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3 years ago

Square root of 21 and square root of 62. must be given into 1 decimal place

Mathematics

1 answer:

blsea [12.9K]3 years ago

8 0

Answer:

square root of 21 is 4.6

square root of 62 is 7.9

Step-by-step explanation:

square root of 21 is 4.6

square root of 62 is 7.9

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Riya is applying to her garden.She applies it at a rate of 25 ,000 cm^3 of mulch for every m^2 of garden space. At what rate is

LekaFEV [45]

The rate in m³/m² is 40m³/m².

1 m³ is literally a cube with sides that are 1 m in length. 1 m = 100 cm, so each side of this cube is 100cm in length. Finding the volume means multiplying length by width by height:
100(100)(100)=1,000,000 cm³ in 1m³.

We know that we have 25,000cm³ of mulch; we divide to find how many cubic meters this is:
1,000,000/25,000 = 40 m³.

This makes the rate 40m³/m².

8 0

3 years ago

Read 2 more answers

x2 – 144 = 0 (what formula did you use besides calculator or quadratic formula ) show work on how you solved plz :D (put down 26

SVEN [57.7K]

2X - 144 = 0
+ 144. + 144
2X = 144
/2. /2.
X = 72

3 0

3 years ago

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Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

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2 years ago

If Miguel types 40 words per minute and he types for 30 minutes how many words will he have typed total? *

krok68 [10]

Answer:

1200 words

Step-by-step explanation:

If he types 40 words a minute, you have to multiply that by thirty because he typed 40 words 30 timers. 40 x 30=1200

8 0

3 years ago

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He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was

Allushta [10]

Answer:

$115 = 15 x + 40$

the charge is $5 dollars per mile

Step-by-step explanation:

He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was 115

LEt x be the charge in dollars per hour

Initial charge is 40 and 15 miles travelled in one day

total charge = 15x + 40

Given : total charge is 115

So the equation becomes

$115 = 15 x + 40$

Now we solve for x

Subtract 40 from both sides

$75= 15 x$

Divide both sides by 15

x= 5

so , the charge is $5 dollars per mile

7 0

3 years ago

Read 2 more answers