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3 years ago

Quickly answer please

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Just apply Pythagoras theorem
(13)2-(7)2=(b)2
169-49=b2
120=b2
B=root 120
Option A
HOPE IT WAS HELPFUL:)

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Kevin is 3 years older than brendon two years ago Kevin was 4 times as old as brendon . How old is Kevin now

Tpy6a [65]

Answer:

Kevin is 6

Step-by-step explanation:

Let k represent Kevin's age now. Then Brendon's age now is (k-3). Two years ago the relationship of their ages was ...

k-2 = 4((k-3) -2)

k -2 = 4k -20 . . . . . eliminate parentheses, collect terms

3k = 18 . . . . . . . . . . add 20-k

k = 6 . . . . . . . . . . . . divide by 3

Kevin is 6 now.

4 0

3 years ago

Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

• cos2x

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$

$\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}$

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0

1 year ago

21x-5=7+17x Write it down step by step please

Nat2105 [25]

Answer: x=3

Step-by-step explanation: Step 1: Simplify both sides of the equation.

21x−5=7+17x

21x+−5=7+17x

21x−5=17x+7

Step 2: Subtract 17x from both sides.

21x−5−17x=17x+7−17x

4x−5=7

Step 3: Add 5 to both sides.

4x−5+5=7+5

4x=12

Step 4: Divide both sides by 4.

$\frac{4x}{4}$ = $\frac{12}{4}$

So Final Answer: x=3

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

4 0

3 years ago

Read 2 more answers

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alexgriva [62]

A. C(n)=10n+125

cost×number of buttons is equal to 10 cents times the number of buttons, plus the $125 cost of the button machine

6 0

3 years ago

Help me please in number 4

Dvinal [7]

Larger negative numbers are less than, if you picture a number line.

<.......-83 ............-38........0........+38..........>

-83 < -38

The canyon is deeper or has a lower elevation than the scuba diving location.

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3 years ago