The prism shown has a volume of 798 cm3.
a l of 9.5 and a width of 8


What is the height of the prism?
8.6 cm
10.5 cm
17.5 cm
45.6 cm

Answer:

150.94 or 151 ft

Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))".

Answer:

To find the complement of an angle x, subtract x's measurement from 90 degrees: 90 degrees - x degrees = the measure of x's complementary angle. To find the supplement of an angle y, subtract y's measurement from 180 degrees: 180 degrees - y degrees = the measure of y's supplementary angle.

Step-by-step explanation:

Answer:

number of boys who walk to school = 16

Step-by-step explanation:

Chart:

Sudents | Walk | Ride | Total

Girls       | 22     | 29    | 51

Boys      | x        | 9      | 25

Total     | x+22  | 38    | 76

Answer:

Its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

Answer:

22.36

Step-by-step explanation:

For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,

→ a² + b² = c²

⇒ Substitute in the values

→ 20² + b² = 30²

⇒ Simplify

→ 400 + b² = 900

⇒ Minus 400 from both sides to isolate b²

→ b² = 500

⇒ Square root both sides to find the value of the leg

→ b = 22.360679775 cm

The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.

Answer: d=  negative 3.03

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6.5ft I'm sure that's the answer

Answer:

+30 +-25

Savings is positive

Buying is negative

Step-by-step explanation:

+30 saved

-25 to buy

+30 +-25

Savings is positive

Buying is negative

Answer:48

Step-by-step explanation:

6*8 shows the c9nbonations of just then 2 together

Answer: A

Step-by-step explanation:

The diameter of the bacterium is 10 times greater than that of the virus.

The statement that accurately and precisely compares the sizes of the specimens can be seen in the first option.

A Superscript is used for the representation of a power at which a number is being raised to. In essence, if we have [tex]a^n[/tex];

From the given information;

We should note that as the exponent increase by -1, it takes an addition [tex] \mathbf{\dfrac{1}{10}=10^{-1}} [/tex]

Therefore, we can say that the diameter of the bacterium is 10 times greater than that of the virus.

Learn more about superscript here:

https://brainly.com/question/14346052

Answer: 1/4 + x = 2/3

Step-by-step explanation:

One fourth is written as 1/4, more than is an addition sign, a number means “x”, is equal means = (equal sign), and two thirds is written as 2/3

Answer:

[tex]x + \frac{1}{4} = \frac{2}{3}[/tex]

Step-by-step explanation:

The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:

Let the number be x.

Therefore, One-fourth more than a number = [tex]x + \frac{1}{4}[/tex]

Now,

[tex]\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}[/tex]

This is the required answer.

Step-by-step explanation:

Basically 15x<30 is saying that 15x is less that 30. So that means x can be any number as long as when multiplied to 15 it has to be less then 30. So they only number available is 1. So 15(1)<30. Im not sure what the question is but X=1

Answer:

x < 2 or (-∞,2)

Step-by-step explanation:

Treat the inequality sign like an = sign at this point. Don't make it more complicated than it really is. So, to figure it out, you first need to divide each side by 15 so you can get x all by itself:

[tex]\frac{15x}{15} < \frac{30}{15}[/tex]

Now we have:

x < [tex]\frac{30}{15}[/tex]

We know (using simple math) that 30 divided by 15 is 2, which gives us:

x < 2.

In interval notation, this would be (-∞,2). [Remember that the parentheses show that the interval does NOT include the specified numbers, which is what < denotes in our equation.] Hope this helped!

Answer:

D

Step-by-step explanation:

r = 5 units

[tex]Volume=\frac{4}{3}\pi r^{3}\\\\ =\frac{4}{3}\pi (5)^{3}\\[/tex]

Answer:

A box and whisker map is a diagram that shows details from a five-part description. It is also called a boxplot. There was an mistake. This form of diagram demonstrates the structure, core importance and volatility of the distribution.

Step-by-step explanation:

Hope this helps

Answer:

3

Step-by-step explanation:

Parallel lines have equal slopes, thus

line AB is parallel to line CD

1. I'm not completely sure, but these angles seem to be complementary, meaning they add up to 90°. Since 75° + x = 90°, x = 15°.

2. These lines seem to be parallel. ∠4 ≅ ∠1 because they are vertical angles, ∠5 ≅ ∠1 because they are corresponding angles, and because ∠8 ≅ ∠4 (corresponding angles), ∠8 ≅ ∠1 as well. The final answer is ∠4, ∠5, and ∠8. Hope this helps!

Look at the attached picture

Hope it will be helpful to you....

Good luck on your assignment

~pragya

Answer:

ugh man do I hate iready!!

225/4=56.25

square root of 225 equals 15

225 / 2 equals 112.5

Answer: it’s find the positive square root of 225: I did iReady

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

0.1*50=5

Answer:

$5

Step-by-step explanation:

50 x 0.1 = 5

Step-by-step explanation:

8 - 3 = 5

you can write any two numbers that also equal to 5.

6-1 = 5

200 - 195 = 5

4 - (-1) = 5

9000 - 8995 = 5

Answer:

1000cm^3

Step-by-step explanation:

capacity=base area times height, convert litres to cm^3,1000cm^3=1l,equate Base area=capacity/height (70000/70)=1000

Answer:

2

Step-by-step explanation:

7x - 2x = 13 - 3

5x = 10

x = 2

Answer:

Start by subtracting 2x from both sides

5x + 3 = 13

then subrtact 3 from both sides

5x = 10

divide both sides by 5 and you get

x=2

Answer:

which one is the one u need help on

Answer:

1)Horizontal

2)y-coordinates

3)|-1|+|5|

4)6 units

Step-by-step explanation:

Hope this helps :)

The  distance between (-1, 4) and (5, 4) is 6 units.

The given Coordinate points are (-1, 4) and (5, 4).

The points are considered as (x1,y1) and (x2,y2).

Here,

x1 = -1 and x2 = 5

y1 = 4 and y2 = 4

Now

[tex]Distance = \sqrt{(x2 - x1)^2 - (y2- y1)^2\\\\= \sqrt{(5 +1)^2 - (4 - 4)^2} }\\\\= \sqrt{36}[/tex]

= 6

Learn more: https://brainly.com/question/25914450?referrer=searchResults

Answer:

im pretty sure its C (2/3, 0) actually

Answer:

4th choice

Step-by-step explanation:

Volume of cylinder: 2(pi)r^2+2pi(r)h

Answer:

The last one

Step-by-step explanation:

SA

=

2

π

r

h

+

2

π

r

2

Answer:

Hi there!

The correct answer is: (0,1) maximum

Step-by-step explanation:

vertex: the point where the parabola crosses its axis of symmetry.

when the graph is concave down, maximum

when the graph is concave up, minimum

Answer:

Coordinates of the vertex: (0, 1), and it is a maximum.

this corresponds to the second of the listed answer options.

Step-by-step explanation:

Notice that the vertex of the parabola is at the very top of the curve, and corresponds to the maximum value that the coordinate "y" can reach for the parabola (y = 1)

The position of that vertex is exactly at the point where x = 0 and y = 1, so this can be written as:

(0, 1)

Answer: V ≈ 4309.5 ft³

Step-by-step explanation: To get the answer to this word problem all we have to do is multiply height * thickness * width.

First, let's turn 6 [tex]\frac{1}{2}[/tex] into a decimal...

1 ÷ 2 = 0.5

6 [tex]\frac{1}{2}[/tex] = 6.5

6.5 * 3 * 13 = 253.5

Now, we have to multiply it by the remaining amount of stones...

253.5 * 17 = 4309.5

V ≈ 4309.5

I hope this helps!

Answer:

[tex]y = - \frac{5}{3} x + 12[/tex]

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

[tex]y = \frac{3}{5} x - \frac{8}{5} [/tex]

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= [tex] - \frac{5}{3} [/tex]

[tex]y = - \frac{5}{3} x + c[/tex]

To find the value of c, substitute a coordinate.

When x=3, y=7,

[tex]7 = - \frac{5}{3} (3) + c[/tex]

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is [tex]y = - \frac{5}{3} x + 12[/tex].