Answer:
see below
Step-by-step explanation:
Angle B is 100 degrees because vertical angles are equal
<B and angle X are same side interior angles and since AD and EH are parallel lines same side interior angles are complementary
B + X = 180
100 +x = 180
x = 180-100
x = 80
Answer:
Step-by-step explanation:
Factor the equation:
Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).
Simplify, take out common terms that are found on both the numerator and denominator
60 bottles required.
<h3>
calculate the volume of both shapes</h3>
<u>For hemispherical bowl</u>:
[diameter: 30 cm, radius: 15 cm]
<u>For each </u><u>cylindrical </u><u>bottles</u>:
["r" is 2.5 cm, "h" is 6 cm]
<u>So number of </u><u>required bottles</u>:
- volume of hemisphere/volume of each cylindrical bottle
Answer:
t=5W+30 or C
Step-by-step explanation:
The pool already has 30 in it so you would initially be adding it, not multiplying it to anything. Then since every second 5 gallons of water is being added to the pool, you add the 30 gallons the pool already contains to 5W.
Question: Assume the complete question as, Two forces of 20 Newton’s and 30 Newton’s² act on a point. The resultant force is 40 Newton’s. Find the angle between the two forces
Answer:
75.5°
Step-by-step explanation:
From the question,
Using cosine rule,
R² = P²+Q²-2PQcosθ................... Equation 1
Where θ angle between the the two forces.
Given; R = 40 Newton, P = 20 Newton, Q = 30 Newton.
Substitute these values into 1
40² = 20²+30²-[2×20×30(cosθ)]
1600 = 400+900-(1200cosθ)
1600 = 1300-1200cosθ
1200cosθ = 1600-1300
1200cosθ = 300
cosθ = 300/1200
cosθ = 0.25
θ = cos⁻¹(0.25)
θ = 75.5°
Hence the angle between the forces is 75.5°