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tankabanditka [31]
2 years ago
7

Given the side measurements. classify the triangle as acute, right, obtuse, or not a triangle. 11, 4, 16

Mathematics
1 answer:
serg [7]2 years ago
3 0

Answer: not a triangle

Step-by-step explanation:

If this were to be a triangle, the shorter sides would be 11 and 4 and the longest side would be 16.

First, we should determine if it is a triangle.

  • Sum of shorter sides = 15
  • This is less than the longest side, 16, so therefore, it is <u>not a triangle</u>.
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I need help pls help me
lutik1710 [3]

First Method:

Round \frac{3}{5} to the closest integer, which is 1.

Round \frac{3}{4} to the closest integer, which is also 1.

So 1 + 1 = 2.

Answer for method 1: 2

Second Method:

\frac{3}{5} + \frac{3}{4} = \frac{3*4}{5*4} + \frac{3*5}{4*5}  = \frac{12}{20}+\frac{15}{20}=\frac{27}{20}

\frac{27}{20} is around 1

Answer for method 2: 1

The closest answer is 1.

3 0
2 years ago
The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers
Usimov [2.4K]

Answer:

x= -13

y= -28

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x-y=15

5x=2y-9

Use substitution to substitute one equation into another. Then solve for the variable.

x=15+y into 5x=2y-9

becomes

5(15+y) = 2y-9

75+5y = 2y- 9

75+3y= -9

3y = -84

y= -28

To find x, substitute y= -28 into one equation.

x - (-28) = 15

x+28 =15

x = 15-28

x=-13




6 0
3 years ago
Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store. The number of ret
Tatiana [17]

Answer:

0.0273

Step-by-step explanation:

np  n

10  100

9    100

11   100

7    100

3   100

12  100

8   100

4    100

6    100

11   100

pbar=sumnp/sumn

pbar=10+9+11+7+3+12+8+4+6+11/10+10+10+10+10+10+10+10+10+10

pbar=81/1000

pbar=0.081

nbar=sumn/k=1000/10=100

Standard deviation for pbar chart=\sqrt{\frac{pbar(1-pbar)}{nbar} }

Standard deviation for pbar chart=\sqrt{\frac{0.081(0.919)}{100} }

Standard deviation for pbar chart=\sqrt{\frac{0.0744}{100} }

Standard deviation for pbar chart=\sqrt{0.0007444 }

Standard deviation for p-chart=0.0273

3 0
3 years ago
Use spherical coordinates to evaluate the
kotykmax [81]

Answer:

4096π / 5

Step-by-step explanation:

∫∫∫ (x² + y² + z²) dV

In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.

E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.

∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)

∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ

Evaluate the first integral.

∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ

∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ

¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ

Evaluate the second integral.

¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ

¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ

²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ

Evaluate the third integral.

²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ

²⁰⁴⁸/₅ π (-cos π + cos 0)

²⁰⁴⁸/₅ π (1 + 1)

⁴⁰⁹⁶/₅ π

5 0
3 years ago
Solve for x.<br> 7x= 11.2
Svetlanka [38]

Answer:

X = 1.6

Step-by-step explanation:

Divide 7 on both sides:

7x = 11.2

x = 1.6

X, therefore, is 1.6.

<em>Hope this helps!!</em>

<em>- Kay :)</em>

8 0
3 years ago
Read 2 more answers
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