We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544
c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
Answer:
Step-by-step explanation:
The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.
The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:
5 + 0.9
You can show the multipliers in standard form:
5×1 + 9×0.1
Or, you can show the multipliers in exponential form:
5×10⁰ +9×10⁻¹
<h2>The height of cylinder is 11.8 meters</h2>
<em><u>Solution:
</u></em>
<em><u>
The volume of cylinder is given as:</u></em>
Where,
r is the radius and h is the height of cylinder
From given,
V = 95 cubic meters
r = 1.6 meters
h = ?
<em><u>
Substituting the values we get,</u></em>
Thus height of cylinder is 11.8 meters
Answer: she can buy 3 Blue Gouramis and 3 Clown Loaches.
Step-by-step explanation:
Let b represent the number of Blue Gouramis that she can buy.
Let c represent the number of Clown Loaches that she can buy.
She has room for only 6 more fishes. It means that
b + c = 6
She wants to buy some Blue Gouramis, which cost $2.50 each, and some Clown Loaches, which cost $5.50 each. She has $24.00 to spend. It means that
2.5b + 5.5c = 24- - - - - - - - - - - -1
Substituting b = 6 - c into equation 1, it becomes
2.5(6 - c) + 5.5c = 24
15 - 2.5c + 5.5c = 24
- 2.5c + 5.5c = 24 - 15
3c = 9
c = 9/3 = 3
b = 6 - c = 6 - 3
b = 3
Answer:
∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.
Step-by-step explanation:
tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!
