Answer:
C) 45 ft²
Step-by-step explanation:
<u>Formulae</u>
Area of a square = x² (where x is the side length)
Area of a triangle = 1/2 × base × height
The surface area of a square pyramid comprises:
- square base
- 4 congruent triangles
⇒ area of square base = 5² = 25 ft²
⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²
⇒ Total surface area = area of square base + 4 triangular areas
= 25 + 4(5)
= 25 + 20
= 45 ft²
Answer:
x = 15 5/6
Step-by-step explanation:
-4 1/4x-7 6/8x=-190
get a common denominator 8
-4 1/4*2/2 x - 7 6/8 x = -190
-4 2/8 x - 7 6/8 x = -190
combine like terms
-11 8/8 x = -190
-12x = -190
divide by -12
-12x/-12 = -190/-12
x = 190/12
divide top and bottom by 2
x = 95/6
change to an improper fraction
6 goes into 95 15 times with 5 left over
x = 15 5/6
Answer:
one number: 8 second number: 4
Step-by-step explanation:
- So, first number is x
- then second number is (x-4):
x+(x+4)=12
2x+4=12
x=4
We order these data:
32 minutes------------------------3 people------------------4 walls
x--------------------------------------4 people------------------7 walls
The minutes and the people are variables inversely proportional , therefore, we multiply in parallel
32 minutes*3 people=x*4 people
The minutes and the walls are variables directly proportinal; therefore, we multiply cross.
32 minutes*7 walls=x*4 walls
Therefore:
32 minutes*3 people*7 walls=x*4 people*4 walls
x=(32 minutes*3 people*7 walls) / (4 people* 4 walls)
x=42 minutes.
Answer: the time will be 42 minutes.
Answer:
sin theta = opp/ hypotenuse
Step-by-step explanation:
sin theta = opp/ hypotenuse
cos theta = adj/ hypotenuse
tan theta = opp/ adj
In this case we know the opposite and the hypotenuse
