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likoan [24]
3 years ago
15

Which expression helps you find the length x of a side of a rectangle that has a diagonal of 15 units and a width of 9 units?

Mathematics
2 answers:
aliina [53]3 years ago
6 0
15²-9²= x² use Pythagoras' theorum and square the two smaller sides to get the square of the hypotenuse (the diagonal) then rearrange this to get the above calculation
Setler79 [48]3 years ago
6 0

The diagonal of rectangle is 15 units and a width is 9 units.

Let the length of rectangle is x units.

Relation of sides of rectangle and diagonal

Sum of square of length of side of rectangle is equal to square of length of diagonal.

Using pythagoreous theorem:

x^2+9^2=15^2

x^2=15^2-9^2

x^2=(15+9)(15-9)

x^2=24\times 6

x^2=144

x=\sqrt{144}

x=12

Above all are possible expressions to find x.

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PtichkaEL [24]
I think the best figure for a cereal box would be a cylinder. There are no corners on a cylinder where it is hard to fit round pieces of cereal into.  The formula for the surface area of the cylinder is 2*pi*r*h+2*pi*r^2. The formula for the volume of the cylinder is pi*r^2*h. (Then I would add some more info supporting why you think a cylinder would make a good box.)
6 0
3 years ago
3.452 × 100 =-------------
Lilit [14]

Answer:

345.2

Step-by-step explanation:

1: Move 3.452 to the end of the equation

(3.452 × 100) -> (3.452 × 100 = 3.452)

2: Since 100 has 2 zeros, move the decimal point 2 places to the right.

(3.452 × 100 = 3.452) -> (345.2)

Hope this helps!

7 0
3 years ago
Read 2 more answers
I need help with this!!!!
Ira Lisetskai [31]

Answer:

  D:  2/4

Step-by-step explanation:

Usually when we talk about a point partitioning a segment, we are interested in the ratio of the first segment to the second:

  BC : CD = 2 : 2 = 1 : 1

Since this is not an answer choice, we need to "reverse engineer" the answer list to see if we can find an answer that corresponds to a reasonable interpretation of the question.

__

None of the segments is 3 units long, so neither of answer choices A or B makes any sense.

While segment BD is 4 units long, there is no segment that is 1 unit long, so answer choice C makes no sense, either.

There are segments that are 2 units long and a segment that is 4 units long, so if we interpret the question to be "what is the ratio of BC to BD?" then answer choice D is appropriate.

4 0
3 years ago
An hourglass, composed of two identical cones, is 12 cm tall. The radius of each cone is 3 cm. If you want to fill the bottom ha
EleoNora [17]
The volume of a cone is V= (1/3)pi r²h
it was given 
h=12cm
radius=3cm 
the volume of the first cone is V1= 1/3)pi r²h1
where h1= h/2=6cm 
so its volume is V1=1/3)xpix3²x6=56.52cm^3

and since the two cones are identical so V1=V2=<span>56.52cm^3,
we need </span><span>56.52cm^3 or salt </span>
6 0
3 years ago
Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?
blagie [28]

Question 1

Let the scale factor be k.

Then, we have the mapping

N(6,-3)\to N'(6k,-3k)

This implies that:

(6k,-3k)=(2,-1)

We equate any corresponding component find the value of the scale factor k.

6k=2

k=\frac{2}{6}

k=\frac{1}{3}

Hence the scale factor is  \frac{1}{3}

Question 2:

The midpoint of any two points can be calculated using the formula;

(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

We want to find the midpoint of (-8, 5) and (2, -2).

(\frac{-8+2}{2}, \frac{5+-2}{2})

(\frac{-6}{2}, \frac{3}{2})

The midpoint is:

(-3, \frac{3}{2})

5 0
3 years ago
Read 2 more answers
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