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Lyrx [107]
3 years ago
7

2/3(9a+18b)=6a+kb

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0

Answer:

4.) 12

Step-by-step explanation:

\frac{2}{3} (9a + 18b) = 6a + kb \\  \\  \implies \:  \frac{2}{3}  \times 9a +  \frac{2}{3}  \times 18b = 6a + kb \\  \\  \implies \: { 6a} + 12b = 6a + kb \\  \\  \implies \:  \cancel{ 6a} + 12b -  \cancel{ 6a} = kb \\  \\  \implies \:  12b = kb \\  \\ \implies \: k =  \frac{12\cancel b}{\cancel b}  \\  \\ \huge \implies \: k = 12

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The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
nasty-shy [4]

This question is not complete. This is because it lacks the appropriate diagram containing necessary information to solve this question.

Please find attached the appropriate diagram to solve for this question

Complete Question :

The surface area of a given cone is 1,885.7143 square inches. What is the slant height?

Answer:

25 inches

Step-by-step explanation:

In the diagram, we are given the following information

Height of the cone = 20 inches

Radius of the cone = 15 inches.

The formula for the slant height of a cone represented by l =

l² = r² + h²

l = √(r² + h²)

l = √(15² + 20²)

l = √(225 + 400)

l = √625

l = 25 inches

Therefore, the slant height of this cone = 25 inches

3 0
3 years ago
What is the unknown fraction
Veseljchak [2.6K]

Answer: B. 8/100

      Let's give 5/10 a denominator of 100 since 58/100 does, so they have common denominators:

5/10 * 10 = 50/100

      Now, we can subtract 50/100 from 58/100 to find the unknown fraction:

58/100 - 50/100 = 8/100

      This gives us an answer of,

                   B. 8/100

6 0
2 years ago
Find (w² + 1)(w³ - w + 1).
Citrus2011 [14]

Answer:

Product is w^5+w^2-w+1

Step-by-step explanation:

Given: (w^2+1)(w^3-w+1)

Simplify the product of polynomial.

It is product of binomial with trinomial.

\Rightarrow (w^2+1)(w^3-w+1)

\Rightarrow w^2(w^3-w+1)+1(w^3-w+1)        (Distributive property)

\Rightarrow w^2\cdot w^3-w^2\cdot w+w^2\cdot 1+w^3-w+1  (Distributive property)

\Rightarrow w^5-w^3+w^2+w^3-w+1             (combine like term)

\Rightarrow w^5+w^2-w+1

Product is w^5+w^2-w+1

7 0
4 years ago
WHAT IS THE MLA SURE OF ANGLE D PLZ HELP
Oliga [24]
AEB = CED = 180 - 45 - 14 = 121 deg
EDC = 180 - 121 - 27 = 32 deg

So angle D is 32 degrees
6 0
4 years ago
Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f
alekssr [168]

Write the set of points from  -6 to 0 but excluding  -4  and 0 as a union of intervals

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So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0)  --- Interval from  -6 to 0 but excluding  -4  and 0



7 0
3 years ago
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