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3 years ago

Is 10(x-2)=5(2x-4) infinitely many or no solution

Mathematics

2 answers:

Andrei [34K]3 years ago

7 0

10x-20=10x-20, make your decision on the answer from this which they are all real numbers. Hope this will help you!

anzhelika [568]3 years ago

4 0

10(x-2)=5(2x-4)
10x - 20 = 10x - 20

Here, As L.H.S = R.H.S,

System of Equation has Infinitely many Solution

Hope this helps!

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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0

3 years ago

Asap, round to nearest tenth

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

6 0

2 years ago

A rectangular field measures 400m by 900m, what is the perimeter of the field:

Alina [70]

Answer:

a) 1790 b) 1.79

Step-by-step explanation:

a) you just add to get the perimiter 2(900) + 2(400) to get 1790

b) 1000 meters makes a kilometer so we divide by 1000 and get 1.79 for the kilometers

6 0

3 years ago

Read 2 more answers

What is the image point of (-12, -8) after the transformation R270° 0 D. ?

Gennadij [26K]

Given:

The point is (-12,-8).

Rule of transformation is $R_{270^\circ}\circ D_{\dfrac{1}{4}}$ .

To find:

The coordinates of image after transformation.

Solution:

According to the rule of transformation $R_{270^\circ}\circ D_{\dfrac{1}{4}}$ , first the point is dilated by factor $\dfrac{1}{4}$ with origin as center of dilation after that it was rotated 270 degrees anticlockwise.

If a point is dilated by factor $\dfrac{1}{4}$ with origin as center of dilation, then

$(x,y)\to \left(\dfrac{1}{4}x,\dfrac{1}{4}y\right)$

$(-12,-8)\to \left(\dfrac{1}{4}(-12),\dfrac{1}{4}(-8)\right)$

$(-12,-8)\to \left(-3,-2\right)$

If a point is rotated 270 degrees anticlockwise, then

$(x,y)\to (y,-x)$

$(-3,-2)\to ((-2),-(-3))$

$(-3,-2)\to (-2,3)$

Therefore, the coordinates of image after transformation are (-2,3).

3 0

3 years ago

Read 2 more answers

Work out:<br>6(10 - 23) + 20

barxatty [35]

Answer:

-58

Step-by-step explanation:

6 (10 - 23) + 20

=6 x (10 - 23) + 20

= 6 x (- 13) + 20

= -78 + 20

= -58

7 0

3 years ago