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scZoUnD [109]
3 years ago
9

A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded

to the nearest tenth?
A. 8.5 cm
B. 7.5 cm
C. 5.5 cm
D. none of the above
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The hypotenuse squared is equal to the sum of the legs squared in a right triangle.

∴ c² = a² + b² (Pythagorean’s Theorem)

c² = 3.4² + 6.7² (substitute the given values for a & b)

c² = 11.56 + 44.89 (square both right hand terms)

c² = 56.45 (add the right hand side values)

c = √56.45 (square root of both sides)

c ≈ 7.5 to the nearest tenth QED

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Find the balance of $7,000 deposited at 4% compounded semi-annually for 2 years
Rufina [12.5K]

Answer:

The balance will be $7,577.03.

Step-by-step explanation:

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 7000, r = 0.04

Semianually means twice a year, so n = 2

We want to find A when t = 2.

So

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

A = 7000(1 + \frac{0.04}{2})^{2*2}

A = 7577.03

The balance will be $7,577.03.

5 0
3 years ago
Find the radius of a sphere with a volume of 2, 304π cubic feet.
swat32

Answer:

it says 8.193 ft

Step-by-step explanation:

7 0
3 years ago
The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been
REY [17]

The number of marriage licenses were issued in 2003 is 21586.

According to the statement

we have to find the number of marriage licenses were issued in 2003

and the given equation is y=3.405x^2-17674x+21533000

And in this equation x represent the time

And Y represent the number of marriage certificate issued.

So, in given equation

y=3.405x^2-17674x+21533000

we fill the value of X and find the value of Y means tne number of marriage license is issued in 2003

We know that X = 3 from 2000 to 2003

Then put X=3 in the given equation.

Then

This is the equation (1) represent the change

y=3.405(3)^2-17674(3)+21533000 -(1)

y = 30.645+53022+21533000

y = 21586052.645

On nearest hundred the value becomes 21586.

So, The number of marriage licenses were issued in 2003 is 21586.

Learn more about NUMBERS here brainly.com/question/1770447

DISCLAIMER: The question was incomplete. please find the full content below.

QUESTION:

According to the model, how many marriage licenses were issued in 2003? Round your answer to the nearest hundred.

The number of marriage licenses issued by Clark county Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. This can be modeled by y=3.405x^2-17674x+21533000 where x is the year and y is the number of marriage licenses issued.

#SPJ1

5 0
2 years ago
B(n)=-8-2(n-1)<br> Find the 9th term
TEA [102]

Answer:

The 9th term will be -24

Step-by-step explanation:

The 9th term will be equal to

b_{n} = - 8 - 2(n - 1)

b_{9} = - 8 - 2(9 - 1)

b_{9} = - 8 - 18 + 2

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2 years ago
In 2014, there were 16,400 students at College A, with a projected enrollment increase of 640 students per year. In the same yea
zhenek [66]

Answer:

4 Years

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