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4 years ago

Determine the most precise name for the quadrilateral with vertices at A(–7, –2), B(0, 2), C(4, –5), and D(–3, –9).

Mathematics

1 answer:

Ghella [55]4 years ago

3 0

All angles are 90 degrees, which cancels out a kite and a rhombus, leaving you with two options (rectangle or square). Using Pythagoras' theorem, you can work out that all sides are also of equal length, which means this shape is a square :)

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A rectangular prism has a volume of 750 cubic millimeters. Its length is 15

umka2103 [35]

Answer: 5 milimeters.

Step-by-step explanation:

The formula for calculate the volume of a rectangular prism is:

$V=lwh$

Where "V" is the volume, "l" is the lenght, "w" is the width and "h" is the height.

You know that the volume, the lenght, and the width of this rectangular prism are:

$V=750mm^3\\l=15mm\\w=10mm$

Substitutute these values into the formula and solve for the the height "h":

$750mm^3=(15mm)(10mm)h\\\\h=\frac{750mm}{(15mm)(10mm)}\\\\h=5mm$

5 0

3 years ago

Ryan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot

Ivahew [28]

Answer:

Both plans last for 1.25 hours (1 hour 15 minutes)

Step-by-step explanation:

Let x hours be the time needed for plan A and y hours be the time needed for plan B.

On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. Thus, 5x+3y=10.

On Thursday there were 2 clients who did Plan A and 6 who did Plan B. Thus, 2x+6y=10.

Solve the sytem of two equation. Multiply the first equation by 2, the second by 5 and subtract them:

$10x+6y-10x-30y=20-50,\\ \\-24y=-30,\\ \\y=\dfrac{30}{24}=\dfrac{5}{4}=1.25\ hours.$

Therefore,

$5x+3\cdot 1.25=10,\\ \\5x=10-3.75=6.25,\\ \\x=1.25\ hours.$

8 0

4 years ago

Help answer and EXPLAIN STEP BY STEP

pychu [463]

15. $(-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)$

Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...

$(-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)$

$-k^{3} -5k^{2} +1 - 6k^{3} +k^{2} +2$

Step 2: Combine like terms ( $k^{2}$ 's go with $k^{2}$ 's)

$-k^{3} -5k^{2} + 1 - 6k^{3}+k^{2} +2$

$-5k^{2} +k^{2}$

$-4k^{2}$

$-k^{3} -4k^{2} + 1 - 6k^{3}+2$

Step 3: Combine like terms ( $k^{3}$ 's go with $k^{3}$ 's)

$-k^{3} -4k^{2} + 1 - 6k^{3}+2$

$-k^{3} + (- 6k^{3})$

$-7k^{3}$

$-7k^{3} -4k^{2} + 1 +2$

Step 4: Combine like terms (normal numbers go with normal numbers)

$-7k^{3} -4k^{2} + 1 +2$

1 + 2

$-7k^{3} -4k^{2} + 3$

You were correct!

16. $49m^2 - 84mn + 36n^2$

I don't really know how to explain this one but I got: (7m-6n)(7m-6n)

7 0

4 years ago

3. 11q-5+29-7<br> What does is simplify down to in simplest form?

8_murik_8 [283]

Answer:

11q-12+29

Step-by-step explanation:

Add like terms which in this case would be -5 and -7 which would equal -12. Those are the only like terms so your answer would be 11q-12+29

7 0

3 years ago

A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the cit

maw [93]

Answer:

Simple random sampling survey method

Step-by-step explanation:

A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.

In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process

7 0

3 years ago

Read 2 more answers