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3 years ago

(Find the length of the missing side in each triangle)

Mathematics

1 answer:

just olya [345]3 years ago

4 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The relevant trig relations are summarized by the mnemonic SOH CAH TOA. This means ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

So, for each triangle, determine the relationships of the given sides to the given angle: adjacent, opposite, or hypotenuse. Then write and solve the equation using one of the above templates.

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Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.

Allisa [31]

Let, the age of Daniel be x years and Kevin be y years.

Given, Kevin is 3 years older than Daniel.

So we can write the equation as y=x+3

Also given, 2 years ago Kevin was 4 times as old as Daniel.

2 years ago, Daniel's age = (x-2) years

2 years ago, Kevin's age = (y-2) years.

So we can write the equation as (y-2) = 4(x-2)

We have got the two equations

y = x+3 ..... equation 1

(y-2) = 4(x-2) ..... equation 2

Now we are plugging in the value of y from equation 1 to equation 2

x+3-2 = 4(x-2)

x+1 = 4(x-2)

Now we have to distribute 4 in the right side.

x+1 = 4x -8

We will have to take x in one side. so let's move 4x to the left side by subtracting it to both sides.

x -4x+1 = 4x-4x -8

-3x+1 = 0-8

-3x+1 = -8

Now we have to move 1 to the right side by subtracting 1 from both sides.

-3x +1 -1 = -8-1

-3x+0 = -9

-3x = -9

Now we can get x by moving -3 to the right side. As -3 is multiplied there so we can move it by dividing both sides by -3.

-3x/-3 = -9/-3

x = 3

So we have got the required answer. Daniel is 3 years old.

8 0

4 years ago

I need help ASAP, please!

Scrat [10]

This seems like it would be more of a bar graph. The way to construct this would be to make x (bottom) the test scores and y (left) the amount of students who got that score. You would be able to conclude that a majority of students in the class got between 80 and 89.

6 0

3 years ago

Please help!!!!!!!! Show your work! Thank you so much!

kicyunya [14]

The formula of the volume of a cylinder:

$V=\pi r^2 H$

r - the radius
H - the height

We have:
r = 7mm; H = 4mm

substitute:

$V=\pi\cdot7^2\cdot4=\pi\cdot49\cdot4=196\pi\ mm^3\approx196\cdot3.14=615.44\ mm^3\approx615.4\ mm^3$

5 0

3 years ago

Read 2 more answers

Use long division to solve 38 divided by 4

4vir4ik [10]

If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)

7 0

2 years ago

Solve the system.<br><br> −x+4y=6<br> −x+3y=5

g100num [7]

Answer:

(-2,1)

Step-by-step explanation:

−x+4y=6

−x+3y=5

We can use elimination by multiplying the second equation by -1

−x+4y=6

x-3y=-5

-----------------

y = 1

Now we can solve for x

x-3y=-5

x - 3(1) = -5

x -3 = -5

Add 3 to each side

x+3-3 = -5+3

x = -2

(-2,1)

6 0

3 years ago

(Find the length of the missing side in each triangle)​

(Find the length of the missing side in each triangle)