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Vesna [10]
2 years ago
6

It is 1.9 miles from a house to a restaurant and 1.2

Mathematics
1 answer:
stiks02 [169]2 years ago
7 0

9514 1404 393

Answer:

  2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

  c² = a² +b² -2ab·cos(C)

  c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

  c ≈ √4.811348 ≈ 2.193

It is about 2.2 miles across the water from the pier to the restaurant.

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Triangle FGH is similar to triangle DEF. solve for p
malfutka [58]

Answer:

We get value p=16

Step-by-step explanation:

When triangles are similar, the ratio of corresponding sides is equal.

In the given triangles we have to find value of p

We have the ratio: (Can use ratio of any two sides)

\frac{HF}{PD} =\frac{GF}{ED}

Now, putting values and finding p

\frac{12}{p}=\frac{24}{32}\\Cross\:Multiply\\12\times 32 = 24 p\\p=\frac{384}{24}\\p= 16

So, we get value p=16

8 0
3 years ago
What does the remainder theorem conclude given that f(x)x+3 has a remainder of 11?
Slav-nsk [51]

By the remainder theorem of polynomial division, the complete equation is f(-3) = 11

<h3>How to complete the blanks?</h3>

The equation is given as:

f(x)/x + 3

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Given that the quotient has a remainder of 11.

It means that:

f(-3) = 11

Hence, the complete equation is f(-3) = 11

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

5 0
2 years ago
write an equation using ''x'' and then solve the equation. on the new year eve there were 7,580 tons of cargo loaded in the morn
vovikov84 [41]

Answer:  12,997 - 7,580 = x

x= 5417

Step-by-step explanation: 12,997 - 7580 = 5417

Hope this helps

8 0
3 years ago
Evaluate 4!. 4 12 24
jenyasd209 [6]
4! means the following:
4!=4\times3\times2\times1=24
3 0
3 years ago
Read 2 more answers
What is the ratio of y to x? Without extending the table, what would the value for y be when x = 54?
Ipatiy [6.2K]
The y is going to be 165 if the x is 54 because you need to multiply by 3 each time.
8 0
3 years ago
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