Answer:
Volume of the pyramid = 927.72 m² (Approx)
Step-by-step explanation:
Given:
Length of base = 16.6 m
Height of the pyramid = 10.1 m
Find:
Volume of the pyramid = ?
Computation:
Area of the square base = Side²
Area of the square base = (16.6)²
Area of the square base = 275.56 m²
Volume of the pyramid = 927.72 m² (Approx)
Randy made 64 ballon animals and her sister made 32 ballon animals
<em><u>Solution:</u></em>
Let the number of ballon animals sold by Randi be "x"
Let the number of ballon animals sold by her sister be "y"
Cost of 1 ballon animal = $ 0.50
<em><u>Rando made twice as many animals as her sister</u></em>
Number of ballon animals sold by Randi = twice the number of ballon animals sold by her sister
x = 2y ---- eqn 1
<em><u>Together, they earned $ 48</u></em>
Therefore, we can frame a equation as:
Number of ballon animals sold by Randi x Cost of 1 ballon animal + number of ballon animals sold by her sister x Cost of 1 ballon animal = 48
<em><u>Therefore, from eqn 1</u></em>
x = 2y
x = 2(32)
x = 64
Thus Randy made 64 ballon animals and her sister made 32 ballon animals
Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
Answer:
a)8
b)13
Step-by-step explanation:
a) ar = c
a^2+b^2=c^2
4^2+7^2=c^2
16+49 = c2
c = ~8
b) sa= c
a2+b2=c2
7^2 + (15-4)^2
49+121 = c2
c= = 13
I hope im right!!