Triangle
△
A
′
B
′
C
′
△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime is the image of
△
A
B
C
△ABCtriangle, A, B, C under a dilation with a scale factor of
2
22.

A
′
A
′

B
′
B
′

C
′
C
′

What is the length of segment
A
B
‾
AB
start overline, A, B, end overline?

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Given:

John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.

Total interest in one year = $1230

To find:

The rates of the investments.

Solution:

Let x% be the rate of interest on investment $5000.

Then, (x+4)% is the rate of interest on investment $8000.

Total interest is $1230. So,

\(5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230\)

\(50x+80(x+4)=1230\)

\(50x+80x+320=1230\)

\(130x=1230-320\)

\(130x=910\)

Divide both sides by 130.

\(x=\dfrac{910}{130}\)

\(x=7\)

Now,

\(x\%=7\%\)

\((x+4)\%=(7+4)\%=11\%\)

Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.

Answer: 0.0208333333

Step-by-step explanation: one way you could do it is -->1/4 ≈ 0.25 and 1/12 ≈ 0.0833333333333333

so then

0.25 ÷ 0.0833333333333333 = 0.0208333333

If you'd like to check the answer, use a calculator.

1/4 ÷ 1/12 = 0.0208333333

hope this helps :)

The correct answer is neither

Answer:

D = 100 - 2p

Where p is the price in dollars of the product and D is the number of products that can be sold at that price

And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units

Step-by-step explanation:

For this problem we know the following function given:

D = 100 - 2p

Where p is the price in dollars of the product and D is the number of products that can be sold at that price

And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

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All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer: 1 5/12

Step-by-step explanation:

17/12 as a mixed number

Answer:

13.31

Step-by-step explanation:

First do 35.19-12.78=22.41

I assume slightly more than $9 is .1

then subtract 22.41-9.1=13.31

In this combination, he can alternate between the two sizes of shells to create a visually appealing pattern. He will use a total of 9 shells, which will cover the entire 4-inch edge without leaving any gaps.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Combination 1:

Let's say Colton wants to use only 6/8-inch shells. To cover a 4-inch edge, he can use:

4 / (6/8) = 5 and 1/3 shells

However, since he cannot use a partial shell, he will have to use 5 shells. This will leave him with 3/8 inches of uncovered space on the edge.

Combination 2:

Let's say Colton wants to use both 6/8-inch and 7/8-inch shells. He can use the following combination:

6/8 inch shells: 4 / (6/8) = 5 and 1/3 shells (rounded to 5 shells)

7/8 inch shells: 4 / (7/8) = 4 and 4/7 shells (rounded to 4 shells)

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Step-by-step explanation:

1)

5p + 5 = 3(5p - 4) - 10p

5p + 5 = 15p - 12 - 10p

5p + 5 = 5p - 12

5 ≠ -12

p = No solution

2)

P = 2w + 2l

P = 2(w + l)

P/2 = w + l

P/2 - l = w

I think that it is 1 and 2 by the way

Answer:

0.25

How to Solve:

Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:

16 x 6.25 = 100

Do the same to the numerator:

4 x 6.25 = 25

Now, take 25 and take a decimal point two spaces to the right:

0.25

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

C. 5 inches

Step-by-step explanation:

I’m area you have to multiply L • W

But since we don’t know the width we can divide the length by the area.

40/8 = 5

So the answer would be 5.

Another way to solve this problem is with using guess and check.

I hope it helps! Have a great day!

Anygays~

Answer:

C. 5 inches

Step-by-step explanation:

Use the numbers we have in the word problem, so you´d divide 40 by 8 since you´re trying to find the width. 40 is the area and 8 is the length so divide it tofind the width.

40/8 = 5

ANSWER: 5 inches

I hope it helps! Have a great day!

Answer:

W=13 ft L=35 feet

Step-by-step explanation:

see detailed explanation below

Answer:

(2/11)^3/(4/22)^6

= (2/11)^3/(2/11) ^6

=1/(2/11)^3

=(11/2)^3

Answer:

192 cubic inches

Step-by-step explanation:

To find the volume multiply l x h x w

8 x 6 x 4 = 192 cubic inches

Answer:

slope / m = 3/2 & y-intercept =  (0,0)

Step-by-step explanation:

y=mx+b is the formula

m in this equation is 3/2 (y=3/2x)

there's no b because there's no constant so it's (0,0)

Slope:

3/2

Explanation:

The given equation is in slope intercept form: y = mx + b, where:

m = slope

b = y intercept

Similarly, in the equation y = 3/2x, the slope is 3/2 and the y-intercept is 0.

Hence, this is the answer.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

18.4

Step-by-step explanation:

0.482 * (61.2)^2 = 1805.30208

1805.30208 ÷ 98.01 = 18.4

There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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Answer:

6 mins

Step-by-step explanation:

Given that;

T(t) = Ce^-kt + T(s)

Since T(t) = 200◦F, and T(s) = 70◦F where t = 0

200= Ce^-k(0) + 70

C= 200 - 70

C = 130

Then when T(t) = 190◦F and t= 1s ;

190 = 130e^-(k *1) + 70

190 - 70 = 130e-^(k *1)

120/130 = e^k

0.923 =  e^-k

-k = ln(0.923)

k = 0.08

To determine the time taken to reach a temperature of  150◦F

150 = 130e^-(0.08t) + 70

150 - 70/130 = e^-(0.08t)

0.6154 = e^-(0.08t)

-(0.08t) = ln 0.6154

0.08t = 0.4855

t = 0.4855/0.08

t = 6 mins

Answer:

BE equals CD times AB over AC

Step-by-step explanation:

took the test

Answer:

BE = CD times AB/AC

Step-by-step explanation:

I took the test. And also, we know that BE + CD. so, the only one that we can eliminate from that is BE =AD. That's about all the explanation I can give you, sorry, but that is the right answer.

9514 1404 393

Answer:

Step-by-step explanation:

The contribution margin is the difference between the selling price of a unit and its variable cost. Here, that difference is ...

  $67 -43 = $24 . . . contribution margin

__

The break-even sales will be the number of sales required for the total contribution margin to equal the fixed operating costs:

  $430,000/($24/unit) = 17,916 2/3 units ≈ 17,917 units . . . sales to break even

__

The target sales will be the number of sales to cover fixed costs and $234,000 more.

  ($430,000 +234,000)/($24/unit) = 27,666 2/3 units

  ≈ 27,667 units . . . to achieve target income

The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.

It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.

From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.

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