11x3=33. .50x4=2
Step-by-step explanation:
11(x) cupcakes. = $33.00
4(y) cookies. = $2.00.
$33.00 + $2.00
<h3>
Answer: AC = sqrt(21)/2</h3>
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Explanation:
Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.
Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so
AD+DB = AB
AD+AD = 3
2*AD = 3
AD = 3/2 = 1.5
For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC
a^2 + b^2 = c^2
(AD)^2 + (CD)^2 = (AC)^2
(3/2)^2 + (sqrt(3))^2 = (AC)^2
9/4 + 3 = (AC)^2
(AC)^2 = 9/4 + 3
(AC)^2 = 9/4 + 12/4
(AC)^2 = 21/4
AC = sqrt(21/4)
AC = sqrt(21)/sqrt(4)
AC = sqrt(21)/2
This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)
Answer:
160
Step-by-step explanation:
Muliply both sides by 20/3 to get e=20/3*24=160
<span>Simplifying
13 = 2f + 5
Reorder the terms:
13 = 5 + 2f
Solving
13 = 5 + 2f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-2f' to each side of the equation.
13 + -2f = 5 + 2f + -2f
Combine like terms: 2f + -2f = 0
13 + -2f = 5 + 0
13 + -2f = 5
Add '-13' to each side of the equation.
13 + -13 + -2f = 5 + -13
Combine like terms: 13 + -13 = 0
0 + -2f = 5 + -13
-2f = 5 + -13
Combine like terms: 5 + -13 = -8
-2f = -8
Divide each side by '-2'.
f = 4
Simplifying
f = 4
SO, f = 4
13 = 2 </span>× 4 + 5<span>
Hope I helped:P</span>
