Find the volume of the triangular prism pictured below with a=10 cm , b=9 cm , and h=8 cm

Can anyone help? Will give Brainly + 20 pts .

katen-ka-za [31]

Answer:

She invested 1600 at 8% (to get the shown $160 interest)

and $7400 at 10% (to get the shown 640 interest)

If x = 4000 then $80 interest is x2 again = $160

and so forth $320 interest x 2 again = $640

Step-by-step explanation:

The format would always be for x and then where

investment - x = interest we can work out totals this way and find x.

9000-x = 800 is first equation and substituted into 2nd equation;

0.10x+0.08(9000−x)=800

Use the distributive property to multiply 0.08 by 9000−x.

0.10x+720−0.08x=800

Combine 0.10x and -0.08x to get 0.02x.

0.02x + 720 = 800

Subtract 720 from both sides.

0.02x=800−720

Subtract 720 from 800 to get 80.

0.02x=80

Divide both sides by 0.02.

x= 80 / 0.02

Make decimals numbers = 1 or above.

80 / 0.02 x 100

x= 8000 / 2

x = 4000

3 0

3 years ago

Identify the equation in slope-intercept form for the line with the given slope that contains the given point. Slope =2; (1,4)

Elina [12.6K]

Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:

y=2x+b

Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).

4=2(1)+b

4=2+b

Subtract 2 from both sides.

2=b

The y-intercept is 2.

Now, plug that into the equation:

y=2x+2

The answer is y=2x+2.

I hope this helps :)

3 0

3 years ago

When given $12 then dividing 97 then adding 97 times 0

leonid [27]

12/97=.12
. 12 + 97×0=.12

7 0

4 years ago

In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they sp

Airida [17]

Answer:

$ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (6.55,8.15). And we can estimate the margin of error with this formula since the confidence interval is symmetrical:

$ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80$

3 0

3 years ago

Simplify (shown in photo) A: 2^1/6 B: 2^2/3 C: 2^5/6 D: 2^7/6

mihalych1998 [28]

Your answer would be C

(√2)(∛2)

( $\sqrt[6]{2^3}$ )( $\sqrt[6]{2^2}$ )

$\sqrt[6]{2^5}$ = $\sqrt[6]{32}$

If you do 2^5/6

$\sqrt[6]{2^5}$ = $\sqrt[6]{32}$

5 0

4 years ago