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yarga [219]
3 years ago
5

Convert 45° from degrees to radians.

Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0

Answer:

\displaystyle \frac{π}{4}

Step-by-step explanation:

\displaystyle [45°][\frac{π}{180°}] = \frac{45}{180}π = \frac{π}{4}

<em>Degrees to Radians</em>

\displaystyle \frac{π}{180°}

<em>Radians to Degrees</em>

\displaystyle \frac{180°}{π}

I am joyous to assist you anytime.

leonid [27]3 years ago
6 0
<h2>pi divided by four</h2>

Step-by-step explanation:

Let the angle in degrees be a

Let the angle in radians be r

If a is the angle in degrees and r is the angle in radians,

a\times \frac{\pi }{180}=r

It is given that the a=45

r=\frac{\pi}{180}\times a= \frac{\pi}{180}\times 45=\frac{\pi}{4}

So,r=\frac{\pi}{4}

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Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet
photoshop1234 [79]

Answer:

the span of the bridge is 73.7 feet

Step-by-step explanation:

The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:

\frac{(x-h)^{2} }{b^{2} } + \frac{(y-k)^{2} }{a^{2} }= 1 a>b

where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis

For this problem, the center of the ellipse (h,k) = (0,0)

Therefore:

\frac{(x)^{2} }{b^{2} } + \frac{(y)^{2} }{a^{2} }= 1

The top of the arch is 20 feet above the ground level (the major axis), therefore a=20

length of the major axis = 2a= 2*20 = 40

\frac{x^{2} }{b^{2} } + \frac{y^{2} }{20^{2} }= 1\\\frac{x^{2} }{b^{2} } + \frac{y^{2} }{400 }= 1

The coordinates of the ellipse (x,y) = (28,13)

\frac{28^{2} }{b^{2} } + \frac{13^{2} }{400 }= 1

\frac{28^{2} }{b^{2} } + 0.4225= 1

\frac{784 }{b^{2} } = 0.5775

b² ≅ 1358

b≅36.85

Length of minor axis (2b) = 73.7 feet.

the span of the bridge is 73.7 feet

7 0
3 years ago
If a distribution has a mean of 25 and a standard deviation of 2, what value would be −4 standard deviations from the mean?
Harlamova29_29 [7]
25 +(-4)*2 = 17

A value of 17 is -4 standard deviations from the mean.
7 0
3 years ago
Eliminate the parameter. <br> x = t2 + 3, y = t2 - 2
abruzzese [7]

Answer: y = x - 5

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

"Eliminate the parameter" means we want to eliminate the <em>extra </em>variable and rewrite it ias one equation that only contains x, y, <em>and possibly a constant.</em>

<em />

The extra variable in the equations is "t".  Manipulate one of the equations to solve for t². Then substitute t² = _____ it into the other equation.

x = t² + 3         →          x - 3 = t²

y = t² - 2

y = (x - 3) - 2

y = x - 5

8 0
3 years ago
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling wa
Delicious77 [7]

Answer:

The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .

In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:

( × 9) ÷  

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To learn more about ratios, please check: brainly.com/question/17995727

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
the perimeter of a rectangle is 58cm. the length is 7cm less than three times the width. find the length and width. (translate t
Pie

Answer:

length = 20 cm

width = 9 cm

Step-by-step explanation:

perimeter =  58 cm

58cm = 2*L+2*w equation 1

L = 3w -7 equation 2

where:

L= length

w=width

so we have:

58 = 2(3w -7) +2w

58 = 6w -14 +2w

58 +14 = 8w

72 = 8w

w = 72/8

w = 9 cm = width

we have:

L = 3(9) -7 = 20 cm = length

4 0
3 years ago
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