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lesya [120]
3 years ago
7

using pythagorean inequalities, determine which set of the given three sides produces an acute triangle.

Mathematics
2 answers:
Kruka [31]3 years ago
5 0
To solve this problem, you need to use the Phythagorean theorem c^2 is equal to the sum of a^2 and b^2. If a less than or equal to b and b is less than or equal to c or a^2 plus  b^2  is greater than c^2 then it is an acute angle. 
Basile [38]3 years ago
4 0
<span>pythagorean inequalities includes 3 cases assuming a , b ,c are three sides of the triangle
 
if c^2>a^2+b^2 then its obtuse
if c^2<a^2+b^2 then its acute
if c^2=a^2+b^2 then its right</span>
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Maria has 37 pieces of fruit to make fruit baskets as gifts for her 5 teachers.
agasfer [191]

Answer: The answer would be C

Step-by-step explanation:

37 + 5 = 42

Each teacher needs 8 and there are 5 teachers

5 x 8 = 40

So each teacher can have 8 apples and there will be two left over

7 0
3 years ago
A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000
Nina [5.8K]

Answer:

The angle will be "48.7°".

Step-by-step explanation:

In ΔTBO, the given values are:

TB = 6,000 feet

BO = 9,000 feet

Now,

To find the angle,

⇒  Cos \ B =\frac{TB}{BO}

On putting the estimated values, we get

⇒   Cos \ x=\frac{6000}{9000}

⇒   Cos \ x=0.66

⇒          x=Cos^{-1} \ 0.66

⇒          x=48.7^{\circ}    

7 0
3 years ago
Read 2 more answers
A jar contains n nickels and d dimes there are 30 coins in the jar and the total value of the coins is $2.10 Set up and solve a
Gekata [30.6K]

Answer:

12 dimes and 18 nickels

Step-by-step explanation:

Equations given by word problem:

n + d = 30

0.05n + 0.1d= 2.10

How I solved them:

d= 30 - n

0.05n + 0.1(30 - n)= 2.10

0.05n + 3 - 0.1n= 2.10

-0.05n= -.09

Divide both sides by -0.05

n= 18

18 + d = 30

d= 12

8 0
3 years ago
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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio
icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = \frac{1}{2}\pi r^{2}

                                     = \frac{1}{2}\pi (OP)^{2}

                                     = \frac{1}{2}\pi (4)^{2}

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

                                              = 6.88 cm²

3 0
3 years ago
What is the area of the figure?
son4ous [18]
Yes. 95 is correct.
You have three congruent "indentations" in the right hand side. Thus each section must be 15/3 = 5 cm long.
The top rectangle will be 8*5 = 40 cm^2
The bottom rectangle will also be 8*5 = 40 cm^2
The middle area will be 5(8-5) = 5 * 3 = 15 cm^2
40 + 40 + 15 = 95

5 0
3 years ago
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