In ΔIJK, i = 2.2 inches, j = 3.6 inches and k=5.1 inches. Find the measure of ∠K to the nearest degree.

Answer:

Midpoint = [tex](\frac{1}{2},\frac{1}{2} )[/tex]

Step-by-step explanation:

Answer:

There are 163 whiteboards undamaged.

Step-by-step explanation:

So first we know that 12 are damaged and there are 172 students. So first we need to find out how many whiteboards did you buy without knowing there will be 12 damaged. The answer is 7 because there are 25 per pack. And 7 * 25 = 175. You can't buy less because you rather buy extra rather then not enough. Now knowing that, what is 175 - 12 because 12 was damaged.

175 - 12 = 163.

There are 163 whiteboards undamaged.

163 white boards are undamaged

Step-by-step explanation:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Given;

172 Students

25 in a pack

12 whiteboards are damaged

To Find;

How many whiteboards are undamaged?

Solution;

we need 172 whiteboard but one pack consist of 25 whiteboards

⇒ 172/25 = 6.88

≈ 7 pack

Total whiteboard we buy

⇒ 7 × 25 = 175

Out of which 12 whiteboard are damaged

↓ Undamaged whiteboard ↓

→ 175 - 12 = 163 ←

thus, 163 whiteboards are undamaged

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]~

Answer:

39˚

Step-by-step explanation:

The whole thing is a right angle, and we know that because of the square thing at the top.

These two angles are complementary, so we can subtract 51 from 90.

90-51=39˚

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+\underset{\stackrel{\uparrow }{b}}{0}\implies y=-5x[/tex]

Answer:

The answer is A

Step-by-step explanation:

Answer:

its 14

Step-by-step explanation:

1.Subtract 4 from both sides of the equation

2.Simplify

3.Multiply all terms by the same value to eliminate fraction denominators

Simplify            

4.Solution

Answer:

1/3 of the boys of course

Answer:

chosse the box that is 3x3 in width and has 1 shaded in

Step-by-step explanation

Answer:

x = 52

Step-by-step explanation:

This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.

(x - 12) + 50 = 90

1. Subtract 50 from both sides of the equation.

(x - 12) = 40

2. Add 12 from both sides of the equation

x = 52

The value of x is 52.

Answer:

52°

....

....

....

....

............

Answer:

Step-by-step explanation:

A1 = 2(5 x 2) = 20

A2 = 8 x 3 = 24

total = 20 + 24

       = 44 ft²

Answer: x>5 or x<−19

Answer:

5 magazines per hour are manufactured

Answer:

40% (probability that an athlete is a football player OR a basketball player, but not both) I think this is what its asking, but the wording isn't super clear.

44% (probability an athlete is a football player, basketball player, or both)

Step-by-step explanation:

probability of only football player (21%-4%) plus probability of only basketball player (27-4%)

=17%+23%

=40%

The functions (f.g)(x) and (g.s)(x) are illustrations of composite function

The values of the composite functions are:

(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10

The equation of the functions are given as:

f(x) = 3x - 8

g(x) = -2x + 5

s(x) = 4x^2 - 9x + 2

.

The composite functions are calculated using:

(fg)(x) = f(x) * g(x)

So, we have:

(f g)(x) = (3x - 8) * (-2x + 5)

Evaluate the product

(fg)(x) = -6x^2 + 15x + 16x - 40

Evaluate the like terms

(fg)(x) = -6x^2 + 31x - 40

Also, we have:

(gs)(x) = g(x) * s(x)

So, we have:

(gs)(x) = (-2x + 5) * (4x^2 - 9x + 2)

Expand

(gs)(x) = -8x^3 + 18x^2 -4x + 20x^2 - 45x + 10

Collect like terms

(gs)(x) = -8x^3 + 18x^2 + 20x^2-4x - 45x + 10

Evaluate the like terms

(gs)(x) = -8x^3 + 38x^2 -49x+ 10

Hence, the values of the composite functions are:

(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:   [tex]w \le 3000[/tex]

w is the weight of the truck in pounds.

Since w cannot be negative, we can write [tex]0 \le w \le 3000[/tex] or we could tack on the statement "w must be positive"

The phrase "at most" means "that is the largest w can get". Think of it as the ceiling.

Answer:

b + b3

-2 + (-2×3)

-2 + (-6)

-2 - 6

= -8

Answer:

Statement:

Reason:

Step-by-step explanation:

x + 2x + 90 = 180

3x + 90 = 180

3x = 90

x = 30°

Answer:

vefgdv

Step-by-step explanation:

fsssssssssssssssssssssss

Answer:

a)Range= 25.9

b)Variance =49.344

c)Standard deviation=7.0245

Step-by-step explanation:

Data : 28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1

Maximum Value : 49.4

Minimum Value : 23.5  

Range= Maximum - Minimum

Range= 49.4 -23.5 = 25.9

(b)

[tex]Mean=\bar{x}=\frac{\sum x}{n}=\frac{309.2}{10}=30.92\\\\Variance=s^{2}=\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}=49.344[/tex]

(c) Sample standard deviation:

[tex]s=\sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=7.0245[/tex]

d)s2 using the shortcut method.

            X          [tex]X^2[/tex]

          28.6 817.96

          49.4 2440.36

          30.3 918.09

          28.2 795.24

         28.9 835.21

         26.4 696.96

        33.8 1142.44

         29.9 894.01

         23.5 552.25

          30.2 912.04

Total   309.2 10004.56

[tex]s=\sqrt{\frac{\sum x^{2}_{i}-\frac{\left ( \sum x_{i} \right )^{2}}{n}}{n-1}}\\s=\frac{10004.56-\frac{309.2^{2}}{10}}{9}\\s=7.0245[/tex]

Answer:

(f o g)(x) = -3

(g o f)(x) = 0

Step-by-step explanation:

See attached image

Hi! I hope you're enjoying your day!

Here's how we classify polynomials:

More Information:

A polynomial with 1 term is called a monomial (for example, 6d)

A polynomial with 2 terms is called a binomial (for example, 6d+ 2a)

A polynomial with 3 terms is called a trinomial (for example, 6d+2a-4s)

A polynomial with 4 or more terms is called a polynomial

(for example. 6d+2a-4s+3e-t+9k-12a)

Degree: first, second, third.. depends on the exponent.

Hence, -2 is

[tex]\boxed{\boxed{\bold{first-degree\;monomial}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if you do, feel free to use the comment section.

#LearningIsFun

Answer:

slope m = (y₂ - y₁) / (x₂ - x₁)

             = (8 - 1) / (5 - (-5))

          m = 7/10

y-intercept using slope above and anyone of given point. Let's use (-5, 1):

  y = mx + b

  1 = 7/10(-5) + b

  1 = -35/10 + b

  b = 45/10

  b = 9/2

Equation of line:

y = mx + b

y = 7/10x + 9/2

Point slope form:

y - y₁ = m(x - x₁)

y - 1 = 7/10(x - (-5))

y - 1 = 7/10(x + 5)

Answer:

a) The answer is: (x + a, y + b)

b) The answer is: (-1, -2)

The initial coordinates are:

(x, y) = (-2, -5)

Let's find a and b.

a is a distance in x direction: a = 1

b is a distance in y direction: b = 3

The final position is:

(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)

Step-by-step explanation:

[tex]\frac{53}{42}[/tex]

Calculate

[tex]\frac{3}{7}+\frac{5}{6}[/tex]

Find common denominator and write the numerators above common denominator

[tex]\frac{3\times6}{7\times6}+\frac{5\times7}{6\times7}[/tex]

Calculate the product or quotient

[tex]\frac{18}{7\times6}+\frac{5\times7}{6\times7}[/tex]

[tex]\frac{18}{42}+\frac{5\times7}{6\times7}[/tex]

[tex]\frac{18}{42}+\frac{35}{6\times7}[/tex]

[tex]\frac{18}{42}+\frac{35}{42}[/tex]

Write the numerators over common denominator

[tex]\frac{18+35}{42}[/tex]

Calculate the sum or difference

[tex]\frac{53}{42}[/tex]

[tex]-\frac{7}{5}[/tex]

Calculate

[tex]-\frac{3\times7}{15}[/tex]

Cross out the common factor

[tex]-\frac{7}{5}[/tex]

I hope this helps you

:)

If two people shared three hamburgers then each person would get one hamburger and a half. Since there are two people and three hamburgers, both people can get one hamburger and split the third. In decimal form, It would be 1.5

Answer:

The answer is 3 because 6÷2 which equal 3 which is represent the three hameburgers and 6÷2=3 because there would be 6 hamburgers to share between two people.

Step-by-step explanation:

please provide the figure. without the figure cannot find the answer

 Area of triangle = 1/2 x base x height:

78 = 1/2 x base x 9 3/4

Multiply both sides by 2:

156 = base x 9 3/4

Divide both sides by 9 3/4:

Base = 16 inches

[tex]i = \sqrt{-1}\\\\\\\sqrt{-80} = \sqrt{-1*16*5}\\\\\\\sqrt{-80} = \sqrt{-1}*\sqrt{16}*\sqrt{5}\\\\\\\sqrt{-80} = i*4*\sqrt{5}\\\\\\\sqrt{-80} = 4i\sqrt{5}\\\\\\[/tex]

It should be noted that main advantage of a credit union compared to a payday or title is that Credit unions usually offer lower interest rates than payday and title lenders.

Credit unions  serves as financial institutions, like banks, and  are nonprofit entities that aim to serve their members.

Therefore, Credit unions usually offer lower interest rates than payday and title lenders.

Learn more about credit union at;

https://brainly.com/question/2279124

Answer:

Example

[tex]3\frac23-1\frac45[/tex]

convert to improper fractions:

[tex]\dfrac{3 \times 3+2}{3}-\dfrac{1 \times 5+4}{5}=\dfrac{11}{3}-\dfrac{9}{5}[/tex]

common denominator = 3 × 5 = 15, so:

[tex]\dfrac{11}{3}-\dfrac{9}{5}=\dfrac{11\times 5}{3\times 5}-\dfrac{9\times 3}{5\times 3}=\dfrac{55}{15}-\dfrac{27}{15}[/tex]

subtract:

[tex]\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{55-27}{15}=\dfrac{28}{15}[/tex]

convert back to mixed fractions:

[tex]28 \div 15=1 \textsf{ remainder }13=1 \frac{13}{15}[/tex]

To subtract mixed fractions, we must follow the steps:

    2. Multiply the denominator and the numerator by the LCM of the                          denominators to make the denominators same.                                                  P.S: (If the denominators are the same, you can skip this step).

    3. Simplify the fractions. (The denominators do not change).

    4. (Optional) Convert the fractions to mixed fraction.

Let's take an example.

Step-1: Convert the fractions to improper fraction:

Step-2: Make the denominators same:

Step-3: Subtract:

Step-4: Convert the fraction to mixed fraction: