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Viefleur [7K]
3 years ago
10

1,325 times 10 with one zero added

Mathematics
2 answers:
elixir [45]3 years ago
6 0

Answer:13,250

Step-by-step explanation:

choli [55]3 years ago
3 0
13,250 is the answer
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Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions
liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0
3 years ago
Write and evaluate the expression. Then, complete the statements. Ten less than the quotient of thirty and a number Evaluate whe
Artyom0805 [142]

Answer:

expression:  (30/t) - 10

evaluation:  30/2 - 10 = 5

Step-by-step explanation:

8 0
3 years ago
Jack collected 1350 pounds of waste paper for recycling today. If he decided to collect 24% more pounds of waste paper tomorrow,
miv72 [106K]

324 pounds

24% = \frac{24}{100} = 0.24

0.24 × 1350 = 324 pounds

He should collect 324 more pounds of waste paper


7 0
3 years ago
S<br><img src="https://tex.z-dn.net/?f=s%20%3D%20ut%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20at%20%7B%7D%5E%7B2%7D%20" id="TexFormula1
Dafna1 [17]

Answer:

n=sx

Step-by-step explanation:

7 0
3 years ago
Why does -2 to the second power equal -4 but (-2) to the second power equals 4?
kirza4 [7]
In -2^2 since the negative sign is not in parentheses you would solve it as 2×2=4 and then have the negative sign so it would be -4. With the parentheses you are saying that the term you are squaring is (-2) and two negatives make a positive so it would be (-2)×(-2)= 4.
3 0
3 years ago
Read 2 more answers
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