The ratio of the area of the sector (S) to the area of the entire circle (C) is equal to the ratio of the angle subtended to form the sector (As) to the angle for the whole revolution (Ac)
S / C = As / Ac
Substituting the given,
S / 36 m² = 40 degrees / 360 degrees
Solving for S gives, S = 4. Thus, the area of the sector is 4 m².
Answer:
9xy|xy|
Step-by-step explanation:
25xy*V81x^2y^2/V625=25xy*9|xy|/25=9xy|xy|
Answer:
2/27
Step-by-step explanation:
Step one:
given data
Sample space
2 red sections,
3 blue sections, and
4 green sections
Sample size
2+3+4= 9
Required
The probability of Basha spinning a red on her first spin and a blue on her second spin
Step two:
On the first spin, spinning a red= 2/9
On the second spini, spinning a blue= 3/9= 1/3
Hence, The probability of Basha spinning a red on her first spin and a blue on her second spin= 2/9*1/3= 2/27
If your scale factor has absolute value greater than 1, the dilation is an enlargement.
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage.
</span>
Hope this helps.
Answer: the fuel efficiency of the first car is 20 miles per gallon.
the fuel efficiency of the second car is 15 miles per gallon.
Step-by-step explanation:
Let x represent the number of miles per gallon of the first car.
Let y represent the number of miles per gallon of the second car.
During one particular week, the first car consumed 20 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 625 miles. It means that
20x + 15y = 625- - - - - - - - - - 1
The sum of their fuel efficiencies was 35 miles per gallon. It means that
x + y = 35
Substituting x = 35 - y into equation 1, it becomes
20(35 - y) + 15y = 625
700 - 20y + 15y = 625
- 20y + 15y = 625 - 700
- 5y = - 75
y = - 75/ - 5
y = 15
x = 35 - y = 35 - 15
x = 20
