Answer:
The area of shaded region is 25.5 units³
Step-by-step explanation:
Step 1 , you have to find the area of rectangle and triangle using the formulas :
Rectangle :
![area = length \times width](https://tex.z-dn.net/?f=area%20%3D%20length%20%5Ctimes%20width)
Let length = 5 units,
Let width = 6 units,
![area = 5 \times 6](https://tex.z-dn.net/?f=area%20%3D%205%20%5Ctimes%206)
![area = 30 \: \: {units}^{2}](https://tex.z-dn.net/?f=area%20%3D%2030%20%5C%3A%20%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
Triangle :
![area = \frac{1}{2} \times base \times height](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5Ctimes%20height)
Let base = 3 units,
Let height = 3 units,
![area = \frac{1}{2} \times 3 \times 3](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5Ctimes%203%20%5Ctimes%203)
![area = \frac{1}{2} \times 9](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%209)
![area = 4.5 \: \: \: {units}^{2}](https://tex.z-dn.net/?f=area%20%3D%204.5%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :
![area = 30 - 4.5](https://tex.z-dn.net/?f=area%20%3D%2030%20-%204.5)
![area = 25.5 \: \: \: {units}^{2}](https://tex.z-dn.net/?f=area%20%3D%2025.5%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
Answer:
11.11% (nearest hundredth)
Step-by-step explanation:
<u>Simple interest formula</u>
A = P(1 + rt)
where:
- A = final amount
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- A = $3500
- P = $2800
- t = 2 years 3 months = 2.25 years
Substitute given values into the formula and solve for r:
⇒ 3500 = 2800(1 + 2.25r)
⇒ 3500 = 2800 + 6300r
⇒ 700 = 6300r
⇒ r = 1/9
Convert the interest rate into a percentage:
⇒ r × 100% = 1/9 × 100% = 11.11% (nearest hundredth)
We want the translation which maps X to X', etc.
If there is one, these will all be equal:
X' - X = (3, -5) - (0,0) = (3, -5)
Y' - Y = (0, -5) - (-3, 0) = (3, -5)
Z' - Z = (0, -1) - (-3, 4) = (3, -5)
They're all equal, and they're all our translation:
X' = X + (3, -5)
That's three units to the right, five down, last choice.
Answer:
Welcome
Step-by-step explanation: