A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet. [Not drawn to scale] 60 square feet 72 square feet 82 square feet 84 square feet

Answer:

he is wrong becuase 89 times a number greater than 0 cannot result in a product greater than the number

Step-by-step explanation:

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:

  Given;   Definition of multiplication

 8/9 and 2  = 26/9

3/4

The product is;

26/9 x 3/4

= 13 x 1/6

= 13/6

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

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Answer:

50%

Step-by-step explanation:

half of the numbers on dice are even

3*10 = 30 - 48*2 = 96

30 - 90

= -60

Answer:

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Step-by-step explanation:

Answer:

I think it is A, or ,D

Step-by-step explanation:

Answer:

Sqrt57 < sqrt50 + sqrt 7

Step-by-step explanation:

Sqrt 57 = 7.5 and sqrt 50 = 7.1 + sqrt 7 = 2.6

= 7.5 < 7.1 + 2.6

= 7.5 < 9.7

As a result, we require 0.0833 cups (or roughly 4.4 teaspoons) of sugar for every cup of vanilla.

To tackle proportionality-related mathematical problems, one can apply the unitary method. It is predicated on the premise that if we know the relationship between two quantities for one unit of measurement, we can utilise that relationship to find the relationship between the same two quantities for any other unit of measurement. In real-world applications, the unitary technique is frequently employed when determining the value of one quantity based on the value of another quantity where the two quantities are proportionally connected. For instance, if we know that 3 apples cost $2, we may use the unitary technique to calculate the price of 5 apples.

given

We must change both measures to the same unit in order to determine the unit rate in teaspoons per cup.

16 tablespoons make up a cup, while 3 teaspoons make up a tablespoon. So:

4.3 tablespoons per teaspoon

13 cup equals 13 times 16 tablespoons, or 5 1/3 tablespoons.

Now that we have the unit rate:

Teaspoons per cup are calculated as (4 teaspoons) / (5 1/3 tablespoons).

Teaspoons in a cup are equal to (4/3 tablespoons) / (16 tablespoons in a cup).

Teaspoons per cup are calculated as follows: (4/3)/16 = 0.0833 (rounded to four decimal places)

The unit rate in teaspoons per cup is therefore roughly 0.0833.

As a result, we require 0.0833 cups (or roughly 4.4 teaspoons) of sugar for every cup of vanilla.

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Answer:22

Step-by-step explanation:

Answer:

Equivalent equation are the equation that are used to defined the same objective but looks different from the original equation. We can modify any mathematical equation according to our need using the laws and operations of the mathematics.The equivalent expression of the given equation is,Given-The expression given in the question is ,We have to write the above equation as a equivalent expression.What is the equivalent expression?Equivalent equation are the equation that are used to defined the same objective but looks different from the original equation. We can modify any mathematical equation according to our need using the laws and operations of the mathematics.The above equation can be written as,The above equation keeps the same objective as the original expression. There are many more equivalent equation we can make with the given equation using the brackets, basic operations ofmathematics like addition subtraction, multiplication or division. We can modify any mathematical equation according to our need using the laws and operations of the mathematics.Thus the equivalent expression of the given equation is,

Answer:

To break even, the expected revenue from selling extended warranties should be equal to the expected cost of replacing the failed products. Let's calculate these values.

Assuming the company sells 1000 products, 4% of them (i.e. 40 products) are expected to fail after the original warranty period but within 2 years of the purchase. Each replacement costs $300, so the total expected cost of replacements is:

40 x $300 = $12,000

To calculate the expected revenue from selling extended warranties, we need to know how many customers will buy them. Let's assume that the company offers the extended warranty for $x and that p% of customers buy it. Then the expected revenue from selling extended warranties is:

1000 x p x $x

We want the expected value to be 0, so:

1000 x p x $x = $12,000

Solving for $x, we get:

$x = $12,000 / (1000 x p)

Now we need to find the value of p that makes $x equal to the cost of the extended warranty. Let's assume that the cost of the extended warranty is $y. Then:

$x = $y

$12,000 / (1000 x p) = $y

p = $12,000 / (1000 x $y)

Substituting the given values, we get:

p = $12,000 / (1000 x $300)

p = 0.04

So the company needs to sell the extended warranty to 4% of customers to break even. The price of the extended warranty should be:

$x = $12,000 / (1000 x 0.04)

$x = $3

Therefore, the company should charge $3 for the extended warranty to break even

Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

Let the number be represented by "n". Then, the equation is:

(n/8) + 3 = 5

Step-by-step explanation:

Answer:

x = 1/10

Step-by-step explanation:

-(2x-1) = - 1 - (- x - 1) + 7x

Distribute the "-"

- (2x -1) --> -2x + 1

- ( -x - 1) --> x + 1

New equation becomes,

-2x + 1 = - 1 + x + 1 + 7x

Combine like terms

-2x + 1 = 8x

Add 2x to both sides (to isolate the variable (x))

1 = 10x

Divide both sides by 10

x = \(\frac{1}{10}\)

These are a legitimate probability distribution:

To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:

Each probability value must be between 0 and 1, inclusive.

The sum of all probability values must equal 1.

Check if the given probabilities satisfy these conditions:

P(X=-3) = 0.14 (valid)

P(X=1) = 0.1 (valid)

P(X=3) = 0.135 (valid)

P(X=5) = 0.306 (valid)

Now, calculate the remaining probability to check if it satisfies the second condition:

P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))

P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)

P(X=6) = 1 - 0.681

P(X=6) = 0.319

Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:

P(X=-3) = 0.14

P(X=1) = 0.1

P(X=3) = 0.135

P(X=5) = 0.306

P(X=6) = 0.319

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Answer:

Angle \(AEC=80\)°

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

rise/run = 3/1 = 3

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

The value of 2(s + t)^{3} - 6 is 244.

What is an equation?

In mathematics, an equation is a statement that asserts the equality of two expressions, usually separated by an equals sign (=).

For example, the equation 3x + 5 = 11 asserts that the expression 3x + 5 is equal to the expression 11. An equation can have one or more variables, which are typically represented by letters. In the example above, x is the variable.

To evaluate 2(s + t)^{3} - 6 when s = 3 and t = 2, we can substitute 3 for s and 2 for t in the expression and simplify.

So we have:

2(s + t)^{3} - 6 = 2(3 + 2)^{3} - 6 (substituting s = 3 and t = 2)

= 2(5)^{3} - 6 (evaluating the expression inside the parentheses)

= 250 - 6 (cubing 5 and multiplying by 2, and then subtracting 6)

= 244 (subtracting 6 from 250)

Therefore, when s = 3 and t = 2, the value of 2(s + t)^{3} - 6 is 244.

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Answer:

The constant proportionally of the graph is:

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

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Answer:

The factored form of this would be 16(4b - c)

Step-by-step explanation:

In order to find this, look for the greatest common factor of 16 and 64. You can do this by listing out their factors. Once this is done and we identify 16 as the GCF, we can then put that on the outside of the parenthesis and divide all the terms inside by that number.

Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

Answer:

18

Step-by-step explanation:

its 18 I think I believe

Subtracting 10 from the original equation will shift the graph down 10 units

The answer is D.

Answer: x=0 y=2

Step-by-step explanation:

Answer:

-y+11

Step-by-step explanation:

(x-6)•2+(y+3)•2-(y+3)•2=16-(y+3)•2

(x-6)•2=-2y+10

(x-6)•=-2y/2+10/2

x-6=-y+5

x=-y+11

Answer:

D) Acceleration is positive and increasing.​

Step-by-step explanation:

In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:

\(a=\frac{v}{t}\)

where Δ V is the variation of velocity and Δ T is the variation in time.

The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).

Answer:

r=12

Step-by-step explanation:

r=12

circumference of arc = theta/360*2πr=3π given

Pi cancels

theta/360*2*12=3

theta*6/90=3

theta*3/45=3

3 cancels,45 to the other side

theta=45 degrees

This should do it :)

The Solution.

By formula, the surface area of the given figure is

b. By formula, the volume of the given figure is

Where,

Substituting the values in the formula, we have

Hence, the correct answers are:

a. Surface area = 615.4 square inches

b. Volume = 1436.0 cubic squ

The surface areas for each figures are:

1. The surface area of the cuboid is:

Top and bottom: 2(10 ft x 4 ft) = 80 ft²

Front and back: 2(10 ft x 5 ft) = 100 ft²

Sides: 2(4 ft x 5 ft) = 40 ft²

Total surface area = 80 + 100 + 40 = 220 ft²

2. The surface area of the cuboid is:

Top and bottom: 2(18 cm x 5 cm) = 180 cm²

Front and back: 2(18 cm x 5 cm) = 180 cm²

Sides: 2(5 cm x 5 cm) = 50 cm²

Total surface area = 180 + 180 + 50 = 410 cm²

3. The surface area of the prism is:

Top and bottom: 2(5 cm x 14 cm) = 140 cm²

Front and back: 2(5 cm x 12 cm) = 120 cm²

Sides: 2(12 cm x 14 cm) = 336 cm²

Total surface area = 140 + 120 + 336 = 596 cm²

4. The surface area of the stacked cuboids is:

Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²

Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²

Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²

Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²

Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²

Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²

Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²

Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²

5. The surface area of the cylinder is:

Top and bottom: 2π(6 mm)² = 72π mm²

Side: 2π(6 mm)(5 mm) = 60π mm²

Total surface area = 72π + 60π = 132π mm²

6. The surface area of the cylinder is:

Top and bottom: 2π(1 ft)² = 2π ft²

Side: 2π(1 ft)(10 ft) = 20π ft²

Total surface area = 2π + 20π = 22π ft²

7. The surface area of the cylinder stacked on a cube is:

Top and bottom of cylinder: 2π(5 m)² = 50π m²

Side of cylinder: 2π(5 m)(8 m) = 80π m²

Surface area of cube: 6(10 m x 13 m) = 780 m²

Total surface area = 50π + 80π + 780 = (130π + 780) m²

8. The surface area of the cylinder is:

Top and bottom: 2π(9 in)² = 162π in²

Side: 2π(9 in)(4 in) = 72π in²

Therefore, the total surface area of the cylinder is:

2(162π in²) + 72π in² = 396π in²

So the surface area of the cylinder is 396π square inches.

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Image transcribed:

Find the surface area of each figure.

10 ft

18 cm

5 cm

4 ft

5 ft

3.

4.

6 cm

7 cm

2 cm

5 cm

12 cm

14 cm

4 cm

10 cm

8 cm

Find the surface area of each cylinder. Leave your answer in terms of π.

5.

6 mm

6.

1 ft

5 mm

10 ft

7.

5 m

8.

4 in.

8 m

10 m

9 in.

13 m

11 m

247

Journal and Practice Workbook

Geometry

Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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