Answer:
Dimensions of rectangle:
Length =6 yards
Width=3 1/3 yards
Area of right triangle = 10 yd^2
Step-by-step explanation:
The right triangle has base as 6 yards and height as 3 1/3 of yards.
When we match this triangle with another right triangle to make the rectangle is another right triangle with sides 6 yards and 3 1/3 yards.
I'll upload the file for work.
Answer:
Step-by-step explanation:
If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.
If she earned $550 in the first day, we can say the first term is $550
If she earned $750 on the third day, we can say the third term is $750
For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence
550, x , 750
T1 = 550
T2 = x
T3 = 750
Common difference d = T2-T1 = T3-T2
x - 550 = 750 - x = d
Let's calculate the second term first i.e x
Since x - 550 = 750 - x = d
x - 550 = 750 - x
Collect like terms
x+x = 750+550
2x = 1300
x = 1300/2
x = 650
d = T2-T1
d = x - T1
d = 650-550
d = 100
Hence her money keeps increasing by $100 each day
Answer:
132 square feet
Step-by-step explanation:
The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.
Given:
The expression is:

To find:
The value of the given expression when
.
Solution:
We have,

Substituting
in the above expression, we get




Therefore, the value of given expression at
is 59.
Answer:
-82/3
Step-by-step explanation:
first divide -8/9 by -2/3
-8/9 ➗ -2/3 =-8/9*3/-2 =4/3
multiply 4/3 by -41/2
4/3*-41/2 = -82/3