Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
<u>i) What is the measure of Angle BOA </u>
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
<u>ii) what is the length of arc BAC</u>
= radius * angle BAC * 
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 * 
≈ 14.7 cm
Answer:
The total number of elements in the sample space if the experiment has 3 stages is 64 ....
Step-by-step explanation:
The answer is C.
According to the given statement the number of equally likely sample outcomes of a single stage of an experiment is 4
To find the total number of elements in the sample space if the experiment has 3 stages, we just simply multiply 4 three times.
4³ = 4*4*4
= 64
Therefore the total number of elements in the sample space if the experiment has 3 stages is 64 ....
Answer:
$209
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
Let
x ----> the volume of mulch in cubic yards
y ----> the total cost in dollars
we have that
The slope of the linear equation is

----> flat fee to deliver mulch
The linear equation is

For x=6 yd^3
substitute in the equation and solve for y


Answer:
It will take Ellie 64 minutes to put as many boxes as possible.
Step-by-step explanation:
Let us work with meters.
The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:
<em>
</em>
Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume
is:

So the amount of boxes that Ellie can put in the van is equal to the volume of the van
divided by the volume
of each box:

So 192 boxes can be put into the van.
Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

So it takes Ellie 64 minutes to put as many boxes into the van as she can.
Answer:
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,
<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.
</em>
<em>What is the volume of the pyramid?</em>
My answer:
As we know, The volume of a pyramid =
base area × its height
Given:
- Side lenght of the base is;

=> The area of the base is
- In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°
We use:
<=> BC = 
= 4 cm
And BC is the height of the the pyramid
=> The volume of a pyramid =
* 4 cm
=