Andrew and Katherine rode their bikes and met at a park.
Andrew’s house was 8 miles from the park, Katherine’s house was 5 miles from
the park. They each left their house at the same time and Andrew arrived 10
minutes after Katherine arrived. Katherine’s average speed was 2 mph slower
than Andrew’s average speed. {hint: UNITS matter!}
a. Write an equation to represent this data.
b. What was Andrew’s average speed?

Answer:

5x+2y=3 3x-2y=5

7xy=3 xy=5

7xy+xy=3+5

6xy=8

Step-by-step explanation:

it's are the answers

Answer:

it is triangle DEF, base on my own understanding

[tex] \bold{ \underline{Solution }}[/tex]

[tex] \bold{ \underline{ \underline{Given}}}[/tex]

y = 9 feet

[tex] \bold{to \: find}[/tex]

Volume of cube

[tex] \bold {\underline{lets \: begin}}[/tex]

[tex]y \: = 9 \: feet \: [/tex]

Volume of cube= (S)³

[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]

so,, 729 is our final answer

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Hey there!

Your formula: a * a * a or you could simply say a^3

Your equation;

9^3

= 9 * 9 * 9

= 81 * 9

= 729

Therefore, your answer should be:

729

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The capacity of the tank is 240 cm³.

Capacity means the volume of a solid shape.

To calculate the capacity of the tank, we use the formula below.

Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9

Formula:

Where:

Solve for V

Hence, the capacity of the tank is 240 cm³.

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Answer: A

Step-by-step explanation:

On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.

So, the reflection of the point is: (8, -7)

Therefore, Option(a)(8, -7) is true.

Answer

Hope it helps

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

   12. 2h³√5k⁴

Step-by-step explanation:

    - Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

======================================================

Explanation:

Draw out a right triangle as you see below.

Let's use the pythagorean theorem to find 'a'

[tex]a^2 + b^2 = c^2\\\\a = \sqrt{c^2 - b^2}\\\\a = \sqrt{(9.9)^2 - (7.3)^2}\\\\a = \sqrt{44.72}\\\\a \approx 6.6873\\\\a \approx 6.7\\\\[/tex]

Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Step-by-step explanation:

it is really simple.

first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).

and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.

so,

angle 3 = 37°

that means

angle 1 = 37° too

angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).

angle 2 = 180 - 37 = 143°

and angle 4 = 143° too

Answer:

0.75

Step-by-step explanation:

4/4=1

3/4=0.75

2/4=1/2=0.5

1/4=0.25

Answer:

113.04 yd²

Step-by-step explanation:

The formula for finding the surface area of a cylinder is:

2πrh+2πr² r = radius, h=height

The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.

2πrh+2πr²

2(3.14)(2)(7) + 2(3.14)(2)^2

= 113.04 yd²

Answer:

57.1 degrees

Step-by-step=

32.9+90=122.9

180-122.9=57.1

The distance between the swimming pool and Tim's house is 3.5 miles.

First, we need to find the distance between the two points, and then we multiply that by 0.5 miles.

The distance between the points (-6, 5) and (1, 5) is:

[tex]d = \sqrt{(-6 - 1)^2 + (5 - 5)^2} = 7[/tex]

Now, changing to miles, we get:

d = 7*0.5mi = 3.5mi

So the distance is 3.5 miles

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Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

The surface area of the solid is 4 + 6b

The solid consist of the following shapes:

The area of the solid is:

Area = Area of square + 4 * area of triangle

This gives

Area = 2 * 2 + 4 * 0.5 * 3 * b

Evaluate

Area = 4 + 6b

Hence, the surface area of the solid is 4 + 6b

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[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]

Answer:

elimination

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1+2+2+3+5+6+6+8+8+9/10=5

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:

Answer:

C. Equilateral

Step-by-step explanation:

Every pair has equal angle

Answer:

A

Step-by-step explanation:

BECAUSE IT IS KIND OF ANGEL

Answer:

2

Step-by-step explanation:

0.75*32=24 is 75% of 32

0.8*32=25.6 is 80% of 32

you need to round to 26 as you cant get .6 of a mark

26-24=2

Answer:

see the attachment.

Answer:

C, -1.5

Step-by-step explanation:

edge

The area of a the trapezoid given in the diagram is calculated as: B. 96 cm².

Area of trapezoid = 1/2(a + b)h

Given the following:

Area of the trapezoid = 1/2(12 + 20)6

Area of the trapezoid = 96 cm²

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Answer:

0.00000078 is the answer to the question

Check the picture below.

bear in mind that for a triangle, the height or "altitude" is the perpendicular distance from the top of the triangle to the base.

Answer:

interest rate= interest earned multiply 100% then divide by the amount and time

R=I/Pt

I=96.60$, P=1200$, t=42/12=3.5

R= 96.60×100%/1200×3.5

=2.3%