Answer:
7881.75
Step-by-step explanation:
10,170x0.775
Answer:
14
Step-by-step explanation:
To find TV you must add the length of TU (6) by the length of UV (4x) to find x to find the length of TV(7x).
6<u>+4x</u>=7x
Do inverse operations to solve for x.
6=<u>3x</u>
x=2
Now that we know x is 2, we must substitute 2 in for the x in the equation for TV (7x).
7 × 2 = 14
TU = 14
Answer:
<h2>A = 210 cm²</h2>
Step-by-step explanation:
Area of a parallelogram = base × height
From the question
The base is = 30 cm
Let h represent the height of the parallelogram
We must first use Pythagoras theorem to find the height of the parallelogram before finding it's area
We have
We have the answer as
h = 7 cm
So from the question
height = 7cm
Let's substitute the base and the height into the above formula and solve for the area
We have
Area = 30 × 7
We have the final answer as
<h3>A = 210 cm²</h3>
Hope this helps you
Answer: 35 adult tickets and 15 student tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
20 more adult tickets were sold and student tickets. It means that
x = y + 20
Adult tickets for the school play cost 6 dollars and student tickets cost 4 dollars. If $270 was collected, it means that
6x + 4y = 270- - - - - - - - - - - 1
Substituting x = y + 20 into equation 1, it becomes
6(y + 20) + 4y = 270
6y + 120 + 4y = 270
6y + 4y = 270 - 120
10y = 150
y = 150/10
y = 15
x = y + 20 = 15 + 20
x = 35
Answer:
The center of the circle is
<h2>( - 4 , 2)</h2>
Step-by-step explanation:
Equation of a circle is given by
<h3>(x - h)² + ( y - k)² = r²</h3>
where r is the radius
(h, k) is the center of the circle
The center of a circle is given by
( - h , - k)
From the question equation of the circle is
( x + 4)² + ( y - 2)² = 16
Comparing with the general equation above
( h , k) = ( 4 , - 2)
The center of the circle is
( - h , - k) = ( - 4 , -(-2))
We have the final answer as
<h3>( - 4 , 2)</h3>
Hope this helps you
