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3 years ago

An angle measures 118° less than the measure of a supplementary angle. What is the measure of each angle

1 answer:

4 0

Supplementary angles add up to 180°

x = greater supplementary angle
x - 118 = lesser angle

x + (x - 118) = 180
2x - 118 = 180
2x = 298
x = 149

x - 118
149 - 118 = 31

the angles are 31° and 149°

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Answer:

Step-by-step explanation:

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2 years ago

The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q

Irina-Kira [14]

9514 1404 393

Answer:

q = 40

Step-by-step explanation:

When the quadratic has roots p and r, it can be factored as ...

(x -p)(x -r) = x² -(p+r)x +pr

So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...

p + r = 14

p - r = 6

2p = 20 . . . add the two equations

p = 10

r = 14 -p = 4

The value of interest is then ...

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The graph shows the roots to be 4 and 10, as we found.

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3 years ago

Find the sine of ∠U. A)48/55 B)48/73 C)55/48 D)55/73

charle [14.2K]

Answer:

D) 55/73

Step-by-step explanation:

The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH

is denoted as stated below.

$sine \: \beta = \frac{opposite}{hypotenuse}$

Hence, given the above triangle,

$sine \: of \: angle \: u = \frac{ |bc| }{ |ab| } = \frac{55}{73}$

Therefore, the sine of angle u = 55/73 (D)

6 0

2 years ago

Plutonium–238 has a yearly decay constant of 7.9 × 10-3. If an original sample has a mass of 15 grams, how long will it take to

eduard

The answer is 28 years

At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079
t = ?

12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)

Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
t = 28.23
t ≈ 28 years

8 0

2 years ago

Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How m

Yuri [45]

Equation:
train distance + plane distance = 1300 miles

50x + 275x = 1300
x(325) = 1300
x = 4 hours
4x2=8
---
The trip took 8 hrs.

3 0

2 years ago

Read 2 more answers