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2 years ago

Solve 58×29 using a area model

Mathematics

2 answers:

r-ruslan [8.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

From the figure attached,

Four rectangles have been formed with different dimensions.

Area of the rectangle with the dimensions = 50 unit by 20 unit

Area of the rectangle = 50×20 = 1000 unit²

Area of the rectangle with the dimensions = 8 unit by 20 unit

Area of the rectangle = 8×20 = 160 unit²

Area of the rectangle with the dimensions = 50 unit by 9 unit

Area of the rectangle = 50×9 = 450 unit²

Area of the rectangle with the dimensions = 8 unit by 9 unit

Area of the rectangle = 8×9 = 72 unit²

Total area of the big rectangle = 1000 + 160 + 450 + 72

= 1682

Therefore, 58×29 = 1682

maksim [4K]2 years ago

3 0

Hope this helps you out.

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Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.

lawyer [7]

Simplifying the given expressions we proceed as follows:
(5sqrt3)^x
=5^x*(3^1/2)^x
=5^x*3^x/2
=5^x3^u
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(1/2)^(x-3)
=1/2^(x-3)
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9/3sqrt(3)
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16/(3sqrt (2^x))
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8 0

2 years ago

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Solve 7x- c= k for x. A. X = 7(k+C) B. x = 7(K-C) C. X = k+c/7 D. X= k-c/7

antoniya [11.8K]

Answer:

Step-by-step explanation:

you add c to both side which will then make it 7x=k+c then you would divide 7 from both sides leaving you with x=k+c/7. Except 7 will be under the k and c.

7 0

2 years ago

Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real

adoni [48]

Step-by-step explanation

<h3>Prerequisites:</h3>

You need to know:

$b^2 - 4ac = 0 \Rightarrow 1 solution$

$b^2 - 4ac > 0 \Rightarrow 2 solutions$

$b^2 - 4ac < 0 \Rightarrow No\ real\ solutions$

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$2x^2-7x-9 = 0$

$b^2 - 4ac$

$-7^2 - 4(2)(-9) = 121$

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$x^2-4x+4 = 0$

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$4x^2-3x-1 = 0$

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$-3^2 - 4(4)(-1) = 25$

2 Solutions

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$x^2-2x-8 = 0$

$b^2 - 4ac$

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$3x^2+5x+3 = 0$

$b^2 - 4ac$

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3 0

2 years ago

Read 2 more answers

Show one way to count from $82 to $512

Sedaia [141]

First way:
The easiest and simplest way is to count by 1 starting from 82 till you reach 512.
This will go as follows:
82, 83, 84, 85, ........... , 510, 511, 512

Second way:
We can note that the two given numbers are even numbers. This means that the two numbers are divisible by 2.
Therefore, we can count by 2 starting from 82 till we reach 512.
This will go as follows:
82, 84, 86, 88, ................... , 508, 510, 512

Third way:
We can note that the units digit in both numbers is the same (the digit is 2). This means that we can count from 82 till 512 by adding 10 each time.
This will go as follows:
82, 92, 102, 112, ......................, 492, 502, 512

Hope this helps :)

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2 years ago

What equation can be used to solve for angle C?

matrenka [14]

The formula for calculating the total interior angle in a regular polygon is given as:

total interior angle = (n -2) 180

where n is the number of sides and since there are sides:

total interior angle = 360°

To get this angle, we know that it is the summation of all angles:

360° = angle A + angle C + angle B + angle D ---> 1

Looking closely, we can see that segments BC and AD are parallel which means that:

angle A + angle C = angle B + angle D ---> 2

Substituting equation 2 to 1:

360 = 2 (angle A + angle C)

angle A + angle C = 180

(x + 16) + (6x – 4) = 180

Answer:

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2 years ago