What is the perimeter, in units, of polygon EFGHJK?

Answer:

x = 240°, x = 300°

Step-by-step explanation:

Using the identity

sin x = [tex]\frac{1}{cosecx}[/tex] = [tex]\frac{1}{-\frac{2}{\sqrt{3} } }[/tex] = - [tex]\frac{\sqrt{3} }{2}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60° ← related acute angle

Since sin x < 0 then x is in 3rd / 4th quadrants

x = 180° + 60° = 240°

x = 360° - 60° = 300°

Answer:

(b) She should have rounded –8.02 to –8

Step-by-step explanation:

Given

See attachment for long division

Required

Her error

Ignoring the minus sign,

Her approximation is as follows:

[tex]-71.81 \approx 72[/tex]

[tex]-8.02 \approx 9[/tex]

Her approximation of -8.02 is wrong

Because:

[tex]-8.02 \approx 8[/tex]

Hence (b) is correct

B (she should have rounded –8.02 to –8)

Step-by-step explanation:

Just got it right on e d g e u n i t y 2021!

Answer:

A.Both of the students did the problem correctly.

Step-by-step explanation:

B. Nikki multiplied the fraction(8/3) to the items in the parentheses. Then multiplied each side with 3. Jon did the opposite. He first removed the fraction by multiplying each side by 3. Then he multiplied 2 to the items in the paranthesis.

C. I prefer Jon's method. Fractions can be tricky. I prefer to remove them as soon as possible. This time the items in the paranthesis had whole numbers. But had any of them been a fraction too, the problem would have gotten a lot more tricky and it would very easy to make a mistake or miscalculate something.

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving for x means you have to factor. First factor out the GCF of 2 to get:

[tex]2(3x^2+x-6)[/tex] and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:

1, 18

2, 9

3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:

[tex]x=\frac{-2+/-\sqrt{2^2-4(6)(-12)} }{2(6)}[/tex] and

[tex]x=\frac{-2+/-\sqrt{4+288} }{12}[/tex] and

[tex]x=\frac{-2+/-\sqrt{292} }{12}[/tex] and

[tex]x=\frac{-2+/-\sqrt{4*73} }{12}[/tex] and

[tex]x=\frac{-2+/-2\sqrt{73} }{12}[/tex] which finally simplifies to

[tex]x=\frac{-1+/-\sqrt{73} }{6}[/tex] No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!

Answer:

1/3 kilograms

Step-by-step explanation:

Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

Answer:

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = [tex]\sqrt{72}[/tex]

c=3[tex]\sqrt{8}[/tex]

c=8.485281374

Step-by-step explanation:

Sin P= 2/30

Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)

Sin= O/H

Cos= A/H

Tan= O/A

Answer:

The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21

Step-by-step explanation:

The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus

4x² - 3 + 4x² - 2 + 4x² - 1

We can then separate our variables and constants to make it

4x² + 4x² + 4x² - 3 - 2 - 1

Add the constants to get

4x²+4x²+4x²  - 6

To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,

4x² + 4x² + 4x² = (4+4+4)x² = 12x²

4x²+4x²+4x²  - 6 = 12x² - 6

Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²

Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21

Answer:

B. 192.5 ft³

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

Answer:

25 times 12

300

divided by 2

150

times 22

3300 cubic ft

Using it's concept, it is found that there is a 20% experimental probability that the next donut sold will be a cake donut.

A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes is taken from previous trials.

In this problem, we have that from the previous 10 trials, 2 resulted in a cake donut being sold, hence:

P(cake donut) = 2/10 = 0.2 = 20%.

20% experimental probability that the next donut sold will be a cake donut.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: 1/5

i did this question before and this was the correct answer

Try this option:

a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87

Answer:

depending how what kind of bottle I think

B. x = y

Hope this helps! :)

Answer:

x = y

Step-by-step explanation:

∠x and ∠y are corresponding angles

corresponding angles are congruent ( equal to each other )

Hence x = y

Answer:

I got an answer of 77, so I am assuming it may be the closest option of 74?

Answer:

8.34 ×10^4 as in sceintific notation so in normal

8.39×10^4 = 83900

and 3.84 × 10^-3 = 0.00384

Hope it helps

Answer:

(0,-1)

Step-by-step explanation:

You look at where the line intercepts the y axis, which is at (0,-1)

Answer:

(0,-1)

Step-by-step explanation:

y intercept is the point on the y- axis

The coordinates are (0,-1)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The probability is 2/5

Step-by-step explanation:

There are 25 sections on the board

And 10 of those squares are coloured yellow

Therefore;

Probability =

[tex] \frac{10}{25} = \frac{2}{5} [/tex]

Answer:

x = 1   ,or   x = -7

Obviously, the true answer is not in the options given.

Step-by-step explanation:

x² + 6x - 6 = 10

The above equation can not be factorized, hence the use of Almighty Formula.

x = [-b +- √b² - 4ac] / 2a

Where a = 1, b = 6, c = -6

x = [-6 +- √6² - (4*1*-6)] / 2*1

x = [-6 +- √36 - (-24)] / 2

x = [-6 +- √36 + 24] / 2

x = [-6 +- √60] / 2

x = [-6 +- 7.75] / 2

x = [-6 + 7.75] / 2   ,or   x = [-6 - 7.75] / 2

x = 1.75/2   ,or   x = -13.75/2

x = 0.875   ,or   x = -6.875

Approximately

x = 1   ,or   x = -7

Answer:

x=In2+1

Step-by-step explanation:

3+4ex+1-3=11-3

0+4ex+1=8

4ex+1=8

[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]

[tex]I \: hope \: it \: will \: help \: you[/tex]

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

 -     -     -

2d+3o=43

=     =    =

4d      =44

÷4        ÷4

d        =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7