Hi there! The answer is C.
The area of the square in the middle is the following:
Hence, the area of the square is 25 cm^2.
The area of one triangle is the following:
Hence, the total area of the four triangles is 4 × 20 = 80 cm^2.
Therefore, the total area of the pyramid is 80 + 25 = 105 cm^2. The answer is C.
Answer:
5.714 liters of the 5% solution and 4.286 of the 40%.
Step-by-step explanation:
Let x be the volume of 40% solution and y = volume of the 5% solution.
x + y = 10
0.40x + 0.05y = 0.20(x + y)
From the first equation x = 10 -y so we have:
0.40(10 - y) + 0.05y = 0.20( 10 - y + y)
4 - 0.40y + 0.05y = 2
-0.35y = -2
y = 5.714 liters of the 5%.
and x = 10 - 5.714 = 4.286 liters of the 40% solution.
Step-by-step explanation:
Answer:
a little late
205 1/5 is your answer
Step-by-step explanation:
break down the 3-D figure
Find area of triangle A=1/2bh
=1/2(8 inch)(6 9/10inch)
=1/2(8 inch)(69/10 inch)
=138/5 square inch
then multiply two because you have 2 triangles
=138/5 (2)
= 276/5 square inch
= 55 1/5 sq.in
Find area of rectangle
A = lw
=6 1/4 in (8 in)
= 25/4 (8 in.)
= 50 sq. in.
then multiply by 3 because of the three rectangles
= 50 sq. inch (3)
= 150 sq. in.
Add all together
55 1/5 sq. inch + 150 sq. inch = 205 1/5 sq. inch
Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
