need help solving this problem

Answer:

17L

Step-by-step explanation:

Volume of cone = 1/3(Volume of cylinder )

= 1/3 * 51L

= 17L

Answer:

Step-by-step explanation:

Side-Angle-Side postulate (SAS)

There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given question,

D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

In ΔAED and ΔCFD,

Side DE = Side DF

m∠EDA  = m∠FDC

Side AE= Side FC

According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, both triangles are congruent.

Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

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The formula that can be used to determine the amount Scrooge would have in 4 years is: A(1 +r)^nm

A = Amount invested = $400

r = interest rate = 4/12 = 0,0333

n = number of years

m = number of compounding

$500(1.0333)^(12 x 4) = $586.60.

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Answer:

3.7 or 3.71428571429

Step-by-step explanation:

:/

Answer:

3.714

Step-by-step explanation:

78/21 is 3.71428571429 but you can round that to 3.714

Answer:

c. the relationship is proportional because the graph passes through the origin

Answer: 3/8

Step-by-step explanation: We don't know how many votes are there for the class secretary.

The distance to run to minimize the time needed to reach the island is

3.4 miles

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x = distance to run.

Remaining distance to the point that is closest to the island = (4 - x) miles.

The distance d to the point x from the island is

using the Pythagorean theorem:

d² = 1² +(4 - x)²

d² = 1 + 16 -8x + x²

d² = 17 - 8x + x²

d = √(x² - 8x + 17)

Total travel time.

= Times running + Time swimming.

Speed = Distance / Time

Time = Distance/Speed

Total time:

T = x/6 + d/3

T = x/6 +√(x² - 8x + 17)/3

Minimized time is when T' is zero.

T' = 0

1/6 + 1/3 x 1/{2(√(x² - 8x + 17)} x (2x - 8) = 0

1/6 + (2x - 8)/6√(x² - 8x + 17) = 0

Multiply 6 on both sides.

1 + (2x - 8)/√(x² - 8x + 17) = 0

√(x² - 8x + 17) + 2x - 8 = 0

√(x² - 8x + 17) = 8 - 2x

Square both sides.

(x² - 8x + 17) = (-(2x - 8))²

(x² - 8x + 17) = (2x - 8)²

x² - 8x + 17 = 4x² - 32x + 64

4x² - x² - 32x + 8x + 64 - 17 = 0

3x² - 24x + 47 = 0

Finding the roots of the quadratic equation.

We get,

x = 3.4 and 4.6

Thus,

The distance to run to minimize the time needed to reach the island is

3.4 miles

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Answer: 5/6 as a decimal is 0.833

Step-by-step explanation:

just divide 5 by 6

Answer:

[tex]n = \frac{53}{79}[/tex]

Step-by-step explanation:

79 : 53

divide by 79 on both sides

[tex]1 : \frac{53}{79}[/tex]

[tex]n = \frac{53}{79}[/tex]

Answer: 1 : 1.49

Step-by-step explanation:

the starting Ratio was= 79 : 53

now its 1 : ?

The first number was divided by 79 so we divide the other number by 79.

1 : 53 is now

1 : 1.49 (This is rounded to the 2d.p since the question asked for it)

Answer:

37

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense

Answer:

B

Step-by-step explanation:

Step 1: Divide both sides by 4.

4x/4 = 32/4

4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8

Answer:

Step-by-step explanation:

280 / (80 - 10) - 280 / 80 = 0.5 hr longer

Answer:

6m²-m²+5m-1

Step-by-step explanation:

Polynomial 1 = m³ + 3m² - 18m

Polynomial 2 = 23m - 4m²

Polynomial 3 = 5m³ - 1

(m³+3m²-18m)+(23m-4m²)+(5m³-1)

When adding polynomials, you'll add like terms.

(m³+5m³)+(3m²-4m²)+(-18m+23m)+(-1)

(6m³)+(-m²)+(5m)+(-1)

6m³-m²+5m-1

Answer:

simple random sample

Step-by-step explanation:

I hope that's it

Answer:

308 miles

Step-by-step explanation:

speed * time = distance

56 * 5.5 = 308

308 miles

Answer:

B = 0

Step-by-step explanation:

If you have y = 2x + b and are trying to get to y = 2x

Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.

Basing ourselves off of the formula "y = mx + b"

B = 0 would mean that the y-intercept of the line is 0

Answer:

0

Step-by-step explanation:

if y=2x and y=2x+b is the same then b must be 0.

Answer:

$20.40

Step-by-step explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

Answer:pretty sure the -4 would be on the right of the seven. And to the left of -1.

Step-by-step explanation:

Answer:

y = -1/5x - 1

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

Write the given equation in the slope-intercept form: y = mx + b

5x - y = 3

-y = -5x + 3

y = 5x - 3       multiply by -1

The slope of the given line is 5 ( the coefficient of the x-term).

The slope of the new equation will -1/5 (this is the negative reciprocal of 5).

Next find "b"  using y = mx + b, the new slope -1/5 and the point (0, -1)

y = mx + b

-1 = -1/5(0) + b

-1 = 0 + b

-1 = b  

Now write the equation y = -1/5x - 1

Answer: 27.6/2.3 = 12 bags of trail mix

Step-by-step explanation: Hope this helps :)

The total amount that Fred keeps (and does not put in his savings account) is $20

Total earnings of Fred = $45

Amount spent on music = $5

Amount remaining after spending on music = $40

Fred puts half of what's left in a savings account.

Total amount put in the savings account = 40/2

Total amount put in the savings account = $20

The total amount that Fred keeps (and does not put in his savings account) is $20

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Answer:

a. 1/13

b. 0.077

c. 7.7

Step-by-step explanation:

a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.

Answer:

450

Step-by-step explanation:

Answer:

i just stole your points thank you

Step-by-step explanation:

5 – 6w – 5 – 95 + 2w = –48w – 70

-6w + 2w + 48w = -70 -5 + 5 +95

44w = 25

w=25/44

Answer:

C) 1

Step-by-step explanation:

Its the closest to 1.04

Answer:

1 2/3

Step-by-step explanation:

You divide -3 2/3x to -2 1/5 and you will get 1 2/3