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3 years ago

The measure of the supplement of a 129 degree angle

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

5 0

Answer:

Its supplement is 51 degrees

Step-by-step explanation:

180-129=51

Hope this helped

kramer3 years ago

5 0

Answer:

The supplement is 51 degrees

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+129 = 180

Subtract 129 from each side

x+129-129 = 180-129

x =51

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Use the net below to determine the surface area of the cylinder. (Use 3.14 for Tr.)

baherus [9]

Option D:

Surface area of the cylinder = 753.6 cm²

Solution:

To find the surface area of the cylinder:

Given data:

Radius of the cylinder = 6 cm

Height of the cylinder = 14 cm

The value of π = 3.14

Surface area of the cylinder = $2 \pi r^{2}+2 \pi r h$

$=2\times 3.14\times6^2+2\times3.14\times 6 \times14$

= 226.08 + 527.52

= 753.6 cm²

Surface area of the cylinder = 753.6 cm²

Option D is the correct answer.

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4 years ago

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Answer:

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Solve using algebraic equation: 5sin2x=3cosx (No exponents)

DaniilM [7]

$5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x$

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

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Now the zero product property tells us that there are two cases where this is true,

$\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}$

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of $\dfrac\pi2$ , so $x=\dfrac{(2n+1)\pi}2$ where $n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}$

which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .

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3 years ago

9. I think the answer is letter A or letter B

Sav [38]

Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

b-((113/10))>0

Step by step solution :

STEP

113

Simplify ———

Equation at the end of step

113

b - ——— > 0

STEP

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 10 as the denominator :

b b • 10

b = — = ——————

1 10

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113) 10b - 113

—————————————— = —————————

10 10

Equation at the end of step

10b - 113

————————— > 0

STEP

3.1 Multiply both sides by 10

3.2 Divide both sides by 10

b-(113/10) > 0

Solve Basic Inequality :

3.3 Add 113/10 to both sides

b > 113/10

Inequality Plot :

3.4 Inequality plot for

b - 11.300 > 0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

5 0

3 years ago