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3 years ago

Find the Volume of the prism

Mathematics

1 answer:

Strike441 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

volume=area *lenght

for area=2area of triangle +area of rectangle

a=2root(s(s-a)(s-b)(s-c))+7*4 {s is (a+b+c)/2 so s=(3+4+5)/2 finding 5 by pythagoras theorem so s=6}

a=2root(6(6-2)(6-4)(6-5))+28

a=2root48+28=41.85inch^2

now volume=41.86*5 given in fig height is 5

so v=209 inch^3

You might be interested in

a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours

Maru [420]

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

7 0

3 years ago

Help me with this problem!

Vanyuwa [196]

Answer:

a. 208.5 ft.

b. 144.9 ft.

Both correct to the nearest tenth.

Step-by-step explanation:

(a) sin 46 = 150 / h where h is the length of the wire.

h = 150/ sin 46

= 208.5 ft.

(b) tan 46 = 150 / x where x is the distance required.

x = 150 / tan 46

x = 144.9 ft.

7 0

3 years ago

What is the area of triangle DEF?

FrozenT [24]

Answer:

$A=2\sqrt{14}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

<em>Find the semi-perimeter s </em>

s= $\frac{5+6+3}{2}=7\ units$

Find the area of triangle

$A=\sqrt{7(7-5)(7-6)(7-3)}$

$A=\sqrt{7(2)(1)(4)}$

$A=\sqrt{56}\ units^2$

simplify

$A=2\sqrt{14}\ units^2$

3 0

3 years ago

The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b

ANEK [815]

Answer:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(63.6,2.5)$

Where $\mu=63.6$ and $\sigma=2.5$

We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We want this probability:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

4 0

4 years ago

How do you this. Explain if you can so I can learn thx

12345 [234]

Answer:

2 seconds

Step-by-step explanation:

Given

h = - 32t² + 64t

When the frisbee lands the height h = 0, that is

- 32t² + 64t = 0 ( multiply through by - 1 )

32t² - 64t = 0 ← factor out 32t from each term

32t(t - 2) = 0

Equate each factor to zero and solve for t

32t = 0 ⇒ t = 0

t - 2 = 0 ⇒ t = 2

t = 0 represents when the frisbee was thrown

and t = 2 when it lands

Hence it takes 2 seconds for the frisbee to land.

7 0

3 years ago