First to answer
Answer:
A. The coefficients of z are the same, but the constant terms are different.
Step By step Explanation:
2(z – 1) = 4(z + 5)
Step 1: Simplify both sides of the equation.
2(z−1)=4(z+5)
(2)(z)+(2)(−1)=(4)(z)+(4)(5)(Distribute)
2z+−2=4z+20
2z−2=4z+20
Step 2: Subtract 4z from both sides.
2z−2−4z=4z+20−4z
−2z−2=20
Step 3: Add 2 to both sides.
−2z−2+2=20+2
−2z=22
Step 4: Divide both sides by -2.
−2z/−2 = 22/−2
z=−11
The coefficients for z are the same, but the constants are different.
The Surface area of the figure is 520 square centimeters
<h3 /><h3>How to calculate the surface area of a figure</h3>
The figure is made up of rectangular prisms
The formula for calculating the surface area of rectangular prism is expressed as:
SA = 2(lw + wh + lh)
l is the length
w is the width
h is the height
Surface area of the figure = 2(2(8) + 2(14) + 8(14)) + 2(6(8) + 6(4) + 8(4))
Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)
Surface area of the figure = 312 + 208
Surface area of the figure = 520 square centimeters
Hence the Surface area of the figure is 520 square centimeters
Learn more on surface area of composite figure here: brainly.com/question/26736468
We can write that 40% of the full amount is 30 marks.
Using x for the full amount, we can say 0.4x=30.
To solve for x, we devide both sides by 0.4 (or equivalently, multiply by 2.5).
We get x = 75 marks.
Answer:
20 miles
Step-by-step explanation:
We apply trigonometry and using the attached illustration, we know that sine of an angle is the ratio of opposite to hypotenuse. In this case, the hypotenuse is the diagonal in question.
Sin 30°=10/hypotenuse
Hypotenuse=10/sin30°=10/0.5=20 miles
Therefore, the plane has gone a diagonal distance equivalent to 20 miles from its take off position
<span>Jerry did not report his lost credit card right away believing that he
could find it. Fraudulent transactions were made on his account and he is
responsible to pay the maximum amount of $50 under the Fair Credit Billing Act
(FCBA).</span>