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3 years ago

5

The smith family's car needed 4.2 gallons of gasoline to drive a distance of 150 miles. nbased on this information, determine th

e average gas mileage their vehicle is capable of as an expression of miles per gallon

1 answer:

Zina [86]3 years ago

8 0

hmm. ill try to work it out. try searching it up on you tube or something

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Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

6 0

2 years ago

What is the value of x

expeople1 [14]

Step-by-step explanation:

x+2+x=180

2x=180-2

2x=178

x=89

6 0

3 years ago

1 + 1 2 ⋅ (4x − 6) = −2

Dmitry [639]

1.4375

<u>Step-by-step explanation:</u>

Step 1:

Let the given equation be $1+12(4X-6)=-2$

To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.

Step 2:

Let us expand the equation as $1+ (12*4X)-(12*6)=-2$

Step 3:

Let us expand it further as $1+48X-72=-2$

Step 4:

To find X segregate X in one side and all other remaining terms in other side as follows

$48X=-2+72-1$

After the simplification the numerical value is

$48X=69$

Step 5:

Keep X along one side and bring 48 to the denominator of another side to find X as follows

$X=69/48$

And the value of X is 1.4375

4 0

2 years ago

Read 2 more answers

natima [27]

It should be 376,656 ft^2 bc
1. square the bases (456 x 456 = 207936)
2. four triangles 4(1/2 x base x height) which would be 4(1/2 x 456 x 185) = 168720
then add up 168720 + 207936 = 376656
hope this helps :D

8 0

1 year ago

What is the surface area of the solid that can be formed by this net?<br><br>plz help fast!!!

Fudgin [204]

Answer:

58 in^2.

Step-by-step explanation:

This is the sum of the area of 4 small rectangles + the area of the 2 larger rectangles

= 2*4*1 + 2*5*1 + 2*4*5

= 8 + 10 + 40

= 58 in^2

6 0

3 years ago

Read 2 more answers