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Morgarella [4.7K]
3 years ago
10

This was given to me during a summative test and the teacher didn't bother giving me the correction. I just cannot figure it out

Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Step-by-step explanation

Dmitry [639]3 years ago
7 0
  • Base be y

ATQ

\\ \sf\longmapsto xy=6050\dots 1

\\ \sf\longmapsto 2(x+y)=220\implies x+y=110\dots 2

Now

\\ \sf\longmapsto (x+y)^2=x^2+y^2+2xy

\\ \sf\longmapsto 110^2-2(6050)=x^2+y^2

\\ \sf\longmapsto 12100-12100=x^2+y^2

\\ \sf\longmapsto x^2+y^2=0\dots(3)

From all equations

\\ \sf\longmapsto (x-y)^2=x^2+y^2-2xy

\\ \sf\longmapsto (x-y)^2=0-2(6050)

\\ \sf\longmapsto (x-y)^2=-12100

\\ \sf\longmapsto (x-y)=110\dots(4)

Now

Adding 3 and 4

\\ \sf\longmapsto 2x=220

\\ \sf\longmapsto x=110m

One side won't be covered hence

  • y=2(110)=220m
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The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i
tatyana61 [14]
Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:

Equation No. 1 -
x + y = 180°

After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
3x - 8 + x = 180°

Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
x + y = 180°
y = 180 - x

Then, let's make (x) the subject in the second equation & solve as displayed below:

Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°

After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

y = 180 - x
y = 180 - ( 47 )
y = 133°

We are now able to establish that the value of the two angles are as follows:

x = 47°
y = 133°

In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.

133 is greater than 47 as displayed below:

133 > 47

Therefore, the measure of the larger angle is 133°.
4 0
3 years ago
Which of the following is an example of a null hypothesis? A. The average quantity of detergent put into a box by this filling m
gavmur [86]

Answer:

C

Step-by-step explanation:

Null hypothesis: hypthesis to test that there is no significant difference between the specific characteristic of a population. Analysts look to reject a null hypothesis

A. the shipping company's average delivery time is different from 3 days. This is an example of alternative hypothesis. Null hypothesis is writtien as a claim

B. This again is an example of alternate hypthesis. The claim that mean is 0.03 is rejected with the results

C. This is a claim

D. This is rejection of a claim that mean is 1 pound

E. This is rejection of claim that average delivery time is 3 days.

5 0
3 years ago
Classify ( 3 − 1 3 ) as rational or irrational, and explain your reasoning.
Jet001 [13]

Answer:

rational

Step-by-step explanation:

the equation above would be -10 making it an integer

integers are rational

4 0
3 years ago
In the equation (m^5/6) (m^1/6)^7 = m^x , what is the value of x that makes the equation true?
vlabodo [156]

{m}^{ \frac{5}{6} }  \times (m {}^{ \frac{1}{6} } ) {}^{7 }  = m {}^{x}

m {}^{ \frac{5}{6} }  \times m {}^{ \frac{7}{6} }  = m {}^{x}

{m}^{ \frac{5 \times 7}{6 \times 6} }  =  {m}^{x}

\frac{35}{36}  = x

6 0
2 years ago
Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.
dimaraw [331]

Answer:

The Spotted Cows delivery service has a greater rate of change.

Explanation

The Spotted Cows function is: y = 2.8x + 2

Dairy Farms function is: y = 2.1x + 10

I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.

Hope this helps!

6 0
3 years ago
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