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alex41 [277]
2 years ago
13

Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in

teger
Mathematics
1 answer:
prohojiy [21]2 years ago
3 0
<h2>Answer:</h2>

55°

<h2> Step-by-step explanation:</h2>

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

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Justify your reasoning
love history [14]

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

<u><em>So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,</em></u>

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7 0
2 years ago
A football coach set a goal of keeping opposing teams to an average of less than 200 yard. of total offense each game. After thr
faust18 [17]
(701+y)/(3+1)<200

(701+y)/4<200

701+y<800

y<99

So the most yards they can allow in the next game is 98 yards
6 0
3 years ago
What are three ways a rectangle and a square are alike
k0ka [10]

-- Each has 4 sides.
-- Opposite sides of each are parallel.
-- Opposite sides of each have equal length.
-- Interior angles of each sum to 360 degrees.
-- Each is a special case of parallelogram.
-- Each has all interior angles equal.
-- Area of either one is (length) x (width).


3 0
3 years ago
Read 2 more answers
Please help im begging...
ahrayia [7]

The surface area of the triangular prism is calculated as: 153 cm²

<h3>How to Find the Surface Area of a Triangular Prism?</h3>

The net of a triangular consists of 2 identical triangular faces, and three different rectangular faces. Given the net of a triangular prism, to find the surface area, find the area of each given shape that makes up the net of the triangular prism.

Surface area of the triangular prism = 2(area of triangular base) + area of the 3 different rectangular faces.

Area of triangle = 1/2(b)(h)

Base (b) = 6 cm

Height (h) = 3 cm

Area of the 2 triangular faces = 2[1/2(6)(3)]

Area of the 2 triangular faces = 18 cm²

Area of the larger rectangular face:

Area = (length)(width) = (9)(6)

Area of larger rectangular face = 54 cm²

Area of the medium-sized rectangular face:

Area = (length)(width) = (9)(5)

Area of medium-sized rectangular face = 45 cm²

Area of the smaller rectangular face:

Area = (length)(width) = (9)(4)

Area of smaller rectangular face = 36 cm²

Surface area of the triangular prism = 18 + 54 + 45 + 36

Surface area of the triangular prism = 153 cm²

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

#SPJ1

7 0
1 year ago
2(3+ ‐ 4)(7‐3)÷(2‐ ‐2)​
steposvetlana [31]
The answer is 2 hopefully I answered your question in time
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3 years ago
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