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JulijaS [17]
3 years ago
12

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

s 250 m from its base. Her eye level, where the angle measurement was taken is 1.5 m above the ground. Assuming the ground to be horizontal, find the height of the tree

Mathematics
1 answer:
Reika [66]3 years ago
6 0
See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m.  This suggests using the tangent ratio.

\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

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The radio station gave away a discount coupon for every twelfth and thirteenth caller. Every twentieth caller received free conc
Snezhnost [94]

Answer:

60th caller.

the 12th caller would hit a number divisible by 20 at 60.

12,24,35,48,60

7 0
3 years ago
The critical value t* gets larger as the confidence level increases. True or false?
posledela

Answer:

We can find the critical value t_{\alpha/2}

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

\alpha=1 -c

And with the degrees of freedom given by:

df=n-1

We can find the critical value t_{\alpha/2}

And for this case if the confidence increase the critical value increase so then this statement is True

5 0
2 years ago
Ice has a density of 0.92 g/cm3. What is the volume of 100 grams of ice? If the ice completely melted, what would the volume of
kicyunya [14]

Hello!

To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.

In this formula, d is the density, m is the mass and V is the volume.

1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.

0.92g/cm³ = 100g/V (multiply both sides by V)

0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)

V = 108.69 cm³.

The volume of 100 grams of ice is about 108.69 cm³.

2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.

1.00g/mL = 100g/V (multiply both sides by V)

1.00g/mL · V = 100g (divide both sides by 1.00g/mL)

V = 100 mL

Therefore, the volume of the melted ice is 100 mL.

<u>Final answers</u>:

  1. 108.69 g/cm³
  2. 100 mL
8 0
3 years ago
Rewrite using the distributive property then solve using gcf. 5(4+3)
Vitek1552 [10]

Answer:

Step-by-step explanation:

5×4+5×3

20+15

25

5 0
3 years ago
What’s the square root of 1700
leva [86]

Answer:

41.2310562562

Step-by-step explanation:

by use of calculator

8 0
3 years ago
Read 2 more answers
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