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3 years ago

A backpack that normally sells for $39 Is on sale for 33% off. Find the amount of the discount and the sale price

1 answer:

5 0

To get the price, you have to multiply the amount by the percent it would become.

100% of 39 is 39
It is 33% off
100 (1.00) - 33 (0.33) = 67% (0.67)

Remember, the percent is a decimal because it is part of a whole (1).

39*0.67=$26.13.

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If sine theta equals three over four, what are the values of cos θ and tan θ?

ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.

7 0

3 years ago

- f(x) = x^5 – 8x^3 – 9x (find all zeros/roots)

grigory [225]

$x^5-8x^3-9x\\\\[Factor]x(x+3)(x-3)(x^2+1)\\\\[Set all the items equal to 0.]x = 0\\\\x+3=0\\x=-3\\\\x-3=0\\x=3\\\\x^2 +1=0\\x^2=-1\\x=i,-i$

The 5 roots are 0, -3, 3, i, and -i.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

3 0

3 years ago

Helppppppppppppppppp

Nimfa-mama [501]

The answer is x=5. I've included the work in the picture attached.

7 0

3 years ago

176 is 21% of what number

MrRissso [65]

The answer is 838.09528(09528 has a line above it)

6 0

3 years ago

Read 2 more answers

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1000 lbs

ElenaW [278]

Answer:

0.9466 = 94.66% probability that the weight of a randomly selected steer is between 639 and 1420lbs.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1000, \sigma = 200$