Let S= the amount of money Sarah has.
Let J= the amount of money Jose has
J= S+20
J+S=90
But we also know that J can equal S+20
So,
S+20+S=90
2S+20=90
2S=70
S=35
So Sarah has $35, and Jose has $35+$20, so he has 55$
Answer=circumference of pie times the latitude of earths orbit times by pie of the gravitational pull of the moon
Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A 36-foot-tall tree casts a 9-foot shadow.
To find the height of the nearby tree that cast a 14 foot shadow at the same time.
Let x be the height of the nearby tree.
By definition of proportion;

Substitute the given values we get;

Simplify:

Multiply both sides by 14 we get;
foot.
therefore, the height of the nearby tree is, 56 foot.
Answer:
The question has some details missing. Here is the given function ; f(x,y,z) = 1 + 4xyz at point P = (1,-1,-1)
Step-by-step explanation:
The detailed steps and appropriate calculation is as shown in the attached file.
Answer:
192.5 ft²
Step-by-step explanation:
Area of the shaded region (A) = Area of the major sector + Area of the triangle.
A = (πr²θ/360)+(r²sinα)/2............. Equation 1
From the diagram,
Given: r = 8.35 ft, α = 100°, θ = 360-100 = 260°
Substitute these values into equation 1
A = (3.14×8.35²×260/360)+(8.35²×sin100×1/2)
A = 158.16+34.33
A = 192.49 ft²
A = 192.5 ft²
Hence the area of the shaded region = 192.5 ft²