Answer:
Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.
It says that three-fourth of the total weight is metal and says to find the weight of wooden part.
We can find the weight of metal part and then subtract it from the total weight to calculate the answer.
Step-by-step explanation:
Total weight = 14.9 kilograms.
Metal part = three-fourth of total weight =
Wooden part = 14.9 - 11.175 = 3.725 kilograms.
Hence, the wooden part is 3.725 kilograms.
Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4
r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as and 1.91 as r, and solve:
A = 4r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.
Answer:
Angle ABC is equal to 130.4°
Step-by-step explanation:
When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.
We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.
Here is our equation:
∠ABC=∠ABD+∠DBC
After substituting, we will get
∠ABC=65.2+65.2=130.4
130.4° is the measure of ∠ABC.
Answer:
This is the distributive property
Step-by-step explanation:
You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.
For this example, they distributed a to both b and c making it a*b + a*c
This will result in the same answer:
3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13
3/5(-1.23..) = -6/5 + 30/65 (..= approx)
approximately- 0.74 = -0.74
Answer:
0
Step-by-step explanation:
