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tiny-mole [99]
2 years ago
9

ABCD is a rectangle, with M the midpoint or BC and N the midpoint of CD. If CM=4 and NC=5, what percent of the area of the recta

ngle is shaded
Mathematics
1 answer:
svp [43]2 years ago
6 0

Answer:

87.5%

Step-by-step explanation:

Given:

  • ⇒ ABCD is a rectangle, with M the midpoint of BC and N the midpoint of CD.
  • ⇒ CM = 4 and NC = 5.

Area of triangle NCM

⇒ 1/2 × base × height

⇒ 1/2 × CN × CM

⇒ 1/2 × 5 × 4

⇒ 10cm²

Length of rectangle ⇒ 10

Breadth of the rectangle ⇒ 8

↓

Area of rectangle ⇒ Length × Breadth

Area of rectangle ⇒ 10 × 8 = 80cm²

Area of shaded region ⇒ Area of rectangle  -  Area of triangle

Area of shaded region ⇒ 80 - 10 = 80cm²

Percentage of the shaded region = Shaded/complete rectangle × 100

⇒ 70/80 × 100 = 87.5

⇒ The percent of the area of the rectangle shaded is therefore 87.5%.

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A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of
Delvig [45]

Answer:

a) Sample A

b) Sample D

Step-by-step explanation:

The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.

The sample that has the bigger proportion is Sample A, with p=38/40=0.95.

The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.

The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.

Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.

4 0
3 years ago
What is the GCF for <br> 51, 85<br> and then<br> 40, 63
Alinara [238K]

Answer: 1

Step-by-step explanation:

5 0
4 years ago
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Misha Larkins [42]

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4 0
2 years ago
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Trigonometry
Alchen [17]

The area of the triangle PQR is 17.6 square units.

Explanation:

Given that the sides of the triangle are PQ = 12 and PR = 3 and m\angle P = 78^{\circ}

We need to determine the area of the triangle PQR

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

\text {Area}=\frac{1}{2} qr \sin P

Substituting the values, we get,

\text {Area}=\frac{1}{2}(12)(3) \sin 78

Simplifying, we have,

\text {Area}=\frac{1}{2}(36)(0.98)

Multiplying the terms, we have,

\text {Area}=\frac{35.28}{2}

Dividing, we get,

\text {Area}=17.64

Rounding off to the nearest tenth, we have,

Area=17.6

Thus, the area of the triangle PQR is 17.6 square units.

3 0
3 years ago
Read 2 more answers
Ian drinks 3 \text { pints}3 pints3, start text, space, p, i, n, t, s, end text of water during a long hike. He drinks 1\dfrac12
r-ruslan [8.4K]

Answer:

Total = 7\frac{1}{2} cups

Step-by-step explanation:

Given

Initially, he drank 3 pints of water

Then, 1\frac{1}{2} more cups

Required

How many cups did Ian drink altogether

This question can be solved by adding the size of water he drank during the hike and when he got home

i.e.

Total = 3\ pints + 1\frac{1}{2} cups

But the answer should be in cups;

So, number of pints has to be converted to number cups

Given that 1 pint = 2 cups;

3 pints will be 3 * 2 cups

3 pints = 6 cups;

So,

Total = 3\ pints + 1\frac{1}{2} cups

Total = 6\ cups + 1\frac{1}{2} cups

Total = 7\frac{1}{2} cups

Altogether, he drank 7\frac{1}{2} cups of water

5 0
3 years ago
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