MATHEMATICS MIDDLE SCHOOL

In this diagram, what is ac?

Answers

Answer 1

Answer:

Answer:

AC = 10 units .

Step-by-step explanation:

Given : Triangle ABC.

To find : What is AC.

Solution : We have given Triangle ABC.

Triangle BCD is right angle triangle .

By the Pythagorean theorem :

$(BC)^(2) = (BD)^(2) + (CD)^(2)$ .

Plug the values .

$(17)^(2) = (BD)^(2) + (8)^(2)$ .

289 = $(BD)^(2) + 64$ .

On subtractin g 64 from both sides.

289 - 64 = $(BD)^(2)$ .

225 = $(BD)^(2)$ .

Taking square root .

BD = $√(225)$ .

BD 15 units .

AB = AD+ BD

21 = AD + 15

AD = 21 -15

AD = 6 units .

Now , Triangle ACD is right angle triangle .

$(AC)^(2) = (6)^(2) + (8)^(2)$ .

$(AC)^(2) = 36 +64$ .

$(AC)^(2) = 100$ .

Taking square root

AC = 10 units .

Therefore, AC = 10 units .

Answer 2

Answer:
$\sqrt{17 {}^(2) { - 8}^(2) } = 15 \n 21 - 15 = 6 \n \sqrt{8 { }^(2) } + √(6 ) {}^(2) = 10 \n c.10$

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Ann needs 42 feet of fabric to make a small quilt. How many yards of fabric should she buy? A. 13 yards B. 14 yards C. 21 yards D. 126 yards

Answers

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Dr. Piegan treated 440 dogs. The percentage of obese dogs increased from 52.5 percent in 2010 to 55.0 percent in 2011. What was the percent increase?

Answers

Well, the formula for finding percent change is $(amount of change)/(original amount)$ . So, the amount of change is 2.5 and original amount is 52.5. Then, to get the percent increase, you divide 2.5 by 52.5 which is 0.047619048. You multiply by 100 since its percent and get 4.7619048. But you should probably round to the nearest tenth ≈ 4.8%.

What are the two numbers and how did you figure it out?

Answers

do those 2 equaiton you did
minus x on top

y=10-x
sub for y
x(10-x)=12
distribute
10x-x^2=12
minus (10x-x^2) both sides
0=x^2-10x+12

use quadratic formula
in form
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

a=1
b=-10
c=12
x= $\frac{-(-10)+/- \sqrt{(-10)^(2)-4(1)(12)} }{2(1)}$
x= $(10+/- √(100-48) )/(2)$
x= $(10+/- √(52) )/(2)$
x= $(10+/- 2√(13) )/(2)$
x= $5+/- √(13)$

x= $(5+ 2√(13) )/(2)$ or $(5- 2√(13) )/(2)$

aprox

x=1.39445 or 8.60555
those are the 2 numbers since x and y can switch

I would make a list of the factors of 12. 1 and 12; 2 and 6; 3 and 4. However none of these add to 10. I would talk to a teacher about this one, since none of the answers are apparent at the moment. I will keep working.

Why did the picture go to jail

Answers

Because it was framed.

Because it was Framed

What is an area of a unfolded box bottom?

Answers

It's the product of the length and width of the box.

The bottom has a height of 5, and a length of 30, so multiply and you get 150. Easier if I posted the answer.

Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?

Answers

The graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

We have a polynomial function:

f(x) = x⁴ + x³ – 8x² – 12x

First, find the roots or zeros of the polynomial.

Using the factorization method:

We can write the above polynomial as:

f(x) = x(x³ + x² - 8x - 12)

f(x) = x(x + 2)(x + 2)(x - 3)

f(x) = x(x + 2)²(x - 3)

The zeros are:

x = 0

x = -2

x = 3

Thus, the graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ6

Answer: 2

Step-by-step explanation:

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