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3 years ago

Erica makes 4,840$ monthly. What is the maximum loan she can take out on a house?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

6 0

The maximum loan she can take out on a house is $174,240

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U matter.

olga2289 [7]

Answer:

thank you <3 I needed this.

Step-by-step explanation:

who's cutting onions??!?!?

6 0

3 years ago

A square park measures 170 feet along each side. Two paved paths run from each corner to the opposite corner and extend 3 feet i

Cerrena [4.2K]

Answer:

The total area, in square feet, taken by the paths is 2,004

Step-by-step explanation:

see the attached figure with lines to better understand the problem

I can divide the figure into four right triangles, one small square and four rectangles

step 1

Find the area of the right triangle of each corner of the path

The area of the triangle is

$A=(1/2)(b)(h)$

substitute the given values

$A=(1/2)(3)(3)=4.5\ ft^2$

step 2

Find the hypotenuse of the right triangle

Applying Pythagoras Theorem

Let

d -----> hypotenuse of the right triangle

$d^{2}=3^{2}+3^{2}$

$d^{2}=18$

$d=\sqrt{18}\ ft$

simplify

$d=3\sqrt{2}\ ft$

The hypotenuse of the right triangle is equal to the width of the path

step 2

Find the area of the small square of the path

The area is

$A=b^{2}$

we have

$b=3\sqrt{2}\ ft$ ----> the width of the path

substitute

$A=(3\sqrt{2})^{2}$

$A=18\ ft^2$

step 3

Find the length of the diagonal of the square park

Applying Pythagoras Theorem

Let

D -----> diagonal of the square park

$D^{2}=170^{2}+170^{2}$

$D^{2}=57,800$

$D=\sqrt{57,800}\ ft$

simplify

$D=170\sqrt{2}\ ft$

step 4

Find the height of each right triangle on each corner

The height will be equal to the width of the path divided by two, because is a 45-90-45 right triangle

$h=1.5\sqrt{2}\ ft$

step 5

Find the area of each rectangle of the path

The area of rectangle is $A=LW$

we have

$W=3\sqrt{2}\ ft$ ----> width of the path

Find the length of each rectangle of the path

$L=(D-2h-d)/2$

where

D is the diagonal of the park

h is the height of the right triangle in the corner

d is the width of the path (length side of the small square of the path)

substitute the values

$L=(170\sqrt{2}-2(1.5\sqrt{2})-3\sqrt{2})/2$

$L=(170\sqrt{2}-3\sqrt{2}-3\sqrt{2})/2$

$L=(164\sqrt{2})/2$

$L=82\sqrt{2}\ ft$

Find the area of each rectangle of the path

$A=LW$

we have

$W=3\sqrt{2}\ ft$

$L=82\sqrt{2}\ ft$

substitute

$A=(82\sqrt{2})(3\sqrt{2})$

$A=492\ ft^2$

step 6

Find the area of the paths

Remember

The total area of the paths is equal to the area of four right triangles, one small square and four rectangles

substitute

$A=4(4.5)+18+4(492)=2,004\ ft^2$

therefore

The total area, in square feet, taken by the paths is 2,004

3 0

3 years ago

Heidi went on a hike and now needs to ride her bike back to her tent. She starts out by traveling 15 miles south. Then she turns

Lubov Fominskaja [6]

Answer:

17 miles

Step-by-step explanation:

If Heidi starts out by traveling 15 miles south, then y = -15 miles

If she then turns and rides 8 miles east, then x = +8miles

The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;

d = √(-15)²+8²

d = √225+64

d = √289

d = 17miles

Hence her distance from her starting position to her tent is 17 miles

6 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPP

padilas [110]

DE+EF=DF
8x+2=x+9
8x-x=9-2
7x=7
x=7/7
x=1

DF=x+9
put the value of x
DF=1+9
DF=10

4 0

2 years ago

Read 2 more answers

Please help, I don't get this

Alex

Answer:

The answer is c

Step-by-step explanation:

My college brother told me this is the answer if it isn't I'm sorry but it's his fault

8 0

3 years ago