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CaHeK987 [17]
3 years ago
9

I need some help with this problem.

Mathematics
1 answer:
AnnZ [28]3 years ago
5 0
So we are dealing with a 30-60-90 triangle obviously. This is one of those triangles that always has the same ratio of their sides which means if you know one side length of a 30-60-90 you know all the sides.


I have attached a diagram of a 30-60-90 triangle below, we can use it to find the different sides
.

1. 2x =AB and x = BC, we know AB=14, since AB is two times as big as BC we know that BC = 7


2. Knowing BC equals 7 we can also say that x=7, since the diagram shows us AC = x times the square root of three we know that AC = 7 times the square root of 3.


3. If AB =16, 16 = 2x, and x=8, plug this into x times the square root of three to get AC, which equals 8 times the square root of three.


4. If AC equals 9 times the square root of three, we know that x=9. Side BC is simply x so BC = 9

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Pls help 30 points 7th grade math
Vlada [557]
Z>7 I think that’s the answer let me know if it’s right or not
5 0
3 years ago
The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and
Snowcat [4.5K]

Answer:

1200 children and 1500 Adults

Step-by-step explanation:

Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as  

x+y=2700    (Equation 1)

and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as  

1.50x+4y=7800 (Equation 2)

Extracting the value of y from equation 1

Y=2700-x (Equation 3)

Putting the value of y from equation 3 into equation 2

1.50x+4(2700-x)=7800

1.50x+10800-4x=7800

1.50x-4x=7800-10800

-2.5x=-3000

Cancellation of negative signs on both sides

x=3000/2.5

x=1200

Putting the value of x in equation 3 to get the value of y

y=2700-1200

y=1500

5 0
3 years ago
100pts Help rounding!
Semmy [17]

Answer:

5

Step-by-step explanation:

5 158/559

= 5 + 158/559

= 5 + 0.28264758

= 5.28264758

= 5 (rounded to nearest whole number)

4 0
2 years ago
Read 2 more answers
Why does the angle formed by the radius of a circle and a tangent of a circle has a measure of 90 degrees?
drek231 [11]
<span>Theorem:
A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent.</span>
5 0
3 years ago
One number is five more than three times another. If their difference is 35, what is the larger number?
miv72 [106K]
Let x and y be the two unknown numbers. If one number, say x,is 5 more than 3 times another, say y, the equation would be

x = 5 + 3y

When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.

x - y = 35
(5 + 3y) -y = 35
5 +2y = 35
2y = 35-5
2y = 30
y = 15

The larger number x would be
x = 5 + 3(15)
x = 50

The answer is 50.


8 0
3 years ago
Read 2 more answers
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