Answer:
4th
Step-by-step explanation:
(-1,3)
here is the answer
<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
Answer:
14400 cubic inches.
Step-by-step explanation:
Let l, b and h are length, breadth and height of a cuboid respectively, then
If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.
...(i)
It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.
Substitute k=2 and V=1800 in equation (i).
Therefore, the volume of required sink is 14400 cubic inches.
Answer:
1) Compares data that are in categories
2) Organises data into 4 groups of equal sizes and is often used to compare two sets of data.
3) Used to see trends in data.
4) Shows changes over time.
5) Shows the frequency of data using equal intervals with no space between the bars.
Step-by-step explanation:
1) Bar graph is used to compare data that are in categories
2) Box and whisker plot is used to organise data into 4 groups of equal size.
3) Line graph is basically used to see different trends.
4) Scatter plot is used to show changes that have occurred over time
5) Histogram is used to show the frequency of data using equal intervals with no space between the bars.
we know that
m∠SQR+x=
-------> by supplementary angles
so
m∠SQR=
The sum of the internal angles of a triangle is equal to degrees
m∠SQR+m∠QSR+m∠SRQ=
substitute the values in the formula
m∠SQR+
+
=
m∠SQR=
degrees
<u>Find the value of x</u>
m∠SQR=
x=-m∠SQR
x=
x=
degrees
therefore
<u>the answer is</u>
the value of x is degrees
