Quadrilateral ABCD is a square. What is the length of AC?

Select the best answer from the choices provided.
A. 11
B.15.556
C.19.052
D. 22

Answer:

450

Step-by-step explanation:

The total is 100 %

20% + 35% +15% = 70%

100-70 = 30

He saves 30%

1500 * 30%

1500 *.30

450

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

Answer:

20,000 pairs of barber scissors.

Step-by-step explanation:

The sales volume V for barber scissors is directly proportional to the size S of the sales force and inversely proportional to the price P of the scissors.

In other words, we can write that:

[tex]\displaystyle V = \frac{kS}{P}[/tex]

Where k is the constant of proportionality.

19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, V = 19440 when S = 54 and P = 20. Substitute and determine the value of k:

[tex]\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200 \end{aligned}[/tex]

Hence, our equation is:

[tex]\displaystyle V = \frac{7200S}{P}[/tex]

We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, S = 50 and P = 18:

[tex]\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}[/tex]

In conclusion, 20,000 pairs of barber scissors can be expected to be sold.

Answer:

-8

Step-by-step explanation:

72 ÷ 9 = 8

The fish are being taken out, so negative.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

It is a dependent event, because it depends of the number she'll get rolling the die

Based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.

Angle 7 and angle 8 are complementary [given]

Angle 5 and angle 6 will also be complementary

Angle 5 ≅ angle 8 [given]

Angle 7 will also be congruent to angle 6

Measure of angle 6 = 29° [given]

Measure of angle 7 = 29°

Measure of angle 5 + measure of angle 6 = 90 degrees

Substitute

Measure of angle 5 + 29° = 90°

Measure of angle 5 = 90° - 29°

Measure of angle 5 = 61°

Therefore, based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

Learn more about complementary angles on:

https://brainly.com/question/16281260

#SPJ1

Answer:

16

Step-by-step explanation:

50÷3=16R2

Second largest multiple of 3 that is smaller than 50=45

45÷3=15 groups of 3 people each

50-45=5

         =1 group of 5 people

Greatest possible number of groups=15+1

                                                            =16

Answer:

#3. a non-terminating and non-repeating

Step-by-step explanation:

6.55743... never ends and it never repeats either

Answer:

Not terminating but doesn't repeat either

Step-by-step explanation:

Answer:

y = mx+ b

m=slope

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Slope-intercept form: y = mx + b

By comparing the formula to the equation given, it is clear the slope of the line is -1/2.

Answer:

yes their size is medium

Answer:

x = 3

Step-by-step explanation:

2x + 5x - 4 = 17      (Given)

7x - 4 = 17              (Simplify)

7x - 4 + 4 = 17 + 4  (Add 4 on both sides)

7x = 21                   (Simplify)

7x/7 = 21/7             (Divide 7 on both sides)

x = 3                      (Simplify)

p = 0

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

Answer:

[tex]\frac{31}{-8n}[/tex]

Step-by-step explanation:

Overall, the expression is a quotient, and you're dividing 31 by whatever the product is of -8 and an unknown number (a variable). The product of -8 and a number means you multiply them together

Answer:

C, F

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

you do 2 times 3 because you 2 miles is only 1/3 and you want do get the answer for an hour so 2/3 is 6

Answer:

6 miles

Step-by-step explanation:

If emma jogs at a constant rate she will travel 6 miles in 1 hour.

1/3 of an hour times 3 equals 1 hour and the 2 miles every 1/3 times 3 will be 6

hope it helps

Answer:

a = 1,450,000

b = 290,000

Step-by-step explanation:

A: 1,740,000 = x*1.20

1,740,000/1.2 = x1.20/1.20

1,450,000 = x

B: 1,740,000 - 1,450,000 = 290,000

Answer:

Step-by-step explanation:

The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).

I have put a graph in so that you can see the shifts for yourself.

The red line is g(x) = x^4

The blue line is f(x) = (x - 9)^4 - 3

Answer:

5/6

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

Answer:  0.83

Step-by-step explanation: 1/2-(-1/3)= 5/6: Decimal form is 0.83

Step-by-step explanation:

2f - 3(4f - 5g) + 5g +7fg

multiply the 3 in

2f - 12f - 15g + 5g + 7fg

add or subtract common terms

-10f -10g +7fg will be your final answer

Answer:

Step-by-step explanation:

As the question did not say how to 'solve the question', I would assume it will be to simplify the equation, as there is no way of solving an expression without an answer.

Simplify:

2f - 3(4f-5g) + 5g +7fg

Get rid of the parentheses

2f - 12f - 15g + 5g +7fg

Simplify similar expressions

-10f - 10g + 7fg

Therefore, 2f - 3(4f-5g) + 5g +7fg simplified is equal to -10f - 10g + 7fg.

Answer:

Step-by-step explanation:

f(x) = (x - 2)(x - 5)x(x+ 7)

f(x) = (x^2 - 7x + 10)*x * (x + 7)

f(x) = x(x^3 - 39x + 70)

f(x) = x^4 - 39x^2 + 70x

To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.

Answer:

There’s not

Step-by-step explanation:

It’s 618

Answer:

your answer is -2

I hope it's helps you

Answer:

[tex]8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2[/tex]

I hope it helped U

stay safe stay happy

Answer: 76 mph

Step-by-step explanation: speed is distance divided by time so 475 : 6.25 = 76 (mph)

Answer:

76 mph

Step-by-step explanation:

To find the answer, you would divide the miles she drove: 475 by the amount of time it took to get there: 6 1/4 hours. Convert the fraction to a decimal: 1/4= .25 so your problem would look like this...

475 / 6.25 = 76

Answer:

-4

Step-by-step explanation:

you would subtract m from both sides to get -4=m

Answer:

false.

Step-by-step explanation:

just cause you move a decimal point to the left dosent mean its positive.

Answer:

0

Step-by-step explanation:

3 + (-11) + 8

3 - 11 + 8

-8 + 8

0

Answer:

0

Step-by-step explanation:

As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.

That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.

I’m sorry about that. I never would have imagined myself choosing those two over you.

I’m gonna die soon,

but I’ll die without regrets.

Or that’s what I’d like to say.

Truth is, I do have one.

It's that I never got to marry you...

With love, Ymir.

There seems to be one character missing. But I gather that f(x) needs to satisfy

• [tex]x^3[/tex] divides [tex]f(x)[/tex]

• [tex](x-1)^3[/tex] divides [tex]f(x)^2[/tex]

I'll also assume f(x) is monic, meaning the coefficient of the leading term is 1, or

[tex]f(x) = x^5 + \cdots[/tex]

Since [tex]x^3[/tex] divides [tex]f(x)[/tex], and

[tex]f(x) = x^3 p(x)[/tex]

where [tex]p(x)[/tex] is degree-2, and we can write it as

[tex]f(x)=x^3 (x^2+ax+b)[/tex]

Now, we have

[tex]f(x)^2 = \left(x^3p(x)\right)^2 = x^6 p(x)^2[/tex]

so if [tex](x - 1)^3[/tex] divides [tex]f(x)^2[/tex], then [tex]p(x)[/tex] is degree-2, so [tex]p(x)^2[/tex] is degree-4, and we can write

[tex]p(x)^2 = (x-1)^3 q(x)[/tex]

where [tex]q(x)[/tex] is degree-1.

Expanding the left side gives

[tex]p(x)^2 = x^4 + 2ax^3 + (a^2+2b)x^2 + 2abx + b^2[/tex]

and dividing by [tex](x-1)^3[/tex] leaves no remainder. If we actually compute the quotient, we wind up with

[tex]\dfrac{p(x)^2}{(x-1)^3} = \underbrace{x + 2a + 3}_{q(x)} + \dfrac{(a^2+6a+2b+6)x^2 + (2ab-6a-8)x +2a+b^2+3}{(x-1)^3}[/tex]

If the remainder is supposed to be zero, then

[tex]\begin{cases}a^2+6a+2b+6 = 0 \\ 2ab-6a-8 = 0 \\ 2a+b^2+3 = 0\end{cases}[/tex]

Adding these equations together and grouping terms, we get

[tex](a^2+2ab+b^2) + (2a+2b) + (6-8+3) = 0 \\\\ (a+b)^2 + 2(a+b) + 1 = 0 \\\\ (a+b+1)^2 = 0 \implies a+b = -1[/tex]

Then [tex]b=-1-a[/tex], and you can solve for a and b by substituting this into any of the three equations above. For instance,

[tex]2a+(-1-a)^2 + 3 = 0 \\\\ a^2 + 4a + 4 = 0 \\\\ (a+2)^2 = 0 \implies a=-2 \implies b=1[/tex]

So, we end up with

[tex]p(x) = x^2 - 2x + 1 \\\\ \implies f(x) = x^3 (x^2 - 2x + 1) = \boxed{x^5-2x^4+x^3}[/tex]

Answer:

Answer:

[tex] {x}^{ \frac{1}{2} } \times {x}^{ \frac{2}{3} } [/tex]

[tex] {x}^{ \frac{3 + 4}{6} } [/tex]

[tex] {x}^{ \frac{7}{6} } [/tex]