A farmer's silo is in the shape of a cylinder topped by a hemisphere. If the radius of the silo is 13 ft and the height of the cylindrical portion is 44 ft, what is the volume of the silo?

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

I hope this helps! Let me know if you have any questions :)

Answer:

The answer is 9.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Prisms and pyramids are  geometric shapes that have flat sides, flat bases and angles. So those are some similarities. However, the bases and side faces on prisms and pyramids differ. Prisms have two bases while pyramids only have one. There are a variety of pyramids and prisms, so not all shapes in each category look the same.

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Answer:

0.07

Step-by-step explanation:

To round a decimal to the nearest hundredth, look at the thousandths place.

If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.

If it is smaller than 5, we will keep the number the same.

In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.

The hundredths place value is 0.06, so we will round it up to 0.07.

So, 0.065 will round to 0.07.

Answer:

62

Step-by-step explanation:

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Answer:

[tex]Number\ is\ \frac{3}{4}[/tex]

Step-by-step explanation:

Let the number be x

Subtract 1/2 from x = (x - 1/2)

Multiply 1/2 to the result = 1/2(x - 1/2)

The result is 1/8

That is,

            [tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]

Answer:

78

Step-by-step explanation:

50 - 24 = 26

26 x 3 = 78

Hope it helps...

Answer:

[tex]Find~x:-[/tex]

[tex]4x-37=49[/tex]

[tex]4x=49+37[/tex]

[tex]x=21.5[/tex]

[tex]Find ~y:-[/tex]

[tex]y/5=4x-3[/tex]

[tex]y=5(4*21.5-3)[/tex]

[tex]y=415[/tex]

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by canceling the common factors.

Answer:

-

Step-by-step explanation:

-5/6÷-10

-5/6*1/-10

-5/-60

1/12

Answer:

125.00

Step-by-step explanation:

Answer:

3.2 days

Step-by-step explanation:

All you have to do is divide 8 by 2.5

8 ÷ 2.5 = 3.2

Answer:

40 pieces of wood

Step-by-step explanation:

Find how many pieces he cut by dividing 10 by 1/4

10 / (1/4)

= 40

So, Dan cut 40 pieces of wood

Answer: 30,000

Step-by-step explanation:

1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.

2. The monthly payment is $1,587.

3. The total amount of the monthly payments is $191.

a.  From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.

Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $19.57 x (3,200 / 1,000)

= $62.624

= $63.

b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.

We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $24.06 x (66,000 / 1,000)

= $1,586.76

= $1,587.

c.  From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.

We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $31.34 x (6,100 / 1,000)

= $191.234

= $191.

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Answer:

sen α  =  - 4/5

cos α  =  - 3/5

Step-by-step explanation:

tang α  = 4/3

De la relación fundamental de la trigonometría sabemos:

sen² α   +  cos²α  = 1

Dividiendo la ecuación anterior por cos² α

sen²α/cos²α   +  cos²α / cos²α   =  1 / cos² α

tang²α  +  1   = 1/ cos² α

(4/3)²  +  1  =  1/ cos² α    ⇒    16/9   +  1  = 1/ cos² α

1/ cos² α    =  ( 16  +  9  ) / 9

1/ cos² α    =   25/9

cos² α   = 9/25

cos α    =  3/5

y para calcular el sen α  

sen² α   =  1  - cos²α

sen² α   =  1  - 9/25

sen² α   =  ( 25  -  9 )/ 25

sen² α   =  16/25

sen α  = 4 / 5

Ahora bien el angulo α  está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.

Respuesta:

sen α  =  - 4/5

cos α  =  - 3/5

Answer:

13 and 14

Step-by-step explanation:

Method I - use calculator to find the square root

√193 = 13.892443989449805

Two closest integers

13 and 14

Method II - figure the squares closest to 193

13² = 169

14² = 196

Answer:

A. Independent

Step-by-step explanation:

Answer:

x+6 and x+7

Step-by-step explanation:

Given the quadratic equation;

x^2 + 13x + 42

Factorize

x^2+13x+42 = 0

x^2 + 7x + 6x + 42 = 0

x(x+7)+6(x+7) = 0

(x+6)(x+7) =0

Hence the required binomials are x+6 and x+7

Answer:

$84.76/month

Step-by-step explanation:

We need only determine (calculate) how much the monthly payments are.  We use the given information ($2,034.24/month) and the total length of time (24 months) to determine the monthly payment:

$2,034.24

---------------- = $84.76/month

24 months

The amount of money James pays each month is $84.76.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, James is buying a motorcycle that costs $2,034.24, including tax.

Here, monthly payment = Total money/Number of months

= 2,034.24/24

= $84.76

Therefore, the amount of money James pays each month is $84.76.

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Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Ali's age = x

Given that, Omar is 6 years younger than Ali

So, Omar's age = [tex]\large\bold{x - 6}[/tex]

✐ Omar's age in terms of 'x' is x - 6 years.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

which type of data is best displayed in a histogram?

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

C) The daily number of movie tickets sold in January.

Answer:

Cross out no solution because there is no possible way for a math problem to have no solution if a problem were to have a infinite solution there wouldn’t be a solution if it was infinite so the answer i (0, 18)

Step-by-step explanation:

Answer:

m<ABC  = 51degrees

Step-by-step explanation:

The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;

m<B = 1/2 (arcAD - arcAC)

<ABC = 1/2(17x + 2 -(7x - 10°))

4x + 15 = 1/2(17x-7x+2+10)

2(4x+15) = 10x+12

8x + 30 = 10x+12

8x-10x = 12-30

-2x = -18

x = 18/2

x = 9

Get m<ABC

m<ABC = 4x + 15

m<ABC = 4(9) + 15

m<ABC = 36 + 15

m<ABC  = 51degrees

The measure of angle ∠ABC  = 51 degree.

Since we know that,

For a circle,

The angle at the vertex is half the difference of the angles at the intercepted arcs.

Therefore,

m∠ABD = 1/2 (arcAD - arcAC)

⇒   ∠ABC = (1/2)(17x + 2 -(7x - 10°))

⇒  4x + 15 = (1/2)(17x-7x+2+10)

⇒2(4x+15) = 10x+12

⇒ 8x + 30 = 10x+12

⇒   8x-10x = 12-30

⇒         -2x = -18

⇒             x = 18/2

⇒             x = 9

Get m∠ABC

⇒ m∠ABC = 4x + 15

⇒ m∠ABC = 4(9) + 15

⇒ m∠ABC = 36 + 15

⇒ m∠ABC  = 51 degree

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Answer:

1a) 0.1 cm = 1 mm

When converting centimeters to milimeters, multiply the length value by 10.

1b) 25000 mm = 25 m

When converting milimeters to meters, divide the length value by 1000.

1c) 7g = 0.007 kg

When converting grams to kilograms, divide the mass value by 1000.

1d) 30000 ml = 0.03 kl

When converting milimeters to kilometers, divide the volume value by 1000000.

Answer:

x = 15

Step-by-step explanation:

[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]

[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]

[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]

x = 15

Answer:

-7

Step-by-step explanation:

-2x-22=-8

-2x=-8+22

-2x=14

X=14/-2

X=-7