Answer:
B.25
Explanation:
The figures are similar. This means that corresponding sides have the same ratio.
This helps us set up a proportion.
We know that ML corresponds with DC, which gives us the ratio
8/40
EF will correspond with NH; this gives us the ratio
5/x
The proportion is then
8/40 = 5/x
Cross multiplying, we have
8(x) = 40(5)
8x = 200
Divide both sides by 8:
8x/8 = 200/8
x = 25
Answer: <1 = 26°
Step-by-step explanation:
given that:
• <ABD = 66°
• <2 = 14° + <1 (since ''more than' means we add)
• Find <1
Since it is obvious that <ABD is a sum of <1 and <2:
⇒ <ABD = <1 + <2
now we know that <2 is 14° more than <1 and that <ABD = 66°
⇒ 66° = <1 + (14° + <1)
⇒ 66° = <1 + 14° + <1
⇒ <1 = (66° - 14°) ÷ 2
⇒ <1 = 26° ...Answer...
hope that helps...
Answer: a) -6, b) 32, c) -48, d) 9, e) -12
Step-by-step explanation:
Since we have given that
A and B are 4 × 4 matrices.
Here,
det (A) = -3
det (B) = 2
We need to find the respective parts:
a) det (AB)

b) det (B⁵ )

c) det (2A)
Since we know that

so, it becomes,

d) 
Since we know that

so, it becomes,

e) det (B⁻¹AB)
As we know that

so, it becomes,

Hence, a) -6, b) 32, c) -48, d) 9, e) -12
Answer:
5
Step-by-step explanation:
Answer:
292 inches^2
Step-by-step explanation:
So to start off this is a picture of the fish tank.
Next we will find the area of the bottom and top rectangles.
The side lenghts for those two is 7 and 8.
So the area of one is 56 and the area of 2 is 112 inches^2.
Now we will find the area of the left and right rectangles.
The side lenghts are 6 and 8.
So the area of 2 is 96 inches^2.
Now for the front and back rectangles.
The side lenghts for those two are 6 and 7.
So the area of both is 84 inches^2.
So after adding all the areas up the surface area is 292 inches^2.