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3 years ago

The area of the base of a square notepad is 2.25 square inches. What is the length of one side of the base of the notepad?

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

1.5 inches

Step-by-step explanation:

Because the base of the notepad is a square, that means that each side of the base would be equal. Since the area is 2.25 square inches, and each side would have to be equal, the equation to solve would be x*x = 2.25, or x^2=2.25. So, you just take the square root of both sides, and x=1.5 inches. Each side of the notepad would be 1.5 inches.

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tigry1 [53]

Answer: okay what do you need help with

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4 years ago

There are 98 international units of vitamin d in 1 cup of milk. The function V(c)=98c represents the amount V(c) of vitamin d, i

Dimas [21]

the answer is 0≤ c ≤16, 0≤ V(c) ≤1568

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3 years ago

A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, c

mihalych1998 [28]

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

$P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75$

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

$P(A \cap B) = 0.6*\frac{1}{6} = 0.1$

Find the probability that bridge B was used.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333$

0.1333 = 13.33% probability that bridge B was used.

8 0

3 years ago

Shane y Abha obtuvieron una medalla del equipo que requería que su equipo recolectara no menos de 2000 latas para reciclar. Abha

Usimov [2.4K]

Answer: Shane collected more than 911 cans

Step-by-step explanation:

S is the number of cans that shane collected.

A is the number of cans that Abha collected.

We know that:

together collected more than 2000 cans

A + S > 2000

Abha collected 178 more cans that Shane:

A = S + 178

Now, we can replace this equation in the inequality and get:

A + S > 2000

S + 178 + S > 2000

2*S > 2000 - 178 = 1822

S > 1822/2 = 911

This means that shane collected more than 911 cans.

6 0

4 years ago

An equation that represents the path of a diver jumping off a diving board is y = –7x2 + 5x + 16. Graph this function from the p

ANTONII [103]

Answer:

See explanation

Step-by-step explanation:

An equation that represents the path of a diver jumping off a diving board is

$y = -7x^2 + 5x + 16.$

The diver jumped to the water when x = 0.

Then

$y=-7\cdot 0^2+5\cdot 0+16=16$

The jumper reached the water when y = 0, then

$-7x^2+5x+16=0\\ \\D=5^2-4\cdot (-7)\cdot 16=25+448=473\\ \\x_{1,2}=\dfrac{-5\pm\sqrt{473}}{-14}$

So, point where the jumper reached the water is

$\left(\dfrac{5+\sqrt{473}}{14},0\right)\approx (1.93,0)$

7 0

4 years ago