Why is 10^15/10^4 equal to 10^11

Answer: the one on the bottom left

Step-by-step explanation:

Let's check Pythagorean theorem

A is perpendicular

B is base

C is Hypotenuse

Answer:

[tex]3 \sqrt{17}[/tex]

Step-by-step explanation:

The given triangle is a right triangle.  Therefore, we can use Pythagoras Theorem to find the measure of the third side.

Pythagoras Theorem

  [tex]a^2+b^2=c^2[/tex]

where:

From inspection of the given triangle:

To calculate the measure of the third side "b", substitute the given values into the formula and solve for b:

[tex]\begin{aligned}a^2+b^2 & = c^2\\\implies 4^2+b^2 & = 13^2\\16+b^2 & = 169\\16+b^2-16 & = 169-16 \\b^2 & = 153\\\sqrt{b^2} & =\sqrt{153}\\b & = \sqrt{9 \cdot 17}\\b & = \sqrt{9}\sqrt{17}\\b & = 3\sqrt{17}\end{aligned}[/tex]

Therefore, the measure of the third side of the given right triangle in simplest radical form is  [tex]3 \sqrt{17}[/tex].

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Answer:

8.80 if it's the 40°/.

2.20 if it's the 10°/. processing fee

13.20 for how much he paid

Step-by-step explanation:

total no of items (n)= 5

median (m) = (n+1)/2 th item

= (5+1)/2 th item

= 6/2 th item

= 3rd item

= 152152152

Step-by-step explanation:

to add 8% the simplest operation is to multiply the basic amount by 1.08.

so,

£9.45 = original price × 1.08

original price = £9.45/1.08 = £8.75

the price before the increase was £8.75.

Answer:

-33

Step-by-step explanation:

-17and den u add &16 together soon u have to additional into get -33

The value of the addition of the numbers 7.8+917.62 will be 925.42.

The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.

The addition of the numbers will be done as:-

917.62

 +7.80

925.42

First, arrange the number one to another then add from the unit places you will get your answer.

So the addition of the numbers will be 925.42

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Answer:

vertex = (4, - 37 )

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 2x² - 16x - 5 ← factor 2 out of the first 2 terms

    = 2(x² - 8x) - 5

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

f(x) = 2(x² + 2(- 4)x + 16 - 16) - 5

    = 2(x - 4)² - 32 - 5

   = 2(x - 4)² - 37 ← in vertex form

with vertex = (4, - 37 )

Kim's method of sampling the students in the given scenario is said to; It is not a random survey.

Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.

In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.

Now, Kim's method is not random because it is biased as only those who came earliest were asked.

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Answer:

3

Step-by-step explanation:

Using Pythagoras formula

h^2 = (root under) p^2 +b^2

or, h^2= 20^2 + 21^2

or, h^2= 400+441

or, h^2= 841

or, h= (root under) 841

Therefore h= 29

Now,

Perimeter of a triangle= a+b+c

= 20+21+29

=70

Answer:

x=3

Step-by-step explanation:

X^2*x^3 → x^5

x^5 = 243 means x = 3

Answer:

The number is 3.

Step-by-step explanation:

Let "The square of the number" be x^2.

Let "the cube of the same number" be x^3.

"product" means multiplication.

x^2 • x^3 = 243

Multiply. To multiply, add the exponents.

x^5 = 243

Take the 5th root of both sides. You can do this on many scientific calculators with a x^y button. Or raise 243^ (1/5)

1/5 power is the same as 5th root.

You might do it in your head by thinking "what number to the 5th power is 243"

x = 3

Check 3^5 = 243

also

3^2 • 3^3 = 43

9 • 27 = 243

243 = 243 check

The sale the company must make and sell to break even is;

B=600

Generally, the equation for the break even  is mathematically given as

In conclusion

B=y vertex/price of each

Therefore

B=15600/26

B=600

In conclusion, the company's  break even is

B=600

CQ

A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a  y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?

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Answer:

600

Step-by-step explanation:

Answer:

Corresponding

Step-by-step explanation:

So, we know that 1&2, 3&4, 5&6, and 7&8 all equal 180 degrees in their pairs. 7&3 are corresponding angles that are less than 90 degrees on their own. We don't know the degrees of each angle, so we can't say their exact angle.

(I know I didn't give the second answer, if you elaborate, maybe I can understand what it's asking better)

Hope this helped!

Answer:

-> Corresponding

-> Are equal

Explanation:

        First, we will find where angles 3 and 7 are at. See attached. Since they are in corresponding places on both lines, these angles are corresponding angles.

        We know that corresponding angles have the same measurement, so their measures will be equal, or in other words, congruent.

Assuming that L and d are known numbers, we can write.

[tex]W = \frac{49d + 91}{L}[/tex]

Remember that for a rectangle of width W and length L, the area is given by:

A = L*W

In this case, the area is 49d + 91, and the length is a known number, so we know the value of L.

Then we can write:

A = L*W =  49d + 91

To get the value of W, we need to isolate it on one side of the equation.

We can do that by dividing both sides by L.

[tex]W = \frac{49d + 91}{L}[/tex]

We assume that d and L are known, so with the above rational expression, we have W totally determined.

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Answer:

8 inches.

Step-by-step explanation:

3 1/4 + 4 3/4

= 3 + 4 + 1/4 + 3/4

= 7 + 4/4

= 7 + 1

= 8 inches.

Answer:

The child grew 8 inches

Step-by-step explanation:

Step 1:  Convert to improper fractions

[tex]3\frac{1}{4}[/tex]

[tex]\frac{1+(3*4)}{4}[/tex]

[tex]\frac{1+12}{4}[/tex]

[tex]\frac{13}{4}[/tex]

[tex]4\frac{3}{4}[/tex]

[tex]\frac{3+(4*4)}{4}[/tex]

[tex]\frac{3+16}{4}[/tex]

[tex]\frac{19}{4}[/tex]

Step 2:  Combine the fractions

[tex]\frac{13}{4}+\frac{19}{4}[/tex]

[tex]\frac{13+19}{4}[/tex]

[tex]\frac{32}{4}[/tex]

[tex]8[/tex]

Answer:  The child grew 8 inches

Part A

I'm assuming you want the area of a circle with radius 17 yards.

We'll use the formula below

A = pi*r^2

A = (22/7)*17^2

A = (22*17^2)/7

A = 6358/7

A = 908  2/7

The sprinkler covers an area of about 908  2/7 square yards.

You'll type 908 in the left-most box

Then for the other two boxes, you'll have 2 up top and 7 down below to represent the fraction 2/7

The number 908  2/7 is a mixed number.

=======================================================

Part B

You mentioned that the radius reduces to 11 yards here. We'll use the same formula as above and pi = 22/7 approximately

A = pi*r^2

A = (22/7)*11^2

A = (22*11^2)/7

A = 2662/7

A = 380  2/7

The sprinklers can water an area of about  380  2/7  square yards.

This value is also a mixed number

380 is the value in the left most box (it's the whole part)

The other two boxes are filled out the same exact way as the previous part above.

Answer: The graph with green line is the graph showing a 1 radian angle in a standard position.

Step-by-step explanation:

Hope it helps you:)))))))

Have a good day

Answer:

answer is 9/16 (9 over 16) Decimal form 0.5625

Step-by-step explanation:

Answer:

y=24/x

Step-by-step explanation:

An inverse proportion with a positive input and output always has a "fraction format"

12=24/2

12=12

y=24/1

y=24

The y-value for x=1 was higher than the y-value for x=2, that proves that it's inverse.

The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In the image attached below:

The measure of the angle A is,

[tex]m\angle A=71^o[/tex]

The measure of the angle C in a semicircle is,

[tex]m\angle C=90^o[/tex]

The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,

[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]

Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

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Answer:

Answer(s):

1x4

2+2

2x2

Step-by-step explanation:

Hope this helps!

Using the together rate, it is found that the value that must be discarded is given by x = -9.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}[/tex]

[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]

[tex]x^2 + 18x = 80x + 720[/tex]

[tex]x^2 - 72x - 720 = 0[/tex]

Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:

[tex]\Delta = (-72)^2 - 4(1)(-720) = 8064[/tex]

[tex]x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9[/tex]

[tex]x_2 = \frac{72 - \sqrt{8064}}{2} = -9[/tex]

They cannot have a negative rate, hence the value that must be discarded is given by x = -9.

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Answer:

X = -10

Step-by-step explanation:

PLATO

Answer:C

Step-by-step explanation:

The statement which is true is C. The zeros are 10 and -2, because the factors of g are (x-10) and (x+2).

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a function,

g(x) = x² - 8x - 20

We have to factorize the expression in order to find the zeroes.

Using factorization method, we can say that, the given function can be factorized (x + p) (x + q) as  there exists two numbers p and q such that pq = -20 and p + q = -8

Two such numbers are -10 and 2.

So,

g(x) = x² - 8x - 20

g(x) = (x - 10) (x + 2)

So the zeroes are x = 10 and x = -2.

Hence the zeroes are 10 and -2.

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Answer:

x = 164.10

Step-by-step explanation:

translated question says :

200.50 + 4x = 856.90

4x=656.40

x = 164.10

Answer: 210 advanced tickets were sold. 130 same day tickets were sold.

Step-by-step explanation:

x= advanced tickets y=same day tickets

2x+3y=810 this equation represents the money

x+y=340 this equation represents the total number of tickets

x+y=340

-x     -x

y=-340-x             2x+3(340-x)=810               210+y=340

                           2x+1020-3x=810               -210     -210      

                           -x+1020=810                       y=130

                               -1020  -1020

                                 -x=-210

                                 -1     -1

                                  x=210              

Answer:

[tex]\frac{34}{40}[/tex]

Step-by-step explanation:

The dot plot with the least variability will be C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

The dot plot with the least variability will be C.

The graph is given below.

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Answer:

24 units

Step-by-step explanation:

I really don't understand this, except for the fact that i found a workbook that has an answer with no work

hope this helps?:)