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2 years ago

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

Mathematics

1 answer:

Alex2 years ago

5 0

The value of x in the triangle is 28.1 degrees

<h3>How to solve for x?</h3>

The given triangle is a right triangle.

So, the relationship between the sides and angle x is:

sin(x) = opposite/hypotenuse

This gives

sin(x) = 8/17

Evaluate the quotient

sin(x) = 0.4706

Take the arc sin of both sides

$x = \sin^{-1}(0.4706)$

Evaluate

x = 28.1

Hence, the value of x in the triangle is 28.1 degrees

You might be interested in

Which expression is equivalent to 7/2h -3(5h-1/2) ?

docker41 [41]

Another expression that is equivalent to 7/2h-3(5h-1/2) is -23/2h+3/2

8 0

3 years ago

Francis can buy 7 shirts for $42 or 8 shirts for $48. How much will she pay for nine?

Delvig [45]

Answer:

$54

Step-by-step explanation:

$42/7=6\\48/8=6\\x/9=6\\x=54$

Hope this helped :D

5 0

3 years ago

Read 2 more answers

A drawer contains a dozen unmatched brown socks and a dozen unmatched black socks. how many socks must someone take out to ensur

krok68 [10]

<span>A) 3 - The third sock will match the first or second if they don't match each other.
B) 14 - It's highly unlikely yet possible to remove all brown socks first, the next two would have to be black.</span>

5 0

3 years ago

The Super Bounce brand of bouncy balls rebounds to 85% of the height from which it was dropped. Write both the explicit and recu

jarptica [38.1K]

Answer:

Explicit formula is $h(n)=4(0.85)^{n-1}$ .

Recursive formula is $h_n=0.85h_{n-1}$

Step-by-step explanation:

Step 1

In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , $a_{n+1}=ar^{n-1}.$ In this case the first term $a_o=4$ , the common ratio $r=0.85$ since the ball bounces back to 0.85 of it's previous height.

We can write the explicit formula as,

$h(n)=4(0.85)^{n-1}.$

Step 2

In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is $a_n=a_{n-1}\times r.$

With the parameters given in this problem, we write the general term of the sequence as ,

$h(1)=4\\h(n)=h_{n-1}\times 0.85.$

8 0

3 years ago

Read 2 more answers

Cada par de puntos determina una recta con la pendiente dada. Halla el valor de la incógnita en cada caso: a. (3,2);(4,x); m=1 b

True [87]

Answer:

a=3,b=0,c=5,d=-4/21

Step-by-step explanation:

The formule we use to get the slope is:

m = $\frac{y2-y1}{x2-x1}$

a. (3,2);(4,x); m=1

$\frac{x-2}{4-3}=1$ → x= (1)(4-3)+2 → 3

b. (b,-1);(2,-2); m=-1/2

$\frac{-2-(-1)}{2-b}=\frac{-1}{2}$ → -1= ( $\frac{-1}{2}$ )(2-b) → $\frac{-1}{\frac{-1}{2} }-2$ → 0

c. (5,d);(9,2); m=-3/4

$\frac{2-d}{9-5}=\frac{3}{4}$ → d= ( $\frac{-3}{4}$ )(9-5)-2 → 5

d. (-1/3,3/4);(h,5/6); m=7/12

$\frac{\frac{5}{6}-\frac{3}{4} }{h-\frac{-1}{3} }=\frac{7}{12}$ → $\frac{5}{6}-\frac{3}{4}$ = $\frac{7}{12}$ ( ${h-\frac{-1}{3} }$ ) → $\frac{-4}{21}$

We get this equation with the original one:

y=mx+b

There are three forms of linear equations:

point-slope form y2-y1=m(x2-x1)

standard form Ax + By + C = 0 or Ax + By = C

and slope-intercept form y=mx+b

4 0

4 years ago