Answer:
1. In the multiplication of the imaginary parts, the student forgot to square of i. OR
2. The student has only multiplied the real parts and the imaginary parts.
Correct value .
Step-by-step explanation:
The given expression is
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.
Student's mistake can be either 1 or second:
1. In the multiplication of the imaginary parts, the student forgot to square of i.
2. The student has only multiplied the real parts and the imaginary parts.
Which is not correct. The correct steps are shown below.
Using distributive property, we get
Therefore, the correct value of is .
This shape would be a rectangular prism, with 4 rectangular sides, and 2 square or smaller rectangular sides.
An example of a rectangular prism would be a brick. It has 4 sides that are perfectly alike, then two other sides that are like each other.
Answer:
4 3/8 cups of baking soda
Step-by-step explanation:
1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,
Cups of baking soda : batches of homemade cleaning
1 3/4 cups : 1 batch
How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?
Let x = total cups of baking soda needed
Cups of baking soda : batches of homemade cleaning
x cups : 2 1/2 batches
Equate the ratios
1 3/4 cups : 1 batch = x cups : 2 1/2 batches
7/4 ÷ 1 = x ÷ 5/2
7/4 × 1/1 = x * 2/5
7/4 = 2/5x
Divide both sides by 2/5
x = 7/4 ÷ 2/5
= 7/4 × 5/2
Cross product
x = 35/8
= 4 3/8 cups of baking soda
Answer:
Step-by-step explanation:
In leftmost triangle:
opposite side =y
adjacent=a
now, we can use trig formula
now, we can solve for y
In rightmost triangle:
adjacent=b
opposite=y
a+b=15
b=15-a
now, we can use trig formula
now, we can solve for y
now, we can set them equal
and then we can solve for a
now, we can find b
now, we can use trig formula
now, we can find z
we can simplify it
and we get