A midsegment of a triangle measures 40 m. What is the length of the corresponding base of the triangle? A. 20 m B. 40 m C. 60 m D. 80 m

Explanation of why 1/12+1/12+1/12 equals 1/4 through adding fractions with common denominators.

Adding fractions:

Convert all fractions to have a common denominator.

Add the numerators together.

Keep the denominator the same.

Therefore, 1/12 + 1/12 + 1/12 = 3/12 = 1/4.

The distance that John walk more than Don is 356.60 ft.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

Given that John is walking home with his younger brother and their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet.

Since John is walking on the sides, the lenght covered by John will be the sum of the sides.

Sum of the sides of the rectangle = 500 ft + 800 ft

Sum of the sides of the rectangle = 1300 ft

Further, Don is walkin on the diagonal, the lenght covered by Don will be the diagonal of the rectangle.

(Diagonal)² = (500 ft)² + (800 ft)²

(Diagonal)² = 250000 ft² + 640000 ft²

Diagonal²  = 890000 ft²

Diagonal  = 943.39811 ft

The distance that John walk more than Don is:

Distance = 1300 ft - 943.39811 ft = 356.60 ft

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Sasha drank a total of 51⁄2 cups of water by converting the pints to cups and then adding the half cup she drank on the way home.

To calculate the total amount of water Sasha drank, we need to add the volume of water she drank during practice and the volume she drank on the way home. However, we first need to convert the measurements so that they are in the same unit.

There are 2 cups in a pint, so 21⁄2 pints of water is equivalent to 5 cups of water (since 2 pints = 4 cups and 1/2 pint = 1 cup). Adding the additional 1/2 cup she drank on the way home gives us:

5 cups (from 21⁄2 pints)+ 1/2 cup (drank on the way home)

5 + 1/2 = 51⁄2 cups in total

Therefore, Sasha drank a total of 51⁄2 cups of water.

Answer:

opens downward with a vertex of (3,11)

Step-by-step explanation:

just took the test

We can draw the figure as shown in attachment.

Then you can see an equilateral triangle ABD.

So here angle A, B and D all will be 60 degrees.

So one of the angles of rhombus becomes 60°.

Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.

Finally,angles of rhombus are 60 ,120,60,120.

Answer:

1/8

4

Step-by-step explanation:

She got an A on 5/8 of all tests.

She got a perfect score on 1/5 of the 5/8.

1/5 * 5/8 = 5/40 = 1/8

She took a total of 32 tests.

1/8 * 32 = 4

Answer:

1/8

4

Answer with Step-by-step explanation:

The volume of cylinder is given by

V=πr²h

Where r is the radius and h is the height

The volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches.

50.265=π×2²×4

⇒ π=50.265/16

Now when r=3 inches and h=7 inches

V=π×3²×7

[tex]V=\dfrac{50.265}{16}\times 9\times 7\\ \\V=199.336[/tex]

Hence, volume of the cylinder when the radius is 3 inches and the height is 7 inches is:

199.336 cubic inches

Its all five of them

the answer is -20+48i

Jack  saving 2.25 $ each month

We have given that monthly allowance of jack is 15$

He decides to save 15% of his monthly allowances

We have to calculate the saving of each moth.

Therefore,

we have to find the 15% in decimal form,

What is the formula for finding the percentage in decimal form:

[tex]decimal form =\frac{x}{100}[/tex]

Where x is in %

Therefore,

15%=15/100=0.15

Jack want to save 0.15 from his monthly allowance of 15$

Therefore,

15(0.15)=2.25

Therefore,

Jack  saving 2.25 $ each month.

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number of successful trials/ total number of trials

Step-by-step explanation:

The estimated stopping distance when the car is traveling at [tex]71\ miles\ per\ hour[/tex] is approximately [tex]{91.84}\ feet[/tex].

To find the mathematical model that relates the stopping distance [tex]\( d \)[/tex] to the speed [tex]\( v \)[/tex], given that stopping distance is directly proportional to the square of the speed, we can write:

[tex]\[ d = k v^2 \][/tex]

where [tex]\( k \)[/tex] is the proportionality constant.

Given that the car required [tex]90\ feet[/tex] to stop when its speed was[tex]70\ miles \ per\ hour[/tex], we can use this information to find [tex]\( k \)[/tex]

Convert the speed from miles per hour to feet per second (since [tex]1 \ mile = 5280 \ feet\ and\ 1\ hour = 3600 \ seconds[/tex]):

[tex]\[ 70 \text{ mph} = 70 \times \frac{5280}{3600} \text{ fps} = 102.67 \text{ fps} \][/tex]

Now, substitute [tex]\( v = 102.67 \) fps[/tex] and [tex]\( d = 90 \) feet[/tex] into the equation:

[tex]\[ 90 = k \times (102.67)^2 \][/tex]

Calculate [tex]\( (102.67)^2 \)[/tex]

[tex]\[ (102.67)^2 = 10545.84 \][/tex]

[tex]\[ 90 = k \times 10545.84 \][/tex]

Solve for [tex]\( k \)[/tex]

[tex]\[ k = \frac{90}{10545.84} = 0.00853 \][/tex]

Now, substitute [tex]\( k \)[/tex] back into the model:

[tex]\[ d = 0.00853 v^2 \][/tex]

Estimate the Stopping Distance at [tex]71 \ miles\ per\ hour[/tex]

Convert [tex]71 \ miles\ per\ hour[/tex] to feet per second:

[tex]\[ 71 \text{ mph} = 71 \times \frac{5280}{3600} \text{ fps} = 103.87 \text{ fps} \][/tex]

Now, calculate the stopping distance [tex]\( d \)[/tex] at this speed:

[tex]\[ d = 0.00853 \times (103.87)^2 \][/tex]

[tex]\[ d = 0.00853 \times 10781.14 \][/tex]

[tex]\[ d = 91.84 \][/tex]