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viva [34]
3 years ago
15

A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 51 degrees. How high does the lad

der reach up the side of the building? Please round your answer to 2 decimal places.

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

19.43 ft

Step-by-step explanation:

Using SOHCAHTOA,

opposite = x

Hypothenus = 25ft

Sin α = opposite /Hypothenus

Sin 51° = x/25

x = 25(Sin51°)

x = 19.4286

x = 19.43(approximate to 2 d.p)

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What is 14c12?<br> A. 78<br> B. 91<br> C. 105<br> D. 120
Delicious77 [7]

9514 1404 393

Answer:

  B.  91

Step-by-step explanation:

14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91

5 0
3 years ago
Solve the inequality.
zysi [14]

Answer:

?= 2

X=1

Step-by-step explanation:

3(1+1)<9

3×2<9

6<9

Pls mark brainliest.

8 0
1 year ago
Read 2 more answers
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
Given the graph of y=f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of y=f(x−4)+3.
Sergeeva-Olga [200]

Answer:

See graph in attachment.

Step-by-step explanation:

The graph of y=f(x) is a parabola that has its vertex at the origin.

The equation of the transformed graph is

y=f(x-4)+3

The vertex of this transformed function is

(4,3)

Drag the blue graph up so that the vertex will now be at (4,3).

See graph in attachment.

6 0
3 years ago
Read 2 more answers
What is x+y=10;y=x+10
Alenkasestr [34]

[ Answer ]

\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}

[ Explanation ]

  • System Of Equations \bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}

-----------------------------------

  • [Substitute] Y = X + 10

\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}

  • Isolate x for x + x + 10 = 10: x = 0

For y = 10

Substitute x = 0

Y = 0 + 10

0 + 10 = 10

y = 10

  • Solutions

X = 0

Y = 10

\boxed{\bold{[] \ Eclipsed \ []}}

3 0
3 years ago
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