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3 years ago

What is the arc measure of major arc ABC in degrees?

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

123847323247647525547824817703412

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A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou

Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0

3 years ago

Find the equation of the line that passes through both (5,1) and (8,-2)

Georgia [21]

Let $f(x) = ax+b$ be the line that passes through both points.

We know that $f(5) = 1$ and $f(8) = -2$ . So:

$\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}$

Solving the system, we get that a= -1 and b = 6.

So the line is equal to $f(x) = 6-x$ .

5 0

3 years ago

Please help and explain how to do this. thank you in advance!

Sholpan [36]

We want to solve
$3e^{2x}+5=27$

Subtract 5 from each side.
$3e^{2x}=22$
Divide each side by 3.
$e^{2x}=7.3333$
Take natural logs of each side.
$2x=ln(7.3333)=1.9924$
Divide each side by 2.
x = 0.9962

Answer: x = 0.996 (nearest thousanth)

6 0

3 years ago

Simplify: x+4-5x-2 A:-5x+2 B:-5x-2 C:-4x+2 D:-4x-2

mezya [45]

Answer:

C:-4x+2

Step-by-step Explanation:

$x + 4 - 5x - 2 \\ = x - 5x + 4 - 2 \\ = - 4x + 2 \\$

5 0

4 years ago

Hayley has 272 beads.she buys 38 more beads. She will use 89 beads to make bracelets and the rest to make necklaces. She will us

STALIN [3.7K]

First, do 272 + 38 = 310
Secondly, do 310 - 89 = 231
Third, do 231 ÷ 9 = 25

The most number of beeds she can have is 25

5 0

3 years ago