3. Mr. Pau has
some clay with a mass
of 24 kilograms. If he puts the same
amount of clay into 6 bags, how
many grams of clay are in each bag?
A 4,000 grams
1,440 grams
© 144 grams
0 400 grams

Given:

Height of a triangular prism = 6 inches

Legs of right triangular base are 9 inches and 12 inches.

To find:

The lateral surface area of a triangular prism.

Solution:

According to the Pythagoras theorem:

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]

[tex]Hypotenuse^2=81+144[/tex]

[tex]Hypotenuse^2=225[/tex]

Taking square root on both sides, we get

[tex]Hypotenuse=\sqrt{225}[/tex]

[tex]Hypotenuse=15[/tex]

Now, the lateral surface area of a triangular prism.

[tex]A=Ph[/tex]

Where, P is the perimeter of the base and h is the height of the prism.

[tex]A=(9+12+15)\times 6[/tex]

[tex]A=(36)\times 6[/tex]

[tex]A=216[/tex]

Therefore, the  lateral surface area of a triangular prism is 216 square inches.

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

Answer:

x=2, y= 4

Step-by-step explanation:

Equation 1 is 2x-4y = -12

Equation 2 is 2x+y = 8

Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).

Simplifying we get -5y = -20 and y =4

Substituting y =4 into original equation back we get 2x -4(4) =-12

This equals 2x -16 =-12 and 2x = 4 and x =2

Answer:

120 inches of strands

Step-by-step explanation:

finding the diagonal

=[tex]\sqrt{(100+576)}[/tex]

= 26 inches

perimeter of the window = 2(10+24)

                                         = 68 inches

  total strands needed to be purchased = [(2×26)+68] inches

                                                                   = 120 inches of strands

Answer:

You were right the correct option is

- a > - b

Answer:

5x>60

x>60/5

x>12

number line

hope it helps.

Answer:

Train A is travelling at a speed of 12.857 miles per hour and train B at a speed of 9.643 miles per hour.

Step-by-step explanation:

Let suppose that train A begins in position [tex]x = 0\,mi[/tex] and the train B in position [tex]x = 1.5\,mi[/tex], if [tex]v_{B} = \frac{3}{4}\cdot v_{A}[/tex] and both trains move at constant speed, then we have  the following kinematic equations:

Train A

[tex]x_{A} = x_{A,o}+v_{A}\cdot t[/tex] (1)

Train B

[tex]x_{B} = x_{B,o}-v_{B}\cdot t[/tex] (2)

If both trains meet each other, then [tex]x_{A} = x_{B}[/tex]. If we know that [tex]x_{A,o} = 0\,mi[/tex], [tex]x_{B,o} = 1.5\,mi[/tex], [tex]v_{B} = \frac{3}{4}\cdot v_{A}[/tex] and [tex]t = \frac{1}{15}\,h[/tex], then we have the following expression:

[tex]x_{A,o}+v_{A}\cdot t = x_{B,o}-v_{B}\cdot t[/tex]

[tex]x_{A,o} + v_{A}\cdot t = x_{B,o} - \frac{3}{4}\cdot v_{A}\cdot t[/tex]

[tex]\frac{7}{4}\cdot v_{A}\cdot t = x_{B,o}-x_{A,o}[/tex]

[tex]v_{A} = \frac{4\cdot (x_{B,o}-x_{A,o})}{7\cdot t}[/tex]

[tex]v_{A} = 12.857\,\frac{mi}{h}[/tex]

Then, the speed of the train B is:

[tex]v_{B} = 9.643\,\frac{mi}{h}[/tex]

Train A is travelling at a speed of 12.857 miles per hour and train B at a speed of 9.643 miles per hour.

Answer: I have been asked the same question I believe that it is obtuse and isosceles.

Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.

This angle is isosceles as well as obtuse.

What is an isosceles triangle?

Isosceles triangle is a triangle that has two equal sides.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.

As this triangle has two congruent side, it is an isosceles triangle.

Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.

Hence, for this triangle, B. Isosceles C. Obtuse both apply.

Learn more about isosceles and obtuse-angled triangle here: https://brainly.com/question/9872652

#Tag #SPJ2

Volume without holes = 3 x 6 x 11 = 198 cubic inches.

Calculate volume of one hole:

3.14 x 0.5^2 x 3 = 2.355 cubic inches

There are 3 holes: 3 x 2.355 = 7.065

Subtract volume of the holes from the brick:

198 - 7.065 = 190.935 cubic inches.

Rounded to the nearest tenth: 190.9 cubic inches.

Answer:

190.9 inches^3

Step-by-step explanation:

First of all we have to find the total volume:

V = dimension 1 x dimension 2 x dimension 3

V = 3 x 6 x 11 = 198 inches^3

now we have to find the volume of the cylinders:

V= radius^2 x pi x height = 0.5^2 x 3.14 x 3 = 2.355 inches^3

the cylinders are three so:

V = 2.355 x 3 = 7.065 inches^3

at least we have to subtract this value at the total volume:

V= 198 - 7.065 = 190.935 = 190.9 inches^3

Answer:

600 minutes

Step-by-step explanation:

60 minutes in an hour

60 × 10 is 600

Answer:

1/3

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur

Probability = Expected/Total outcome

Since the experiment requires rolling a dice

S = {1, 2, 3, 4, 5, 6}

Total outcome n(S) = 6

Number greater than 4 are;

Events E = {5,6}

Expected outcome n(E) = 2

Probability of rolling a number greater then 4 = 2/6

Probability of rolling a number greater then 4 = 1/3

Answer:

$57,000

Step-by-step explanation:

Answer:

the value of x = -3

Step-by-step explanation:

10 (x-5) = -80

10x - 50 = -80

10x = -30

x = -3

CHECK:

10 ( -3 - 5) = -80

10 (-8) = -80

-80 = -80

Answer:

Aaaaa

Step-by-step explanation:

sick

Answer: Dude what are you trying to ask?

Step-by-step explanation:

Answer:

√53

Step-by-step explanation:

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x1 = -5

x2 = -3

y1 = 6

y2 = - 1

Solution

d = sqrt( ( -3 - -5)^2 + (-1 - 6)^2 )

d = sqrt( ( -3 + 5)^2 + (-7)^2 )

d = sqrt( 2^2 + 49)

d = sqrt(4 + 49)

d = sqrt(53)

Answer:

71.43%

Step-by-step explanation:

2500/35 = 71.43

Aranibar's savings went up by 71.43%

Answer:

= 1/26

Step-by-step explanation:

Use Division Distributive Property:

(x/y)^a = x^a/y^a

(^, That means to the power of exponents.)

Then you Simplify  6^3 to 216

Then you will get 1 over 216.

Answer:

1

x=75(vertically opposite angle

2

x+60=180(straight angle

×=180-60

×=120

3

×+55=180(co-interior angle

×=180-55

×=125

4

×=113(alternate angle

5

x=89(corresponding angle

6

x=98(exterior alternate angle

7

×=90(alternate angle

8

×=130(alternate angle

Answer:

hi

Step-by-step explanation:

whatup its bruce i am still deeply in love with you

Answer:

A ≈ 132.73

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer:

I believe it has infinite solutions

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helps : )

hope this helps you out good luck with your math

Answer:

The distance between the points is 9.219544457292887

Step-by-step explanation:

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866