Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
= 
= 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
= 
= 
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
I don’t see a diagram ? Just numbers...
Answer:
The product of the terms in the given expression is -90k⁷
Step-by-step explanation:
10k⁴ · (-9k³)
When we multiply exponents, then we are going to add the exponential together. So, we will add 4 and 3 together which is 7. Since our base numbers are different, then we also multiply them together. So, we will multiply 10 by -9 which is -90.
-90k⁷
Height of building =60 feet (where woman is trapped)
distance of bottom of ladder from base of building = 40 feet
This makes a right angled triangle as shown in figure.
here hypotenuse =length of ladder
base = distance of bottom of ladder from base of building = 40 feet
perpendicular =Height of building =60 feet (where woman is trapped)
So here we can use Pythagoras theorem to find the length of ladder.
Hypotenuse² = base² + perpendicular²
height of ladder = √(60² +(40)² = √3600 +1600 = √5200
height of ladder = 72.1 feet
Answer:
D
Step-by-step explanation:
7.6/3.8 = 2
The dilation is by scale factor 2.
8/2 = 4
11/2=5.5
Calculate the volume.
Cross section × height
4 × 3.8 × 1/2 × 5.5 = 41.8
The volume of the smaller prism is 41.8 ft³.