A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs can be formed the group?

Answer:

In the triangle ABC,  A is the right angle;  the side "a", opposite to the angle A, is the hypotenuse and side "b" is the leg.

√ (√2)²-1² = √2-1= √1= 1

according to the Pythagorean theorem.

It means that you have the right angled triangle with congruent legs; thus the triangle is isosceles.

Hence, the angles at the base (at the hypotenuse) are congruent and each is equal to  180°-90°/2 = 45°

Answer.  The measure of the angle B is 45°.

Step-by-step explanation:

The required value of the angle B is obtained as 45°.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given problem can be shown in the form of diagram as below,

The measure of given sides and angle of the triangle are as below,

∠A = 90°, a = BC = √2 and b = AC = 1.

Use the trigonometric ratio to obtain,

Sin∠B = BC/AC

⇒ Sin∠B = 1/√2

⇒ ∠B = 45°

Hence, the measure of angle B is given as 45°.

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Answer:

The volume of a cylinder:

[tex]V \approx 150.796[/tex] [tex]ft^3[/tex]

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

[tex]V = \pi r^2h[/tex]

-Use the given height and radius for the formula:

[tex]V = \pi 4^2 3[/tex]

-Then, solve the formula:

[tex]V = \pi \times 4^2 \times 3[/tex]

[tex]V = \pi \times 16 \times 3[/tex]

[tex]V = \pi \times 48[/tex]

[tex]V = 48\pi \approx 150.796[/tex]

So, the volume of a cylinder is approximately [tex]150.796[/tex] [tex]ft^3[/tex] .

Answer:

D) The answer cannot be determined

Answer:

D. the answer cannot be determined​

Answer: B

Step-by-step explanation:

One game costs $4.50

Answer:

it is B

Step-by-step explanation:

Answer:

List all of the outcomes first than do what you need to do

Step-by-step explanation:

dog went to the park and had fun

Answer:

Step-by-step explanation:2500 amonth He pays $400 per month on a car which means his budget equals 16percent

Answer:

( 300; 353) is on the line y=1.2x−7

Step-by-step explanation:

y=1.2x−7

Substitute the point into the equation and see if it is true

353=1.2(300)−7

353 =360-7

353 = 353

This point is on the line

Answer:

yes

Step-by-step explanation:

Answer:

1/258 *(t^28)

= t^28 / 4^4

= t^28 4^-4

= (t^-7 * 4)^-4

= (4t^-7)^-4

The simplified form of an expression   [tex]\frac{1}{256} * t^{28}[/tex] will be [tex](4 t^{-7})^{-4}[/tex] which is given in option number [tex](D)[/tex] i.e. ([tex]4\ t[/tex] Superscript negative [tex]7[/tex] Baseline) Superscript negative [tex]4[/tex] .

Simplified form a rational expression is considered simplified if the numerator and denominator have no factors in common.

We have,

 [tex]\frac{1}{256} * t^{28}[/tex]

Now to simplify it,

Convert [tex]256[/tex] into a exponent form with a base.

i.e.

[tex]\frac{1}{4^4} * t^{28}[/tex]

Now,

Using the exponent rule;

[tex]\frac{1}{a^n}= a^{(-n)}[/tex]

So,

[tex]4^{-4}\ *\ t^{28}[/tex]

Now, simplify it more by taking common power of [tex]4[/tex] and [tex]t[/tex] ,

[tex](4\ *\ t^{-7})^{-4}[/tex]

⇒ [tex](4 t^{-7})^{-4}[/tex]

So, this is the simplified form of given expression which is given in option number [tex](D).[/tex]

Hence, we can say that the simplified form of an expression   [tex]\frac{1}{256} * t^{28}[/tex] will be [tex](4 t^{-7})^{-4}[/tex] which is given in option number [tex](D)[/tex] i.e. ([tex]4\ t[/tex] Superscript negative [tex]7[/tex] Baseline) Superscript negative [tex]4[/tex] .

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Answer:

Next year Aimee will be 13 years old

Step-by-step explanation:

Let's call Aimee's age A, and Jamie's age J.

From the information given, we have that:

A = (1/3) * J

A + 12 = (1/2) * (J + 12)

Using the value of A from the first equation in the second one, we have:

J/3 + 12 = J/2 + 6

J/2 - J/3 = 6

J/6 = 6

J = 36

Now we can find A:

A = (1/3) * 36 = 12

So next year Aimee will be 13 years old

Answer:

Aimee will be 13 years old next year/

Step-by-step explanation:

A stands for Aimee, and J stands for Jamie.

A = (1/3) * J

A + 12 = (1/2) * (J + 12)

Using the value of A from the first equation in the second one, we have:

J/3 + 12 = J/2 + 6

J/2 - J/3 = 6

J/6 = 6

J = 36

Now we can find A:

A = (1/3) * 36 = 12

In conclusion, Aimee will be 13 years old next year.

Answer:

898.75 is your answer.

Step-by-step explanation:

Please mark brainliest and 5 stars!

Answer:

1176π m³

Step-by-step explanation:

The formula for the volume of a cylinder is:

V = πr²h

Let's substitute the values given into this equation:

V = πr²h

V = (π)(14²)(6)

Solve:

V = (π)(14²)(6)

V = (π)(196)(6)

V = 1,176π

Therefore, the volume of the cylinder is 1176π cubic meters.

Answer:

1176

Step-by-step explanation:

r (radius) = 14 m

h (height) = 6 m

v (volume) = ?

Formula: V=πr2h

We are looking for the volume of the cylinder. We know that the Radius is 14 and the height is 6.

So we need to

1: Radius * 14 * 6

2: Radius * 196* 6

Answer: 1176

Hope this helps.

Answer:

12

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

do the math

Answer:

If the bottom is not counted, then the answer is 140m2.

If the bottom is counted, then the answer is 240m2

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope this answer can help you. Have a nice day!

Answer: A

Step-by-step explanation: A is the statistical question since it complies many test scores together

Answer:

B. 75 units3

Step-by-step explanation:

it is right

Answer:

The formula would be:

27500 x (1 - 14/100)^year = 4000

=> (86/100)^year = 4000/27500

=> 0.86^year = 0.145

=> year = log(0.145)/log(0.86) = 12.8

Hope this helps!

:)

Answer:

13 years

Step-by-step explanation:

4000 = 27500 × (1 - 14/100)^t

4000 = 27500 × 0.86^t

0.86^t = 8/55

t ln(0.86) = ln(8/55)

t = 12.78248711

Answer:

55 degrees

Step-by-step explanation:

Answer:20 degrees

Step-by-step explanation:because all around is 360 you take the 35 times 2 to get 70 and the 125 times 2 to get 250. Add 70 and 250 to get 320. Then subtract 320 from 360 to get 40. 40 is for both missing answers so divide the 40 by 2 to get 20

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Quality is something that doesn't really come in numbers when described.

Answer:

You should first find the side length of each square, and then use the Pythagorean theorem to find x.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]n-3n=14-4n\\\\-2n=14-4n\\ \\2n=14\\n=7[/tex]

Answer:

Total cost = $13.96

Step-by-step explanation:

The total to be paid for the item is the addition of its price plus the taxes. That is:

[tex]Total\,\,cost=13.42+0.04\,*\,13.42\\Total\,\,cost=13.42+0.5368\\Total\,\,cost==13.9568[/tex]

Which can be rounded to $13.96

Answer:

(-1, 0.5)

Step-by-step explanation:

desmos is an awesome tool to see what the graphs look like

(sorry if this isn't the answer you're looking for)

Answer:

(-1, 0.5)

Step-by-step explanation:

i hope this helpssssss

Answer:

circumference

Step-by-step explanation:

In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

Formula

C = 2 \pi r

Answer:

  rational number, whole number, and integer

Step-by-step explanation:

  √441 = 21

21 is an integer, a whole number, and a rational number.

Answer:

y = -2/5 x + 4.8

Step-by-step explanation:

1. 6-4/3-8 = 2/-5, m= 2/-5, m = slope

2. y = mx + b, 6 = 2/-5(3) + b

3. 6 = 1.2 + b

4. 4.8 = b

5. y = -2/5 x + 4.8

Answer:

340 ? maybe

Step-by-step explanation:

i rounded 163 down to 160 and i rounded 176 up to 180.

then, i added it up to be around 340, if that is the right answer. hope this helps:), sorry if it doesnt:(

Answer:

163+176=339 SO rounded the answer would be 340

Step-by-step explanation: