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2 years ago

What’s the missing side round to the nearest tenth?

Mathematics

1 answer:

Step2247 [10]2 years ago

4 0

Sine of angle = opposite ÷ hypotenuse

sin 20 = $\frac{14}{x}$

x = $\frac{14}{sin 20}$

x = 40.9 (rounded up to nearest tenth)

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I do not understand this. Can you please explain.

klemol [59]

Answer:

Step-by-step explanation

y^(3/5) = $\sqrt[5]{y{3}}$

y^(-3/5) = 1/ $\sqrt[5]{y{3}}$

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2 years ago

Alex has a rectangle piece of red paper that is 4 centimeter wide .its length is twice it's width she glues a piece of paper blu

xenn [34]

4cm•2=8cm which is the length of the red paper so therefore Red paper= 4cmx8cm.
Then your going to take 3cm-4cm= 1cm
Next your going to solve for 7cm-8cm=1cm
Which leaves you with an answer of 1cmx1cm more of visible red paper.

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2 years ago

A box of fruit has three times as many nectarines as grapefruit. Together there are 64 pieces of fruit. Write the equation that

Basile [38]

Answer:

4g = 64

Step-by-step explanation:

Let n = the number of nectarines

and g = the number of grapefruit

We have two conditions that must be satisfied to represent the situation:

(1) n = 3g

(2) n + g = 64

If you need one equation, we can substitute (1) into (2) and get

4g = 64

7 0

2 years ago

Find the perimeter of a rectangle with 33 inches for a width and 75 inches for the length. Have the perimeter in YARDS.

juin [17]

The answer is 72
the formula is (width+length)*2

7 0

2 years ago

A consumer survey indicates that the average household spendsμ= $185on groceries each week. The distribution of spending amounts

Vitek1552 [10]

Answer:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average household spent of a population, and for this case we know the distribution for X is given by:

$X \sim N(185,25)$

Where $\mu=185$ and $\sigma=25$

We are interested on this probability

$P(X>200)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

7 0

2 years ago