Answer:
The answer to your question is: 3780 m²
Step-by-step explanation:
Data
Rectangular ceiling
base = 63 ft
height = 60 ft
Formula
Area = base x height
Process
Area = 63 x 60
= 3780 m²
Answer:
4x^2 -34x+42
Step-by-step explanation:
(4x-6)(x-7)
FOIL
first 4x*x = 4x^2
outer 4x*-7 = -28x
inner : -6 *x = -6x
last : -7*-6 = 42
Add them together = 4x^2 -28x-6x +42
=4x^2 -34x+42
Question isnt well formatted :
Answer:
1 : 6
Step-by-step explanation:
Given the question :
3x = 1/2y
3x = y/2
Multiply both sides by 2
3x * 2 = y/2 * 2
6x = y
This can be interpreted as :
y = 6 times the value of x
x = y/6
x : y
1 : 6
Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1
Step-by-step explanation:
a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.
b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.
c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.
EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.
Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.
HJ and HI both measure 5 since they are congruent. 5+5+8=18.
d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.
Answer:
15
Step-by-step explanation:
Step 1: distribute the negative: 4+11
Step 2: add up the numbers: 15
Hope that helps
