Help me answer missing angles in each question please

Answers

Answer 1

Answer: All angles must total 180°

1) x = 180° - 45° - 56° 4) a = 180° - 63° - 90°
x = 79° a = 27°

2) z = 180° - 44° - 90° 5) a = 180° - 135°
z = 46° a = 45°

3) x = 180° - 47° - 45° 6) x = 180° - 52° - 90°
x = 88° x = 38°
y = 180° - 133°
y = 47°

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Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y.2x9y4 + 4x6y3
2x3y2 + 4xy
2x3y2 + 4y2
2x3y2 + 4y

Answers

Answer:

Option 4th is correct

$2x^3y^2+4y$

Step-by-step explanation:

GCF(Greatest common factor) is the largest number that divide the polynomial.

Given the statement:

the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

⇒ $(10x^6y^3+20x^3y^2)/(5x^3y)$

To simplify this expression:

GCF of $10x^6y^3$ and $20x^3y^2$ is, $10x^3y^2$

then;

$(10x^3y^2(x^3y+2))/(5x^3y)$

⇒ $2y(x^3y+2)$

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

⇒ $2x^3y^2+4y$

Therefore, the simplified expression is, $2x^3y^2+4y$

(10x^6y^3 + 20x^3y^2) / 5x^3y

10x^6y^3 / 5x^3y ⇒ 2x^3y^2
20x^3y^2 / 5x^3y ⇒ 4y

2x³y² + 4y This is the simplified answer. The last option.

When you complete a job, but use more time and effort than is truly necessary, how have you worked?a. Effectively, but not efficiently
b. Neither effectively nor efficiently
c. Efficiently, but not effectively
d. Both effectively and efficiently

Answers

a. effectively, but not efficiently
You completed the job, which means it was effective, however since it took so much time and effort, it could have possibly been done more efficiently.

the number of hours that college freshman spend studying each week is normally distributed with a mean of 8 hours and a standard deviation of 5.5 hours. what percentage of students spend between 2.5 and 19 hours each week?

Answers

The answer would be

81.5%

Tony is standing at sea level. From his location, the angle of elevation of the top of Blue Mountain is 23°. Staying at sea level, he walks 220 yards toward the mountain. The angle of elevation of the top is now 27°. Find the height of Blue Mountain. Round intermediate results to 3 decimal places and the final answer to 1 decimal place.

Answers

Answer:

559.2 yards.

Step-by-step explanation:

Let the height of the mountain be x yards and the distance from the second location to the base of the mountain be y yards.

Then we have the equations:

tan 27 = x/y

tan 23 = x / (220 + y)

From the first equation y = x/ tan27 so substituting in the second one we have:

tan 23 = x / (220 + x / tan 27)

Cross multiply:

x = 220 tan23 + x tan 23 / tan 27

x = 93.384 + 0.833 x

x - 0.833x = 93.384

x = 93.384 / 0.167

x = 559.2 yards to 1 dec place (answer).

Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age aa.

Answers

There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

----------------

B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

---------------

"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

"Your sister is 6 years older than your brother" so S = B+6

"Your sister is 10 years old" so S = 10.

---------------

S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

B = 4

Your brother is 4 years old.

---------------

B = Y/3

Y/3 = B

Y/3 = 4 .... plug in B = 4

3(Y/3) = 3*4 ... multiply both sides by 3

Y = 12

Answer: Your age is 12 years old.

note: This answer hinges on assumption that the "1313" should be "1/3".

Explain the standard process for adding and subtracting two fractions?

Answers

To add fractions, you have to have common (shared) denominators.

hope this helps :) it took me lots of editing hope it helpful btw my spelling is off

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