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elena55 [62]
2 years ago
10

Convert 89/10 into a mixed number ​

Mathematics
2 answers:
kompoz [17]2 years ago
6 0

Answer:

8 9/10

Step-by-step explanation:

89 goes into 10 8 times.

8x10=80.

89-80=9

So the answer is 8 9/10

gregori [183]2 years ago
3 0

Answer:

10 8/10

Step-by-step explanation:

the rest is just to get to 20

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If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
Dmitry [639]

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

3 0
3 years ago
Someone help please! :)
Tema [17]
The domain of a function refers to the interval of x values where the graph is defined. In order for the function to be at least 600, the x values must be between 0 and 20. 

The answer is:

0 \leq x \leq 20
4 0
3 years ago
A student says that the sum difference, product and quotient of two
anastassius [24]

Answer:

The quotient of two integers may not always be an integer.

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Step-by-step explanation:

The student is not largely correct!

The sum, difference, and product of two integers is indeed always an integer.

But, the quotient of two integers may not always be an integer.

  • For example, the quotient of integers 4 and 2 will be an integer.

i.e.

4/2 = 2

  • But, if we take the quotient of 2 and 3, the result will not be an integer.

i.e.

2/3 = 0.67

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

7 0
2 years ago
Which is the equation of the line with a slope of 9 that goes through the point (1,10.6)?
Lilit [14]

Answer: y - 10.6 = 9(x-1)

Step-by-step explanation:

6 0
3 years ago
What is the equation of the line in slope-intercept form?
Sladkaya [172]

Answer:

equation: y = -6x -20

Step-by-step explanation:

pass (0,-20) (-10,40)

y = mx + b

y intercept (b) = -20

slope (m) = (40 - -20) / (-10 - 0) = 60 / -10 = - 6

equation: y = -6x -20

3 0
3 years ago
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