The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Answer:

Answer:

86 degrees

Step-by-step explanation:

The angles of a triangle all add up to 180.

x is 45 degrees

y is 49 degrees

49 + 45 = 94

180 - 94 = 86

The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86

Answer: 4

Step-by-step explanation:

Answer:

24 Letters and 4 Postcards

Step-by-step explanation:

We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".

Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.

The second equation is the total sent: x + y =28.

Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.

We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.

If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.

Subtract 9.24 from both sides to get: 0.16y = 3.84

Divide both sides by 0.16 to get: y = 24.

Now we can plug this into x + y = 28 to see that x= 4.

You could make sure this is correct by solving for x instead of y and do the same process.

Hope this helps.

Let's assume that all hours she worked were the first 35 hours of the week.

She would've made £22.80 x 35 = £798

So, she would've made 981.54 - 798 = 183.54 less than the actual amount

She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.

So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours

So in total, she worked for 35 + 7 = 42(hours).

Answer:

42 hours

We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.

981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.

and 35 plus 7 = 42 :)

Answer:

1. 32

2. 47

3. See explanation for number 3 below

Step-by-step explanation:

All you have to do is simply add 17 to however old Titus is. So if he's 15 years old, you just simply have to do 15+17, which is 32. For number 3, I'm assuming that they just want an explanation for how you do this process, in which case, this explanation is the answer to number 3. If that's not what they're looking for in number 3, then I'm sorry. But I'm pretty sure that's what they want there.

Answer:

D

Step-by-step explanation:

1/2 hour -> 1/3 pool

multiply this by 2

1 hour -> 2/3 pool

so D 2/3 pool

The fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.

A constant rate can be described as a quantity that changes steadlity over time.

The rate that the pool gets filled is given as:

1/2 hr = 1/3 of the water that would be filled in the pool

1 hr would be: 1/3 × 2 = 2/3

Therefore, the fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.

Learn more about rate on:

https://brainly.com/question/25184007

Answer:

g=118 degrees h=62 degrees

Step-by-step explanation:

So we can use some angle rules that I forget the name of to solve this.

Let's look at angle g first. We know that the opposite angle is 118 degrees. So that also means that g is going to be 118 degrees.

Since g is 118 degrees we can find h. The angle of a line is 180 degrees. This means that we can do 180-118 to find h. h=62 degrees.

We can do the same thing for k and m. Try doing what I did for g and h for those two. Comment if you need help.

Answer:

Step-by-step explanation:

Answer:

the decimal is 1.75 and  The percentage is 175%

Step-by-step explanation:

I really don't know I'm not big on school subjects

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

It is found with the help of a calculator, having two inputs:

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Use the slope formula and pick any two points  to find the slope.

m= Y2- Y1/x2-x1

I picked the points (1,8) (3,14).

14-8/3-1= 6/2= 3

Hope this helps .

Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]

Step-by-step explanation:

     The first option is not because the numerator and denominator are flipped.

     The second option is not because this one is positive while the one given is negative.

     The third option is equivalent.

     The fourth option is equivalent.

     The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.

Answer:

[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)

Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.

Answer:

A

Step-by-step explanation:

Answer:

1.75 = 1 3/4

Step-by-step explanation:

1 3/4 = 1.75

Answer:

=

Step-by-step explanation:

-1.75 is the same as -1 3/4

Using proportions, it is found that the infusion rate is of 150 ml/hr.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 50 ml are administered over 20 minutes. How much is administered over one hour = 60 minutes? The rule of three is:

50 ml - 20 min

x ml - 60 min

Applying cross multiplication:

x = 50(60)/20

x = 50(3)

x = 150.

The infusion rate is of 150 ml/hr.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :y = - 15.57x² + 179.32x + 0.20height = yx = time                          Using the model obtained;The height, to the nearest foot, at a time, x = 6.4 seconds.y = - 15.57x² + 179.32x + 0.20y = - 15.57(6.4^2) + 179.32(6.4) + 0.20y = 510.1008y = 510

Step-by-step explanation:

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. Note that in these definitions, it does not matter whether or not the angles are adjacent; only their measures matter.

Step-by-step explanation:

hope its help po

correct me if im wrong

Two angles say x and y, are said to be complementary iff the sum of both angles x and y is 90° , while on the another hand, if their sum is 180°, they're called supplementary angles. So, here 75° + 105° = 180°, so both the angles are supplementary.

Hence, the required answer is supplementary

Answer:

11

Step-by-step explanation:

If you count the total values

it equals 11

Answer:  Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

Answer:

No

Step-by-step explanation:

→ Substitute the x value into the equation

-9 × 1 + 1

→ Simplify

-8

→ Compare to given y value

0 ≠ -8

Answer:

no

when you substite the values you don't get the same values

Answer:

Step-by-step explanation:

[tex]d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }[/tex]≈[tex]28.00563cm[/tex]

rounding 28.00563 to 28.

So hence, your answer is 28cm

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Answer:

28

Step-by-step explanation:

area of a circle

[tex]\pi{r}^{2} [/tex]

616=3•142×r×r

616/3•142=r^2

196=r^2

r=√196

r=14

d=2r

d=2×14

d=28

Answer:

[tex]m\angle L = 100^{\circ}[/tex].

[tex]m\angle J = 80^{\circ}[/tex].

[tex]m\angle M = 100^{\circ}[/tex].

Step-by-step explanation:

Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.

Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].

Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].

Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].

Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].

Answer:

Step-by-step explanation:

4x + y = 8

x + 3y = 8

[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]

So, this system of equations is consistent and independent.

-4x + 6y = -2

2x - 3y = 1

[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]

So, the system of linear equations are consistent and dependent.

5x -2y = 4

5x - 2y = 6

[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]

This system of equations is inconsistent.

Answer:

19,500 people

Step-by-step explanation:

20% of 25,000 is 5,000.

Add 5,000 to 25,000 - this will give you 30,000. That is a 20% increase.

65% of 30,000 is 19,500, thus there are 19,500 people in the stadium.

Answer:

b) one quarter hour

Step-by-step explanation:

every section is worth 5 minutes, there are three sections, which equals 15 minutes, 15 minutes is a one-quarter hour. hope this helps :)

Answer:

B

Step-by-step explanation:

it Is one quarter of an hour because they are exactly 15 minutes

Answer:

C

Step-by-step explanation:

To find A you have to divide 3/5 by 4 so that would not work.

To find B you have to subtract 1/4 from 3/5 and that doesn't match the problem.

To find C you do divide 3/5 by 1/4 which matches the problem.

And lastly for D you would divide 1/4 by 3/5 which is the opposite of what the question is asking for.

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

Answer:

For two different equations:

(3x+9)

x = -3

(4x+3)

x = -3/4

Finding x using both equations:

plug x = -3 into the other equation

4(-3) + 3 = -9

x = -9

plug x = -3/4 into the other equation

3(-4/3) + 9 = 27/4

x = 27/4

Set the equations equal to each other:

3x+9=4x+3

3x-4x = 3-9

-x = -3

x=3

PLEASE RATE!! I hope this helps!!

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