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IrinaK [193]
4 years ago
15

Hey I need help anyone willing to help me please . Need help on 3 and 4

Mathematics
1 answer:
Bumek [7]4 years ago
3 0

Answer:

Please see the attached images for full solution.

For question 3, the equation could have also been 3x°= 90°. However, I used ∠ sum of △ since I didnt want to assume that ∠ABC is a right angle.

Likewise for Q4, the polygon looks like a trapezium which means that the 2 horizontal lines are parallel and one could conclude that (3x +3)° +(2x +2)°= 180° (int. ∠s). But since it wasn't clearly indicated that they are parallel, I used the sum of interior angles to find x instead.

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A home has a current market value of $225,000. MLS data from the last five years shows that home values have appreciated 6% per
Anastasy [175]

Answer:

THe value after 5 years will be $301100.755

Step-by-step explanation:

Each year the houses appreciates a 6%; as a result, the price of the house is multiplied by 1.06 for each passing year. If 5 years passed, then the price would multiply for 1.06 a total of 5 times, hence it will be multiplied by 1.06⁵.

The value of the house after 5 years will be

225000*1.06⁵ = $301100.755

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4 years ago
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Answer:

your work is hard

Step-by-step explanation:

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3 years ago
A person owns two shops. This year the telephone bill for the first shop was $580 less than three times the telephone bill for t
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Step-by-step explanation:

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If C = t - 5 and B = t^2 + 2, find an expression that equals 2C + 2B in standard<br> form.
adell [148]

Answer:

t² + t - 3 = 0

Step-by-step explanation:

C = t - 5

B = t² - 2

2C + 2B

= 2(t - 5) + 2(t² + 2)

= 2t - 10 + 2t² + 4

= 2t² + 2t - 6

=> t² + t - 3 = 0

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2 years ago
Farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep safe. since dr. jones is a math
sweet [91]

Consider the attached figure (note that the axis are not in a 1:1 scale).

We want the (finite) area between the two parabolas, where y = 6x^2 is the green one, and y = x^2+10 is the red one.

We need the following result: given a function f, the integral

\displaystyle \int_a^b f(x)\; dx

returns the area between the function and the x axis.

So, if we subtract the area below the green function between points A and B from the area below the red function between points A and B, we have exactly the area between the two. So, we need the x coordinates of points A and B.

Since they are the points of interception between the two parabolas, we can compute them by solving the equation

6x^2 = x^2+10 \implies 5x^2=10\implies x^2=2 \implies x=\pm\sqrt{2}

So, we need

\displaystyle \int_{-\sqrt{2}}^{\sqrt{2}} (x^2+10)-6x^2 = \int_{-\sqrt{2}}^{\sqrt{2}} -5x^2+10

The primitive of this function is

F(x) = -\cfrac{5x^3}{3} + 10x + C

And we need to compute it at the two endpoints: the area is given by

A = F(\sqrt{2}) - F(-\sqrt{2}) = \cfrac{20\sqrt{2}}{3} - (- \cfrac{20\sqrt{2}}{3}) = \cfrac{40\sqrt{2}}{3}

8 0
4 years ago
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