A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.

Answer:

62.83

Step-by-step explanation:

Answer:

58 Degrees

Step-by-step explanation:

if <3 is 110 degrees find the number of degrees

Answer:

2/8 - 1/5x

1/4 - 1/5x

5/20 - 4/20x

*all possible answers listed above*

Step-by-step explanation:

Are there choices?

Answer:

the correct answer is option B

Using it's concept, it is found that there is a 0.2727 = 27.27% probability that the ball drawn is yellow.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that the probabilities are as follows:

Then, the probability of picking a yellow ball is given by:

[tex]p = \frac{1}{3}\left(\frac{3}{11} + \frac{5}{11} + \frac{1}{11}\right) = \frac{9}{33} = 0.2727[/tex]

0.2727 = 27.27% probability that the ball drawn is yellow.

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Answer:

Step-by-step explanation:

Answer:

This is a case of direct variation. Hence,

210/1=x/2

x=420

since 2 pandas eat it each day hence

420/7

=60

60 pounds is the answer.(sure)

Step-by-step explanation:

Hope it helps you.

Answer: 60 pounds

Step-by-step explanation:

210 pounds a week

Divide by 7 days (a week)

Equals 30 pounds a day/ per panda

There is 2 pandas so 30 pounds times 2 equals 60 pounds

Answer:

Step-by-step explanation:

2+4(6-2x)=8

2+24-8x=8

26-8x=8

26-8=8x

18/8=x

2.25=x

substitute the value of x

2+4(6-2x)

2+4(6-2*2.25)

2+6

8

therefore 8=8 so it is true

Answer:

Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.

Answer:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Step-by-step explanation:

We have the function:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1}[/tex]

Here we have a problem when x = 1, because that makes the denominator to be equal to zero.

For now, let's see what happens to the numerator when x = 1

1^2 + 11*1 - 12 = 12 - 12 = 0

So x = 1 is a root of the numerator.

Let's find the other root of the numerator, here we can use Bhaskara's formula:

[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1} = \frac{-11 \pm 13}{2}[/tex]

Then the two roots are:

x = (-11 + 13)/2 = 1

x = (-11 - 13)/2 = -12

And remember that a quadratic equation:

y = a*x^2 + b*x + c

With roots p and k, can be written as:

y = a*(x - p)*(x - k)

Then we can rewrite our numerator as:

1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)

Replacing that in the equation for f(x), we get:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)} = \frac{x - 1}{x -1} *(x + 12)[/tex]

f(x) = x + 12

And, when evaluated in x = 1, we get:

f(1) = 1 + 12 = 13

Then the correct option is:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Answer:

C

Step-by-step explanation:

I said so

Answer:

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.

This means [tex]\mu = 0.325, \sigma = 0.065[/tex]

Sample of 44

This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]

What is the probability of x >= 0.337 if the windows meet the standards?

This is 1 subtracted by the p-value of Z when X = 0.337. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]

[tex]Z = 1.225[/tex]

[tex]Z = 1.225[/tex] has a p-value of 0.8898

1 - 0.8898 = 0.1102

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Answer:

10-15

Step-by-step explanation:

Median is the middle of the numbers (or in this case, number sets)

The middle number set is the third.

Thus, the interval would be 10-15.

Answer: 5-10

Step-by-step explanation:

the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval

The measure of m∠z is 135°.

A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.

As, Each inner angle is the same measure because it is a regular octagon.

To calculate the interior angle sum of a polygon, we have a formula.

The total internal angle of a polygon

= (n -2)180°, where "n" is the number of sides.

Here, n = 8

Then, sum of the interior angles.

= (8 -2)180

= 6 x 180

= 1080°

Thus, the measure of m∠z = 1080/ 8  = 135°

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Answer:

x = -4, -5, -6, -7...

Step-by-step explanation:

x = all negative integers less than -3

Answer:

A) 6

Step-by-step explanation:

Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

Given:

Joe swim = 3 meter north

Jow swim = 5 meter south

Find:

Distance travel by Joe

Displacemnet by Joe

Computtaion:

The overall travel of an item without consideration to direction is called distance.

So,

Distance travel by Joe = 3 + 5

Distance travel by Joe = 8 meter

The term "displacement" refers to a shift in an object's location.

Displacemnet by Joe = 5 - 3

Displacemnet by Joe = 2 meter South

Answer:

dA/dt = 31  in²/ sec

Step-by-step explanation:

The area of the triangle is:

A(t)  = (1/2)*b*h     where  b is the base and h the height

Differentiation on both sides of the equation we obtain

dA/dt  =  (1/2)* db/dt * h + (1/2)* dh/dt * b   (1)

db/dt  = 3 in/sec

dh/dt =  2 n/sec

b =  10 in

h = 14 in

By substitution in (1)

dA/dt =  0,5* 3*14 +  0,5* 2*10

dA/dt =  21 in² /sec + 10 in²/sc

dA/dt = 31  in²/ sec

According to the question,

The equation will be:

By solving the bracket, we get

→ [tex]2x + 8 - 6 = 5[/tex]

→       [tex]2x +2 = 5[/tex]

By subtracting "2" from both sides, we get

→ [tex]2x+2-2= 5-2[/tex]

→             [tex]2x = 3[/tex]

                [tex]x = \frac{3}{2}[/tex]

Thus the above answer is correct.

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Answer:

C.

Step-by-step explanation:

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Answer:

217.96 or 218.0 in Big Ideas Math

Step-by-step explanation:

volume of the whole prism - smaller inner prism

Bigger Prism (apothem = 4, height = 6)

360/5 = 72   72/2 = 36

4 · tan (36) = 2.906

2.906 · 4 = 11.6247

11.6247 · 5 = 58.1234  ← The area of the Pentagon

58 · 6 = 348.740 ← The Bigger Prism Volume

Smaller Prism (apothem = 3, height = 4)

Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)

3 · tan (36) = 2.1796

2.1796 · 3 = 6.5389

6.5389 · 5 = 32.6944  ← small Pentagon Area

32.6944 · 4 = 130.7777  ← Small Pentagon Prism Volume

Final Step

Area of big prism - small prism

348.74041 - 130.7777 = 217.9627

Round to the nearest tenth ⇒ 218.0

Answer:

The decision tree is a explained as follows

Step-by-step explanation:

Currently two options are available

   3. If he buys a used refrigerator for $200 there is 40% chance that it will work for next three years. $80 ($200 * 40%)

              a. Repair the refrigerator for $150. $90 ($150 * 60%)

              b. Buy a new refrigerator for $600. $360 ($600 * 60%)

Answer:

1:

6y-3+y

D =7y-3

2.

50C

3.

6÷K

4.

7-x

5.

8p-4p

6.

2g-3

7.

1-7/p

D.(p-7)/p

Answer:

D. Length

Step-by-step explanation:

We measure the length of a line segment, and thus, the correct answer is given by option D.

The length of a line segment is the distance between it's endpoints, using the formula for the distance between two points given below.

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Answer:

x=5

Step-by-step explanation:

4(−1)+3=31

4−4+3=31

Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

Answer:

The second, the third and the last statement is true.

Hope this helps!

Answer:

11.2 cm

Step-by-step explanation:

62.72 / 5.6 = 11.2

Answer:

Option A, 130°

Hope this helps!

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

The 9th term of a sequence is 39, 366.

In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

We have the series: 6, 18, 54, ...

as, the series in Geometric Progression.

So, the common ratio = 18/6 = 3

and, 54/ 18= 3

Using the formula

[tex]a_n[/tex] = a[tex]r^{n-1[/tex]

So, for n= 9

[tex]a_9[/tex] = a[tex]r^{9-1[/tex]

[tex]a_9[/tex] = a[tex]r^{8[/tex]

[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

[tex]a_9[/tex] = 39,336

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