Yes. this is very very true. mmmmmmmmmmmmm
Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
The original number of goats in the village is 6467.
Step-by-step explanation:
First Sum of the given percentage
i.e.,
14% + 6% = 20%
Now, The 20% of the given no. of goat is,
8084 × 20/100 = 1616
Now,
8084 - 1616 = 6467
Thus, The original number of goats in the village is 6467.
<u>-TheUnknownScientist</u><u> 72</u>
The first problem’s answer is true. (P.S. If you don’t understand this type of problems then plug in variables for them. It helps check your answer and solve them too.)
The second problem’s answer is false.
First of all, I plugged in for the variable a to be 6 for the first problem. Second, I plugged in numbers for the variables and x was 5 and x was 2 for the second problem. You can check the steps in the image I took. (P.S. You can use the MathPapa calculator online to solve these problems and plug in the variables.)
(I couldn’t upload the second problem’s step by step sorry, but if you need it then just use the MathPapa calculator by plugging in numbers for the variables.)
Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
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For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
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The angles depend on the size of the circle, which is not given.