5x +60/x -15x +15/x-20​

Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

Answer:

$5150

Step-by-step explanation:

1700+0.15(23000)

$5150

Answer:

A. (x-4)(x-4)

Step-by-step explanation:

Note that (x+a)(x+b)=x²+(a+b)x+ab.

Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.

Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).

We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.

So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).

Answer:

4 root 10 is the first unit

Step-by-step explanation:

okey so step by step now

first put distace formula

then put values accordingly

you get,(12^2+4^2)keep in under root 2

[tex]\sqrt{160\\[/tex]

solve it ur answer is[tex]\sqrt[4]{10}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

It should be 4.25.

Answer:

Triangle 2: 7, 24 and 25.

Step-by-step explanation:

To find the triangle with its dimensions being that of a right angle triangle;

We would have to apply Pythagorean' theorem.

Let the length of sides of the triangle be;

Opposite side = a

Adjacent side = b

Hypotenuse side = c

From Pythagorean theorem;

c² = a² + b²

When a = 7, b = 24 and c = 25

25² = 7² + 24²

625 = 49 + 576

625 = 625

This ultimately implies that, the square of the hypotenuse of a right angle triangle is equal to the sum of the square of its opposite and adjacent sides according to Pythagorean' theorem.

Answer:

(a) and (e)

Step-by-step explanation:

Given

[tex]d = 14cm[/tex]

Required

Select the true statements

First, is a statement about the area.

The area is calculated as:

[tex]Area= \pi*\frac{d^2}{4}[/tex]

So, we have:

[tex]Area= 3.14*\frac{14^2}{4}[/tex]

[tex]Area= 3.14*49[/tex]

(a) is true

Next, is a statement about the circumference.

This is calculated as:

[tex]C = \pi d[/tex]

So, we have:

[tex]C = 3.14 * 14[/tex]

(e) is true

Answer:

you did not post a question?

Step-by-step explanation:

Answer:

Actual height of church = 512 feet

Step-by-step explanation:

Given:

Scale model;

1 inch = 256 feet

Height of church (Scale model) = 2 inches

Find:

Actual height of church

Computation:

Actual height of church = Height of church (Scale model) x scale length

Actual height of church = 2 inches x 256 feet/inches

Actual height of church = 2 x 256 feet

Actual height of church = 512 feet

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

Since all the sides of a square are equal, hence;

5x-2 = x+10

Collect like terms

5x-x = 10+2

4x =12

X = 12/4

X =3

Hence the value of x is 3

Answer:

513

Step-by-step explanation:

B×L=Area

Base=24

Length =19

24×19=513

Answer:

Third one

Step-by-step explanation:

;b

Answer:

a. the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4

Step-by-step explanation:

See attached image.

Step-by-step explanation:

There are a total of 4 numbers to pick.

P(9) means is the probability of you picking the number 9.

Since you are only picking one number, the probability will be 1/4 or 0.25

Answer:

The answer for this question is:

About 566 lemings

Step-by-step explanation:

Answer:

A.about 566

Step-by-step explanation:

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

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Answer:

i think that the correct answer is 12 for the least common denominator

Answer:

C. 2+2(0.4)

Step-by-step explanation:

on edg.

To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.

Answer:

third one 2538

Step-by-step explanation:

Answer: 9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

9^(x -3) = 729

as ...

9^(x -3) = 9^3 . . . . . . matches the second selection

__

Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

(3^2)^(x -3) = (3^2)^3

3^(2x-6) = 3^6

or, taking the square root, ...

3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

x -3 = 3

x = 6

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

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