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2 years ago

2. Santiago wants the lateral surfaces of the

Mathematics

1 answer:

MakcuM [25]2 years ago

8 0

Answer:

262 square feet of the ramp will be painted red.

Step-by-step explanation:

The lateral surface is surface area of the sides of the ramp without including the top and bottom faces

The ramp shown has three surfaces

The 2 sides are triangles with length 20 and height 8.5

The back is a rectangle shape with length 12 and height 8.5

Step 1: Finding the Area of triangle

The area of the triangle = $\frac{1}{2} length \times height$

The area of the triangle = $\frac{1}{2} (20 \times 8.5)$

The area of the triangle = $\frac{170}{2}$

The area of the triangle = 85 square feet

Area of 2 triangles = $85 \times 2$ = 170

Step 2: Finding the Area of Rectangle

Area of rectangle = $length \times height$

so,

Area of back rectangle = $12 \times 8.5$ = 102 square feet

Step 3: Finding the total lateral surface area

Total Lateral Surface Area

= Area of triangle + Area of Rectangle

= 272 square feet

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To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much

WITCHER [35]

To solve this problem you must follow the proccedure shown below:

1. Amount of lemonade in pints:

1 quart of water=2 pints
1 pint of lemon
(9 ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

Total in pints=2 pints+1 pint+0.56 pints
Total in pints=3.56 pints

2. Amount of lemonade in cups:

Total in cups=(3.56 pints)(2 cups/1 pint)
Total in cups=7.12 cups

3. Amount of lemonade in ounces:

Total in ounces=(7.12 cups)(8 ounces/1 cup)
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2 years ago

Please please please help me

Gwar [14]

A) 15/4 = 4/4+4/4+4/4+3/4= 3 3/4
B)9/2= 2/2+2/2+2/2+2/2+1/2= 4 1/2
c = 26/12 = 12/12 + 12/12 + 2/12 = 2 2/12
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2 years ago

A Car is moving on a straight road with velocity 30m/s and is speeding up at constant rate and reaches a velocity of 90m/s. What

poizon [28]

Answer:

60m/s

Step-by-step explanation:

velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is

[90+30] /2

=60 m/s

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2 years ago

Triangles E F G and E prime F prime G prime are shown. Angles F E G and F prime E prime G prime are 72 degrees. Angles E F G and

Karolina [17]

Answer:

We need a non-included side of one triangle

Step-by-step explanation:

By means of the AAS postulate.

The Angle-Angle-Side postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

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2 years ago

If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei

MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is ${11 \choose 3} = 165 .$ As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is ${7 \choose 3} = 35$ . Thus, there are only 35 ways to distribute the blackboards in this case.

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2 years ago