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3 years ago

HELP PLS 20 POINTS! I WILL MARK BRAINLIEST

Mathematics

2 answers:

Alex777 [14]3 years ago

7 0

Answer:

I believe it is 2 for $5.08

Step-by-step explanation:

1.27 times 2 is 2.54

2.54 times 5 is 12.70

FrozenT [24]3 years ago

6 0

Answer:

D 2(1/2) for $6.25

Step-by-step explanation:

a. 5.08/2=2.54

b.12.7/5=2.54

c.1.27/0.5=2.54

d.6.25/2.5=2.5

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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

Read this statement: “If a triangle is isosceles, then it is equilateral.” What is the converse of the statement?

makkiz [27]

From the above statement that <span>“If a triangle is isosceles, then it is equilateral" the only thing i can conclude is </span>If a triangle is equilateral, then it is isosceles.

8 0

3 years ago

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!!!!GIVING FIFTY POINTS T WHOEVER HELPS ME PLEASE!!!!

nadezda [96]

Answer:

14)9

15)6

16)57

17)29

4 0

3 years ago

The equation of line l is -3y + 4x = 9 . Write the equation of a line that is parallel to line l and passes through the point (-

Elan Coil [88]

Answer: y = 3x/4 + 22

Step-by-step explanation:

The equation of line l is -3y + 4x = 9

-3y + 4x = 9

3y = 4x -9

y = (4x -9)/3= 4x/3 - 3

From the slope-intercept equation,

y = mx +c

Where m= slope

Comparing both equations, we have

m = 4/3

If the new line that parallel to line l, that means they have the same slope

So, slope if new line is 3/4.

Points =(-12, 6)

From y = mx + c

x = -12,y = 6

6= 4/3 × -12 + c

6 = -16 + c

c = 6 + 16 = 22

Therefore

The equation of the line that is parallel to line l and passes through the point (-12,6) ,

y = 3x/4 + 22

7 0

3 years ago

pls help !! I need help with these few math problems !! Ily :) PLS SIMET WITH A LINK OF A PEICE OF PAPER WITH THE WORK :)

N76 [4]

Answer:

a.) 32 miles per gallon

divide by two to get one gallon

b.) She can go 32 miles on one gallon

use the info from part a

c.) 384 miles

multiply 32 by 12 to get 12 gallons

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3 years ago

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