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3 years ago

I really need help with this question!!!!!!

Mathematics

2 answers:

Arlecino [84]3 years ago

8 0

Answer:

Step-by-step explanation:

Look at both trapezoids and you can find the relation between both

Line DC and GH are equal, those different measurements they have the same characteristics. Same with AB and FE

Divide GH by DZ and you get the scale that you can apply to find FE

30/7.5 = 4

So line FE is 4 times smaller than AB

24/4 = 6

marta [7]3 years ago

6 0

Answer:

Step-by-step explanation:

30 divided by 4= 7.5

so 24 divide by 4= 6

Brainliest????

You might be interested in

Which expression shows the result of applying the distributive property to 12(5y+4) ?

brilliants [131]

12(5y+4)
= 12(5y) + 12(4)
= 60y + 48

hope it helps

6 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

2 years ago

suppose that two current exchange rates are US $1 = 117.9 Yen and 1 peso = US $0.0476. What is the value of 1 peso in yen?

CaHeK987 [17]

1245 is your answer u welcome !!!!!!!!!

6 0

3 years ago

Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13).

const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

y = 3 x - 11

Step-by-step explanation:

Explanation:-

Given points are (2,-5) and (8, 13)

The Slope of the line

$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3$

Equation of the line having slope 'm' and given point

$y - y_{1} = m (x - x_{1} )$

(x₁ , y₁) = ( 2, -5 )

$y - (-5) = 3 (x - 2 )$

y + 5 = 3x - 6

The equation of the straight line in slope intercept form

y = m x + c

y = 3 x - 6-5

y = 3 x - 11

Final answer:-

The equation of the straight line in Slope- intercept form

y = 3 x - 11

8 0

3 years ago

What is the solution of the system?

evablogger [386]

Subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y

there are an infinite number of solutions

8 0

4 years ago