Steve claims tan(x) - 3
What value of cos(x) supports Steve's claim?
9
41
0
9
40
40
41
41
40

Answer:

240 feet

Step-by-step explanation:

The formula for finding the area of a triangle is: [tex]\frac{1}{2}bh[/tex], where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.

In this case, 20 is our height, and 24 is our base. Let's plug that into the formula.

[tex]1/2(20)(24)\\1/2(480)\\240[/tex]

Therefore, the area of the triangle is 240 feet.

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Answer:

0.18

Step-by-step explanation:

Maths big brain

Answer:

123

Step-by-step explanation:

Add 4 enough times to 11 and you will get there.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 4}\implies A=500(1.05)^4\implies A\approx 607.75[/tex]

The final amount will be $607.75 after 4 years if the principal amount is $500 and it compounded annually with interest rate of 5%

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+r)^t[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have in the problem:

P = $500, r = 5% = 0.05, and n = 4 years

[tex]\rm A = 500(1+0.05)^4[/tex]

A = $607.75

Thus, the final amount will be $607.75 after 4 years if the principal amount is $500 and it compounded annually with interest rate of 5%

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Answer:

43

Step-by-step explanation:

equation= sqrt (x2-x1)^2 + (y2-y1)^2

Answer:

D. 750

Step-by-step explanation:

if the shop makes 25 dozen in 2 days that means it makes 300 cupcakes in 2 days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know she is only going to be making half of that 25 dozen on the 5th day so you just take half of 300 which is 150 and add it all up: 300+300+150=750

Answer:

191

Step-by-step explanation:

do the frame with the pic first that is

28*24=672

next just the pic

24*20=480

next subtract the pic from the frame

672-480=191

The simulation of the gender of a child by the couple is an illustration of probability.

The number of trials (n) is given as:

n = 90

The chance of getting each gender is equal.

So, we have:

P(Boy) = 0.5

P(Girl) = 0.5

The simulation would be based on numbers 0 to 9. Such that:

Notice that each gender have the same amount of digits i.e. 5

This is so because they both have equal chance

Read more about probability at:

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Step-by-step explanation:

2x²+3x=20

2x²+3x=20

(√2x)²+2(√2x)(3/2√2)+(3/2√2)²-(3/2√2)²=20

(√2x+3/2√2)²=20+9/8

(√2x+3/2√2)²= 169/8

(√2x+3/2√2)= ±13/2√2

√2x=10/2√2 or -16/2√2

x= 10/4 or -16/4

x= 5/2 or -4

Answer:

sum the numbers of favorite food together.

pizza- 58.

hamburger- 36.

pasta- 14.

others- 17.

Addition of the favorite food will give us .

58+36+14+17=125.

pizza ..58/125 × 100 =46.4

The slope of the required line is  [tex]\frac{6}{5}[/tex].

Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .

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Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

[tex]N = N_0 * (\frac{1}{2})^{t/p[/tex]

[tex]N_0[/tex] is the starting amount of parent element.

[tex]N[/tex] is the end amount of parent element

[tex]t[/tex] is the time elapsed

[tex]p[/tex] is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days[/tex]

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g[/tex]

c.

Now we just gotta do some algebra. Use the original function but this time, replace [tex]N(t)[/tex] with 10g and solve algebraically.

[tex]10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}[/tex]

Take the log of both sides.

[tex]log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})[/tex]

Use the exponent rule for log laws that, [tex]log(b^x) = x*log(b)[/tex]

[tex]log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})[/tex]

[tex]\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}[/tex]

[tex]2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t[/tex]

slap that in your calculator and you get

[tex]t = 8.1 days[/tex]

Answer:

40/41.

Step-by-step explanation:

sin Z = opposite side / hypotenuse

= 40/41

When you reflect across the Y axis, the Y value remains the same and the x value becomes opposite.

Answer: (5,-3)

Using sampling concepts, it is found that she could use systematic sampling, asking one out of every 10 students for example, as long as it involves students of all possible groups.

Samples may be classified as:

In this problem, the most viable type is a systematic sample, asking one out of every 10 students for example, as long as it involves students of all possible groups.

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Answer:

v = 118.333333333

Step-by-step explanation:

formula: V=a^2h/3

The area is the base edge (so 5)

The height is the line going up the triangle (14.2)

Fill in:

v = 5^2(14.2/3)

Solve:

exponent first: 5^2 = 25

v = 25 (14.2/3)

divide/find out fraction: 14.2/3 = 4.73333333333

v = 23 x 4.73333333333

multiply: 23 x 4.73333333333 = 118.333333333

v = 118.333333333

you can also write as v = 118.3 with a line like “-“ over 3 to show the 3 is repeating:)

Answer:

its 54

Step-by-step explanation:

1+2=3 3x5=15 15x2=30 30+16=46 46+8=54

Answer:

A. Line
<------------->

B. Angle
⦟

C. Line Segment
.___________.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

A = 5

I hope you have an amazing day!

Answer:

D

Step-by-step explanation:

X must be positive as you cannot have a negative amount of people and neither X and Y could be 0. (In this case (7, 0) could have been viable but the choice says non-viable.) This means the answer is (12,3).

The ordered pair (12, 3) is viable  is correct answer.

"Ordered pair is defined as the two numbers or variables which is written in form of  pair using parenthesis."

According to the question,

Number of visitors = x

Number of winners = y

Relationship given,

Number of visitors and hole in one winners.

Negative value cannot  be part of number of visitors or winners.

Therefore,

(-3,7) is not the correct ordered pair.

'x' and 'y' value cannot be equals to zero as per the condition given.

(7,0) is non viable.

Therefore,

(0,4) and (7,0) is not the correct ordered pair.

(12,3) represent both positive value as per the condition.

Hence, the ordered pair (12, 3) is viable is correct answer.

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Answer: 0.428

Step-by-step explanation:

[tex]\tan \theta=\frac{\text { side opposite to } \theta}{\text { side adjacent to } \theta}[/tex]

[tex]\begin{aligned}\tan \theta &=\frac{A B}{A C} \\\tan \theta &=\frac{6}{14} \\\tan \theta &=\mathbf{0 . 4 2 8}\end{aligned}[/tex]

Answer:

The perimeter is 2 times greater.

Step-by-step explanation:

Answer:

38.75

Step-by-step explanation:

Not sure what you mean by ioth but when you add up all the numbers and divide by n, you get 38.75 (hopefully you can round it to whatever you want)

Answer:

ezz multiply and see what it s if its wrong then txt me

Step-by-step explanation:

Answer:

13 not including Shawna

Step-by-step explanation:

First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.

Answer:

13

Step-by-step explanation:

13 x 3=39. There is one remaing, +1 = 40.

Answer:

(.8-.4)/(2-1) =.4

SLOPE IS THE RATE OF CHANGE Answer: A

Step-by-step explanation:

The volume of the rectangular lunch box is the amount of space in it

The volume in terms of W is LW^2 = 443.75

The volume is given as:

V = 355

Let the width of the box be W, and the height be H; such that:

W = 1.25H

Make H the subject

H = W/1.25

The volume is calculated as:

V = LWH

So, we have:

355 = L * W * W/1.25

Multiply through by 1.25

443.75 = L * W * W

This gives

443.75 = LW^2

Rewrite as:

LW^2 = 443.75

The diagram is not given. So, the question cannot be solved further

Hence, the volume in terms of W is LW^2 = 443.75

Read more about volumes at:

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Answer:

14.875

Step-by-step explanation:

hope it helped

Answer:

20 square units

Step-by-step explanation:

as its a square, we just add all the sides together. like a+b+c+d..

5+5+5+5=20 units