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4 years ago

HELP HELP THERE IS A PIC ATTACHED HELP HELP PLZ GOBE A REAL ANSWER

Mathematics

1 answer:

Inessa05 [86]4 years ago

6 0

Answer:

? = 95 degrees

Use your complementary angles to solve for the missing angle. Remember a line is 180 degrees and any triangle whether its obtuse or acute it also equal 180.

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Alicia has 7 paintings she wants to hang side by side on her wall.

melisa1 [442]

The question is an illustration of permutation and combinations.

The number of ways she can choose 4 out of the 7 paintings is 35
The number of ways she can arrange 4 out of the 7 paintings is 840

The given parameters are:

$\mathbf{n = 7}$

$\mathbf{r = 4}$

<u>(a) Choose 4 of 7 paintings</u>

Choosing 4 of 7 paintings implies combination.

So, we have:

$\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}$

Substitute values for n and r

$\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}$

$\mathbf{^7C_4 = \frac{7!}{3!4!}}$

Expand

$\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}$

$\mathbf{^7C_4 = 35}$

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

<u>(b) Arrange 4 of 7 paintings</u>

Arranging 4 of 7 paintings implies permutation.

So, we have:

$\mathbf{^nP_r = \frac{n!}{(n - r)!}}$

Substitute values for n and r

$\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}$

$\mathbf{^7P_4 = \frac{7!}{3!}}$

Expand

$\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}$

$\mathbf{^7P_4 = 840}$

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

brainly.com/question/15301090

8 0

3 years ago

You began your hike at 30 feet below sea level. you are now at 200 feet. how far have you hiked

Tema [17]

30 + x = 200

x = 170 feet. You've hiked 170 feet below sea level.

6 0

4 years ago

What is the simplified expression of 5(3m+7) - 4?

Misha Larkins [42]

Answer:

15m +31

Step-by-step explanation:

5(3m+7) - 4 = 15m + 35 - 4 = 15m +31

5 0

3 years ago

Read 2 more answers

The sum of a number and six times its reciprocal is 10. Find the number

Andreas93 [3]

Answer:

two solutions work: x = 5 + $\sqrt{19}$ and x = 5 - $\sqrt{19}$

Step-by-step explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 + $\sqrt{19}$ , 5 - $\sqrt{19}$

6 0

3 years ago

Last question then I’ll be done I’m pretty sure. Please help and I’ll mark brainliest if it lets me. Just give me a small explan

Blizzard [7]

B because you are looking for an equation in the problem so if it starts at 16 and you are adding 2 gallons per hour you get 16+2x. Then for the other tank you start with 20 gallons and you are loosing 3 gallons per hour so you get 20-3x. To solve the equation you make them = each other so then you have 16+2x=20-3x.

7 0

3 years ago