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2 years ago

Lana's toy boat can sail 7 1/2 yards in 4 1/6 minutes. How far would it sail in 8 3/4 minutes if kept the same pace?

Mathematics

1 answer:

Inessa [10]2 years ago

8 0

Answer:

63/4

Step-by-step explanation:

Let the sails yard in 8 3/4 minutes= X

7 1/2 yards sails= 4 1/6 minutes

X = 8 3/4 minutes

Let us Convert the fraction to improper fraction

4 1/6 minutes= 25/6 minutes

8 3/4 minutes= 35/4 minutes

7 1/2 yards sails= 15/2 sails yard

Then

15/2 yards sails= 25/6 minutes

X = 35/4 minutes

If we cross multiply

25/6 X = 15/2 × 35/4

25/6 X =525/8

6 × 525= (25× 8)X

3150= 200X

X= 3150/200

X=63/4

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A student's course grade is based on one midterm that counts as 5% of his final grade, one class project that counts as 10% of h

LiRa [457]

Answer:

<u>The student's final score is 77.2 and he earned a C letter grade</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the math problem correctly:

Midterm = 5% of the final grade and score of 60

Class project = 10% of the final grade and score of 92

Set of homework = 35% of the final grade and score of 80

Final exam = 50% of the final grade and score of 74

2. What is the student's final score?

Final score = (60 * 0.05) + (92 * 0.1) + (80 * 0.35) + (74 * 0.5)

Final score = 3 + 9.2 + 28 + 37

Final score = 77.2 and letter grade of C

6 0

2 years ago

HELP ASAP PLEASE:<br> What is m∠K?

Molodets [167]

Answer:

55 degrees

Step-by-step explanation:

180-122=58

58+67=125

180-125=55

6 0

2 years ago

Read 2 more answers

!!!! PLEASE HELP !!!!!!

Keith_Richards [23]

Answer:

i got -8 but the closest is -7 so u can tried that

Step-by-step explanation:

5 0

2 years ago

Find x pls help me this is due soon

seraphim [82]

Answer:

x=35

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8 0

2 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0

2 years ago