What is the volume of this triangular prism?

Answer:

Step-by-step explanation:

Surface area of rectangular prism:

length = l = 20 in

width = w = 12 in

height = h = 5 in

[tex]\boxed{\text{surface area of rectangular prism = 2*[lw + wh + hl]}}[/tex]

                                              = 2* [ 20*12 + 12*5 + 5*20]

                                              = 2* [240 + 60 + 100]

                                               = 2 * 400

                                               = 800 in²

Answer:

Answer:

The cross product is 47 i - 61 j + 17 k.

Step-by-step explanation:

Given that-

a = < -1, -3, -8 > , b = < 7, 4, -5 >

The cross product is

a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤

        = i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )

        = i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )

        = i ( 47) - j (61 ) + k (17)

        = 47 i -61 j + 17 k

As we know that if two vectors A & B are perpendicular then

A . B = 0

So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .

Step-by-step explanation:

47, -61, 71>; yes

Answer:

x=4, y=9

Step-by-step explanation:

Solve with substitution.

The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as [tex]x^3, 3x \: \rm and \: 5[/tex]

Cheking all the options for them being in standard form or not:

Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.

4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).

Thus, this polynomial is in standard form.

Not in standard form because the last term has bigger power then the term on its left.

Not in standard form because the last term has bigger power then the term on its left.

Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

Answer:

[tex] {x}^{2} = {8.6}^{2} + {11.5}^{2} \\ {x}^{2} = 73.96 + 132.25 \\ x = \sqrt{206.21} \\ x = 14.185 \\ x = 14.19[/tex]

14.19

Answer:

If I am correct to work out the surface area you need to do base times height so the calculation would be...

32(base) × 30(height)

which equals 960 square inches

Please do check with someone else the answer, as I am not that confident and new

Answer:

$1540.80

Step-by-step explanation:

Answer: 1540.80

Step-by-step explanation: i got it right on my ixl

Answer:

midine y=2

amplitude -3

period 5pie

Answer:

g(x) = 4x + 5

Step-by-step explanation:

f(x) + g(x) = 10x + 7 , then

6x + 2 + g(x) = 10x + 7 ← subtract 6x + 2 from both sides

g(x) = 10x + 7 - 6x - 2 ← collect like terms

g(x) = 4x + 5

Let's find

Option D

Answer:

No.

Step-by-step explanation:

No, because the 9th decitile is equal to the 90th decitile, and so that means that you're tall.

Answer:

- The inequality translated in numerical form

Step-by-step explanation:

Answer:

$3,312.69

Step-by-step explanation:

What she started with: $1500

Year 1: 1500 + 1500(.05) + 500 = $2,075

Year 2: (2.075)1.05 + 500 = $2,678.75

Year 3: (2678.75)1.05 + 500 = $3,312.69

Answer: [tex]560m^2[/tex]

Step-by-step explanation:

First begin by finding the surface area of the base, which is simply length * width. In this case,

[tex]14*14 = 196 m^2[/tex]

Next, find the surface area of one of the sides of the pyramid. This formula for this is:

[tex]\frac{1}{2}*base*height[/tex]

Since we know the height to be 13 meters and the base to be 14 meters, we can solve for one side.

[tex]\frac{1}{2}*14*13 = 91 m^2[/tex]

We multiply this by 4 to give us all 4 sides of the pyramid:

[tex]91m^2 * 4 = 364m^2[/tex]

Adding together the surface area of the sides and the base gives us:

[tex]196m^2 + 364m^2=560m^2[/tex]

Answer:

I think it is 12 4/5

Step-by-step explanation:

hope this helps if not let me now

Use the Distributive Property, which states the following:-

[tex]\sf{a(b+c)=ab+ac}[/tex]

Where

we distribute a by multiplying it times b and c

a, b, and c can be either constants (numbers) or variables (letters)

Distribute:-

[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]

Multiply the term before the parentheses by the terms inside the parentheses:-

[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

210

Step-by-step explanation:

There are 7 choices for president.

Then there are 6 choices for vice-president.

Finally, there are 5 choices for treasurer.

7 × 6 × 5 = 210

Answer:

ummmm i think its B and D

Step-by-step explanation:

Answer:

$891

Step-by-step explanation:

This is Your Answer: $891, Steps below

Answer:

m3 and m4 are supplementary

Step-by-step explanation:

since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below

Answer:

C. 400

Step-by-step explanation:

The number 14752 is  "Fourteen thousand, seven hundred and fifty two"

The 1 is the place of ten thousands ⇒ 10,000

The 4 is the place of thousands ⇒ 4,000

The 7 is the place of hundreds ⇒ 700

The 5 is the place of tens ⇒ 50

The 2 is the place of units  ⇒ 2

So we need to find how many groups of tens are in 4000.

To do this, divide 4000 by 10.

To divide anything by 10, simply move the decimal point one place to the left.

Therefore, there are 400 groups of ten in 4000

as 400 × 10 = 4000

Step-by-step explanation:

- The distance traveled to get to the top of the hill will be equal to the distance traveled to get to the bottom of the hill. Distance down the hill = Distance up the hill = 187.5 meters.

- Only the speed of going up the hill and down the hill will be different.

Answer:

88

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height here is 11 and the base is 16

1/2*16*11 = 88 units square

➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.

We know that,

Sum of all interior angles of a triangle = 180°.

[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°

[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°

So, the measure of [tex]\angle[/tex]ACB = 70°.

➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.

As we know that,

Sum of any two or more angles that lie on a straight line = 180°.

So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.

Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.

____________________________

Hope it helps you:)

Step-by-step explanation:

side of square = 10

area of square = side² = 10² = 100 cm²

P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Unitary method ~

[tex]\qquad \sf  \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]

So, the rate per hour is 32 bagels ~

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = 480\: bagels[/tex]

So, they can prepare 480 bagels in 15 hours

Answer:

480 bagels

Step-by-step explanation:

320 bagels in 10 hours.

⇒ 320 bagels = 10 hours

Divide 10 both sides to find the rate per hour:

⇒ 320/10 bagels = 10/10 hours

⇒ 32 bagels = 1 hours

Multiply 15 both sides to find the number of bagels in 15 hours

⇒ 32 bagels = 1 hours

⇒ 32 x 15 bagels = 1 x 15 hours

⇒ 480 bagels = 15 hours

Answer:

it should be A i think

Step-by-step explanation:

i used a calculator

Answer:

Take lcm and see

Step-by-step explanation:

5/27 ;4/15 ;7/18