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The measurement of the hypotenuse is obtained as 9 units using the Pythagoras theorem.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

According to the graph -

The perpendicular measures 4 units.

The base measures 3 units.

To find the hypotenuse g apply the Pythagoras theorem -

(hypotenuse)^2=(base)^2+(perpendicular)^2

(g)^2=(3)^2+(4)^2

(g)^2=9+16

(g)^2=25

g=[tex]\sqrt{25}[/tex]

g=5

Therefore, line segment g measures 5 units.

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Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

1)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136[/tex]

[tex]C = \Pi D = 3.14 * 26.4 = 82.896[/tex]

2)

[tex]A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226[/tex]

[tex]C = 2\Pi r = 14.7*2 * 3.14 = 92.316[/tex]

3)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344[/tex]

[tex]C = \Pi D = 3.14 * 32.8 = 102.992[/tex]

4)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625[/tex]

[tex]C = \Pi D = 44.5*3.14 = 139.73[/tex]

5)

[tex]A = \Pi r^2 = 3.14*22.3^2 = 1561.4906[/tex]

[tex]C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044[/tex]

6)

[tex]A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776[/tex]

[tex]C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784[/tex]

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

Step-by-step explanation:

1. a) q=4+0.8(7)

q=4+5.6

q=9.6

b) q=4+0.8(100)

q=4+80

q= 84

2. a) 12=4+0.8p

-4 -4

8=0.8p

0.8 0.8

10=p

b) 60=4+0.8p

-4 -4

56=0.8p

0.8 0.8

70=p

Answer:

Q1. a) q= 9.6

b) q= 84

Q2. a) p= 10

b) p= 70

Step-by-step explanation:

Substitute the equation with the given value and solve the equation to arrive at the answer.

Q1. a) q= 4 +0.8p

When p= 7,

q= 4 +0.8(7)

q= 4 +5.6

q= 9.6

b) q= 4 +0.8p

When p= 100,

q= 4 +0.8(100)

q= 4 +80

q= 84

Q2. a) q= 4 +0.8p

When q= 12,

12= 4 +0.8p

0.8p= 12 -4 (-4 on both sides)

0.8p= 8

p= 8 ÷0.8 (÷0.8 on both sides)

p= 10

b) q= 4 +0.8p

When q= 60,

60= 4 +0.8p

0.8p= 60 -4 (-4 on both sides)

0.8p= 56

p= 56 ÷0.8 (÷0.8 on both sides)

p= 70

The locations of the points on the number line are:

point 1: 1 step to the right of 0.

point 4: 4 steps to the right of 0.

point -3:  3 steps to the left of 0

A number lines is an horizontal straight line in which the integers are placed in equal intervals.

All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.

To locate 1: starting from 0, count 1 step to the right.

To locate 4: starting from 0, count 4 steps to the right.

To locate -3: starting from 0, count 3 steps to the left.

Check the attached image to see the points.

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2.2 laps is a 1 1/2 mile race.

When a driver or a runner makes one trip around the track i.e. one full circle it is called lap.

Given a lap around a track is 2/5 of a mile.

1 lap =2/5 mile

x lap = 11/2 mile

x lap =(11/2) ÷(2/5)

x lap = 11/5 or 2.2

Thus 2.2 laps is a 1 1/2 mile race.

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Answer:

I think it is D

Step-by-step explanation:

Answer:

[tex]y1 = 4 \\ x1 = 3[/tex]

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - 4 = 0(x - 3)[/tex]

[tex]y - 4 = 0[/tex]

[tex]y = 4[/tex]

Answer: 18 different combinations

Step-by-step explanation: When finding out combinations, you just multiply all the numbers. In this case, it would be 3x2x3 which equals 18. Please mark brainliest <3

Answer:

d. Stratified Sampling

Step-by-step explanation:

Stratified Sampling is a form of sampling in which the researcher selects a population sample based on a demographic factor or strata such as race or gender. From the different strata, a random sample is then made such that each group or subpopulation is represented in the final sample.

It should be noted that retaining the percentages while selecting a randomized sample is essential to stratified sampling.

Hence, in this case, when the researcher obtains a list of all enrolled freshmen, manipulates the list so that females appear twice as often as males, and then selects from this list, this is an example of stratified sampling

Answer:

11

Step-by-step explanation:

29-20= 91

2+9=11

11+9=

Answer:

at least 226.2

Step-by-step explanation:

Add the 2 volumes of the scoops, one scoop is 113.1

Answer:

20

Step-by-step explanation:

(6a + 10) = 130

(6 x 20) + 10 = 130

120 - 10 = 130

130 = 130

Answer:

about 11 or 12, the specifically 11.8

Step-by-step explanation:

hope that helps dont know how to do the inequality part tho

Answer:

a

Step-by-step explanation:

it the only one with an area of 17 square inches

Answer: Polygon A is 17 Square units

Answer:

A

Explanation:

If you graph the points and connect them, you'll see the triangle they're asking about. Yhe base of the triangle is 9 and the height is 8. The area of a triangle is half of the base times the height. So multiply 8 by 9 and you get 72. This is twice the area. So divide it by 2 and you get 36, which is the area of the triangle. So the answer is A.

Answer:

Step-by-step explanation:

As per table we have:

32 students in 1 school bus

Answer:

the quotient of g and 25 is g/15.

Given:

The figure of a rhombus.

To find:

The measure of angle 1.

Solution:

First label the vertices of the rhombus as shown in the below figure.

We know that the opposite angles of a rhombus are congruent and the diagonals of a rhombus bisect each vertex angle.

[tex]m\angle ABD=m\angle CBD=30^\circ[/tex]       (Diagonal BD is the angle bisector)

Now,

[tex]m\angle ABC=m\angle ABD+m\angle CBD[/tex]  

[tex]m\angle ABC=30^\circ+30^\circ[/tex]

[tex]m\angle ABC=60^\circ[/tex]  

We know that the consecutive angles of a rhombus are supplementary. It means the sum of each pair of consecutive angles is 180 degrees.

[tex]m\angle BAD+m\angle ABC=180^\circ[/tex]

[tex]m\angle 1+60^\circ=180^\circ[/tex]

[tex]m\angle 1=180^\circ-60^\circ[/tex]

[tex]m\angle 1=120^\circ[/tex]

Therefore, the measure of angle 1 is [tex]m\angle 1=120^\circ[/tex].

The answer is 2.50. This, 250% in deciaml form is 2.50, in improper fraction form is 52 and as a mixed number it is 2 12. 2 1 2.

Answer: AB=7.74in.;m<A

=57*;m<B=33*

Step-by-step explanation

this symbol means degrees *

The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.

A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.

In the case of ungrouped data, all that is required is to find the observation that happens most frequently.

A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean = 36.2 mph

Median = 28.5 mph

Mode = 30.0 mph

As per the question, a car driving through the intersection at 30.0 mph is the most common speed.

This is indicated by the Mode which is the value that appears most frequently in a data set.

Hence, the correct answer would be an option (C).

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[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]

[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]

[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]

[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]

[tex]\sf y = \frac{\red {x}+16}{4} [/tex]

[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]

[tex]\sf 4y = \red {x}+16[/tex]

[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]

[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]

[tex]\sf 4y-16= \red x[/tex]

[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]

_____________________....

[tex] \pmb{\color{purple}{LearningLifell}}[/tex]

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

The problem is of the type permutation without repetition.

What is permutation and combination?

Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.

In the given scenario, the order of cards is a priority therefore, permutation will use.

Also, the cards are not repeating in the scenario.

Therefore, the sequence is permutation without repetition.

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Answer:

Step-by-step explanation:

When increasing the power of an integer by another power, you should multiply both powers to find the total power that the integer should be raised to. In this case therefore:

= 3 * 2

= 6

So the numerator will be 8⁶

When dividing the same integers raised to powers, you should subtract the power of the divisor from the power number being divided.

In this case therefore, you are to subtract (-5) from 6 (calculated in first part).

= 6 - (-5)

= 6 + 5

= 11

Another way of writing the above will therefore be: 8¹¹.

Answer:

C?

Step-by-step explanation:

In my opinion I probably think it could be C but you don't have to choose it. It could probably be wrong.

Answer: B

Step-by-step explanation:

Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

Answer:

17/5÷23/8= 1  21/115

The answer is 1  21/115