1. What is the solution to negative Start Root 75 End Root to the nearest integer? (1 point)
9
8
-8 - My answer
-9
2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? (1 point)
1 foot - my answer
2 feet
3 feet
4 feet
so, how's that spelling coming along?
and what's with all the words?
-√75 = -8.6
So, -9 is the closest integer
For the quilt, surely you can see that 30 blocks, each 1ftx1ft is only 30 ft^2
170/30 = 5.67
√5.67 = 2.38
However, that might not be a good size, depending on the dimensions of the blanket. If it is the right shape, then 6x5 blocks will fit it.
1. To find the solution to the negative square root of 75 to the nearest integer, you can use a calculator or solve it manually. Here's the step-by-step process:
Step 1: Calculate the square root of 75.
Start Root 75 End Root ≈ 8.6603
Step 2: Since the question asks for the negative value, we need to change the sign to negative.
-8.6603
Step 3: Round the answer to the nearest integer.
The nearest integer to -8.6603 is -9.
Therefore, the solution to the negative square root of 75 to the nearest integer is -9.
2. To find the approximate length of each side of a block given an area of 170 square feet and 30 square blocks, you can use the formula for the area of a square:
Area of a square = side length^2
Here's the step-by-step process:
Step 1: Divide the total area (170 square feet) by the number of blocks (30) to find the average area of each block.
Average area of each block = 170 square feet / 30 = 5.6667 square feet
Step 2: Take the square root of the average area to find the approximate length of each side of a block.
Start Root 5.6667 End Root ≈ 2.38
Since the answer choices do not include an option with decimals, the closest rounded answer would be 2 feet.
Therefore, the approximate length of each side of a block is 2 feet.
1. To find the solution to the expression "Start Root 75 End Root" to the nearest integer, we first need to calculate the square root of 75.
To do this, you can use a calculator or follow these steps manually:
- Start with an initial guess. Let's use 8 as our initial guess.
- Divide 75 by 8, which gives us 9.375.
- Take the average of 8 and 9.375, which is 8.6875.
- Repeat steps 2 and 3 until you get a more accurate value.
- After a few iterations, you would find that the square root of 75 is approximately 8.6603.
Since the original question asks for the nearest integer, we round this value to the nearest whole number, which is 9.
Therefore, the solution to "Start Root 75 End Root" to the nearest integer is 9.
2. To find the approximate length of each side of a block, given that a blanket has an area of 170 square feet and is divided into 30 square blocks of equal size, we can use the formula:
Area of the blanket = Length of each side of a block^2 * Number of blocks
Let's solve this equation for the length of each side of a block:
Length of each side of a block = Start Root (Area of the blanket / Number of blocks) End Root
Substituting the given values:
Length of each side of a block = Start Root (170 square feet / 30 blocks) End Root
Calculating this expression:
Length of each side of a block = Start Root (5.67) End Root
Since the original question asks for the approximate length, we can round the result to the nearest whole number.
Therefore, the approximate length of each side of a block is 2 feet.