A milk tank is in the form of cylinder whose radius is 1.5 m and length is
7m. Find the quantity of milk in litres that can be stored in the tank.

Answer:

cos 60° isn't equivalent

Step-by-step explanation:

cos 60°=1/2

The expression that is not equivalent to cos 150° is option C, cos 60 degrees, because it lies in the first quadrant where cosine is positive, unlike cos 150° which is negative.

The expression that is not equivalent to cos 150° is C) cos 60 degrees. The cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants. Since 150° lies in the second quadrant, cos 150° is negative. Now, if we look at the provided options, sin 240° is essentially -sin(240° - 180°), which equals -sin 60°; this is the same as cos(180° - 240°), which equals cos(330°) or cos(−30°), and therefore, equivalent to cos 150°.

Similarly, cos 210° is also in the third quadrant where cosine is negative; this is the same as -cos(210° - 180°), which equals -cos 30° which also equals -sin 60°. Therefore, this is equivalent to cos 150° as well. In contrast, cos 60° lies in the first quadrant where cosine is positive, which does not match the sign of cos 150°. Lastly, -sin 60° is simply the negative of sin 60° and since sin 60° = cos 30°, it matches the value of cos 150° in terms of magnitude but is opposite in sign, thus it is equivalent to cos 150°.

Therefore, option C, cos 60 degrees, is not equivalent to cos 150°.

Answer:

28/55

Step-by-step explanation:

The probability of taking a red bead first and a white bead second is:

P(red, white) = (7/11) (4/10)

P(red, white) = 14/55

The probability of taking a white bead first and a red bead second is:

P(white, red) = (4/11) (7/10)

P(white, red) = 14/55

So the probability that one bead of each color is taken is:

P = P(red, white) or P(white, red)

P = 14/55 + 14/55

P = 28/55

Answer:

56/110=14/55

Step-by-step explanation:

you get 4 marks!

put me as brainiest please!

Answer:

Yes because 20 percent of anything, including 0, multiplied by 5 is 100 percent

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

it does work because 5x4= 20 and if you divide 20% by 5 you get 4. You can also do 20% Divided by 2 you get 100.

The statement is true.

Answer: Option 1.

Explanation:

An horizontal beam is constantly flat and has a consistent cross-segment. Notwithstanding normal shaft parameters, bar has the accompanying properties: Direction. A flat shaft might be situated either along the worldwide X-hub or worldwide Y-pivot.

A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.

Answer:

B.

Step-by-step explanation:

The sine is opposite side / hypotenuse so

sin P  = ST / PS and QR / PQ.

Answer:

Option 2

Step-by-step explanation:

SinP=ST/PS

Or

SinP=QR/PQ

Answer:

no solution

Step-by-step explanation:

36-7x=-7(x-5)

first what we have to do is do the multiplications

36 - 7x = -7x + 35

we add 7x from both sides

36 - 7x + 7x = - 7x + 7x + 35

36 = 35

we subtract 36 from both sides

36 - 36 = 35 - 36

0 = -1

This means that the system has no solution

if we look at the equation at the beginning we can realize since we have the same term on both sides "-7x" and a term without x on each side, this means that we can never find a value of x that meets the conditions

Answer:

Ans = 15/32

Step-by-step explanation:

-3/4 / (-8/5)

= -3/4 ÷ (-8/5)

= -3/4 * -5/8

= 15/32 (- * - = +)

Answer:

 The standard deviation estimate by the Range Rule of Thumb = 18.3

Step-by-step explanation:

i) maximum = 96

ii) minimum = 23

iii) standard deviation [tex]\approx[/tex]  [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]

   The standard deviation estimate by the Range Rule of Thumb = 18.3

Step-by-step explanation:This is a simple question.

The food that lasts for 48 men for 16 days is 48 × 16 = 768 units.

Now because of 16 additional members i.e. a total of 64 men the food will last for:

768÷64 = 12 days. Answer.

Final answer:

The ration that would have lasted for 16 days for 48 men will now last for 12 days when an additional 16 men are added to the group, making it a total of 64 men.

Explanation:

The question concerns a problem in ration proportion related to the consumption of food by a group of men. Initially, 48 men have enough rations for 16 days. If 16 more men join this group, the total number of men becomes 48 + 16 = 64 men. We need to calculate how long the rations will last for the increased group.

We can consider this as a problem of inverse proportion where more men would consume the same amount of food in lesser time. The original group of 48 men could last 16 days, so we can set up the following proportion: 48 men × 16 days = 64 men × X days. Solving for X gives us X = (48 men × 16 days) / 64 men, which simplifies to X = 12 days. Therefore, the food would last for 12 days for 64 men.

Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

[tex]\frac{1}{4}\ in : 1\ ft[/tex]

using proportion find out the width of the great room on her plan

[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]

Answer:

5 inches

Step-by-step explanation:

Hope this helped!!

[tex]\boxed{y=-1}[/tex]

In order to solve this problem, let's remember the point-slope form of the equation of a line:

[tex]y-y_{1}=m(x-x_{1}) \\ \\ m:slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line[/tex]

We know two points:

[tex](x_{1},y_{1})=(-4, -1) \\ \\ (x_{2},y_{2})=(6, -1)[/tex]

So:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-1-(-1)}{6-(-4)} \\ \\ m=0[/tex]

So this is a constant line (slope equals zero). Therefore, every point has a y-coordinate [tex]y=-1[/tex]. In other words, the equation is:

[tex]\boxed{y=-1}[/tex]

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Answer:

y = (-1/2)x

Step-by-step explanation:

The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).

So all that's left to calculate is the offset b of a line

y = -1/2 x + b  

such that it passes through (4,-2). Filling in that point gives:

-2 = -1/2*4 + b

so b = 0!

y = -1/2x is the answer

Line perpendicular to  y = 2x - 5 is  y = (-1/2)x.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know perpendicular lines have slopes that are negative reciprocal of each other.

The given line y = 2x - 5, has a slope of 2.

So, the given line will have a slope of (-1/2) passing through point (4,-2).

∴ - 2 = (-1/2)(4) + b.

- 2 = - 2 + b.

b = 0.

∴ y = (-1/2)x is our required line.

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Answer:

it could be a isosceles triangle.

Step-by-step explanation:

A right triangle can also be an isosceles triangle.

Final answer:

A right triangle, which always has a 90-degree angle, can be either Scalene if all sides are different lengths, or Isosceles if two sides are equal. The classification depends on the lengths of the sides. Additionally, right triangles are fundamental to the application of the Pythagorean theorem.

Explanation:

A right triangle is a type of triangle that has one angle measuring exactly 90 degrees. Despite always having this right angle, right triangles can vary in the lengths of their other sides and the measures of their other angles. So, a right triangle can also be classified based on its side lengths:

Therefore, the type of right triangle depends on the specific side lengths and can be either Scalene or Isosceles. The understanding of right triangles also extends to concepts such as the Pythagorean theorem, which relates the lengths of the sides of a right triangle, stating that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Answer: (16+6)2=y

Step-by-step explanation: Hailey is six years younger than half her mother age, and she is 16. You add six to 16, and get 22. Multiply that by 2 and get 44.

Answer:

41

Step-by-step explanation:

6 pears ×6 bags +5 leftovers = You've started with 41 pears.

Answer:

180

Step-by-step explanation:

what you do is you want to do is 6x6=36 so you got your first answer then what you want to do next is 36x5=180 so 180 is your answer

Answer:

4.5

Step-by-step explanation:

The equation above is such that we find the value of p. Therefore, it is calculated thus:

0.5p - 3.45 = -1.2

Add 3.45 to both sides of the equation

0.5p - 3.45 + 3.45 = -1.2 + 3.45

0.5p = 2.25

Divide both sides by 0.5

0.5p/ 0.5 = 2.25/0.5

p = 4.5

Answer: The answer is 4.5

Step-by-step explanation:

0.5p - 3.45 = -1.2

So basically, you take everything on the left of the equal sign (0.5p-3.45) then since the sign is telling you to subtract, you use the inverse operation, so you would add 0.5 to the 3.45 and to the -1.2. So when you add the 0.5 to the 3.45, it cancels out, and when you add it to the -1.2, you should get 2.25. Then now that your done adding, your expression should be: 0.5p = 2.25. Then, now that you have 0.5p = 2.25, and there is no sign, multiplication is expected, but since were using the inverse operation, were dividing. So, 0.5p divided by 0.5 cancels out, and then you divide the 2.25 by 0.5 and you should get 4.5 after dividing. So, your final answer should be p = 4.5.

Hope this helps!!  

Answer: 5 is the radius because it is half of 10 in the circle

Step-by-step explanation:

Answer:

Circumference is 31.4.

Area is 78.4^2.

Step-by-step explanation:

Circumference = pi times diameter.

3.14 times 10 is 31.4.

Area = 1/4 pi diameter squared.

10^2 = 100

100 times 3.14 = 314

314 times 1/4 is 78.5.

I hope this helps you!

Answer:

The correct option is b.) $2.28

Step-by-step explanation:

i) the gas tank is of 15 gallons

ii) there are three gallons left in the gas tank

iii) therefore the tank has to be filled with 15 - 3 = 12 gallons

iv) lower grade of gasoline costs $2.96 per gallon

v) the upper grade of gasoline costs $3.15 per gallon

vi) the cost of filling the tank with the lower grade gasoline

   = 12 [tex]\times[/tex] 2.96 = $35.52.

vii) the cost of filling the tank with the lower grade gasoline

    = 12 [tex]\times[/tex] 3.15 = $37.80

viii) therefore  the difference in the cost of filling your tank between the two grades

  = $37.80 - $35.52 = $2.28

Therefore the correct option is b.) $2.28

Final answer:

The difference in the cost of filling the 15-gallon gas tank between the two grades of gasoline is $2.28.

Explanation:

Firstly, let's calculate how many gallons are needed to fill the car's tank completely, since it currently has 3 gallons left in a 15-gallon tank. This means the car requires 15 - 3 = 12 gallons of gasoline to be filled up.

Next, we calculate the cost to fill up the car with the lower grade gasoline that costs $2.96 per gallon. The cost for 12 gallons would be 12 x $2.96 = $35.52.

Then, we calculate the cost to fill up the car with the premium gasoline that costs $3.15 per gallon. The cost for 12 gallons would be 12 x $3.15 = $37.80.

Finally, to find the difference in cost between the two grades of gasoline, we subtract the lower cost from the higher cost: $37.80 - $35.52 = $2.28. Hence, the difference in cost is $2.28, so the correct answer is option (b).

Answer:

The answer is 70 if it's to whole number but if it's just rounding to the tenth spot it's 69.6

Step-by-step explanation:

It's 70 because if the tenth spot(the number after the decimal) is 5 or higher you add one on the one spot so that's why it's 70

Estimates are typically whole numbers.

To estimate an answer, you would take whatever numbers you are trying to add/subtract/multiply/divide ect. and round them to the nearest whole number then complete said action with them.  

Example: 3.99 + 33.85 + 31.74

3.99 is closest to 4

33.85 is closest to 34

and 31.74 is closest to 32

Then, we would add up all the numbers: 4 + 34 + 32 = 70

70 is very close to 69.58, therefore 70 is a good estimate.

Answer:

I believe the answer is angle A.

Step-by-step explanation:

I think it is angle A because INCLUDED angle between WA AS and only angle a is included in both. Hope this helps.

Answer:

Step-by-step explanation:

Answer:

x =-2 or 0

Step-by-step explanation:

Factoring  7x2+3x-34

The first term is,  7x2  its coefficient is  7 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -34

Step-1 : Multiply the coefficient of the first term by the constant   7 • -34 = -238

Step-2 : Find two factors of  -238  whose sum equals the coefficient of the middle term, which is   3 .

     -238    +    1    =    -237

     -119    +    2    =    -117

     -34    +    7    =    -27

     -17    +    14    =    -3

     -14    +    17    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  17

                    7x2 - 14x + 17x - 34

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   17 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (7x+17)  •  (x-2)

            Which is the desired factorization

 (x - 2) • (7x + 17)  = 0

Answer:

x = -4

x = 6

Step-by-step explanation:

x² - 2x -24 = 0

x² - 6x + 4x - 24 = 0

x ( x - 6 ) + 4 ( x - 6) = 0

x + 4 and x- 6

so either of them is zero so values if x are

X = -4

X = 6

The Answer is (x+4) (x-6). I just took the test

Answer:

Answer is B

surface area for a cylinder : 2 (pi) r h + 2 (pi) r^2

r= 4

h= 12

2 (pi) x 4 x 12 + 2 (pi) × 4^2

= 402 .1

Answer:

it is B

Step-by-step explanation:

Answer:

cube

Step-by-step explanation:

Answer:

x=0.5

Step-by-step explanation:

6x=4-2x

8x=4

x=1/2

Answer:

0.5

Step-by-step explanation:

You solve it as a 2-step equation.

0.6x=0.4-0.2x

Isolate the variables ((add 0.2x to both sides since that it how you get rid of it at the right))

Your equation should now be

0.8x=0.4

Divide both sides by 0.8 in order to get x by itself

x=0.5

As you missed to add the diagram. After a little research, I was able to find the diagram, and hence, I am answering based on that diagram which anyways would clear your concepts. Diagram is also attached below.

Answer:

q ∧ p represents the region B.

Step-by-step explanation:

From the attached diagram, it is clear that

Here is the truth table

T           T             T  

T            F            F

F            T            F

F            F            F

Therefore, q ∧ p represents the region B.

Keywords: truth table, AND operation

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Answer:

q /\ p

Step-by-step explanation:

just took the test

Answer:

x is divided by 3

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

20

x   2

0x2=0

2x2=4

you have to take the bottom 2 in the ones place

then you have to multiply that by 0

last you have to multiply both 2's

and you have your answer

Answer:

answer is 40z

Step-by-step explanation:

multiply the numbers and keep the variable the same