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3 years ago

I need help please be sure of your answer.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or: 15 cm^2

The bottom has the same area: 15 cm^2

Each of the ends has the area (3 cm)(2.5 cm): 7.5 cm^2

7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm) 12.5 cm^2

12.5 cm^2

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

70 cm^2

The total lateral area is 70 cm^2

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Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +

aleksley [76]

Answer:

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================$

$\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10$

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3 years ago

Mr. Smith wants to figure out which fast food restaurant is the most popular

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3 years ago

To become a member at All Sport Gym, you must first pay a one time fee of $25. After that, the cost of membership is $10 per mon

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Answer:

25-10=15

Step-by-step explanation:

8 0

3 years ago

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3 0

3 years ago

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

yanalaym [24]

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.

8 0

3 years ago