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lana66690 [7]
2 years ago
6

A 40 foot long wire stretches from the top of a vertical pole to a stake in the ground 18 feet from the foot of the pole. find,

to the nearest degree, the measure of the acute angle that the wire makes with the ground.
Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

The measure of the acute angle that the wire makes with the ground is 63.27°.

The situation forms a right angle triangle.

<h3>How to find the angle of a right triangle?</h3>

The length of the wire is the hypotenuse of the right triangle.

The distance from the foot of the pole is the adjacent side of the right triangle.

Therefore,

cos ∅ = adjacent / hypotenuse

cos ∅ = 18 / 40

cos ∅ = 0.45

∅ = cos⁻¹ 0.45

∅ = 63.2563160496

∅ = 63.27°

learn more on right angle triangle here: brainly.com/question/14866099

#SPJ1

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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
Orlov [11]
<h3><u>given</u><u>:</u></h3>

base= 25 mm

height= 28 mm

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the square pyramid.

<h3><u>solution</u><u>:</u></h3>

<u>volume =  {a}^{2}  \frac{h}{3}</u>

<u>v =  {25}^{2}  \frac{28}{3}</u>

<u>v = 5833.33333 {mm}^{3}</u>

<u>v = 5833.3 {mm}^{3}</u>

8 0
2 years ago
Pls help Alissa’s budget is shown in the circle graph below her total monthly budget is $1,500. How much dose Alissa spend on re
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<em>The answer is</em><em> $300</em><em>......</em>

6 0
3 years ago
Solve for n.<br><br> 39 = n − –12<br><br> n =
Cloud [144]

Answer:

Two negative make a positive so this equation is basically 39 = n + 12 so you need to subtract 12 from each side. This makes it n = 27

Hope this helps!

6 0
3 years ago
The university needs to transport 421 fans from the stadium parking lot to the football game. If a van holds 10 people, how many
Tasya [4]
421/10= 42.1 vans since you can’t bring a 0.1 van you’ll have to bring a whole extra van so 43 vans

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7 0
3 years ago
On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
9966 [12]

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

Distance \, formula = \sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}}

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

\sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}} = Distance

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

4 0
3 years ago
Read 2 more answers
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