Step-by-step explanation:
Based on the given conditions,
Formulate:(100-80)÷80
Calculate the sum or difference:20/80
Cross out the common factor:1/4
Multiply a number to both the numerator and the denominator:1/4×25/25
Write as a single fraction :25/4×25
Calculate the product or quotient :25/100
Rewrite a fraction with denominator equals 100 to a percentage:25%
Answer : 25%
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²
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>
Answer:
(2,4)
Step-by-step explanation:
Add the X-coordinates for both points and divide by 2
which now becomes 6+(-2)=4
Now divide 4 by 2 : 4/2 = 2
Add the Y-coordinates for both points and divide by 2
which now becomes 6+2=8
Divide 8 by 2 : 8/2 = 4
Bring the X and the Y together which becomes (2,4)
Answer:
hello
Step-by-step explanation:
