Carter is deep-sea diving with two friends. Anita is exploring a coral reef 60 feet in front of Carter, and Gabe is floating on the surface directly above Carter. If Gabe and Anita are 87 feet apart, how far apart are Carter and Gabe?

Answer: 10

Step-by-step explanation:

In a right angle triangle

Hypothenus ^2= opposite ^2+ adjacent ^2

According to a diagram below

Hypothenus =15

Opposite =?

Adjacent =11

Substitute for the values

15^2=11^2+opp^2

Opp^2=15^2-11^2

0pp^2= 225-121

Opp2=104

Opp= square root of 104

Opp= 10.2

Opp= ~10

Answer:

6

Step-by-step explanation

Total assignment =x

100%-60%=40%

Therefore

40%=4

40/4=10

60/10=6

6+4=10

Total assignment x=10.

The total number of math problems assigned for homework will be 10.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Sydney completed 60% of the math problems assigned for homework. She has 4 more problems to finish.

Then the number of total problems assigned is calculated as,

⇒ 4 / (1 - 0.60)

⇒ 4 / 0.40

⇒ 10

The total number of math problems assigned for homework will be 10.

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Answer:

210

Step-by-step explanation:

360-150

think about it like going the opposite direction on a circle.

if you are on a 1 mile trail that is a circle at the starting point and you walk right to get to a marker that is half way, if you went left, the marker would be 0.5 miles the opposite direction.

Answer:

A) 5 meters to cm= 500cm

B)  10 quarts to pints= 20 pints

C) No, cause 26 pints is just 3.25 gallons so he would need 6 more pints to fill up four gallons of milk that is 36 pints makes four gallons

Step-by-step explanation:

Answer:

[see explanation]

Step-by-step explanation:

There are 9 numbers on the dice. (One number for each side.)

Total Number of events: 9

There are 2 numbers that are greater than seven.  (8 and 9)

Preferred number of events: 2

[tex]\frac{preferred}{total} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex]  is already at it's lowest terms.

The probability should be 2/9.

The probability of rolling a number greater than 7 on a 9-sided die is 2/9 or approximately 22.2%.

In the language of probability, an event is any outcome or combination of outcomes. The probability of any event is normally calculated by dividing the number of ways that the event can occur by the total number of outcomes. In this problem, a die with 9 sides is rolled once, giving a total of 9 possible outcomes (the numbers 1 to 9). The event in question is rolling a number greater than 7, which consists of two outcomes: 8 and 9. So, the probability of this event is

Number of ways the event can occur / Total number of outcomes = 2 / 9 = 0.222 (to three decimal places), or approximately 22.2%.

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Answer: The volume is 128pi cm or 402.12 cm. To increase the volume you can double the height, double the radius, double the radius but half the height, and make the radius and height both 6 cm.

Step-by-step explanation:

To find the volume of the cylinder, use the equation [tex]\pi r^2h[/tex]. After plugging everything in, the equation is [tex]\pi (4^2)*8[/tex]. [tex]4^2[/tex]=16. 16*8=128. If you need a more accurate answer, multiply by pi to get 402.12 cm.

Doubling the height creates a volume of 256pi cm.

Doubling the radius creates a volume of 512pi cm.

Doubling the radius and halving the height creates a volume of 256pi cm.

Making both the radius and height 6 cm creates a volume of 216pi cm.

Answer:

1, 2, 4, 5

Step-by-step explanation:

your welcome.

Answer:

7

Step-by-step explanation:

2n + 4n = 6n, adding like terms

6n = 42

6n/6 = 42/6

n = 7

Answer: 7

Step-by-step explanation:

4x7= 28 and 2x7=14

14+28= 42

The external angles of a 12-gon add up to 360 degrees so each is 30 degrees.  That makes the internal angle the supplement, PQR=150 degrees.

We have an isosceles triangle so the other two angles add to 30 degrees, so 15 degrees.

Answer: 15 degrees

Angle PRO in a regular 12-gon is half an interior angle, so it measures [tex]$\boxed{75^\circ}$[/tex].

The strategy is to first calculate the sum of the interior angles of the dodecagon, and then divide that number by 2 because any angle of a regular polygon can be found by subtracting [tex]$180^\circ$[/tex] from the quotient you get when you divide the sum of the interior angles by the number of angles.

Here's the solution:

The radius of the hemisphere is 45 cm

Explanation:

Given:

Volume of the hemisphere, V = 60750π cm³

Radius of the hemisphere, r = ?

We know:

Volume of hemisphere = [tex]\frac{2\pi r^3 }{3}[/tex]

[tex]60750\pi = \frac{2\pi r^3 }{3} \\\\r^3 = 91125\\\\r = 45[/tex]

Therefore, the radius of the hemisphere is 45 cm

The radius of the hemisphere is 45 cm

The volume of a hemisphere is given by the formula

[tex]V = \frac{2}{3} \pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the question,

V = 60750π cm³

Putting this into the formula,

We get

[tex]60750\pi = \frac{2}{3}\pi r^{3}[/tex]

∴ [tex]r^{3}= \frac{60750\pi \times 3}{2\pi}[/tex]

[tex]r^{3}= 91125[/tex]

∴ [tex]r =\sqrt[3]{91125}[/tex]

r = 45 cm

Hence, the radius of the hemisphere is 45 cm

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Answer:

supplementary angles

Step-by-step explanation:

one angle is an obtuse angle

and another angle is an acute angel.

Answer:

the average number of a set

Step-by-step explanation:

The inequality representing the possible number of party hats (x) Kimani ordered from Party Plus is x>20. This means Kimani ordered more than 20 party hats to spend over $40, given the assumed minimum cost per hat from Party Plus.

Let's denote the number of party hats Kimani ordered from Party Plus as x. Now, if each party hat costs a certain amount, and Kimani spent over $40, we can set up an inequality to represent this situation.

Let be the cost of each party hat. The total cost (T) is given by multiplying the number of hats (x) by the cost per hat (c). Therefore, T=xc.

The problem states that Kimani spent over $40, so we can express this as an inequality: T>40

Now, substitute the expression for T in terms of x and xc>40

Since we are specifically looking at the scenario where Kimani ordered the hats from Party Plus, let's assume that each hat costs at least $2 (as a hypothetical example). So, c≥2. Now, substitute

c≥2 into the inequality:

x⋅2>40

Simplify the inequality:

2x>40

Now, divide both sides by 2 to solve for x>20.

Answer:

C ; y =3x

Step-by-step explanation:

if you look at the function table

it goes like this

1 to 3

2 to 6

3 to 9

1*3=3

2*3=6

3*3=9

please thank me, rate, and mark brainliest if you like!

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Answer:

C

Step-by-step explanation:

The x values are multiplying themselves by 3 to get the y values

Answer:

c=7.75

Step-by-step explanation:

First distribute the 4 on the right side

7=4(c-6)

7=4c-24

Add 24 on both sides

31=4c

Divide by 4 on both sides

c=7.75

Hope this helps!

Answer:

7.75 -= c

Step-by-step explanation:

Alright let's do this step by step!

7 = 4c - 24

add 24 to both sides :)

31 = 4c

divide by 4 (both sides)

c = 7.75

Thank me later :)

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

[tex]SA = 2(lw+wh+lh)[/tex]

Substitute the given values.

[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]

[tex]4362 = 2(756+21 c+36 c)[/tex]

[tex]4362 = 2(756+57c)[/tex]

[tex]4362 = 1512+114c[/tex]

Subtract 1512 from both sides.

[tex]4362- 1512 = 1512+114c - 1512[/tex]

[tex]2850=114c[/tex]

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

             = 36 × 21 × 25

             = 18900

Volume of rectangular prism is 18900 cubic yards.

Answer: 5/16

Step-by-step explanation:

i just took the test

The answer is C. The probability that a randomly selected player on Team C is 10 years old is 5/16.

Good luck :)

Answer:

-2≥y≥4

Step-by-step explanation:

Since the y values go down to -2 and come up to 4 that is the answer

Answer:

A - 30 miles

B- 75 miles

C- 120 miles

Glad I could Help :)

Step-by-step explanation:

25 cause when i put in the answer it was right

Answer:

its a on edg

Step-by-step explanation:

The Simple Solutions Grade 7 answer key is a resource for middle school students to check their math work and learn from their mistakes.

The Simple Solutions Grade 7 answer key is a resource that provides answers and explanations for the Simple Solutions Mathematics program for middle school students. It is designed to help students understand and practice the math concepts they are learning in class.

This answer key can be used by students to check their work, verify their answers, and learn from any mistakes they may have made.

Using the Simple Solutions answer key can also help students track their progress and identify areas where they may need additional practice or support.

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Answer:

B - 1/2

Step-by-step explanation:

In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.

B - 1/2

Answer:

B- 41/100

Step-by-step explanation:

Because this is an experimental (not theoretical) probability, which is the ratio of number of outcome as head over the total number of trial, the experimental probability of the next flipping be head would be the total number of heads that she'd gotten before over the total number of times that she'd try, which is 41 / 100

Answer: 35.86acres

Step-by-step explanation:

Luke has 22lots for sale

Each lot is 1.63acres

Since each lot is 1.63acres and there are 22lots

So Luke has

22×1.63acres

=35.86acres

Final answer:

Luke has 35.86 acres of land for sale, which is the product of multiplying 22 lots by 1.63 acres per lot.

Explanation:

To calculate the total amount of land Luke has for sale, multiply the number of lots by the acreage of each lot. There are 22 lots for sale, and each lot measures 1.63 acres. The calculation is as follows:

Total land = Number of lots  * Acreage of each lot
Total land = 22 * 1.63
Total land = 35.86 acres

So, Luke has a total of 35.86 acres of land for sale, which corresponds to option OC.

Answer:

66

Step-by-step explanation:

The statement can be translated to

x + x/2 + 1 = 100

Where x is the number of birds flying. Simplify this and get:

3/2 x = 99

x = 99 * 2/3 = 66

Answer:

[tex]x=11\\[/tex]

Step-by-step explanation:

[tex]6x^2=726[/tex] First, you need to divide everything by 6.

[tex]x^2=121[/tex]Then you put everything in a radical to get this:

[tex]x=11[/tex]

Answer:

[tex]6 {x}^{2} = 726 \\ \frac{6 {x}^{2} }{6} = \frac{726}{6} \\ {x}^{2} = 121 \\ x = \sqrt{121} \\ x = 11[/tex]

Answer:

y = -(5/2)x - 1

Step-by-step explanation:

slope intercept form is y = mx + b

m is the slope

b is the y intercept

The y intercept is shown to be (0,-1), so b = -1

The equation is now y = mx -1

slope= rise/run

The rise is (4-(-1))=5

The run is (-2-0)=-2

5/-2 is the slope (m)

The equation is y = -(5/2)x - 1

Answer:

y = -5/2 x-1

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-1 -4)/(0--2)

   = (-5)/+2

   = -5/2

We know the y intercept is -1 since that is where it crosses the y axis

We will use the slope intercept form of the equation

y= mx+b  where m is the slope and b is the y intercept

y = -5/2 x-1

Answer:

-21  -16x

Step-by-step explanation:

-3 + 6x - 18 - 22x

Combine like terms

-3 -18     +6x -22x

-21          -16x

Answer:

-21-16x

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

3x - 4= 23

3x-4+4 + 23+4

3x + 27

3x/3 + 27/3

x+ 9

The solution of expression 3x - 4 = 23 is by combining the like terms with the help of operations such as addition, subtraction, etc would be,

x = 9

Given that,

The expression is,

3x - 4 = 23

Used the concept of expression by combining the like terms with the help of operations such as addition, subtraction, etc.

Here the expression is,

3x - 4 = 23

Add 4 on both sides,

3x - 4 + 4 = 23 + 4

3x = 27

Divide by 3 on both sides,

x = 27/3

Therefore, the solution is,

x = 9

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The length and width of the rectangle is 10 m and 4.5 m respectively.

Step-by-step explanation:

Given,

The length of a rectangle is 1 m more than twice the width.

Area of the rectangle = 45 sq m

To find the length and width of the rectangle.

Formula

If the length and width of a rectangle be l and b respectively, the area will be lb.

Let, the width (b) be = x and

Length (l) = 2x+1

According to the problem,

(2x+1)x = 45

or, [tex]2x^{2} +x = 45[/tex]

or, [tex]2x^{2}+x-45 = 0[/tex]

or, [tex]2x^{2}+(10-9)x-45 = 0[/tex]

or, [tex]2x^{2}+10x-9x-45 = 0[/tex]

or, 2x(x+5)-9(x+5) = 0

or, (2x-9)(x+5) =

Hence,

2x-9 = 0 and x+5 = 0

or, x = [tex]\frac{9}{2}[/tex] and x= -5

We will take x =  [tex]\frac{9}{2}[/tex]  as the value of length cannot be negative.

So,

Width = 4.5 m and Length = 2×4.5+1 = 10 m

The area of a rectangle is determined by the product of its length and width. In this rectangle, the width (W) is found to be 5 meters by solving the given equation. The length, being 1 meter more than twice the width, is 11 meters.

To solve this problem, you can use the formula for the area of a rectangle, which is Area = length × width. You know from the problem that the area of the rectangle is 45 square meters, and the length (L) is 1 meter more than twice the width (W).

You can thus express the length in terms of the width: L = 2W + 1. Substituting this into the formula for the area gives you: 45 = W × (2W + 1).

Solving this equation involves expanding the right side: 45 = 2W² + W, arranging the equation to set the right side to zero: 2W² + W - 45 = 0

By factoring or using the quadratic equation, you find that the roots of the equation (the possible values for W) are 5 and -4.5. Since a negative width doesn't make sense in this context, you discard -4.5, and your width is thus 5 meters.

The length is then 2W + 1 = 2(5) + 1 = 11 meters. So, the dimensions of the rectangle are 5 meters by 11 meters.

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