Answer:
The function moves 7 to the left and 5 units up
Step-by-step explanation:
y = (x + 7) + 5
I think that's the problem you put.
Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
Answer:
The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Step-by-step explanation:
Normal variables
Normal variables have mean
and standard deviation 
When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.
In this question:
Verbal:
.
Math: 
Combined:


The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Answer:
12 weeks.
Step-by-step explanation:
Amanda starts with $2000 and is getting $150 per week which means that we can make the expression:

The expression is equal to 200 because is the limit where we can arrive to avoid the fee, then the n is the number of weeks that we are looking for:

n=12 weeks
Answer:
The answer is 30ft.
Step-by-step explanation:
To find the surface area of a rectangle, we use the formula L(2) + W(2) + H(2)
Our length is 7ft
Our Width 2ft
Our height is 6ft
Let's plug our numbers into our equation:
7(2) + 2(2) +6(2)
= 14 + 4 + 12
=30 ft.