Answer:
There was an association between taking breaks and better performance, but it's not necessarily a causal relationship.
Step-by-step explanation:
Answer:
Fraction: 81/100
Decimal: 0.81
Percentage: 81%
Step-by-step explanation:
The question is complete but the diagram mentioned can be found in
brainly.com/question/12188410
First step is to find the area of the whole square and then the area of the part that was shaded.
From the diagram, there are 100 squares in the whole square. 81 of those squares are shaded.
Area of the whole square = 10 by 10
= 10×10 = 100unit²
Area of shaded region = (10 by 8) + 1
= 80+1 = 81unit²
shaded area expressed as a fraction = 81unit²/100unit²
= 81/100
Shaded area expressed as a decimal = 81/100
You take the number 81 and carry the point by two decimal place from the right
= 0.81
Shaded area expressed as a percent of the whole = (81/100) × 100
= (81×100)/100
= 81%
Answer:
x = 3
y = 5
Step-by-step explanation:
Using theorem of similar triangles, we have,
(6 + x)/6 = (7 + 3.5)/7
(6 + x)/6 = 10.5/7
Cross multiply
7(6 + x) = 10.5(6)
42 + 7x = 63
7x = 63 - 42
7x = 21
x = 21/7
x = 3
Thus:
7.5/y = (7 + 3.5)/7
7.5/y = 10.5/7
Cross multiply
7.5*7 = 10.5*y
52.5 = 10.5*y
Divide both sides by 10.5
52.5/10.5 = y
y = 5
Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
