A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.

Area ≈
square units

Answer:

Ted has 10 books and Omar has 15 books

Step-by-step explanation:

Hey there!

In order to find how many books each of the boys have, we can make a system of equations

First equation: O+T=25

Second equation: O=2T-5

After making the equations, you can use substitution by plugging in 2T-5 For O in the first equation:

2T-5+T=25

Simplify LHS

3T-5=25

Take 5 to the other side

3T=30

Divide by 3 on both sides to get T by itself

T=10

So this means that Ted has 10 books

Now we can plug this into the second equation

*note that you can plug 10 into the first equation too*

O=2(10)-5

Simplify RHS

O=20-5

Combine like terms

O=15

This means that Omar has 15 books

So, Ted has 10 books and Omar has 15 books

Answer:

First option

Step-by-step explanation:

The expression can be simplified to:

[tex]\frac{8g^{15} }{64h^6}[/tex] = [tex]\frac{g^{15} }{8h^{6} }[/tex]

You can't simplify this further since the indices if you think about it is g 15 times or h 6 times so you can't simply them further.

Answer:

as a percentage it is: 0.25 x 0.2 =0.05 or 5%
but as a common fraction it is: 5/100 or 1/20

Step-by-step explanation:

Answer:

1 1/2 or 1.5

As a simplified fraction

If this helped pls give brainlest.

Answer:

- (a + b)^2

- (b + c)^2

- (a - b + c) (a + b + c)

The answer is given in the photos below (for verification),

I hope my answer helps you.

k²= 6²+5²

k²= 36+25

k²= 61

k= V61

k=7.81

( 3x+8 ) ( 7x-2 )

= 21x² + 56x - 6x -16

= 21x² + 50x -16

HOPE IT HELPS :)

Let x be the cost of a box of apples and y be the cost of a box of oranges.

Danielle : 3x + 2y = 44.5

Esther: 5x + 4y = 81.5

3x + 2y = 44.5 --- 1

5x + 4y = 81.5 --- 2

6x + 4y = 89 --- 3

From 2 and 3, we have:

x = 7.5

Subsitute x = 7.5 into 1

3(7.5) + 2y = 44.5

2y = 22

y = 11

Therefore, a box of oranges costs 11 dollars

Step-by-step explanation:

(sinx/cosx - cosx/sinx) + sinxcosx

sin²x - cos²x = 1

I can't prove

I only know sin²x + cos²x = 1 : )

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

Length of AB is not given so insufficient info provided

Let's see how to solve then

Scale factor is 3/2 means 3/2 is multiplied with AB to form A'B'

If length of AB is n the. then length of A'B' is 3n/2

The equation C -7 - 3/4 = 0 is an algebraic equation

To solve the equation we (a) add 7 and 3/4 to both sides of the equation

The equation is given as:

C -7 - 3/4 = 0

Make C the subject of formula by adding 7 and 3/4 to both sides of equation

C = 7 + 3/4

Now, we can solve for C

Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation

Read more about equations at:

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Answer:

slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line

m = [tex]\frac{4-(-4)}{-2-(-5)}[/tex] = [tex]\frac{4+4}{-2+5}[/tex] = [tex]\frac{8}{3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

tan 150 = -tan 30

= -1/√3 = y/x    (1)

This is a unit circle so the hypotenuse = 1.

so sin 150 = y/1 = y

y = 1/2

So substituting in equation (1)

1/2 / x =  -1/√3

-x = √3/2

x = -√3/2.

The value of x in the unit circle is -√3/2.

Option B is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

Since the angle is 150 degrees, we know that it is in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.

Since the circle has a radius of 1, the y-coordinate is sin(150) = 1/2.

To find the x-coordinate, we can use the formula x = cos(θ), where θ is the angle in radians.

To convert 150 degrees to radians, we multiply by π/180:

150 degrees x π/180 = 5π/6 radians

So,

x = cos(5π/6) = -√3/2.

Therefore,

The value of x is -√3/2.

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Answer: The answer you would be looking for is A. D. E.

Step-by-step explanation:

I hope i helped and can i have brainliest please <3

Answer:

I think he made a mistake in the first one

Step-by-step explanation:

Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b)  in the form of (ac+bc).

The expression is:

= 32x - 16

= 8x(4) - 2(8)

= 8(4x - 2)

The error is "both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses"

Thus, Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.

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Answer:

The square below represents one whole.

What percent is represented by the shaded area?

The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?vvvvStep-by-step explanation:

Answer:

x = 155°

Step-by-step explanation:

This is called a vertically opposite angle.

Answer: Most likely it is A

Step-by-step explanation:

Although it should be B, because a non linear function doesn't  have a rate of change. I already looked up this question many times so we know It's NOT C.

The best modeled by a nonlinear function with time as the independent variable is:

The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.

A nonlinear function is one that does not follow a straight line.

In this case, t

A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.

B) describes a constant value, which is a special case of a linear function where there is no change over time.

C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.

D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.

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Answer:

It's 96

Step-by-step explanation:

-The left and right rectangles
5*4=20

(5*4)*2=40


-Triangle (front and back)
8*3/2=12

(8*3)/2*2=24


-Bottom Triangle (base)

8*4=32


-Area
=40+24+32
=96

Answer: 96 in^2

Step-by-step explanation: I took the quiz and got it right!! Hope this helps you, have a beautiful day!! :)

The new monthly salary will be $1,457.50.

You received a monthly salary of $1,375.00

Now by economy expansion, causing wages to increase by = 6%

Increment of the salary = 6% of 1,375.00

[tex]= \frac{6}{100} \times 1,375[/tex]

[tex]= 0.06 \times 1,375 =\$82.50[/tex]

Monthly Salary means Employee's monthly salary, before deductions.

Therefore our new monthly salary would be

[tex]= $1,375.00 + $82.50\\ = $1,457.50[/tex]

Therefore our new monthly salary will be $1457.50.

To learn more about the monthly salary visit:

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The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.

Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.

After a careful reading, the statement is equivalent to the following formula:

x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000

4 · x / 15 = 8000    (1)

Where x is Ram's monthly salary.

The solution of (1) is x = 30000.

To learn more on word problems, we kindly invite to check this verified question: https://brainly.com/question/11240316

Answer:

sample size is the number of individuals in the sample and the sample is 60 guests.

Step-by-step explanation:

She wants to find out the food preferences for the guests, so she surveys 60 guests and discover 45 of those guests prefer chicken and 15 prefer fish.

The sample is 60 guests.

Answer:

x = 10^4 =  10000

Step-by-step explanation:

log(x) = 4

x = 10^4

Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!

The answer is F(t)=30-5t

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.

let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:

F(t)=30-5t

Hence, The answer is F(t)=30-5t

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Answer:

2 & 13

Step-by-step explanation:

The square of 2 plus the prime number 13 add up to 17

[tex]2^{2}+13=4+13 =17[/tex]

Hope this helps

Answer:

Square number = 4

Primer number = 13

Step-by-step explanation:

A square number is the result when a number has been multiplied by itself.

A prime number is a whole number greater than 1 that only has two factors, itself and 1.

List all the square numbers and prime numbers below 17:

Square numbers: 1, 4, 9, 16, ...

Prime numbers: 2, 3, 5, 7, 11, 13, ...

Therefore, the only combination of square number and prime number that sums to 17 is:  4 + 13 = 17

Solution

Square number = 4

Primer number = 13