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Leona [35]
3 years ago
13

In July, the average temperature in one US city was 29 degrees by December, the average temperature had fallen by 29 degrees. Ex

plain why the average temperature in December was 0 degrees.
Mathematics
2 answers:
VikaD [51]3 years ago
4 0

Step-by-step explanation:

In July, it was positive 29 degrees, but in December it was negative 29 degrees. When you have 29-29 you get 0. Hope that helped

FinnZ [79.3K]3 years ago
4 0

Answer:

Sample Response: The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.

Step-by-step explanation:

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
3r2 + 11r + 8<br> Factor completely
crimeas [40]

Answer:

(3r+8)(4+1)

Step-by-step explanation:

5 0
3 years ago
The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai
fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

a)

First, we need to find the new mean (average) if one of the employees gets a 3500 raise.  The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

b)

The mode is the most common number in a set.  Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary.  The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

c)

The most common number is still 35600.  So the mode hasn't changed: 35600.

4 0
3 years ago
Which choice is equivalent to the expression below? HELP PLEASE THE PROBLEM IS ON THE PICTURE!!!!!!!
zvonat [6]
The correct answer is C
5 0
3 years ago
Y=4x² – 3<br><br> Identify the domain and range of each function
Sidana [21]

Answer:

Step-by-step explanation:

domain X is real number

range Y larger or equal to -3 (cause 4x^2 is always >= 0)

8 0
3 years ago
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