Answer:
x = 17.5
Step-by-step explanation:
5/8 = x/28
=> 5(28) = 8x
=> 140 = 8x
=> 8x = 140
=> x = 140/8
=> x = 70/4
=> x = 35/2
=> x = 17.5
Answer:
7/√2 cm
Step-by-step explanation:
Area of circle = 77 cm^2
=> π(r)^2 = 77
=> (22/7) x (r)^2 = 77
=> (r)^2 = (77 x 7) / 22
=> (r)^2 = 49/2
=> (r) = 7/√2 cm
Answer:
41.802 feet
Step-by-step explanation:
Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.
We can visualize a triangle formed by the three streets One side is 92 feet.
Angle opposite 92 feet = 
Let x be length of Cove st and y length of Mateo st.
Using sine angle for triangles,
Simplify to get
x=52.595
y=87.207
Distance saved= 
6x – 4y = 9
4y = 6x - 9
y = 6/4 x - 9/4
y = 3/2 x - 9/4 this line has slope = 3/2
perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3
answer:
A. y= - 2/3 x - 4 (only this line has slope = -2/3)
<span>The answer is that the fraction of 1/2 pint is 1 cup. To solve this you must know the equivalence between pints and cups, and use the notion of proportions. Two cups equal one pint. Then you can state this proportion: 1 pint / 2 cups = x pint / 1 cup. When you solve for x you get: x = 1/2. Which means that 1 cup is 1/2 of 1 pint. </span>
