Are the triangles congruent? a-yes b-no c-not enough information

a room contains 156.1m of air . if the room is 8.31m long and 5.72m wide . use tabe to calculate it height

irga5000 [103]

Answer:

height=3.28m

Step-by-step explanation:

air means volume of room

let the height of room be x.

so, volume of room= 156.1 m³

8.31*5.72*x=156.1m³

x =3.28m

8 0

2 years ago

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th

KatRina [158]

Answer:

( $\frac{3}{5}$ b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - $\frac{5}{3}$ and b = b , thus

y= - $\frac{5}{3}$ x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- $\frac{5}{3}$ x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = $\frac{3}{5}$ b , thus

x- intercept = ( $\frac{3}{5}$ b, 0 )

6 0

2 years ago

The equation of line AB is y= 5x+1 . Write an equation of a line parallel to line AB in slope intercept form that contains point

Nadusha1986 [10]

Slope intercept form is: y=mx+b

For the other line to be parallel they must have the same slope so:

y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"

5=5(4)+b

5=20+b

b=-15 so the line is:

y=5x-15

5 0

3 years ago

Use law of sines or law of cosines to find the length of side AB Please show work !!

scoray [572]

Answer:

$AB = 11.3$

Step-by-step explanation:

Given

The attached triangle

Required

Length AB

To do this, we make use of sine law which is represented as:

$\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}$

So, we have:

$\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}$

Make AB the subject

$AB = \frac{15}{\sin(70)} * \sin(45)$

$AB = \frac{15}{0.9397} *0.7071$

$AB = 11.3$

7 0

2 years ago

Find the area of the shaded sector of a circle. Leave ur answer in terms of pi

laila [671]

The area of the shaded sector of a circle is 64 pie cm^2

Here we are given that there is a circle: whose radius is $16$ cm and the angle formed by two radius that is angle of the sector is $90$ .