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Ad libitum [116K]
3 years ago
11

Tisha tried to evaluate an expression. Here is her work: 490÷729–23 = 490÷499–23 Step 1 = 109–23 Step 2 = 90–23 Step 3 = 883 Ste

p 4 = 264 Step 5 Is Tisha's work correct?
Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

No, she made mistake from step 3, going to step 4

Step-by-step explanation:

See attachment for complete expression and Tisha's steps

Required

Is she correct?

The steps up to step 3 is correct.

However, going to step 4; she made a mistake

Her expression is:

Step 3: 90 - 2 * 3

The correct step is to multiply 2 by 3 (using BODMAS)

This will give:

90 - 6

84

But instead she evaluated the subtraction first, which is incorrect.

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What is the best approximation for the area of this circle?
butalik [34]

Area =113.0ft^2 . Correct option is D) 113.0 ft² .

<u>Step-by-step explanation:</u>

Here we have , A circle labeled with radius = 6 ft . We need to find the best approximation for the area of this circle . Let's find out:

We know that area of circle = \pi r^2 , We have following parameters as

Radius = r = 6 ft\\\pi = 3.14\\Area= \pi r^2 = ?

So , Area of circle is

⇒ Area =\pi r^2

⇒ Area =(3.14) (6)^2

⇒ Area =(3.14) (36)^

⇒ Area =113.04ft^2

On Rounding off

⇒ Area =113.0ft^2

Therefore , Area =113.0ft^2 . Correct option is D) 113.0 ft² .

5 0
3 years ago
Read 2 more answers
Solve for x in the diagram below
mario62 [17]
Answer: x° = 20

Steps:
100 + x + 3x = 180
x + 3x = 80
4x = 80
x = 80/4
x = 20

Check:
100 + x + 3x = 180
100 + 20 + 3(20) = 180
100 + 20 + 60 = 180
180 = 180 ✅
7 0
3 years ago
What are the zeros of this function?​
Yakvenalex [24]

Answer: 0 and 5

Step-by-step explanation: The zeros of the function are the points were the graph pass through x - axis

5 0
4 years ago
Find two consecutive whole numbers that the square root of 105 lies between
erastovalidia [21]

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

4 0
3 years ago
Solve the right triangle. Will give points!
Anna [14]

Answer:

  • EF = 4.1
  • DE = 9.1
  • m∠F = 66°

Step-by-step explanation:

The hypotenuse and one acute angle are given. The relevant relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

For the given triangle, these tell us ...

  sin(24°) = EF/DF = EF/10

  EF = 10·sin(24°) ≈ 4.1

and ...

  cos(24°) = DE/DF = DE/10

  DE = 10·cos(24°) ≈ 9.1

The remaining acute angle is the complement of the given one:

  F = 90° -D = 90° -24°

  ∠F = 66°

6 0
2 years ago
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