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Artemon [7]
3 years ago
12

A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?​

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

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The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.
Serggg [28]

Answer:

length = 8

width = 4

Step-by-step explanation:

Area = length x breadth

Let x represent the width

length = x + 4

32 = x × (x + 4)

32 = x² + 4x

x² + 4x  - 32  = 0

solving using quadratic equation =

(x² - 4x) -32 + 8x

x = 4 or -8

since width cannot be a negative number, we would use 4

7 0
3 years ago
Find slope of line perpendicular to given line x=3
Ilya [14]

perpendicular means negative reciprocal so it would be -1/3

6 0
3 years ago
Read 2 more answers
Question
leva [86]

Answer:

1800 dollars

Step-by-step explanation:

We can set up an equation here to represent the exponential growth in Terry's bank account.

y = 1600(1.04)^x

We can plug in 3 for x since x is the # of years the account is receiving compound interest on.

y = 1600(1.04)^3

1.04^3 = 1.124864\\1.124864*1600= 1800

8 0
3 years ago
A geometric sequence is defined by the equation an = (3)3 − n.
Delvig [45]
PART A

The geometric sequence is defined by the equation

a_{n}=3^{3-n}

To find the first three terms, we put n=1,2,3

When n=1,

a_{1}=3^{3-1}

a_{1}=3^{2}

a_{1}=9
When n=2,

a_{2}=3^{3-2}
a_{2}=3^{1}

a_{2}=3

When n=3

a_{3}=3^{3-3}

a_{3}=3^{0}
a_{1}=1
The first three terms are,

9,3,1

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
r= \frac{a_{2}}{a_{1}}
r = \frac{3}{9}

r = \frac{1}{3}

PART C

To find
a_{11}

We substitute n=11 into the equation of the geometric sequence.

a_{11} = {3}^{3 - 11}

This implies that,

a_{11} = {3}^{ - 8}

a_{11} = \frac{1}{ {3}^{8} }

a_{11}=\frac{1}{6561}
4 0
3 years ago
The graph of a linear function passes through points A(-2, 5) and B(4, -4). What is the rate of change of the graph?
rodikova [14]

When using the the slope formula the equation would be

-4-5= -9

4- -2=6

You divide and u get 1.5 which is also known as 1 and 1/2

7 0
3 years ago
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