(2/3)x+4= 7
Subtract 4 from both sides
(2/3)x= 3
Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2
Final answer: 9/2 or 4.5
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 45°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 19.32 inches2.</span>
Answer:
35 ft^2
Step-by-step explanation:
Area of the first rectangle
A = 8 x 2 = 16 ft^2
area of the second rectangle
A = 5 x 2 = 10 ft^2
area of the square
A = 3^2 = 9 ft^2
total area
A = 16 + 10 + 9 = 35 ft^2
Answer:
m∠BCA = 43°
Step-by-step explanation:
ABCD is a kite having m∠BAD = 46° and m∠ABC = 114°
∠BAD and ∠BCA are the vertex angles of the kite.
Since, diagonal of kite bisect the vertex angles
m∠BAC = m∠DAC = 
m∠BAC = 23°
By applying triangle sum theorem in ΔABC,
m∠ABC + m∠BCA + m∠BAC = 180°
114° + m∠BCA + 23° = 180°
m∠BCA = 180° - (114° + 23°)
= 43°
