Find the surface area of the rectangular prism.
8 yd
4 yd
5 yd

Answer:

The given lines are parallel.

we already know that for parallel condition we apply;

m1=m2

1/2=0.5

0.5=0.5

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

Answer: [tex]y=\frac{3}{5} x+3[/tex]

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]

Now that we know the slope, we can plug in any point to find the y-intercept.

[tex]3=\frac{3}{5} (0)+b[/tex]            [multiply]

[tex]b=3[/tex]

Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].

Answer: YZ = 13

Point Y is between the points X and Z => XY + YZ = XZ

=> 3x - 4 + 2x + 3 = 24

<=> 5x - 1 = 24

<=> x = (24 + 1) : 5 = 5

with x = 5 => YZ = 2.5 + 3 = 13

Step-by-step explanation:

The length of segment YZ can be found using the segment addition

postulate that specifies the relationship between the segments.

Reasons:

The given location of point Y = Between points X and Z

Length of XY = 3·x - 4

Length of YZ = 2·x + 3

Length of XZ = 24

Required:

The length of YZ

Solution:

XY + YZ = XZ according to segment addition postulate

Therefore;

3·x - 4 + 2·x + 3 = 24

Which gives;

5·x - 1 = 24

5·x = 24 + 1

[tex]x = \dfrac{24 + 1}{5} = 5[/tex]

x = 5

YZ = 2·x + 3

Therefore;

YZ = 2 × 5 + 3 = 13

The numerical length of YZ is 13

Learn more here:

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Answer:

Step-by-step explanation:

7

Answer:

144 + 5 = 149

162 - 49 = 113

The truck cannot pass saftely under the bridge.

I hope this is helpful!

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

Answer: 7 2/3

Step-by-step explanation: got it wrong and it showed me the right answer on khan academy

The volume of the rectangular prism is 23/3 units³.

We need to find the volume of the following rectangular prism.

The formula to find the volume of the rectangular prism is Volume=l×b×h.

Now,

Height of the rectangular prism = 4/3 units

Area of one of the surfaces of the rectangular prism = 23/4 units²

The volume of the rectangular prism = 4/3 units × 23/4 units²

= 23/3 units³

Therefore, the volume of the rectangular prism is 23/3 units³.

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Answer:

P(a)=0.3

P(b)=0.23

P(a&b)=0.13

P(a|b)=0.57

Step-by-step explanation:

Girl can I say this was very hard to read try better next time

By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either

Let A be the probability of a student playing soccer and B be the probability of a student playing basketball

P(A)= 45/150

P(B)=35/150

P(A&B)=20/150

P(A|B)= 20/35

Answer:

The answer is A 10squareroot of 30

Step-by-step explanation:

hope that helps you

Step 1: We need to find the slope (or m) FIRST using slope formula*.

[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]

m = 3

Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.

[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]

b = 2

Step 3: Now we put it all together we get our equation in slope-intercept form**.

[tex]y = 3x + 2[/tex]

**Slope-intercept form: [tex]y = mx + b[/tex]

*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

Answer:

Mallory gets paid $20 for every 1 hour.

Step-by-step explanation:

You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20

ratio 1 hr./20 dollars

Answer:

Answered

Step-by-step explanation:

Answer:

well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6

Step-by-step explanation:

Answer:

0.66

Hope this helps!

Answer:

0.66

Step-by-step explanation:

Move the decimal twice to the left whenever you try to convert a percent to a decimal

C) reflection over the x-axis

Answer:

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

[tex]y=-5x-1[/tex]

The function has no undefined points nor domain constraints. Hence, the domain is

[tex]-\infty \:<x<\infty \:[/tex]

i.e.

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

[tex]-\infty \:<y<\infty \:[/tex]

i.e.

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

Answer:

2 1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

jjjj

Answer:

I am pretty sure its a... im doing the same thing and i am kinda thinking its that.

Step-by-step explanation:

Answer:

394 miles.

(its hard to explain but you need to spit 1356 and add 284 to one half)

Answer:

820

Step-by-step explanation:

Let us call the trip back x. The trip back is 284 miles smaller than the trip back, so our equation can be:

x + x + 284 = 1356

2x + 284 = 1356

2x = 1072

x = 536

The we do 536 + 284 because the trip there was 284 miles longer, so that is 820

Answer: 12.5

Step-by-step explanation:1.50*5=7.5

7.5-70=62.5

62.5 divided by 5 = 12.5

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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Answer:

[tex]\frac{n^{2}}{2a}[/tex]

Step-by-step explanation:

Answer:

(n^2)/2a

Step-by-step explanation:

We'll take this in small steps. Don't worry and follow along if you wish :D

Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.

Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:

(1 + 3)/4

This equation has to be broken down like this:

1/4 + 3/4

And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:

(x + y)/x

Then, it would work the same way as the previous example:

x/x + y/x

And that would further simplify to (1 + y/x).

But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:

(3*4)/4

We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.

First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:

(9an^3)/(18a^2n)

We would be left with...

9/18

And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:

(1an^3)/(2a^2n)

Or (an^3)/(2a^2n)

If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!

Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!

(an^3)/(2a^2n)

You can cancel out the variable a^ in this equation. That would leave you with:

(n^3)/(2an)

Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D

We can also reduce using n. That will leave:

(n^2)/2a

And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.

Good luck and keep studying!

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

Answer:

B is the answer

Step-by-step explanation:

Mark me as the brainliest,thank you

#Carryonlearning

Answer:

-14

explanation:

(16 ÷  4 )x 2)-(16 x 4 )÷ 2)

so 16 ÷ 4 is 4.

4x2 is 8

16x4 is 32

32 ÷ 2 is 16

2-16

-14

so basically its 14

if i got it wrong it can be 24