All categories

3 years ago

HELP ME PLEASE solve the right triangle

Mathematics

1 answer:

xxMikexx [17]3 years ago

6 0

Answer:

UV = 8.9 ∠V=30° ∠U=60°

Step-by-step explanation:

1. Find the hypotenuse (UV )

8^2+4^2=c^2

64+16=c^2

80=c^2

C= $\sqrt{80}$ or 8.94427191...

2. We know this is a right triangle is a 30, 60, 90 triangle because the sides are not the same. This means ∠V=30° and ∠U=60° The 30 degree angle is opposite of the short leg and the 60 degree angle is opposite of the long leg.

You might be interested in

You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

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

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0

3 years ago

275,000,000 written in scientific notation would be

zubka84 [21]

Round to the nearest significant number

275,000,000 = 2.75^8

2.75^8 is your answer

hope this helps

8 0

3 years ago

Solve 10/6 + 3/6- 5/6 mentally

Alinara [238K]

Answer:

4/3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the 22nd term of the arithmetic sequence whose common difference is d=5 and whose first term is a,=4.

Mars2501 [29]

Answer:

109 is the 22nd term

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the Value of x+y ? PLZ Help ASAP

Natalija [7]

ANSWER

$x + y = 60$

EXPLANATION

Method 1

Vertically opposite angles are equal, therefore

$3x + 55 = 85$

This implies that,

$3x = 85 - 55$

We simplify to get,

$3x = 30$

Dividing through by 3 gives,

$x = 10$

Also,

$2y - 5 = 95$

This implies that,

$2x = 95 + 5$

We simplify the right hand side to get,

$2x = 100$

We divide both sides both sides by 2 to get,

$x = 50$

$x + y = 50 + 10$

$x + y = 60$

Method 2

Angles on straight line sums to 180°.

$2y-5+85=180$

This implies that,

$2y+80=180$

$2y=180-80$

$2y=100$

$y=50$

Also,

$3x+55+95=180$

$3x+150=180$

$3x=180-150$

$3x=30$

$x=10$

$x+y=50+10$

$x+y=60$

7 0

3 years ago

Read 2 more answers