Answer:
- Area of section is 981 square feet
Step-by-step explanation:
<h3>Given trapezoid with:</h3>
- Bases 57 feet and 52 feet;
- Height 18 feet.
<h3>To find</h3>
<h3>Solution</h3>
Equation of area:
Substitute values and calculate:
- A = (57 + 52)*18/2 = 109*9 = 981 ft²
Math assignment = 3/8 hours
History assignment = 1/4 hours
We can not compare this as both fractions do not have alike denominators.
We can fix this problem easily by turning 3/8 and 1/4 into alike denominator fractions.
We can turn 1/4 into 2/8 as it is equivalent fractions.
1 x 2 = 2
4 x 2 = 8
(Whatever you do to the denominator, you have to do the same to the numerator)
Once we get this, we can see that Shen spent 2/8 hours on his homework while he spent 3/8 hours on his math assignment.
3/8 - 2/8 = 1/8
1/8 = 0.125
Shen spent 1/8 of an hour (or 0.125 of an hour) more on his math assignment than his history assignment.
Answer:
11: x=90 and y=10
12: x=59 and y=48
14?: x = 28, y = 20 and z = 56
15: x = 4 and y = 53
Step-by-step explanation:
11: Since two sides are parallel, you can draw a transversal (a line that crosses through both) that makes sure all angles it makes are 90 degrees. (let me know if that doesn't make sense. Now you have two trapezoids. One has angle measures 90+90+90+x=360 and the other has 90+90+77+y = 360. Doing some quick algebra gets you x=90 and y=10
12: We do the same thing, transversal throught he parallel lines to get four 90 degree angles. Now 360 = 90 + 90 + 2x + 62 makes x = 59 and 360 = 90 + 90 +3 y + 42 makes y = 48
(14? the one to the left of 15): Could do the same thing to solve for x, then we need to do something different for y and z. so first 90 + 90 + 68 + 4x = 360 so x=28. Now, since this is an isosceles trapezoid it means the two top angles are equal and the two bottom angles are equal. so 68 =3y+8 so y = 20 and 2z = 4x = 4(28) makes z = 56
for 15 we'll start with y. We will call the two equal angles a, because we need to use them. Since the top and bottom parts are parallel, 106 + a = 180 and 2y + a = 180. Use a system of equations to find a = 74 and y = 53 (You just needed y of course). since 2y=106, we know that 4x=6x-8 so then we can solve for x = 4
Answer:
I think the answer should be floor 4 but since floor 5 is the closest I would go for that.
Step-by-step explanation:
there are 5 members initially in the group if every member has to bring 2 members and those 2 members have to also bring in 2 other members that mean 4 people that are brought in by one person and if there are 5 people in a group that means 20 people are brought in one floor if 20 * 4 is 80 plus the initial 5 members so they only need 4 floors to have at least 80 members.
