what is the volume of this composite solid?
A. 156 cubic meters
B. 86 cubic meters
C. 136 cubic meters
D. 84 cubic meters

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

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Answer:

Step-by-step explanation:

1

Answer:

$86.50 - $6.50 = $80.00

$80/2  = $40

$40 + $6.50 = $46.50

Step-by-step explanation:

Answer:

her 9PM and a lot are a little too short

Answer:

x=29

Step-by-step explanation:

Since this is a straight line, it has to be 180 degrees in total.

Solve x+35+4x=180.

Add the similar numbers. (5x+35=180)

Subtract 35 to 180 (145)

Solve for this by divding 145 by 5: 5x=145

145/5 = 29

So, x = 29.

(To check your answer, subsitute it in. 4x29 = 116. 29+35=64. Add both numbers together, making it equal to 180.)  

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Answer:

72 degrees is the larger angle

Step-by-step explanation:

SImple ratio problem

So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.

4*18: 1*18

72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.

Answer:

it is triangle probality acute or scalene triangle

Answer: 140

Step-by-step explanation:

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

#2

Surface area is the sum of 1 square and 4 triangles:

Answer: do u want my love

Step-by-step explanation:

Answer: 78

Step-by-step explanation:

Given

Mrs. Lee has [tex]132[/tex] students

On a particular day, one-fourth of her students are sick i.e.

[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]

and 24 were on a field trip.

The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.

[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]

Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

Answer:

In short, they are all quadrilaterals.

Step-by-step explanation:

Rectangle:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

Square:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

- Diagonals within the square are perpendicular

Parallelogram:

- Opposite sides are equal and parallel

- Opposite angles are equal

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Rhombus:

- Opposite angles are equal

- All sides are equal

- Opposite sides are parallel

- Diagonals within the square are perpendicular

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Trapedzoid:

- There is only one pair of parallel lines

Kite:

- There are two pairs of equal signs

- There are two equal angles

- You can look at it like two equal triangles glued together

Really hope this helped you!

Answer:I don't know this one

Step-by-step explanation:

Answer:

85/12. figure out which one the answer is now, just convert 85/12 to a mix number

Step-by-step explanation:

5/4 + 35/6 = 85/12.

Answer:

The correct answer is D

Step-by-step explanation:

Answer:

Y = 1

Step-by-step explanation:

Proportional

Answer:

y=1

Step-by-step explanation:

Because they are proportional, the two points have to be equal if they were like a fraction. This means (15,3) would be 15/3 which is equal to 5. The other point is (5,?), so that means that the point will have to be 1. This is because then the point will be equal to 5.

Hope this helps

Answer:

C. It is 3 times as much as 9

Step-by-step explanation:

3 * 9 = 27

Using elimination method;

A. It is 3 is more than 9

3 + 9 ≠ 27

This is incorrect.

B. It is 3 is less than 9

3 - 9 ≠ 27

This is incorrect.

C. It is 3 times as much as 9

3 * 9 = 27

This is the correct option.

D. It is 3 times smaller than 9

9 / 3 ≠ 27

We have a parallelogram, and we want to identify two segments that are parallel. then LO is parallel to MN.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Here We can see that ON is parallel to LM and LO is parallel to MN

Because this is a parallelogram  as we know this because there is a 90° angle at N, the opposite sides are parallel.

So from this, we can conclude that sides ON and LM are opposite, then ON is parallel to LM

With the same reasoning, LO is parallel to MN.

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Answer:

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

5000.25000.2

Divide 500500 by 0.20.2.

2500

A) Answer:

4 (4x - 1)

B) Answer:

-5x ( 2 + x )

C) Answer:

6 (5y - 4x)

hope it helped.

Step-by-step explanation:

That is so because 1/3 is *not exactly equal to* 0.333333

0.333333 is an approximation of 1/3 which is correct to 6 decimal places.

So 0.333333 x 3 = 0.999999 which is approximately equal to 1.

If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.

1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.

Its usually represented by a bar or dot on top of the recurring part

Ex. 1/3 = 0.3bar

(Sorry I can't get the bar on 3 by typing from keyboard)

But let's just say 0.3 bar is 0.333333…and so on to infinity.

When you multiply 0.3bar x 3 you get 0.9bar

= 0.999999….and so on to infinity.

These decimal point figures just a very great approximations of the fraction 1/3.

Hope this helps. Feel free to reply if you still have doubts.

Answer:

the burgers be 3 and fries be 2

Step-by-step explanation:

The computation is shown below:

Let us assume burgers be x

And, the fries be y

Now according to the questiojn

1.25x + 0.50y = $4.75

1.50x + 0.99y = $6.48

Now multiply by 1.2 in the first equation

1.50x + 0.6y = $5.70

1.50x + 0.99y = $6.48

-0.39y = -0.78

y = 2

Now put the value of y in any of the above equation

1.25x + 0.50(2) = $4.75

x = 3

Hence, the burgers be 3 and fries be 2

Answer:

f(x)=(2.5)x

Step-by-step explanation:

x equals the number of years after 2010, and every year after 2010 their total corn harvest increases by 2.5%, so you would have 2.5 multiplied by however many years after 2010 it is

The exponential function f(x) that models the number of bushels of corn produced x years after 2010 is f(x) = 175000(1.025)^x

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

We can use compound interest formula whenever there is compounding (increment or decrement) per unit time.

Here, the initial amount of  production farm was doing in 2010 is 175000 bushels of corn.

This value increases by 2.5% per year.

We need the final number of bushels of corn that will be produce x years after 2010.

So, here, we can take P = 175000, R = 2.5, and T = x

Then, we get:

[tex]f(x) = A = 175000\left(1 + \dfrac{2.5}{100}\right)^x\\\\f(x) = 175000(1.025)^x[/tex]

Thus, the exponential function f(x) that models the number of bushels of corn produced x years after 2010 is [tex]f(x) = 175000(1.025)^x[/tex]

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Answer:

21 and 35

Step-by-step explanation:

Prime factorization of 21 is 3*7

Prime factorization of 35 is 5*7

Answer:

21 and 35

Step-by-step explanation: