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4 years ago

11

6 x 10^-7 in scientific notation

1 answer:

Kaylis [27]4 years ago

7 0

This is already in scientific notation

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A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the

aliina [53]

Answer:

$C = (30,500)$

Step-by-step explanation:

Given

$Area = 1800ft^2$

$A = (6,0)$

$B = (0,25)$

$C(x,y) = (30,y)$

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

$Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}$

This gives:

$1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(0- 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(-25)|}{2}$

$1800= \frac{|150 - 6y -750 |}{2}$

$1800= \frac{|150 -750- 6y |}{2}$

$1800= \frac{|-600- 6y |}{2}$

Multiply through by 2

$2 * 1800= |-600- 6y|$

$3600= |-600- 6y|$

$3600= |-(600+ 6y)|$

$3600= 600+ 6y$

Solve for 6y

$6y = 3600 - 600$

$6y = 3000$

Solve for y

$y = 3000/6$

$y = 500$

Hence:

The point is:

$C = (30,500)$

7 0

3 years ago

Find the value of X.

Softa [21]

Answer:

x=2

Step-by-step explanation:

$2^{3x+1}+52=180^o$

$2^{3x+1}+52-52=180-52$

$2^{3x+1}=128$

$3x+1=7$

$x=2$

6 0

2 years ago

Ben made 14 field goal he made about 74% how many did he try

andriy [413]

He tried about 10
74% of 14 is 10.36
Round it to a whole number
=10

3 0

3 years ago

Find the equation of the line that has a slope of 3 and passes through the point (-5,4)

Ipatiy [6.2K]

We can use point-slope form (since we have the slope, and 1 ordered pair)

point-slope form is y-y1=m(x-x1)

x=-5
y=4
m=3

y-(4)=3(x-(-5)

7 0

3 years ago

Read 2 more answers

Inequality of 28.005 & 28.05

iogann1982 [59]

Answer:

28.05 > 28.005

Step-by-step explanation:

It might help to express the numbers with the same number of decimal places:

28.050 > 28.005

You can see that 50 is greater than 5.

Hope this Helps!! Have an Awesome Day!! (-:

8 0

4 years ago