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Inga [223]
2 years ago
6

What is the area of a triangle with a base of 14. 5 cm and a height of 7. 1 cm?​

Mathematics
1 answer:
Grace [21]2 years ago
4 0

Answer:

51.475\: cm^3

Step-by-step explanation:

Base (B) = 14.5

Height (H)= 7.1

Area of Δ =1/2 × B × H

\frac{1}{2} \times 14.5\times 7.1

51.475\: cm^3

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1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
Help quickly please!!!
sineoko [7]

Answer:

M= -2

B=1

Step-by-step explanation:

<u><em>Y-intercept</em></u><em> is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero</em>

<em><u>Slope</u></em> <em>is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:</em>

\frac{y1-y2}{x1-x2}

<em>So now input how much it changes by adding the numbers from each coordinate:</em>

\frac{(-3)-(1)}{(2)-(0)}

<u>Simplify:</u>

<u />\frac{-4}{2}<u />

<em>But we write it as:</em>

-4/2

<em>This is because this looks more like division</em>

<u>Divide:</u>

-4/2=-2

So, your slope is <em><u>-2</u></em> and the y- intercept is <em><u>1</u></em>

I hope this helps u pls give a brainliest and a thx ;)

7 0
2 years ago
The ratio x : 8 is equivalent to the ratio 8 : x^2. What is the value of x?
dimulka [17.4K]

Answer:

x=1

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Need help with this
Alecsey [184]

\frac{x {}^{3}  - 3x {}^{2} - 10x {}^{2} + 30x + 4x - 12  }{x - 3 }  \\  \frac{x {}^{2} \times (x - 3) - 10x \times (x - 3) + 4 \times (x - 3) }{x - 3}  \\  \frac{(x - 3)(x  {}^{2}  - 10x + 4 )}{x - 3}  \\ x {}^{2}  - 10x + 4
8 0
3 years ago
Evaluate.
aleksandrvk [35]

Answer: -2 4/15

Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:

3: 3, 6, 9, 12, 15

5: 5, 10, 15


The first common multiple we see is 15.

Calculation:

3 · 3 = 9

9 + 1 = 10

3 1/3 = 10/3

5 x 5 = 25

25 + 3 = 28

-5 3/5 = -28/5

Now to convert into fifteen as the denominator:

-28/5 = -28 x 3/5 x 3 = -84/15

10/3 = 10 x 5/3 x 5 = 50/15

Now to subtract accordingly:

50/15 - 84/15 = -34/15

Final answer: -34/15 (can be reduced to -2 4/15).

3 0
1 year ago
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