Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.
<u>Step-by-step explanation:</u>
Step 1:
Given details are Total Income = $23,400
Step 2:
Amount spent for food, F= 1/4th of 23,400 = 
= $5850
Step 3:
Amount spent for housing, H = 1/5th of 23,400 = 
= $4680
Step 4:
Amount spent for clothing, C = 1/10th of 23,400 = 
= $2340
Step 5:
Amount spent for savings, S = 1/9th of 13,400 = 
= $2600
Step 6:
Amount spent for taxes, T = 1/4th of 23,400 = =$5850
Step 7:
Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.
Annual Income = F + H + C + S + T + E
Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)
E = 23400 - 21320
E = $2080
Answer:
y= 40 degrees
x= 35 degrees
Step-by-step explanation:
2x=40
the angles are vertical
2x + 2x + 40 = 180 degrees then solve equation
4x + 40 = 180
-40 = -40 (subtract)
4x = 140
/4x = /4 (divide 4 on both sides
leaving you with X = 35
X= 35 degrees
Two or more triangles are said to be congruent if they have the same shape and size. When one of the values of a pair of congruent sides or angles is unknown and the other value is known or can be easily obtained
Can u give me brainiest please
Answer:
See answers below for explanations (answers are in bold)
Step-by-step explanation:
<u>Problem 1 (Top left):</u>
Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer
<u>Problem 2 (Top right):</u>
Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer
<u>Problem 3 (Bottom left):</u>
We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2. The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer
<u>Problem 4 (Bottom right):</u>
This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2
Answer:
17/80
Step-by-step explanation:
change 21 1/4 to a fraction
2125/10000 and simplfy
425/2000
85/400
17/80
