What is the area of the circle whose diameter is 16 ft?

201.1 sq ft
802.2 sq ft
50.3 sq ft

Answer:

378

Step-by-step explanation:

Answer:

6s

Step-by-step explanation:

Answer:

6s

Step-by-step explanation:

24s^3 = 2 * 3 * 4 * s *s * s

12s^4 = 2 * 2 * 3 * s * s * s * s

18s = 2 * 3 * 3 * s

As we can see, the common factors that both 24s^3, 12s^4, and 18s have are 2, 3, and s. Multiply these common factors, and you get 2 * 3 * s = 6s, which is the greatest common factor of 24s^3, 12s^4, and 18s.

Answer: -55

Step-by-step explanation:

Answer:

5cm and 10 cm

Step-by-step explanation:

Since the overall height of the shape is 9 and the base of the triangle shaped piece is 6, the area of that piece is 6*9/2=27 units. Subtracting this from the total of 77, you know that the rectangle must have an area of 50 units. Out of the options that you have to drag, the only two that multiply together to be 50 units are 5 for the shorter side and 10 for the longer side. Hope this helps!

The  correct measurements to label the unknown lengths in the figure 5 cm and 10cm.

The area of Rectangle is length times of width.

The overall height of the shape is 9 cm

The base of the triangle shaped piece is 6

The area of triangle is 1/2×base×height

Area of that piece is 6×9/2=27 units.

Now let us subtract this from the total area

Total is 77 units

the rectangle must have an area of 50 units.

the only two that multiply together to be 50 units are 5 for the shorter side and 10 for the longer side.

Hence, the  correct measurements to label the unknown lengths in the figure 5 cm and 10cm.

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Final answer:

Given that △LMN is congruent to △PQR, the true congruency statements are QP≈ML, MN≈QR, ∠M≈∠Q, and ∠R≈∠N.

Explanation:

When two triangles are congruent, it means that they have the exact same size and shape, with corresponding sides and angles that are equal.

Given that △LMN≈△PQR, we can make the following true congruency statements:

The statements ∠L≈∠M and NL≈PQ cannot be true based on the given triangle congruencies because ∠L and ∠M are angles within the same triangle (△LMN), and cannot be congruent to each other; and the side NL is not part of triangle △LMN.

Answer:

60.00 in^2

Step-by-step explanation:

First focus on the area ABOVE the dotted line.  The shape here is that of a trapezoid.  The two leg lengths are 12 in and 18 in (18 in is the diameter).  At the far right of this trapezoid we can picture a triangle of base 3 in, height h and hypotenuse 5 in.  Using the Pythagorean Theorem, we get h = 4 in.

This 4 in measurement is the width of the trapezoid.  Thus, we are now ready to apply the formula for the area of a trapezoid:  A = (average length of legs)*(width).

Here that area comes out to

       12 in + 18 in

A = --------------------- * 4 in = 15 in*4in = 60 in^2, or (to the nearest hundredth)

                 2                                           60.00 in^2

Answer:

32x

Step-by-step explanation:

Answer:

(x + 3)

Step-by-step explanation:

Answer:

y ≤ 3x  and y > –2x – 1 (close answer)

Step-by-step explanation:

Line pass (-1 , -3) and (0 , 0)

slope = (0 - (-3)) / (0 - (-1)) = 3

y intercept = 0

y = 3x

Everything to the right of the line is shaded: (if include the line) y ≤ 3x

if not include the line and only everything to the right: y < 3x

Line pass (-2 , 3) and (1 , -3)

slope = (-3 - 3) / (1 - (-2)) = -2

y intercept = 3 - ((-2) x (-2)) = -1

y = -2x - 1

Everything to the right of the line is shaded: (if include the line) y ≥ -2x - 1

if not include the line and only everything to the right: y > -2x - 1

in all the options listed, only the first one y ≤ 3x  and y > –2x – 1 close to the equation above. But y ≤ 3x must include the line y=3x (noy mentioned in the question above)

And there is a very small triangle in the 3rd quadrant is in the territory of original building. It should be excluded from the addition.

Answer:

im still confused...

Step-by-step explanation:

Answer:

if 168 chocolate chips weighs 514 ounces then you would divide

514/168=3.220238095

so round to the nearest tenth and get 3.2

you get that there are 3.2 chocolate chips are in one ounce

Step-by-step explanation:

hope this helps and plz give brainiest

Answer:

the ewser is b 3 times as long

Answer: D

Step-by-step explanation:

10 squared is 100 and 11 squared is 121, and 111 is in between those two numbers.

Answer: 10 and 11

Out of the choices all you have to do it 7x7 or 8x8 and etc.

Until one of the choices are the closest.

Answer:

Domain: (-4, ∞)

Range: (-∞,∞)

Step-by-step explanation:

Domain is all of your possible x values and range is all of the possible y values. I may have wrote the brackets wrong but the values are wright.

Given:

The number 12 is the geometric mean between 3 and a number x.

We need to determine the value of x.

Value of x:

Since, we know that the geometric mean is the square root of the product of two numbers.

Hence, we have;

[tex]Geometric \ mean= \sqrt{a \times b}[/tex]

where a and b are two positive numbers.

Substituting Geometric mean = 12, a = 3 and b = x, we get;

[tex]12= \sqrt{3 \times x}[/tex]

Squaring on both sides, we get;

[tex]12^2=3 \times x[/tex]

[tex]144=3\times x[/tex]

Dividing both sides of the equation by 3, we have;

[tex]48=x[/tex]

Thus, the value of x is 48.

Answer:

Less than

Step-by-step explanation:

11/50=0.22

1/4=0.25

0.22 is less than 0.25, so 11/50 is less than 1.4

Hope this helps! :)

Answer:

i think its D on edg

Step-by-step explanation:

Answer:

your answer is.   87.62 amu.    on edg

Step-by-step explanation:

Answer:

y = 24

Step-by-step explanation:

3x + y = 6

Solve for y

Subtract 3x from each side

3x -3x+ y = 6-3x

y = 6-3x

Let x = -6

y = 6 -3(-6)

   =6+18

   =24

1. 3x + y = 6

2. 3(-6) + y = 6

3. -18 + y = 6

4. +18 +18

5. y = 24

Therefore, 3(-6) + (24) = 6

-18 + 24 = 6

You’re welcome :D

Answer:

[tex]60 = 10x \\ x = 6[/tex]

Answer:

x=6

Step-by-step explanation:

86= 10x + 26

Subtract 26 from each side

86-26 = 10x+26-26

60 = 10x

Divide each side by 10

60/10 = 10x/10

6 = x

Answer:

3c+5s+9c+10s= total cost

or

12c+15s= total cost

Step-by-step explanation:

Lena bought 3 cans of soft drinks, or 3c

she also bought 5 sandwiches, or 5s

Patrick bought 9 cans, or 9c

he also bought 10 sandwiches, or 10s

if you add them all up you would get the total cost

Answer:

m<4=30

Step-by-step explanation:

according to the attached file above

m<2=30

and 2=4 (according to file attached)

.: m<4=30

Angle 2 and angle 4 are vertically opposite angles thus m∠2 = m∠4 = 30° so option (B) is correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given two intersecting lines.

Angle 2 and angle 4 are vertically opposite angles.

It is known that vertically opposite angles are the same thus m∠4 = 30°.

Hence "Angle 2 and angle 4 are vertically opposite angles thus m∠2 = m∠4 = 30°".

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Answer:m<E=tan-1(3/4.6)

Step-by-step explanation:

The triangle is an illustration of a right triangle

The equation that could be used to find angle E is [tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]

To calculate angle E, we make use of the following tangent ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(E) = \frac{3}{4.6}[/tex]

Take the arc tan of both sides

[tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]

Hence, the equation that could be used to find angle E is [tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]

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Answer:

If she drives the car 150 miles, option A costs more. It'll cost $30 more.

The options cost the same if she drives 75 miles. If she drives less than 75 miles, option A costs less.

The required answer for (a) if Milan drives car 150 miles then Option A costs more $30 than Option B

Also the answer for (b) is the two Options costs same at 150 miles

Cartesian System:

The horizontal line called x-axis and vertical line called y-axis represent the position of any moving object.

Here we have assigns x-axis as miles driven by rental car

and y-axis is assigned as costs

Also we have given

Option (1) : The red line in the given graph

Option (2) : constant parallel line to the x-axis with costs $50

By observing the graph

(a)

At 150 miles at x-axis we found Option B costs $50 while Option A costs $80 which is 80 - 50 = $30 more than Option B

(b)

If we observe the intersecting point of these line then it is (75, 50)

This shows the equal costs $50 will be gain at 75 miles driven

If Milan drives less than this 75 miles then Option B is less costs.

This is the conclusion to the answer.

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Answer:

-750

Step-by-step explanation:

Q(h)=-8h^2-5h ,

Let x = -10

q(-10) = -8 (-10)^2 -5(-10)

          =-8 *100 +50

            =-800+50

            = -750

Answer:

Just keep answering questions :)

Answer:

180

Step-by-step explanation:

that is my answer it will help you

Answer:

208

Step-by-step explanation:

Answer:

I got it right on the test

Answer: D

Step-by-step explanation:

A triangular prism. The triangular sides have a base of 6, height of 4, and side lengths of 5. The height of the prism is 10. A second triangular prism. The triangular sides have a base of 6, height of 2, and side lengths of 3.6. The height of the prism is 10.

What is the surface area of this composite solid?

___________ square units

  104

  122

  158

√208

Answer:

[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]  

[tex]p_v =P(z<-3.137)=0.0009[/tex]  

Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%

Step-by-step explanation:

Data given

n=6997 represent the random sample taken

X=1296 represent the returned surveys

[tex]\hat p=\frac{1296}{6997}=0.185[/tex] estimated proportion of  returned surveys

[tex]p_o=0.2[/tex] is the value that we want to test

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to test the claim that the true proportion of returned surveys is less than 0.2.:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]  

Statistical decision  

The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

[tex]p_v =P(z<-3.137)=0.0009[/tex]  

Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%

We formulate a null and alternative hypothesis about the survey return rate. Then, given the returned survey and total survey counts, we calculate a sample proportion, standard deviation, and a z-score. Using this z-score, we compute a p-value, which is checked against the given significance level to make a decision about the hypothesis.

In this scenario, we are interested in whether the cell phone survey return rate is less than 20%. So we can set our null hypothesis (H0) as: The return rate is 20% or more, and our alternative hypothesis (Ha) as: The return rate is less than 20%.

Given that 12961296 surveys were returned out of 6997, we can compute the sample proportion (p). Then, we calculate the standard deviation (sd) of the sampling distribution of the proportion (assuming H0 is true - i.e., the proportion in the population is 20%).

Using this sd and the sample proportion, we can calculate the z-score. The p-value would be the probability of getting a z-score as extreme as what we got, assuming H0 is true. If the p-value is less than the significance level (0.01), we would reject the null hypothesis. If it's higher, we fail to reject the null.

Note: Due to the likely typographical error in the given number of returned surveys, the precise computation cannot be done here.

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