The length of the other leg is __ in
The measures of the acute angles are : __ and __
General Idea:
By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.
Given:
We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).
The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.
Conclusion:
The length of the other leg is 4√3 in
The measures of the acute angles are : 30° and 60°
Answer:
503.525 gallon ( approx )
Step-by-step explanation:
Given,
Water hold by of the water tank = 5 gallon
We know that, 1 gallon = 133.228 ounces
⇒ Water hold by of tank in ounces = 5 × 133.228 = 666.139 ounces,
Here, it is given that, 6 bottles that each hold 16 ounces and a pitcher that holds 1/2 gallon is used from tank,
Since, the quantity of water hold by6 bottle in which each hold 16 ounces = 6 × 16 = 96 ounces,
Also, 1/2 gallon = 1/2 × 1 gallon = 1/2 × 133.228 = 66.614 ounces
Thus, the total consumed water = 96 + 66.614 = 162.614 gallon
Hence, the quantity of water left in the tank = Water hold by of tank in ounces - the total consumed water
= 666.139 - 162.614
= 503.525 gallon
The length of the rectangular block of land is 98 m.
The perimeter of the rectangular block is given by following formula;
Let l is the length of a rectangular block of land and w is the width of a rectangular block of land.
The width of a rectangular block of land is 2/7 of its length. If it’s perimeter is 252m, find it’s length.
The width of a rectangular block of land is 2/7 of its length.
w = (2/7) l
The width of the rectangular block of land is;
The width of the rectangular block of land is;
Hence, the length of the rectangular block of land is 98 m.
Learn more about perimeter here;
#SPJ2
Answer:
Step-by-step explanation:
the perimeter is : p = 2(x+y)..... x : width y : length
you have the system ; 2(x+y) = 252.......(1)
x = (2/7) y ...........(2)
y > x ....(3)
Substitute x = (2/7) y into (1) and simplifiy and solve for y :
(2/7) y + y = 126
(2y+7y)/7 = 126
9y = 882
y = 98 m ( the length )
B. The area will be 9 times as big.
C. The area will be 3 times as big.
D. The area will be 6 times as big.
5 3/5 + 2 1/10
Hope it helps and is useful :)