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3 years ago

What is the value of x?

Mathematics

2 answers:

just olya [345]3 years ago

6 0

Answer:

the answer is 80 because its a supplementary angle and supplementary angles add up to 180 degrees.

Step-by-step explanation:

70+30=100

180-100=80

so answer is 80 degrees

Mkey [24]3 years ago

5 0

Answer:

80 degrees

Step-by-step explanation:

A triangle has 180 degrees total; 180-70 = 110 - 30 = 80

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There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could pl

Dafna11 [192]

Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

6 0

3 years ago

Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he take

Allisa [31]

Answer: 2 11/24

Step-by-step explanation:

How many hours does the plane save?

Time taken for the train = 5 1/8

Time taken for the plane = 2 2/3

The number of hours saved will then be:

= 5 1/8 - 2 2/3

Let the lowest common multiple be 24

= 5 3/24 - 2 16/24

= 2 11/24

The number of hours saved by the plane will be 2 11/24

8 0

3 years ago

Math help will mark brainliest

jasenka [17]

im not sure but its either A Or D

Step-by-step explanation:

because the points are on that point

3 0

3 years ago

Please solve equations by completing square

BlackZzzverrR [31]

$x^2-4x+1=0\\
x^2-4x+4-3=0\\
(x-2)^2=3\\
|x-2|=\sqrt3\\
x-2=\sqrt3 \vee x-2=-\sqrt3\\
x=2+\sqrt3 \vee x=2-\sqrt3$

$x^2+6x-9=0\\
x^2+6x+9-18=0\\
(x+3)^2=18\\
|x+3|=\sqrt{18}=3\sqrt2\\
x+3=3\sqrt2 \vee x+3=-3\sqrt2\\
x=-3+3\sqrt2 \vee x=-3-3\sqrt2\\$

$x^2+20x+3=0\\
x^2+20x+100-97=0\\
(x+10)^2=97\\
|x+10|=\sqrt{97}\\
x+10=\sqrt{97} \vee x+10=-\sqrt{97}\\
x=-10+\sqrt{97} \vee x=-10-\sqrt{97}$

$x^2-2x-5=0\\
x^2-2x+1-6=0\\
(x-1)^2=6\\
|x-1|=\sqrt6\\
x-1=\sqrt6 \vee x-1=-\sqrt6\\
x=1+\sqrt6 \vee x=1-\sqrt6$

8 0

3 years ago

Help me with this please.

Drupady [299]

Answer:

1. 83 square inches

2. 7.065 square centimeters

Step-by-step explanation:

Hey there!

In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape

The dimensions are 10 and 16 and if you multiply them together, you get 160

This means that the area of the whole shape is 160

Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160

The dimensions for the white rectangle is 11 and 7

This means that the area of the white rectangle is 77

Now what we need to do is subtract 77 from 160

160-77=83

So the area of the shaded region is 83 square inches

Now to get to the second question

We need to find the area of the quarter circle

In order to find this, we need to first find the area of the whole circle, then divide that by 2

They gave us the radius already which makes it a lot easier (the radiues is 3)

All we need to do is input 3 into the formula for the area of a circle

$\pi r^2$

In this case, since they are telling us to use 3.14 as pi, the equation would look like this:

$3.14*3^2$

This can be simplified to $3.14*9$ which is equal to 28.26

So this is the area of the whole circle

But the question is asking for the area of a quarter of that circle

So what we need to do is divide 28.26 by 4 which is 7.065

So the area of the quarter circle is 7.065 square centimeters

4 0

2 years ago