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2 years ago

Delta Math:Angle Terminology with Equations

Mathematics

1 answer:

Sphinxa [80]2 years ago

3 0

Answer:

∠A = 94°

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°

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If f(1) = 160 and f(n+ 1) = -2f(n), what is f(4)?

sertanlavr [38]

F(1) = 160 is given to us. We'll use it to find f(2)
f(n+1) = -2*f(n)
f(1+1) = -2*f(1) ... replace every n with 1
f(1+1) = -2*160 ... replace f(1) with 160
f(2) = -320

Now use f(2) to find f(3)
f(n+1) = -2*f(n)
f(2+1) = -2*f(2) ... replace every n with 2
f(3) = -2*(-320) ... replace f(2) with -320
f(3) = 640

Finally, use f(3) to find f(4)
f(n+1) = -2*f(n)
f(3+1) = -2*f(3) ... replace every n with 3
f(4) = -2*640 ... replace f(3) with 640
f(4) = -1280

Final Answer: -1280

7 0

3 years ago

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While visiting a memorial, a person approximated the angle of elevation to the top of the memorial to be 35º. After walking 255

Alenkasestr [34]

Draw a diagram to illustrate the problem as shown in the figure below.

Let h the height of the hill. =

At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.

By definition,

tan(40°) = h/x h = x tan40 = 0.8391x

(1)

At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is

40 + 18 = 58°.

By definition, tan(58°) = h/(x - 450)

h = (x - 450) tan(58°) = 1.6003(x-450)

h = 1.6003x - 720.135 (2)

Equate (1) and (2).

1.6003x - 720.135 = 0.8391x 0.7612x = 720.135

x = 946.0523

From (1), obtain

h = 0.8391*946.0523 = 793.8 ft

Answer: The height of the hill is approximately 794 ft (nearest integer)

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2 years ago

QUADRATIC FORMULA SIMPLIFIED PLZ HELP

olga2289 [7]

Answer:

3x² + 5x + 1 = 0 simplified

x = (-5 ± $\sqrt{13}$ )/6 roots

Step-by-step explanation:

Given quadratic formula

3x² + 5x - 5 = - 6

Standard form

ax² + bx + c = 0

Simplifying

3x² + 5x - 5 + 6 = 0
3x² + 5x + 1 = 0

Solving

x = (-5 ± $\sqrt{5^2 -4*3*1}$ )/(2*3)
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3 years ago

Karen and her friends went to dinner at Olive Garden. Their bill was $58 including tax.

tester [92]

Answer:

$69.60

Step-by-step explanation:

58 increase 20% =

58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6

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3 years ago

What percentage of 128 is 96?

katrin [286]

So, since 100% = 128, x should equal 96, and we are trying to find x.
Multiply both sides of the equation by x.
(100/x) * x = (128/96) * x
Cancel out the x's on the left side so
100 = 1.333(x)
75 = x
96 is 75% of 128

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3 years ago

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