Answer:
∠A = 26°
Explanation:
If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.
Angle ∠C = 76
So, ∠T = 76 because of corresponding angle.
Given that,
m∠S=3(m∠A)
We know that,
∠S ≅ ∠B
That means ∠B = 3 (∠A)
Sum of angles in a triangle = 180°
∠A + ∠B + ∠C = 180°
∠A + 3∠A + 76° = 180°
4∠A = 180° - 76°
4∠A = 104°
∠A = 
∠A = 26°
Final answer.
Answer:
Answer is given below under explanation
Step-by-step explanation:
We are told that the domain is a set of real numbers. Let's depict by a & b.
We will use the following symbols;
∀ means for all
Ǝ there exists
∧ means logical conjuction
Thus;
A) Ǝ a,b : ( a/b < 1, b/a < 1 )
B) ∀ a : ( a > 0 = 1/a > 0 )
C) Ǝ a,b : (a + b = ab)
D) ∀ a,b : [ ( a > 0 ) ∧ ( b > 0 ) = (( a/b > 0 ) ∧ ( b/a > 0 ))]
E) ∀ b : [( b > 0 ) ∧ ( b < 1) = ( 1/b > 1 )]
F) n ( ( Ǝ x ∀ b ( a < b ) )
Answer
Multiply the divisor and dividend by
✔ 100
The new division problem becomes
✔ 4,860 ÷ 15
The quotient of 48.6 ÷ 0.15 is
✔ 324
Estimating to check, you get
✔ 5,000 ÷ 15 = 333.33
<u>Divide</u>
Answer:
4 inches
Step-by-step explanation:
The computation of the scale that should be required to reproduced that fitted on the brochure is
Given that
Length of rectangular park = 4 inches
And the Breadth of rectangular park = 6 inches
As we know that
Area of rectangular park = length × breadth
= 4×6
= 24 square inches
Now the scale that required to reproduced is
= 24 ÷ 6
= 4 inches
We are asked to solve for the lateral surface area of the cylinder such that the formula that we can used is Lateral Surface Area = 2pi*r*h where "r" represents the radius of the cylinder and "h" represents the height of the cylinder. In this problem, we are given with the following values:
r = 4 inches
h = inches
Solving for the lateral surface area, we have it:
L.S.A = 2 *pi * r* h
L.S.A = 2*pi*4*6
L.S.A = 48pi units squared
The answer is 48pi unit2.
