Answer:
Step-by-step explanation:
6x^2 - x + 3 - 5x^2 - 10x + 1
x^2 - 11x + 4
Step-by-step explanation:
area of equilateral ∆ =
here a = 3
area of ∆ = 3.9 in^2
area of circle
= 19.63 in^2
area of shared region = 19.63-3.9= 15.73 in^2
Answer:
A is positive anD B is negative
Tip: right your name on the line and it determines if it goes up. Or down. If up it’s positive and if it’s negative it goes down.
Step-by-step explanation:
1. Find the surface area of the rectangular prism. (1 point)
<span>Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 </span>
<span>a rectangular has six sides, the total surface area is equal to 6 plains: </span>
<span>2*W*L + 2*L*H + 2*L*W </span>
<span>= 2*(W*L + L*H + L*W) </span>
<span>= 2 * (2*3 + 3*4 + 4*2) </span>
<span>= 2 * ( 6 + 12 + 8 ) </span>
<span>= 2 * 26 </span>
<span>= 52 ................... the last choice </span>
<span>2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) </span>
<span>Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units </span>
<span>3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) </span>
<span>Length: 15 cm, Diameter: 2 cm </span>
<span>A cylinder has 3 surfaces: two circles + one curved surface area </span>
<span>...... two circles of 2cm diameter (1cm radius) </span>
<span>A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm </span>
<span>Curved surface area = circumference * length </span>
<span>.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 </span>
<span>curved surface area = 6.28*15 = 94.2 sq. cm </span>
<span>Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm </span>
<span>4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) </span>
<span>two pieces of paper ... one for bottom = 8*10 = 80 sq.in </span>
<span>the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in </span>
<span>Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<</span>
Recognise firstly that you're making a right-angled triangle, with the hypotenuse being the ladder; and the wall and ground making up the other two sides. One vertical side is 15 ft long, the hypotenuse is 20 ft long. Use Pythagoras' Theorem to solve for the length of the remaining side: <span><span>a2</span>+<span>b2</span>=<span>c2</span></span><span><span>152</span>+<span>b2</span>=<span>202</span></span><span><span>b2</span>=400−225</span><span><span>b2</span>=175</span><span>b=<span>175<span>−−−</span>√</span>=13.22ft</span> To get the angle the ladder makes to the ground, use the trigonometric functions - sine in this case: <span>sinθ=<span><span>opposite</span><span>hypotenuse</span></span></span><span>sinθ=<span>1520</span></span><span>θ=si<span>n<span>−1</span></span>(0.75)</span><span><span>θ=0.848radians(48.5degrees)</span></span>
