Please help. What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.

Answers

Answer 1

The area of the rhombus in the simplest radical form is 87 units²

Properties of a rhombusAll the sides are equal.Opposite sides are parallel.Diagonals are perpendicular to each other.Opposite angles are equal.

Therefore,

area of the rhombus = ab / 2

where

a and b are the diagonals

Therefore,

tan 60 = x / 5

x = 5 tan 60

x = 8.66025403784

x = 8.7 units

area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²

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Please Help. What Is The Area Of The Rhombus In Simplest Radical Form? The Figure Is Not Drawn To Scale.

Related Questions

You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)​

Answers

The length of the fence which needs to be put around the pool will be 26 feet.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

You are the manager of the town pool.

You need to build a fence around the new children's pool area.

The pool is 5 feet wide by 8 feet long.

You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.

Then the length of the fence which needs to be put around the pool will be

P = 2 (5 + 8)

P = 2 x 13

P = 26 ft

Then the length of the fence which needs to be put around the pool will be 26 feet.

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You deposit $800 in an account that pays 8% annual interest compounded quarterly. About how
long will it take for the balance to triple?

Answers

Answer: t = 13.73


Explination:

Youre going to use the equation A= Pe^rt
A= 2400 (800 trippled)
P= 800 because thats your deposit
E=0.08 (this is 8% as a decimal)
T= time, this is what youre going to find since its how long for it to tripple

Now lets do the math

2400. 800 e^0.08%
——— = ———————-
800 800

(Take 2400/800 this equals 3)
Now you’ll have this
3= e^0.08

Ln 3 = Ln e^0.08t
Ln3=0.08t Ln e

Now we have to get rid of 0.08

Ln 3 0.08t
——— = ————
0.08 0.08

Now in your calculator:

Ln (3) / 0.08 = 13.73265…..

So rounding this gives 13.73
T=13.73

Which of these is an example of similar terms

Answers

Answer:

sorry if this is wrong, I don't take algebra two and I won't have to, but maybe a polynomial with three turns

The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:

a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N​

Answers

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

What is variation?

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

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7cm
10cm
1 Define the perimeter of any closed two-dimensional shape.
2 Hence, calculate the perimeter of the figure above.

Answers

Perimeter = 2(l+b) is correct i think

If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)?

Answers

These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3

Composite functions

These are functions inside another function. Given the following functions

m(x) = x^2 +3

n(x) = 5x +9

We are to solve for the function m(n(x))

m(n(x)) = m(5x+9)

Substitute 5x +9 into m(x) to have:

m(n(x)) = (5x+9)^2 + 3

Hence the resulting composite function is given as (5x+9)^2 + 3

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The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.

Answers

Answer:

4.5 %

Step-by-step explanation:

Answer:

4.5%

Explanation:

1)  red = 3
2) green = 4
3) blue = 5

Total bumper cars: (3 + 4 + 5) = 12 cars

Michelle gets red car:

3/12 = 1/4

Remaining red cars: 3 - 1 = 2

Remaining total cars: 12 - 1 = 11

Garth get red car:

2/11

Probability they both get red cars:

1/4 × 2/11 = 1/22 ≈ 4.5%

I need this problem solved

Answers

Answer:

x = 50

Step-by-step explanation:

∠ BAC and 135° are adjacent angles and sum to 180° , then

∠ BAC = 180° - 135° = 45°

∠ BCA = 180° - 45° - 85° = 180° - 130° = 50° ( sum of angles in triangle )

x and ∠ BCA are alternate angles and are congruent , then

x = 50

the vertices of figure ABC are A(-4,1), B(5,3), and C(4,-2). If figure ABC is reflected over the line x=2, find the coordinates of vertex B'.

Answers

The coordinates of vertex B' are (-1,3)

What is reflection?

Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.

Analysis:

When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.

So vertex B' is a reflected vertex along the y- axis since it is at x=2

The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3

so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.

So the coordinates of vertex B' are (-1,3)

In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)

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Which is Greater, negative 2 and 2 fifths or negative 2 and 1 forth?

Answers

Answer:

-2 and 1/4

Step-by-step explanation:

1/4 is equal to 0.25

2/5 is equal to 0.40

Because it is negative, 1/4 is considered greater.

what are the roots of x^2+7x+12
A:6&2
B:-6&-2
C:3&4
D:-3&-4​

Answers

Answer:

D

Step-by-step explanation:

x² + 7x + 12

to find the roots equate the expression to zero

x² + 7x + 12 = 0

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

the factors are + 3 and + 4 , since

3 × 4 = 12 and 3 + 4 = 7 , then

(x + 3)(x + 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 4 = 0 ⇒ x = - 4

Answer:

D -3, -4.

Step-by-step explanation:

x^2 + 7x +12 = 0

12 = 3*4 and 7 = 3 + 4 so we write:

(x + 3)(x + 4) = 0

x + 3 = 0 ,  x + 4 = 0

So x = -3, -4.

Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Hannah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?

Answers

Their are 16 different ways they can line up and for the second one is 43 outcomes


can some please help me

Answers

Answer:

2.3 cm

Step-by-step explanation:

[tex]\textsf{Area of a trapezium}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex]

Given:

base a = 3.8 cmbase b = 6.1 cmh = x cm

Substituting the given values into the formula and solving for x:

[tex]\implies \dfrac{1}{2}(3.8 + 6.1)x=11.385[/tex]

[tex]\implies \dfrac{1}{2}(9.9)x=11.385[/tex]

[tex]\implies 9.9x=22.77[/tex]

[tex]\implies x=2.3[/tex]

Area of trapezoid 1/2(sum of parallel sides)(Height)

1/2(6.1+3.8)x=11.3851/2(9.9)x=11.3859.9x=22.77x=22.77/9.9x=2.3

Write the number shown in standard notation. 1.02 x 10 A. 1,020,000 B. 102,000,000 C. 102,000 D. 10,200,000

Answers

i think its c

Step-by-step explanation:

don't count me on this

Your answer should be A please mark brainlest

Timothy draws three isosceles triangles. In each figure, he measures a pair of angles.

What is a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning?


In an isosceles triangle, two of the angles are congruent.

In an isosceles triangle, one angle is always obtuse.

In an isosceles triangle, all of the angles are congruent.

In an isosceles triangle, two of the angles are obtuse.

Answers

Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."

Step-by-step explanation:

Answer:

In an isosceles triangle, two of the angles are congruent.

hope this helps :)

A couple is looking for a mortgage to purchase a house for $256,000. If the bank requires a 5% down payment, what is the amount to be mortgaged?

$128000
$12800
$243200
$25600

Answers

$12,800
Multiply $256,000 by 5%

Solve this system of equations by
using the elimination method.
3x + 3y = 18
2x+y = 4
([?], [ ])

Answers

Answer:

solution: (x,y)=(-2,8)

Step-by-step explanation:

1) 3x+3y=18

  2x+y=4

2) -x-y=-6

  2x+y=4

3) x=-2

4) 2x(-2)+y=4

5) y=8

6) (x,y)=(2,8)

and that is :D

7513% [tex]\frac{5}{3x^{2} }[/tex] x³ Find the Product Show All work!

Answers

[tex]\\ \rm\Rrightarrow \dfrac{7513/100\times 5x^3}{3x^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{75.13(5)x^3}{3x^2}[/tex]

[tex]\\ \rm\Rrightarrow {125.22x}[/tex]

The map uses a scale 1 inch = 880 ft. On the map, How many inches represent 2 miles?

PLS HURRY

Answers

Answer:

[tex]12\ inches[/tex]

Step-by-step explanation:

Step 1:  Determine how many ft are in 2 miles

[tex]1\ mile = 5280\ ft[/tex]

[tex]2\ miles = 5280\ ft * 2[/tex]

[tex]2\ miles = 10560\ ft[/tex]

Step 2:  Determine how many 880 ft's are in 10560 ft

[tex]10560\ ft / 880\ ft[/tex]

[tex]12[/tex]

Answer:  [tex]12\ inches[/tex]

I need a genuine answer. Don't answer if you don't know. Need a proper explanation.​

Answers

Answer:

Step-by-step explanation:

If m and n are both 1 then

Minimum value = 10^(1+1) * 3^(1-1) * 225

= 325.

If m and n have to be different, then m = 2 and n = 1

Minimum value = 10^3 * 3^1 * 15^2

= 675,000.

Since m and n are natural numbers then N will always be rational.
If m >= n then N will also be natural which is a subset of rational numbers.
If m < n then 3^(m - n) will be less than 1 and N will need to be written as a fraction, which are still rational.

The minimum values for both m and n are 1 by definition.

Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can
be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the
constraints on the values of x and y?
O y=5.5x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=5.5x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.
O y=x+5.5; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.

Answers

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

What is the equation for this situation?

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.

For the following sequence.

1/2 2/3 3/4 4/5 5/6

Describe the term to term rule.
...............................................

Calculate the 10th term
.............................................

Answers

Answer:

Term-to-term rule: Adding one to the numerator and the denominator

10th term: 10/11

Step-by-step explanation:

The data below represents the weight, in kilograms, of 15 containers shipped from a factory in one week.


Match the letter with the correct term that would be necessary to complete the box and whisker plot.

Answers

Box and whisker plot has shown in the picture which shows different measures of the data set.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data:

45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100

Sample size: 15

A  = (c) The Lowest value (45)

B = (e)Lower quartile Median (55)

C = (b) Median (81)

D = (d) Upper quartile (93)

E = (a) The Highest value (100)

Thus,  box and whisker plot has shown in the picture which shows different measures of the data set.

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3. If you are just building your payment history, how many points from a perfect score will you possibly miss
A. 280 points
B.
80 points
240 points
D. 120 points

Answers

a) 280 points

b) 80 points

c) 240 points

d) 120 points

correct option :A) 280 points

Please help me solve for X

Answers

Answer:

[tex]\boxed{\sf x = 8.67}[/tex]

Step-by-step explanation:

[tex]\sf 6(6 + x) = 4(4 + 18)[/tex]

Use the distributive property to multiply 6 by (6+x).

[tex]\sf 36+6x=4(4+18)[/tex]

Let's add 4 and 18 = 22.

[tex]\sf 36+6x=4 \times 22[/tex]

Multiply 4 and 22 = 88.

[tex]\sf 36+6x=88[/tex]

Subtract 36 from both sides.

[tex]\sf 6x=88 - 36[/tex]

[tex]\sf 6x=52[/tex]

Divide both sides by 6.

[tex]\sf x = 8.67[/tex]

Billy has been on a diet for
22
weeks. He has averaged a loss of
0.73
pounds each week.

How many total pounds has Billy lost?

Answers

tanong mo sa ate mo baka alam nya

Answer:

16.06 lbs

Step-by-step explanation:

I believe, I did~ 0.73x22

Thank you for answer, if you do

Answers

The majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

What is the meaning of dot plot?

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.

The data given in the table is-

3.01, 3.26, 3.26, 3.79, 4.26, 4.34, 5.17, 5.94, 5.94, 5.94, 5.94, 7.14, 7.54, 7.90, 8.03, 9.15, 10.25, 11.98, 12.84, 19.86

The majority of data is between 3.01 to 7.90. The percentage of these data values to total data is 70%.

When data is represented in dot plot, then the distribution is a normal distribution. The data set has the value of median and mode equal to 5.94.

Median=5.94

Mode=5.94

Thus, the majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

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Kofi is 8years old and his mother is 42. In how many years will his mother's age be 3 times more than kofi's age?​

Answers

Answer:

After 9 years mother's age will be 3 times more than kofi's age .

Step-by-step explanation:

Given

Age of Kofi = 8 years

Age of Mother = 42 years

According to question , 3 times more than kofi's age .

=> ( 8+ x ) 3 = 42 + x

=> 24 + 3x = 42 + x

=> 3x - x = 42 - 24

=> 2x = 18

=> x = 18/2

=> 9

After 9 years ,

Age of Kofi = 8 + 9 = 17 years Age of Mother = 42 + 9 = 51 years

Point b has coordinates ​(1​,2​). the​ x-coordinate of point a is negative −11. the distance between point a and point b is 15 units. what are the possible coordinates of point​ a?

Answers

Point A would be at (-11, -1) i think

Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the​ building?

Answers

Answer:

7.4 seconds

Step-by-step explanation:

878 = 16 t^2    divide both sides of the equation by 16

54.875 = t^2    take positive sq rt

7.4 seconds

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