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Alex17521 [72]
3 years ago
15

A triangle has side lengths 87cm 21cm and 93cm is the triangle acute obtuse or right

Mathematics
2 answers:
Lana71 [14]3 years ago
6 0
The triangle is obtuse.

Alex_Xolod [135]3 years ago
6 0

Answer:  The given triangle is an obtuse triangle.

Step-by-step explanation:  Let ABC be the given triangle, where the side lengths are as follows :

AB=87~\textup{cm},~~BC=21~\textup{cm},~\textup{and}~CA=93~\textup{cm}.

We are to check whether ΔABC is acute, obtuse or right.

We know that ΔABC will be

(i) Acute, if AB² + BC² > CA²,

(ii) Obtuse, if AB² + BC² < CA²,

(iii) Right, if AB² + BC² = CA².

Now, we have

AB^2=87^2=7569,\\\\BC^2=21^2=441,\\\\CA^2=93^2=8649.

So,

AB^2+BC^2=7569+441=8010

Therefore, the given triangle is an obtuse triangle.

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2)<br> A circle has a radius of 8 cm. What is its circumference?<br> 8 cm
egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0
3 years ago
Help with #15 please
jonny [76]

Answer:

3 gallons of carpet shampoo

Step-by-step explanation:

room area: 16 * 15 = 240 ft

1 gallon carpet shampoo: 80 ft

240/80 = 3

3 gallons of carpet shampoo are needed.

6 0
3 years ago
Find the shaded region.
pashok25 [27]

Answer:

Step-by-step explanation:

let the side of outer square=2x

then x²+x²=(20√2)²

2x²=800

x²=400

x=√400=20 in

2x=2×20=40 in

area of outer square=40²=1600 in²

area of inner square=(20√2)²=800 in²

area of shaded  region A=1600-800=800 in²

8 0
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9 boys can paint a basketball court in 3 hours how long should 1 boy take working at the same rate​
GaryK [48]
1 boy can work about 0.3 hours
i think that’s the answer,but good luck
7 0
3 years ago
Elaine Mellon earns $17.80 per hour as an electric billing specialist for a legal clinic. How many hours per week must she work
Nuetrik [128]

Answer:

17.80/676.4= $38

Step-by-step explanation:

8 0
3 years ago
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