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3 years ago

Which two whole numbers are the square root of -17 between

Mathematics

1 answer:

babunello [35]3 years ago

5 0

The two consecutive whole numbers that lies between the square root of 17 is 4 and 5

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What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1

Ratling [72]

Answer:

$\sqrt3$

Step-by-step explanation:

To find:

The value of $tan60^\circ$ = ?

Solution:

Kindly consider the equilateral $\triangle ABC$ as attached in the answer area.

Let the side of triangle = $a$ units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = $\frac{a}{2}$

Using Pythagorean Theorem in $\triangle ABD$ :

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

Side AD = $\frac{\sqrt3}{2}a$

Using Trigonometric ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanB = \dfrac{AD}{BD}$

Putting the values of AD and BD:

$tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}$

5 0

2 years ago

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The perimeter of a rectangular garden is 352m. If the width of the garden is 83m, what is its side length?

Kipish [7]

Answer:

L=93

Step-by-step explanation:

Perimeter of a rectangle is 2(L+W)

So 2(L+83)=352

L+83=176

L=93

6 0

3 years ago

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7(y + 2) – (4y – 10) = 44 – 2y + 5<br> y = -10

andrey2020 [161]

Answer:

y=-8

Step-by-step explanation:

7(y + 2) – (4y – 10)

=7y+14-4y+10

=3y+24

3y=-24

y=-8

3 0

3 years ago

Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H

ikadub [295]

Answer:

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = $\frac{1}{2}$ yard

Length of ribbon the rest of ribbon is to be divided = $\frac{1}{4}$ yard

To find:

The number of ribbons of length $\frac{1}{4}$ yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = $1-\frac{1}{2} =\frac{1}{2}$ yard

Now, number of ribbon of length $\frac{1}{4}$ yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

$\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2$

3 0

3 years ago

Charlotte makes crepes using 5/8 cup of milk for every 1/2 cup of flour. She wants to know the amount of milk uses per cup of fl

const2013 [10]

Answer:1 1/4

Step-by-step explanation:

3 0

3 years ago

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