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MrMuchimi
2 years ago
14

The sum of 3 fifteens and 4 twos​

Mathematics
2 answers:
Lunna [17]2 years ago
8 0

Answer:

The answer is 53

Step-by-step explanation:

Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53

Solnce55 [7]2 years ago
6 0

Answer:

52

Step-by-step explanation:

15 x 3 = 45

2 x 4 = 8

45 + 8 =52

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

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The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

8 0
3 years ago
In the diagram shown, AE 1/3AC and ED ll CB. Explain why df must be one-fourth length of CD
Blizzard [7]

The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.

<h3>What is the Angle Bisector Theorem?</h3>

The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.

Note that the angle that has been dissected here is ∠CBD. Thus,

\frac{DF}{CF} = \frac{BD}{BC}

See the link below for more about Angle Bisector Theorem of the Triangle:

brainly.com/question/21475560

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2 years ago
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Answer:

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Supplementary angles add up to 180, so 
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