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Tpy6a [65]
3 years ago
9

What is a reasonable measure for the angle shown?

Mathematics
1 answer:
monitta3 years ago
7 0
10° is your answer for the angle
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If a hiker starts at sea level and increases her elevation at a rate of 1 foot per minute what will her elevation be in 20 minut
sattari [20]

Answer:

20 feet above sea level.

Explanation:

This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.

With this rate, after 20 minutes, the elevation can be shown as:

20 min × 1 foot= 20 feet.

4 0
2 years ago
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Lucy went for a drive in her new car. She drove for 3 hours at a speed of 37.5 miles per hour. For how many miles did she drive?
zimovet [89]

Answer:

She drove a 122.5 miles

Step-by-step explanation:

6 0
3 years ago
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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
3 years ago
Find the missing side round your answer to the nearest tenth
kap26 [50]
Use trigonometric ratios.
Use angle(19)
Adjacent side of angle measure 19 is X
The hypotenuse is 21.
Use the cosine
Cos(19)=x/21

Plug in calculator
(21)cos(19)=19.85

Round to the nearest tenth. Which means the 8 rounds up to 9.

Answer: 19.9
7 0
3 years ago
if the angles of triangle RST and measure of angle R= (9x-2)degrees, and the measure of angle S=(4x+36) degrees, and measure of
Salsk061 [2.6K]

Answer:

R, T, S

Step-by-step explanation:

R+S+T=180 degrees

9x-2+4x+36+5x+20=180

18+54x=180

54x=162

x=3

R=9*3-2 (substitute x with 3)

R=25

S=4*3+36

S=48

T=5*3+20

T=35

Shortest to longest: R, T, S

8 0
3 years ago
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