Answer:
12
Step-by-step explanation:
A rhombus is a parallelogram with all four sides equal.
Its diagonals are perpendicular.
Each of the triangles formed by the diagonals and the sides are congruent, so the area of the rhombus is 4 times the area of one of the triangles.
Since the short diagonal is given as 4, each of the triangles can be viewed as having a base of 2. Each triangle's height, h, then is one half the length of the long diagonal.
The are of one of the triangles is 1/2 (base)(height)=(1/2)(2)h
The area of the rhombus is then
4(1/2)(2)h=24
Solving for h gives
h=6
This makes the length of the long diagonal 2h=12
Hi there!
What is the question and then i can help!
Answer:
There were a total of 72 Easter eggs.
Step-by-step explanation:
Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:
Ally: 0.25X
Brett: 0.125X
Read: 0.125X + 6
Jen: 0.0625X + 3
Smooth: 0.1875X + 9
X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25
0.25X = 6 + 3 + 9
0.25X = 18
Ally: 18
Brett: 9
Read: 15
Jen: 7.5
Smooth: 22.5
18 + 9 + 15 + 7.5 + 22.5 = X
72 = X
Thus, there were a total of 72 Easter eggs.
Answer:
4
Step-by-step explanation:
2x+3(x-4)=8
2x+3x-12=8
5x-12=8
5x-12+12=8+12
5x=20
5x/5=20/5
x=4
Answer:
5
Step-by-step explanation:
Subtract 1 from both sides. The equation becomes 2.5d + 6.25 = 3.75d
Subtract 2.5d from both sides. The equation becomes 6.25 = 1.25d
Divide 1.25 from both sides. You get 5 = d
