The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.The bigger square is x+3 on all 3 sides.
The smaller square is x on every side.
Answers
Big square: side length = x + 3
Small square: side length = x
Area of a square = a² where a represents the side length.
Area of big square = (x+3)²
A = (x+3)(x+3)
A = x(x+3) + 3(x+3)
A = x² + 3x + 3x + 9
A = x² + 6x + 9
Area of small square = x²
Total Area = Area of Big square + Area of Small square
Total Area = x² + 6x + 9 + x²
Total Area = 2x² + 6x + 9
Related Questions
Sam took his family to the zoo. An adult's ticket is two times the cost of a child's ticket. The total cost for two adults' tickets and three children's tickets was $28. How much do the tickets cost?
a soccer goal is in the shape of a triangular prism. the base and height of the right triangles at the sides of the goal measure 4 feet and 8 feet and the opening along the front is 24 feet long. how many cubic feet of space is 24 feet long. how many cubic feet of space is contained within this goal?
What is the perimeter of a rhombus whose diagonals measure 42cm and 56cm?
write an equation in standard form for the line that passes through the points (4,5) and has a slope m= 2/3
goalpost, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.4 meters to the other side of the mirror, until she can see the top of
the goalpost clearly marked in the X. Her partner measures the distance from her
eyes to the ground to be 1.65 meters. How tall is the goalpost? Round your answer to
the nearest hundredth of a meter.
Answers
The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.
Correct response:
- The eight of the goalpost is approximately 16.91 meters.
Methods used to calculate the height
The length Chee is using the mirror to measure = The height of her school's football goalpost
The distance of the mirror from the goalpost = 14.35 meters
The distance on the other side of the mirror Chee steps to = 1.4 meters
The distance from her eyes to the ground =1.65 meters
Required:
How tall is the goalpost.
Solution:
By using similar triangles relationships, we have;
Which gives;
- The height of the goalpost, h ≈ 16.91 meters
Learn more about similar triangles here:
The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute.
The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft.
The slope is -50 ft per minute. The balloon is falling at 50 ft per minute.
It will take the balloon 20 minutes to reach the ground.
Answers
Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is
The height of balloon is defined as
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0
Therefore the options 3, 4 and 5 are correct.
Answers
The probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6
The sample space of a single die is
So, the total sample is 6
The odd numbers are
--- 3 odd numbers.
So, the probability of selecting an odd number is:
Simplify
The numbers greater than 4 are
--- 2 numbers greater than 4.
So, the probability of selecting a number greater than 4 is:
Simplify
The probability of rolling an odd number the first time and a number greater than 4 the second time is calculated as follows:
So, we have:
Hence, the probability is 1/6
Read more about probabilities at:
Answer: 1/6
Step-by-step explanation:
A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.
Odd numbers in a die = 1, 3 and 6
Numbers greater than 4 = 5 and 6
Probability of rolling an odd number = 3/6 = 1/2
Probability of rolling a number greater than 4 = 2/6 = 1/3
We then multiply both values gotten. This will be:
= 1/2 × 1/3
= 1/6
Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.
Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising?
A) Amanda's method is linear because the number of minutes increased by an equal number every week.
B) Billy's method is linear because the number of minutes increased by an equal factor every week.
C) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week.
D) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.
Answers
1st week 10 5
2nd week 20 10
3rd week 30 20
4th week 40 40
A) Amanda's method is linear because the number of minutes increased by an equal number every week.
common difference is 10.
1st week 0 + 10 = 10
2nd week 10 + 10 = 20
3rd week 20 + 10 = 30
4th week 30 + 10 = 40
Billy's method is exponential:
5(2)^x
1st week 5(2⁰) = 5(1) = 5
2nd week 5(2¹) = 5(2) = 10
3rd week 5(2²) = 5(4) = 20
4th week 5(2³) = 5(8) = 40
Answer:
A
Step-by-step explanation:
She's got it ^^^
Answers
Answer:
30.4
Step-by-step explanation:
80x38/100
X=(38*80)/100
X=30.4
Answers
Cos(X) = 1
X=Cos -1 (1)
X= 0