Answer:
true
Step-by-step explanation:
Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
Step-by-step explanation:
The funtion is:
C(p)= 3(p)+1.07 (1)
where: 3 is the package cost, p is the number of packages and 1.07 is the taxes
the cost could be equal or less than the gift card value so:
C
(2)
Replace 2 en 1
x 1.07
3(p)
![3p [tex]\leq](https://tex.z-dn.net/?f=3p%20%5Btex%5D%5Cleq)
14.02\\\\p\leq \frac{14.02}{3} \\\\p\leq 4.67[/tex]
It´s important to aprox the quantity to the minimum value so I can buy 4 packages
The reasonable domain is for all R because any number is a possible value of the independent variable
Answer:
c) 120 ft
Step-by-step explanation:
Let's consider the rhombus has 4 sides, A, B, C, and D.
To find the length of each side, let's first find the length AE.
From the diagram, AE is half of AC and AC = 30 ft.
Therefore,
AE = ½ * 30
AE = 15 ft
Let's find the length AD, since we are looking for the distance around the perimeter.
We are told the rhombus is formed by four identical triangles.
Therefore the distance around the perimeter would be: AD+AD+AD+AD=
30 ft + 30 ft + 30 ft + 30 ft
= 120 ft
The distance around the perimeter of the garden is 120 ft
There is no equals sign. Are we looking for x, or y?
Either way, with the -5 exponent outside the parentheses, you can multiply that to each exponent in the fraction to get rid of it.
I'm not sure what you mean by 2x^12y^3. Is it an exponent within another exponent?
