1. A car uses fuel at a rate of 10.2L/100 km while travelling at 90 km/h. At this rate of fuel consumption, how many litres of fuel would the car use if it travels 480 km? Express your answer to the nearest tenth of a litre.
10.2L/100km = ______/480 km
How man litres of fuel would the car use if it travels 480 km?
Express your answer to the nearest tenth of a litre.
Question 19: Ron buys 75 shares in a car company. A year later, he sells the shared for $15.64 each. The result is a loss of $260.25. How much did Ron pay for each share? State any assumptions you make.
16 a) The label on a 1-L can of paint states that the paint will cover an area of 10m². What is the length of the largest square area that the paint will cover? Express your answer to the nearest hundredth of a metre.
You just squareroot using a calculator
Round of to the nearest hundredth of a metre.
b) what is the side length of the largest square area that a 3.79-L can of the same paint will cover? Express your answer to the nearest hundredth of a metre.
First off I rounded 3.79 to 3.80.
Then multiply 3.80 by 10
3.80x10 = 38
√38 = 6.164414003 round of to the nearest hundredth
c) Nadia is applying two coats of paint to an area that is 4.6m by 4.6m. How much paint will she use if she applies the same amount of paint for each coat? Express your answer to the nearest tenth of a litre.
21.16x2 = 42.32
42.32 ÷ 10 = 4.232 round to the nearest tenth of a litre
A square field has an area of 1000 m2. Laura wants to walk from one corner of the field to the opposite corner. If she walks at 1.5 m/s, how much time can she save by walking diagonally instead of walking along two adjacent sides? Express your answer to the nearest tenth of a second.
First you would find what the side length of the square is:
Now that you know its 63.24 s walking along the two sides you need to find the diagonal way.
Now you subtract both of them so you can find the difference. Then you have to divide 18.53 by 1.5 which is 12.353 because you know Laura walks 1.5 m/s.
The answer is: If Laura walks diagonally instead of walking the two whole sides, she saves 12.3 s
My Question: Some parks contain fenced gardens. Suppose that it costs $80 to build each metre of fence, including materials and labour.
a) How much does it cost to enclose a square with an area of 120 m²? Express your answer to the nearest dollar. b) Predict whether the total cost of enclosing two squares with an area of 60 m² each is the same as your answer for part a). c) Test your prediction from part b) and describe your findings. part a) The first step is trying to find the square root of 120 by using a calculator. The square root is also the same value as one side of the square garden. √120 = 10.95
Because there are 4 sides in a square, you need to multiply 10.95 by 4. 10.95 x 4 = 43.8 Then, you need to multiply the number above by $80 to the the final answer. 43.8 x $80 = $3504 The cost of enclosing a square with an area of 120 m² is $3504 part b) Following the same procedure we used for part a), find the square root of one square with an area of 60 m² √60 = 7.74 7.74 x 4 = 30.96 30.96 x 80 = 2476.8 And because we are finding the area of two 60 m² fenced gardens, multiply that previous answer by two. 2476.8 x 2 =$4953.6 As you can see, the results are Not The Same. c) I predicted that the costs for the fenced gardens would not be the same because two 60 m² squares have a total of 8 sides, and a 120 m² only has four sides, therefore I knew that the area would of the 60 m² would be larger because of the greater amount of sides.
The area of a triangle can be determined using Heron's formula, which requires the side lengths of the triangle.
Heron's formula is A=√s(s-a)(s-b)(s-c). In the formula A is the area; a,b and c are the side lengths; and s is half the perimeter or a+b+c.
2 Determine the area of each triangle with the following side lengths.
Express each area to the nearest tenth of a square centimetre.
a) 15cm, 12cm, 10cm
s= half the perimeter
we have to round it to the nearest tenth of a square centimetre.
For this question I had to find the distance of how much a person can see across the ocean to the horizon. I know that in order to find the distance you have to find the square root of 12.74 x h. The height is how much the person's eyes are above the water.
~First I re - wrote the formula.
~Then I found out the height of how much meters Adele's eyes are above the water which was 4.1 m.
~Next I multiplied 12.74 x 41. Then I got the answer of 52.234.
~Lastly now I have to find the square root of 52.234, so I got the answer of around 7.2273 km. Then I rounded my answer to 7.20 km.
In this question it is very similar to the first one. The only thing different I have to do in convert the height which was 165 cm into m. I did this by dividing 165 by 100 because there is 100 cm in 1 meter.
First I re - wrote the formula.
Then I found the height that Brian was above the water, which was 165 cm then converted in 1.65 m.
Then I finally multiplied 12.74 by 1.65 and got the answer of 21.021.
Lastly I found the square root of 21.021 and I got around 4.5848 km, and rounded this answer to 4.6 km.
In this question I converted the height of Yvonne's eyes above the water into meters by multiplying 5 ( The height in km. ) by 1000 because there is 1000 meters in 1 kilometer.
First I re - wrote the formula.
Then I found the height that Yvonne's eyes were above the water, which was 5 km then I converted it to 5000 m.
Then I multiplied 12.74 by 5000 and got a product of 63700.
Lastly I found the square root of 63700 and got an answer of around 252.2885 km and then I rounded it to 252.4 km.
A square picture with an area of 100cm² is mounted on a square piece of matting. The matting has 2.5 times the area of the picture. If the picture is centered on the matting, what width of matting is visible around the outside of the picture. Give your answer to the nearest tenth of a centimeter.
So we know that the picture in the middle is 100cm²
So I if we find out what 100cm² x 2.5 is we get 250. Now we need to find the square root of 250 which we get 15.8cm.
The space between the 10cm and 15.8cm line is 5.8cm if we move the square in the middle to the very center, that is like splitting that space in half, so 5.8÷2 you get 2.9cm
In today's Math class we found out how square roots work.
Examples that was given by Mr. Backe are:
√121=11 √81 =9 √36=6
√12.1 ≠1.1 because if you use a calculator the answer will be 3.48. But if you estimate it, the easy way to figure it out is to find the closest perfect square in this case √12.1 is close to √9 and √16. Then you find out the distance between √9 and √16 and it will be 7 so the answer will be close to 3 and 3/7. Which is 3.428.
The same thing will happen for √8.1 and √3.6. But √8.1 ≠0.9 and √3.6 ≠0.6, and √3.6 equal to 1.897 and √8.1 equals to 2.846
Question: Determine √√√65 536 1. √65 536 = 256 √65 536 is a perfect square because when you multiply 256 x 256, it equals 65 536. √65 536 = 256 x 256 2. √256 = 16 √256 is a perfect square because when you multiply 16 x 16, it equals to 256. √256 = 16 x 16 3. √16 = 4 √16 is a perfect square because when you multiply 4 x 4, it equals to 16. √16 = 4 x 4
Since there are three square root signs (radicals), that means you keep square rooting the given number three times.
Question: Li and Ray shared a vegetarian pizza which was cut into eight equal pieces and the Hawaiian pizza into six equal pieces. Li ate two slices of vegetarian pizza and one slice of Hawaiian pizza. Ray ate two slice of Hawaiian pizza and one slice of vegetarian pizza.
A) Who ate more pizza?
Ray ate more because:
Li: Veggie pizza- 2/8 and Hawaiian pizza 1/6
Ray: VP- 1/8 and Hawaiian pizza 2/6
I found the lowest common denominator for 6 and 8. Which was 24.
Then also multiplied the numerator with the same number which I multiplied with the denominator.
Li: VP 2/8 x 3/3 = 6/24
HP 1/6 x 4/4 = 4/24
4/24 + 6/24= 10/24
Ray: VP 1/8 x 3/3= 3/24
HP 2/6 x 4/4 = 8/24 3/24+ 8/24= 11/24
Also 6ths are much bigger pieces than 8ths so if you had more sixths you probably had more pizza because they were bigger pieces.
B) How much more pizza did that person eat?
C) How much pizza was left over?
13/24 or 5/8 of veggie pizza and 3/6 of Hawaiian pizza.
In everyday speech, in a jiffy means in a very short time. In science, a specific value sometimes assigned to a jiffy is 1/100 s.
Naima can type at 50 words/min. On average, how many jiffies does she take to type each word.
She takes up to 120 jiffies to type each word.
Please make any suggestions. This was kind of rushed.