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Murljashka [212]
3 years ago
12

A 9-foot ladder is placed 4

Mathematics
1 answer:
ikadub [295]3 years ago
5 0
5 feet is how far the ladder reaches
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Find the value of x and the value of y.
Elan Coil [88]

Answer:

Step-by-step explanation:

According to the diagram ,

Hypotenuse = 10√3

Opposite = x

Adjacent = y

α = 60

Using SOHCAHTOA ,

Sin α = opp / hyp

Sin 60= x/10√3

√3/2= x/10√3

x = 15

Pythagoras theorem ;

Hypotenuse ^2 = Opposite ^2 +Adjacent ^2

10√3 ^2 = 15^2+ y^2

300 = 225 +y ^2

300 -225 = y^2

75 = y^2

y = √75y

y = 5√3

5 0
3 years ago
Wirte a decimal for each of the following 9x100+2x10+3x0.1+7x0.001
borishaifa [10]

We need to perform multiplication and addition property for this problem to represent the final result in decimal form. So, the expression is,

9x100+2x10+3x0.1+7x0.001 .

Now 9 x 100= 900

2 x= 10= 20

3x0.1= 0.3

7x 0.001=0.007

Now we can all the numbers. Hence,

900+20+0.3+0.007=920.307

So, the decimal number is 930.307.

4 0
3 years ago
1. Find the sum of the measures of the interior angles of a convex 11-gon.
OleMash [197]

Answer:

The measure of the sum of interior angles of a 11-gon is 1620^{o}.

Each interior angle is approximately 147.273^{o}.

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than 180^{o}.

But,

sum of interior angles of polygon = (n - 2) x 180^{o}

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x 180^{o}

                                         = 9 x 180^{o}

                                         = 1620^{o}

Sum of angles of a 11-gon = 1620^{o}

To check: convex polygons' interior angles are less than 180^{o}.

so that,

each interior angle of 11-gon = \frac{1620}{11}

                                        = 147.273^{o}

3 0
3 years ago
What are the opposites of 6, −3.4, 2.25, and 8 1/ 5 ? Enter the answers in respective order, each separated by comma.
lianna [129]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How much interest is earned in 4 years on $5,000 at a simple interest rate of 3%?
Sever21 [200]

Answer:

the answer is 600

Step-by-step explanation:

$5,000×3%×4years÷100%=$600

5 0
3 years ago
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