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a_sh-v [17]
3 years ago
15

Grade 10 trig!! NEED HELP WITH THIS QUESTION

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

x = 73.21

Step-by-step explanation:

Consider triangle ABC. Since angle A is 45° and side BC is 100, then side AB is also 100.

Now consider triangle ABD. With angle A equal to 60°, we can use the definition of tangent to find the value of x:

tan 60 = BD/AB

sqrt(3) = (x + 100)/100

or

x + 100 = 100sqrt(3)

x = 100[sqrt(3) - 1]

= 73.21

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Kevin mowed 12 lawns and earned a total of $60. which rate represents the amount of money earned per lawn?
inna [77]

Answer:

$5 per hour

Step-by-step explanation:

60/12= 5

8 0
3 years ago
1 over 8 + c = 4 over 5 whats x?
Alex Ar [27]
Answer:

c=27/40 = 0.675

Step-by-step explanation:

the statement give us the expression:

1/8 +c= 4/5

we subtract the term "1/8" both sides:

we have:

1/8 -1/8+c= 4/5-1/8

c=4/5-1/8

c=(4*8)-(5*1)/(5*8)

c=(32-5)/(40)

c =27/40 = 0.675
3 0
3 years ago
Read 2 more answers
Where did you get the 300?
stellarik [79]
What’s the question here ????



7 0
4 years ago
$1100 at 8%, for 15 years, compounded annually.
ololo11 [35]

Answer:

$3489.39

Step-by-step explanation:

This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.

The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.

Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.

1) Divide 8 by 100.

8/100=0.08

2) Add 1 to 0.08.

1+0.08=1.08

3) Multiply 1100 by 1.08 to the power of 15.

1100*1.08^{15} =3489.39

3 0
3 years ago
Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

8 0
3 years ago
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