SHOW WORK 10 POINTS!

Answer:

-------------------------

We can see two angles marked as same, one of them is a right angle.

The included vertical side is common to both triangles so is a congruent side.

Since we have congruence of two angles and the included side, it is Angle-Side-Angle or ASA.

Step-by-step explanation:

x + 3 = 5

x=5-3

×=2

Therefore the answer is x=2

So Cheng must purchase 32 cubic feet of sculpting material.

Each pyramid has a square base with edge length of 2 feet and a height of 6 feet. The area of the square base is (2 feet)^2 = 4 square feet. The volume of each pyramid is 1/3 * base area * height = 1/3 * 4 square feet * 6 feet = 8 cubic feet.

Since there are four identical pyramids in the sculpture, the total volume of material needed to create the sculpture is 4 * 8 cubic feet = 32 cubic feet. So Cheng must purchase 32 cubic feet of sculpting material.

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Answer:

D

Step-by-step explanation:

The value of d when F = 0.7 Newton's by solving with inverse variation is 0.61 meters to 2 D.P

Let

F = k/ d²

Where k = constant of proportionality

If F = 0.045 Newtons and d = 2.4 metres

F = k/ d²

0.045 = k / 2.4²

cross product

k = 0.045 × 2.4²

k = 0.2592

Find d when F = 0.7 Newton's

F = k/ d²

0.7 = 0.2592 / d²

cross product

0.7 × d² = 0.2592

0.7d² = 0.2592

divide both sides by 0.7

d² = 0.2592 / 0.7

d² = 0.370285714285714

find the square root of both sides

d = √0.370285714285714

d = 0.6085110634045

d = 0.61 to 2 decimal place.

Therefore, d is equal to 0.61 meters to 2 decimal place if F is 0.7 Newton's.

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Answer: The odds of an event happening are the ratio of the number of ways the event can happen to the number of ways it cannot happen.

Odds = (probability of success) / (probability of failure)

In this case, the event is that a carton of eggs will have at least one cracked egg.

The probability of success (the event happening) is 2.5%

The probability of failure (the event not happening) is 100% - 2.5% = 97.5%

so we can find the odds by dividing the probability of success by the probability of failure.

Odds = 2.5 / 97.5 = 0.025/0.975 = 1/39

So the odds that a carton of eggs will have at least one cracked egg is 1:39, meaning that for every 39 cartons that are free of cracked eggs, one carton will have at least one cracked egg.

It means that it's 1 in 39 chance that a carton of eggs will have at least one cracked egg

Step-by-step explanation:

Given:

Area of a sector = [tex]15\pi[/tex]

Radius = 5 cm

To find:

The central angle.

Solution:

The area of a sector is:

[tex]A=\dfrac{1}{2}r^2\theta[/tex]

Where, r is the radius and [tex]\theta[/tex] is the central angle in radians.

Putting [tex]A=15\pi, r=5[/tex] in the above formula, we get

[tex]15\pi=\dfrac{1}{2}(5)^2\theta[/tex]

Multiply both sides by 2.

[tex]30\pi=25\theta[/tex]

Divide both sides by 25.

[tex]\dfrac{30\pi}{25}=\theta[/tex]

[tex]\dfrac{6\pi}{5}=\theta[/tex]

Therefore, the central angle in radians is [tex]\theta=\dfrac{6\pi}{5}[/tex].

Answer:

Step-by-step explanation:

8,15,15 너 도넛

Answer:

1km=1000m

so 4.5(1000m)/90m

4500m/90m,we eliminate meter by meter

,4500/90=50

Answer:

50

Step-by-step explanation:

1km = 1000 m

4.5 * 1000 = 4500 m

4500/90 = 50/1 = 50 m

Answer:

A

Step-by-step explanation:

Se them equal to each other

3x = [tex]x^{2}[/tex] - 4

[tex]x^{2}[/tex] -3x -4 = 0

(x + 1) ( x -4)

x + 1 = 0

x = -1

y = 3x

y = 3(-1)

y = -3

(-1,-3)

x - 4 = 0

x = 4

y = 3x

y = 3(4)

y = 12

(4, 12)

A random selection of one of the families is made, and a computer is discovered there. P(computer AND TV) = 5/6.

We surveyed 400 households. 60% of people had computers, while 90% of them had TVs.

These were something that every family owned at least one of.

A random selection of one of the families is made, and a computer is discovered there.

Check to see if there is a TV there as well.

union: # with computer, # with TV, - # with both, # with both

400 = 360 + 240 - # with both # with both = 200 / 400 = 0.9 * 400 + 0.6 * 400

P(computer AND TV) = 200/400 = 1/2 ——-

P(TV | computer) + P(TV and computer) / P(computer) = 0.5/0.6 = 5/6

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Answer:

24

Step-by-step explanation:

Roberto paid 16.7% of the bill as a tip.

To find the percent of the bill Roberto paid as a tip, you can use the formula: (tip / total bill) x 100 = tip percentage

In this case, the tip was $7.15 and the total bill was $35.75 + $7.15 = $42.90. We know the formula to calculate percentage share of an item to total items.

Plugging these values into the formula:

(7.15 / 42.90) x 100 = 16.7 %

Roberto paid 16.7% of the bill as a tip, rounded to the nearest percent.

Thus, we know Roberto paid 16.7% of the bill as a tip.

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C) there is a 5% probability of rejecting a false null hypothesis

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

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Answer:

Answer:

1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]

3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]

4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]

5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12

6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8

7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20

8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16

Hope this helps!

Answer:

107

Step-by-step explanation:

The formula for Area is Length x width. Take the first shape and multiply 7x5 which equals 35.

Then do the same thing for the second shape 8x9=72

Now add

35+72=107!! Hope this helped

Answer:

x = 7°

Step-by-step explanation:

(8x + 6)° + 118° = 180°

8x = 56°

x = 7°

Answer:

Step-by-step explanation:

Let the speed be x km/h

Let the time be t

In △ADC,

tan30°=

h

xt

​

3

​

1

​

=

h

xt

​

h=  xt

In △ABD,

tan60°=

h

x(6+t)

h=  

x(t+6)

3​

xt=

x(t+6)

3t=6+t

t=3 seconds

∴ total time taken=6+3=9 seconds

Given:

A rectangle with sides 40 and 25.

A circle with radius 8 inside the rectangle.

The area of circle is unshaded.

To find:

The probability that a point (randomly selected) will lie in the unshaded region.

Solution:

The area of the rectangle is:

[tex]A_1=Length\times Width[/tex]

[tex]A_1=40\times 25[/tex]

[tex]A_1=1000[/tex]

The area of the circle is:

[tex]A_2=\pi r^2[/tex]

Where, r is the radius.

[tex]A_2=\pi (8)^2[/tex]

[tex]A_2=\pi (64)[/tex]

[tex]A_2=64\pi[/tex]

[tex]A_2\approx 201.06[/tex]

The probability that a point (randomly selected) will lie in the unshaded region is:

[tex]\text{Probability}=\dfrac{\text{Unshaded region}}{\text{Total region}}[/tex]

[tex]\text{Probability}=\dfrac{A_2}{A_1}[/tex]

[tex]\text{Probability}=\dfrac{201.06}{1000}[/tex]

[tex]\text{Probability}=0.20106[/tex]

Therefore, the required probability is 0.20106.

Answer: The width of the room is 36 feet and the length of the room is 48 feet.

Step-by-step explanation:

To solve this problem using elimination, you can set up a system of equations to represent the information given in the problem.

Let w be the width of the room, and let l be the length of the room. We are told that the length of the room is 12 feet longer than its width, so we can set up the equation:

l = w + 12

We are also told that half the perimeter of the rectangular floor is 72 feet. The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (length + width)

Since half the perimeter is 72 feet, the full perimeter is 2 * 72 = 144 feet. Substituting the equation for the length of the room, we get:

144 = 2 * (w + 12 + w)

Combining like terms and solving for w, we get:

w = 36

Substituting this value back into the equation for the length of the room, we get:

l = 36 + 12 = 48

Therefore, the width of the room is 36 feet and the length of the room is 48 feet.

To solve this problem using substitution, we could start by solving for the width of the room in one of the equations, and then substituting that value into the other equation to solve for the length of the room.

For example, we could solve the equation l = w + 12 for w to get:

w = l - 12

Substituting this expression for w into the equation for the perimeter, we get:

144 = 2 * (l - 12 + l)

Combining like terms and solving for l, we get:

l = 48

Substituting this value back into the equation for the width of the room, we get:

w = 48 - 12 = 36

Therefore, the width of the room is 36 feet and the length of the room is 48 feet.

Answer:

R=9

Step-by-step explanation:

Answer:

Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes

1.3584655000

2.85760000

3.146737000

4.5555627000

5.7777000

please help

Step-by-step explanation:

1. Eliminate any constant that is on the same side as the variable.

2. Use inverse operations to isolate the variable by itself.

3. Whatever you do to one side you do to the other.

Answer:

Step-by-step explanation:

e

Answer:

B

Step-by-step explanation:

Natalie needs the number of tulips to be at least twice the number of lilies. 8 is more than double 3.

And 8 + 3 is less than 12 so it fits both requirements.

The branch of statistics used to make the given statement is Option(D) Descriptive Statistics.

Which are the different branches of statistics?

The area of mathematics that deals with data is statistics. Data collection, descriptive statistics, and inferential statistics are the three main subfields of statistics.

For the given question, we are presented with data quantitatively. The data shows out of 500 students, 31% missed class due to alcohol consumption.

Therefore the branch of statistics that was used to make the above statement is descriptive statistics.

Hence Option(d) is correct.

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On solving the provided question, we can say that - area of the following cylinder is [tex]2\pi rh + 2\pi r^2 = > 2 * 3.14 *3*2 + 2 *3.14*2*2 = > 62.8[/tex]

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

r=3

and h= 2

area =

[tex]2\pi rh + 2\pi r^2\\\\2 * 3.14 *3*2 + 2 *3.14*2*2\\62.8[/tex]

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Answer:

Ans is x<3

Step-by-step explanation:

➜-2x<-6

➜2x<6

➜2x/2<6/2

➜x<3

Answer:

360

Step-by-step explanation:

15+75 equal 90

so 90+90+90+90 equal 360

The length x of JK is 3.6 units

Here, quadrilaterals ABCD and JKLM are similar.

We know that the corresponding sides of similar triangles are in proportion.

So, by definition of similar triangles,

AB/JK = BC/KL = CD/LM = AD/JM

To find:  the length x of JK

So, consider an equation

AB/JK = AD/JM

Substitute the length of each side in above equation.

4/x = 2/1.8

(4 × 1.8)/x = 2

(4 × 1.8)/2 = x

x = 2 × 1.8

x = 3.6

Therefore, the length of JK = 3.6 units

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Answer:

A.

Step-by-step explanation:

It's false