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Mice21 [21]
3 years ago
5

The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its

complement.
Mathematics
1 answer:
tester [92]3 years ago
3 0
Let the angles be A and C 

<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>

<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>

<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>

<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
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7 0
3 years ago
An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
neonofarm [45]

Answer:

(a)h(t)=\frac{1.3t^2}{2} + 2t +17

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

\frac{dh}{dt} = 1.3t + 2

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $  C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm

The Shrubs are 62.85cm tall when they are sold.

4 0
3 years ago
Help I don't understand this one either I bed help show your work and answer
Firlakuza [10]
Well well we find the area of the triangle first:
area = 1/2 * base * height
area = 1/2 * 8 1/4 * 5 3/4
area = 1/2 * 33/4 * 23/4
area = 1/2 * 759/16
area = 759 / 32
area = 23 23/32

now if we multiply the length of the triangles we get volume because the volume of the prism is really just the sum of the areas of all the triangles that make up it's length. So:
volume = 23 23/32 * 12
volume = 276 276/32
276/ 32 = 8 5/8
volume = 284 5/8
6 0
3 years ago
A triangle has three angles of 36°, 34°, and 110°.<br> A. equilateral B. obtuse C. acute D. right
dem82 [27]
Obtuse because of the 110° angle
5 0
3 years ago
Read 2 more answers
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