what is the value of 24% of 800?
Question of mathematics​

Answer:

38.68 degrees

Step-by-step explanation:

In this equation you are trying to find the degrees using the hypotenuse and opposite. So you have to use the function sin^-1(5/8). Because when using Sin it is opposote ove hypotenuse.

Answer:

1/21

Step-by-step explanation:

=> [tex]\frac{1}{7} / 3[/tex]

=> [tex]\frac{1}{7} * \frac{1}{3}[/tex]

=> [tex]\frac{1*1}{7*3}[/tex]

=> 1/21

Answer:

Option A.

Step-by-step explanation:

See attachment.

Basically, the reason why I left it at cm(3) was because that's the standard unit for volume, any length of measurement to the third power.

Answer:

I dont give you the answer right away so you will read what i write and fully understand :D

Step-by-step explanation:

We are picking 3 balls from 30 balls, so its C(30,3) because the order of picking the balls doesnt matter. We also need to pick 2 balls from 20 balls, which is C(20,2). So the answer is C(30,3) * C(20,2).

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

% mark up = (m.p - c.p)/c.p) × 100

Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

(500/1500) × 100 = 33.33%

Answer:

Ajay has 10 rupees and Ragu has 20 rupees.

Step-by-step explanation:

Let's say Ajay has a rupees, and Ragu has r rupees.

Ragu lends 5 rupees to Ajay.

r - 5 = a + 5

r = a + 10

Ajay lends 5 rupees to Ragu.

5(a - 5) = r + 5

5a - 25 = r + 5

r + 5 = 5a - 25

r = 5a - 30

5a - 30 = a + 10

4a = 40

a = 10 rupees

r = 5 * 10 - 30

r = 50 - 30

r = 20 rupees

Hope this helps!

Answer:

Ajay has 15 Rupees while Ragu has 45 Rupees

Step-by-step explanation:

I believe by " one five", you mean fifteen

Let the original amount that Ajay has be "a"

Let the original amount that Ragu has be "r"

If Ragu lends Ajay 15 rupees, Ragu will now have, (r - 15) while Ajay will have (a + 15)

Since both of them will have equal amount, r - 15 = a + 15

r = a + 30.............(1)

If Ajay lends Ragu 5 rupees, Ajay will have a - 5 while Ragu will have r + 5.

Since Ragu will now have 5 times the amount Ajay has, r + 5 = 5(a - 5)

r + 5 = 5a - 25

r = 5a - 30.............(2)

Equating equations (1) and (2):

a + 30 = 5a - 30

4a = 60

a = 15

Substitute a = 15 into equation (2)

r = 5(15) - 30

r = 75 - 30

r = 45

Ajay has 15 Rupees while Ragu has 45 Rupees

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

The quickest way to solve this is to recognize this as a 30-60-90 triangle. The smallest angle is 30 degrees, and the answer is simply cos 30º.

You can also use the pythagorean theorem to find the length of the hypotenuse, then use SOH-CAH-TOA to get the answer.

Answer:

20x-8 ...last option

Step-by-step explanation:

Answer:  The range is real numbers less than 1

[1, -∞)  

Step-by-step explanation:  The range is all the y-values.  The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.

Answer:

y < 1

(the < has a line underneath it)

Step-by-step explanation:

Answer:

[tex]2a - 3b + 4c = 1[/tex]

Step-by-step explanation:

Given

[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]

Required

Determine [tex]2a - 3b + 4c[/tex]

[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]

Open bracket

[tex]a^2 + b^2 + c^2 = 2a - 2b - 2c - 3[/tex]

Equate the equation to 0

[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0[/tex]

Express 3 as 1 + 1 + 1

[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0[/tex]

Collect like terms

[tex]a^2 - 2a + 1 + b^2 + 2b + 1 + c^2 + 2c + 1 = 0[/tex]

Group each terms

[tex](a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

Factorize (starting with the first bracket)

[tex](a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex](a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b^2 + b+b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)(b + 1)) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + c+c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c(c + 1)+1(c + 1)) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)(c + 1)) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)^2) = 0[/tex]

Express 0 as 0 + 0 + 0

[tex](a - 1)^2 + (b + 1)^2 + (c + 1)^2 = 0 + 0+ 0[/tex]

By comparison

[tex](a - 1)^2 = 0[/tex]

[tex](b + 1)^2 = 0[/tex]

[tex](c + 1)^2 = 0[/tex]

Solving for [tex](a - 1)^2 = 0[/tex]

Take square root of both sides

[tex]a - 1 = 0[/tex]

Add 1 to both sides

[tex]a - 1 + 1 = 0 + 1[/tex]

[tex]a = 1[/tex]

Solving for [tex](b + 1)^2 = 0[/tex]

Take square root of both sides

[tex]b + 1 = 0[/tex]

Subtract 1 from both sides

[tex]b + 1 - 1 = 0 - 1[/tex]

[tex]b = -1[/tex]

Solving for [tex](c + 1)^2 = 0[/tex]

Take square root of both sides

[tex]c + 1 = 0[/tex]

Subtract 1 from both sides

[tex]c + 1 - 1 = 0 - 1[/tex]

[tex]c = -1[/tex]

Substitute the values of a, b and c in [tex]2a - 3b + 4c[/tex]

[tex]2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)[/tex]

[tex]2a - 3b + 4c = 2 +3 -4[/tex]

[tex]2a - 3b + 4c = 1[/tex]

Answer:

last one

Step-by-step explanation:

3*√(3.5 - 3) -1 = 1.12......

Answer:

[tex]\boxed{-1<F(x)<2}[/tex]

Step-by-step explanation:

x is given the value of 3 1/2 or 3.5.

When x is 3, F(x) is -1.

When x is 4, F(x) is 2.

If x is 3 1/2, then the value of F(x) is between -1 and 2.

Answer:

Step-by-step explanation:

"or" means sum, that is all x≤-2 plus all x≥3

≤-2  mens all numbers less than -2 and the -2

≥3  mens all numbers greater than 3 and the 3

Answer:

(5, 11) and (2, 2)

Step-by-step explanation:

y = (x-2)² + 2

y + 4 = 3x

(x-2)² + 2 + 4 = 3x

x² - 4x + 4 + 6 = 3x

x² - 7x + 10 = 0

(x - 5)(x - 2) = 0

x - 5 = 0, x = 5

x - 2 = 0, x = 2

y = (5-2)² + 2 = 11

(5, 11)

y = (2-2)² + 2 = 2

(2, 2)

Answer:

[tex]\large \boxed{\sf \bf \ \text{ The solutions are } x=2, y=2 \text{ and } x=5, y=11.} \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

We want to solve this system of equations.

[tex]\begin{cases}&y=(x-2)^2+2\\&y+4=3x\end{cases}[/tex]

This is equivalent to (subtract 4 from the second equation).

[tex]\begin{cases}&y=(x-2)^2+2\\&y=3x-4\end{cases}[/tex]

Then, we can write y = y, meaning:

[tex](x-2)^2+2=3x-4\\\\\text{*** We develop the left side. ***}\\\\x^2-4x+4+2=3x-4 \\\\\text{*** We simplify. *** }\\\\x^2-4x+6=3x-4\\\\\text{*** We subtract 3x-4 from both sides. ***}\\\\x^2-4x+6-3x+4=0\\\\\text{*** We simplify. *** }\\\\x^2-7x+10=0[/tex]

[tex]\text{*** The sum of the zeroes is 7 and the product 10 = 5 x 2 ***}\\\\\text{*** We can factorise. ***}\\\\x^2-5x-2x+10=x(x-5)-2(x-5)=(x-2)(x-5)=0\\\\x-2 = 0 \ \ or \ \ x-5 = 0\\\\x= 2 \ \ or \ \ x=5[/tex]

For x = 2, y =0+2=2 (from the first equation) and for x = 5 y=3*5-4=15-4=11 (from the second equation)

So the solutions are (2,2) and (5,11)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

The range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

According to the given data

The mean height for adult males in the U.S. is about 70 inches

The standard deviation of heights is about 3 inches.

Considering the data to be normally distributed

According  to the empirical rule for normal distribution we can write that

95.45% of the data lies with in the range of

[tex]\rm \mu - 2\sigma \; to \; \mu +2\sigma\\\\where \\\mu = Mean\\\sigma = Standard \; deviation[/tex]

We have to to determine that  using the Empirical Rule 95% of adult males should fall into what height range

According to the given data

[tex]\rm \mu = 70\\\rm \sigma = 3 \\[/tex]

[tex]\rm Lower \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 - 2(3) = 64[/tex]

[tex]\rm Upper \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 +2(3) = 76[/tex]

So we can conclude that the range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

For more information please refer to the link given below

https://brainly.com/question/25394084

Answer:

Step-by-step explanation:

From the circle it can be seen that the angle ∠EQD lies on the circumference of the circle. A circumference of a circle is known to be any point on the circle. Also we have central angle ∠ECD of 104°

In circle geometry, there is a theorem that states; Angle at the center of a circle is twice the angle at the circumference. Applying this theorem to the given question we can say, ∠ECD = 2∠EQD

Substituting the given value;

104° = 2∠EQD

Dividing both sides by 2

104/2 = 2∠EQD/2

∠EQD = 104/2

∠EQD = 72°

Answer: The answer is 52.

Step-by-step explanation:

Answer:

10 km/hr

Step-by-step explanation:

The aircraft carrier and the container ship both took 30 hours to travel their respective distances. If you divide both numbers by 30, you find that their differences is 5. We can tell that the aircraft carrier traveled 450 ÷ 30 = 15 km/hr and the container ship traveled at a speed of 300 ÷ 30 = 10 km/hr. The aircraft carrier traveled 5 km/hr faster. So, we can tell the container ship traveled at 10 km/hr.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

Answer:

Depth of the milk = 4 cm

Step-by-step explanation:

In the figure attached,

Milk carton is in the shape of a cuboid having length = 8 cm, Width = 5 cm and Height = 15 cm

Depth of the milk in the carton = 12 cm

Milk inside the carton will have the same shape of cuboid, having same length and width but a different height.

Volume of the milk = volume of the cuboid shape of the milk

                                = Length × width × height

                                = 8 × 5 × 12

                                = 480 cm³

Now the carton is turned with its base on the shaded region.

By changing the base, dimensions of the milk inside the carton will change but the volume of the milk will remain the same.

New dimensions of the milk inside the carton will be,

Length = 15 cm

Width = 8 cm

Height = d cm (unknown side)

By using the formula of volume again,

V = l × b × h

480 = 15 × 8 × d

480 = 120d

d = [tex]\frac{480}{120}[/tex]

d = 4 cm

Therefore, depth of the milk in the carton will be 4 cm.

Answer:

a, c. d

Step-by-step explanation:

Answer:

a c d

Step-by-step explanation:

Answer: [tex]1\dfrac{5}{9}\text{ minutes}[/tex]

Step-by-step explanation:

Complete question is provided in the attachment below.

Given: Jacob and Issac decided to run to the basketball court

Distance between basketball court and school = [tex]5\dfrac{1}{4}[/tex] miles

[tex]=\dfrac{21}{4}[/tex] miles

Speed = [tex]3\dfrac{3}{8}[/tex] miles per hour

[tex]=\dfrac{27}{8}[/tex] miles per hour

Since, time = (distance) ÷ ( speed)

Now, the time taken by boys to arrive at the basketball court = [tex]\dfrac{21}{4}\div\dfrac{27}{8}[/tex] hours

[tex]=\dfrac{21}{4}\times\dfrac{8}{27}\\\\=\dfrac{7\times2}{9}=\dfrac{14}{9}\\\\=1\dfrac{5}{9}\text{ minutes}[/tex]

Hence, the required length of time = [tex]1\dfrac{5}{9}\text{ minutes}[/tex]

Answer:  Given.

Step-by-step explanation:  The last sentence of the directions, Begin. . .

ends with:  Construct line RS a bisector of ∠PQR

Answer:

(C) 1809 in.2

Step-by-step explanation:

Took the test on edg :3

Answer:

A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population.

Step-by-step explanation:

A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.

Answer:

49π

Step-by-step explanation:

The formula for the area of a circle is,

[tex]\pi r^2[/tex]

If the radius is 7 inches we need to plug that in for r in the formula.

π(7)^2

7*7 = 49

Thus,

the area in terms of pi is 49π.

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]r = 7\\A = ?\\A =\pi r^2\\A =\pi7^2\\A = 49\pi[/tex]

Hey Mate!!

Your answer will be below.

Step-by-step explanation:

The answer is C. Because, There's vertical asymptotes at 1 and -1. Vertical asymptotes are present where the x on the denominator is equal to 0. So, Both the values are 1 and -1 set are equal to the 0 in the denominator, So, They're both horizontal asymptotes. Good Luck!

Answer:

Square A is 4 times greater than Square B

Step-by-step explanation:

Square A is 12 feet x 12 feet = 144

Square B is 6 feet x 6 feet = 36

144 ÷ 36 = 4

Answer:

32 degrees (rounded to nearest angle)

Step-by-step explanation:

Using trigonometric ratios:

Please refer to the picture of my explanation below.

tan^-1 means inverse, so on calculator remember to use the inverse function, by shifting.

Answer:

Which of the following numbers is a composite number that is divisible by 3? A. 49 B. 103 C. 163 D. 261 Answer: B) 245

Step-by-step explanation:

Answer:

[tex]3x^2+2x+1[/tex]

Step-by-step explanation:

Sum means to add and second power means that the exponent is "2". So, the expression is:

=> [tex]3x^2+2x+1[/tex]

It cannot be simplified further.

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5