The triangular prism has a length of 40 centimeters, an end base of 5 centimeters, and an end height of 7 centimeters. What is the volume of this prism?

1. Open the GeoGebra link.

2. Select the triangle shape, or draw a triangle by combining line segments.

3. The application will also have a tool to measure the angles.

4. Measure all 3 angles.

5. Note them down in the assignment.

Click on the instructions hyperlink for detailed information.

Answer:

1

Step-by-step explanation:

To do this, we can first look at each factor of each number.

For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²

For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.

The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF

Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1

9514 1404 393

Answer:

  (a)  1/12

Step-by-step explanation:

The difference of adjacent terms is ...

  1/4 -1/6 = 3/12 -2/12 = 1/12

Answer:

0.19

Step-by-step explanation:

Total marbles=22

P(2 yellow marbles) = (10/22)(9/21)=0.19

Answer:

Bro what to do in this question. Hope you understand me

Answer:

I have explained the answer in detailed steps for you. If you do not understand any steps, please comment below, and I will help you out.

Answer:

4 nickels

12 dimes    

Step-by-step explanation:

Dimes are worth .1 each while nickels are .05 each.

We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.

If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4

Lets put our equations together:

d=8+n

.1d+.05n=1.4

‐-----------------Plug first equation into second.

.1(8+n)+.05n=1.4

Distribute

.8+.1n+.05n=1.4

Combine like terms

.8+.15n=1.4

Subtract .8 on both sides

.15n=.6

Divide both sides by .15

n=.6/.15=4

Remember there are 8 more dimes so d=8+4=12.

Answer:

42 cm

Step-by-step explanation:

104/8 = 13

13 + 13 + 8 + 8 = 42 cm

Hi

two lines are parallel only if they have the same slope.

So :  3x+4y = 12

         4y = 12 -3x

           y =  12/4 - 3x/4

           y =   3 - 3/4 X

          y =   -3/4 X +3

Slope is   -3/4

and   6x+2y = 6

               2y = 6 -6x

                  y =  6/2 - 6x/2

                 y =   3 - 3X

                 y =  -3X +3

Slope is = -3

As  -3/4 ≠ -3  then   the two lines are not parallel.

Answer: 7

Concept:

When encountering questions that ask for simplifying operation expressions, the order of operation would be following the PEMDAS method:

Solve:

Given expression

3 (2 - 5) + 4 (6 - 2)

Simplify values in the parentheses

=3 (-3) + 4 (4)

Simplify by multiplication

=-9 + 16

Simplify by addition

=[tex]\boxed{7}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3(2 - 5) + 4(6 - 2)

By using the order of operations,

3(2 - 5) + 4(6 - 2)

3(-3)+4(4)

-9+16

7

I hope it helped U

stay safe stay happy

Answer: $120

First, create a function

[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]

Therefore, the function is y = 5x + 20

To find the amount of money at week 20, set x = 20 and solve:

[tex]y=5(20)+20=100+20=120[/tex]

Therefore, the answer is $120.

Answer:

24.1 is a possibility for the perimeter

Step-by-step explanation:

The third side between 12+0.5 and 12-0.5, or 12.5 and 11.5.

The third side is between 11.5 and 12.5.

Simce it isn't isosceles third side can't be 12.

So it's asking you to choose a number between 11.5 and 12.5 with the exclusiion of 12 for the third side measurement in meters.

So let's choose 11.6.

So the perimeter is just the sum of all side measurements.

11.6+12+0.5

11.6+0.5+12

12.1+12

24.1

24.1 is a possibility for the perimeter

Answer:

6-2x

Step-by-step explanation:

six less than (subtraction) twice a number. 2 times a number x

Answer:

Step-by-step explanation:

x²+4xy+4y²-8x-16y-20=(x+2y)²-8(x+2y)-20

put x+y=t

t²-8t-20=t²-10t+2t-20=t(t-10)+2(t-10)=(t-10)(t+2)

substitute the value of t

x²-4xy+4y²-8x-16y-20=(x+2y-10)(x+2y+2)

i don't know what else you want.

Answer:

b) 27

Step-by-step explanation:

sum of angles in triangle = 180

a + 63 + 90 = 180

a = 27

Answer:

27 degrees

Step-by-step explanation:

since angle B is 68 and you know that angle c is a right angle it is 90. so yhu take 90 and 63 and add them together and subtract that number from 180 and you find angle A

Answer:

C

Step-by-step explanation:

degree 1 ( linear function

Answer:

Hello

Step-by-step explanation:

Al' Kashi theorem:

189²=123²+215²-2*123²215²cos(P)

cos(P)=(123²+215²-189²)/(2*123*215)=0.48464...

P=61.01062...°≈61.01°

Answer:

trueeeeeeeeeeeeeeeeeee

Answer:

x=(3e+2d)/(2g-ef)

Step-by-step explanation:

d=e(3+fx)/(2+gx)

or, 2d+2gx=3e+efx

or, 2gx-efx=3e+2d

or, x(2g-ef)=3e+2d

or, x=(3e+2d)/(2g-ef)

Answer:

x = (-2d + 3e) / (dg - fe)

Step-by-step explanation:

We solve it by using algebra.

1. Multiply each side by 2 + gx:

dgx + 2d = fxe + 3e

2. Subtract fxe on both sides:

dgx − fxe + 2d = 3e

3. Subtract 2d from both sides:

dgx − fxe = −2d + 3e

4. Factor out x:

x (dg − fe) = −2d + 3e

5. Divide dg - fe:

x = (-2d + 3e) / (dg - fe)

I hope this helped! :D

Send the question?

Must click thanks and mark brainliest

Answer:

Answer is 3

Step-by-step explanation:

[tex] \frac{ \sqrt{144} }{ \sqrt[5]{243} } - 5 + 16 \div \sqrt[3]{64} \\ = \frac{12}{3} - 5 + (16 \div 4) \\ \\ = 4 - 5 + 4 \\ = 3[/tex]

Answer:

3

Step-by-step explanation:

step by step explaination is in picture

First they lost 1 yard which would be written as -1

Next they let 2 yards which is written as -2

Now add them together: -1 + -2 = -3

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

Answer:

3

Step-by-step explanation:

Answer:

$3 per guest

Step-by-step explanation:

18/6

= 3

Answer:

it's 200

Step-by-step explanation:

it is rounded to 200 because the last two digit which are 62 should be 50 or above.