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earnstyle [38]
1 year ago
15

An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.

Mathematics
1 answer:
g100num [7]1 year ago
5 0

Answer:

15.5 cm

Step-by-step explanation:

Since it's corrected to the nearest centimeter, the place value of the units place is 1.

1/2 = 0.5

Upper bound = 15 + 0.5 = 15.5 cm

Hope this helps!

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when staring at the top of the stat
Lyrx [107]

Answer:

h=50.25\ ft

Step-by-step explanation:

<u>Right Triangles </u>

In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including

\displaystyle tan\alpha=\frac{a}{c}

where a is the opposite leg to \alpha and c is its adjacent led .

In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.

The height of the statue is h=a+b, where

a=50tan8^o

b=50tan14^o

Thus

h=50tan8^o+50tan14^o

h=50(tan8^o+tan14^o)

\boxed{h=50.25\ ft}

5 0
2 years ago
A hackberry tree has roots that reach a depth of
Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0
2 years ago
X1/3y1/6 rewrite expression in radical form
arsen [322]

Answer:

Step-by-step explanation:

Please, use the symbol " ^ " to denote exponentiation:

x^(1/3) * y^(1/6)

In radical form, this would be:

∛x*(6th root of y)    (the index of the second root is 6).

Alternatively, you could write:

∛x * √((∛y)).

8 0
2 years ago
Read 2 more answers
my class collected 389 milk jugs. We used 40 jugs. We gave 30 milk to the first graders. how many milk jugs did we have?
BartSMP [9]
We will just do the following steps:-

389 - 40 = 349
349 - 30 = 319

So, in the end your class had 319 milk jugs left.

Hope I helped ya!! 
8 0
2 years ago
a previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packers wishes to fi
vladimir1956 [14]

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

8 0
2 years ago
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