A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 4.5 in 6 in 16 in 7.5 in
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Mr. Smith has a loss of $75 for each hundred of pencils.

The profit is calculated as the subtraction of all the earnings by all the costs.

The pencils are purchased at 250 per hundred, hence the costs are of 250 euros.

Each of the 100 pencils is sold at a price of 1.75 euros, hence the earnings are given as follows:

100 x 1.75 = 175.

Then the profit is given as follows:

175 - 250 = -75 euros. -> negative profit -> loss of 250 euros.

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The model that shows the problem 1 divided by 1/6 is option 1.

Every point in a plane that is at a specific distance from the center, or the circle's center, forms a shape. To put it another way, it is the curve that a moving point in a plane draws to keep a constant distance from another point. The radius of a circle is the separation of any point from the center. A positive integer is typically necessary for the radius. Except as specifically stated, this article discusses circles in the Euclidean plane and other aspects of Euclidean geometry.

In particular, a circle is a straight, closed curve that separates the plane into its inner and exterior.

Therefore, The model that shows the problem 1 divided by 1/6 is option 1.

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Answer: no one cares

Step-by-step explanation:

Answer:

nine fifteenths=1/3     fifteen thirteenths=1/1       eleven fifteenths=1/1      thirteen fifteenths=1/1

Step-by-step explanation:

Answer:

Three fifths minus one third plus nine fifteenths equals :---

\(→(\frac{3}{5}-\frac{1}{3}+\frac{9}{15}) = \frac{(9 - 5 + 9)}{15}=\boxed{\frac{13}{15}}✓\\ \)

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The range of the graphed function in this problem is given as follows:

[-9, 9].

The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:

[-9, 9].

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The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

p=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

p+19=51

p=51-19

p=32

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

2349 blueberries

Step-by-step explanation:

522 X 4 1/2 days = 2349 bushels

:))

Answer:

2349 berries

Step-by-step explanation:

If 1day= 261 bushels of blueberries (522/2)

9days = 261^9 =2349 bushels of blueberries.

Answer:

The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.88}{2} = 0.94\). So we have T = 1.9153

The margin of error is:

M = T*s = 1.9153*4 = 7.66.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 7.66 = 7.34 minutes

The upper end of the interval is the sample mean added to M. So it is 15 + 7.66 = 22.66 minutes.

The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.

Answer:

Surface area of the given pyramid = 386.16 cm²

Step-by-step explanation:

Surface area of the given pyramid = Area of the square base + Area of the lateral sides

Area of the square base = (Side)²

                                        = (12)²

                                        = 144 cm²

Area of the lateral side = \(\frac{1}{2}(\text{Base})(\text{Lateral height})\)

Lateral height of the triangle = \(\sqrt{6^2+(9.1)^2}\) [By applying Pythagoras theorem]

                                                = \(\sqrt{82.81+36}\)

                                                = \(\sqrt{118.81}\)

                                                = 10.9 cm

Area of the lateral side = \(\frac{1}{2}(12)(10.9)\)

                                      = 60.54 cm²

Surface area of the given pyramid = Area of the base + 4(Area of one lateral side)

                                                          = 144 + 4(60.54)

                                                          = 144 + 242.16

                                                          = 386.16 cm²

The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

The functions are given as:

So, the interpretation of the function c(p(t)) is

The number of calories burned doing push-ups in t seconds

In c(p(45)), the value of t is 45

Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

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To make 10 in math we have to break numbers such that they sums up in multiple of 10.

When learning their basic addition facts in the first grade, kids use the "create a ten" approach to help them understand addition facts that could otherwise be challenging to remember, like 8 + 4 or 9 + 5. Students apply the technique by breaking down one of the addends to create ten from the other.

Like if we have to add 7+4 then what we can do break 4 as 3+1 and then add 7+3 =10 then add 1 into it 10+1 = 1 which is 7+4.

When students work with greater numbers, the make a ten technique can be expanded. Consider adding 37 by 14. Do you understand how 7 + 4 are related? By breaking down 14 into 3 and 11, adding the 3 to 37 to create 40, then adding 40 + 11 to get 51, we might use the make a ten method. 

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Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer: the first third fourth and last one

Step-by-step explanation:

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

a) 50

b)12/6

.......................

Answer:

Step-by-step explanation:

9²+9²=162

√162 ≈12.7

so base is a right angled triangle with sides 12.7,9,9

area of base and top=2×1/2×9×9=81 cm²

area of sides=(9+9+12.7)×8

=30.7×8=245.6 cm ²

total surface are =81+245.6=326.6 cm²

volume=1/2 ×9×9×8=324 cm³

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

So

We're going to make the operation:

The first thing we did, was to sum both expressions. (Similar terms). Then, we substract 6x^2 - 3x - 1 to the previous result. Remember that as the sign is negative, the signs inside the bracket change.

So, doing all this, the result is -7x^2 + 8x + 6

The total surface area of the triangular prism using the net is 96 square units

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

The net of a triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6

Evaluate

Area = 96

Hence, the surface area is 96 square units

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The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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gggggg Step-by-step explanation:

rrrrrrrr

To solve this equation we must find the value of x using the other values provided in the operation.

An equation is a type of mathematical operation that is characterized by expressing an equality between two expressions, each of these expressions involved in an equation are called members and are separated by the equal sign.

On the other hand, equations are characterized by having elements or known and unknown values related by mathematical operations.

According to the above, it can be inferred that we must use an equation to calculate the value of x using the other values provided by the situation.

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You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

1. D. 1

2. B. y=a³/x

3. A. y=1/x

Step-by-step explanation:

too long to give te explanations but they're there in the attachments

Answer:

The answer is number 2