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Anit [1.1K]
3 years ago
7

Simplify four over seven divided by five over eight.

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
The answer is 0.9142 hope this is right
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Prove that a parallelogram is a square iff its diagonals are both congruent and perpendicular
Juliette [100K]
Consider the parallelogram shown below.
The lengths of the sides are a and b.
The lengths of the diagonals are 2x and 2y.

Because the diagonals are both congruent and perpendicular, therefore there are two right triangles as shown.
Note that x = y.
Because x = y, each right triangle is isosceles and has the angles 90°, 45° and 45°.

From the Pythagorean theorem,
For one right triangle,
a² = x² + y² = x² + x² = 2x².
For the other right triangle,
b² = y² + x² = x² + x² = 2x²

Therefore
a² = b²
a = b

It follows that all sides of the parallelogram are equal and each angle is
45+45 = 90°

Therefore the parallelogram is a square.

6 0
3 years ago
Acone has a height of 2.5 in, and a radius of 5 in. What is the volume of the cone? (Use 3.14 for s. Round the answer to two
arlik [135]

Answer:

Step-by-step explanation:

8 0
3 years ago
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
3 years ago
A geologist noticed that a land along a fault line moved 24.8 centimeters over the past 175 years . On average, how much did the
olasank [31]

Answer:

On average, the land moved 0,14 cm each year.

Step-by-step explanation:

To know how much did, on average, the land move,  we should divide the total number of cm over the total number of years:

x=24.8 cm/175 years

x=0,1417 cm each year

If we divide years over cm we will get x in years each cm, which is wrong.

Because the problem asks for the answer rounded to the hundredths place:

x= 0,14 cm each year

8 0
3 years ago
Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)
boyakko [2]

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

8 0
2 years ago
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