All categories

2 years ago

Malcom and his sister ran 3 races. Their distances are shown below.

Mathematics

1 answer:

irina [24]2 years ago

5 0

<h3>Answer: Malcom can run the furthest.</h3>

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

Explanation:

Race 1

Let's convert Malcom's distance to inches so we can compare his distance to his sister's.

1 yard = 3 feet

10 yards = 30 feet (multiply both sides by 10)

1 foot = 12 inches

30 feet = 360 inches (multiply both sides by 30)

In Malcom's first race, he ran 360 inches. He has run the furthest compared to his sister who ran 300 inches.

------------------------

Race 2

Convert Malcom's distance from feet to inches.

1 foot = 12 inches

18 feet = 216 inches (multiply both sides by 18)

Malcom runs 216 inches compared to his sister's distance of 180 inches. Malcom is the winner again.

------------------------

Race 3

120 inches = 120/12 = 10 feet

Divide by 12 to convert from inches to feet, or you could have these steps

12 inches = 1 ft

120 inches = 10 feet

after multiplying both sides by 10.

Malcom runs 10 feet compared to 5 feet which his sister runs.

In each race, Malcom has ran the furthest.

You might be interested in

Help me please :)))))

Bond [772]

Answer:

Option C will be the answer.

6 0

3 years ago

The diameter of a circle is 28 millimeters. What is the circle's area<br><br> Use 3.14 for .

yulyashka [42]

Answer:

615.44 mm²

Step-by-step explanation:

Before finding the area of the circle, first, let us find the radius of the circle.

Given that,

diameter ⇒ 28 mm

Therefore,

28 = 2r

Divide both sides by 2.

14mm = radius

And now, let us find the area.

The formula to find the area of the circle is :

Let us solve now.

Area = π r²

= 3.14 × 14 × 14

= 43.96 × 14

=<u> 615.44 mm²</u>

8 0

2 years ago

Can u please find the value of X and both missing angle measures? It’s just notes I was absent when she explained it.

KIM [24]

Heres a tip---- if it has a square its 90 degrees if it doesnt its 180 and if its in an x shape theyre equal

8 0

3 years ago

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

3 years ago

Read 2 more answers

A right triangle has sides of length 3, 4, and .

olchik [2.2K]

Answer:

5/hypotenuse, the square root of 7/ leg

Step-by-step explanation:

3^2+4^2=25 or 5^2. you use a^2+b^2=c^2. it would be one of the hypotenuses. If the missing number is a leg, you would do 4^2=3^2+x^2. 16=9+x^2, 7=x^2, so you plug in the numbers differently.

3 0

3 years ago

Read 2 more answers