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3 years ago

PLEASE HELP ITS DUE TODAY!!

Mathematics

2 answers:

Paladinen [302]3 years ago

6 0

Answer:

Step-by-step explanation:

Using the pythagorean theorem a^2+b^2=c^2

dedylja [7]3 years ago

4 0

Answer:

78^2 = 72^2 + x^2 pythagoras theorem

x^2 = 900

x= 30

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How do you show work for -6.4 divided by 8

Dafna1 [17]

Answer:

0.8

Step-by-step explanation:

5 0

4 years ago

5/k = 15/20 what would the k be?

mash [69]

Answer:

20/3

Step-by-step explanation:

5/k=15/20

5/k=3/4

5 x 4/3 = k

k=20/3

3 0

4 years ago

Find the volume of the triangular prism

gulaghasi [49]

Answer:

V = 5280 in^3

Step-by-step explanation:

The volume is found by

V = Bh where B is the area of the base and h is the height

first we need to find the area of the base

The base is the triangle

We need to find the base dimension for the triangle

34^2 = 16^2 + b^2

34^2 -16^2 = b^2

900 = b^2

30 =b

B = 1/2 bh

= 1/2 (30) *16

B =240

V = Bh

V = 240 * 22

V = 5280 in^3

3 0

3 years ago

Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).

schepotkina [342]

Answer: The answer is $15y+4=25(x-1.6)^2.$

Step-by-step explanation: We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

$x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.$

Let the equation of the parabola be $y=a(x-1.6)^2+k.$

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

$-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4$

and

$0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.$

Solving the above two equations, we get

$a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.$

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

$y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.$

Thus, the equation of the parabola is $15y+4=25(x-1.6)^2.$

3 0

4 years ago

Which of the following is the balance for a single $2700 deposit in an account with an APR of 4.5% that compounds interest month

Zanzabum

The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

Step-by-step explanation:

The given is,

A single deposit amount - $ 2700

APR - 4.5%

( Compounded monthly )

Period - 7 years

Step:1

Formula to find future amount with an APR compounded monthly,

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

Where, A - Future amount

P - Initial deposit

r - Interest rate

n - Number of compounding in a year

t - No.of years

From given,

P = $ 2700

r = 4.5%

n = 12 (∵ For monthly n becomes 12 )

t = 7 years

Equation (1) becomes,

$= 2700(1+\frac{0.045}{12})^{(12)(7)}$

$= 2700(1+0.00375)^{84}$

$= 2700(1.36945)$

$= 3697.52$

A = $3697.52

Result:

The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

3 0

4 years ago