Answer:
x ≈4.244833711
Step-by-step explanation:
x^2=7^2+8^2-2(7)(8)(cos32)
Determine the powers
x^2=49+64-2(7)(8)(cos32)
Multiply from left to right
x^2 = 49+64 - 112cos32
x^2 = 49+64 - 94.98138677
Add and subtract
x^2 =113-94.98138677
x^2 = 18.01861323
Take the square root of each side
sqrt(x^2) = sqrt(18.01861323)
x = sqrt(18.01861323)
x ≈4.244833711
x^2 =113
Area of the figure = 30.28 m²
Solution:
The given image is splitted into two shapes.
One is rectangle and the other is semi-circle.
Length of the rectangle = 6 m
Width of the rectangle = 4 m
Area of the rectangle = length × width
= 6 m × 4 m
= 24 m²
Area of the rectangle = 24 m²
Diameter of the semi-circle = 4 m
Radius of the semi-circle = 4 m ÷ 2 = 2 m
Area of the semi-circle = 
Area of the semi-circle = 6.28 m²
Area of the figure = Area of the rectangle + Area of the semi-circle
= 24 m² + 6.28 m²
= 30.28 m²
Area of the figure = 30.28 m²
The dog eats 6 cupcakes in 22 days.
<em>(don't know why a dog would be eating cupcakes in the first place, but sometimes math questions don't make the most sense)</em>
Answer:
3 grams
Step-by-step explanation:
on the left side there is 3 circles and every circle is 3 grams, so there is 9 grams plus 6 squares for 2 grams its 12 . 9+12 =21 and two triangles with x mass
on the right side there is 2 circles , 2×3 = 6, and 3 squares, 3×2 = 6. 6+6=12 +5x
both sides are equal so we have
21+2x=12+5x
21-12=5x-2x
9=3x
x=3
The figure on the left side shows the water level is at the 0.5 liter mark, ie half a liter.
1 liter = 1000 mL
0.5*1 liter = 0.5*1000 mL
0.5 liter = 500 mL
If you poured all the water into the jug on the right (without spilling), then the water level should reach the 500 mL mark. This is the small tickmark exactly halfway between the 400 and 600.
