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3 years ago

Using the Distributive Property, rewrite 2x + 16 as a product of two factors.

Mathematics

2 answers:

Whitepunk [10]3 years ago

8 0

The following answer is C. 2(x+8)

STatiana [176]3 years ago

3 0

Answer:

c. 2(x + 8)

Step-by-step explanation:

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

Explain how to find the range of a data set. What is an advantage of using the range as a measure of variation? What is a disa

Eduardwww [97]

Answer:

1) The range is found by subtracting the minimum data entry from the maximum data entry.

2) It is easy to compute.

3) It uses only two entries from the data set.

Step-by-step explanation:

We are given the following information in the question:

1) Range is difference between the highest value and the lowest value of the data.

To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.

Option A) The range is found by subtracting the minimum data entry from the maximum data entry.

2) Advantage of range as a measure of variation.

Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.

Option B) It is easy to compute.

3) Disadvantage of range to use as a method of variation.

The disadvantage of using range is that it does not measure the spread of the data set
It only measures the spread between highest and lowest data points in data set.

Option C) It uses only two entries from the data set.

4 0

3 years ago

I only have a picture so you get a better image

Likurg_2 [28]

Answer:

(15,16)

Step-by-step explanation:

C=halfway between A to B

A to B on the x axis goes across by 24

24/2 =12

3+12=15

A to B on the y axis goes up by 28

28/2 = 14

2+14=16

(15,16)

6 0

3 years ago

Read 2 more answers

On average, the merchandise shop sells 80 CDs for every 1 vinyl record. Estimate how many vinyl records they are likely to sell

sp2606 [1]

The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
         80 CDs -------------------- 1 vinyl record
        760 CDs --------------------- x vinyl records
     ---------------------------------------------------------
        80 : 760 = 1 : x
        80 x = 760
        x = 760 : 80
        x = 9.5 or 9 ( we need a whole number )
       Answer: They are likely to sell 9 vinyl records.

7 0

3 years ago

Read 2 more answers

1. Simplify the expression: 4+36+(10-8)’-3+7 A. 130 B. 100 C. 38 D. 37

Alika [10]

Answer:

The answer isn't in the options anyway I'll write it. the answer is 46.

Step-by-step explanation:

According to BODMAS rule - addition should be done first so

4+36= 40 and -3 +7 = 4 so 40+4 ,= 44

then we should do subtracting so, 10-8 = 2

to conclude we should bring the equation to an end so,

44+2 = 46

HOPE THIS HELPS YOU

6 0

3 years ago