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Arada [10]
2 years ago
6

What parcent of line segment AB is equal to 50% of line segmengCD

Mathematics
1 answer:
wel2 years ago
6 0
100%...................
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A surveyor in a canyon takes measurements and draws the diagram shown.
Fiesta28 [93]

Answer:

\approx 118.4

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

c^2=a^2+b^2-2abcos(C), where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

c^2=115^2+178^2-2(115)(178)cos(41)

c^2=44909-40940cos(41)

c=\sqrt{44909-40940cos(41)}

c \approx 118. 4

5 0
3 years ago
A scientist has a sample of bacteria that initially contains 10 million microbes. They observe the sample and finds that the num
sergiy2304 [10]

Answer:

M(t) = 6.7 * 10⁷ (67 million)

Minutes (t) =55

Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

ln 6.7 = t/20 ln 2

ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

t = 2.74 * 20

t = 54.88

t ≅ 55 (rounding to the nearest minute)

3 0
2 years ago
Graph the line that has a slope of 1/8 and includes the point (0,4).
ruslelena [56]

Answer: i cant graph  but polt 0,4 on the y axis the go up 1 to the right 8

Step-by-step explanation:

5 0
2 years ago
An apple is cut into 6 equal slices nancy eats 2 of the slices what fraction of the app is left
gavmur [86]

Answer: 2/3

Step-by-step explanation:

6 whole

Subtract the eaten fraction:

6 - denominator

2 - numerator

Thus,

6/6 - 2/6 = 4/6

Simplify: 4/6 = 2/3

7 0
2 years ago
Read 2 more answers
Determine which letter best shows the location of the fraction.
Crank
Is there an imagine you forgot to attach to the question? would love to help but i don’t see any options :(
7 0
2 years ago
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