Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:
The pilot is 5668.3 feet far away from the house.
Hello!
The x intercept is when the y value is 0
Put 0 in for y to get the x-intercepts
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Part A
3x + 2y = 7
Put 0 in for y
3x + 2(0) = 7
Simplify
3x = 7
Divide both sides by 3
x = 2.333...
The x-intercept is at the point (2.333, 0)
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Part B
2x + 3y = 7
Put 0 in for y
2x + 3(0) = 7
Simplify
2x = 7
Divide both sides by 2
x = 3.5
The x-intercept is at the point (3.5, 0)
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Hope this helps!
Greetings!
Solve for <span>x.
</span>
Distribute the Parenthesis.
Simplify.
Reduce.
Add
12 to both sides.
Simplify.
Subtract both sides by
2x.
Simplify.
Divide both sides by
-6.
Simplify.
Hope this helps.
-Benjamin
36x-8y^2
36(3)-8(-6)^2
108-8(36)
108-288
=-180 <----
Answer:
40π/3 cm^2 ≈ 41.89 cm^2
Step-by-step explanation:
The centerline of the shaded region has a radius of 3cm+(4 cm)/2 = 5 cm. Its length is 1/3 that of the circumference of a circle with that radius (because 120° is 1/3 of 360°).
The area is the product of the centerline length and the width of the shaded area (4 cm).
shaded area = (1/3)(2π(5 cm))(4 cm)
shaded area = 40π/3 cm^2 ≈ 41.89 cm^2
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<em>Alternate solution</em>
The area of the donut is the difference in the areas of the outer and inner circles:
πr₂² -πr₁² = π((7 cm)^2 -(3 cm)^2) = 40π cm^2
The are of the shaded region is (120°/360°) = 1/3 of that, so is
shaded area = (40/3)π cm^2
