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3 years ago

tonya is 1.3 meters tall. she stands 7 meters in front of a tree and casts a shadow of 1.8 meters long. how tall is the tree

Mathematics

1 answer:

butalik [34]3 years ago

5 0

Answer:

The tree is 6.36 meters tall.

Explanation: Let AB is tree of height h t = ? and CD is Tonya h g = 1.3 meter tall at A C = 7 meters in front of tree . The shadow C E = 1.8 meters long . So two similar triangles are formed , one Δ A E B and other Δ C E D . So A B C D = A E C E or h t h g = A E A C or h t h g = A C + C E AC or h t 1.3 = 7 + 1.8 1.8 or h t = 8.8 ⋅ 1.3 1.8 ≈ 6.36 ( 2 d p )m

The tree is 6.36 meter tall.

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The original blueprint of a rectangular concrete patio has a scale of 2 inches = 3 feet. The blueprints dimensions are 14 in by

tester [92]

Answer:

3+2 14+12 i guess

Step-by-step explanation:

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2 years ago

Help. Find the value of x to the nearest tenth

vodka [1.7K]

I will assume that line 4 bisect line x exactly in half. This means that if we solve the last side of the triangle like seen in the pic below we will know what half of line x is

To find the length of the last side of the triangle (let's call this y) you must use Pythagorean theorem

$a^{2} +b^{2}=c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 4

b = y

c = 6

^^^Plug these numbers/variables into the theorem

$4^{2} +y^{2} =6^{2}$

solve for y

16 + $y^{2}$ = 36

$y^{2}$ = 20

x = √20

x ≈ 4.472

^^^This is only half of x so if you double it then it will get you the full length of x

4.472 * 2 = 8.944

8.9 (D)

Hope this helped!

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6 0

3 years ago

Need help urgently please

kakasveta [241]

Answer:

x = -12

y = 3

Step-by-step explanation:

$1/2x + 6(x+15) = 12\\1/2x + 6x + 90 = 12\\6\frac{1}{2} x + 90 = 12\\6\frac{1}{2} x= -78\\x = -12$

$y = x + 15\\y = -12 + 15\\y = 3$

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1 year ago

Read 2 more answers

Help w this also! please<3

jolli1 [7]

Answer:

equation for line: y = 5/3x -7/3

Step-by-step explanation:

The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.

Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:

(2,1) x=2,y=1

1 = 5/3*2 + c

1 = 10/3 + c

1 - 10/3 = c

3/3 - 10/3 = c

-7/3 = c

The final eqaution of the line is: y = 5/3x -7/3

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3 years ago

A function g(x) decreases by 7 over every unit interval in x and g(0) = 0

Zina [86]

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