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3 years ago

14

Lucy wants to hang 5 photos on her

1 answer:

gizmo_the_mogwai [7]3 years ago

6 0

Answer:

7

Step-by-step explanation:

You might be interested in

What is the eighth term of the arithmetic sequence? An=<br> 10n – 14?

Alja [10]

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

3 0

3 years ago

Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle

kakasveta [241]

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:

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

The hypotenuse is the side with the greatest length.

Check all options:

1. c=5, a=3, b=4:

$5^2=25,\\3^2+4^2=9+16=25,\\5^2=3^2+4^2$ true.

2. c=14, a=4, b=11:

$14^2=196,\\4^2+11^2=16+121=137,\\14^2\neq 4^2+11^2$ false.

3. c=17, a=9, b=14:

$17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2$ false.

4. c=16, a=8, b=14:

$16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2$ false.

5. c=17, a=8, b=15:

$17^2=289,\\8^2+15^2=64+225=289,\\17^2=8^2+15^2$ true.

Answer: correct options are A and E.

4 0

3 years ago

Read 2 more answers

What is the slope of the line whose equation is -48 = 2x - 8y?<br> Enter your answer in the box.

aleksandr82 [10.1K]

Answer:

The slope is $\frac{2}{8}$

Step-by-step explanation:

Take the general equation of a straight line $y = mx+c$

Here $m$ is the slope of the line.

So let's get the equation of the line in the question in the same form.

$-48 = 2x-8y$

Add $8y$ to both sides: $8y - 48 = 2x$

Add $48$ to both sides: $8y = 2x + 48$

Divide by $8$ to get it into the general equation: $y = \frac{2}{8} x + 6$

Now compare it to the general equation to find the value of $m$ . The value of $m$ is the coefficient of $x$ which we can see is $\frac{2}{8}$

3 0

3 years ago

Please help. URGENT. THANK YOU

adelina 88 [10]

Answer:

6

Step-by-step explanation:

The maximum value of the sin function is at $\dfrac{\pi}{2}$ , when sin is equal to 1. Since you need to multiply pi/12 by 6 to get to pi/2, the maximum amount of people will be at the square after 6 hours. Hope this helps!

4 0

3 years ago

out of some students appeared in an examination 80% passed in mathematics 75% passed in english and 5% failed in both subjects i

Advocard [28]

Answer:

5000 students appeared in the examination.

Step-by-step explanation:

We solve this question using Venn probabilities.

I am going to say that:

Event A: Passed in Mathematics

Event B: Passed in English.

5% failed in both subjects

This means that 100 - 5 = 95% pass in at least one, which means that $P(A \cup B) = 0.95$

80% passed in mathematics 75% passed in english

This means that $P(A) = 0.8, P(B) = 0.75$

Proportion who passed in both:

$P(A \cap B) = P(A) + P(B) - P(A \cup B)$

Considering the values we have for this problem

$P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6$

3000 of them were passed both subjects how many students appeared in the examination?

3000 is 60% of the total t. So

$0.6t = 3000$

$t = \frac{3000}{0.6}$

$t = 5000$

5000 students appeared in the examination.

4 0

3 years ago