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1 year ago

Given two of the side lengths, check all possible lengths for the third side. 15 ft and 27 ft

1 answer:

6 0

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side; then:

15 + 27 = 42; 27 − 15 = 12. Therefore, third side must be less than

42 ft ant greater than 12 ft; so, possible lenghts for third side is given by the inequality: 12 < x < 42.

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John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the

lora16 [44]

Answer:

D) 0.1250

Step-by-step explanation:

Let P(J) = Probability of John to purchase 0 books

Let P(B) = Probability of Beth to purchase 0 books

P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.

Since the decisions to purchase books are two independents events,

P(J∩B) = P(J) * P(B)

P(J) = 0.5

P(B) = 0.25

P(J∩B) = 0.5 * 0.25

P(J∩B) = 0.125

8 0

2 years ago

Write the equation of a line that is parallel to 3x+2y=10 and passes through the point (4,-5). Answer in slope-intercept form.

SCORPION-xisa [38]

The equation of line is:

$y = \frac{-3}{2}x+1$

Further explanation:

The standard form of equation in point-slope form is:

$y = mx+b$

Given equation is:

3x+2y=10

We have to convert it into point slope form, for which we have to isolate y on one side of equation

$3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5$

Comparing with standard form:

m = -3/2

As the new line is parallel to given line, their slopes will be equal

So,

$y = \frac{-3}{2}x+b$

To find the value of b, putting the given point (4,-5) in equation

$-5 = \frac{-3}{2}(4)+b\\-5 = -6+b\\b = -5+6 \\b = 1\\So\ the\ equation\ is:\\y = \frac{-3}{2}x+1$

Keywords: Point-slope form, equation of line

Learn more about point-slope form of equation at:

#LearnwithBrainly

4 0

3 years ago

2 1/3 divided by 1 2/3 equals

fgiga [73]

2 1/3 ÷ 1 2/3

change to improper fraction.

= 7/3 ÷ 5/3

7/5

= 1 2/5

3 0

3 years ago

Read 2 more answers

The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin. The total height of the tw

raketka [301]

The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

<em><u>Solution:</u></em>

Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin

<em><u>To find: height of each penguin</u></em>

From given question,

Let "e" be the height of emperor penguin

Let "g" be the height of galapagos penguin

Total height of two penguins = 169 centimeter

Therefore,

height of emperor penguin + height of galapagos penguin = 169

e + g = 169 ---- eqn 1

The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin

height of emperor penguin = 22 + 2(height of galapagos penguin)

e = 22 + 2g --- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

g = 169 - e ------- eqn 3

Substitute eqn 3 in eqn 2

e = 22 + 2(169 - e)

e = 22 + 338 - 2e

e + 2e = 360

3e = 360

Thus from eqn 3,

g = 169 - 120

Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

3 0

3 years ago

PETA attempted to solve the following equation. Explain PETA’s error.

Bess [88]

Answer:

The answer is 15

3 0

3 years ago

Read 2 more answers