

Cross multiply

$Opposite = 447.60 * \sin(36.37)$

$Opposite = 265.43$

Hence, the missing parts are:

Hypotenuse = 447.60 and Opposite = 265.43

d. Hypotenuse = 428.29 m, opposite side =397.06 m

The adjacent is calculated as:

$Adjacent = \sqrt{Hypotenuse^2 - Opposite^2$

So, we have:

$Adjacent = \sqrt{428.29^2 - 397.06^2$

$Adjacent = 160.55$

Hence, the missing part is:

Adjacent = 160.55

e. Hypotenuse = 409.31 ft, adjacent side = 274.82 ft

The opposite is calculated as:

$Opposite= \sqrt{Hypotenuse^2 - Adjacent ^2$

So, we have:

$Opposite= \sqrt{409.31^2 - 274.82^2$

$Opposite= 303.33$

Hence, the missing part is:

Opposite= 303.33

f. Opposite side = 375.82 m, adjacent side= 276.05 m

The hypotenuse is calculated as:

$Hypotenuse= \sqrt{Opposite^2 + Adjacent ^2$

So, we have:

$Hypotenuse= \sqrt{375.82^2 + 276.05^2$

$Hypotenuse= 466.31$

Hence, the missing part is:

Hypotenuse= 466.31

Read more about right triangles at:

brainly.com/question/2437195

5 0

3 years ago

How much must be deposited today into the following account in order to have $ 65,000 in 8 years for a down payment on a house?

svp [43]

Answer:

$\$47,494.86$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=8\ years\\ A=\$65,000\\ r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$65,000=P(1+\frac{0.04}{1})^{1*8}$

$65,000=P(1.04)^{8}$

Solve for P

$P=65,000/(1.04)^{8}$

$P=\$47,494.86$

3 0

3 years ago

If anyone knows this then thank you

vekshin1

Answer:

B) x=12

Step-by-step explanation:

x+22+4x+2= 5x+24

5x+24=84

5x=60

x=12

6 0

3 years ago

Read 2 more answers

Cole Jumped rope for 7 1/2 minutes how many seconds did he jump rope

Assoli18 [71]

Answer:

450

Step-by-step explanation:

We know that Cole did jump rope for 7 1/2 minutes.

In one minute there are 60 seconds. So we know that for each minute there is a 60 in it.

So, 7 x 60 = 420 then a half minute is thirty seconds (we know this because half of sixty is thirty.)

So we simply add 30 to 420 getting 450.

4 0

4 years ago

Alesha is inviting 10 friends to a party, and each friend will get 5 cookies. How many cookies does Alesha need to get

Montano1993 [528]

Answer:

Step-by-step explanation:

10x5=50

5 0

3 years ago

Read 2 more answers