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lesya692 [45]
3 years ago
5

How do you solve this question?

Mathematics
1 answer:
Setler [38]3 years ago
7 0
Find out what the variable.
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Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
2 years ago
Barb solved the following equation: 4(3x – 12) = 5(2x + 6)
katrin2010 [14]

Answer:

4(3 * 39 – 12) = 5(2 * 39 + 6)

x = 39


Step-by-step explanation:

4(3x – 12) = 5(2x + 6)

(12x - 48) = (10x + 30)

12x - 10x = 30 + 48

2x = 78

2x/2 = x

78/2 = 39

x = 39

No Prob :)

5 0
3 years ago
Read 2 more answers
An important function of the judicial branch is?
Zolol [24]

Answer:

The judicial branch is important because it complements the other two branches. The executive branch defends the country and enforces the law, the legislative passes, amends and repeals laws, and the judicial branch interprets the law and passes punishment.

hope this helps :)

5 0
3 years ago
PRAGYA PLEASE HELP ME! (y-3)(y+4)?
Gemiola [76]

Answer:

y^2+y-12

Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

y^2+y-12

5 0
3 years ago
Read 2 more answers
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
shepuryov [24]

Answer:

Step-by-step explanation:

\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\

= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}

7 0
2 years ago
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