Answer:
6b^4+6b^3-923
Step-by-step explanation:
Answer:
44/60=11/15
Step-by-step explanation:
Answer:
Choice A. Segment LM is congruent to segment LO.
Step-by-step explanation:
Triangles LMX and LOX are right triangles since we see that each one has a right angle.
Segment LX is congruent to itself. Segment LX is a side of both triangles. It is a leg of both triangles, so we already have a leg of one triangle congruent to a leg of the other triangle.
For the HL theorem to work, we need a leg and the hypotenuse of one triangle to be congruent to the corresponding parts of the other triangle. Since we already have a pair of legs, we need a pair of hypotenuses.
The hypotenuses of the triangles are segments LM and LO.
Answer: A. Segment LM is congruent to segment LO.
<span>Greetings!
"One million four hundred ninety-six thousand seven hundred seventy -two in standard form."...
First start at the end of the number:
Two is in the ones place: 2
Seven is in the tens place: 72
Seven is in the hundreds place: 772
Six is in the thousands place: 6772
Nine is in the ten-thousands place: 96772
Four is in the hundred-thousands place: 496772
One is in the millions place: 1</span>496772
The number in standard form is: 1496772
Hope this helps.
-Benjamin
Answer:
1a) 210
1b) 0.18
2) 17.7 will fit (> 17)
3) 515 cm^2
Step-by-step explanation:
1a) The sample of 25 is exactly 1/30 of the population of 750, so the number of orange cakes in the population will be 30 times the number in the sample.
The total number of orange cakes made on Monday is 30·7 = 210.
__
1b) The lowest number that will round to 5 is 4.5. The lowest probability that a cake is an orange cake is ...
4.5/25 = 18/100 = 0.18
The lower bound on the probability that the cake is orange is 0.18.
____
2) The working shown is partly correct.
The possible error in the box dimension is 1/2 cm, so the box may be as short as 28 -1/2 cm = 27.5 cm.
The possible error in the disc case dimension is 1/2 mm = 0.05 cm, so the case may be as thick as 1.5 +.05 = 1.55 cm.
The minimum number discs that will fit in the case is (27.5 cm)/(1.55 cm) = 17.7. Thus, 17 cases will definitely fit in the box.
____
3) The shaded area will be the largest when the outside rectangle is the largest and the inside rectangle is the smallest. Errors in dimensions can be as much as 1/2 cm, so the Outside rectangle can be 42.5 cm by 21.5 cm. The inside rectangle can be as small as 27.5 cm by 14.5 cm.
Then the shaded area can be as large as ...
(42.5)(21.5) -(27.5)(14.5) = 515 . . . . cm^2
