Answer:
50%
Step-by-step explanation:
6 numbers on a die, 3 of them are odd.
3/6=1/2=50%
Answer:
156
Step-by-step explanation:
Let,
Sandwiches sold by Adam, Matt and Clinton = 2x, 7x and 3x
Total sandwiches = 2x + 7x + 3x
=> 12x
But its given that Matt sold 91 sandwiches
So,
7x = 91
x = 91/7
x = 13
=> Total sandwiches = 12x = 12(13) = 156
Answer with explanation:
Equation of Linear Regression line is
y=1.14 x + 3.805
A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.
for, x=30
y=1.14 × 30 +3.805
y=34.20 +3.805
y=38.005
y=38 (approx)
So, Ordered pair is , (30,38)
Option B
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
We can convert sec(α) to 1 / cos(α):
Multiply both layers of the first fraction by cos(α):
Create a common denominator. We can multiply the first fraction by (1 - cos(α)):
Simplify:
From the Pythagorean Identity, we know that cos²(α) + sin²(α) = 1 or equivalently, 1 - cos²(α) = sin²(α). Substitute:
Subtract:
Distribute:
Rewrite:
Split:
Factor the second fraction, and substitute sin²(α) for 1 - cos²(α):
Factor:
Cancel:
Divide the second fraction by cos(α):
Hence proven.
I might not be correct but i think Perimeter=31. Since the problem tells me that the area is 42 square inches i divided the given area (42 inches) by the given side length (12 inches), and I got 3.5. I did this because the formula for area is a=lw therefore 12×3.5=42 inches. Now that I know the missing measurement of the other side length, I can plug the numbers I have into either one of these equations.
P=SIDE++SIDE+SIDE+SIDE OR P=2(length)+ 2(width). Please let me know whether or not you understand or have any other questions I will be more than happy to answer. Later when you reach 9th grade and become a freshmen you will learn theorems that will help make it a little bit easier and they will also remove A LOT of the algebraic work that's required to solve questions such as this one. My name is Takira and I go to LaGuardia High School for Performing Arts. Please let me know if you have any more questions.
