a. 1.68
b. 27.04
c. 29.68
d. 44.80
11 answers
To find the final cost of the bag of dog food after applying the coupon and sales tax, follow these steps:
Thus, the final cost of the bag of dog food is $29.68.
The correct answer is c. 29.68.
To determine the scale used in the architect’s drawing, we can compare the actual width of the garage to the width of the scale drawing.
First, we need to convert the actual width from meters to centimeters since the scale drawing is in centimeters:
Now we have:
Next, we can find the scale by dividing the actual width by the width of the scale drawing:
\[ \text{Scale} = \frac{\text{Actual Width}}{\text{Scale Drawing Width}} = \frac{620 \text{ cm}}{3.1 \text{ cm}} \]
Calculating this gives:
\[ \text{Scale} = 200 \]
This means the scale is 1:200. Therefore, in the scale drawing, every 1 centimeter represents 200 centimeters (or 2 meters) in the actual structure.
Summary: The scale of the drawing is 1:200.
To find the scale in the format "1 centimeter : X meters," we need to establish the relationship between the width of the actual garage and the width of the scale drawing.
We previously converted the actual width from meters to centimeters:
\[ 6.2 , \text{meters} = 620 , \text{centimeters} \]
Now, to find the scale:
\[ \text{Scale factor} = \frac{\text{Actual Width (cm)}}{\text{Scale Drawing Width (cm)}} = \frac{620 , \text{cm}}{3.1 , \text{cm}} = 200 \]
This means that 1 cm in the drawing represents 200 cm in reality. Now, we can convert this back into meters:
\[ 200 , \text{cm} = 2 , \text{meters} \]
Thus, the scale can be expressed as:
\[ \text{Scale: } 1 , \text{centimeter} : 2 , \text{meters} \]
So, the value to enter is:
1 centimeter : 2 meters.
To determine which letters have a higher probability of being drawn than the letter T, we need to compare the probability of each letter to the probability of T.
The probability of drawing T is given as:
\[ P(T) = 0.15 \]
Now let's list the probabilities of the other letters:
Now, we will compare each of these probabilities to \( P(T) = 0.15 \):
Thus, the letters that are more likely to be drawn than the letter T are:
So the final answer is: F and Y.
To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle.
Given that the radius \( r \) is 11.40 centimeters, we can calculate the area:
First, square the radius: \[ r^2 = (11.40 , \text{cm})^2 = 130.96 , \text{cm}^2 \]
Now, multiply by \( \pi \) (approximately 3.14): \[ \text{Area} \approx 3.14 \times 130.96 \approx 410.54 , \text{cm}^2 \]
Now, comparing with the provided options, none of them directly match our result of \( 410.54 , \text{cm}^2 \).
Let's recalculate using \( \pi \) with a more precise value (approximately 3.14159):
This confirms that the area is approximately \( 410.96 , \text{cm}^2 \).
Thus, if we were to round it appropriately and compare to the available options, the closest answer would be:
d. 408.28 cm² (although it is slightly less than our calculation, it appears to be the intended choice based on provided options).
If you need exactness, the calculations lead to somewhere close to \( 410.54 , \text{cm}^2 \), so there could be a rounding consideration in play. If you use an exact calculator or maintain more decimal places through the process, you'll find numbers shift a bit more.
To find the area of a circle with a radius of 11.40 centimeters, we use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius.
First, square the radius: \[ r^2 = (11.40)^2 = 130.96 , \text{cm}^2 \]
Then, multiply by \( \pi \) (approximately 3.14159): \[ \text{Area} \approx 3.14159 \times 130.96 \approx 410.96 , \text{cm}^2 \]
Now, let’s compare this with the available options:
a. 35.81
b. 71.63
c. 129.96
d. 408.28
The closest option to our calculated area of approximately 410.96 cm² is:
d. 408.28 cm².
Therefore, the best choice is d. 408.28.
