A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216 cm3.
What is the area of the base of the pencil holder in square centimeters?

train A speed = 95 mph

train B speed = 105 mph

they are travelling towards each other

so effective speed = 200 mph.

distance = 360 miles

t= d/r

t=360/200

time = 1.8 hours they will meet

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

Step-by-step explanation:

I have included a drawing of the triangle.

we can use Pythagoreans theorem.

a^2+b^2=c^2

So,

(4x)^2+(3x)^2=75^2

16x^2+9x^2= 5,625

we can add like terms.

25x^2 = 5,625

25 25

x^2 = 225

Square root both sides.

x = 15

so, leg of 4x is

4(15)= 60 m

leg of 3x

3(15)= 45 m

Hope this helps!

Answer:

The chance of getting a pair of black socks is 73.33%

Answer:

The triangles are not similar.

Step-by-step explanation:

Look at ratios of corresponding sides. If the triangles are similar, all the ratios will be equal.

Compare a side from [tex]\triangle{RTS}[/tex] with a side from [tex]\triangle{MQP}[/tex].

16/20 = 4/5

12/15 = 4/5  (looks promising, so far!)

20/26 = 10/13   Not at all the same as 4/5, so the triangles are not similar.

Answer:

D

Step-by-step explanation:

because both are x and y and they can be any number so no matter what the number is it will equal 4 and 2.

Answer:

4,112 yards

Step-by-step explanation:

because I said so

Answer:

65.12 ft^2

Step-by-step explanation:

Patio's area = area of trapezoid + area of semicircle

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

1/2 x ( 12 + 8) x 4 = 40 ft^2

Area of semicircle =  (1/2)πr²

r = 8/2 = 4ft

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(1/2) x 3.14 x 4^2 = 25.12 ft^2

Area of patio = 40 ft^2 +  25.12 ft^2  = 65.12 ft^2

t = 40

25.12

Answer:

24-6-9-2-3+2+2-3 = 5

Step-by-step explanation:

I hope this helps!

Answer:

80-4(2)=72; 80-4(x) if he got x wrong.

Answer:

1

Step-by-step explanation:

37 is prime

Answer:

1

Step-by-step explanation:

37 is prime so 1 is the only gcf

Answer:

A

Step-by-step explanation:

We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.

Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.

Answer:

The answer is 95 in^2

Step-by-step explanation:

The lawn is made up of 5 congruent triangles.

Since we know the area of the triangles we can add or multiply them.

5 * 19 = 95 so the area is 95 in^2

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

3x+6-[-5]+7x

=3x+6+5+7x

= 3x+7x=6+5

=10x=11

=x=11/10

SO,

x=11/10

Answer:

4x+11

Step-by-step explanation:

-3x+7x +6+5

4x+11

Answer:

Did you know that whales only use 10% of there sperm when mating the rest is wasted and a whale can have up to 400 L of sperm when mating

Answer:

135 units²

Step-by-step explanation:

height = √17²-8²=√289-64=√225=15

area = 9×15 = 135 units²

I try it

Answer:

28.36

Step-by-step explanation:

Perimeter = 45

Perimeter = 2x + 3 + x + 6x + 1

2x + 3 + x + 6x + 1 = 45

9x + 4 = 45

9x = 45 - 4

9x = 41

X = 41/9

X = 4.56 or 4.6 (base on how may decimal places)

Hypotenuse

=6x + 1

= 6(4.56) +1

=38.36

Or

Hypotenuse

=6x +1

= 6(4.6) +1

=28.6

Answer:

49.923%

Step-by-step explanation:

Good Luck :D

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Answer:

1.

Volume= 729cm^3

Height= 9cm^2

Area of Base= 81cm^2

2.

Volume=450m^3

Height= 3m^2

Area of Base=150m^2

3.

Volume= 480 cm^2

Area of base=75cm^2

Height= 8cm^2

4.

Volume =120in^3

Area of Base=20in^2

Height= 6in^2

Step-by-step explanation:

Volume = (length) Times (Width) Times (Height)

Area os base = (Length) Times (width)

Answer:

Grade 8 Worktext-Science Quarter 3

Answer: y= |x-1|+3

Step-by-step explanation:

again lol used desmos graphing it’s 3 high so that +3 at the end and -1 to bring it to the side i’m bad at explaining

Answer:

Choice A, x=1

Step-by-step explanation:

So, to start, there's two routes that you can take there. I am going to show one of these routes.

Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.

The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.

With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.

Since they are congruent, they are equal and we can just set them equal to each other.

Starting With:

3x+1 = x+3

Step 1) Cancel out the +1

3x+1 -1 = x+3 -1

3x = x+2

Step 2) Cancel out the x

3x -x = x+2 -x

2x = 2

Step 3) Divide by 2 get x by itself

2x/2 = 2/2

x=1

All done!

Answer:

10

10

Step-by-step explanation:

One fifth of fifty is 10.

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86