All categories

2 years ago

Tim wants to determine the height, x, of a nearby tree. He stands 35 feet

Mathematics

1 answer:

kodGreya [7K]2 years ago

6 0

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = $\frac{opposite}{adjacent}$ = $\frac{x}{35}$ ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

You might be interested in

Find the 7th term of the arithmetic sequence 4x + 5, 11x + 9,18x + 13, ...

Svet_ta [14]

Step-by-step explanation:

we see the common difference is

a2-a1 = 11x + 9 - 4x - 5 = 7x + 4

an = an-1 + (7x+4) = a1 + (n-1)×(7x+4)

for a7 we have then

a7 = 4x + 5 + 6×(7x +4) = 4x + 5 + 42x + 24 = 46x + 29

5 0

2 years ago

Which of the following is equivalent to 6x 2 + x - 12 ?

bagirrra123 [75]

$6x^2+x-12=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\\\\=(2x-3)(3x+4)\\\\other\ method:\\\\6x^2+x-12\\a=6;\ b=1;\ c=-12\\\Delta=b^2-4ac\to\Delta=1^2-4\cdot6\cdot(-12)=1+288=289\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{289}=17$

$x_1=\frac{-1-17}{2\cdot6}=\frac{-18}{12}=-\frac{3}{2};\ x_2=\frac{-1+17}{2\cdot6}=\frac{16}{12}=\frac{4}{3}\\\\6x^2+x-12=6(x+\frac{3}{2})(x-\frac{4}{3})=2\cdot3(x+\frac{3}{2})(x-\frac{4}{3})\\\\=2(x+\frac{3}{2})\cdot3(x-\frac{4}{3})=(2x+3)(3x-4)$

4 0

2 years ago

The hanger image below represents a balanced equation

kolezko [41]

Answer:

h+7+20

h=13

Step-by-step explanation:

To find 7+ what ='s 20 i just added 13 bc 13+7=20

5 0

2 years ago

Please if you can try your best and help solve this

Arada [10]

X= 47.5 degrees... it has to equal 100 degrees

8 0

2 years ago

Read 2 more answers

Eleven plus forty-one is divided by a number. If the result is 13, what's the number?

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Let the number be x.

(11+41)/x = 13

52/x = 13

13x = 52

x = 52/13

x = 4

4 0

2 years ago