Find the area of the trapezoid at the right. the left side is 5cm, the the top is 6cm, the side is 5.4cm, and the bottom on the right is 2cm.

Answers

Answer 1

Answer:

Answer:

To find the area of a trapezoid, we can use the formula:

Area = (1/2) × (sum of bases) × (height)

In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:

height² = (side)² - (difference of bases/2)²

height² = 5.4² - (2-6/2)²

height² = 29.16 - 9

height² = 20.16

height = √20.16

height ≈ 4.49 cm

Now we can plug in these values to find the area:

Area = (1/2) × (6 + 2) × 4.49

Area = 4 × 4.49

Area = 17.96 cm²

Therefore, the area of the trapezoid is approximately 17.96 square centimeters.

Step-by-step explanation:

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Freddy reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks:Which equation best models the relationship between x and y?

y = −5x + 40
y = −40x + 280
y = −40x + 200
y = −5x + 200

Answers

Wow, the only thing i can think of is that it gives you y and x, so you're basically plugging in the other numbers. So y = 200 and x = 5, and if you were to plug those numbers into each equation they give you, you would come up with 15, 80, 0, and 175. But you're trying to get y to equal 200, so the closest one is c. I'm sorry that's the only thing i can come up with. The rest just aren't close.

The linear equation that best models the relationship between x and y is y = -40x + 200.

What is the graph of a linear equation?

The graph of a linear equation is a straight line graph and the function of a linear equation assumes a slope-intercept form y = mx + b

where;

Slope = m
y-intercept = b

The slope = rise/run

From the graph, we need to rise 200 units to the origin and run 5 units to the horizontal positive axis.

So,

Slope = -200/5
Slope = -40

The y-intercept is the region at which the line cuts the vertical axis.

y-intercept = (0,200)

Now, putting it all together and using the slope-intercept form, the equation that best models the relationship between x and y is:

y = -40x + 200

Learn more about the graph of a linear equation here:

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Passes through (3,1) ,perpendicular to y=-3x+2

Answers

The equation of line which passes through (3, 1) and perpendicular to y = -3x + 2 is;

⇒ x = 3y

Here,

Given that;

The point is (3, 1).

We have to find the equation which passes through (3, 1) and perpendicular to y = -3x + 2.

What is equation of line passes through a point?

Equation of line passes through a point (a, b) with slope m is;

⇒ (y - a) = m (x - b)

Now,

As it is perpendicular to y = -3x + 2 and the slope of this is m₁ = -3,

Hence, the slope of to find line is m₂ = -1 / -3 = 1/3

We have the general equation of a line;

( y - y₁ ) = m₂ (x - x₁)

Where, ( x₁ , y₁ ) = (3, 1) and m₂ = 1/3

So, after putting all values we get;

( y - 1 ) = 1/3 ( x - 3)

3 (y - 1) = (x - 3)

3y - 3 = x - 3

3y = x

x = 3y

Hence, The equation of line which passes through (3, 1) and perpendicular to y = -3x + 2 is;

⇒ x = 3y

Learn more about the equation of line visit:

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As it is perpendicular to y = -3x + 2 and the gradient of that is -3 we know that the gradient of our line must be -1 / -3 = 1/3.

Now we have the general equation of a line m = (y-y1)/(x-x1) to which we can substitute our values.

1/3 = (y - 1)/(x - 3)
x - 3 = 3 * (y - 1)
x - 3 = 3y - 3
x = 3y

Katie spent $465 on DVDs and CDs. The CDs cost $15 each, and the DVDs cost $19 each. A total of 27 CDs and DVDs were purchased. How many of each did she buy?(solve by substitution or elimination methods only)

Answers

Answer:

12 CDs and 15 DVDs

Step-by-step explanation:

Let

x----> the number of CDs

y---> the number of DVDs

we know that

x+y=27 -----> x=27-y ----> equation A

15x+19y=465 ----> equation B

Solve by substitution

substitute equation A in equation B and solve for y

15(27-y)+19y=465

405-15y+19y=465

4y=465-405

4y=60

y=15 DVDs

Find the value of x

x=27-y

x=27-15=12 CDs

Luke saves 10p coins and 20p coins he has 3 times as many 10p coins as 20p coins a total of 17 pounds how 10p coins does he have ?

Answers

Answer:

10p coins does he have 102

Step-by-step explanation:

given data

saves= 10p coins and 20p coins

total = 17 pounds

to find out

how 10p coins does he have

solution

we consider here no of 20p coin = x

so equation will be here

3 × 10 x +20 x = 1700

30 x + 20 x = 1700

x = 34

so that

10p coins = 3 time × 34 = 102

20p coins = 34

so that 10p coins does he have 102

Answer:

I'm not sure how euros work but I'm almost certain there are 18 20p coins

Step-by-step explanation:

Rewrite each equation below. Then solve your new equation. Be sure to check your solution using the original equation.(n+4)+n(n+2)+n=0

Answers

the answer is on the paper

Ethan‘s bank account listed a balance of $328.80. He originally opened the account with a $200 deposit and a simple interest rate of 4.6% If there were no deposit or withdrawals, how long ago was the account opened

Answers

Answer:

Step-by-step explanation:

$Interest=\frac {PRT}{100}$ where P is principal amount, R is rate in percentage and T is time.

Making T the subject of the formula,

$T=\frac {Interest * 100}{PR}$

For Ethan's case, Interest=$328.8-$200=$128.8

Substituting $128.8 for interest, 4.6% for rate and $200 for P we obtain

T=(128*100)/(4.6*$200)=14

Since the rate wasn't specified whether annually or monthly, the time can be 14 years or 14 months

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