A: What is the perimeter of HOUSE?
perimeter of HOUSE =


(round to the nearest hundredth - two decimal places)


B: What is the length of OH?

(round to the nearest thousandth - three decimal places)


C: What is the midpoint of OU?


D: Which is longer, OH or EH?


E: What is the perimeter of the triangle HOU?


perimeter of triangle HOU


(round to the nearest hundredth - two decimal points)

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Answer:

51

Step-by-step explanation:

1 book= N8.50

therefore 6 books= N8.50 × 6 = N51

Answer:

 [tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

[tex]A = \frac{1}{2} \pi r [/tex]

multiply all sides by 2:

[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]

divide all sides by r:

[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]

therefore:

[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]

Answer: D

Step-by-step explanation:

m = - 7/4

Point (4, -2)

y - - 2= -7/4(x-4)

y + 2 = - 7/4x + 7

y = - 7/4x +7-2

y = - 7/4 x + 5

The equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The line is [tex]y=-\frac{7}{4} x-2[/tex] ------ (1)

The general equation of line in slope intercept form is

[tex]y = mx + c[/tex] ------ (2)

On comparing the equation 1 and 2, we get the slope as

⇒ [tex]m=-\frac{7}{4}[/tex] and

When two lines are parallel, then the slope of the parallel line is equal to the slope of the given line.

So, the slope of the parallel line is [tex]m = -\frac{7}{4}[/tex]

Thus the equation of the parallel line passing through the point (x1,y1) is (4,-2) as,

⇒ [tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-(-2)=-\frac{7}{4} (x-4)[/tex]

⇒ [tex]y+2=-\frac{7}{4} (x-4)[/tex]

⇒ [tex]y=-\frac{7}{4}x+\frac{7}{4} (4)-2[/tex]

⇒ [tex]y=-\frac{7}{4}x+7-2[/tex]

⇒ [tex]y=-\frac{7}{4}x+5[/tex]

Hence we can conclude that the equation of the line that is parallel to the given line is option (D) [tex]y=-\frac{7}{4}x+5[/tex] is the correct answer.

Learn more about equation of line here

https://brainly.com/question/18663323

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Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,

Answer:

-2 and 6

Step-by-step explanation:

[tex] - 4 + 8 - 2[/tex]

[tex] - 6 + 8[/tex]

[tex] = - 2[/tex]

○●○●○●○●○●○●○●○●○●○●○●○●○●○

[tex]8 - ( - 3) - 5[/tex]

[tex]8 + 3 - 5[/tex]

[tex] = 6[/tex]

Answer:

h = 3 sqrt(21)

or

h = 13.75

Step-by-step explanation:

The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.

FK = 60/4 = 15 feet.

Now you can use the Pythagorean Theorem.

a^2 + b^2 = c^2

a = 6

b = height or = h

c = 15

6^2 + b^2 = 15^2

36 + b^2 = 225

b^2 = 225 - 36

b^2 = 189

sqrt(b^2)= sqrt(189)

b = sqrt(3 * 3 * 3 * 7)  You can take out the square of 3 * 3 and make it 3.

b = 3 * sqrt(3*7)

b = 3 * sqrt(21)

Answer:

6x

Step-by-step explanation:

because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3

Answer:

It is 6

Step-by-step explanation:

take an example:

[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]

a, b, and c are coefficients of x³, x², and x respectively.

d is a constant.

Answer:

Step-by-step explanation:

Coordinates of the points C and D:

The point E has coordinates of (x, y).

The point E is at 3/4 of CD from C and 1/4 of CD from the point D.

Find coordinates of E:

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:

p/sinP = q/sinQ = r/sinR

Given the following parameters

sinQ=2/5, sinR=1/3, and q=6.

6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5

Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

Learn more on sine rule here: https://brainly.com/question/27174058

Answer:

[tex]\frac{10}{49}[/tex]

Step-by-step explanation:

There are 23 red candies, 16 blue candies and 10 yellow candies.

Which means altogether we have..

23 + 16 + 10= 49

49 candies.

To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.

So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]

10 YELLOW CANDIES

49 CANDIES

Answer:

x1 = -8, x2= 2

Step-by-step explanation:

1. Write 6x as a difference

= x^2 + 8x - 2x - 16 = 0

2. Factor the expressions

= x ( x + 8 ) - 2x - 16 = 0

= x ( x + 8 ) - 2 ( x + 8 ) = 0

Factor out x + 8 from the expression

= ( x + 8 ) ( x - 2 ) = 0

3. When the product of factors = 0, at least one factor is 0

x + 8 = 0

x - 2 = 0

4. Solve the equation for x

x = - 8

x = 2

Therefore, the equation has 2 solutions :

x1 = -8, x2 = 2

Answer:

31.74%

Step-by-step explanation:

..........................

Answer:

B) 15.87%

I got full points on this question!! It's correct!

Answer:

3,6

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

-15<-6=-15

-15÷3

=-5

Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.

The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Given that:

[tex]-15 < -6[/tex]

Divide both sides by 3

[tex]-15 \div 3< -6 \div 3[/tex]

Evaluate the division

[tex]-5< -2[/tex]

Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Read more about inequalities at:

https://brainly.com/question/17194874

Answer:

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Step-by-step explanation:

|1 - x^2| > 1/2

~Apply absolute value rule

​1 - x^2 < -1/2 or 1 - x^2 > 1/2

~Simplify

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Best of Luck!

Answer:

80 in

Step-by-step explanation:

A = 1/2bh

400 = 1/2(10)h

400 = 5h

h = 80

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.

First hour: $10

Second hour: $16

Third hour: $22

Fourth hour: $28

So, final answer is:

+1 hour=+$6.

Anyways, I hope this helps! Enjoy your day! Take care!

Answer:

y= 2× +4

Step-by-step explanation:

Slope intercept form y = mx +b

4x -2y = -8

-2y = -4x-8

y = 2x +4

slope = 2x

y intercept = 4

Answer: A

Step-by-step explanation:

There was no active ingredient in the pill but Jennifer thought her headache went away . This is what is required for a placebo effect.

The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).

To know more about placebo effect here

https://brainly.com/question/5069588

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Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

X = 15/16

Step-by-step explanation:

2(4-8x) + 6 = -1

8 - 16x + 6 = -1

14 - 16x = -1

-16x = -1 -14

-16x = -15

X = 15/16

Answer:

[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

[tex]\frac{7}{4}[/tex]+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

Answer:

-1/2  ,  3

Step-by-step explanation:

In order to find the roots of the function 2x² - 5x - 3  

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

  = (-5)² - 4(2)(-3)

  = 25 + 24

  = 49

Then

√Δ = √49 = 7

Determining the Zeros :

[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]

or

[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]

Answer:

8 tickets

Step-by-step explanation:

To find how many tickets he bought, we can divide.

66 / 8.25 = 8

Best of Luck!

Answer:

8

Step-by-step explanation:

66 divided by 8.25, bringing it to 8.

Answer:

3.   15

6.   4

Step-by-step explanation:

Put  3 instead of x

3.    5x

     = 5 × 3

    = 15

6.   12 ÷ x

     = 12 ÷ 3

     = 4

Answer:

When X is 3 it will be

5(3)=15

Then for the second one it will be 12/3

The answer is 4

Hope I helped

Step-by-step explanation:

hopefully it is visible and makes sense

:)

Answer:

x=67 degrees

y=63 degrees (vertically opposite angles)

z=32 degrees

Step-by-step explanation:

x=130-63(sum of 2 interior angles of a triangle is equal to the opposite     exterior angle)

x=67 degrees

y=63 degrees (vertically opposite angles)

z+y+85=180

z+63+85=180

z+   148  =180

       z     =32 degrees

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

Answer:

n = 27

Step-by-step explanation:

(2n + 9) / 9 = 9

multiply both sides by 9

3n = 81

/3      /3

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

n = 27

Answer:

n = 27

Step-by-step explanation:

(2n + n)÷9 = 9

multiply both side by 9

(2n + n) = 81

3n = 81

Divide both sides by 3

3n/3 = 81/3

n = 27