MATHEMATICS HIGH SCHOOL

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.Short = 7

Hypotenuse =

Answers

Answer 1
Answer:

Answer:

Length of the hypotenuse is 14 units.

Step-by-step explanation:

30°-60°-90° Right triangle-

The length of the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

The length of the longer leg, which is across from the 60 degree angle, is the product of length of the shorter leg and √3.

As here the length of short leg is given 7, so length of the hypotenuse is 2* 7=14
Answer 2
Answer:

Answer:

14 units.

correct me if im wrong ;)

Related Questions

Multiply 5/48 times 24/51 in simplest form
the fee for the parking garage at the airport is $16 for the first day plus $4.50 for each additional day. which equation represents the fee, f, for leaving your car at the airport for d days, where d is the number of days beyond the first day? a. f = 4.5d 16 b. d = 16f 4.5 c. f = 16d 4.5 d. d = 4.5d 16
Rewrite the expression of three root of 500 using an exponent
What is larger  3/8  or  5/16
Two lines, A and B, are represented by the following equations:Line A: 4x + 4y = 16 Line B: x + y = 4 Which statement is true about the solution to the set of equations? It is (1, 2). There are infinitely many solutions. It is (1, 5). There is no solution.

Solve by substitution
3x y=-9
x-2y=-10

Answers

:  3x + y = 9 
y = 9 - 3x 

x - 2y = 10 
y = (x - 10)/2 

2(9 - 3x) = x - 10 
18 - 6x = x - 10 
7x = 28 
x = 4 

y = 9 - 3(4) 
y = 9 - 12 
y = - 3 

Answer: x = 4, y = - 3 

Proof—2nd equation: 
4 - 2(- 3) = 10 
4 + 6 = 10

Hope this helps :)

Please help...The radius of the planet is 4100 miles. Find the distance d to the horizon that a person can see on a clear day from a height of 1298 feet above the planet. (hint: use the conversion 1 mile = 5280 ft) Round your answer to the nearest 10th, and don't forget to convert feet to miles.

Answers

First, we are going to convert 1298 feet to miles. Since we know that 1 mile = 5280 ft, we are going to multiply 1298 ft by (1mi)/(5280ft) to do that:
1298ft*(1mi)/(5280ft)= (59)/(240) mi

Next, we are going to set up a right triangle using the radius of the Earth and the distance above the planet.
The hypotenuse of our triangle will be the radius of the Earth + the distance above the planet. One of the legs of our triangle will be the radius of the Earth, and the other leg, d, will be the distance that a person will see on a clear day.
Using the Pythagorean theorem:
d^2= ((984059)/(240) )^2-4100^2
d= \sqrt{((984059)/(240) )^2-4100^2}
d=44.9 miles

We can conclude that the distance, d, to the horizon that a person can see on a clear day from a height of 1298 feet above the planet is 44.9 miles.

A bag contains 16 green marbles, 12 red marbles, 15 white marbles, and 7 black marbles. What is the probability of drawing a green marble out of the bag?

A. 1/16


B. 1/4


C. 8/25


D. 8/17

Answers

Probability  = Number of outcomes / Total number of possible outcomes.

So, using this formula we can get our answer
To get total number of possible outcomes we have to add all the marbles
i.e. 16 + 15 + 12 + 7 = 50

And now plugging it in the formula
Probability (drawing a green marbles) = 16/50
                                                                  = 8/25

So, Correct option is C.

Hope this helps you...  :D
since there are 16 green marbles out of 50 marbles
It is simply:
(16)/(50) 
Simplified:
(8)/(25)
Answer is C. (8)/(25)

Can someone help me please

Answers

Wow !  If I understand what's go0ing on here, then
we have to be careful, and THINK .

I was going to ask you "What does  Ф  mean ?", and then I realized,
Ф is a new operation that the teacher invented.

The first line on the board is the definition of Ф .

Ф means "Add the two numbers and subtract 4."

Now you have to use this new invention to find the value
of the second line:

Take care of the stuff inside the parentheses first: ( 4 Ф 2 )
Add the two numbers and subtract 4
4 + 2 - 4 = 2
That's the part inside the parentheses. It's 2 .

NOW, we have to do the new operation with the 2 inside,
and the 3 that's outside the parentheses:

3 Ф 2
Add the two numbers and subtract 4
3 + 2 - 4 = 1

And that's the final value of 3 Ф (4 Ф 2) .  It's 1 .

Pretty sneaky.

The correct answer I got was 1

There are 63 new houses being built in a neighborhood. last month 1/3 of them were sold. this month 2/7 of the remaining houses were sold. How many houses are left to be sold?

Answers

Answer: 49 houses

Step-by-step explanation:

63 x 1/3 =63/3= 21 houses were sold last month. 63 - 21 = 42 houses remained unsold last month. 42 x 2/3 =[42 x 2] / 3 = 84 / 3 = 28 houses were sold this month. 21 + 28 = 49 houses sold altogether.

What is the areaof a circle having a given diameter. d=16 cm

Answers

Area = \pi r^2 so if the diameter is 16, radius (r) = 8

3.14 * 8^2 = 3.14*64 = 200.96 is the approximate area

If you're looking for the answer in terms of pi, 64pi is the answer.
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