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3 years ago

-8=p-13. Equations with intergers

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

Answer:

p = 5

Step-by-step explanation:

-8 = p - 13

add 13 to both sides --> this cancels the -13 on the right side

13 - 8 = 5

so,

p = 5

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The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg. Find t

Rudiy27

Answer:

Correct answer: c = 29 m, a = 21 m and b = 20 m

Step-by-step explanation:

Given:

a = b + 1 longer leg a

c = b + 9 hypotenuse c

To solve this problem, we will use Pythagoras' theorem

c² = a² + b²

(b + 9)² = (b + 1)² + b²

b² + 18 b + 81 = b² + 2 b + 1 + b²

2 b² - b² + 2 b - 18 b + 1 - 81 = 0

b² - 16 b - 80 = 0 we will factorize this equation

⇒ b² - 20 b + 4 b - 80 = b (b - 20) + 4 ( b - 20) = (b - 20) · (b + 4) = 0

(b - 20) · (b + 4) = 0 ⇒ b = 20 or b = - 4 false

we accepted b = 20 m

c = b + 9 = 20 + 9 = 29 m

c = 29 m

a = b + 1 = 20 + 1 = 21 m

a = 21 m

God is with you!!!

5 0

3 years ago

Brainliest if correct

Dmitriy789 [7]

Step-by-step explanation:

$- 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735$

4 0

2 years ago

Find sin 0, where is the angle shown.<br> Give an exact value, not a decimal approximation.

Nata [24]

Answer:

$\displaystyle \sin\theta=\frac{12}{13}$

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

$\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

$a^2+b^2=c^2$

Let <em>a</em> be the adjacent side and <em>b</em> be the opposite side. <em>c</em> will be the hypotenuse.

Substitute:

$(5)^2+b^2=(13)^2$

Solve for <em>b: </em>

So, the opposite side measures 12.

Then sine will be:

$\displaystyle \sin\theta=\frac{12}{13}$

3 0

3 years ago

This problem demonstrates the concept of redundancy, the principle of improving reliability of systems by using redundant or bac

AysviL [449]

Answer:

hello,

Step-by-step explanation:

p(fail)=0.05

p(not fail)=1-0.05=0.95

p(3 fails)=0.05³=0,000125

p(1 or more system not fail)=1-0.05³=0.999875

it increase the security.( here 4/100 for 3 systems)

3 0

3 years ago

Follow the steps to find the

KIM [24]

The area of the sector rounded to 4 decimal place is 78.6396 cm²

<h3 /><h3>How to find the area of a sector?</h3>

area of sector = ∅/ 360 × πr²

Therefore,

r = radius

∅ = 46 degrees.

Hence,

area of a sector = 46 / 360 × 3.14 × 14²

area of a sector = 46 / 360 × 3.14 × 196

area of a sector = 46 / 360 × 615.44

area of a sector = 28310.24 / 360

area of a sector = 78.6395555556

Hence,

area of a sector = 78.6396 cm²

learn more on sector here: brainly.com/question/27946869

#SPJ1

6 0

2 years ago