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3 years ago

25/24 as a decimal rounded to the nearest hundredth

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

8 0

1.04 would be your answer, 104% or 104/100 - 1 1/25 (Hope this helps!)

Aloiza [94]3 years ago

5 0

1.04 is the decimal rounded to the nearest hundredth

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Find the length of X in simplest radical form with a rational denominator

Darya [45]

Answer:

$x = \sqrt 6$

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Considering angle 30 degrees,

$Opposite = \sqrt{2$

$Adjacent = x$

Using the tangent formula:

$tan\ 30 = \frac{\sqrt 2}{x}$

Make x the subject

$x = \frac{\sqrt 2}{tan\ 30}$

$x = \frac{\sqrt 2}{1/\sqrt 3}$

$x = \sqrt 2 * \sqrt 3$

$x = \sqrt 6$

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3 years ago

Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr

Andreyy89

Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

$L=L_1+L_2$

$L_1=\sqrt{80^2+x^2}$

$L_2=\sqrt{60^2+(100-x)^2}$

$L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}$

differentiate w.r.t x we get

$\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

Put $\frac{\mathrm{d} L}{\mathrm{d} x}=0$ to get minimum value

$\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

squaring

$x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)$

Rearranging

$28x^2-1800x+640000=0$

$x=\frac{400}{7}$

thus $L_1=98.312 ft$

$L_2=73.73 ft$

$L=172.04 ft$

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3 years ago

Find the unit rate. $5.40 for 24 cans $ a _______ 1 can

swat32

Answer:

Its $0.27 per unit. :)

5 0

3 years ago

Read 2 more answers

Can pls someone help me I need help

LiRa [457]

Answer:

180-degree angle

This is not a 90-degree angle because if it were to be, then it would be AB, which is not what we are going for, which leaves BC as 180 degrees (if you see it on a protractor)

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3 years ago

11. An old machine requires three times as many hours to complete a job as

valentinak56 [21]

Answer:

Step-by-step explanation:

$9(r_n+r_o)=1\\ \\ r_n+r_o=\frac{1}{9}\\ \\ r_o=\frac{r_n}{3}\\ \\ r_n+\frac{r_n}{3}=\frac{1}{9}\\ \\ \frac{4r}{3}=\frac{1}{9}\\ \\ 4r=\frac{1}{3}\\ \\ r=\frac{1}{12}\\ \\ \text{So working alone it would take the new machine 12 hours to finish the job.}$

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3 years ago