A jacket usually sells for $66.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?

Answer:

[tex]HI=HJ=\sqrt{30}[/tex]units

[tex]\angle I=45^{\circ}[/tex]

Step-by-step explanation:

We are given that

[tex]\angle J=45^{\circ}[/tex]

[tex]JI=2\sqrt{15}[/tex]units

We know that

[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin45=\frac{HI}{2\sqrt{15}}[/tex]

[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HI[/tex]

Where [tex]sin45^{\circ}=\frac{1}{\sqrt{2}}[/tex]

[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HI[/tex]

By using rationalization

[tex]HI=\sqrt{30}[/tex] units

[tex]Cos45=\frac{HJ}{2\sqrt{15}}[/tex]

Using the formula

[tex]cos\theta=\frac{base}{hypotenuse}[/tex]

[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HJ[/tex]

[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HJ[/tex]

[tex]HJ=\sqrt{30}[/tex] units

When two sides are equal then angle made by two equal sides are equal

Therefore,

[tex]\angle J=\angle I=45^{\circ}[/tex]

Answer:

y=-7

Step-by-step explanation:

first, you want variables on one side, numbers on the other side of the equation.

4y+4=2y-10

*plus ten on both side to get rid of -10*

4y+14=2y

*minus 4y on each side to get rid of 4y*

14=-2y

*divide by -2 on each side to get the value of just one y itself*

y=-7

Answer:

16

Step-by-step explanation:

Answer:

Awsten Knight

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

x=y-8

-x-y=0

-(y-8)-y=0

Distribute the negative

-y+8-y=0

Combine the like terms

-2y+8=0

-8 (to both sides)

-2y=-8

Divide by -2

y=4

Answer:

KR

Step-by-step explanation:

First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

Answer:

X=2

Step-by-step explanation:

Answer:

5 units^2

Step-by-step explanation:

Area of a triangle =

[tex] \frac{bh}{2} [/tex]

plugging in:

[tex] \frac{5 \times 2}{2} [/tex]

[tex] \frac{10}{2} [/tex]

[tex]5[/tex]

Answer:

A=1/2(b)(h)

H= 2 units

b= 5

A= 10×1/2 = 5 units^2

Answer:

-1/6

Step-by-step explanation:

(-1/4)/(3/2)=(-1/4)(2/3)=-2/12=-1/6

Answer:

Each result is equally likely.

The sample space has 36 different outcomes.

Explanation:

A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36

Answer:

Each result is equally likely.

The sample space has 36 different outcomes.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

27 - {18 + (16 ÷ (2 x 3 - 4))}

27 - {18 + (16 ÷ (6 - 4))}

27 - {18 + (16 ÷ 2)}

27 - {18 + 8}

27 - 26 = 1

Answer:

$53

Step-by-step explanation:

75-18

Answer:

8.07 × 10⁸

HOPE THIS HELPS

Answer:

x=1

Step-by-step explanation:

I'm not positive, it looks like a trick question but id say x=1 bc 17 × 1 is 17 and 17 is greater than -17 but then again any number greater than 1 such as 2,3,4, or 5 could work

Answer:

Step-by-step explanation:

There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.

[tex]b^4-3b^3-10b^2[/tex]

First, factor out a b^2

[tex]b^2(b^2-3b-10)[/tex]

Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2

[tex]b^2((b-5)(b+2))[/tex]

Answer: -4

Step-by-step explanation:

Rephrase the given expression

3 times 1/3 and subtract 5

3×1/3-5

Do multiplication first, then subtraction

 3×1/3-5

=3/3-5

=1-5

=-4

Hope this helps!! :)

Please let me know if you have any questions

answer 10,000 Because if you round thirteen to the nearest ten thousand it's ten thousand

Explanation

because 10,000 is the first 10,000 you can ever get to

Answer:

operaciones : 600×3= 1800÷5=360.

Step-by-step explanation:

y entonces cada amigo tendra que pagar 360 ya que eran 3 amigos y iban a pagar 600 cada uno pero ahora son 5 asi que deben de pagar 360

Answer:

the answer is false

Step-by-step explanation:

just cause it is

Answer: x - 5.6 = 76.9

Step-by-step explanation:

The number June thought of would give a result of 76.9 if 5.6 were subtracted from it.

Assume that number is x.

If you subtract 5.6 from x, you would get 76.9.

Equation is therefore:

x - 5.6 = 76.9

Solving for x would make x:

x - 5.6 = 76.9

x = 76.9 + 5.6

x = 82.5

Answer:

1844

Step-by-step explanation:

For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, z is the critical value and n is the sample size.

Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.

The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.

The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.

Put the value in the above formula as,

[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]

Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

Learn more about the margin of error here;

https://brainly.com/question/10218601

Answer:

7

Step-by-step explanation:

Divide each term by 8 and simplify

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)