Which of the following graphs could describe the system of equations?
1 answer:
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Answer:
7) 28.8 in
8) 80.6 mm
9) 68.3 cm
(All answers to the nearest tenth)
Step-by-step explanation:
7) The traingle is a right-angled triangle since the 4 angles of a rectangle are right angles.
Applying Pythagoras' Theorem,
x²= 16² +24²
x²= 832
x= √832
x= 28.8 in (nearest tenth)
8) Applying Pythagoras' Theorem,
x² +40²= 90²
x²= 8100 -1600
x²= 6500
x= 80.6 mm (nearest tenth)
9) See the attached picture for better understanding.
1st picture shows the simplified diagram of the question, indicating where line x lies in the rectangular prism.
Now, if we cut the prism into half diagonally so that we obtain 2 equal triangular prism, we would obtain 2 prisms that look like the one drawn in picture 2.
Now zoom in to the blue face of the prism, we would get a triangle as shown in picture 3.
Let's find the value of y.
Applying Pythagoras' Theorem,
y²= 40² +54²
y²= 4516
y= √4516
Look at picture 2 again at focus at the pink shaded triangle. It has been re-drawn in picture 4.
Now we know that y= √4516.
Applying Pythagoras' Theorem,
x²= (√4515)² +12²
x²= 4660
x= √4660
x= 68.3 cm (nearest tenth)
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
That's standard form; let's plug in the numbers:
Answer:
There are 42 different types of shirt available for this company.
Step-by-step explanation:
Given:
Number of design Company has = 3
Number of color pattern available = 7
Types of shirt (short or long sleeves) = 2
We need to find the number of different types of shirts are available from this company.
Solution:
the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).
framing in equation form we get;
the number of different types of shirts
Hence There are 42 different types of shirt available for this company.