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bija089 [108]
2 years ago
6

C 10 mm 24 mm What is the length of the hypotenuse?

Mathematics
1 answer:
kompoz [17]2 years ago
5 0

Answer:

26

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

so, c = √(a² + b²)

10² + 24² = 676

√676 = 26

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Write the square of the binomial as a polynomial: (-1 1/3p + 6q)^2
Thepotemich [5.8K]

Answer:

\frac{16}{9}p² -16pq + 36q²

Step-by-step explanation:

Given

(- \frac{4}{3}p + 6q)²

= (- \frac{4}{3}p + 6q)(- \frac{4}{3}p + 6q)

Each term in the second factor is multiplied by each term in the first factor, that is

- \frac{4}{3}p(- \frac{4}{3}p + 6q) + 6q(- \frac{4}{3}p + 6q)

= \frac{16}{9}p² - 8pq - 8pq + 36q² ← collect like terms

= \frac{16}{9}p² - 16pq + 36q²

5 0
3 years ago
What is the approximate distance from Denver to Chicago? Use a proportional relationship to solve the problem. Show your work.
Juli2301 [7.4K]

Answer:

d = 1002.6\,mi

Step-by-step explanation:

Approximately 5 units are equal to 557 miles and the scaled distance between Denver to Chicago is 9 units. The real distance can be estimated by simple rule of three:

d = \frac{9}{5}\times (557\,mi)

d = 1002.6\,mi

7 0
3 years ago
What is -(5x+6)-x=-6-6x
Veronika [31]

Answer: All real numbers are solutions.

Step-by-step explanation:

<u>Let's solve your equation step-by-step.</u>

−(5x+6)−x=−6−6x

<u>Step 1: Simplify both sides of the equation.</u>

−(5x+6)−x=−6−6x

−5x+−6+−x=−6+−6x(Distribute)

(−5x+−x)+(−6)=−6x−6(Combine Like Terms)

−6x+−6=−6x−6

−6x−6=−6x−6

<u>Step 2: Add 6x to both sides.</u>

−6x−6+6x=−6x−6+6x

−6=−6

<u>Step 3: Add 6 to both sides.</u>

−6+6=−6+6

0=0

8 0
3 years ago
Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Ludmilka [50]
Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%
3 0
3 years ago
Simplify: -10 - 90x + 6x - 60
antoniya [11.8K]

<u><em>Answer:</em></u>

- 84x - 70

<em><u>Step-by-step explanation:</u></em>

We want to combine like terms:

-10 - 90x + 6x - 60

We can see (-10) and (-60) are both regular constants so:

- 10 - 60 = - 70

Then (-90x) and (+ 6x):

6x - 90x = - 84x

- 84x - 70

4 0
3 years ago
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