Answer: 4600
Step-by-step explanation:
Jack divided his fortune of 92,000 into 8 equal parts. This means a part will be equal to:
(92000 ÷ 8) = 11500.
He gave 4 parts to his wife. This means his wife has:
(11500 × 4) = 46000.
1 part to his son means that his son has: (1 × 11500) = 115000.
He gave the last 3 parts and evenly it among 5 charities. This means:
(3 × 11500) = 34500 was shared among 5 charities. Each charity will get: (34500 ÷ 5) = 6900
To calculate how much more money did his son get than the charities will be:
11500 - 6900 = 4600
Answer:
1) 4 2)1/5 X=10
Step-by-step explanation:
Small to large is a fraction
Large to small is a whole number
Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
![AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%285-2%29%5E%7B2%7D%2B%5B6-%28-1%29%5D%5E%7B2%7D%7D)
BC
AC
![AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B%28-1-2%29%5E%7B2%7D%2B%5B4-%28-1%29%5D%5E%7B2%7D%7D)
Now we determine the area of the triangle by Heron's formula:
(1)
(2)
Where:
- Area of the triangle.
- Semiparameter.
If we know that , and , then the area of the triangle is:
The area of the triangle is 18 square units.
Answer:
The correct answer is option C. 75 m³
Step-by-step explanation:
<u>Points to remember</u>
Volume of rectangular prism = Base area * Height
<u>To find the volume of given prism</u>
Here Base area = 15 m² and
Height = 5 m
Volume = base area * height
= 15 * 5
= 75 m³
Volume of prism = 75 m³
Therefore the correct answer is option C. 75 m³
Answer:
y=-1/3x+8 i think
Step-by-step explanation:
