Answer:
#1 THE LENGTH IS 24 FT, WIDTH IS 12 FT..... #2 DISTANCE IS 7
Step-by-step explanation:
ON PROBLEM ONE ITS SAYING FOR EVERY 1 CM ITS EQUALY TO 4 FEET, SO MULTIPLY 6CM*4 FEET OR 1*4 + 1*4 + 1*4 + 1*4 + 1*4 +1*4=24
YOU DO THE SAME FOR THE WIDTH WHICH WOULD BE 3CM*4FT=12
ITS THE SAME FOR THE SECOND PROBLEM TO YOUD DO 2*3 1/2=7
Answer:
Step-by-step explanation:
Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
a. Pentagon
Interior angle:
5 sides => form 5 triangles => central angle: 360 / 5 = 72°
interior angle = 2x
angles in every triangle: x => x + x + 72° = 180°
=> 2x = 180° - 72° = 108°
Answer 108°
Exterior angles = 360° / number of sides = 360° / 5 = 72°
Answer: 72°
b. 16 - gon
Interior angles: 2x
number of triangles = 16
central angle = 360 / 16 = 22.5°
interior angle 2x, where 180° - 22.5° + x + x => 2x = 180° - 22.5° = 157.5°
Answer: interior angle 157.5°
Exterior angles: 360 / 16 = 22.5°
Answer: exterior angles = 22.5°
c. Dodecagon
number of sides 12
central angle = 360° / 12 = 30°
interior angle, 2x => 30 + 2x = 180 => 2x = 180 - 30 = 150°.
Answer: interior angle = 150°
Exterior angle = 360° / number of sides = 360° / 12 = 30°
Answer: exterior angle = 30°
Answer:
<h2>D. fraction 1 over 16 ft³</h2>
Step-by-step explanation:
The formula of a volume of a cube:
V = s³
s - side length
We have s = 1/4 ft. Substitute:
V = (1/4)³ = 1/64 ft³
We have four cubes.
4V = 4 · 1/64 = 1/16 ft³
