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Ulleksa [173]
3 years ago
8

How would you rewrite the following expression: 3 1/2 divided by 4/5?

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

3 and 1/2 times 5/4 or 7/2x5/4 do that and you get 35/8 simplify to get 4 and 3/8

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How many hours would it take to get from Miami FL to New Hampshire?
bonufazy [111]
It would most likely take 3-4 hours, maybe even 5.
8 0
2 years ago
the graph of the equation below is a circle. what is the length of the radius of the cirlce? (x+5)2+(y+7)2=21^2
zloy xaker [14]

the radii would equal 7.5

8 0
3 years ago
Verify the following trig identities​.
bagirrra123 [75]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + cot² x = csc²x and csc x = \frac{1}{sinx}

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

sin²Θ( 1 + cot²Θ )

= sin²Θ × csc²Θ

= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified

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

Consider the left side

cos²Θ - sin²Θ

= cos²Θ - (1 - cos²Θ)

= cos²Θ - 1 + cos²Θ

= 2cos²Θ - 1 = right side ⇒ verified

3 0
3 years ago
Vector u has a magnitude of 5sq rt 3 feet and is directed due west. Vector v has a magnitude
Vikki [24]

The magnitude and the direction angle for  the resultant vector are 10N and 120degrees respectively

The formula for calculating the resultant vector is expressed as:

R^2 = u^2 + v^2\\R =\sqrt{u^2+v^2}

Given the following distances:

u = -5√3 feet (west direction)

v = 5 feet

Substitute the given values into the formula above;

R=\sqrt{(5\sqrt{3} )^2+5^2} \\R=\sqrt{(25 \times 3)+25}\\R=\sqrt{75 + 25}\\R=\sqrt{100}\\R = 10 feet

The magnitude of the resultant vector is 10feet

Get the direction:

\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}\frac{5}{-5\sqrt{3} }\\\theta =tan^{-1}\frac{-1}{\sqrt{3} }\\\theta = -60^0

Since tan is negative in the second quadrant, hence;

\theta = 180 - 60\\\theta = 120^0

Hence the magnitude and the direction angle for  the resultant vector are 10N and 120degrees respectively.

Learn more here: brainly.com/question/5177683

7 0
2 years ago
the part of a dish designed for ice cream is shaped like an upside-down cone. The base of the cone has a radius of 2 inches and
Lena [83]

Answer: 5.02\ in^3

Step-by-step explanation:

For this exercise you need to use the following formula to solve this exercise, which is used to calculate the voume of a cone:

V=\frac{1}{3}\pi  r^2 h

Where "r" is the radius and "h" is the height of the cone.

In this case, based on the information given the exercise, you can identify that:

r=2\ in\\\\h=1.2\ in

Knowing those values, you can substitute them into the formula:

V=\frac{1}{3}\pi  (2\ in)^2 (1.2\ in)

Finally, evaluating, you get the following result:

V=5.02\ in^3

Therefore, 5.02\ in^3 will fit in the cone.

3 0
3 years ago
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