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Olenka [21]
3 years ago
14

Someone please help me ASAP!!

Mathematics
1 answer:
antoniya [11.8K]3 years ago
6 0

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

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Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan
vladimir1956 [14]

Answer:

its 450 k

Step-by-step explanation:

It is given that the temperature of the gaseous planet is linearly related with height of the atmosphere. we can write this in the mathematical equation:

y = m x +c

where y is the temperature values, x is height, m is the slope and c is the y-intercept. we have been given two sets of value in the image, using which we can find the value of slope in y-intercept.

at x = 18.40 km, y = 147.54 K

⇒147.54 = 18.40 m + c      

⇒c = 147.54 - 18.40 m  ..(1)

at x =78.11 km, y = 567.00 K

⇒567.00 =78.11 m + c       ..(2)

Put equation 1 in 2 and solve:

⇒567.00 =78.11 m + 147.54 - 18.40 m

⇒419.46 = 59.71 m

⇒ m =419.46 ÷59.71 = 7.025 K/km

c = 147.54 - 18.40 × 7.025 = 18.28 K

At height, x = 61.5 km the approximate temperature is :

y = 7.025 K/km ×  61.5 km + 18.28 K = 450.3 K

Thus, the approximate temperature at altitude 61.5 km is 450 K.

7 0
3 years ago
Analyze the diagram below and answer the question that follows. If <10 and <15 are congruent, which lines are parallel? A.
yanalaym [24]

If angle 10 and 15 are congruent ( the same) that would mean lines a and b would need to be parallel with each other because that have the same angles.

The answer ic C.

7 0
3 years ago
Read 2 more answers
g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven
Firlakuza [10]

Answer: The required probability is 0.32.

Step-by-step explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32

Hence, the required probability is 0.32.

4 0
3 years ago
This is the graph of y = sin(x). Does anyone know the second part?
Alborosie

Answer:

The resulting graph is y = 5\cdot \sin x.

Step-by-step explanation:

The resulting function is of the form:

y = A\cdot \sin x + k

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

A - Amplitude, dimensionless.

k - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: A > 0. According to the graph, the function is bounded between 5 (y_{max}) and -5 (y_{min}), and the midpoint value (k) is 0. The amplitude is determined by the following calculation:

A = \frac{y_{max}-y_{min}}{2}

If y_{min} = -5 and y_{max} = 5, then:

A = 5

The resulting graph is y = 5\cdot \sin x.

6 0
2 years ago
Is angle 2 in the diagram and angle of elevation or an angle of depression​
Brrunno [24]

Answer:

Angle of elevation

Step-by-step explanation:

An angle measured from the horizontal upwards is an angle of elevation.

An angle measured from the horizontal downwards is an angle of depression.

∠ 2 is a measure from the horizontal upwards thus angle of elevation.

Note that ∠ 3 is an angle of depression

4 0
3 years ago
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