If 39 = (1 3/10)b, we could simplify this by writing 39 - (13/10)b.
Solve this for b by mult. both terms by (10/13):
(10*39)
----------- = (10/13)(13/10)b. Then b = 30 (answer)
13
Answer:
57 miles per hour
Step-by-step explanation:
Speed is equal to distance over time
I changed the fractions to decimals for ease of math
distance = 370 .5 miles
time = 6.5 hours
Speed = 370.5/6.5 = 57 miles/hour
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
The difference between these temperatures for the sunset is found as 11 degrees.
<h3>What is temperature difference?</h3>
In science, the term Delta T (ΔT) refers to the temperature between two measuring points. The temperature varies according to time and/or location.
Some key features regarding the temperature difference are-
- Merus, for example, uses it to assess the effectiveness of such a heat exchanger.
- Or to evaluate the effectiveness of a heating or cooling system.
- A fourth letter of a Greek alphabet is, (Δ). Whereas is the capital letter symbol and the lower case letter.
- The sign is also used in mathematics. Describes the "difference" between any two changeable quantities. T is a value in a process that represents a difference between two observed temperatures.
Now, according to the question;
Let the initial temperature be 'T' = 4 degrees.
Let the final temperature be 't' = -7 degrees.
Therefore, the temperature difference is;
ΔT = T - t
= 4 - (-7)
= 4 + 7
ΔT = 11
Therefore, the difference between these temperatures is 11 degrees.
To know more about the temperature difference, here
brainly.com/question/24746268
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