Answer:
t = 17.5 f = 12
Step-by-step explanation:
If <em>MNOP </em>is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:
and
Then solve both equations:
and
I hope that helps!
Answer:
6.065; 7.358 ; 6.694
Step-by-step explanation:
Given that, profit is quoted using the function :
R = 2pe ^ -0.1p
(a)
When price 'p' = $5
R = 2(5)e^(-0.1*5)
R = 10e^(-0.5)
R = 10 * 0.6065306
R = 6.065
B)
When price 'p' = $10
R = 2(10)e^(-0.1*10)
R = 20e^(-1)
R = 20 * 0.3678794
R = 7.358
C.)
When price 'p' = $15
R = 2(15)e^(-0.1*15)
R = 30e^(-1.5)
R = 30 * 0.2231301
R = 6.694
1) -3x -3 -7x = 17
• start by grouping so add -3x and -7x which gives you -10x
• 10x -3 (+3) = 17 +3 = 20 add 3 on both sides)
• 10x (/10) = 20/ 10 = 2
1) x = 2
2) 10x -6 (+6) = 24 + 6 = 30
• 10x (/10) = 30/ 10 = 3
2) x = 3
3) -4 (+4) -5x = -39 +4 = -35
• -5x (/-5) = -35/ -5 = 7
3) x = 7
4) 3x - 5 > 10
this one i don’t understand, is there a typo maybe ?
5) -5x + x + 16 = -3 you can put a 1 to hold the place of x to make it 1x
• (-5x + 1x) + 16 = -3
• -4x + 16 (-16) = -3 -16 = -19
• -4x (/-4) = -19/ -4 = 4.75 or 4 3/4
5) x = 4.75
Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
Answer:
This is possible.
Step-by-step explanation:
We can say that m<E=m<E, because of the Reflexive Property
Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.
With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).
Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), 
.
With this ratio, we can cross multiply to get the desired result
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Hope this helps with your RSM problem
Yup, i caught ya.
