What is the volume of the shape below? Use 3.14 for 8in. 3 in

Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215

GenaCL600 [577]

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

$A= \frac{1}{2} (b1+b2)\times h$

Plugging values in formula.

215 = $\frac{1}{2}$ (21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

$\frac{215}{6.5}=\frac{6.5(21+b2)}{6.5}$

33.08 = 21+b2.

Subtracting 21 from both sides, we get

33.08-21 = 21-21+b2

b2 = 12.08.

<h3>Therefore, length of b2 is 12.08 units.</h3>

4 0

3 years ago

List multiples to find LMC of 27 and 45

PtichkaEL [24]

Answer:

135

Step-by-step explanation:

I think you mean the LCM instead of LMC. LCM stands for Least Common Multiple. Anyway, some of the multiples of 27 are 27, 54, 81, 108, and 135. Some multiples for 45 are 45, 90, 135. We can see here that 27 and 45 share the mutiple of 135 which is the first number they have in common.

6 0

2 years ago

(1st pic) What is the equation of the line shown in this graph?

vredina [299]

Answer:

For figure 1: The equation of a line is y=1

For figure 2: The equation of a line is y=(-4)x+1

For figure 3:The equation of a line is y= $\frac{-5}{2}x+5$

Step-by-step explanation:

The equation of line slope-intercept form is given by y=mx+c

Where m is the slope of the line and c is the y-intercept.

For figure 1:

Here, Line is parallel to x-axis

Hence, Slope m=0

Also, Line passing to y axis at (0,1)

Y-intercept is c=1

Therefore,

The equation of line is

y=0x+1

y=1

For figure 2:

Figure show a line passing through point (1,-3) and (-1,5)

The slope of the line is given by m= $\frac{Y2-Y1}{X2-X1}$

Using given points to find out the slope of a line

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{5-(-3)}{(-1)-1}$

m= $\frac{8}{-2}$

m=(-4)

Also, Line is intersecting y-axis at (0,1)

Hence, c=1

We can write the equation of line as

y=mx+c

y=(-4)x+1

Thus, The correct option is D). y=(-4)x+1

For figure 3:

From the figure, a line is passing through points (-2,0) and (0,5)

The slope of the line is given by m= $\frac{Y2-Y1}{X2-X1}$

Using given points to find out the slope of a line

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{5-0}{0-(-2)}$

m= $\frac{-5}{2}$

Also, Line is intersecting y-axis at (0,5)

Hence, c=5

We can write the equation of line as

y=mx+c

y= $\frac{-5}{2}x+5$

4 0

2 years ago

Help D: log3 x^6 =12 <br>find x

Zielflug [23.3K]

$\log_ab=c\iff a^c=b\qquad(*)\\\\\log_ab^c=c\cdot\log_ab\qquad(**)\\\\---------------------\\\\\log_3x^6=12\qquad\text{use}\ (**)\\\\6\log_3x=12\qquad\text{divide both sides by 6}\\\\\log_3x=2\qquad\text{Use}\ (*)\\\\3^2=x\to\boxed{x=9}$

8 0

3 years ago

I will mark you Brainliest just help me

Alika [10]

Answer:

The first one is proportional and the second one is not. Because for the first one you can see that if you divide the number of pens by the cost you'll get the same answer for every single one. But for the second one if you divide the number of minutes by words typed you get a different answer for each one. You can also see if it's proportional or not if you draw it on the graph and it's a straight line. If it is the relationship is proportional if it isn't it's not proportional. Hope that makes sense :)

7 0

2 years ago

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What is the volume of the shape below? Use 3.14 for 8in. 3 in​

What is the volume of the shape below? Use 3.14 for 8in. 3 in