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castortr0y [4]
3 years ago
5

Express 80 as a product of prime factors using index notation

Mathematics
1 answer:
hammer [34]3 years ago
4 0
80 = 2 x 2 x 2 x 2 x 5
80 = 2 ^4 x 5
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Help ASAP!
Tema [17]

Answer:

B

Step-by-step explanation:

\boxed{area \: of \: sector =  \frac{1}{2} {r}^{2} θ }

Radius= diameter ÷2

r= 32 ÷2

r= 16

\frac{1}{2}  {r}^{2} θ =  \frac{512\pi}{3}

Substitute r= 16,

\frac{1}{2} ( {16}^{2} )(θ) =  \frac{512\pi}{3}

128 \: θ =  \frac{512\pi}{3}  \\ θ =  \frac{512\pi}{3}  \div 128 \\ θ =  \frac{512\pi}{384}

Divide the denominator and numerator by 128:

θ =  \frac{4\pi}{3}

Thus, the answer is B.

3 0
3 years ago
EVALUATE SQUARE ROOTS asap
Kamila [148]
1.
√(16+20)=√36=6
C

2.
√(21-9)=√(12)=(√4)(√3)=2√3
B

3. 2*√3=2*1.73205=3.464
B



1.C
2.B
3.B
8 0
3 years ago
EMERGENCY <br> Triangles ABC and DEF are similar. Find the length of the segments EF and DF
Gala2k [10]

Answer:

EF = 1.5. DF = 2.

Step-by-step explanation:

DE is half of AB so EF is half of BC and DF is half of AC.

7 0
2 years ago
Write an equation in slope-intercept form and then in standard form for each line described. y-intercept -2; x-intercept 5
Xelga [282]
Hello
the line passes by A ( 0 ; -2)  and B (5 ; 0) equation : y = ax+b
a is a slop : a = (yb - ya)/(xb -xa)
a = (0+2)/(5-0)
a =2/5
y = (2/5)x+b
if x=5 and y= 0
0 = (2/5)(5)+b
b= - 2
the equation is : y = (2/5)x-2


5 0
3 years ago
Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he
Valentin [98]

.........................................

7 0
2 years ago
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