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Answer:

Just as the distance between the origin and any point (x,y) on a circle must be the circle's radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ .

Step-by-step explanation:

hope this helps:)

Answer:

...

Step-by-step explanation:

The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade is 1,169,176.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades.

The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade will be

[tex]\rm Number \ of \ ways = \ ^{13}C_2 \times ^{13}C_2 \times ^{13}C_2 \times ^{13}C_1 \\\\Number \ of \ ways = 78 \times 78 \times 78 \times 13 \\\\Number \ of \ ways = 6,169,176[/tex]

The number of ways is 6,169,176.

More about the permutation and the combination link is given below.

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Answer:

≈22

75 × 2 = 150 important

150 - 165 = 15(9) the 9 comes from dropping the ones place in 1,659

150 - 159 = 9

_______________________________________________________

With that information, the problem is solved! We got our exact estimate, and a remainder of 9 to make up for the missing 9 in 1,650! 22 × 75 = 1,650 so add 9, the remainder.

_______________________________________________________

We learned how to do long division using remainders.

Still have questions? Ask me in the comments box, and I may be able to assist.

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of triangle 2 so the perimeter of triangle 2 is 20÷2 = 10 cm

Answer:

24.8 ft

Step-by-step explanation:

Formula to find the volume of a sphere is :

Volume = [tex]\frac{4}{3}[/tex] π r³

Here,

r ⇒ radius

Given that,

Volume ⇒ 8000 ft³

Let us find the radius of the tank now.

Volume = [tex]\frac{4}{3}[/tex] π r³

8000 =  [tex]\frac{4}{3}[/tex] π r³

8000 =  [tex]\frac{4}{3}[/tex] × 3.14 × r³

8000 × 3 = 4 × 3.14 × r³

24000 = 12.56r³

Divide both sides by 12.56.

1910.822 = r³

∛1910.822 = r

12.40 ft = radius

And now let us find the diameter of the sphere.

d = 2r

d = 2 × 12.40

d = 24.8 ft

The diameter of the tank is 24.80 ft

Step-by-step explanation:

Given-

i.e. The volume of spherical tank = 8,000 ft^3

Now, the formula for finding volume of any spherical figure is-

Therefore, substituting value, we get

[tex]⇢8000 = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]⇢8000 \times \frac{3}{4 } = \frac{22}{7} \pi {r}^{3} [/tex]

Transposing 4/3 to left hand side ,it will become 3/4 . And Here, 8000 will get cancelled by 4 leaving 2000

[tex]⇢2000 \times 3 \times \frac{7}{22} = {r}^{3} [/tex]

Similarly , On performing further calculations, we get. ..

[tex]⇢ \frac{21000}{11} = {r}^{3} [/tex]

[tex]⇢1910.822 = {r}^{3} [/tex]

[tex]⇢ \sqrt[3]{1910.822} = r[/tex]

[tex]⇢ \underline{12.40 = r}[/tex]

Thus, the radius of the tank is 12.40 ft

Now,

The diameter of the tank = 2 × radius

[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 12.40[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 24.80[/tex]

•°• The diameter of the tank comes out 24.80 ft

Considering the situation described, we have that:

At the null hypotheses, it is tested if the proportion at the complex is the same as the rest of the population, that is, of 14%, hence:

[tex]H_0: p = 0.14[/tex].

At the alternative hypotheses, it is tested if it is greater, hence:

[tex]H_1: p > 0.14[/tex].

More can be learned about the test of an hypotheses at https://brainly.com/question/26454209

35cm!

4 + 4 = 8

7 + 7 = 14

13 + 8 =  21 (13 + (8 - 1 ) = 20 + 1 = 21)

21 + 14 = 35 (4 + 1 = 5, 20 + 10 = 30, 30 + 5 = 35)

Answer:

never.

Step-by-step explanation:

Check the picture below.

Answer:

yess add your anwser is 32.235

Answer: It would be 12 to the power of 3

Step-by-step explanation: You can see there are three 12 so you add a tiny little three on the top of 12 so it could be 12 to the power of 3.

Answer:

12x^3

Step-by-step explanation:

The power (exponent) is however many times the base (12) is multiplied by itself. Do NOT confuse this by 12 x 3.

Answer: (x-4)

Step-by-step explanation:

x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15

Answer:

(x-4)

Step-by-step explanation:

Answer:

Finding the probability of a single die roll requires little effort.

First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are {2,3,5}. Since there are six sides, your answer is:

P(prime) = 3/6 = 1/2 = 50%

Answer:

Area of garden= 238 sq feet.

The correct statements regarding the function are:

2. The period of the function is [tex]2\pi[/tex].

4. The amplitude of the function is 2.5.

5. The midline of the function is y = 1.5.

The amplitude of a function is half the difference between the largest and the smallest value.

In this problem, these values are of 4 and -1, hence the amplitude is:

A = (4 - (-1))/2 = 2.5.

Thus the midline is:

y = -1 + 2.5 = 4 - 1.5 = 2.5.

The period of a function is the distance between it's repetitions. Hence, for this graph, the period is of [tex]2\pi[/tex].

More can be learned about functions at https://brainly.com/question/16818112

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Match in the given pattern

1-->F

2-->A

3-->E

4-->C

5-->B

6-->D

I hope it helps you

Using the normal distribution, it is found that there is a 0.0571 = 5.71% probability that the total weight exceeds the maximum weight.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that the parameters are given as follows:

[tex]\mu = 60, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]

The probability that the total weight exceeds the maximum weight is the probability of a sample mean above 650/10 = 65 kg, which is one subtracted by the p-value of Z when X = 65.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{65 - 60}{3.1622}[/tex]

Z = 1.58.

Z = 1.58 has a p-value of 0.9429.

1 - 0.9429 = 0.0571.

0.0571 = 5.71% probability that the total weight exceeds the maximum weight.

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42

Step-by-step explanation:

7h+ 3 = 45

3 + 7h = 45

h=6

7×6 = 42

The radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.

Volume of cone is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

The diagram of the cone is shown, in which,

Let suppose the radius of the cone is r inches long. Thus, put the values in the above formula,

[tex]V=\dfrac{1}{3}\pi r^2h\\1.5\pi=\dfrac{1}{3}\pi r^2(4.5)\\1.5\pi\times3=\pi r^2(4.5)\\\dfrac{1.5\pi\times3}{\pi \times 4.5}= r^2\\1= r^2\\r=\sqrt{1}\\r=1\rm\; inches[/tex]

Thus, the radius of the cone that holds ice cream which has height of 4.5 inches and 1.5π cubic inches, is 1 inches.

Learn more about the volume of cone here;

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Answer:

20f=c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the step equation because of the font

Answer:

that's the answer man ur welcome btw

The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a cosine of one acute angle of a right triangle is 8/17.

Let's suppose the angle is α

[tex]\rm Cos\alpha = \frac{8}{17}[/tex]

As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.

Let's suppose the length of the hypotenuse is x units

From the Pythagoras theorem:

[tex]\rm 17^2=x^2+8^2[/tex]

x = 15 units

Now the Sin ratio:

[tex]\rm Sin\alpha = \frac{15}{17}[/tex]

Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.

Know more about trigonometry here:

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The rule for a rotation by 270 ° about the origin is (x,y) ⇒ (y,-x)

Rotating the triangle PQR to create an image of the triangle involves moving the triangle PQR in a circular direction.

The coordinates of the given triangle are:

Using the rule, the coordinates now are:

In the attatchment, the answer is in pictoral form.

By taking the average number of eggs for both barns, we will see that the correct option is A.

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

If you want to learn more about averages, you can read:

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Step-by-step explanation:

Sum interior measure of triangle = 180°

Sum interior measure = (n-2)180

Where n is the no. of sides

Sum interior measure = (n-2)180

=(3-2)180

=180°

61+42+x =180

103+x =180

x = 180-103

x = 77°

Good Luck

Answer:

line graph

oihhoihjkii

60/100 * 75 & 0.60 * 75

60% can be rewritten as 0.60, and since 60/100=0.60, this expression is correct as well

The other two are incorrect because 0.60/100 would be 0.6%, and 60*75 would mean she is saving 6000%