John is constructing a triangle with two sides 5 cm and 7 cm and the included angle is 70°. First, John draws a 5 cm segment on his paper. He is not sure how to construct the 70° angle. What should he do?

Answer:

Just 22.1

Step-by-step explanation:

if you dont want to see step by step like the one above just put in 22.1

The volume of the cylindrical fish tank is 25446.90 inches cube.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The formula for the volume of a cylinder is:

The area of cross-section x the height.

Since the cross-section is a circle, we use the formula π x r²

Radius= 30 / 2 =15

Thus, Area of cross-section

π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section,

706.8583471 x 36 = 25446.90049

                                = 25446.90 (2dp)

So. the volume  is 25446.90

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In 35,187, the digit 5 represents 50,000. Ten times this value is 500,000. Therefore, in the new number, the digit 5 represents 500,000.

To find the value represented by the digit 5 in the number 35,187, we need to consider its place value. In the given number, 5 is in the ten-thousands place, which means it represents 5 * 10,000 or 50,000.

Now, we're asked to find a number where 5 represents a value ten times that of its representation in 35,187. So, we need to multiply 50,000 (the value represented by 5 in 35,187) by 10.

50,000× 10 = 500,000.

Therefore, in the new number, the digit 5 represents 500,000.

To summarize, the number where 5 represents a value ten times its representation in 35,187 is 500,000.

complete question=

Which number represents a value 10 times the value represented by 5 in 35,187?

The interquartile range of the data set summarized in the boxplot is 22.

The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.

Interquartile range = 70 - 48 = 22

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Final answer:

To determine the total number of registered doctors, one can use the percentage of female doctors and the number of female doctors to calculate the overall total. By dividing 57,800 by 0.238, you find there were approximately 242,857 registered doctors.

Explanation:

The question asks for the total number of registered doctors, given that 23.8% are female and there are 57,800 female registered doctors. To find this, we use the formula:

Percentage (%) = (Part/Total) × 100

First, we express the percentage as a decimal by dividing it by 100, so 23.8% becomes 0.238. Next, we will rearrange the formula to solve for the Total:

Total = Part / Decimal Percentage

So we have:

Total = 57,800 / 0.238

Doing the calculation:

Total = 242,857 (approx.)

Therefore, the total number of registered doctors is approximately 242,857.

Answer:

Option C is correct

7/3

Step-by-step explanation:

Formula for slope is given by':

[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]              ....[1]

As per the statement:

The graph shows the best fit line scatter-plot.

Consider two points i.e

(3,12) and (6, 19)

Substitute these points in [1] we have;

[tex]\text{Slope} = \frac{19-12}{6-3}[/tex]

⇒[tex]\text{Slope} = \frac{7}{3}[/tex]

Therefore, the slope of the line of best-fit in the scatter plot is, 7/3

Answer:

A) 2

Step-by-step explanation:

Answer:

the answer would be C

Step-by-step explanation:

Answer:

i think the answer should be

2/9 yd2

hope i helped :)

The required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

In order to evaluate the area of the rectangle we must know the length and width of the rectangle and put this measure of length and width of the rectangle in the formula of area,
Area of the rectangle = length × width

Here,
From the question,
we have length = 23 yard and width  = 13 yards

Area of the rectangle = 23 × 13
                                = 299 square yards

Thus, the required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

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Answer:

b.) 23° and 67°

Step-by-step explanation:

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.  

a.) 18° and 39°

b.) 23° and 67°

c.) 43° and 47°

d.) 65° and 25°

Answer:

Kenya should solve the problems at the rate  0.83 questions per minute.

Step-by-step explanation:

Total number of hours Kenya has to work on 100 questions is 2 hours .

2 hours = 2x60=120 minutes.

Kenya has to work on 100 problems in 120 minutes .

In 1 minute Kenya can solve 100 ÷ 120= 0.83 questions per minute.

Kenya should solve the problems at the rate  0.83 questions per minute.

Frank’s electric bill has a cycle day of the 3rd

And the due date of the bill is 8 days later

that is 3+8 = 11th of that month is the due date

The bill is to be paid by 11th

But 1 day grace period is given

So

11+1

=12

If one pays the bill by 12th of that month , then no penalty will be imposed.

And

Frank pays his electric bill on the 12th of the month

So no penalty will be imposed.

Answer:

[tex]y=3.25x-1[/tex]

Step-by-step explanation:

step 1

Find the slope

we have the points

(2,5.5) and (5,15.25)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{15.25-5.5}{5-2}[/tex]

[tex]m=\frac{9.75}{3}=3.25[/tex]

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

[tex]m=3.25\\point\ (2,5.5)[/tex]

substitute

[tex]5.5=3.25(2)+b[/tex]

solve for b

[tex]b=-6.5+5.5=-1[/tex]

therefore

[tex]y=3.25x-1[/tex]

Answer: c

Step-by-step explanation: