If 42 push ups can be done in 3 minutes how many push ups in 5 minutes

The piece of information which would have to be marked on the triangle to show congruence by the HL theorem is ac = dc which is denoted as option C.

It states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.To use HL hypotenuse and one leg of triangles must be equal which means that :

AB = DE (hypotenuse)

AC = DC  (leg)

This means that the additional information  which  will allow you to prove the triangles congruent by the HL Theorem is AC = DC.

Read more about HL theorem here https://brainly.com/question/29104848

#SPJ1

The full question is:

What additional information will allow you to prove the triangles congruent by the HL Theorem?

choices

A = E

bce= 90

ac = dc

ac=bd

The solution to equation is sinx.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

Given;

The equation cosine of the quantity x plus 3 times pi over 2

Using the expression for the cosine of a sum of angles:

cos(a + B): = cos a cos B - sin a sin ß

we have:

cos(x+3pi/2)

=cos(3pi/2)cosx- sin(3pi/2)sinx

=sinx

Therefore, the solution of trigonometric equation will be sinx

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ1

Answer:

see below

Step-by-step explanation:

if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

so <1 and <2 = 90

m<3 = 90

a. The values of Q1 = 355, Q2 = 510, Q3 = 910, range = 980 and IQR = 555.

b. The lower bound is not applicable and the upper bound is 1195. There are no outliers.

c.  The value at the 70th percentile is approximately 725.6 calories.

a. For the calories of each burger, we will find the Q1, Q2, and Q3, range, and IQR as follows -

Arranging the calorie values in order from smallest to largest we get,

250, 300, 410, 430, 445, 460, 510, 540, 670, 710, 840, 980, 1230.

The median of the lower half (from 250 to 540) is the average of the two middle values: (300 + 410) / 2 = 355.

Therefore, Q1 = 355.

Arranging the calorie values in order from smallest to largest we get,

250, 300, 410, 430, 445, 460, 510, 540, 670, 710, 840, 980, 1230.

The middle value is the median: Q2 = 510.

Arranging the calorie values in order from smallest to largest we get,

250, 300, 410, 430, 445, 460, 510, 540, 670, 710, 840, 980, 1230.

The median of the upper half (from 670 to 1230) is the average of the two middle values: (840 + 980) / 2 = 910.

Therefore, Q3 = 910.

Range = 1230 - 250 = 980.

IQR = Q3 - Q1 = 910 - 355 = 555.

b. To calculate the outlier boundaries, we need to first calculate the lower and upper limits as follows -

Lower bound: Q1 - 1.5 x IQR

Upper bound: Q3 + 1.5 x IQR

Lower bound: 430 - 1.5 x 310 = -25

Upper bound: 740 + 1.5 x 310 = 1195

Since there are no negative values for the calories of the burgers, the lower bound is not applicable. The upper bound is 1195, which is higher than the highest value in the dataset (1090). Therefore, there are no outliers.

c. To determine the value at the 70th percentile, we need to first order the calorie values from lowest to highest as follows -

250, 300, 410, 430, 445, 460, 510, 540, 670, 710, 740, 840, 980, 1090, 1230

Next, we will calculate the percentile rank of the 70th percentile -

Percentile rank = (70/100) x (n + 1) = 10.6

Since the percentile rank is not a whole number, we need to interpolate between the 10th and 11th values in the ordered list:

10th value: 710

11th value: 740

Using linear interpolation, we get:

Value at the 70th percentile = 710 + 0.6 x (740 - 710) = 725.6

Therefore, the value at the 70th percentile is approximately 725.6 calories.

Read more about outliers:

brainly.com/question/24195133

#SPJ4

The complete question is -

For the calories of each burger:

a. find q1, q2, q3, the range, and the IQR.

b. calculate the outlier boundaries for the data set. are there any outliers? c. determine the value at the 70th percentile.

It will take the pump 80 minutes to fill the tank completely.

We can find the time to fill the tank by subtracting the current amount of the tank (3/8 of its capacity) from its total capacity. Then, dividing that amount by the flow rate of the pump (which is 1/16 of its capacity per minute).

The calculation is given as:

Remaining amount to fill = Total capacity - Current amount = 1 - 3/8 = 5/8

Time to fill completely = Remaining amount ÷ Flow rate = 5/8 ÷ (1/16) = 80 minutes

So, it will take the pump 80 minutes to fill the tank completely.

To know more about Tank filling Question:

https://brainly.com/question/29183914

#SPJ4

____ The given question is incorrect, the correct question is given below:

If a pump fills a tank in 16 minutes and the tank currently has 3/8 of its capacity, then we can calculate how many minutes it will take to fill the tank completely.

The number increase by a percentage of 76.29 over the given period of time.

To calculate the percent increase, we need to find the difference between the two values and divide that by the original value, then multiply by 100 to express the answer as a percentage:

If in 1995, a total of 945477 graduating seniors took the exam, and in 2012, the number of graduating seniors taking the ACT exam was 1666809, then the percent increase from 1995 to 2012 is:

(1666809 - 945477) / 945477 = 0.7629 x 100 = 76.29%

Therefore, the number of graduating seniors taking the ACT exam increased by 76.29% between 1995 and 2012.

Learn more about percent increase here: https://brainly.com/question/3472366

#SPJ4

Answer:

that answer should be wrong?

Answer:

-84

Step-by-step explanation:

To simplify the expression 20^2 - 22^2, we'll first square both 20 and 22:

20^2 = 20 * 20 = 400

22^2 = 22 * 22 = 484

Now, we can substitute these values back into the original expression:

400 - 484 = -84

So 20^2 - 22^2 = -84.

Answer:

40/7

Step-by-step explanation:

3 3/7 divided 4 4/5+1 1/7 * 4 3/8

3 3/7 = 24/7

4 4/5 = 24/5

1 1/7 = 8/7

4 3/8 = 35/8

So, our equation is

24/7 divided 24/5 + 8/7 · 35/8

120/168 + 8/7 · 35/8

120/168 + 280/56

120/168 + 840/168

960/168

240/42

120/21

40/7

Answer:

The answer is 24%

Step-by-step explanation:

Your welcome have a nice day!

The value of y for that, the three horizontal lines would be parallel, is 7√2/ 16.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

A right-angled triangle.

Sin60° = Perpendicular/hypotenuse

Hypotenuse = 8

To find the value of y for that, the three horizontal lines be parallel:

The parallel lines are equally spaced.

So,

8 / 16 = y / 7√2/8

y =  7√2/ 16

Therefore, the value of y is 7√2/ 16.

To learn more about parallel lines;

brainly.com/question/16701300

#SPJ1

the value of a will be 15 in equation 3 a plus b equals 54 when b equals 9.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, equation 3 a plus b equals 54 when b equals 9

In numerical form,

3a + b = 54

and b = 9

Comparing these equations

3a + 9 = 54

3a = 45

a = 15

Therefore, the value of a will be 15 in equation 3 a plus b equals 54 when b equals 9.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ1

As a result, the angle CBF has a 61 degree value.

When two consecutive lines or beams intersect at a single terminus, an angle is created. The apex of an arc is the location where two points come together.

Since Ray BF splits angle BCD into two equal portions because it is an angle bisector, the measures of angle CBF and angle DBF are the same. Consequently, we can write:

3z + 7 = 5z - 29

Simplifying and solving for z:

2z = 36

z = 18

Now we can substitute z = 18 into the expression for the measure of angle CBF:

3z + 7 = 3(18) + 7 = 61

Therefore, the measure of angle CBF is 61 degrees.

To know more about Angle visit:

https://brainly.com/question/24475840

#SPJ1

The missing values of Deviation of July is 289.17, August is 339.17, September is 14800.17, whereas, October, November and December are -65.83, 10690.17 and -480.83 respectively.

When determining the standard deviation: By combining the data points and dividing the result by the number of data points, you may determine the mean, or average, of the data points. Each data point's mean should be subtracted, and the results should then be squared.

Month               sales                          Average                           Deviation:

July                    $1,750                      1,460.83                                     289.17

August              $1,800                      1,460.83                                      339.17

September        $1,6251,                   1,460.83                                  14800.17

October            $1,395                      1,460.83                                      -65.83

November        $1, 2151                     1,460.83                                  10690.17

December           $980                      1,460.83                                   -480.83

To learn more about Deviation click here

brainly.com/question/10563829

#SPJ4

Just evaluate the line in the values of the point and check if the equation is true or not.

So let's say line l has an equaiton known:

y = a*x +b

To check if a point is on the line, just replace the values of the point on the line equation, if the equation is true, then that point belongs to the line, if don't, then the point does not belong to the line.

That is the only way to check that.

LEarn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

In linear equation, 80 cups of water will yonni need to replace all the water in the fish tank.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Now, as we know:

1 quart  = 0.25 gallons

⇒ 4 pints =  1  gallons

⇒ 8 pints =  2 gallons

Also, 1 pint  = 0.5 quart

⇒ 2 pints =  1 quarts

⇒ 8 pints =  4 quarts

⇒ 16 pints =  8 quarts

Again,  1 cup = 0.5 pint

⇒ 2 cup  = 1  pint

⇒ 32 cup  = 16  pints

so 16 * 5 = 80 cups

Learn more about linear equation

brainly.com/question/29739212

#SPJ4

Answer:

0.80 m/s

Step-by-step explanation:

rate = 40 m / 50 s = 0.8 m/s

The data given has: a) A strong correlation, b) A positive correlation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related, meaning they change together at a constant rate.

We have ordered pairs in the data as:

x             y

1             2

2            3

3            8

4            10

5            26

6            38

7            46

8            50

9            68

Plotting the graph (attached)

Clearly, on plotting the scatter plot on the basis of table of values, we see that the relation is a strong correlation since we can find a relationship between variable x and y.

i.e. the points will lie above or below the curve  which is formed by connecting some points of the scatter plot and are not scattered away.

Hence, the data above has: A strong correlation.

Also, the graph is a positive correlation since with the increasing value of x the y-value also increases.

Learn more about correlation, click;

https://brainly.com/question/28898177

#SPJ1

Answer:212

Step-by-step explanation:

$2000 - $200 = $1800

$1800/$8.50 = 211.76 round up to 212

Emma's total test score for the class is 156.5 out of 100.

We can calculate Emma's total score by considering the weight of each component of her grade and adding them up.

First, we can find the total score from the three tests:

(71 + 75 + 79) * 0.15 * 3 = 101.55

Next, we can find the score from the project:

85 * 0.10 = 8.5

Next, we can find the score from the final:

80 * 0.20 = 16

Finally, we can find the score from the homework:

87 * 0.35 = 30.45

The total score is the sum of all these components:

101.55 + 8.5 + 16 + 30.45 = 156.5

So, Emma's total score for the class is 156.5 out of 100.

Learn more about test score here :

brainly.com/question/28544266

#SPJ4

The diameter of the earth is 3.66 times larger than the diameter of the moon.

The mean radius of the earth is 6.37 x 10^6 meters,

Re = 6.37 x 10^6 meters

The mean radius of the moon is 1.74 x 10^6 meters.

Rm = 1.74 x 10^6 meters

To compare the size of the diameter,

D = De/Dm = 6.37 x 10^6 / 1.74 x 10^6

Diameter of the earth is 3.66 times larger than the diameter of the moon.

In geometry, a circle's diameter is any straight line segment whose centre is on the circle and whose ends are on the circle. The longest chord of the circle is another name for it. Either of the two approaches can be used to determine the diameter of a sphere.

Learn more about Diameter:

https://brainly.com/question/11519187

#SPJ4

The correct equation and solution are: D

$43. 6\ +\ 14. 3\ =\ m$

$m\ =\ 57. 9$

This equation represents the total distance traveled by the train (43.6 miles + 14.3 miles) and gives the correct answer of 57.9 miles traveled by the train.

In equation D, we add the 43.6 miles traveled with the 14.3 miles left to travel to find the total distance traveled by the train, which is 57.9 miles. This equation and solution correctly represent the number of miles traveled by the train.

The other equations and solutions  do not accurately represent the information given in the problem and do not lead to the correct answer.

To know more about Equations

https://brainly.com/question/22688504

#SPJ4

Answer: look at the image and better give me brainliest

Step-by-step explanation:

The inequality equation is x ≥ 48 inches

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the minimum height to ride the roller coaster be represented as x

Now , the required height to ride the roller coaster is = 48 inches

So , the individual must be equal to 48 inches tall

x = 48 inches

And , the individual could be greater than 48 inches tall

x > 48 inches

Substituting the values in the equation , we get

x ≥ 48 inches

Hence , the inequality is x ≥ 48 inches

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ1

Answer:

Step-by-step explanation:

To find the standard deviation of the population, we first need to find the mean of the population.

Mean = (28 + 28 + 29 + 31 + 28 + 24) / 6 = 28

Next, we need to find the variance of the population.

Variance = [(28 - 28)^2 + (28 - 28)^2 + (29 - 28)^2 + (31 - 28)^2 + (28 - 28)^2 + (24 - 28)^2] / 6

Variance = (0 + 0 + 1 + 9 + 0 + 16) / 6 = 2.67

Finally, we can find the standard deviation of the population by taking the square root of the variance.

Standard deviation = sqrt(2.67) ≈ 1.63

Therefore, the standard deviation of the population is approximately 1.63 seconds.

Jake will have traveled 36 miles in his boat after 3 hours at a speed of 12 mph.

What is Distance?

Distance is defined as the space between two points in space.

To find out how far Jake will have traveled after 3 hours, we can use the formula:

distance = speed x time

where speed is the rate at which Jake is traveling and time is the duration of the travel. In this case, the speed is 12 mph and the time is 3 hours.

So, the distance traveled after 3 hours is:

distance = 12 mph x 3 hours = 36 miles

Therefore, Jake will have traveled 36 miles in his boat after 3 hours at a speed of 12 mph.

To know more about Distance visit,

https://brainly.com/question/26550516

#SPJ4

The angles m∠APE and m∠EPD are complementary angles and so the measure of angle m∠EPD is equal to 20° which makes option D correct.

In geometry, if two angles are said to be complementary, then the total of their sum is equal to 90°.

The angles m∠APE and m∠EPD are complementary angles so we evaluate for the angle m∠EPD as follows:

m∠APE + m∠EPD = 90°

70° + m∠EPD = 90°

m∠EPD = 90° - 70° {subtract 70° from both sides}

m∠EPD = 20°.

Therefore, the measure of angle m∠EPD is equal to 20°.

Know more about complementary angles here:https://brainly.com/question/98924

#SPJ1

Answer:

1. 62.8

2. 3.14

Step-by-step explanation:

It is important to note that the circumference formula is pi times 2 times radius. Radius for bigger circle is 10 so its circumference would be 62.8 (3.14 times 2 times 10) where was the radius for small circle is 31.4 (3.14 times 2 times 5) so subtract 31.4 from 62.8 and you get your answer.

Answer:

20 - (6 + b)

Step-by-step explanation:

ur mom

KN is 6 units long, AL is 6 units long, AR is 10 units long, and RG is 4 units long.

A line segment is a section of a straight line that is bounded by two different end points and contains every point on the line between them. The Euclidean distance between the ends of a line segment determines its length. A line segment has endpoints, but a line can be extended forever on both ends. A line segment is a section of a line that links two places known as the line's endpoints. It is possible to measure the distance between two places. Because line segments have a fixed length, they may be used to create the sides of any polygon.

Here,

They are equal in ratio.

4/8=x/12

x=6 units

4/8=3/y

y=6 units

4/8=5/z

z=10 units

4/8=2/p

p=4 units

The length of line segment KN is 6 units, AL is 6 units, AR is 10 units and  RG is 4 units.

To know more about line segment,

https://brainly.com/question/30072605

#SPJ1