whats 20 x 213 =? REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

1

Step-by-step explanation:

(1+sinx)/cosx

(1+sin0)/cos0

(1+0)/1

1/1

1

:. Lim x->0 =1

Answer:

The answer is 660.4 millimeters in diameter.

Step-by-step explanation:

The wheel is 26 inches in diameter. An inch is 25.4 millimeters. 26 * 25.4 = 660.4

Answer:

A) 30°

Step-by-step explanation:

Sum of three angles of a triangle = 180°

75° +75° + ∠WYZ = 180°

Add like terms

150° + ∠WYZ  = 180°

Subtract 150°from both sides

∠WYZ = 180 - 150

∠WYZ = 30°

Answer:

  √8106

Step-by-step explanation:

8106 = 2·3·7·193

It has no square factors, so the radical cannot be simplified further.

Answer:

145 feet.

Step-by-step explanation:

Given that:

An underwater canyon begins at depth = 40 ft

Depth of canyon = 105 ft

To find:

The elevation of the bottom of the canyon = ?

Solution:

Kindly refer to the image attached for the given dimensions.

A is the sea level.

B is the point at which the canyon starts and

C is the bottom of the canyon.

As per question statement, we are given that:

AB = 40 feet

BC = 105 feet

And we have to find the distance AC = ?

It is clearly observable that:

[tex]AC = AB + BC\\\Rightarrow AC = 40 + 105\\\Rightarrow \bold{AC = 145 ft}[/tex]

So, the elevation of the bottom of the canyon is 145 ft.

Answer:

-96+24= -72   or just -72

Step-by-step explanation:

4(-24+6)

-96+24= -  72

put the values of x,y and z

4(-24+6)

4(-18)

= -72

Answer:

[tex]3 \sqrt 5}[/tex]  and [tex]-3 \sqrt 5}[/tex]

Step-by-step explanation:

Given

[tex]x^2 = 45[/tex]

Required

Determine the values of x

[tex]x^2 = 45[/tex]

Take square root of both sides

[tex]\sqrt{x^2} = \±\sqrt{45}[/tex]

[tex]x = \±\sqrt{45}[/tex]

Expand 45 as 9 * 5

[tex]x = \±\sqrt{9 * 5}[/tex]

Split the square root

[tex]x = \±(\sqrt{9} *\sqrt 5}[/tex]

[tex]x = \±3 *\sqrt 5}[/tex]

[tex]x = \±3 \sqrt 5}[/tex]

This can be further split to:

[tex]x = 3 \sqrt 5}[/tex] or [tex]x = -3 \sqrt 5}[/tex]

Hence, the possible values of x are

[tex]3 \sqrt 5}[/tex]  and [tex]-3 \sqrt 5}[/tex]

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (5-8)/(-8 - -5)

    = -3/(-8+5)

    = -3/-3

   = 1

Answer:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given a spinner with 3 equally spaced colors Red, Blue, Yellow.

The colors are equally spaced, therefore probability of each color must be same.

i.e. Probability of occurrence of any one color in one spin is [tex]\frac{1}{3}[/tex].

To find:

Probability that spinner will stop one green in first spin and yellow in the second spin = ?

Solution:

As all the colors are equally likely to occur, so

Probability of green color in the first spin, P(G) = [tex]\frac{1}{3}[/tex]

Probability of yellow color in the second spin, P(Y) = [tex]\frac{1}{3}[/tex]

As we can observe that occurrence of any color in the second round of spin is not dependent on the color occurrence in the first spin, therefore these are the independent events.

P(G and Y) = P(G) [tex]\times[/tex] P(Y)

[tex]\Rightarrow P(G\ and\ Y) = \dfrac{1}{3} \times \dfrac{1}{3}\\\Rightarrow P(G\ and\ Y) = \bold{\dfrac{1}{9}}[/tex]

Therefore, the required probability is

[tex]\dfrac{1}{9}[/tex].

Answer:

true

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

-3i(4-2i)?

-61

0-6-12i

-12-6i

An expression that is equivalent to -3i(4 - 2i) is: B. -6 - 12i.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Note: i² is equal to -1 and i is equal to [tex]\sqrt{-1}[/tex].

By applying the distributive property of multiplication to the given expression, we have:

-3i(4 - 2i) = -3i(4) + 3i(2i)

-3i(4 - 2i) = -12i + 6(-1)

-3i(4 - 2i) = -12i - 6.

-3i(4 - 2i) = -6 - 12i.

Read more on expression here: brainly.com/question/16729936

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Answer:

quadrant 1

Step-by-step explanation:

both of them are positive

Answer:

Quadrant I

Step-by-step explanation:

Since x is greater than zero and y is greater than zero, that means the point (x, y) is to the right and above the origin.  Hence, the first quadrant.

Cheers.

Answer:

[tex]AB \approx 70.7[/tex]

Step-by-step explanation:

This is a right triangle.

We have sides:

[tex]BC=52[/tex]

[tex]AC=48[/tex]

In order to find the other side, you can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

as 'c' equal to the hypotenuse and, 'a' and 'b' are legs or cathetus.

For this triangle,

[tex]AC^2+BC^2=AB^2[/tex]

[tex]48^2+52^2=AB^2[/tex]

[tex]2304+2704=AB^2[/tex]

[tex]AB=\sqrt{5008}=4\sqrt{313}[/tex]

[tex]AB \approx 70.7[/tex]

Answer:

Alphabet J

Step-by-step explanation:

Given

Alphabet: A - Z

Required

Determine which alphabet is at the 10 millionth position

Represent the number of alphabets with n

n = 26

To get the alphabet at the required position, we have to divide 10 million by 26 and note down the remainder

[tex]\frac{10000000}{26} = 384615\ R\ 10[/tex]

The division gives, 384615 remainder 10

This implies that, the alphabet at the 10th position is the same alphabet at the 10 millionth position;

And this alphabet is J

Answer:

y = -x + 10

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (11 - 9)/(-1 - 1)

m = 2/-2

m = -1

y = -x + b

Step 2: Find y-intercept b

9 = -(1) + b

9 = -1 + b

b = 10

Step 3: Rewrite linear equation

y = -x + 10

Answer:

[tex]y=\frac{5}{3}x-5[/tex]

Step-by-step explanation:

Slope-intercept:

[tex]y=mx+b[/tex]

m is the slope and b is the y-intercept. We know that the line passes through the y-axis at -5, so this is the y-intercept (where x is equal to 0). Insert this into the equation:

[tex]y=mx-5[/tex]

With the given information, we can form two points:

[tex](3,0)(0,-5)[/tex]

The first one is the x-intercept and the second the y-intercept. Use these to find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis, otherwise known as the slope. Insert the appropriate values:

[tex](3_{x1},0_{y1})\\(0_{x2},-5_{y2})\\\\\frac{-5-0}{0-3}[/tex]

Solve:

[tex]\frac{-5-0}{0-3}=\frac{-5}{-3}[/tex]

Note that both the numerator and denominator are negatives. Two negatives make a positive, so:

[tex]\frac{5}{3}[/tex]

The slope is [tex]\frac{5}{3}[/tex]

Insert into the equation:

[tex]y=\frac{5}{3}x-5[/tex]

:Done

Answer:

11/5

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (5 - -6)/(-4 - -9)

    = (5+6)/( -4+9)

   = 11/5

Let's find the slope using the graphing method.

First set up a coordinate system like I have done below.

Now, graph each ordered pair.

Let's call (-9, -6) point A and (-4, 5) point B.

Now remember that the slope or m is equal

to the rise over run from point A to point B.

To get from point A to point B, we rise 11 units and run 5 units.

So our slope is 11/5.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 90 inches

The statement

The length of a rectangle is five inches more than four times it’s width is written as

l = 5 + 4w

Substitute this expression into the above formula and solve for the width

That's

90 = 2(5 + 4w) + 2w

90 = 10 + 8w + 2w

10w = 90 - 10

10w = 80

Divide both sides by 10

w = 8

Substitute this value into l = 5 + 4w

That's

l = 5 + 4(8)

l = 5 + 32

l = 37

Therefore we have

Hope this helps you

Answer:

assosiative property

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

Answer:

The question is not complete, below is the complete question:

A fastpitch softball player signs a six-year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain

Yearly Salary: $20.000. Bonus for each game that attracts 100+ fans: $8.000.

Answer:

on average, the pitcher expects to earn 18.3 bonuses per year

Step-by-step explanation:

Total amount earned over the next 6 years = $1,000,000

salary per year = $20,000

salary for the next 6 years = 20,000 × 6 = $120,000

Next, let us calculate the amount earned from bonuses:

Total amount earned = amount earned from salaries + amount earned from bonuses

$1,000,000 = 120,000 + Amount earned from bonuses

Amount earned from bonuses = 1,000,000 - 120,000

Amount earned from bonuses = $880,000

Total bonus amount earned over six years = $880,000

Amount of bonus earned per game = $8,000

Number of bonuses received over the next 6 years = (Total bonus earned over six years) ÷ (Amount of bonus earned per game)

Number of bonus received over the next 6 years = 880,000 ÷ 8,000

Number of bonus received over the next 6 years = 110 bonuses

6 years = 110 bonuses

1 year = 110 ÷ 6 = 18.33 bonuses

on average, the pitcher expects to earn 18.3 bonuses per year

Answer:

Following are the relevant factors about cross-cultural research

Step-by-step explanation:

The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.

Answer:

A had 22 mangoes, B had 26 mangoes

Step-by-step explanation:

We can write the following system:

A + 10 = 2(B - 10) -- Equation 1

3(A - 10) = B + 10 -- Equation 2

A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)

3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)

3(2B - 40) = B + 10

6B - 120 = B + 10

5B = 130

B = 26 -- (Solve for B in Equation 4)

A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)

Answer:

Cups of water she needs to make the punch is 12.

Step-by-step explanation:

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups which equals 12 cups.

So it is 12 cups.

Cups of water she needs to make the punch is 12.

A unit conversion expresses the same property as a different unit of measurement.

Given that, Carson needs 3 quarts of water to make fruit punch, but has only an l-cup measuring cup.

She knows there are 2 cups in 1 pint, and 2 pints in 1 quart.

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups, which equals 12 cups.

Hence, she need 12 cups.

For more references on unit conversion, click;

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Answer:

$5952

Step-by-step explanation:

By the Federal Insurance Contributions Act which is a U.S. payroll tax meant to fund Medicare and Social Security, the FICA tax is shared among the employer and the employee whereby the employers share is 7.65% of the employees gross income and the employees share is also 7.65% of their gross income with 6.2% being for social security and 1.45% being for Medicare.

Louise Gaines, therefore will have 6.2% of $96,000 or  $96,000 × 0.062 = $5952 withheld for the period.

Answer: Hi!

4.89 * 2.2 = 10.758 (rounded is 10.76 or 10.8)

Tip: Line up the terms vertically and multiply.

Hope this helps!

Answer:

$-48

Step-by-step explanation:

(-125 + -86 +54 +-35)/4 = -48

Add all the Profits/losses and divide by the number of weeks.

Answer:

C) Both

Step-by-step explanation:

The given equation is:

[tex]0=(3x+2)(x-4)[/tex]

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

[tex](3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}[/tex]

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply [tex](3x+2)(x-4)[/tex] i.e. [tex]3x^2-12x+2x-8[/tex] = [tex]3x^2-10x-8[/tex]

So, the equation becomes:

[tex]0=3x^2-10x-8[/tex]

Comparing this equation to standard quadratic equation:

[tex]ax^2+bx+c=0[/tex]

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}[/tex]

The answer is same from both the approaches.

So, the correct answer is:

C) Both

Answer:

Both

Step-by-step explanation:

Answer:

The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.

Answer:

infinitely many

Step-by-step explanation:

well if you think about it in a 3D plane

we can make to planes intercept at a line

and we can make another plane that another plane interceptes the other to planes in the same line

and another

and another

...

so we can have three points in the line (collinear) that the planes intercept and we are done