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2 years ago

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The front face of a cube has side lengths of 15 feet. It is related to the face of a larger cube by a scale factor of 1.8. What

are the side lengths of the larger cube?

1 answer:

ratelena [41]2 years ago

5 0

Answer:

27

Step-by-step explanation:

You might be interested in

(1 point) Consider the paraboloid z=x2+y2. The plane 2x−2y+z−8=0 cuts the paraboloid, its intersection being a curve. Find "the

skad [1K]

Answer:

$\left \{ {{x(t)=-1+\sqrt{10}Sin(t) } \atop {y(t)=1+\sqrt{10}Sin(t)}} \right.$

Step-by-step explanation:

We have the plane 2x-2y+z-8=0 and the paraboloid z=x²+y².

We match the equations:

z=8-2x+2y

z=x²+y²

x²+y²=8-2x+2y

Then, we get the equation of the curve:

x²+2x+y²-2y=8 (adding +2x and -2y in both members of the equation)

(x²+2x+1)+(y²-2y+1)=8+1+1

Trinomials can be reduced as squared binomials

(x+1)²+(y-1)²=10

This is a circle with center in (-1,1) and radius √10

The generic

The parametric expression of the circle is:

$\left \{ {{x(t)=-1+\sqrt{10}Sin(t) } \atop {y(t)=1+\sqrt{10}Sin(t)}} \right.$

8 0

2 years ago

Matthew invested $5000 in an account that earns 3.8% interest, compounded annually. The formula for compound interest is A(t) =

Burka [1]

Yup D Is Right Because if you divide by 3.8% * 5000 you get d

6 0

2 years ago

Read 2 more answers

Ella spent her whole allowance of $2.00, plus the 16¢ she had left over from last week, in bubble gum. If the pieces of gum had

pychu [463]

The answer here is simple to work out. We know that Ella has a total of $2.16. We need to determine each piece of gums value.
We also know that if the pieces of gum were one penny cheaper, she would have received three additional pieces.
At 8 pieces we know that each piece costs 27 cents. If the pieces of gum were one cent cheaper, she would have ended up with 8.64 pieces. Even with rounding, because the answer is not 11, we know that this is incorrect.
At 9 pieces we know that each piece costs 24 cents. If the pieces of gum were one cent cheaper, she would have ended up with 9.39 pieces. Even with rounding, because the answer is not 12, we know that this is incorrect.
At 16 pieces we know that each piece costs 13.5 cents. If the pieces of gum were one cent cheaper, she would have ended up with 17.28 pieces. Even with rounding, because the answer is not 19, we know that this is incorrect.
At 24 pieces we know that each piece costs 9 cents. If the pieces of gum were one cent cheaper, she would have ended up with 27 pieces. We know this is the correct answer because 27-24 is 3.
The correct answer is D) 24

3 0

2 years ago

Read 2 more answers

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Alex17521 [72]

Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(z>0.686)$

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

$P(z>0.686)=1- P(Z$

c) $P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.5$

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".

Part a

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

$X \sim N(46.8,1.75)$

Where $\mu=46.8$ and $\sigma=1.75$

We are interested on this probability

$P(X$

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:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(z>0.686)$

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

$P(z>0.686)=1- P(Z$

Part c

$P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.5$

6 0

2 years ago

The segments shown below could form a triangle.

Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0

2 years ago