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3 years ago

I need help on these problems please

Mathematics

1 answer:

Alik [6]3 years ago

5 0

Alright sure:
Q5: ∠3
Q6: ∠1
Q7: ∠2
Q8: x = 25
Q9: x = 63
For Questions 8 and 9 what I did was find out the supplementary angle adjacent to the exterior angle.
8: 180° in a supp. angle. So 180-105 = 75. To make a triangle it has to be 180°. So 180 - 75-80 = 25 So x=25
9: 180° in a supp. angle. So 180-135 = 45. To make a triangle it has to be 180°. So 180 - 45-72 = 63. So x=63

Let me know if you don't understand that. If you don't get it I'll explain it further for you.

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Please explain in steps!

iragen [17]

$3. \: {2 + 4^2} - 4+ 2 \\ = 2 + 16 - 4 + 2 \\ = 18 - 4 + 2 \\ = 14 + 2 \\ = 16 \\ \\ 4. \: {84 + 7}^{2} - 9 + 2 \\ = 91^{2} - 9 + 2 \\ = 8281 - 9 + 2 \\ = 8272 + 2 \\ = 8274 \\ \\ 5. \: {5 ^{2} + 7} + 5 - 6 \\ = 25 + 7 + 5 - 6 \\ = 32 + 5 - 6 \\ = 37 - 6 \\ = 31 \\ \\ 6. \: {4^{2} + 7} + 4 - 10 \\ = 16 + 7 + 4 - 10 \\ = 23 + 4 - 10 \\ = 27 - 10 \\ = 17 \\ \\ 7. \: 2 - {4 + 2}^{2} + 9 \\ = 2 - 6^{2} + 9 \\ = 2 - 36 + 9 \\ = - 34 + 9 \\ = - 25 \\ \\ 8. \: 3 - {6 + 3}^{2} + 9 \\ = 3 - 9^{2} + 9 \\ = 3 - 81 + 9 \\ = - 78 + 9 \\ = - 69 \\ \\ 9. \: {42 + 7}^{2} - 2 + 5 \\ = 49^{2} - 2 + 5 \\ = 2401 - 2 + 5 \\ = 2399 + 5 \\ = 2404 \\ \\ 10. \: {2^{2} + 5} \times 2 - 7 \\ = (4 + 5) \times 2 - 7 \\ = 9 \times 2 - 7 \\ = 18 - 7 \\ = 11 \\ \\ 11. \: 6 \times {66 + 11 - 5}^{2} \\ = 6 \times 77 - 5^{2} \\ = 6 \times 72^{2} \\ = 6 \times 5184 \\ = 31104 \\ \\ 12. \: {78 + 13}^{2} - 8 + 5 \\ = 91^{2} - 8 + 5 \\ = 8281 - 8 + 5 \\ = 8273 + 5 \\ = 8278$

5 0

3 years ago

By what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases

erica [24]

Answer:

The product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

Step-by-step explanation:

Let first number be x and second number be y .

Then product of x and y = xy ......(1)

Given the first number increases by 70%, while the second number decreases by 40% this means,

x is increased by 70% that is

increased value of x = x + 0.7(x) = 1.7 x

Similarly y is decreases by 40% that is

decreased value of y = y - 0.4(y) = 0.6y

New product will be = (increased value of x )( decreased value of y)

= (1.7x)(0.6y)

=1.02xy

Changed Percentage = $\dfrac{\text{new value - original value}}{{\text{original value}}}\times 100$

Substitute the values, we get,

Changed Percentage = $\frac{1.02xy-xy}{xy}\times 100$

Changed Percentage = $\frac{0.02xy}{xy}\times 100$

Changed Percentage = $0.02\times 100$

Changed Percentage = $2\%$

Thus, the product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

5 0

4 years ago

A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an

navik [9.2K]

Option A

The restaurant Manager can afford at most 10 employees for the day

Solution:

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

$50x + 100\leq 600$

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

$50x + 100\leq 600$

Add -100 on both sides of inequality

$50x + 100 - 100\leq 600 - 100\\\\50x\leq 500$

Divide by 50 on both sides of inequality

$\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10$

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

6 0

4 years ago

Please, I need it quick.

djyliett [7]

Mean absolute deviation around the mean

Mean for set 1 equals: (20+24+40+63+76+89)/6 = 312/6 = 52
Mean for set 2 equals: (41+50+58+62+72+83)/6 = 366/6 = 61

Mean absolute deviation around the mean for set 1 equals:
( |20 - 52| + |24 - 52| + |40 - 52| + |63 - 52| + |76 - 52| + |89 - 52| )/6 = (32 + 28 + 12 + 11 + 24 + 37)/6 = 144/6 = 24

Mean absolute deviation around the mean for set 2 equals:
( |41 - 61| + |50 - 61| + |58 - 61| + |62 - 61| + |72 - 61| + |83 - 61| )/6 = (20 + 11 + 3 + 1 + 11 + 22)/6 = 68/6 = 11,334

MAD for City 2 is bigger than the MAD for City 1, which means the average monthly temperatures of City 2 vary more than the average temperatures for City 1

5 0

4 years ago

Which of the following is the radical expression of2 times d to the seven tenths power? (2 points)

Effectus [21]

The answer to your question is c

5 0

3 years ago