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Answer:

because SRC is the outer angle of the triangle STR

=> SRC = STR + TSR

<=> 101 = 4x + 12 + 7x + 12

<=> 101 = 11x + 24

=> 11x = 77

<=> x = 7

Answer:

7

Step-by-step explanation:

➝4x+12+7x+12=101°

➝4x+7x+12+12=101°

➝11x+24=101°

➝11x=101-24

➝11x=77

➝x=77/11

➝x=7

Answer:

61.1

Step-by-step explanation:

Here, we simply add the two numbers together.

25+36=61

0.5+0.5=1

so, the answer is 61.1

Answer:

domain = - 2, 1, 0, 1, 4, - 1

range = - 4, 3, 0, 4, 6, - 2

Step-by-step explanation:

x is domain

y is range

Answer:

A≈276.46km²

d Diameter

8

km

h Height

7

km

Answer:

The answer is c=15.

Step-by-step explanation:

.......

The length of 9/16 of an inch threaded section of the pipe indicates that the new length of the threaded section after 4/32 of an inch is trimmed off obtained by the difference between the fractions is; C. 7/16 of an inch

A fraction is the representation of only a part of a whole of an item in the form of a quotient, consisting of a numerator, being divided by a denominator.

The length of the threaded section of the pipe = 9/16 of an inch

The length of the threaded part trimmed off due to an error = 4/32 of an inch

The new length of the threaded section following the trimming off of 4/32 is therefore;

New length of the threaded section = 9/16 - 4/32

The value of the difference between the fractions is found as follows;

[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{2 \times 9 - 4}{32} = \dfrac{14}{32}[/tex]

[tex]\dfrac{14}{32}=\dfrac{7}{16}[/tex]

Therefore;

[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{7}{16}[/tex]

The new length of the threaded section will be 9/16 - 4/32 = 7/16

The correct option that indicates the new length of the threaded section is C. 7/16

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Answer: 1-i

Step-by-step explanation: If your in algebra 2 then this is the answer

Answer:

If she played on the swings for 24 minutes and on the slide for 13, then she was at the playground for 37 minutes.

If she left the playground at 4:28, then you want to subtract 37 minutes from 4:28.

4:28 - :37 = 3:51.

She arrived at the playground at 3:51

Step-by-step explanation:

Hope it helps! =D

Answer:

3:51 p.m.

Step-by-step explanation:

Add the two amounts of time:

24 minutes + 13 minutes = 37 minutes

She was at the park for 37 minutes. She arrived at the park 37 minutes before 4:28 p.m.

Now we subtract 37 minutes from 4:28 p.m.

Remember that 1 hour = 60 minutes, so when you borrow 1 hour to do the subtraction, you add 60 minutes to the minutes of the time of day.

Borrow 1 hour from 4 hours as 60 minutes. You end up with 3 hours. Then add the 60 minutes to the 28 minutes to get 88 minutes.

4:28 p.m. is the same as 3:88 p.m.

     4:28 p.m.                             3:88 p.m.

-     0:37                 ----->         -  0:37

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

                                                  3:51 p.m.

Answer: 3:51 p.m.

Answer:

24 cm^3

Step-by-step explanation:

you do length times width times height.

The numeric value of the function d(t) = 12t + 20 at t = 4 is given as follows:

d(4) = 48.

The interpretation of this numeric value is that after a time of 4 hours, Joanna has cycled 68 miles.

The function for this problem is defined as follows:

d(t) = 12t + 20.

The meaning of each variable is given as follows:

The numeric value at t = 4 is obtained replacing the lone instance of t in the function by 4, as follows:

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68 miles.

Meaning that after a time of 4 hours, the distance cycled by Joanna was of 68 miles.

The function for this problem is defined as follows:

d(t) = 12t + 20.

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Answer:

$30 per sweater is how much profit the store will make

Step-by-step explanation:

The cost of 1 sweater (for the store) is $6.

The store sells the sweater for $36 (504/14).

The store is making $30 per sweater.

Answer:

7/

Step-by-step explanation:

3/4 * 7/

3 can be crossed

Leaving 7/

9 books cost 32

Step-by-step explanation:

5 books =20

1 book= 5÷20 = 4

9 books = 4×9 = 32

Answer:

36

Step-by-step explanation:

5books=20

9books=??

9×20=180

180÷5=36

Answer: The question is asking for the number of households that have between 3.67 and 4.35 people, which corresponds to the number of households whose number of people per household falls within one standard deviation of the mean.

A normal distribution is symmetric, so approximately 68% of the data falls within one standard deviation of the mean. So, we can estimate that approximately 68% of the 1,500 households have between 3.67 and 4.35 people.

The calculation is:

1,500 households x 68% = 1,020 households

So, approximately 1,020 households have between 3.67 and 4.35 people.

This is a rough estimate and the actual number may be slightly different, but it can be considered as a good approximation. From the given options, The answer closest to 1,020 is 945 households.

Step-by-step explanation:

The exact value of tan  θ = 15/ 8

Trigonometric Identities are defined as the equalities involving trigonometry functions and also one that holds true for all the values of the variables  in the given equation.

The trigonometric functions are;

From the information given, we have;

tan θ = opposite/ adjacent

To determine the adjacent sent

17² - 15² = x²

x = √64

x = 8

Substitute the value

tan θ = 15/8

Hence, the value is 15/8

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Lateral Area of a Cylinder=2πrh

= 2 x π x 7 x 24

=336π

Option D

Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.

The cost of shipping through two different companies will depend on a variety of factors.

These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.

Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).

To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.

Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.

It is important to note that companies may offer discounts or other incentives for shipping with them.

Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.  

Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.

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Answer:

volume of a cube=5³cm³

=125 cm³

volume of the cuboid=20×10×5

=1000 cm³

number of cubes=1000/125

=8 cubes

Answer:

The correct option depends on the ACT z-score. If it's higher than 1.47 the best option is the ACT while if it's lower the best option is the SAT.

Step-by-step explanation:

Z-score:

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.

In this question:

Whichever test has the higher z-score should be taken.

SAT scores are normally distributed and in the state of Ohio in 2017, the mean was 1149 with a standard deviation of 212. To get accepted into Yale, you need an SAT of 1460.

This means that [tex]X = 1460, \mu = 1149, \sigma = 212[/tex]

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

[tex]Z = \frac{1460 - 1149}{212}[/tex]

[tex]Z = 1.47[/tex]

Z-score for the ACT:

We don't have the mean.

But the correct option depends on the ACT z-score. If it's higher than 1.47 the best option is the ACT while if it's lower the best option is the SAT.

Answer:

C. 434π

Step-by-step explanation:

Given:

Radius (r) = 7 in.

Height (h) = 24 in.

Required:

Surface area of the cylinder

Solution:

S.A = 2πrh + 2πr²

Plug in the values

S.A = 2*π*7*24 + 2*π*7²

S.A = 336π + 98π

S.A = 434π

First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.

Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:

time = distance/rate

time = 26/6

time = 4.33 hours

Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:

time = 26/7.5

time = 3.47 hours

Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:

time = 2 + (36/60)

time = 2 + 0.6

time = 2.6 hours

In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.

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Answer:

234 pounds

Step-by-step explanation:

100% - 2.5% = 97.5%

(0.975)(240) = 234

234 pounds

Answer:

Dan pays £234 now.

Step-by-step explanation:

240 - 2.5% * 240 = 234

Therefore, he pays £234.

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Aswer:

36.60-25.60= 11

Step-by-step explanation:

Check the picture below.

Answer:a) 10. have +05 x 2 P= 0.025 p(x - 2) (B) - (-2)-2 (5) 5-2 (0 •025) ( 1 - 0 025) 3 0 • 00 57 9287 n - 2 . x - -6 m-6 b) we have p= 0 45 p(x = 6) = (P)...

Step-by-step explanation:

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.

Here,

Given : Diameter = 8

Radius = 8/2 = 4cm

To find the semi circle area

=>semi circle area = πr²

=>  22/7 * 4² *1/2

=>  25.1 sq cm

To find the perimeter of semi circle :

=> 2πr /2

=> πr

=> 22/7*4

=>12.5 cm

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

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The slope of the line is 1.25 and the value of x is 12.

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. A line's slope provides information on the steepness and direction of the line. the angle at which two straight lines intersect.

Given that:

rise =10

run = 8

The slope is determined by the following formula:

Slope = Rise / Run

[tex]Slope = \frac{10}{8} = 1.25[/tex] .

The slope of a line equation is given by:

[tex]y_2 - y_1 = m (x_2-x_1)[/tex]

Here, m is the slope of the equation.

Substitute the value of [tex]m= \frac{10}{8}, y_2=21 , y1= 6, x_2 =x, x_1= 0[/tex] in the equation.

[tex]21-6 = \frac{10}{8}(x-0)\\ \\15= \frac{10}{8} (x)\\\\(15)(8) = 10x\\\\120=10x\\\\x=12[/tex]

Hence the value of x is 12.

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Answer:

The slope of the line is 1.25 and the value of x is 12.

Step-by-step explanation: