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3 years ago

What are the 6 trigonometry functions

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)

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Angela is taping 7 boxes for storage. She uses 1 1/2 feet of tape to close each box how much tape will Angela need to tape the b

Mrrafil [7]

Answer:

B. 10 1/2 feet

Step-by-step explanation:

We are told that she taped 7 boxes.

We are also told that she uses 1 1/2 feet of tape to close each box.

Therefore, the length of tape she will need to use for the 7 boxes will be the product of 7 boxes and 1 1/2 feet of tape per box:

L = 1 1/2 * 7 = 3/2 * 7 = 21/2 = 10 1/2 feet.

She will need to use 10 1/2 feet of tape.

5 0

3 years ago

Determine the total surface area of the prism with the net shown.

Luden [163]

Yes 48 is right

Hope this helps you

8 0

3 years ago

What is the value of X?

Leviafan [203]

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

4 0

3 years ago

For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

3 0

3 years ago

A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N

Stolb23 [73]

Answer:

0.0764

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 33, \sigma = 0.7$

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?

This is the pvalue of Z when X = 32. So

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

$Z = \frac{32 - 33}{0.7}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0764, which is the correct answr

6 0

4 years ago