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allochka39001 [22]
3 years ago
9

Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how

much will he pay?

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
8 0
To find the area of a triangle, multiply the base by the height and divide by 2.
The figure shows a base of 98 ft and a height of 47 ft.

A = \dfrac{bh}{2}

A = \dfrac{98~ft \times 47~ft}{2}

A = 2,303 ~ft^2

Now that we know the area, we multiply it by the cost of the land per square foot.

2,303 ft^2 * $42.50/ft^2 = $97,877.50

He must pay $97,877.50
julsineya [31]3 years ago
5 0
First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay. 

2,303x42.50=97,877.50.

He will pay $97,877.50.
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The length of each side of a rhombus is 10 and the measure of an angle of the rhombus is 60. Find the length of the longer diago
Svetllana [295]
The diagonals of a rhombus are perpendicular bisectors of each other, and are also angle bisectors. The 4 congruent right triangles the rhombus is cut into by the two diagonals are 30-60-90 degree triangles, the longer leg is √3/2 of the hypotenuse, √3/2 of 10=5√3. so the longer diagonal is twice of 5√3=10√3 
4 0
3 years ago
The sum of 2 numbers (x and y) is 20, and their product is 51. What are the values of x and y
Murljashka [212]

Answer: 13&7

Step-by-step explanation:

The sum of two numbers x&y is 20

Product of the 2numbers xy is 51

X+y=20......equation 1

XY=51.........equation 2

X=20-y.......equation 3

Substitute for x inequation 3 into equation 2

So we have;

(20-y)y=51

Open the bracket

20y-y^2=51

Collect like terms,so we have

Y2-20y+51=0

Factorise

Factors of 51 is 13&7

So -13-7=-20 &-13×-7=51

Substitute

Y2-13y-7y+51=0

Y(y-13)-7(y-13)=0

(Y-7)(y-13)=0

Y-7=0

Y=7 or

Y-13=0

Y=13

Y=13 or 7

Substitute for y in equation 1

X+y=20

X+7=20

X=20-7

X=13 or

X+13=20

X=20-13

X=7

Therefore, X &Y = 13 &7

4 0
3 years ago
What is the x-value of the solution of the system of
Nady [450]

Answer:

x = -1, y = -4

Step-by-step explanation:

Let's solve our system of equations by substitution.

y = 5x + 9y = −x + 3

Step: Solve = 5x + 9 for y:

y = 5x + 9

Step: Substitute 5x + 9 for y in y = −x + 3:

y = −x + 3

5x + 9 = −x + 3

5x + 9 + x = −x + 3 + x (Add x to both sides)

6x + 9 = 3

6x + 9 + −9 = 3 + −9 (Add -9 to both sides)

6x = −6

6x/ 6 = −6/6(Divide both sides by 6)

x = −1

Step: Substitute −1 for x in y = 5x + 9:

y = 5x + 9

y = (5)(−1) + 9

y = 4(Simplify both sides of the equation)

So our answers are y = -4 and x = -1.

8 0
4 years ago
In the diagram, HGF is a straight line. Given EF = 4 cm and HG = GF = 3 cm, find :
Alecsey [184]
If HG and GF are both 3, then the whole length of the base is 6. The tan ratio is the side opposite the reference angle (length 4) over the side adjacent to the angle (length 6), which for us looks like this:
tan(x)= \frac{4}{6} = \frac{2}{3}=.6666667
Now use the inverse tan button (2nd-->tan) to get
tan^{-1} (.66667)=33.69
As far as the sin y goes, you have to use the Law of Sines because you are not working with a right triangle in that case.  I mean you are as far as having to find out what the hypotenuses are triangle EFH and triangle EFG.  The hypotenuse in triangle EFH is 7.211, and the hypotenuse in triangle EFG is 5. Using the Law of Sines to solve for y, you get this:
\frac{siny}{7.211} = \frac{sin33.69}{5}
Solving for y and using the inverse sin gives you that y = 53.12
If you are not familiar with setting up the Law of Sines, nothing I could tell you here would help. If you are familiar, then you get the idea of where the numbers came from and why they are set up that way. Hope that helps. That second part was quite hard.

7 0
4 years ago
The Function f(x) =15,000(0.88)x represents the value of a car over x years . What is the most appropriate domain for which the
Ksivusya [100]
160 percent of original

5 0
3 years ago
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