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4 years ago

Simplify the square root of 147

Mathematics

1 answer:

Sergio [31]4 years ago

3 0

Answer:

7√3

Step-by-step explanation:

To simplify a square root, look for some of its factors. You are especially looking for factors that are square numbers, or sometimes factors that repeat (repeating factors give you a square number).

√147

=√3·49 Remember 49 is a square number, you can take out its square root.

=7√3 Simplified.

You might also end up with these factors instead.

√147

=√3·7·7 Two same factors mean a square number you can take out.

=7√3 Simplified form.

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Find x and y (y+23) (2x-17)

Viefleur [7K]

Answer:-2

Step-by-step explanation:

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3 years ago

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For every four female students in a training class, there are two men. There are seven male students. What is the total of numbe

prisoha [69]

There would be 14 female and 7 male, so the total number of students is 21.

6 0

3 years ago

2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point

USPshnik [31]

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

Here, FR and DA are corresponding sides.

$$\Rightarrow \frac{FR}{DA} =\frac{4}{6}$

Cancel the common factors of 4 and 6, we get

$$\Rightarrow \frac{FR}{DA} =\frac{2}{3}$

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

7 0

4 years ago

Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i

bixtya [17]

Answer:

length of the curve = 8

Step-by-step explanation:

Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

−π ≤ t ≤ π

Given data the arrow the direction in which the curve is traces means

the length of the curve of the given parametric equations.

The formula of length of the curve is

$\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx$

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1) with respective to 'x'

$\frac{dx}{dt} = 1+cost$

differentiating equation (2) with respective to 'y'

$\frac{dy}{dt} = -sint$

The length of curve is

$\int\limits^\pi_\pi {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt$

$\int\limits^\pi_\pi \, {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt$

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

$\int\limits^\pi_\pi \, {\sqrt{(2+2cost } } \, dt$

$\sqrt{2} \int\limits^\pi_\pi \, {\sqrt{(1+1cost } } \, dt$

again using formula, 1+cost = 2cos^2(t/2)

$\sqrt{2} \int\limits^\pi _\pi {\sqrt{2cos^2\frac{t}{2} } } \, dt$

Taking common $\sqrt{2}$ we get ,

$\sqrt{2}\sqrt{2} \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt$

$2(\int\limits^\pi _\pi {cos\frac{t}{2} } \, dt$

$2(\frac{sin(\frac{t}{2} }{\frac{t}{2} } )^{\pi } _{-\pi }$

length of curve = $4(sin(\frac{\pi }{2} )- sin(\frac{-\pi }{2} ))$

length of the curve is = 4(1+1) = 8

conclusion:-

The arrow of the direction or the length of curve = 8

7 0

3 years ago

Which object is the best conductor of electricity?

gulaghasi [49]

Answer:

D. Metal Nail

a good conductor is something metalic which can easily make electricity pass through it.

BRAINLIEST PLEASE

5 0

3 years ago