Answer:
Kite
Step-by-step explanation:
By definition:
A Trapizoid has 1 set of parallel lines
A Rhombus has 2 sets of parallel lines
A Rectangle has 2 sets of parallel lines
This leaves the kite as the only shape without any parallel sides
Answer:
The area of triangles are 16 cm^2 and 49 cm^2
Step-by-step explanation:
we know that
If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller triangle in square centimeters
y ----> the area of the larger triangle in square centimeters
we know that
![z=\frac{4}{7}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B4%7D%7B7%7D)
![\frac{x}{y}=z^2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3Dz%5E2)
so
![\frac{x}{y}=\frac{16}{49}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B16%7D%7B49%7D)
-----> equation A
----> equation B
solve the system by substitution
substitute equation A in equation B
![\frac{16}{49}y+y=65](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B49%7Dy%2By%3D65)
solve for y
![\frac{65}{49}y=65](https://tex.z-dn.net/?f=%5Cfrac%7B65%7D%7B49%7Dy%3D65)
![y=49\ cm^2](https://tex.z-dn.net/?f=y%3D49%5C%20cm%5E2)
Find the value of x
![x=\frac{16}{49}(49)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B16%7D%7B49%7D%2849%29)
![x=16\ cm^2](https://tex.z-dn.net/?f=x%3D16%5C%20cm%5E2)
therefore
The area of triangles are 16 cm^2 and 49 cm^2
Answer:
320km/h
Step-by-step explanation:
You simply times 80 km by 4hr to get 320 km/h
Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
![V=\frac{l^2h}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bl%5E2h%7D%7B3%7D)
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for
in the last equation:
![l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }](https://tex.z-dn.net/?f=l%5E2h%3D3V%5C%5C%5C%5Cl%5E2%3D%5Cfrac%7B3V%7D%7Bh%7D%20%5C%5C%5C%5Cl%3D%5Csqrt%7B%5Cfrac%7B3V%7D%7Bh%7D%20%7D)
and now, we substitute the known values:
![V=19,200ft^3\\h=36ft](https://tex.z-dn.net/?f=V%3D19%2C200ft%5E3%5C%5Ch%3D36ft)
and we get the following:
![l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft](https://tex.z-dn.net/?f=l%3D%5Csqrt%7B%5Cfrac%7B3%2819%2C200ft%5E3%29%7D%7B36ft%7D%20%7D%5C%5C%20%5C%5Cl%3D40ft)
the length of the square base is 40ft
Answer:
i+42
Step-by-step explanation:
(3+3i) - (3+2i) + (1+41)
= 3+3i-3-2i+1+41
= 3i-2i+1+41
= i+42