Seth made a small rectangular table from his workroom the sides of the table or 1.3 mm and 2.8 mm what is the length of the diagonal of the table

Answer:

Area = 25.12 square units.

Perimeter = 20.56  units

Step-by-step explanation:

If you are looking for area, here goes:

Area of circle = π * r^2  

Area of semi-circle = S = (1/2) *π * r^2

S =  (1/2)*π*(4^2) = (1/2)π*16 = 8π square units = 25.12 square units

Or if you are looking for the perimeter:

Circumference C = 2*π*r

Half-circumference =  (1/2)C = (1/2)*2*π*r =  π*r = π*4

Perimeter of semi-circle =  4 + 4 + 4π = 8 + 4π

We have been given that [tex]\text{sin}(A)=\frac{12}{13}[/tex] and angle A is in quadrant 1. We are asked to find the exact value of [tex]\text{cot}(A)[/tex] in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

[tex]\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}[/tex]

Now we will find adjacent side using Pythagoras theorem as:

[tex]\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2[/tex]

[tex]\text{Adjacent}^2=13^2-12^2[/tex]

[tex]\text{Adjacent}^2=169-144[/tex]

[tex]\text{Adjacent}^2=25[/tex]

Let us take positive square root on both sides:

[tex]\sqrt{\text{Adjacent}^2}=\sqrt{25}[/tex]  

[tex]\text{Adjacent}=5[/tex]

Therefore, adjacent side of angle A is 5 units.

[tex]\text{cot}(A)=\frac{5}{12}[/tex]

Therefore, the exact value of cot A is [tex]\frac{5}{12}[/tex].

The exact value of cot(A), where sin(A) is 12/13 and angle A is in Quadrant 1, is 5/12 in simplest radical form with a rational denominator.

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Answer:

f + 6

Step-by-step explanation:

The change in temperature is 6 f.

Given,

The temperature was -6 f.

It rose so that the temperature was 0 f.

We need to find what represents the change in temperature.

Initial temperature = -6 f.

Final temperature = 0 f.

Let the change in temperature be M.

Now,

We have,

It rose so that the temperature was 0 f.

So we can write it as,

Initial temperature + M = final temperature

-6 f + M = 0 f

-6 f + M = 0

M = 0 + 6 f

M = 6 f.

Thus we see that the change in temperature is 6 f.

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Answer:

= $ 158.44

Step-by-step explanation:

$ 233 = 100%

100% - 32% = 68% which is the percentage that represents the new price

If 100% = $ 233

What about 68% = $?

= (68 x 233) ÷ 100

= 15844 ÷ 100

= $ 158.44

complete question:

The value of Q is given by the relation Q = 17m. If m is an integer greater than 15 and less than 23, then which of the following is the value of Q?

A. 255

B. 290

C. 306

D. 391

Answer:

C. 306

Step-by-step explanation:

The equation is Q = 17m. m is an integer and it is greater than 15 and less than 23 . This means m can only be 16, 17, 18, 19, 20, 21 and 22.

Insert any of the value of Q from the options in the equation Q = 17m and solve the equation. The answer of m must be between 16 to 22.

let us try

option A

Q = 17m

255/17 = m

m = 15 (not A since it not greater than 15)

option B

Q = 17m

290/17 = m

m = 17.0588235294

(not an integer)

option C

Q = 17m

306/17 = m

m = 18

(correct . it is an integer and greater than 15 and less than 22)

option D

Q = 17m

391/17 = m

m = 23

(not less than 23)

Answer:

8.9  9

6.4 6

Step-by-step explanation:

Answer:

Using the formula a² + b² = c², we can plug in those two numbers, which I assume are the legs, to get our answer.

- Once we plug it in, we have to isolate the variable.

THEN

- We must square root (√) the final answer. Like so:

6.4² + 8.9² = c²

DO: The variable is already isolated, so we must do this a little differently. We'll square each number like it shows, and then add the two numbers together.

6.4² = 40.96

8.9² = 79.21

NOW: We can add them together.

40.96 + 79.21 = 120.17

LOOK: 120.17 = c²

We must now get rid of the 2, by square rooting both sides!

10.9622078068  = c

TO THE NEAREST WHOLE NUMBER: 11

ANSWER:

11

Answer:

  π/2 units to the left

Step-by-step explanation:

To shift a function to the right by h units, replace x with (x -h). Here, the value of h is -π/2, so the function is shifted the opposite of right.

The function is shifted to the left by π/2 units.

Answer:

im pretty sure the answers are

6) c

7) c

8) c

9) a

Step-by-step explanation:

Answer: im pretty sure the answers are

6) c

7) c

8) c

9) a

Step-by-step explanation:

Step-by-step explanation:

As we know, Scatter plots resembles line graphs in that they are plotted on the x and y axis and the purpose of a scatter plot is to shows if the variables are related to each other. If yes, they can draw a line of best fit which can expose or go through most of the points in the plot.

Given the information in the question, we know:

"they collected information of texting speed according to age"

=> We have 2 variables here which are age and (texting speed)

Step 1:

Step 2: Plot the points according to age and texting speed

Hence, from that plot, it could have two cases in the relation of age and texting speed which are "the more time, more text is written", or "the less time, more text is written".

Answer:

Label axes according to input and output variables. Plot the ordered pair of the independent and dependent variable on the coordinate plane. Identify if there is a relationship between the variables.

Step-by-step explanation:

Answer:

(a+5)(a+3)

Step-by-step explanation:

a²+8a+15

=a²+3a+5a+15

=a(a+3)+5(a+3)

(a+5)(a+3)

hope this helps

plzz mark me brainliest

Answer:

factor the trinomial a^2-8a+15 using th ac method.

Step-by-step explanation:

(a+3) (a+5)

Answer:

18pi or 56.52 if you substitute pi with 3.14

Step-by-step explanation:

Answer:

[tex]28.26 {cm}^{2} [/tex]

Step-by-step explanation:

First let's find the radius

[tex]d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ 3 = r[/tex]

Now let's find the area.

[tex]\pi {r}^{2} \\ 3.14 \times 3 \times 3 \\ = 28.26 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck !have a nice day

Answer:

B.

Step-by-step explanation:

Trust me.

I just did it.

The correct statement is:

In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).

Option D is the correct answer.

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The 98% confidence interval for the proportion of residents in favor of having more public parks in the county is 0.54 ± 0.03.

This means that we are 98% confident that the true proportion of residents in favor of having more public parks in the county falls within the interval from 0.51 to 0.57.

Now,

The correct statement is:

In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).

Option a is incorrect because we cannot determine whether the majority of residents are in favor of having more public parks based solely on the confidence interval.

Option b is incorrect because we cannot determine whether the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks based solely on the confidence interval.

Option c is incorrect because it is a statement about the probability of the sample proportion falling within the interval in repeated sampling, which is not the same as the true proportion falling within the interval.

Option e is incorrect because it is a statement about the probability of the true proportion being equal to 0.54 in repeated sampling, which is not necessarily true based solely on the confidence interval.

Thus,

The correct statement is:

In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).

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Answer:

None

Step-by-step explanation:

If Angles B and D were equal, then:

AB // CD

And

BC // AD

Since we don't have any such information, we can not call any of them parallel

Answer:

Step-by-step explanation:

Answer: Eliana should add 9 cups of fertilizer to the pot.

Step-by-step explanation:

Given , Eliana always adds 3 cups of fertilizer for every 8 cups of soil. .

As the quantity of fertilizer is proportional to the quantity of soil.

That means,

[tex]\dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{\text{24}}=\dfrac{\text{Number of cups of fertilizer for 8 cups of soil}}{8}\\\\\Rightarrow \dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{24}=\dfrac{3}{8}[/tex]

Multiply 24 on both sides , we get

[tex]\Rightarrow\ \text{Number of cups of fertilizer for 24 cups of soil}=\dfrac{3}{8}\times24=3\times3=9[/tex]

Hence, Eliana should add 9 cups of fertilizer to the pot.

Eliana should add 9 cups of fertilizer to the pot.

To determine how many cups of fertilizer Eliana should add to the pot, we can use the given ratio of 3 cups of fertilizer for every 8 cups of soil. Since Eliana filled the pot with 24 cups of soil, we can set up the following proportion:

3 cups of fertilizer / 8 cups of soil = x cups of fertilizer / 24 cups of soil

By cross-multiplying and solving for x, we find that Eliana should add 9 cups of fertilizer to the pot.

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Answer:

-2

Step-by-step explanation:

add 3 to 11 and then divide 14 by -7

Answer:

d = -2

Step-by-step explanation:

-7d - 3 = 11

-7d = 11 + 3

-7d = 14

d = 14/-7

d = -2

hope it helps!

Answer:

A

Step-by-step explanation:

So first you need to know the formula for the area of a segment of a circle which is... A = 0.5 × (θ - sinθ) × r²

*make sure that you do this question in RADIANS

You know that θ (the angle) is 90° which is equal to π/2 and the radius is 3, so from here you just plug in numbers to the equation.

A = 0.5 × ( π/2 - sin(π/2)) × 3²

A = 2.5685... sq units = 3 sq units

Answer:

20/8 pounds or equivalently 10/4 or 5/2

Step-by-step explanation:

4*5/8=(4*5)/8=20/8

Answer:

5 : 3

Step-by-step explanation:

Water: 2.5 cups

Milk: 1.5 cups

Water/Milk: 2.5/1.5 = 5/2 / 3/2 = 5/2 * 2/3 = 5/3

Hope this helps :)

The ratio of water to milk in the waffles will be 5 : 3.

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given is that waffles are made with 2 1/2 cups water and 1 1/2 cups milk.

We can write the given mixed fractions as proper fractions -

2[tex]\frac{1}{2}[/tex] = 5/2 = W

1[tex]\frac{1}{2}[/tex] = 3/2 = M

Now, we can write the ratio of water to milk as -

[W]/[M] = (5/2)/(3/2) = 5/2 x 2/3 = 5/3

Therefore, the ratio of water to milk in the waffles will be 5 : 3.

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Answer:

1) A

2) B

Step-by-step explanation:

The formula of rate of change from a certain number to another is

f(b) - f(a)

-----------

b - a

(i tried making a fraction if u couldnt tell)

Now substitute the values of x into the equation

(3*(-1) + 2) - (3*(1) +2)

----------------------------

           -1 - 1

now combine everything together:

(-3+2) - (3+2)

------------------

        -2

-1 - 5          -6         3

-------   =   ------- = ----

 -2             -2

now do the same for the second question

(0^2 + 3) - (3^2 + 3)       (3 - 12)         -9          3

--------------------------    =  ----------  = ---------- = -----             (answer choice B)

       0 - 3                           -3             -3

Answer:

A plain pizza is $10.50. A pepperoni pizza is $12.50.

Step-by-step explanation:

Solve a system of equations. Call x the price of plain pizzas and y the price of pepperoni pizzas. From the question we are told that for Jack:

[tex]58.50=2x+3y[/tex]

And for Jill:

[tex]67=4x+2y[/tex]

There are several ways to solve this. I'll used elimination. Multiply the first equation by 2:

[tex]117=4x+6y[/tex]

Now subtract the second equation from the first - this will get rid of the x, leaving only y, which can be solved for:

[tex](117-67)=(4x-4x)+(6y-2y)\\50=4y\\y=12.5[/tex]

Now sub the value for y into either of the original equations and solve for x. I'll use the first:

[tex]58.5=2x+3(12.5)\\58.5=2x+37.5\\21=2x\\x=10.5[/tex]

Answer:

One plain pizza would be $10.50 and one pepperoni pizza would be $12.50.

Answer:

∠G = 62

Step-by-step explanation:

Because Figure GHIJ is a Parallelogram, angle G and H are supplementary, which means that together, they add up to 180, so 180 - 118 = 62

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We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.  

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{tan}(29^{\circ})=\frac{88}{IJ}[/tex]

[tex]IJ=\frac{88}{\text{tan}(29^{\circ})}[/tex]

[tex]IJ=\frac{88}{0.554309051453}[/tex]

[tex]IJ=158.7562024638191237[/tex]

Upon rounding to nearest tenth, we will get:

[tex]IJ\approx 158.8[/tex]

Therefore, the length of the side IJ is approximately 258.8 units.

Answer:

it's 158.8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A parcent as a fraction would be /100. So the answer would not be C or D. And since it isn't B, the answer is only A

Answer:

Your going to cross multiply

Answer:

C. 60 dL = 6000 mL

60 x 100 = 6000

Step-by-step explanation:

Formula: multiply the value by 100

Final answer:

The statement that is true is D, which correctly states that 60 hectoliters are equal to 60000 liters, as 1 hectoliter equals 1000 liters.

Explanation:

The student has asked which statement is true regarding the comparison of different units of volume measurement. Only one of the statements given represents an accurate conversion:

Answer D

60 hectoliters (hL) equals 60000 liters (L). This is true because 1 hectoliter is equivalent to 1000 liters. Hence, if we have 60 hectoliters, we multiply 60 by 1000 to find the conversion in liters:

60 hL * 1000 L/hL = 60000 L

Therefore, statement D is correct.

Answer:

The answer is 0.375 hours

Step-by-step explanation:

Answer:

22.5 minutes

Step-by-step explanation:

which the top guy accidently made in decimal of an hour

The product of the two complex numbers are 35[Cos270 + i Sin(270)].

The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.

The product of the two complex numbers will be done as:-

[tex]z_1z_2=r_1r_2Cos (\theta_1+\theta_2)+iSin(\theta_1+\theta_2)[/tex]

[tex]z_1z_2= 5\times 7[Cos(60+210)+iSin(60+210)][/tex]

[tex]z_1z_2=35[(Cos270)+iSin(270)][/tex]

Therefore the product of the two complex numbers is 35[Cos270 + i Sin(270)].

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Answer:

Hassan scores 16 goals  today if he scores at the same rate today.

Step-by-step explanation:

Hassan scores 24 goals in 3 minutes.

Here, unitary method can be used to calculate the number of goals scored today i.e. in 2 minutes.

Hassan's rate of scoring goals (Number of goals scored in a minute) is [tex]\dfrac{24}{3}[/tex].

Number of goals scored in a minute = 8 goals per minute

It is given that, today as well he is scoring at the same rate:

So, number of goals scored today in 2 minutes = [tex]8 \times 2 \Rightarrow 16[/tex] goals.

Hassan scored 16 goals today.

Answer: its D

Step-by-step explanation: i cant really explain it but its D

Answer:

96% probability that the test result is correct

Step-by-step explanation:

We have these following probabilities:

2.3% probability that a randomly selected light is defective.

If the light is defective, 94% probability that the test result is correct.

100-2.3 = 97.7% probability that a randomly selected light is not defective.

If the light is not defective, 96% probability that the test result is correct.

What is the probability that the test result is correct?

94% of 2.3% and 96% of 97.7%. So

p = 0.94*0.023 + 0.96*0.977 = 0.96

96% probability that the test result is correct