The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{3}{8}cos(θ 1 ​ )= 8 3 ​ cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 3, divided by, 8, end fraction . What is the value of \sin(\theta_1)sin(θ 1 ​ )sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

Answer:

Step-by-step explanation to be honest probably 12 if not i’m so sorry

Hello!

[tex]\boxed{ \bf The~volume~is~29.32~cm^3.}[/tex]

___________________________________________________

To find the volume of the cone, we must use a certain formula:

V = [tex]\frac{1}{3}[/tex]πr²h

Let's plug in our values:

V = [tex]\frac{1}{3}[/tex]π(2)²(7)

V =  [tex]\frac{1}{3}[/tex]π(4)(7)

V =  [tex]\frac{1}{3}[/tex]π(28)

V = 29.32

Answer:

The answer is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Step-by-step explanation:

Step 1:  Answer part a

He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay.  Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.  

3.5 / 0.5

7

Answer: He can make 7 bowls

Step 2:  Answer part b

I don't really understand what the questions asking about how much clay does he need to make with all of his clay.  If you explain what that means I can answer it.

If you meant how much mugs he is able to make → 14

If you meant how much clay he needs to have for each mug → 0.25

Answer & Explanation:

Part A

It gives us 2 numbers to determined how much bowls he can make.

He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.

[tex]3.5[/tex] ÷ [tex]0.5[/tex]

= [tex]7[/tex]

He can make 7 bowls out of the 3.5 pounds of clay that he has.

Part B

This question is very confusing...

He can make 1 mug with 0.25 pounds of clay.

[tex]3.5[/tex] ÷ [tex]0.25[/tex]

= [tex]14[/tex]

He can make 14 mugs if he uses all of his clay.

hope this helps

give brainliest if you please

Answer:

Part A) shorter base = 6 yd      longer base = 8 yd    

Part B) C. 42 yds²

Step-by-step explanation:

Part A) The width and the length of the shorter side are the same, at 6 yds each. The longer base is 8 yds because there is a spot of 1 yd on both sides of the shorter side, making the longer side.

Part B) Find the area of the square first.

A = L x W

A = 6 x 6

A = 36 yds²

Next, find the area of a triangle and multiply the answer by 2 because there are two triangles.

A = 1/2bh

A = 1/2(1)(6)

A = 1/2(6)

A = 3(2)

A = 6 yds²

Add together all of the area measurements to find the area of the entire figure

36 + 6 = 42 yds²

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

Average daily balance: Add all balances up and divide by the number of days.

157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option

Daily interest rate: 24.99/365, as a percent, which is the first option

Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value

New account balance: Again, this does not seem to be given, but the only option remaining is the second one

Answer:

Average daily balance: Add all balances up and divide by the number of days.

157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option

Daily interest rate: 24.99/365, as a percent, which is the first option

Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value

New account balance: Again, this does not seem to be given, but the only option remaining is the second one

m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

Answer:

It would be Unlikely

Step-by-step explanation:

Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.

Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.

In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.

The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.

Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the diagram to this question is not given ; we will just explain the concept of the right angled triangle and a means by which we can use the Pythagoras theorem in solving such related question.

A right angled triangle has to legs which serves as the base line in which the height of the right angle is 90°.

Now; If we have a base line AB; let say , we chose any convenient radius at a and bisect an arc. at the arc we make another arc to the right ; we will have an angle at A which is 60°, So B will form a straight line up serving the role of the right angle which is 90° and where both met will be C which is 30°

So now we have a triangle ABC, if the line facing ∠ A = a ; the line facing ∠ B = b and the line facing ∠ C = c

Then; we can solve for side c if ; side a and side b are known by using the Pythagoras theorem.

Using Pythagoras theorem.

a²  = b² + c²

-c² =  b² - a²

Multiplying through with -

c² = - b² + a²

[tex]\mathbf{ c = \sqrt{-b^2 + a^2}}[/tex]

Since ; we already make c the subject of the formula; from the missing diagram, we can easily slot the values of a and b given to solve for the value of c using the above derived equation.

I hope that helps!.

Answer:

C.

Step-by-step explanation:

Lines with equal slopes are parallel since their slopes are equal so they are parallel.

Answer:

y = -x - 6

Step-by-step explanation:

I graphed the coordinate point on the graph and found an equation of the line that goes through the point with a slope of -1.

Answer:

y = -x - 6

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

First we need to find the mean

Add up all the number

(10+ 7+ 1+ 6+ 7+ 9+ 8+ 10+ 2+ 5)/10

65/10 = 6.5

Then find the absolute difference from each point and the mean and sum them together  and divide by the number of points

((10-6.5) + (7-6.5) +(6.5- 1) +(6.5-6) + (7-6.5)+( 9-6.5)+( 8-6.5)+ (10-6.5)+(6.5- 2)+(6.5- 5)) /10

24/10

2.4

Answer:

b) 2.4

Step-by-step explanation:

Mean = (10+7+1+6+7+9+8+10+2+5)/10

= 65/10 = 6.5

Sum|x-mean| = 3.5+0.5+5.5+0.5+0.5+2.5+1.5+3.5+4.5+1.5 = 24

MAD = 24/10 = 2.4

Answer:

c) √137

Step-by-step explanation:

Explanation:-

The distance between two points formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }[/tex]

Given points are R (3,7) and S(-1,-4)

[tex]RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }[/tex]

[tex]RS = \sqrt{(-4 )^{2} + (-11 )^{2} }[/tex]

[tex]RS = \sqrt{16 + 121 }[/tex]

RS = √137

The distance between the two points are RS = √137

Answer:

32%

Step-by-step explanation:

Given

Cost of Crockpot = $125

Coupon = $40

Coupon applies on items greater than $100

Required

Percent saved if coupon is applied.

If she applies coupon on the Crockpot, then she'll be saving $40.

Percent Savings = Amount Saved / Total Amount

Percent Savings = $40/$125

Percent Savings = 0.32

Convert to Percentage

Percent Savings = 0.32 * 100%

Percent Savings = 32%.

Hence, she'd save 32% if she applies the coupon of $40 on the Crockpot

Answer:

percentage savings = 32%

Step-by-step explanation:

She is buying a Crock-pot that retails for $125 . She has a coupon for $40 off any time she bought over $100 item.

Her percentage saving can be calculated below.

The price of the crock-pot is $125 but the amount she bought it base on coupon she has will be $125 - $40 = $85.

The normal price of the crock-pot is $125 and she bought it base on her coupon for $85, then the percentage change is

percentage saving = amount saved/normal price × 100

percentage savings = 40/125 × 100

percentage savings = 4000/125

percentage savings = 32%

The amount you bought the crock-pot was less than the original price hence Felicia saved 32% of the original price.

Step-by-step explanation:

7/ 12 is equivalent to - 7/-12

Answer:

The equation of the parabola is y=(1/8)x^2

[tex]y=\dfrac{1}{8}x^2[/tex]

Step-by-step explanation:

We know the vertex (0,0) and the focus (0,2) of the parabola.

The equation in vertex form is written as:

[tex]y=a(x-h)^2+k\\\\\text{vertex}=(h,k)[/tex]

Then, in this case, we have the equation:

[tex]y=a(x-0)^2+0=ax^2[/tex]

As the focus is (0,2), it is at a distance of 2 units from the vertex (0,0).

For the focus, we have the following equation:

[tex]4p(y-k)=(x-h)^2[/tex]

where p is the distance from the focus to the vertex (in this case, p=2).

h and k are the vertex coordinates, both 0.

So we have:

[tex]4p(y-k)=(x-h)^2\\\\4(2)(y-0)=(x-0)^2\\\\8y=x^2\\\\y=\dfrac{1}{8}x^2[/tex]

Answer:

C. The price of "personal computers and peripheral equipment" decreased 89.3%.

Step-by-step explanation:

Consumer Price Index (CPI) measures change in price level, of weighted average market basket of consumer goods & services produced by households.

CPI calculated change in current year price level with regards to base year price level, base year price = 100. CPI > 100 implies that inflation (price rise) has occurred in current year from base year. CPI < 100 implies that deflation (price fall) has occurred in current year from base year.

CPI for 'personal computers & equipment' = 10.7 implies that prices of 'personal computers & equipment' have fallen or deflated. As per base year price = 100, prices have fallen by 100 - 10.7 = 89.3%

Answer:

The answer is "Option B"

Step-by-step explanation:

[tex]CPI = 10.7 \ in \ (\ june, \ 2006) \\\\CPI_{2006}= \frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84} \times 100\\\\\frac{10.7}{100} =\frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84}\\\\[/tex]

The cost of basket [tex]_{1982 \ to 1984} \times 0.107= \ cost \ of \ basket_{2006} \\\\[/tex]

[tex]\ cost \ of \ basket_{1982 \ to 1984} \ is \ given \ as \ 100\\\therefore \ \ cost \ of \ basket_{2006} = 100 \times 0.107\\\\[/tex]

                                  [tex]\ = 10.7\\\\[/tex]

So, the answer is 10.7 % .

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - α)% confidence interval for population mean μ is:

[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}[/tex]

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

n₁ = 25

n₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

        [tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]

        [tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]

Thus, the sample consisting of 64 data values would give a greater precision.

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64 and this can be determined by using the formula of width.

Given :

The following steps can be used in order to determine the number of data values would you expect to give a greater precision for estimating the population mean:

Step 1 - The below formula of width is used in order to determine the number of data values.

Step 2 - The formula of width is given below:

[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]

where [tex]z_{\alpha /2}[/tex] is the z-score, [tex]\sigma[/tex] is the standard deviation, and 'n' is the sample size.

Step 3 - Now, at n = 25 the formula of 'w' becomes:

[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{25} }[/tex]

[tex]w = \dfrac{1}{5}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]

Step 4 - Now, at n = 64 the formula of 'w' becomes:

[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{64} }[/tex]

[tex]w = \dfrac{1}{8}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64.

For more information, refer to the link given below:

https://brainly.com/question/12402189

Answer:

b

Step-by-step explanation:

i took the test myself

Answer:

B

Step-by-step explanation:

Edge 2022

Answer:

20

Step-by-step explanation:

6p = 120

p = 120/6

p = 20

Answer:

The answer to that depends on the company

Step-by-step explanation:

Exact value

Decimal form

0.47712125

Answer:

[tex]log_{81} 3 = \frac{1}{4}[/tex]

Step-by-step explanation:

[tex]Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}[/tex]

Answer:

[tex]x=\{-\frac{1}{2} ,\:0\}[/tex]

Step-by-step explanation:

[tex]f(x) =-2x^2 -x\\plug \: f(x) =0\\0= -2x^2 -x\\2x^2 + x = 0\\x(2x+1) = 0\\\therefore x =0 \: or \: 2x+1 = 0\\\therefore x =0 \: or \: 2x = -1\\\\\therefore x =0 \: or \: x = -\frac{1}{2} \\\\x=\{-\frac{1}{2} ,\:0\}[/tex]

Answer:

i think that the answer is like hhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

C. 155.5 cm2

Step-by-step explanation:

area = 5*15 + (15+8)*7/2 = 75 + 80.5 = 155.5 cm2

Answer:

A = 121 pi in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 11^2

A = 121 pi in^2

Answer:

121 pi in^2

Step-by-step explanation:

Area = pi *. R^2

= pi x 11^2= 121pi. in^2