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3 years ago

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?

1 answer:

3 0

Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH

You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.

A = (1/2)(4)(4)
A = 8

** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)
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The area of a rectangular field is 7050m^2. If the width of the field is 75m, what is its length?

sweet [91]

Answer:

Step-by-step explanation: Area =length × width

7050m^2 = X× 75m

7050 =75X

Divide both sides by 75

7050÷75 =75÷75

74m= X

3 0

3 years ago

Sara has $175 and wants to start saving more money so she opens a savings account and deposits the $175 in it to start. The func

GalinKa [24]

Answer:

all real numbers greater than or equal to 175

Step-by-step explanation:

3 0

3 years ago

Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer

musickatia [10]

Answer:

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

$P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16$

The mean number of gallons can be calculated as:

$M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8$

3 0

3 years ago

HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m

Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}$

$P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}$

P = $25,293.

More can be learned about the monthly payments formula at brainly.com/question/26267630

#SPJ1

7 0

2 years ago

7. The bottom of a circular swimming pool

mote1985 [20]

<h2>Hello!</h2>

The answer is:

1017.88 square feet are blue.

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

$Area_{circle}=\pi radius^{2}$

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

$diameter=2radius\\\\radius=\frac{diameter}{2}$

So,

$radius=\frac{36feet}{2}=18feet$

Then, calculating the area we have:

$Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}$

Hence, we have that 1017.88 square feet are blue.

Have a nice day!

4 0

3 years ago

What is the area of a triangle with vertices at (−4, 1) , ​ (−7, 5) ​ , and ​ (0, 1) ​ ?

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?