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nasty-shy [4]
3 years ago
8

Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.

Mathematics
2 answers:
valina [46]3 years ago
8 0
Is it trigonometry?
In that case take 30 degree as our reference point, then the long side will be hypotenuse*cos 30 which is 10*1/2*sqrt(3)

You can always use the rule: front=hypotenuse*sin of the degree
 Side=hypotenuse*cos of the degree
Monica [59]3 years ago
7 0

Answer:

The side of long is, 5\sqrt{3} units

Step-by-step explanation:

This is the special right angle triangle 30^{\circ} -60^{\circ}-90^{\circ} as shown in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer side, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

the length of the hypotenuse is twice the length of the shorter side,

also,  the length of the longer side is \sqrt{3} times the length of the shorter leg.

Given: length of short(S) = 5 units , hypotenuse(H) = 10 units

To find length of long side(L)

Then,

Using above statement;

length of longer sides(L) = \sqrt{3} \times S

Substitute the values we get;

L = \sqrt{3} \times 5 = 5\sqrt{3} units

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Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Leto [7]

Answer:

see explanation

Step-by-step explanation:

(1)

Given

g(r) = (r + 14)² - 49

To obtain the zeros, let g(r) = 0 , that is

(r + 14)² - 49 = 0 ( add 49 to both sides )

(r + 14)² = 49 ( take the square root of both sides )

r + 14 = ± \sqrt{49} = ± 7 ( subtract 14 from both sides )

r = - 14 ± 7, then

r = - 14 - 7 = - 21 ← smaller r

r = - 14 + 7 = - 7 ← larger r

(2)

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

g(r) = (r + 14)² - 49 ← is in vertex form

with vertex = (- 14, - 49 )

4 0
2 years ago
6. Enrico is filling his pool. The pool has 3,000 gallons of water in it now. The water hose that Enrico uses puts 500 gallons p
xenn [34]

Answer:

y=500x+3000

the Y intercept is 3,000

Step-by-step explanation:

In this equation y represents the total gallons of water in the pool the 500 represents the water that goes into the pool in an hour. X represents the number of hours and 3000 represents the water that was already in there.

7 0
2 years ago
In the diagram the measure of angle 3 is 105 degrees which angle must also measure 105? A.1 B.4 C.6 D.8       I NEED HELP ASAP P
faltersainse [42]

Answer: The correct option is (A). angle 1.

Step-by-step explanation:  In the given diagram, the measure of ∠3 is 105°.

We are to find the angle that must also measure 120°.

We know that the measures of two vertically opposite angles are equal.

In the given diagram, since ∠1 and ∠3 are vertically opposite angles.

So, the measures of ∠1 and ∠3 are equal.

That is,

m∠1 = m∠3.

Also, m∠3 = 105°.

Therefore, m∠1 = 105°.

Thus, the measure of angle 1 must be 105°.

Option (A) is correct.

4 0
3 years ago
Read 2 more answers
a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to
andre [41]

Answer: 22 to 55 to 44


Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.


7 0
3 years ago
WILL MARK BRAINLIEST IF ITS RIGHT !!
Furkat [3]

Answer:

Around 0.22

<u>FIRST THOUGH, I FEEL LIKE 90 MIGHT HAVE MEANT TO BEEN 0.9, SO IF SO SUBSTITUTE THE 90 BELOW FOR 0.9!</u>

<u></u>

Step-by-step explanation:

Okay, so first.

Company A will be 50 a day plus 0.4 a mile

Company B will be 30 a day plus 90 per mile

We can write an equation like this:

50 + 0.4m = 30 + 90m

m = miles they are the same

Then we solve for m.

50 + 0.4m = 30 + 90m

     - 0.4m            - 0.4m

50 = 30 + 89.6m

- 30    - 30

20 = 89.6m

Divide both sides by 89.6

Around 0.22!

5 0
2 years ago
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