15.31 x 0.7
10.717
11.717
107.17
1.0717

Answer:

When you find the volume of a triangle, remember to do this:

Step-by-step explanation:

Multiply the base times the height, then divide by two.

:)

The mistake is in the second triangle and is noticeable at first because the length of the leg is longer than the length of the hypotenuse.

Since this is a 30 60 90 triangle, you can use the properties that apply to them. I'm assuming that the leg with the length of 62ft is the given side. Using the rules, we know that x/2 is 62 (since the properties of a 30 60 90 triangle state that the shortest side is x/2). In order to find the hypotenuse (which is x), we can multiply both sides of the equation x/2 = 62 to get x = 124. To find the second leg, we need to use sqrt(3)*x/2, which when you plug in 124, gives 107.39. Andrea just switched the lengths of the second leg and the hypotenuse on accident.

Answer:

Step-by-step explanation:

Answer:

$131.60

Step-by-step explanation:

For the promotion, markup is 33.3% of the selling price.

Now, Selling Price = Cost price + Cost price*Markup

Selling Price = $98.75 + $98.75*33.3%

Selling Price = $98.75 + $32.88375

Selling Price = $131.63375

Selling Price = $131.60

Thus, the selling price of the bicycle after calculating the markup is $131.60.

Answer:

Based on the given description above, the correct answer would be the second statement. If two lengths of two sides of a triangle are 9 and 15, therefore, the length of the third side must be greater than or equal to 6 and at most 24. Hope this answer helps.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Substitute the x value in the ordered pair for the x in the equation, or 2, and the y-value (6) in for y. So, 2 + 6 = 8, and this is true. Then do 3(2) - 6 = 0, which is also true.

Answer:

x = 1± 3i

Step-by-step explanation:

x^2-2x+10=0

We can complete the square to solve by subtracting 10 from each side

x^2-2x+10-10=-10

x^2 -2x = -10

We need to add (2/2) ^2  to each side or 1

x^2 -2x+1 = -10 +1

x^2 -2x+1 = -9

The left side factors into (x- (2/2) ) ^2

(x-1) ^2 = -9

Take the square root of each side

sqrt((x-1) ^2 =± sqrt(-9)

x-1 = ±sqrt(-1) sqrt(3)

Remember the sqrt(-1) = i

x-1 = ± 3i

Add 1 to each side

x-1+1 = 1± 3i

x = 1± 3i

Answer:

(e^3 / e^2n)

Step-by-step explanation:

Answer:  [tex]s=\sqrt{Vh}[/tex]

Step-by-step explanation:

[tex]V = s^2h\\[/tex]

divide both sides by h to isolate s

[tex]Vh=s^2[/tex]

since s is squared, square root both sides to make s not squared

[tex]\sqrt{Vh}=\sqrt{s^2}[/tex]

Vh isn't a numerical value so no need to simplify anything just leave everything as is, so you should get:

[tex]s=\sqrt{Vh}[/tex]

Answer:

Carlos fills 16 boxes per hour.

Step-by-step explanation:

Given that:

Adsila and Carlos are working together to fill the gift boxes for soldiers.

Number of boxes filled while working together in 4 hours = 108 boxes

Number of boxes filled while working together in 1 hour = [tex]\frac{108}{4} = 27[/tex] boxes per hour

Number of boxes filled by Adsila every hour = 11 boxes

To find:

Number of boxes filled by Carlos every hour = ?

Solution:

Number of boxes filled every hour while working together = Number of boxes filled every hour by Adsila + Number of boxes filled every hour by Carlos

Number of boxes filled every hour while working together = 27 = 11 + Number of boxes filled every hour by Carlos

Number of boxes filled every hour by Carlos = 27 - 11 = 16

Answer:

The answer is C

Step-by-step explanation:

Answer:

34347

Step-by-step explanation:

Use the formula s=p(1+r/k)^kt

p=30000

r=7% (interest)

k=1 (because of per annum)

t= 2 (years)

Hence: 30000(1+0.07/1)^1(2) = 34347

Answer:

1st, 2nd, 3rd, 4th, and 5th position.

Step-by-step explanation:

We need to know about arithmetic sequence to solve this problem. The equation for the nth term of each arithmetic sequence is a+(n-1)d and the 12th term of the sequence is -19.

An arithmetic sequence is a sequence of numbers where the difference between consecutive numbers is constant. If a,b and c are in arithmetic sequence then we can say that 2b=a+c. If the starting value of an arithmetic sequence is a and the difference between every consecutive number is d, then we can write the second number as a+d, the third as a+2d and so on. So for the nth term of an arithmetic sequence the equation is

nth term=a+(n-1)d where a is the starting value, d is the constant difference

We have been given the value of a and d, a=14 and d=-3, we need to find the value of the 12th term of the sequence.

12th term= a+(n-1)d= 14+(12-1)x(-3)=14-33=-19

Therefore we found out using the concept of arithmetic sequence that the equation for the nth term is a+(n-1)d and the 12th term of the sequence is -19.

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A (4,7) B(7,8) C (22,30)

Answer:

80 visitors

Step-by-step explanation:

From the above question, we can see that:

The trend is explained using geometric sequence

The formula for Geometric sequence is given as:

an = ar ^n - 1

Where a = first term

r = common ratio

n = number of terms

an = nth term

From the above question, let the number of term be equal to the number of weeks.

First week = First term = 5

Second week = Second term = 10

Third week = Third term = 20

Common ratio = a2/a1 = a3/a2 = 10/5 = 20/10 = 2

We are to find the number of visitors for the Fifth week = fifth term,

Hence:

a5 = 5 × 2^5 - 1

a5 = 5 × 2^4

a5 = 80 visitors

The number of visitors we can expect for the fifth week = 80 visitors

Answer:

-42

Step-by-step explanation:

Answer: C

Step-by-step explanation: I tested some points from the graph into all of the equations (-8,10) (-4,10) (-6,4) and C is the only one that works for all of them. Plus when you are adding inside an absolute value, it means you are moving to the left by whatever number you added, which automatically eliminates A and D. So B and C were the only ones left and I tested the points to see which one is correct.

Answer:

Step-by-step explanation:

Lets give a letter value for the chocolate chip and gingerbread cookies. Lets let C= Chocolate chip and G= Gingerbread For Makayla we can set her equation as 8c+12g=364

For John we can leave it as c+4g=93

To solve the equation we would have to substitute the second one into the first one to solve for gingerbread. Lets isolate C to make C=(93-4g)

We can do this because we know that C=93-4g so we can replace the C variable in the first equation with C=93-4g

8(93-4g) + 12g = 364

744 - 32g + 12g = 364

-32g + 12g = 364 - 744

-20g = -380

g = -380/-20

So we know that g=19 dollars. So one gingerbread cookie dough is $19

So now we can plug in the answer of g which was 19 then solve for C

c = 93 - 4(19)

c = $17 for the chip dough

Answer:

The cost per package is $17 for chocolate chip and $19 for gingerbread.

Step-by-step explanation:

Define the variables:

Given information:

Create two equations using the defined variables and the given information:

  [tex]\textsf{Equation 1}: \quad 8x+12y=364[/tex]

  [tex]\textsf{Equation 2}: \quad x+4y=93[/tex]

Multiply Equation 2 by 3:

[tex]\implies 3 \cdot x + 3 \cdot 4y=3 \cdot 93[/tex]

[tex]\implies 3x+12y=279[/tex]

Subtract from Equation 1 to eliminate the term in y:

[tex]\begin{array}{lrl}& 8x+12y =&364\\- & (3x+12y =&279)\\\cline{1-3} & 5x \phantom{+12y)} =& \:\:85\end{array}[/tex]

Solve for x:

[tex]\implies 5x=85[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{85}{5}[/tex]

[tex]\implies x=17[/tex]

Substitute the found value of x into Equation 2 and solve for y:

[tex]\implies x+4y=93[/tex]

[tex]\implies 17+4y=93[/tex]

[tex]\implies 17+4y-17=93-17[/tex]

[tex]\implies 4y=76[/tex]

[tex]\implies \dfrac{4y}{4}=\dfrac{76}{4}[/tex]

[tex]\implies y=19[/tex]

Conclusion

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Answer: 252 miles on nine gallons of gas.

Step-by-step explanation:

Find how many miles Rachel can travel on 1 gallon of gas by dividing 140 by 5 to get 28.

After getting 28, multiply it by 9 to get 252.

Therefore, Rachel, on nine gallons of gas, can travel 252 miles.

Hope this helped you out, dawg.

Answer: 0.10 I think

Step-by-step explanation:

i am not 100 percent sure consider looking it up

Answer:

30 points where ???

Step-by-step explanation:

Answer:

The answer is The Egyptians invented storage silos, which they used to store grains for many years.

Step-by-step explanation:

Hope this helps!! :)

Answer:

x=2/5y+2/5

Step-by-step explanation:

Answer:

x = 5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 5[tex]\sqrt{2}[/tex]

Answer: 137,00

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I got it right, Edg2020

Answer:

It's B!

Right On Edge

Step-by-step explanation:

Answer:

1.9

Step-by-step explanation:

2x+7=10.8

2x=3.8

x=1.9

1.9x2=3.8+7=10.8

The required number is 1.9, when multiply by 2 and add 7 to the product gives 10.8.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
let the number be x,
According to the question,
2x + 7 = 10.8

Simplifying the above expression,
2x = 10.8 - 7
2x = 3.8

x = 1.9

Thus, the required simplified value of the given equation model is 1.9.

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The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

Given,

Company A:

Charge for an hour =$ 70

Equipment fee = $ 150

Charge for ' t ' hours = 70 x t = 70t

Total cost = Equipment fee + charge for t hours

AA = 150 + 70t

Company B:

Charge for an hour =$ 55

Equipment fee = $ 300

Charge for 't' hours = 55 x t = 55t

Total cost = Equipment fee + charge for t hours

 BB = 300 + 55t

Now, we have to find

BB = AA

300 + 55t = 150 + 70t

300 – 150 = 70t – 55t

150 = 15t

t = 150 / 15

t = 10

That is,

The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

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Answer:

0.28 pounds

Step-by-step explanation:

Here, we want to get the weight of the calculator expressed as a decimal

Mathematically, what we have to do is to divide 7 by 25

The answer is 0.28 pounds