All categories

2 years ago

Find the missing measurement round your answer to the nearest tenth

Mathematics

1 answer:

yarga [219]2 years ago

4 0

Answer:

Step-by-step explanation:

Let, the unknown side be x.

1/2 × 6.6m × xm = 16.5m²

or, x= 33/6.6

x= 5

You might be interested in

Big drop is twice as long as little drop how long is little drop?

Dmitrij [34]

Twice as long as little drop...

6 0

3 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

2 years ago

Given that f(x)=x^2-7x-1, g(x)=2x-3, and h(x)=4x-5 find each function. (f+g)(x)

Alexxandr [17]

Answer:

x^2-7x-1+2x-3

x^2-5x-4

5 0

2 years ago

I need to find what A and B are

laiz [17]

Answer:

a = 6, b = 3

Step-by-step explanation:

5a - 4 = 2a + 14

3a = 18

a = 6

6 = 2b

b = 3

6 0

3 years ago

Which ratio is not equivalent to 15 : 18?

Effectus [21]

The ratio 90: 105 is not equivalent to 15: 18

8 0

3 years ago

Find the missing measurement round your answer to the nearest tenth​

Find the missing measurement round your answer to the nearest tenth