11. Which equation would help you find the
1 missing side length in the right triangle shown

A - 122-102=c2
B- 122+ b2= 102
c. 12(2)+ 10(2) = c(2)
D. 122+ 102 = c3

Option b) square root 19 + 7 over 2 will be an irrational sum because it includes the square root of a non-perfect square (19), which is an irrational number, added to a rational number (7/2).

The question asks which sum will be irrational. To determine this, we must look at each of the options:

a) 3+2 is the sum of two integers, which is also an integer, and thus a rational number.

b) square root 19 + 7 over 2 involves the square root of 19, which is an irrational number because 19 is not a perfect square. The sum of an irrational number and a rational number (7/2) is irrational.

c) 18 over 3 + 11 over 10,000 is the sum of two rational numbers, as both fractions can be simplified to a common form with integer numerators and denominators.

d) -6+(-3.251) is the sum of two rational numbers, since 3.251 can be expressed as a fraction.

The sum in option b will be irrational because it involves the sum of an irrational number, square root 19, and a rational number, 7/2. All the other sums are of rational numbers and will, therefore, also be rational.

Answer: Two and Seven hundred fifty one thousanths

Step-by-step explanation:

Answer:

[tex] \cos L = \dfrac{4}{5} [/tex]

Step-by-step explanation:

The right angle is angle K. KL and JK are legs. JL is the hypotenuse.

For angle L, KL is the adjacent leg.

In general, for acute angle A of a right triangle,

[tex] \cos A = \dfrac{adjacent~leg}{hypotenuse} [/tex]

In this case,

[tex] \cos L = \dfrac{adj~leg}{hyp} [/tex]

[tex] \cos L = \dfrac{KL}{JL} [/tex]

[tex] \cos L = \dfrac{8}{10} [/tex]

[tex] \cos L = \dfrac{4}{5} [/tex]

Answer

11          

 —— = 0.27500

 40          

Answer: 11/40

Step-by-step explanation: 2/5 - 1/8 have to have a common denominator. The common denominator will be 40 so 2/5 = 16/40 1/8 = 5/40. 16-5=11

m<1 = m<4 by vertical  angles theorem

3x + 10 = 4x - 15

-1x = -25

x = 25

m<1 + m<7 = 180 if parallel alternate interior angles supplementary

3x + 10 + m<7 = 180

3(25) + 10 + m<7 = 180

75 + m<7 = 180

m<7 = 105°

Hope this helps! ;)

Answer:

14 in.

Step-by-step explanation:

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

now as we know that the triangle that is formed has a right angle of 90 degrees, and two other angles that are 30 and 60 degrees.

We can know this by the properties of the hexagons

hexagon is formed by 6 equilateral triangles

equilateral triangles have 3 angles of 60 degrees

the triangle of the image is half of one of those triangles so it will have the upper angle of 30 and the other of 60

Now if we take the angle of 30 degrees and apply the following formula

sin α = o/h

cos 30 = a/h

0.866 = 12/h

h = 12/0.866

h = 13.8564

h = c

the nearest number is 14

Answer:14in on edg.

Step-by-step explanation:

Answer:

6, 7 or 8 oranges

Step-by-step explanation:

Answer:

40=10x+ 6y

Step-by-step explanation:

x representing pounds of turkey

y representing pounds of cheese

9+9+12+12.

24+18.

Answer? 42 inches

Answer:

The perimeter is 42 inches

Step-by-step explanation:

The perimeter is the sum of each side. So 9 + 9 + 12 + 12 = 42

You can also use the formula, w*2 + l*2 = P

Hope this helped! :)

Answer:

$50 and

$30

Step-by-step explanation:

Question 1. Principal = $500

Rate = 5%

Time = 2yesrs

Interest = PRT /100

= 500 x 5 x 2 /100

= 5000/100

= $50

Interest = PRT/100

Principal P =$500

Rate = 3%

Time = 2 years

Therefore, interest =

500 x 3 x 2 /100

= 3000/100

= $30

Answer:

I think it's 100

Step-by-step explanation:

133 + 86 + 41 = 260

360 - 260 = 100

Answer:

21d (10d - 3)

Step-by-step explanation:

Factor 21d out of 210d² - 63d

I don't know if this answered your question correctly, but that is how I would solve it.

The expression is equivalent to 210d² - 63d is  21d( 10d - 3).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 210d² - 63d

now, factorizing each term of expression

210d² = 2 x 3 x 5 x 7 x  d x d

-63d = -3 x 3 x 3 x d

So, 210d² - 63d

= (2 x 3 x 5 x 7 x  d x d) - (3 x 3 x 7 x d).

= 21d (2 x 5 x d - 3 )

= 21d( 10d - 3)

Hence, the equivalent expression is 21d( 10d - 3).

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Answer:

  10 miles

Step-by-step explanation:

Let m represent the number of miles Kayla runs. We want to find m such that ...

  0.50m = 5.00

Divide by the coefficient of m:

  m = 5.00/0.50 = 10

Kayla has to run 10 miles to get the same donation from both parents.

Answer:

!0 miles

Step-by-step explanation:

Answer: Leia pays more to fly from the UK to Australia

Step-by-step explanation:

We have two persons, Andy and Leila; both travel from UK to Australia but in different ways:

For Andy:

-He first flies from UK to Japan and the cost of the ticket is [tex]\£ 554[/tex]

-Then he flies from Japan to Australia and the cost of the ticket is [tex]70140 Yen[/tex]

So, the cost of Andy's trip is:

[tex]\£ 554+70140 Yen[/tex] (1)

Taking into account that we have to use the same units to sum two quantities, we have to convert the Yens to [tex]\£[/tex]; knowing that [tex]\£ 1=140 Yen[/tex]:

[tex]70140 Yen \frac{\£ 1}{140 Yen}=\£501[/tex]

Then, (1) is rewritten as:

[tex]\£ 554+\£501=\£1055[/tex] (2) This is the total cost of Andy's trip

For Leila:

She flies directly from UK to Australia and the cost of her ticket is [tex]\$ 1860[/tex] (Australian dollars)

Taking into account that we have the price of Andy's trip in [tex]\£[/tex], we have to convert the Australian dollars to [tex]\£[/tex], in order to compare.

So, knowing that [tex]\$ 1=\£ 0.62[/tex] we have:

[tex]\$ 1860 \frac{\£ 0.62}{\$ 1}=\£1153.2[/tex] (3) This is the total cost of Leila's trip

Hence, comparing (2) and (3) we can see that Leila paid more to fly from UK to Australia.

Yo sup??

let the lenght of one side of the hexagon be y

total perimeter=sum of lenght of all sides=6y

But

perimeter=42x-24

Therefore

6y=42x-24

y=7x-4

Hence the equation of one side is 7x-4

Hope this helps

The answer is 7x-4.

Hope this helped

A possible number of marbles for this situation is:

Red = 13

Blue = 3

Yellow = 2

How many of each color marble could Jack have?

Let's define the variables:

R = number of red marbles.

B = number of blue marbles.

Y = yellow marbles.

Then we can write:

R = B + 10

Y < B

So we have only these two conditions, now let's find possible values.

If we define B = 3, then:

R = 3 + 10 = 13

Y < 3

Then Y can be 2.

So a possible value is:

Red = 13

Blue = 3

Yellow = 2

Final answer:

The number of each color marble Jack has can be determined by setting the number of blue marbles as a variable. Red marbles are ten more than blue, and yellow marbles are fewer than blue. Specific combinations are possible as long as these conditions are met.

Explanation:

Jack has some marbles. He has ten more red marbles than blue marbles and fewer yellow marbles than blue marbles. To determine how many of each color marble Jack could have, consider blue marbles as the variable x. Then, the number of red marbles would be x + 10 and the number of yellow marbles would be less than x.

Here are a few possible combinations:

If Jack has 1 blue marble, he cannot have 10 more red marbles and fewer yellow marbles as this would result in a negative number of yellow marbles which is not possible.

If Jack has 2 blue marbles, then he would have 12 red marbles (x + 10), and potentially 1 yellow marble since it needs to be less than the number of blue marbles.

If Jack has 3 blue marbles, he would have 13 red marbles, and it could be 1 or 2 yellow marbles.

Thus, the compositions of marbles are dependent on the number of blue marbles Jack has. As long as the number of red marbles is ten more than blue and the yellow marbles are fewer than blue, the condition is satisfied.

Answer:

E) (-4, -3)

Step-by-step explanation:

To use elimination, you need to have one variable in both equations that have the same coefficient. (The coefficient is the number attached to the variable). Both equations have "7y".

The way elimination works is by eliminating one of the variables first. Decide how (-7y) and (-7y) can cancel out and become 0. You can either add or subtract.

(-7y) - (-7y)        Try subtracting

= (-7y) + 7y

= 0

Based on this, we should subtract the whole equations.

Set up the equations like normal subtraction. Then, subtract each of the terms that have the same variable.

.   4x - 7y = 5

-   9x - 7y = -15       Do 4x - 9x = -5x.    -7y - (-7y) = 0.      5 - (-15) = 20.

.    -5x - 0 = 20       "y" cancelled out

.          -5x = 20          Isolate 'x'

.      -5x/-5 = 20/-5       Divide both sides by -5

.              x = -4          Solved x-coordinate

Substitute 'x' for -4 in any of the equations. Then simplify and isolate "y" to solve for the y-coordinate.

4x - 7y = 5

4(-4) - 7y = 5         Simplify the multiplication.

-16 - 7y = 5         Start isolating 'y' now

-16 + 16 - 7y = 5 + 16         Add 16 to both sides. Left side cancels out 16

-7y = 5 + 16         Solved right side by adding

-7y = 21

-7y/-7 = 21/-7         Divide both sides by -7

y = -3              Solved y-coordinate

Therefore the answer is (-4, -3).

Answer:

x=2

y=-3

Step-by-step explanation:

we have

[tex]y=\frac{1}{2}x-4[/tex] ----> equation A

[tex]y=-2x+1[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations by graphing is the intersection point both lines.

using a graphing tool

The intersection point is (2,-3)

therefore

The solution is

x=2

y=-3

Answer:

OPTION A

OPTION B

OPTION D

Step-by-step explanation:

Given that a bag of apples cost 'a' dollars.

A bag of oranges cost 'a + 2' dollars.

Therefore, one bag each of apples and oranges should cost: a + a + 2 dollars.

Since, Dorie buys 5 bags of apples and Oranges, it would have costed her:

5(a + a + 2)

= 5(2a + 2)

= 10a + 10

Hence, OPTION A, B and D are the correct answers.

Answer:

[tex]Area\ of\ walkway=4x^2+56x\ meter^2[/tex]

Step-by-step explanation:

[tex]Length\ of\ garden=16\ meters\\\\Width\ of\ garden=12\ meters\\\\Width\ of\ walkway=x\ meters\\\\Now\ Length\ of\ new\ rectangular=16+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Now\ width\ of\ new\ rectangular=12+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Area\ of\ walkway=Area\ of\ new\ rectangular-Area\ of\ rectangular\\\\Area\ of\ rectangle=length\times width\\\\Area\ of\ walkway=(16+2x)\times (12+2x)-16\times 12[/tex][tex]Area\ of\ walkway=16\times 12+2x\times 12+16\times 2x+2x\times 2x-16\times 12\\\\Area\ of\ walkway=4x^2+56x\ meter^2[/tex]

The pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.

The pool manager pays $54 for the bucket of chlorine tablets and $6.60 for the pH test kit after applying the 40% discount.

Therefore, the pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.

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The pool manager pays the cost of  $54 for the chlorine tablets and $6.60 for the pH test kit.

The calculation you're looking to perform is a simple example of a percentage discount on a sum of money. To figure out how much the pool manager pays for each item, you have to first calculate the total cost of the items. The total cost of both the bucket of chlorine tablets ($90) and the pH test kit ($11) is $101.

A 40% discount on the total cost is then calculated by taking 40% of $101, which is $40.40. This discount is subtracted from the total cost (101-40.40), leaving the pool manager to pay $60.60. To determine the cost of each item after the discount, we assume that the discount was applied equally to both items.

This means that the cost price for each the bucket of chlorine tablets and pH test kit, after the discount, would be $54 and $6.60 respectively.

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Answer:12 x 9

Step-by-step explanation: 600 x 2/100 = 1200/100 = 12

450 x 2/100 = 900/100 = 9

Remember that 100km = 2 units

Draw a rectangle with the dimensions given (600 km by 450 km) to recreate Joel's map of Colorado on the grid. Make sure to align the rectangle's longer side with latitude (horizontal) and shorter side with longitude (vertical).

To recreate Joel's map of Colorado on the grid, we can simply consider the dimensions given of 600 km by 450 km. Draw a rectangle on the grid with one side being 600 units (representing km) and the other being 450 units (representing km). This rectangle will represent Colorado, and you can label it accordingly. Keep in mind that since it's a map, the orientation of Colorado's longer side (600 km) should align with the latitude and shorter side (450 km) should align with the longitude, assuming that the west-east direction is taken as horizontal.

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Answer:

Step-by-step explanation:

ABC = 72 degrees

CBF = 108 degrees

DBE = 18 degrees

ADB =  90 degrees

Answer:

2 5/6

Step-by-step explanation:

10 2/6 - 7 3/6

10 - 7 = 3

2/6 - 3/6 = -1/6

3-1/6 = 2 5/6

Answer:

80

Step-by-step explanation:

40 times 2=80

Have a nice day!!!

it is the X+3 and (x+.2)

If x is doubled, then y is also doubled

Solution:

Given that,

Two quantities x and y are directly proportional

For a direct proportion,

If x increases then y increases

If x decreases then y decreases

Given that, x is doubled

Then y will also gets doubled

Also,

x and y are directly proportional

[tex]y \propto x\\\\y = kx[/tex]

Where k is the constant of proportionality

If x is doubled then,

y = k(2x)

y = 2(kx)

Thus y is also doubled

Answer:

its doubled

Step-by-step explanation:

if its doubled then its doubled

Answer:

12.72 units

Step-by-step explanation:

Recall the mnemonics: SOHCAHTOA

We want to find PQ, which is opposite to the 58° angle.

So we use the sine ratio: SOH , which means Sine is Opposite/Hypotenuse

[tex] \sin(58 \degree) = \frac{PQ}{15} [/tex]

This implies that:

[tex]PQ = 15 \sin(58) [/tex]

We substitute the value for sin58° to get:

[tex]PQ = 15(0.848)[/tex]

PQ=12.72

Answer:

infinitely many solutions

Step-by-step explanation:

look at picture