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Ainat [17]
2 years ago
13

Instructions: Find the missing side. Round your answer to the nearest

Mathematics
1 answer:
ch4aika [34]2 years ago
7 0

Answer:

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x              Multiply both sides by x

x * Tan(51) = 16            Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96

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The running trail in the local park is 3.416 miles long. If the park board were planning to extend the trail by 1.34 miles, what
morpeh [17]

Answer:

4.756 miles

Step-by-step explanation:

It is given that,

The running trail in the local park is 3.416 miles long. If the park board were planning to extend the trail by 1.34 miles.

We need to find the new length of the running trial. It is equal to the sum of length of running trail and the extended length. So,

l = 3.416 +1.34

l = 4.756 miles

So, the new length of the running trail be 4.756 miles

7 0
3 years ago
If f(x)= x^2 and g(x) = 4f (x)-1 then which of the following is the value of g (-3)
Sati [7]

Answer:

<h3>27</h3>

Step-by-step explanation:

Given

f(x)= x^2-2 and g(x) = 4f (x)-1

g(x) = 4(x^2-2) - 1

g(x) = 4x²-8-1

g(x) = 4x²-9

Get g(-3):

g(-3) = 4(-3)²-9

g(-3 = 4(9) - 9

g(-3) = 36-9

g(-3) = 27

6 0
3 years ago
The simple interest charged on a 65-day loan of $1,290 is $5.75. Find the annual simple interest rate (in percent) for this loan
Elan Coil [88]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

P represents the principal or initial amount invested or collected as a loan.

R represents interest rate.

T represents the duration of time in years before the loan is bald back.

From the information given,

P = 1290

I = 5.75

Since there are 365 days in a year,

t = 65/365 = 0.1781 years

Therefore,

5.75 = (1290 × r × 0.1781)/100

5.75 = 229.749r/100 = 2.29749r

r = 5.75/2.29749

r = 2.5027

Rounding to the nearest percent,

r = 3%

5 0
3 years ago
Read 2 more answers
If the simple interest rate is 5%p.a. , how long does it take for the amount to become twice the principal
solong [7]
A = P + I
2a = a + PTR/100
2a = a + 5aT/100
2a = a(1+T/20)
2=1+T/20
T=20 yrs

3 0
3 years ago
40x=10x^2+41 <br><br> Identify the number of solutions and their types using the discriminant
nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: 40x=10x^2+41\\

Rearranging:

40x-10x^2-41=0\\10x^2-40x+41=0

Discriminant can be found by: b^2-4ac

where b=-40, a=10 and c=41

Putting values:

b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/9184197

#learnwithBrainly

6 0
3 years ago
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