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2 years ago

7

Geometry boy yo please help

1 answer:

densk [106]2 years ago

4 0

Answer:

x=12

Step-by-step explanation:

ab=dc so 15=x+3 you subtract 3 from both sides... x=12

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Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n

sveticcg [70]

Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

3 0

2 years ago

If you spend 3/5 of your $40 gift card, how much money will be left on it?

just olya [345]

Answer:

$16

Step-by-step explanation:

1-⅗=⅖

40×⅖=16

Here's the answer

3 0

2 years ago

The number of passengers p on the bus is no more than 45

nadezda [96]

If you are looking for an equation, it is

p < 45 (p is less than 45.)

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✉️ If any further questions, inbox me! ✉️

5 0

3 years ago

Read 2 more answers

Solve 4(5)^x= 500.<br> help please

sladkih [1.3K]

Answer:

x=3

Step-by-step explanation:

Isolate x.

$4(5)^x=500$ Divide both sides by four

$5^x=125$ Take $log_{5}$ of both sides. In other words, what power must you raise 5 to in order to get 125? ( $5^3=125$ )

x=3

7 0

1 year ago

Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If the height increases at a consta

Cerrena [4.2K]

Answer:

$125\pi \frac{\text{ft}^3}{\text{min}}$ .

Step-by-step explanation:

Let x represent height of the cone.

We have been given that Sand pouring from a chute forms a conical pile whose height is always equal to the diameter.

We know that radius is half the diameter, so radius of cone would be $\frac{x}{2}$ .

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$

Upon substituting the value of height and radius in terms of x, we will get:

$V=\frac{1}{3}\pi (\frac{x}{2})^2(x)$

$V=\frac{1}{3}\pi\frac{x^2}{4}(x)$

$V=\frac{1}{12}\pi x^3$

Now, we will take the derivative of volume with respect to time as:

$\frac{dV}{dt}=\frac{1}{12}\pi\cdot 3x^2\cdot \frac{dx}{dt}$

$\frac{dV}{dt}=\frac{1}{4}\pi\cdot x^2\cdot \frac{dx}{dt}$

Upon substituting $x=10$ and $\frac{dx}{dt}=5$ , we will get:

$\frac{dV}{dt}=\frac{1}{4}\pi\cdot (10)^2\cdot 5$

$\frac{dV}{dt}=\frac{1}{4}\pi\cdot 100\cdot 5$

$\frac{dV}{dt}=\pi\cdot 25\cdot 5$

$\frac{dV}{dt}=125\pi$

Therefore, the sand is pouring from the chute at a rate of $125\pi \frac{\text{ft}^3}{\text{min}}$ .

8 0

3 years ago