Answer:
Step-by-step explanation:
Given:
TU ≅ WU
∠T ≅ ∠W
To Prove:
Proof:
In Δ TUS and Δ WUV
STATEMENT REASON
1. TU ≅ WU 1. Given
2. ∠T ≅ ∠W 2. Given
3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal
4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.
5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.
.......Proved
Answer:
5(x + 5) = 353 + x
Step-by-step explanation:
i got it right
Answer:
The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)
Step-by-step explanation:
Given
<em>Cylinder</em>
Radius = 3 inches
Height = 7 inches
<em>Sphere</em>
Radius = 3 inches
Required
The difference in the amount of wax needed to make a candle from each of these molds
The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds
The volume of a cylinder is calculated using
<em>V₁ = πr²h</em>
where r and h are the radius and the height of the cylinder, respectively.
r = 3 in and h = 7 in
The volume of a sphere is calculated using
where r is the radius of the sphere
r = 3 in
Calculating V₁
V₁ = πr²h
V₁ = π * 3² * 7
V₁ = π * 9 * 7
V₁ = π * 63
V₁ = 63π
Calculating V₂
V₂ = 36π
Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.
Difference = V₁ - V₂
Substituting 63π for V₁ and 36π for V₂
Difference = 63π - 36π
Difference = 27π
<em>(Taking π = 3.14)</em>
Difference = 27 * 3.14
Difference = 84.78
Hence, difference in the amount of wax needed is 84.78 in³
The monomial is a perfect cube is .
<h3>Perfect cubes;</h3>
Perfect cubes are the numbers that are the triple product of the same number.
We have to determine
Which monomial is a perfect cube?
A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.
It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
A perfect cube monomial must have exponents on the variables.
Then
The monomial is a perfect cube is;
Hence, the monomial is a perfect cube is .
To know more about Monomial click the link is given below.
brainly.com/question/5245372
To find diagonal we need to look at the right triangle with legs 29 m and 16 m, a hypotenuse of this triangle is a diagonal of the rectangle.
c² =29² + 16²= 1097 m²
c=√(1097) ≈ 33 m
Answer: 33 m.