The shadow's length measures 96.6. To find the distance, you can use a right-angle triangle method if you know the angle of elevation. Here, (a) is the adjacent side, (b) is the hypotenuse, and (c) is the opposite side. We know that the adjacent side (a) equals 40, while the opposite side (b) is unknown. The tangent of the angle θ is given by opposite/adjacent; thus, tan 67° = opposite/40. Therefore, the opposite side equals tan 67° multiplied by 40, leading to an adjacent length of 96.6.
The smallest number of trips he must make is 5. Since he can carry only 3 bottles per trip, 5 trips would allow him to transport 15 bottles.
Though it might seem like 4 trips could suffice, as 4 times 3 is 12, that's one bottle short of 13.
Hence, an additional trip is needed to carry the last bottle, totaling 5 trips.
Answer:
y=4x+7.75; continuous
Step-by-step explanation:
Let’s first establish the equation. Julie requires one segment of yarn measuring 7.75 inches: that's already known.
y = 7.75
Now, for the four pieces of yarn, each will be of equal length x. If she wants them to measure 1 inch, she'd need 4 inches of yarn. Therefore, the calculation would be:
y = 7.75 + 4x
Now, is this graph discrete or continuous? Continuous indicates there's a smooth line without gaps, while discrete has interruptions or spaces. In this scenario, x is continuous, as Julie can cut the yarn to any size for the four pieces. She is not limited to whole numbers; each piece could be, for instance, 2.5 inches or 3.1415 inches.
Answer:
The price per kilogram of salami amounts to = $9.1
Step-by-step explanation:
Given:
Hailey spent $13 on
kg of sliced salami.
We need to determine the cost per kg of the salami.
Solution:
We will use the unitary method to find the cost for one kilogram of salami.
If
kg of salami costs $13
Then the cost for 1 kg of salami in dollars = 
When dividing mixed numbers, we convert them to fractions.
⇒ 
⇒ 
To divide fractions, we take the reciprocal of the divisor and multiply.
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the cost per kilogram of salami is = $9.1
Step-by-step explanation: We have the dimensions of a rectangular field given in feet. We are informed that an extension of

feet is made to each side. Therefore, the new dimensions can be calculated accordingly. Hence, they are presented as .