Find x and y please

Mathematics

2 answers:

Alexandra [31]2 years ago

6 0

Answer:

Answer:

x → 4.24
y → 4.24

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

✍ For x :

${ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin(45 \degree) = \frac{x}{6} }} \\ \\ { \tt{x = 6 \times \sin(45 \degree) }} \\ { \tt{x = 4.24}}$

✍ For y :

${ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( 45 \degree) = \frac{y}{6} }} \\ \\ { \tt{y = 6 \times \cos(45 \degree) }} \\ { \tt{y = 4.24}}$

natulia [17]2 years ago

5 0

Answer:

see below

Step-by-step explanation:

this is a 45 90 45-45-90 right triangle. the side is x and the hypotenuse is x*(sqrt(2)). the hypotenuse is 6, so the side is 3(sqrt(2)).

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2 years ago

+ c − c2

Ne4ueva [31]

Answer:

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Step-by-step explanation:

That is the standard form of the equation and the leading coefficient is 5

7 0

2 years ago

I really don't get this plz help

marin [14]

A) if they are counting all 7 days in the week then $250
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3 0

2 years ago

Plsss answer the following.

IRINA_888 [86]

First exercise:

a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.

b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.

c. The additive inverse of a number $x$ is another number $y$ such that $x+y=0$ . So, we're looking form a number such that $3+O=0$ , and thus O = - 3.

d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.

e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.

In the attached image, you can see the number line filled with the points asked by the exercise.

Second exercise:

All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.

$107 + x = 55 \implies x = 55-107 = -52$

$-43 - x = 18 \implies x = -43-18 = -61$

$-43 - x = 18 \implies x = -43-18 = -61$

$55x = 0 \implies x = \frac{0}{55} = 0$

$\frac{x}{-1080} = -40 \implies x = (-1080)(-40) = 43200$

A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).