Using multiplication signal rules, it is found that:
A: Emma's statement is always false.
B: The result is always negative.
C: Emma's statement is always true.
The rule used for this exercise is as follows:
- When two numbers of different signals are multiplied, the result is negative.
- When two numbers have the same signal, the result is positive.
Part A:
- Three numbers are multiplied, all negative.
- The multiplication of the first two result in a positive number.
- Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.
Two examples are:
Part B:
The rule is that the result is always negative.
Part C:
- The multiplication of the first two negative numbers result in a positive number.
- Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.
Two examples are:
A similar problem is given at brainly.com/question/24764960
Answer:
Step-by-step explanation:
The attached photo shows the diagram of quadrilateral QRST with more illustrations.
Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)
The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT
Using sine rule,
q/SinQ = t/SinT = r/SinR
24/sin98 = QT/sin50
QT = r = sin50 × 24.24 = 18.57
Also
24/sin98 = QR/sin32
QR = t = sin32 × 24.24 = 12.84
Let us find area of triangle QRT
Area of a triangle
= 1/2 abSinC = 1/2 rtSinQ
Area of triangle QRT
= 1/2 × 18.57 × 12.84Sin98
= 118.06
Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12
Answer:
216
Step-by-step explanation:
36 times 10 = 360
360 times 0.60 = 216
Answer: 1527
Step-by-step explanation:
Total Area = 7500 ft^2
Area covered by one student = Area of one circle
= π*r^2
r = radius of circle = 2.5/2 = 1.25 ft
Area covered by one student = π*1.25^2 = 4.91 ft^2
Number of students who can fit into total area = Total Area/Area covered by one student
Number of students who can fit into total area = 7500/4.91 = 1527.49
Hence the answer is 1527 students
Answer:
equation: y = 12x
Dr. Betz worked for 8 hours.
Step-by-step explanation:
To write the equation we'll use the form y = mx, where y represents the amount of time the Doctor worked, m is the amount of minutes it takes to treat each animal, and x is how many animals have been treated. We know the value of m is 12, so let's put that into the equation:
y = 12x
Now we have our equation. We can use it to see how long Dr. Betz worked. He treated a total of 40 animals - 20 including the shaggy dog, and 20 after the shaggy dog. let's replace x with 40:
y = 12(40)
Now solve:
y = 480
Dr. Betz worked for 480 minutes. There are 60 minutes in an hour. Divide 480 by 60 to find out how many hours Dr. Betz worked for:
480/60 = 8
Dr. Betz worked for 8 hours.
