Answer:
31
Step-by-step explanation:
thye blow up 36 balloons in total but 5 pop 36-5=31
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)

Pick any two corresponding points from the table
So, we have:


So:




The linear equation is then calculated using:

This gives:

Open bracket


To get the length closest to 4.2lb,
we set 
Then solve for x
So, we have:


Collect like terms


Solve for x


Answer:
The perimeter of the polygon is 
Step-by-step explanation:
we know that
The perimeter is the sum of the length sides of the polygon
In this problem
P=XY+YZ+XZ
the formula to calculate the distance between two points is equal to
step 1
Find the distance XY
we have
X(−1, 3), Y(3, 0)
substitute
step 2
Find the distance YZ
we have
Y(3, 0), Z(−1,−2)
substitute
step 3
Find the distance XZ
we have
X(−1, 3), Z(−1,−2)
substitute
step 4
Find the perimeter
P=XY+YZ+XZ

So attached is a picture of the triangle you are talking about and listed under are the choices:
A.) Cos Z=b/c
B.) Sin X=c/b
C.) Tan X=b/a
<span>D.) Tan Z=a/b
</span>
The answer would then be
B. SinX = c/b.
Just remember SOH CAH TOA:
Sinθ= Opposite Cosθ = Adjacent Tanθ= Opposite
Hypotenuse Hypotenuse Adjacent
Using the triangle in the scenario, you just need to identify which side is which.
Given m∠ZAdjacent = b
Opposite = a
Hypotenuse = c
SinZ= a CosZ = b TanZ= a
c c b
Given m∠X:
Adjacent = b
Opposite = a
Hypotenuse = c
SinX= <u> b </u> CosX =<span><u> a </u></span> TanX=<span><u> b </u></span>
c c a
So the answer is B.
Attached is a picture of how I assigned the sides depending on the angle used.