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jok3333 [9.3K]
3 years ago
8

Sara’s even holds55 gallons of gas.the TVs fuel guage show that the tank is on quarter full.can Sara drive 100 miles before she

stops for gas?justirfy your reason
Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
There is no answer; not enough information. You don't know how many miles to the gallon the car makes.
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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
3 years ago
Just do these two problems for me and I’ll be so happy
sveticcg [70]
5. y = x + 7
6. y = -x + 1
4 0
2 years ago
How many more sides does an octagon have than a pentagon?
madam [21]

Answer:

an octagon has 3 more sides then a pentagon

Step-by-step explanation:

A pentagon has 5 sides while a octagon has 8 sides and 8 -5=3

8 0
3 years ago
Read 2 more answers
At sunset the temperature was 4 dgrees. the next morning at sunset it was -7 degrees. what is the difference betweeen these temp
DedPeter [7]

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

#SPJ4

8 0
1 year ago
Using the figure below, write the ratio for tan (C).<br> А<br> 25<br> C<br> 7<br> 24<br> B
miv72 [106K]

Answer:

come have it with me

Step-by-step explanation:

4 0
3 years ago
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