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zmey [24]
3 years ago
11

A) Why are all parallelograms not rectangles?

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

a) Rectangles always have 4 right angles (90 degrees), but parallelograms do not always have 4 right angles rather they can, but do not have to. Rectangles have to.

b) A square is a type of rectangle, but a rectangle is not a type of square. Both rectangles & squares have 4 right angles and are always quadrilaterals, but squares always have all sides that have the same length, but rectangles do not have to have their sides all equivalent lengths.

c) In the case of a parallelogram, the opposite sides are equal whereas in a rhombus all four sides are equal.


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HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
2.16 (the 6 is repeating) as a fraction (no improper fractions)
serg [7]

Answer:

2 4/25

Step-by-step explanation:

First, I made the decimal into 2 16/100. Then, keep simplifying the 16/100 until it is fully simplified.

6 0
3 years ago
If the probability of a chance event is 0.82, it is more likely to happen than which of the following probabilities of another c
Charra [1.4K]

Answer:

0.8

Step-by-step explanation:

Things to remember:

- You can add as many 0's on the end of a decimal and it will still equal the same number, as long as the 0's are on the right side of the decimal point. For example, 0.7 = 0.7000.

- The lowest value has the lowest probability

So, let's rewrite the options with the same amount of decimal points:

1.00

0.90

0.80

0.85

Now, find the value under 0.82. In this option, the lowest value is 0.80, and it is under 0.82, so it is the answer.

8 0
3 years ago
The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%
liq [111]
<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

   Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

   From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by \frac{100+1.8}{100} = \frac{101.8}{100}.

   So, the population in the year t can be given by P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}

   Population in the year 2000 = 3,381,000\textrm{x}(\frac{101.8}{100})^{6}=3,762,979.38

Population in year 2000 = 3,762,979

   Let us assume population doubles by year y.

2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}

log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})

y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537

y≈2033

∴ By 2033, the population doubles.

4 0
3 years ago
in a survey it was found that ratio of people who liked modern songs and folk songs ia 8:9 out of which 50people liked both song
lina2011 [118]

Answer:

as in the question it is given that 50 people liked both songs 40 liked folk songs and 80 liked none of the song so we can add the number of people

50+40+80

170

Step-by-step explanation:

the people involved in the survey were 170

3 0
3 years ago
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