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4 years ago

Sonia has 120 blocks. She decides to stack up all the blocks so that each row

Mathematics

1 answer:

Darina [25.2K]4 years ago

4 0

Answer:

Step-by-step explanation:

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How do you graph y = 1/4x?

pickupchik [31]

The answer to the question

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3 years ago

In △ABC, point M is the midpoint of AB , point D∈ AC so that AD:DC=2:5. If AABC=56 yd2, find ABMC, AAMD, and ACMD.

Komok [63]

Since point M is the midpoint of AB, then AM=MB.

Consider the area of the triangles ABC and BMC:

$A_{ABC}=\dfrac{1}{2}\cdot AB\cdot h_c=56\ yd^2,$

where $h_c$ is the height drawn from the vertex C to the side AB.

So, $AB\cdot h_c=112\ yd^2.$

Now

$A_{BMC}=\dfrac{1}{2}\cdot BM\cdot h_c=\dfrac{1}{2}\cdot \dfrac{AB}{2}\cdot h_c=\dfrac{1}{4}\cdot AB\cdot h_c=\dfrac{1}{4}\cdot 112=28\ yd^2.$

Also

$A_{AMC}=A_{ABC}-A_{BMC}=56-28=28\ yd^2.$

Now consider the area of the triangles AMD and CMD. Let $h_M$ be the height drawn from the point M to the side AC.

$A_{AMD}=\dfrac{1}{2}\cdot AD\cdot h_M=\dfrac{1}{2}\cdot \dfrac{2AC}{7}\cdot h_M=\dfrac{2}{7}\cdot \left(\dfrac{1}{2}\cdot AC\cdot h_M\right)=\dfrac{2}{7}\cdot A_{AMC}=\dfrac{2}{7}\cdot 28=8\ yd^2.$

Therefore,

$A_{MDC}=A_{AMC}-A_{AMD}=28-8=20\ yd^2.$

Answer: $A_{MBC}=28\ yd^2, A_{AMD}=8\ yd^2, A_{MDC}=20\ yd^2.$

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3 years ago

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Two months ago, a car dealership sold 150 cars. Thirty of the cars were red. Last month, the dealership sold 200 cars. Predict t

Romashka-Z-Leto [24]

Do you know what colors they had?

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3 years ago

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Please explain what mark up is to me. Keep it simple

iogann1982 [59]

Hey there!

Markup is the percentage that the cost of an item is increased.

For example, if a company bought a pair of headphones that costed $100 and they sold it for $150, the markup was 50%, since half of the original cost was added. if the markup were 100% it would have been sold for $200, since it added 100% of the original.

I hope this helps!

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3 years ago

Sam needs an average of 65 on his two sentence test he scored 60 on his first test what is the minimum grade he needs on his sec

Ksenya-84 [330]

The minimum Sam need to get is a 70.

70 + 60 = 130
130/2 = 65

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3 years ago