Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
15 m
12 m
0
9 m
11 m

Thanks for anyone that answers

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

The 5th term of the arithmetic series is  1179/ 19.

The 10th term of the arithmetic series , S is 66.

Using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

66 = a + 9d

The sum of the first 20 terms of S is 1290.

Therefore,

Sₙ = n / 2 (2a + (n - 1)d)

1290 = 10(2a + 19d)

1290 = 20a + 190d

combine the equation

66 = a + 9d

1290 = 20a + 190d

Hence,

a = 66 - 9d

1290 = 20(66 - 9d) + 190d

1290 = 1320 - 180 + 190d

1290 - 1320 + 180 = 190d

190d = 150

d = 150 / 190

d = 15 / 19

Hence,

a = 66 - 9(15  /19)

a = 66 - 135 / 19

a = 1254 - 135/ 19

a = 1119 / 19

Hence, let's find the fifth term.

a₅ = a + 4d

a₅ = 1119 / 19 + 4(15 / 19)

a₅ = 1119 / 19 + 60 / 19

Therefore,

a₅ =  1179/ 19

learn more on arithmetic series here: https://brainly.com/question/16415816

#SPJ1

D 231 = 46w can be used to solve for w, the number of white eggs used last week.

Answer: x=22

Step-by-step explanation:

Based on the given figure, we can tell that 2x and 44 are vertical angles. Vertical angles are congruent to each other, so we can set them equal to each other.

2x=44           [divide both sides by 2]

x=22

Therefore, x=22.

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

v = 3

Step-by-step explanation:

Distribute

3 ( 2v + 5 ) = 33

6v + 15 = 33

Subtract 15 from both sides of the equation

6v + 15-15 = 33-15

Simplify

6v = 18

Divide both sides of the equation by the same term

6v/6 = 18/6

Simplify

v = 3

Hence, v =3.

[RevyBreeze]

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

Learn more about Shares problem here:

https://brainly.com/question/30475800

#SPJ1

1.67 pounds flour we get per dollar.

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

To know more about pounds refer to:

https://brainly.com/question/498964

#SPJ1

The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

Read more about graphs at

https://brainly.com/question/28350999

#SPJ1

Answer:   About the building of his bed

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Answer:

2.75

Step-by-step explanation:

The amplitude is half of the difference between the highest and lowest y-coordinates.

amplitude = 0.5|6.75 - 1.25| = 0.5(5.5) = 2.75

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

Terrell ran 1,000 meters more than Victor

Step-by-step explanation:

Victor ran 3 kilometers, which equals 3000 meters. Terrell ran 4000 meters, which is 1000 more than 3000.

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

well, from the end of year 5 to the end of year 6 is only 1 year later, so

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$3315.30\\ P=\textit{original amount deposited}\dotfill & \$3203.19\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 3315.30=3203.19[1+(\frac{r}{100})(1)] \implies \cfrac{3315.30}{3203.19}=1+\cfrac{r}{100} \\\\\\ \cfrac{3315.30}{3203.19}-1=\cfrac{r}{100}\implies 100\left( \cfrac{3315.30}{3203.19}-1 \right)=r\implies \stackrel{\%}{3.5}\approx r\)

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Read more about sets and logic here:

https://brainly.com/question/29774143
#SPJ1

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

Answer: 160

Step-by-step explanation:

I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Answer:

\(P_{B}\) = 80

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b

then ratio of perimeters is also a : b

here ratio of sides = 24 : 15 = 8 : 5

the ratio of perimeters is also 8 : 5

then by proportion

\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is

\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )

8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )

\(P_{B}\) = 80

Answer:

The answer is 56ft

look at the attachment

\(\\ \tt\longmapsto sin60=\dfrac{Perpendicular}{Hypotenuse}\)

\(\\ \tt\longmapsto sin60=\dfrac{28}{x}\)

\(\\ \tt\longmapsto x=\dfrac{28}{sin60}\)

\(\\ \tt\longmapsto x=\dfrac{28}{0.86}\)

\(\\ \tt\longmapsto x=32.6ft\)

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

For more such question on combination visitr;

https://brainly.com/question/28065038

#SPJ8

Answer:

A strawberry cost 30 cents

Step-by-step explanation:

Given:

Orange= 18 cents

Pineapple = 27 cents

Apple = 15 cents

Strawberry = ?

From the given:

Orange has 6 letters multiplied by 3

=6 * 3

=18 cents

Pineapple has 9 letters multiplied by 3

=9 * 3

=27 cents

Apple has 5 letters multiplied by 3

= 5 * 3

= 15 cents

Therefore, cost of the strawberry=

Strawberry has 10 letters. Multiply the 10 letters by 3

That is,

10 × 3

= 30 cents

Answer:

x² + y² = 49

Since, the equation of a circle is,

\((x-h)^2 + (y-k)^2 = r^2\)

Where,

(h, k) is the center of the circle,

r = radius of the circle,

Here,

(h, k) = (0, 0) ⇒  ( origin ),

r = 7 units,

Hence, the equation of the circle is,

\((x-0)^2 + (y-0)^2 = 7^2\\\\x^2 + y^2 = 49\)

Know more about Circles,

https://brainly.com/question/29266465

#SPJ1

Answer:

The number 49/4 should be added on both sides of \(x^2 + 7x = 4\)  to complete the square.

Step-by-step explanation:

\(x^{2} + 7x +\frac{49}{4} = 4 + \frac{49}{4}\)

\({4x^{2} + 28x + \frac{49}{4} = {16 + \frac{49}{4}\)

\({4x^{2} + 28x + 49} = 16 + 49\)

\((2x + 7)2 = 65\)  [since \(a^{2} + 2ab + b^{2} = (a + b)^{2}\)]

\((2x + 7)^{2}\) \(=\) \((\sqrt65)^2\)

Answer:

See below

Step-by-step explanation:

x^2 + 7x - 4 = 0      take 1/2 of the 'x ' coefficient (this is 7/2)  and do this:

(x + 7/2)^2    -4       now when you expand this (see botom line) you will see you have added  49/4  to the equation....you will need to subtract this               for the equation to be the same :

(x+7/2)^2  - 49/4 - 4  = 0     then simplify to:

(x+7/2)^2  - 65/4 = 0     you can re-arrange if needed to this:

(x+7/2)^2 = 65/4

(x+7/2)^2 = x^2 + 7x + 49/4    <====== this needs to be subtracted

Answer:

84000

Step-by-step explanation:

Answer:

fish?

or it could be the real answer instead of fish-

It is described as being the mass of a certain platinum-iridium prototype that is held at the International Bureau of Weights and Measures. One liter of pure water's bulk (10-3 cubic meters) served as its original definition.

A mass of 1 kilogram weighs roughly 2.20 pounds at Earth's surface (lb).

The fundamental mass unit in the metric system is the kilogram (kg). Since it was initially designed to be exactly equal, a kilogram is very nearly equivalent to the mass of.

What is a kilogram, and what does it look like?

kilograms is definedThe fundamental metric mass unit, which is equivalent to 1,000 grams (2.2 pounds). 1. 1. The Systeme International d'Unités defines a kilogram as a unit of measurement .

To learn more about Kilogram refer to:

https://brainly.com/question/9301317

#SPJ9