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3 years ago

Write down a pair of integer whose sum is -6

Mathematics

1 answer:

Wittaler [7]3 years ago

8 0

0 , -6
6 , -12
4 , -10
-3 , -3
These are the ones i could think of now

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One third of a number

rodikova [14]

Well the thing is you didn't tell us which number but if it is 12 then i strongly believe that the answer is 3/9

7 0

4 years ago

Read 2 more answers

The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?

Vlad [161]

Answer:

the answer would be 13.75 feet

Step-by-step explanation:

The computation of the tall is the building as follows:

Given that

Base is 6 foot

And, the hypotheses is 15 feet

Here we use the Pythagoras theorem

= √15^2 - √6^2

= √225 - √36

= √189

= 13.75 feet

Hence the answer would be 13.75 feet

6 0

3 years ago

2. A square is divided into smaller squares and

Oduvanchick [21]

Answer:

1.5 ft^2

Step-by-step explanation:

Since the length is divided into 4 parts,

Length of a small square = 2/4

= 0.5 ft

Hence,

Area of 1 small square = (0.5)(0.5)

= 0.25 ft^2

Area of shaded portion = Area of 6 small squares

= 6(0.25)

= <u>1.5 ft^2</u>

4 0

3 years ago

Read 2 more answers

A conical water tank with vertex down has a radius of 13 feet at the top and is 21 feet high. If water flows into the tank at a

VLD [36.1K]

Answer:

$\frac{dh}{dt}\approx0.08622\text{ ft/min}$

Step-by-step explanation:

We know that the conical water tank has a radius of 13 feet and is 21 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

$\frac{dV}{dt}=\frac{30\text{ ft}^3}{\text{min}}$

We want to find how fast the depth of the water is increasing when the water is 17 feet deep. So, we want to find dh/dt.

First, remember that the volume for a cone is given by the formula:

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

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

$\frac{r}{h}=\frac{13}{21}$

Multiply both sides by h:

$r=\frac{13}{21}h$

So, let's substitute this in r:

$V=\frac{1}{3}\pi (\frac{13}{21}h)^2h$

Square:

$V=\frac{1}{3}\pi (\frac{169}{441}h^2)h$

Simplify:

$V=\frac{169}{1323}\pi h^3$

Now, let's take the derivative of both sides with respect to t:

$\frac{d}{dt}[V]=\frac{d}{dt}[\frac{169}{1323}\pi h^3}]$

Simplify:

$\frac{dV}{dt}=\frac{169}{1323}\pi \frac{d}{dt}[h^3}]$

Differentiate implicitly. This yields:

$\frac{dV}{dt}=\frac{169}{1323}\pi (3h^2)\frac{dh}{dt}$

We want to find dh/dt when the water is 17 feet deep. So, let's substitute 17 for h. Also, let's substitute 30 for dV/dt. This yields:

$30=\frac{169}{1323}\pi (3(17)^2)\frac{dh}{dt}$

Evaluate:

$30=\frac{146523}{1323}\pi( \frac{dh}{dt})$

Multiply both sides by 1323:

$39690=146523\pi\frac{dh}{dt}$

Solve for dh/dt:

$\frac{dh}{dt}=\frac{39690}{146523}\pi$

Use a calculator. So:

$\frac{dh}{dt}\approx0.08622\text{ ft/min}$

The water is rising at a rate of approximately 0.086 feet per minute.

And we're done!

Edit: Forgot the picture :)

3 0

4 years ago

One square tile on your kitchen floor is 11.25 inches long. It takes 12.5 tiles to cover

weeeeeb [17]

Answer:140.63

Step-by-step explanation:

11.25 x 12.5= 140.625

7 0

3 years ago