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xeze [42]
2 years ago
5

Which of the following uses estimation to check 267 – 154 = 113? 

Mathematics
1 answer:
Arturiano [62]2 years ago
5 0
Estimation is taking the general values of an equation to find an answer that is close to the actual answer.

Round the numbers in the equation to their tens places by checking their ones value:

267
7 > 5
267 -> 270

154
4 < 5
154 -> 150

Subtract these two rounded values:

270 - 150 = 120

The answer that has this equation is D.
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A cross shaped pattern is made by arranging four identical rectangles around the sides of a square. The area of the square is 36
kipiarov [429]

Answer:

Area of a square is length * length

Area of a rectangle is length * breadth

In the question, the area of the square is 36

And the area of the rectangle is 1(1/3) the area of the square

To find the area of the rectangle, multiply 1(1/3) by the area of the square(36)

Area of rectangle becomes, 1(1/3) * 36 = (4/3) * 36 = 48cm2

To find the perimeter of the shape, we must find the perimeter of the rectangle - perimiter of the square

Since area of square is length * length, the length of the square is 6cm

The breadth of the rectangle is equal to the length of the square, hence, b = 6cm

Since, length * breadth = 48

l * 6 = 48

l = 8

Perimeter of the shape = 4 * perimeter of rectangle - perimter of square

Perimeter of rectangle = 2(l+b)

Perimeter of sqaure = 4l

Our answer = 4 * 2(6+8) - 4(6)

= 4 * 28 - 36

= 88cm  

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which is a factor of 5x2 − 15x − 20?
Sholpan [36]

Answer:

x= -1, x=4

Step-by-step explanation:

5x²-15x-20

5x²-20x+5x-20=0

5x(x-4) +5(x-4)

(5x+5) (x-4) =0

5x=-5 or x=4

x= -5/5. or x=4

x= -1 or x=4

7 0
2 years ago
Trapezoid STUV with vertices S(-3,6),T(0,7),U(1,4),and V(-5,2): (x,y)&gt;(x+7,y-9)​
hjlf

Answer:

See below

Step-by-step explanation:

<u>Given points:</u>

  • S(-3,6),T(0,7),U(1,4),and V(-5,2)

<u>Translation rule: </u>

  • (x,y) → (x+7,y-9)​

<u>New coordinates by applying the rule:</u>

  • S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)

See attached for the graph

The blue trapezoid is STUV and the red one is S'T'U'V'

7 0
2 years ago
Sketch the region of integration for the following integral. ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ
solong [7]

Answer:

The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

Step-by-step explanation:

We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line  x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

3 0
2 years ago
The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi
Leokris [45]

Answer:

75.

Step-by-step explanation:

If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.

The percentile 50 falls in the middle of this range, therefore, the value that represents the  50th percentile will be:

(65 +85) / 2 = 150 / 2 = 75.

4 0
2 years ago
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