Answer: The central angle is 59 degrees.
Step-by-step explanation:
The sector or Arc Length is 59 degrees and the central angle is also 59 degrees, because the central angle equals the same measurement as the sector.
Answer:
82
Step-by-step explanation:
Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:
BAC+BCA+CBA=180
BAC and BCA both measure 49 degrees:
49+49+CBA=180
Solve for CBA
CBA=180-49-49
CBA=82
lmk if i made any errors, hope this helps :)
10
Because if you do 5•2 you get 10
More in depth explanation:
Though there are 25 possible configurations the question asks for two different toppings together. It also asks for unique combinations. So AB and BA are the same combination in this context. The only unique possibilities are
AB
AC
AD
AE
BC
BD
BE
CD
CE
DE
It is easy to simplify this into 5•2 for this situation. And if the question asked for three toppings you would do 5•3.
However if the question asked for the configurations for two toppings then you would do 5•5 and if it asked for the configurations of 3 toppings you would do 5•5•5
3 becuse you put the numbers wrong
Answer:
D.
Step-by-step explanation:
1. Answer A:
15 students signed up for violin lessons (4 boys + 11 girls)
15 / 70 = approx. 21% of the class.
Answer A says 28%, so this is incorrect.
2. Answer B:
17 students signed up for drum lessons (11 boys + 6 girls)
17/70 = approx. 24%
B says 17% signed up for drums, so this is incorrect.
3. Answer C.
Wrong because more girls signed up for piano lessons (15 girls, whereas only 9 boys signed up for piano)
4. D. The same percent of boys and girls are taking guitar lessons.
Get the total number of boys and girls in the class (just add the results for each separately for all instruments)
Boys: 11 + 6 + 9 + 4 = 30
Girls: 6+8+15+11 = 40
6 out of 30 boys signed up for guitar
6/30= 20%
8 out of 40 girls signed up for guitar
8/40 = 20%
Answer is D