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Hoochie [10]
3 years ago
6

find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58 degrees. find the length to the nearest

tenth of a foot.

Mathematics
1 answer:
ddd [48]3 years ago
3 0
If you looks at the well drawn picture that I drew, you'll notice that we notice that we can use the trigonometric ratio tan; in this case:

tan58=\frac{10}{x}
Solving this, we get:
x=\frac{10}{tan58}
Which gets us that x=6.25 (approximately)

(It really wasn't that great of a picture but still :D)

:)

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Write inequalities to represent the situations below. The cargo of the truck weighs no more than 2,000 pounds. Use w to represen
Alex777 [14]

Answer:

w ≤ 2000 lb.

d ≥ $100

Step-by-step explanation:

6 0
3 years ago
List the fractions and decimals in order from least to greatest -3/8, 5/16, -0.65, 2/4
kogti [31]
In order of least to greatest: -5/16 , -3/8 , -0.65 , 2/4
4 0
3 years ago
Put the numbers in order from least to greatest.
koban [17]

Answer:

0.5\times{10}^{-5},

0.00025,

3.5\times{10}^{-4},

1.45 \times {10}^{-3},

25.4 \times  {10}^{ - 4},

0.025,

1.25\times {10}^{-1},

0.025 \times10

Step-by-step explanation:

We can do it this way.

First, let us clear off the powers by multipying each number by

{10}^{5}

This implies that,

1.25 \times  {10}^{ - 1} = 1.25 \times  {10}^{ - 1} \times  {10}^{5}

\implies \: 1.25 \times  {10}^{ - 1}  = 125 \times  {10}^{ - 2} \times  {10}^{ - 1} \times {10}^{5}

\implies \: 1.25 \times  {10}^{ - 1}  =125 \times  {10}^{( - 2 - 1 + 5)}

\implies \: 1.25 \times  {10}^{ - 1}  =125 \times {10}^{2}= 125 \times 100 = 12500

0.00025 = 25 \times {10}^{ - 5} \times {10}^{5}

\implies0.00025 = 25 \times {10}^{ - 5 + 5} = 25

0.025 = 25 \times  {10}^{ - 3}=25 \times{10}^{ - 3}\times {10}^{5}

\implies0.025 = 25 \times  {10}^{ - 3}=25 \times{10}^{ - 3 + 5}

\implies0.025 = 25 \times  {10}^{ - 3}=25 \times{10}^{2} = 25 \times 100 = 2500

0.025 \times 10=25 \times  {10}^{ - 3} \times10 \times {10}^{5}

\implies0.025 \times10=25\times{10}^{(- 3 + 1 + 5)}=25\times{10}^{3}

\implies0.025\times10=25\times1000 = 25000

0.5\times {10}^{-5}=0.5\times {10}^{ - 5} \times  {10}^{5}

0.5\times{10}^{-5}=0.5\times {10}^{(- 5+5)}=0.5

1.45 \times {10}^{-3} = 145 \times  {10}^{ - 2} \times {10}^{ - 3} \times {10}^{5}

\implies1.45 \times {10}^{-3} = 145

25.4 \times  {10}^{ - 4} = 254 \times {10}^{-1} \times {10}^{ - 4}  \times  {10}^{5}

\implies25.4 \times {10}^ {-4} = 254

3.5 \times{10}^{-4}=35 \times {10}^{-1} \times  {10}^{ - 4} \times {10}^{5}

\implies3.5 \times{10}^{-4}=35

Arranging in order from the smallest, we have;

0.5,25,35,145,254,2500,12500,25000

Hence,

0.5\times{10}^{-5},

0.00025,

3.5\times{10}^{-4},

1.45 \times {10}^{-3},

25.4 \times  {10}^{ - 4},

0.025,

1.25\times {10}^{-1},

0.025 \times10

5 0
3 years ago
The average cost for vacation is $1050 if a family borrows money for the vacation at an interest rate of 11.9% for six months wh
scoray [572]
The answer to this question is 1764
5 0
3 years ago
What is the solution of the following system of equation x +y = 2 x - y = 4
sergiy2304 [10]

Answer:

X+y=2

x-y=4

(x+y)+(x-y)= 2+4

X+y+x-y=6

2x=6

X=3

3+y=2    or 3-y=4

Y=-1

3+(-1)=2 or 3-(-1)=4

Step-by-station:

7 0
3 years ago
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