All categories

3 years ago

Solve for x. Round to the nearest tenth, if necessary.

Mathematics

2 answers:

serg [7]3 years ago

4 0

Answer:

x = 8.8

Step-by-step explanation:

take 20 degree as reference angle .the,

hypotenuse = OQ = x (hypotenuse is always opposite of 90 degree)

perpendicular(opposite) = PQ 3 (opposite of reference angle is perpendicular or also called as opposite)

base(adjacent) = OP (side which lies on the same line where 90 degree and reference angle)

using sin rule

sin 20 = opposite / hypotenuse

0.34 = 3 / x

x = 3/0.34

x = 8.82

x = 8.8

Paha777 [63]3 years ago

4 0

X=8.8 is what is written

You might be interested in

67(9*737)+9<br> What order do I do this in?

konstantin123 [22]

first u do the the thing in the parenthesis and then u multiply it by 67 and then add 9

4 0

3 years ago

Read 2 more answers

Suppose you have line AB on a coordinate plane located at A(-3,-4) and B(5,-4). Under a dilation centered at (9,0), line AB

masya89 [10]

Answer:

$\dfrac{1}{4}$

Step-by-step explanation:

Center of dilation: O(9,0).

Line AB with A(-3,-4) and B(5,-4) is dilated with the scale factor k and center of dilation at O to form line A'B' with A'(6,-1) and B'(8,-1).

Then

$OB'=kOB\\ \\OA'=kOA$

Since

$OB'=\sqrt{(8-9)^2+(-1-0)^2}=\sqrt{1+1}=\sqrt{2}\\ \\OB=\sqrt{(5-9)^2+(-4-0)^2}=\sqrt{16+16}=4\sqrt{2},$

then

$\sqrt{2}=k\cdot 4\sqrt{2}\\ \\k=\dfrac{1}{4}$

6 0

3 years ago

Solve algebraically the simultaneous equations<br><br> X^2 + Y^2 =25<br> Y-2X = 5

Georgia [21]

Answer:

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

Step-by-step explanation:

Given:

$x^{2} + y^{2} =25$ .........( 1 )

$y-2x = 5\\y=2x+5$ ................( 2 )

To Find:

x = ?

y = ?

Solution:

Substituting ' y ' in Equation 1 we get

$x^{2}+(2x+5)^{2} =25$

Using identity (A+B)²=A²+2AB+B² we get

$x^{2}+4x^{2}+20x+25=25\\\\5x^{2}+20x=0\\5x(x+4)=0\\5x=0\ or\ x+4=0\\x=0\ or\ x= -4$

Now Substitute x =0 in equation 2 we get

$y=2\times 0+5=5$

Now Substitute x =-4 in equation 2 we get

$y=2\times -4+5=-3$

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

4 0

4 years ago

If the unit sales price is $7 and variable costs are $3, how many units have to be sold to earn a profit of $3,600

Alexeev081 [22]

7 - 3 = 4....so there is a $ 4 profit for every unit sold

4x = 3600
x = 3600/4
x = 900....so 900 units have to be sold to earn a profit of $ 3600

3 0

3 years ago

Please help !!! I’ll mark you as brainliest if correct!

abruzzese [7]

Answer: B

Step-by-step explanation: i thinm sorry if its wrong lool

7 0

4 years ago