The ratio of students with blond
hair to students with brown or
black hair is 1:2. If there are
212 students with brown or black
hair, how many students have
blond hair?

Answer:

216 in. 3

Step-by-step explanation:

math ...

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

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Answer:

It just says overline

Step-by-step explanation:

Answer:

10/9

Step-by-step explanation:

Answer:

13 1/8 km

Step-by-step explanation:

Given the man walks 3 3/4 km in 1 hour,

=> Speed of the man = 15/4 kmph

Distance walked by the man in 7/2 hours (3 1/2 hours) is,

= 15/4 * 7/2 = 105/8 km = 13 1/8 km

The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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Step-by-step explanation:

1. 2(d+9)

2(8+9)

2(17)

=34

2. d÷4

8÷4

=2

3. ef÷4

(3×4)÷4

12÷4

=3

4. 4f+d

(4×4)+8

16+8 =24

5. (5d-25)÷5

((5×8)-25)÷5

(40-25)÷5

15÷5 = 3

6. d2+7

(8×8) +7

64+7

=71

Expressions 2(d+9)=34, d/4=2, ef/4=3, 4f+d=24, 5d-25/5=-1,  d²+7=23, d-4/2=0, 10(e+7)=100 and 2g/2=-1

An expression is combination of variables, numbers and operators.

Given,

d=8,

e = 3,

f=4, and g=-1

By replacing the values in expressions we need to solve.

1. 2(d+9)

Replace d as 8

2(8+9)=2(17)=34

2. d/4=2

8/4=2

3. ef/4=3

3×4/4=3

4. 4f+d=24

4(4)+8=16+8=24

5. 5d-25/5=-1

5(4)-25/5

-5/5=-1

6. d²+7=23

16+7=23

7. d-4/2=0

8.10(e+7)=100

10(3+7)=100

9. 2g/2=-1

2(-1)/2=-1

Hence, expressions 2(d+9)=34, d/4=2, ef/4=3, 4f+d=24, 5d-25/5=-1,  d²+7=23, d-4/2=0, .10(e+7)=100 and 2g/2=-1

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Answer:

453.73cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14× 8.5²× 6/3

Answer:

22.5

Step-by-step explanation:

How do you solve this question?

In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.

Hope this helps,

Philip

Brainliest always appreciated! <3

Answer:

B

Step-by-step explanation:

Answer:

(20+x)+x=40

20+2x=40

2x=40-20

2x=20

x=20/2

x=10

Step-by-step explanation:

let the no. of games be x

and the no. of games won be 20+x

21. Point A is (1,5) and represents that the dog walker made $5 for one dog walked.

22. Point B is (5,25) and represents that after walking 5 dogs the dog walker made $25.

23. The dependant is the amount earned(y) and the independent is the number of dogs walked (x).

Answer:

521.1 mm²

Step-by-step explanation:

The shape is made up of a semicircle and a trapezoid.

Area of the shape = area of the semicircle + area of the trapezoid

= ½(πr²) + ½(a + b)*h

Where,

r = radius of the semicircle = ½(20) = 10 mm

a = 20 mm

b = 32 mm

h = height of trapezoid = 14 mm

Plug in the values

Area of the shape = ½(π*10²) + ½(20 + 32)*14

= 157.1 + 364

= 521.1 mm²

Answer:

3.25x50=21

Step-by-step explanation:

Sample size falls within the range from the mean Standard deviation (3.5±1.75).

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, Suppose that the mean of your 50 rolls is x = 3.25.

Therefore,  Sample size falls within the range from the mean Standard deviation (3.5±1.75).

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Complete question:

Answer:

24

Step-by-step explanation:

its just the opposite

Answer:

The answer is -7 the answer is-7

Answer:

-7

Step-by-step explanation:

(-10)+3

-10+3=-7

-4-6=-10

-10+7=-3

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer Obtuse Angle is greater than 90° but less than 180°

hoped this helped let me know if it did

Answer:

obtuse angle

Step-by-step explanation:

angle measuring between 90 and 180 is called obtuse angle

if this answe helps you plz give me brainiest

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

Step-by-step explanation:

361 is the answer.

hope it helps

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

The key fact that makes elliptic and hyperbolic geometries different from Euclidean geometry is the consideration of curvature in spaces.

In this case, Euclidean geometry considers only spaces with no curvatures, whereas elliptic geometry considers spaces with a constant negative curvature and hyperbolic geometry makes with spaces with a constant positive curvature.

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

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Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

Answer:

  (b)  DF = 3.04

Step-by-step explanation:

You want the measure of DF in ∆DEF, which is similar to ∆ABC, given AB=11, AC=7.6, DE=4.4.

Corresponding sides of similar triangles are proportional. This means ...

  DF/DE = AC/AB

  DF/4.4 = 7.6/11

  DF = 4.4×7.6/11 = 3.04

The measurement of DF is 3.04, choice B.

<95141404393>

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

Step-by-step explanation:

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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