Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Answer:

C. no solution

Step-by-step explanation:

3x – 4 = 3x + 4

3x-3x=4+4

0=8

which is not possible.

So, it has no solutions.

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

.We know

\(\\ \sf\longmapsto Area=\dfrac{πd^2}{4}\)

\(\\ \sf\longmapsto Area=\dfrac{3.14(8)^2}{4}\)

\(\\ \sf\longmapsto Area=\dfrac{3.14(64)}{4}\)

\(\\ \sf\longmapsto Area=3.14(16)\)

\(\\ \sf\longmapsto Area=50.24m^2\)

from the question;

we are to find the equation of line passing through the points (1, -8) and (4, 4)

first,

we need to define the formula of the equation of line passing through two points

the equation is given as

from the two points

substituting these values into the above equation, we get

therefore the equation of line passing through the points (1, -8) and (4, 4)

is y = 4x - 12

Answer:

When x=0, y<1, so the point that is not part of the solution of the inequality is (0,1), when y=|3x|+1.

Step-by-step explanation:

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer: Chad Makes $1.50 more

Step-by-step explanation:

You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped

Answer:

It's actually B. False.

Step-by-step explanation:

This was correct for the quiz.

True, an exponential growth function represents a quantity that has increased.

The mathematical expression f(x)=exp or e^x denotes the exponential function. The phrase typically refers to the positive-valued function of a real variable, unless otherwise specified.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

For example, if there is an exponential function represented as E = 5(10)³. It means that the function is increased by a number of times itself.

Therefore, an exponential growth function represents a quantity that has increased the statement is true.

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The required margin of error for Val is 9.8 pounds.

The margin of error is a statistic that describes how much random sampling error there is in survey results.

One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Multiplying a key factor (for a specific confidence level) and the population standard deviation yields the calculation for the margin of error.

The square root of the sample's observational count is then used to divide the outcome.

So, the following equation provides the margin of error:

M = 1.96 s/√n

Now, calculate as follows:

M = 1.96 s/√n

M = 1.96 50/√100

M = 9.8

Therefore, the required margin of error for Val is 9.8 pounds.

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Correct question:

Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / square root of N

The value of the sum of the squared  is 258.74 .

To calculate the average add the individual values ​​of the sample and divide by the total value "n" of the sample.

Mean = sum of sample / total number of sample

         \(=\frac{23+27+35+44}{4} \\\\=\frac{129}{4} \\\\=32.25\)

Subtract the mean from the individual sample

The mean is 32.5 , so after this subtraction we get:

   \(23-32.25=-9.25\\27-32.25=-5.25\\35-32.25=2.75\\44-32.25=11.75\)

These values ​​are called deviations because they represent how much each value differs from the sample mean.

Square the Individual variations , we get

    \((-9.25)^2=85.56\\(-5.25)^2=27.56\\(2.75)^2=7.56\\(11.75)^2=138.06\)

Add the the Squares of the Deviations , we get

  \(85.56+27.56+7.56+138.06=258.74\)

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Answer:

-62 -25 33 59

Step-by-step explanation:

although 62 is a big number the negative sign yes before it so if further away from any whole number so that why it's before -25 and the rest that follows after

Answer:

624 pounds

Step-by-step explanation:

If 10 boxes of paper weigh 260 pounds, one box of paper is equal to 26 pounds because 260 divided by 10 is equal to 26. If one box equals 26 pounds, 24 boxes times 26 pounds each is equal to 624 pounds.

a) The total closing costs are $100,000.

b) The actual amount they financed with the mortgage is $90,000.

a) Total Closing Costs:

To find the total closing costs, we need to calculate 10% of the selling price, which represents the down payment. Additionally, we need to consider the closing costs that are financed as part of the mortgage.

Calculate the down payment:

Down Payment = 10% of Selling Price

Down Payment = 10% of $100,000

Down Payment = $10,000

Calculate the financed amount for closing costs:

Financed Closing Costs = Selling Price - Down Payment

Financed Closing Costs = $100,000 - $10,000

Financed Closing Costs = $90,000

Therefore, the total closing costs are $10,000 for the down payment plus $90,000 for the financed closing costs, resulting in a total of $100,000.

b) Actual Amount Financed with the Mortgage:

To find the actual amount financed with the mortgage, we need to subtract the down payment from the selling price.

Actual Amount Financed = Selling Price - Down Payment

Actual Amount Financed = $100,000 - $10,000

Actual Amount Financed = $90,000

Therefore, Kyung Ja and Hideo Hakola financed $90,000 with the mortgage.

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Answer:

3 red golf balls

Step-by-step explanation:

There are 2 red golf balls and 6 other golf balls, so there is a total of 8 golf balls. 6 + 2 = 8

Now find the probability of selecting a red golf ball

(p of red) = 2/8

reduce

(p of red) = 1/4

Now multiply the probability by 12 to how many you expect to be red.

1/4 x 12/1

12/4 = 3

3 red golf balls

The formula for volume of a rectangle prism is length x width x height

volume = 4 x 3 x 65 = 780 cubic meters

Answer:

780 m^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is length x width x height. 4m x 3m x 65m = 780m^3.

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

32/5

Step-by-step explanation:

Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.

Ex: 6 2/5 = 5 x 6 +3  

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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The function that represents the number of comic book as a function of the number of years, t is expressed as y = 30x or f(t) = 30t.

We can use the given data to create a linear equation of the form y = mx + b, where y represents the number of comic books and x represents the number of years.

To find the equation, we can use any two pairs of (x, y) values. Let's use the first and fourth years:

First year: (1, 30)

Fourth year: (4, 120)

The slope, m, of the line can be calculated using the formula:

m = change in y / change in x = (120 - 30) / (4 - 1)

m = 90 / 3

m = 30

The y-intercept, b, can be found by substituting one of the (x, y) values and the slope into the linear equation, y = mx + b:

30 = 30(1) + b

b = 0

Therefore, the equation that represents the number of comic books, y, as a function of the number of years, x, is:

y = 30x

or

f(t) = 30t [where t represents the number of years.]

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

The last option line DG is congruent to line GE

Step-by-step explanation:

Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

So basically G is the midpoint of DE because FG is the median.

The last option, we can conclude that line DG is congruent to line GE

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.

We are given that FG is an median.

Thus, basically G becomes the midpoint of DE because FG is the median.

So, DG = GE

Hence,

The last option, we can conclude that line DG is congruent to line GE

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Answer:

14

Step-by-step explanation:

To find the value of 12 – 4 + 2h when h = 3, we need to substitute the value of h into the expression and simplify.

When h = 3, we can substitute this value into the expression:

12 – 4 + 2h = 12 - 4 + 2*3 = 12 - 4 + 6 = 12 - 4 + 6 = 8 + 6 = 14

So the value of 12 – 4 + 2h when h = 3 is 14.

Answer:

12 - 4 + 2h = 14

Step-by-step explanation:

Given expression,

→ 12 - 4 + 2h

Now we have to use,

→ h = 3

Let's simplify the expression,

→ 12 - 4 + 2h

→ 12 - 4 + 2(3)

→ 12 - 4 + 6

→ 8 + 6

→ 14 => {final value}

Hence, required value is 14.

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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