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3 years ago

Help please this is hard sheet attached

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

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Find the exact value of cos 120° in simplest form with a rational<br> denominator.

IRINA_888 [86]

Given:

cos 120°

To find:

The exact value of cos 120° in simplest form with a rational denominator.

Solution:

We have,

$\cos 120^\circ$

It can be written as

$\cos 120^\circ=\cos (90^\circ+30^\circ)$

$\cos 120^\circ=-\sin 30^\circ$ $[\because \cos (90^\circ-\theta)=-\sin \theta]$

$\cos 120^\circ=-\left(\dfrac{1}{2}\right)$ $[\because \sin 30^\circ=\dfrac{1}{2}]$

$\cos 120^\circ=-\dfrac{1}{2}$

Therefore, the exact value of cos 120° is $-\dfrac{1}{2}$ .

7 0

3 years ago

Question 1

kramer

Answer: The answer I got was A) 16

Step-by-step explanation:

Hope this helps!!!!

8 0

3 years ago

Read 2 more answers

Assume that it takes a college student an average of 10 minutes to find a parking spot in the main parking lot. Assume also that

rjkz [21]

Answer:

75% of college students exceed 6.63 minutes when trying to find a parking spot.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 10 minutes

Standard Deviation, σ = 5 minutes

We are given that the distribution of time for parking is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X < x) = 0.25

We have to find the value of x such that the probability is 0.25.

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 10}{5})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 10}{5} = -0.674\\x = 6.63$

Hence, 75% of college students exceed 6.63 minutes when trying to find a parking spot.

3 0

3 years ago

The product of some negative number and 3 less than twice that number is 209. find the number

zepelin [54]

The negative number would most likely be -19/2

let the negative number be x,
3 less than twice that negative number would be (2x-3)
hence,
equation form
x multiply by (2x-3) equals to 209
it would result in equation
2x^2-3x=209
2x^2-3x-209=0

hence using quadratic eqn
x=11 ( rej since qn stated x is a negative number)
x=-19/2

4 0

4 years ago

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!

sattari [20]

Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

2(x - 3) = 3x - 3

<em>open the parenthesis</em>

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

<em>subtract 2x from both sides</em>

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

<em>add 3 to both sides</em>

-6 + 3 = x

-3 = x

|2x + 6| = 8

<em>split this into two equations:</em>

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

-5(x + 1) > 30

<em>open the parenthesis</em>

-5x - 5 > 30

<em>add 5 to both sides</em>

-5x > 35

<em>divide both sides by -5</em>

x > -7

<em>since you divided by a negative, flip the sign.</em>

x < -7

f(x) = 4x - 3

<em>substitute x for 5</em>

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

5 0

3 years ago