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Mekhanik [1.2K]
3 years ago
15

In trapezoid ABCD, points M and N are arbitrary points on bases AB and CD respectively. Find the area of the trapezoid, if area

AABN=23 cm2 and area ACDM=18 cm2.
Mathematics
1 answer:
user100 [1]3 years ago
6 0

We can let M=B and N=D, so that MN becomes diagonal BD, dividing the trapezoid into ∆ABD (∆ABN) and ∆CDB (∆CDM). The sum of the areas of these triangles is the area of the trapezoid.

area ABCD = 23 cm² +18 cm² = 41 cm²

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PPLLEEAASSEE HHEELLPP
34kurt

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Now, we multiply the numerators also. We have our new numbers: 2 8/24 for October, 12/24 for November, and 3 9/24 for December. Now, we have to add them together. 2 8/24 + 12/24 = 2 20/24

Now, add the December value to the combined October/November values.

2 20/24 + 3 9/24 = 5 29/24

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6 9/24

Answer: 6 3/8 inches of rain occured in the three months.

8 0
3 years ago
What is the answer to 12=4-4x
larisa [96]

Answer:

-2

Step-by-step explanation:

12=4<u>-4</u><u>x</u>

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<u>4</u><u>x</u><u>=</u>-8 /:4

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3 0
3 years ago
Read 2 more answers
Ms. johnson owns a spice shop. she combines 5 pounds of dried rose hips and 1 pound of five-spice powder to make a new seasoning
Burka [1]

Given the 6 pound weight of the new seasoning having ingredients that cost $8, and $11, the amount she should charge for 1 ounce is $0.53125

<h3>Which method can be used to calculate the price of the new seasoning?</h3>

The ingredients in the new seasoning are;

5 pounds of dried rose hips + 1 pounds of five-spice powder

Cost of the ingredients are;

1 pound of dried rose hips = $8

1 pound of five-spice powder = $11

The cost of combined spice, <em>C</em>, is therefore;

C = $8 × 5 + $11 × 1 = $51

The weight of the new combined seasoning = (5 + 1) pounds = 6 pounds

Cost of 1 pound of the new seasoning is therefore;

1 \: lb =  \frac{51}{6}  = 8.5

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Therefore;

1 \: ounce =  \frac{8.5}{16}  = \mathbf{0.53125}

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Learn more about unit conversion calculation here:

brainly.com/question/4845674

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7 0
2 years ago
Read 2 more answers
(2 points) The least squares method requires that the variance σ2????σϵ2 of the error variable ????ϵ is a constant no matter wha
attashe74 [19]

Answer:

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Step-by-step explanation:

The  OLS regression assumption of error variance being constant irrespective of independent variables, is called Homoscedasticity.

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6 0
4 years ago
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