to prepare for a final exam Corine studied for 2 1/2 hours. Levon studied for 2/3 as long as Corine. How long did Levon study?

Answer:

90° is correct answer. :)

Answer:

The volume of the cylinder is324 п cm

The area of the base of the cylinder is 81 п cm

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

n x (9^2) x 4 = 324n

Area of the base of the cylinder : Area of a circle = πr² =  π x 9^2 = 81 π

Answer:

9 feet im pretty sure

Step-by-step explanation:

Answer:

yolo

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

The values given, 3 and 4, are the legs a and b. The hypotenuse is the third and longest side, c.

To find the length of the hypotenuse, use the formula a² + b² = c².

Substitute our values for a and b and solve.

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

√25 = √c²

5 = c

The hypotenuse is 5 meters long.

I hope this helps <3

Answer:

I believe that the answer is 40 degrees.

Step-by-step explanation:

A central angles' measurement is the same measure of the intercepted arc

Answer:

a

Step-by-step explanation:

3/15 simplifies to 1/5

Answer:

c.    {....., -8, -7, -6}

Step-by-step explanation:

x - 9 < -15

x < -6

The value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets is {......,-8, -7, -6}

Given the inequality expression

x - 9 < -15

Add 9 to both sides

x - 9 + 9< -15 + 9

x + 0 < -15 + 9

x < -15 + 9

x < -6

Hence the value of x must be less than -6. From the set of values, the values less than -6 are -7, -8, -9.... The correct sets are {......,-8, -7, -6}

Learn more on inequality here: https://brainly.com/question/22354790

Answer:

14 miles

Step-by-step explanation:

because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.

Total distance = 8 + 6 = 14 miles

Answer:

44.1

Step-by-step explanation:

Cosine = Adjacent over Hypotenuse

Adjacent of ∠T = 28 and hypotenuse = 39

Which means that  [tex]cos(x)=\frac{28}{39}[/tex]

Now we solve for x

To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side

[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]

We're left with x = 44.11461855

Our last step is to round to the nearest tenth and we get that the answer is 44.1

Answer:

Lateral surface area of can = 47 inch² (Approx.)

Step-by-step explanation:

Given:

Diameter of given can = 3 inches

Height of given can = 5 inches

Find:

Lateral surface area of can

Computation:

Radius of can = 3 / 2 = 1.5 inch

Lateral surface area of can = Lateral surface area of cylinder

Lateral surface area of cylinder = 2πrh

Lateral surface area of can = 2πrh

Lateral surface area of can = 2(3.14)(1.5)(5)

Lateral surface area of can = 47.1

Lateral surface area of can = 47 inch² (Approx.)

Answer:

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

4x = - 12 - 28

If the interest for 3 months is $260, then the total interest for the year is 4 times $260 or $1040.

Let x = amount invested at one of the rates, say 6%. This leaves the rest of the $16,000 or (16000-x) to be invested at the other rate, at 8%.

The equation is basically that the interest earned for 1 year at 6% plus the interest earned for the year at 8% is equal to the total interest for the year, or $1040.

.06x + .08(16000-x) = 1040

.06x + .08(16000) - .08x = 1040

-.02x + 1280 = 1040

Subtract 1280 from each side:

-.02x = 1040 - 1280

-.02x = -240

To solve for x, divide both sides by -.02, remembering that a negative divided by a negative is a negative.

x = 240/.02

Either divide with a calculator, or multiply numerator and denominator by 100 to eliminate the decimal.

x = 24000/2 = $12000 at 6%

16000-x = 16000-12000 = $4000 at 8%

Step-by-step explanation:

tanx = opposite / adjacent

Answer:

Yes

Step-by-step explanation:

For the first equation all we need to do is distribute 6 to 3x and 5y. 6*3x = 18x and 6*5y = 30y. For the first equation, it will be: 18x + 30y.

The next equation seems hard but it's simple. First you can easily add, 4x and 6x. That will equal 10x. Then from there distribute 2 to 4x and 2y, so do the same thing as before. 2*4x = 8x and 2*2y = 4y. So now our equation looks like this: 10x + 15y + 8x + 4y + 11y. Now all you need to do is add the x's together and the y's together. 10x + 8x = 18x and 15y + 4y + 11y = 30y. Now we have 18x + 30y. Looks the same, and that is true.

Both equations equal 18x + 30y, so therefore the answer is yes or true.

Answer:

-5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

The change received by Judy is $ 2.69.

Step-by-step explanation:

Bill paid = $ 10

Cost of binder = $ 1.38

Cost of pack of pencils = $ 2.05

Cost of box of erasers = $ 3.88

Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31

The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69

Answer:

I found the answer on this website. It seems correct! Link Below!

Step-by-step explanation

fractions.com/shirynsanswers/odben

Answer:

1/2

Step-by-step explanation:

Answer:

[tex]y=-6x+7[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]6x+y=6[/tex]

Rewrite this in slope-intercept form (to help us find the slope)

Subtract 6x from both sides

[tex]6x+y-6x=-6x+6\\y=-6x+6[/tex]

Now, we can identify clearly that the slope of this line is -6. Because parallel lines always have the same slopes, -6 will therefore be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-6x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-6x+b[/tex]

Plug in the given point (2,−5) and isolate b

[tex]-5=-6(2)+b\\-5=-12+b[/tex]

Add 12 to both sides

[tex]-5+12=-12+b+12\\7=b[/tex]

Therefore, the y-intercept is 7. Plug this back into [tex]y=-6x+b[/tex]:

[tex]y=-6x+7[/tex]

I hope this helps!

Answer:

The answer is C

Step-by-step explanation:

2x + 4y

2 x 3 = 6

4 x 6 = 24

24 + 6 = 30

Answer:

30

Step-by-step explanation:

2x+4y

Let x=3 and y=6

2*3 +4*6

Multiply

6+24

Add

30

Answer:

1/6 x 1/5 = multiplication equation

Answer:

Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x ." This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Step-by-step explanation:

Answer:

Center= (-9,6) Radius=5

Step-by-step explanation:

correct answer:

( x + 9 ) ² + ( y - 6 ) ² = 25

center = ( -9, 6 )

radius = 5

equations:

we know from the given equation that the center would be (-9, 6) because we have to plug into the equation; ( x – h ) ² + ( y – k ) ² = radius²

how to find the center coordinates:

if youre confused on how we got the -9, by using the negative addition rules:

x - (-9) we can simplify that to ( x + 9 ) like shown above so that how we got -9. It's a little easier to find the 6 because its just x - 6 so we dont have to simplify anything its just 6.

how to find the radius:

the radius is a little more difficult to find, but, since we are given 25, we can just type the square root of 25 (√25) which would be 5!

thats it!! hope this helps<3

we use sine rule if we got SAS

the angle of x is 27

Answer:

Inequality Notation: x≥-4

Step-by-step explanation:

An inequality is a mathematical statement that compares two expressions using the ideas of greater than or less than.

Solve 5x+2≥−18.

Subtract 2 from both sides.

5x+2−2≥−18−2

5x≥−20

Divide both sides by 5.

[tex]\frac{5x}{5}[/tex]

x≥-4

Answer:

Step-by-step explanation:

Took the test :)

The angle m∠CBE between the intersection of the chord and tangent line is equal to 41°

To calculate for the angle between the intersection of a chord and a tangent we need to know the measure of the intercepted arc, and then divide it by 2 to get the angle.

If the measure of the arc CAB is given to be equal to 278°, then the measure of intercepted arc BC is calculated as:

arc BC = 360 - 278

arc BC = 82°

angle CBE = 82°/2

m∠CBE = 41°

Therefore, the angle m∠CBE between the intersection of the chord and tangent line is equal to 41°

Read more about chord and tangent here:https://brainly.com/question/4470346

#SPJ1