MATHEMATICS HIGH SCHOOL

(2y + x)^(4x)
(2y - x)°
Find the value of x.
A 9
В. 18
C 45
D. 90

Answers

Answer 1

Answer:

Now,

(2y+x)°+(2y-x)°=180°(straightangle)

or,2y+x+2y-x=180°

or,4y=180°

◆y=45°

Then,

4x=2y-x(verticallyoppositeangle)

or,4x=2*45°-x

or,5x=90°

or,x=90°/5

◆x=18°

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Answer 2

Answer:

Answer:

they are opposite degrees so we can say that 4x=2y-x

Step-by-step explanation:

5x=2y and we complete 4x+(2y+x)=180. and then 5x+2y=180. put 2y from 5x. 4y=180 y= 45 and x= 18°

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Suppose that w and t vary inversely and that t = 5/12 when w= 4. Write a function that models the inverse
variation and find t when w = 5.
A. T=5/12w; 5/12
B.t=5/3w;1/3
C.t=5/48w;5/192
D.t=5/12w;1/3

Answers

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $(1)/(t)$ since they are inverted, otherwise if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=(a)/(t)$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=(5)/(12)$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=(a)/(t)\n \na=wt\n\na=(4)((5)/(12) )\n\na=(5)/(3)$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=(a)/(t) \n\nt=(a)/(w)\n \nt=((5)/(3) )/(5)\n\nt=(5)/(15)\n \nt=(1)/(3)\n$

Therefore based on the options give, we can see that Option B. is correct since

$t=(5)/(3w)$ and for $w=5$ , then $t=(1)/(3)$

i went to sleep randomly on my bed and i woke up with ducks quacking around me. how do i call the bug exterminator? how many steps do i take toward the phone and the distance?

Answers

You don't it's not a bug

Answer:Since You slept randomly, there can’t be a duck in your bedroom, no further explanations is needed.

Step-by-step explanation:

Find 4 consecutive even integers whose sum is 156?

Answers

x+(x+1)+(x+2)+(x+3)=156
4x+6=156
4x=150
x=37.5 (not an integer)
If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]

Answer: The integers are 36, 38, 40, and 42

Step-by-step explanation:

156/2=78

Find even integers by dividing that by two. 39.

So the two middle integers are 38 and 40.

You can go from there.

Five times a number is added to two times its square. if the result is 168, find the number

Answers

5x+(2x)^2= 168 now solve this

A ship is about to sink in 20 minutes with 15 people on board. A nearby island and a boat are their only escape, but the boat can only carry 5 people at a time. It takes a total of 9 minutes for the boat to go from the ship to the island and back. People can't swim due to the threat of sharks. How many people would survive and reach the island?

Answers

10 people will reach the island and survive

Final answer:

Considering the time constraints of the situation, only 2 trips can be made before the ship sinks. Therefore, only 10 people, as the boat carries 5 per trip, can reach the island alive.

Explanation:

This question is a mathematical problem that can be solved by considering the time constraints. To start, we know that the boat can carry 5 people at a time and it takes 9 minutes to go from the ship to the island and back.

This means that only 5 people can be transported to the island every 9 minutes.

However, the ship will sink in 20 minutes, so the boat will only be able to make 2 trips - one at the beginning, and the second after 9 minutes. Therefore only a total of 10 people (5 people per trip) will be able to reach the island before the ship sinks.