Counselors at Rockport High School and Riverdale High School surveyed the graduating seniors to find out their post-high-school plans. Each student plans to attend college, attend technical school, join the military, or go right into the workforce. The results of the survey are shown in the table.

In response to the supplied query, we may state that Therefore, the Pythagorean theorem length of the hypotenuse is 30 units.

The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the general algebraic notation a2 + b2 = c2.  

The Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs (the sides that create the right angle) is equal to the square of the length of the hypotenuse, may be used to determine the length of the hypotenuse (the side opposite the right angle).

In this instance, we have two legs, one measuring 18 units and the other 24 units. Let's call the hypotenuse's length "c" for short. The Pythagorean theorem may then be used to determine the value of "c":

[tex]c^2 = 18^2 + 24^2\\c^2 = 324 + 576\\c^2 = 900\\c = \sqrt(900)\\c = 30[/tex]

Therefore, the length of the hypotenuse is 30 units.

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Answer:

7.67

Step-by-step explanation:

Answer:  g + s = 698

                   3g = s

Step-by-step explanation:

By looking the question, we know that gold tickets and silver tickets add up to 698, so we get:

g + s = 698

And we know that silver tickets is three times of the gold tickets.

3g = s

We combined them together, we get :

g + s = 698

3g = s

Answer: you can you you side tools

Step-by-step explanation:

[tex]~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6[/tex]

Answer:

[tex]x = - 2[/tex]

[tex]x = 6[/tex]

Step-by-step explanation:

[tex](x - 2)^{2} = 16[/tex]

[tex]x - 2 = ± \: 4[/tex]

[tex]x - 2 = - 4[/tex]

[tex]x - 2 = 4[/tex]

[tex]x = - 2[/tex]

[tex]x = 6[/tex]

Step-by-step explanation:

Use the property of logarithm (change of base)

Apply to the given logarithm, considering same natural base

The rule is

[tex]\boxed{\sf log_ab=\dfrac{log_eb}{log_ea}=\dfrac{lnb}{lna}}[/tex]

Now

[tex]\\ \rm\Rrightarrow log_8(12)=\dfrac{ln12}{ln8}[/tex]

Answer: (-5, -4)

Step-by-step explanation:

Reflection across y axis flips the sign of x coordinate only

Answer:

the other person is probably correct!

Step-by-step explanation:

In a meta analysis, the researcher combines the actual results of a number of studies.

Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.

There are three main types of statistical study-

When the researcher combines the actual results of a number of studies, then this study is called the meta analysis.

Here, in this analysis, he consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.

Thus, In a meta analysis, the researcher combines the actual results of a number of studies.

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Answer:

P' (- 3, 1 )

Step-by-step explanation:

the translation

(x, y ) → (x - 6, y + 5 )

means subtract 6 from the x- coordinate and add 5 to the y- coordinate, so

P (3, - 4 ) → P' (3 - 6, - 4 + 5 ) → P' (- 3, 1 )

Answer:

C - relationship between classrooms & desks is proportional

Step-by-step explanation:

Answer: A is cheaper

Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee

Then $50/month for racket which is $300

total270+300=570

In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675

Difference in 6months is 675-570= $105 saved

Answer: 105

Step-by-step explanation:

did test

Answer: For two rectangles to be similar, their sides must be in the same ratio. This problem can be solved using ratios and cross multiplication.

Step-by-step explanation:

Step-by-step explanation:

Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

If Y = 2/3 when X=1/12means 2/3=1/12

K = 2/3÷1/12 = 8

Now that we know the value of K, we can use it to calculate the value of Y when X=1/2

Y = (8)(1/2) = 8/2=4

Y=4

Answer:

option C is the answer

Step-by-step explanation:

hope this helps you

Answer:

sample means

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a line with a slope passes through a point with a value such as in this one, which is (1,3), then it must have a y-intercept and a slope. The y-intercept is when the x-value's value is 0 but the y-value is more than 0.

(3,6) is on the line as it corresponds with the slope.

(0,0) is not on this line as the y-value nor the x-value has a coordinate, which is a requirement to make it an ordered pair.

The net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For this case, we're given that:

Since there are 4 weeks in a month, and each week, Dorothy works 40 hours per week, so the number of hours she worked in those 4 weeks (one month work approx) is:

[tex]40+40+40+40 = 4 \times 40 = 160 \: \rm hours[/tex]

That means, Dorothy gets $2718.26 for 160 hours of work.

Thus, if we divide this salary in 160 parts equally, we'll get net hourly income of Dorothy, as shown below:

[tex]\text{1 hour's pay} = \dfrac{2718.26}{160}\approx 16.98 \approx 17 \: \rm dollars[/tex]

Thus, the net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.

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Answer:

5^2+10^2=25+100=125

Step-by-step explanation:

Answer: 125

Step-by-step explanation: 5² + 10² = 25 + 100

Answer:

  813 N/m²

Step-by-step explanation:

The units of pressure tell you it is found by dividing force by area. Here, we need to convert the units of the given area so we can express the pressure appropriately.

__

  pressure = force / area

  pressure = (61 N)/(750 cm² × ((1 m)/(100 cm))²) = (61 N)/(0.0750 m²)

  pressure ≈ 813 N/m²

Answer:

17s

Step-by-step explanation:

Distance/Time = 264/11

So, in 1 second the toy robot travels 24 centimeters

408/24 = 17s

That's what I concluded with

Answer:

All students in each grade

Step-by-step explanation:

Answer:

possibility is 1 in 6

Step-by-step explanation:

combinations of 2 coins are

5/10 , 5/20 , 5/50 → 3 possibles

10/20 , 10/50 → 2 possibles

20/50 → 1 possible

there are 6 possible combinations of the 2 coins

the only possible combination for 25 cents is 5/20

thus the possibilty of 2 coins summing to 25 cents is 1 in 6

Answer:

The area of figure = 600 cm ²

Step-by-step explanation:

Area of this figure = area of triangle + area of rectangle

Area of triangle = 1/2 × base × height

Area of rectangle = length× breadth

=> (1/2 × 20 × 20 ) + ( 20×20 )

=> 200 + 400

=> 600 cm²

Answer:

53 mm

Step-by-step explanation:

Perimeter is the sum of the lengths of all its sides.

Let the length of the unknown side be x mm.

123= 25 +45 +x

x= 123 -25 -45

x= 53

Thus, the unknown side is 53 mm.

Answer:

25 units

Step-by-step explanation:

distance = square root (-8,15)^2 (17,15)^2

Cost of Lightbulb = x

cost of switch is x-8

9x + 4(x-8) = 520.50

Use distributive property:

9x + 4x -32 = 520.50

Simplify:

13x -32 = 520.50

Add 32 to both sides:

13x = 552.50

Divide both sides by 13

X = 42.50

A lightbulb costs $42.50

A switch costs 42.50-8 = $34.50

Answer:

  6.4

Step-by-step explanation:

The hypotenuse of a right triangle can be found from the other two sides by making use of the Pythagorean theorem. It tells you the square of the hypotenuse is the sum of the squares of the other two sides:

  c² = 4² +5²

  c² = 16 +25 = 41

  c = √41 ≈ 6.4

The missing side length is about 6.4 units.