a) Write down the exact value of tan 60' b) Find the value of h in this triangle, h= c) Write down the exact area of this triangle, h 60° 43​

Answer:

5m/s^2

Step-by-step explanation:

Acceleration = Change in velocity/time.

= 50 - 10

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

8

= 40/8

= 5

Answer:

5 m/s²

Step-by-step explanation:

v = 50 m/s

u = 10 m/s

t = 8 s

\(a = \frac{v - u}{t} \)

a = (50 - 10) ÷ 8

a = 40 ÷ 8

a = 5 m/s²

The histograms typically are used to display continuous measures.

There are different types of charts: histogram, line chart, pie chart, and others.

The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.

From the explanation, it is possible to identify the histograms typically are used to display continuous measures.

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Answer:

7

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

\(\sqrt{49} = 7\\\)

7 x 7 = 49

Answer:

D. 79 inches.

Step-by-step explanation:

That would be the circumference of the wheel

= π * diameter

= 78.54 inches

You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.

To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.

The formula to calculate the present value of an annuity is:

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

Where:

PV is the present value of the annuity (the amount you should pay initially)

PMT is the payment amount received annually ($1500 in this case)

r is the interest rate per period (6.28% or 0.0628)

n is the total number of periods (9 years)

Let's substitute the values into the formula:

PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628

Calculating this expression:

PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628

PV = $1500 × [1 - 0.575255] / 0.0628

PV = $1500 × 0.424745 / 0.0628

PV ≈ $10117.09

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This study can be best described as Controlled Placebo Experiment

What is a Controlled Placebo Experiment?

A controlled placebo experiment is a type of research method that is used to check the effectiveness of a drug in a patient. This is done by selecting a sample group, then randomly divide the two group into a placebo group (this are the group that will receive the drug treatment ) and the controlled group (these are the group that will receive a colored mixture that looks like the drug, but does not have any effect). Without the groups knowledge about the real drugs and the colored mixture, but are followed up and tested.

According to the given question:

This is a controlled placebo experiment, because 400 student has been chosen as the sample, and are divided into a placebo group and a controlled group, to check the effectiveness of a drug on their memory.

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Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

7 pounds for 3.25

Step-by-step explanation:

7 pounds of apples is alot for a cheap price like 3.25

In this triangle it is clear that the unknown side x is the hypotenuse of both the triangles that are being formed . So , let us take any one of the triangles and with it's length let us find the length of their hypotenuse which is side x .

= 5² + 5² = x² ( according to the pythagorean theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 25 + 25 = x²

= 50 = x²

= 7.0710678119 = x

But they have given that we have to round it off to the nearest tenths , so ;

= 7.0710678119 will be equal to = 7.10

= 7.1 = x

Therefore , the length of the unknown side x = 7.1 .

The Identity sin (x-y) - sin (x+y) = -tan y cos (xy) + cos (x-y)

A more detailed explanation of the answer.

Here is how to prove the identity sin(x-y)-sin(x + y) =-tan(y) cos(x y) + cos(x -y) using the Addition and Subtraction Formulas, and then simplify:

Addition and Subtraction Formula: Sin (x-y) - sin (x+y) = 2 cos x sin yCos (x-y) + cos (x+y) = 2 cos x cos y.

Let's first prove 2 cos x sin y cos (x-y) + cos (x+y)

Step 1: Use the addition formula for cosine cos (x+y) = cos x cos y - sin x sin yCos (x-y) = cos x cos y + sin x sin y

Step 2: Multiply both sides by 2 2 cos x sin y cos (x-y) + 2 cos x cos y - 2 sin x sin y

Step 3: Add the results 2 cos x sin y cos (x-y) + cos x cos y + cos x cos y - sin x sin y - sin x sin y3 cos x cos y - 2 sin x sin y

Step 4: Factor out cos x from the first two terms and sin y from the last two terms cos x (3 cos y - 2 sin y) - sin y (2 sin x + 3 cos x)

Step 5: Convert sin y to cos y and simplify cos x (3 cos y - 2 sin y) - sin y (2 sin x + 3 cos x)cos x (3 cos y - 2 sin y) - cos (90-y) (2 sin x + 3 cos x)cos x (3 cos y - 2 sin y) + sin x (2 sin y + 3 cos y)tan (90-y) = -tan ytan (90-y) = -tan y,

Therefore sin (x-y) - sin (x+y) = -tan y cos (xy) + cos (x-y)

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Note that the pool is in the shape of square with each of its four sides measuring 'x' units.

(a)

So the total length of the rectangular system is given by,

Thus, the total length of the rectangle is (x+20) units.

(b)

Similarly the total width of the rectangular system is given by,

Thus, the total width of the rectangle is (x+16) units.

(c)

Consider that the area of the rectangular area is calculated as,

Substitute the values,

Thus, the above expression gives the area of the given rectangle.

[2×3]^5 = ( 2^5 ) * (3^5) = 32 * 243 =7,776

we have used the rule

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Graph

Center = ( - 7 , 2)

Radius = 2

equation of the circle = ?

Step 02:

equation of the circle

(x - h) ² + (y - k) ² = r ²

( h , k) = ( - 7 , 2)

r = 2

( x - (-7)) ² + (y - 2)² = 2 ²

(x + 7)² + (y - 2)² = 4

The answer is:

The equation of the circle is (x + 7)² + (y - 2)² = 4

Answer:

y= -2/7x +4

Step-by-step explanation:

Answer: -2/7

Step-by-step explanation:

1. Use the slope equation (y2-y1)/(x2-x1) you take 2 coordinates in the chart and use the second coordinates y output minus the first corrdinates y output and the same for the x inputs and whatever you get is your slope

1. Plug the first two coordinates into the slope formula:

(6-8)/(-7-(-14))

2. Solve:

-2/7!

I hope this helped :)

Answer:

base=24

Step-by-step explanation:

2*4=8

192/8=24

Answer:

(Sin A + Cos A)/Sin A. Cos A

Step-by-step explanation:

As we know

Sec A = 1/Cos A

and Cosec A = 1/Sin A

Given Equation

Sec A + Cosec A

Substituting the given values, we get -

1/cos A + 1/Sin A

(Sin A + Cos A)/Sin A. Cos A

Answer:

40.5 mm

Step-by-step explanation:

Use a proportion to find the blueprint's length of the living room.

27 mm is to 6 m as x is to 9 m

27/6 = x/9

6x = 27 * 9

6x = 243

x = 40.5

Answer: 40.5 mm

The side length of the square = 5 in

If the side length of a square is represented as L

The area of the square is given by the formula:

Area, A = L²

Since the Area is given in the question as:

A = 25 in²

Substitute the value of A into the formula A = L²

25 = L²

Square root both sides:

The side length of the square = 5 in

Answer: 20 cards.

Step-by-step explanation: If Sarah can make 4 cards in 60 minutes, then she can make 1 card in 60/4 = 15 minutes.

Therefore, in 300 minutes, she can make 300/15 = <<300/15=20>>20 cards.

The probability that the chosen coin is the one with two heads, given that the coin flipped came up heads, is 2/3.

To determine the probability that the chosen coin is the one with two heads, we can use Bayes' theorem.

Let's define the events:

A = Coin chosen is the one with two heads

B = Coin flipped comes up heads

We want to find P(A|B), which represents the probability that the chosen coin is the one with two heads given that the coin flipped came up heads.

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

P(B|A) is the probability of getting heads when the chosen coin has two heads. Since all flips of this coin will result in heads, P(B|A) = 1.

P(A) is the probability of choosing the coin with two heads initially. Since there are three coins and only one of them has two heads, P(A) = 1/3.

P(B) is the probability of getting heads regardless of which coin is chosen. To calculate this, we need to consider all possible outcomes:

If the coin with two heads is chosen, the outcome will always be heads.

If the coin with two tails is chosen, the outcome will always be tails.

If the fair coin is chosen, the probability of getting heads is 1/2.

Therefore, P(B) = (1/3 * 1) + (1/3 * 0) + (1/3 * 1/2) = 1/2.

Now, we can substitute these values into Bayes' theorem:

P(A|B) = (1 * 1/3) / (1/2) = (1/3) / (1/2) = 2/3

So, the probability that the chosen coin is the one with two heads, given that the coin flipped came up heads, is 2/3.

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Answer:

-9x^2 + 12x + 5

Step-by-step explanation:

I'm assuming you meant (3x – 2)^2.  The " ^ " indicates exponentiation and is required.  We then have:

9 - (3x – 2)^2, which, when expanded, is

9 - (9x^2 -12x + 4), or:

-9x^2 + 12x + 5

It is given that,

The diameter of a white blood cell is 12 micrometers

The diameter of the white blood cells according to a model is 24 micrometers.

We need to find the ratio of model size to actual size. It can be done as follows :

So, the correct answer is C.

Step-by-step explanation:

13 + (-20) = 13 - 20 = -7

HOPE IT HELPS

Answer:

-7

Step-by-step explanation:

I'd recommend at least trying the problem before asking for help. This is a simple subtraction/addition problem.

13 add (-20) is 13 + (-20), which is 13 - 20.

13-20 = -7

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

its like 80 perent sure

Answer:

B: 8 7/8 Lbs

Step-by-step explanation:

answer = \(15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}\)

step 1 find a common denominator

common denominator - 8

* apply *

\(\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}\)

now we have

\(15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}\)

step 2 make each fraction a improper fraction

We can do this my multiplying the big number by the denominator and adding that to the numerator.

\(15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}\)

now we have

\(\frac{121}{8} -\frac{28}{8} -\frac{22}{8}\)

Now we can subtract

remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )

so 121 - 28 - 22 = 71

so the answer is \(\frac{71}{8}\)

finally we want to change the answer back into a mixed fraction

To do this we divided 71 and 8

8 can go into 71 8 times

8 * 8 = 64

71 - 64 = 7

We're left with \(8\frac{7}{8}\)

Counting from right to left, find the 68th digit of n is 10.

An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.

This integer is equal to 10100 = 10

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Answer:

B) the slope is -10 and the y-intercept is +1

Step-by-step explanation:

The lope comes before the x, and the y-intercept comes after the x. Hope this helps.

Answer:

the answer is B

Step-by-step explanation:

i did the math QUIZ 8th grade EDG