Answer:
42 square centimeters
Step-by-step explanation:
The total of sides FA and AB will be half the perimeter of the rectangle, or 14 cm. Since AB is 9 cm, that means FA is 5 cm.
EF is the difference between EF and FA, so is 11 cm -5 cm = 6 cm.
FC is the same 9 cm length as AB, so we have enough information about the trapezoid to use the area formula:
A = (1/2)(b1 +b2)h
A = (1/2)(9 cm +5 cm)(6 cm) = 42 cm^2
The area of the trapezium is 42 cm^2.
7.342*10^-3
is the scientific notation for 0.007342
Answer:
CDJ= 34
Step-by-step explanation:
We know that ADJ = 90 degrees
ADK = 180 degrees and JDK equals 90 degrees so ADJ must equal 90 degrees
ADJ = ADC+CDJ
ADJ =4x+ 3x-8
Since ADJ = 90 degrees
90 = 4x+3x-8
Combine like terms
90 = 7x-8
Add 8 to each side
90+8 = 7x-8+8
98 = 7x
Divide each side by 7
98/7 = 7x/7
14 =x
We want to know CDJ
CDJ = 3x-8
CDJ = 3(14) -8
CDJ = 42-8
CDJ= 34
Answer:
1) Jina is not a member of the Music Club.
2) Three students are a member of the Music Club but not the Math Club.
3 Mary and Dan are in all three clubs.
Step-by-step explanation:
Look at the diagram and notice how each club has its own circle. If a student is in that circle, then they are a member of that club. When circles overlap, that overlap space means that a student is a member of two or all three clubs, depending on how many and which circles overlap.
1) Looking at Jina's location on the diagram, she is in the overlap between the math and chess club circles. However, her position does NOT overlap with the Music Club circle, therefore she is not a member of the Music Club.
2) Let's look at the students of the Music Club circle and its overlaps with the Chess Club circle, but NOT the overlaps with the Math Club circle. We can see that Lucy, Josh, and Juan are in these locations, therefore there are three students who are members of the Music Club but not the Math Club.
3) To find which students are in all three clubs, you would look at the middle of the diagram where all three circles overlap. The students listed in this location are Mary and Dan, therefore they are in all three clubs.
