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Tcecarenko [31]
2 years ago
15

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?

Mathematics
1 answer:
sleet_krkn [62]2 years ago
3 0

Answer:

1135.38

Step-by-step explanation:

100%->1015

100-6=94

94%->954.1

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

100%->954.1

119%->1135.379

       ≈1135.38

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Paraphin [41]

Answer:

multiply each by -1

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-7 3/8 x -1 = 7 3/8

-3/11 x -1 = 3/11

Step-by-step explanation:

6 0
2 years ago
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
prohojiy [21]
<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°

3 0
2 years ago
Find the slope of each line.<br> А<br> B<br> с<br> A)<br> A<br> B)<br> C)
cluponka [151]

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Step-by-step explanation:

5 0
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Read 2 more answers
Find the surface area of a right cone with diameter 30 in. and slant height 8 in.Your answerEXTRA CREDIT: Find the surface area
Anon25 [30]

<u>Answer:</u>

Surface area = 1084 in²

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

To find the surface area of a right cone, we can use the following formula:

\boxed{{Area = \pi r^2 + \pi rl}},

where:

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• l = slant height.

In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.

Using this information and the formula above, we can calculate the surface area of the cone:

Surface area = \pi \times (15)^2 + \pi \times 15 \times 8

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Step-by-step explanation:

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