How to find the diagonals of a parallelogram?

Answers

Answer 1
Answer: Well you draw a diagonal line across the parallelogram and then do the pythogorean theroem with the base and height and you'll have the hypotenuse/diagonal

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A diver is swimming at an elevation of -40 feet relative to sea level. The sea floor is 2 3/4 times deeper than the diver: What is the elevation of the sea floor relative to sea level?

Answers

Answer:

-110 feet

Step-by-step explanation:

the elevation of the sea floor relative to sea level can be found by muktiplying the divers elevation by the given factor

to calculage the elevation of the sea floor, we first need to find the elebation of the diber relativeto sea level. Given that the diver's elevation is -40 feet, we can use this as our starting point.

to find the elevation of the sea floor level, we multiply the divers elevation ny 1 3/4. Let's convert 2 3/4 to make an improper fraction to make the calculation easier

2 3/4 is equivalent to (2*4+3) / 4= 11

-40* 11/4 = 440/4 = -110 feet.

therefore the elevation of the sea level is -110 feet

The function f(x) = –2(x – 10)(x – 200) represents a company's monthly profit as a function of the number of items sold, x. What is the maximum monthly profit?

Answers

expand
f(x)=-2x^2+420x-4000
in form
f(x)=ax^2+bx+c
vertex (highest or lowest point, depending on graph)
vertex is -b/2a that is the x value
to find the profit, plug that x value back in

f(x)=-2x^2+420x-4000
-b/2a=-420/(2)(-2)=-420/-4=105

x min valu is 105
input to find profit
f(105)=-2(105-10)(105-200)
f(105)=-2(95)(-95)
f(105)=18050

max profit is $18050

Answer:

$18050 Is your answer

Step-by-step explanation:


Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months.a.
$93.32
b.
$95.40
c.
$211.33
d.
$253.60

Answers

Answer:

The monthly payment is $93.32 ⇒ answer a

Step-by-step explanation:

* Lets explain how to solve the problem

- The monthly payment is (P(r))/(1-(1+r)^(-n) )

  where:

# P is the loan amount

# r is the rate per period in decimal

# n is the number of periods

- The loan is $3000

- We need to find the monthly payment

P = $3000

- The compound monthly interest is 7.5% for 36 months

∵ The period is 12 (1 year = 12 months)

- Divide the rate as a decimal by 12

r=(7.5)/(100(12))=0.00625

r = 0.00625

n = 36

* Lets calculate the monthly payment using the rule above

∵ Monthly payment = ((3000)(0.00625))/(1-(1+0.00625)^(-36))=93.32

The monthly payment is $93.32

Answer:

$93.32

Step-by-step explanation:

If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?

Answers

The correct answer for the question that is being presented above is this one: "C. a bell-shaped curve, better known as a normal distribution." If the weights of 1,000 adult men in a county are plotted on a histogram, the curve will most probably be a bell-shaped curve, better known as a normal distribution.

Here are the following choices:
A. a U-shaped curve, better known as a normal distribution
B. a star-shaped curve, better known as a normal distribution
C. a bell-shaped curve, better known as a normal distribution
D. a bell-shaped curve, known as an exponential distribution

Answer: C) a bell-shaped curve, better known as a normal distribution

Step-by-step explanation:plato only

Isabel wants a coat that costs $60. She has saved $42. What fraction of the amount she needs has she saved ?

Answers

Simple.....

you have this fraction...

(42)/(60)

simplify...

42/6=7
and
60/7=10

Thus...(7)/(10)

Thus, she has saved (7)/(10) of the money.

Solve x2 + 20x + 100 = 36 for x.a. x = –16 or x = –4
b. x = –10
c. x = –8
d.x = 4 or x = 16

Answers

x² + 20x + 100 = 36⇒ x² + 20x + 100 - 36 = 0⇒ x² + 20x + 64 =0

Δ = b²-4ac = 20² -4·1·64 = 400-256 = 144

x₁= (-b+√Δ)/2a = (-20+√144)/2·1 = (-20+12)/2 = -8/2 = -4
x₂= (-b-√Δ)/2a = (-20-√144)/2·1 = (-20-12)/2 = -32/2 = -16

x=-4 or x=-16

The solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

What is a quadratic equation?

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = (-b \pm√(b^2-4ac))/(2a)

We have an quadratic equation:

x² + 20x + 100 = 36

\rm x^2+20x+64=0

a = 1, b = 20, and c = 64

\rm x_(1,\:2)=(-20\pm √(20^2-4\cdot \:1\cdot \:64))/(2\cdot \:1)

After solving:

x = 4 or x = -16

Thus, the solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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