Use the fundamental identities to fully simplify the expression.
tanx sinx+ secx cos^2x. Explain how you do it
Answer:
First, remember that:
[tex]tan(x) = \frac{sin(x)}{cos(x)}[/tex]
and:
[tex]sec(x) = \frac{1}{cos(x)}[/tex]
Then we can rewrite the expression:
[tex]tan(x)*sin(x) + sec(x)*cos^2(x) = A[/tex]
Where A is an equivalent expression.
as:
[tex]\frac{sin(x)}{cos(x)} *sin(x) + \frac{1}{cos(x)}*cos^2(x) = A[/tex]
Then this is:
[tex]\frac{sin^2(x)}{cos(x)} + cos(x) = A[/tex]
Now we can multiply both sides by cos(x), then:
[tex](\frac{sin^2(x)}{cos(x)} + cos(x))*cos(x) = A*cos(x)[/tex]
[tex]sin^2(x) + cos^2(x) = A*cos(x)[/tex]
And we know that the left term of the above equation is equal to 1, then:
[tex]1 = A*cos(x)[/tex]
[tex]\frac{1}{cos(x)} = sec(x) = A[/tex]
And A is equivalent to the original expression, then we get:
[tex]tan(x)*sin(x) + sec(x)*cos^2(x) = sec(x)[/tex]
The simplification of the expression is sec(x)
what is 28.3 percent of 100?
Answer:
28.3%
Convert fraction (ratio) 28.3 / 100 Answer: 28.3%
You had it all along. If it is out of 100 then it is the same score you have.
Answer:
seems like a F if ur talking about grade wise. if not then its 28.3%.
Mr. Lopez had $75, he bought a gift for his wife for $45. What
percentage of his money did he spend on the gift for his
wife?
DUE TODAY
help I will give u extra points
Question is in the photo
Answer:
Step-by-step explanation:
I want to say the 2nd one.
2nd and 4th one are equivalent to the initial equation but it asks for the expotential equation is equivalent so i figured the 2nd one has the exponents. Sorry can't be of more help. Thats the one i would choose.
Which expression is equivalent to
(5-2)(54)?
O
126
1
125
1
5
O
1
125
126
1
05
Answer:
3 times 54 is 162. It's impossible to understand your answer choices in the way they're showing up. Can you send a picture?
Step-by-step explanation:
cual es la antiderivada de f (x)=3x-4?
If f(x)=3x and g(x)=1/x what is the domain of (gof)(x)?
Answer:
f=7x g=3 x=18
Step-by-step explanation:
Question 3 of 10
What is the measure of the reference angle for a -289° angle?
A. 19°
B. 89°
C. 71°
D. 289°
SUBMIT
Answer:
The answer is 71 degrees
Step-by-step explanation:
Answer:
C. 71°
Step-by-step explanation:
In order to find its reference angle, we first need to find its corresponding angle between 0° and 360°. This is easy to do. We just keep subtracting 360 from it until it's below 360. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°).
In this case, our angle is -289°. 360 - 289 = 71°
A. Write an inequality for which 3, -4, 0, and 2,300 are solutions B. How many total solutions are there to your equality?
Answer:
-4 ≤ x ≤ 2,300
If x is a real number, we have infinite solutions.
if x is an integer number, we have 2,305 solutions.
Step-by-step explanation:
We want to write an inequality such that the numbers:
3, -4, 0, and 2,300 are solutions.
If we order these numbers from smallest to largest, we get:
{-4, 0, 3, 2,300}
Then we can write an inequality like:
-4 ≤ x ≤ 2,300
You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.
Now, how many solutions does this inequality has?
if x is a real number, then we have infinite solutions.
if x is an integer, then the total number of solutions will be equal to:
number of negative solutions (4)
number of positive solutions (2,300)
the number zero (1)
Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.
Then the inequality solution will be -4 ≤ x ≤ 2,300. If x is a real number, we have infinite solutions. if x is an integer number, we have 2,305 solutions.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A. Write an inequality for which 3, -4, 0, and 2,300 are solutions that will be
If we order these numbers from smallest to largest, we get:
{-4, 0, 3, 2,300}
Then we can write an inequality like:
-4 ≤ x ≤ 2,300
You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.
B. The number of the solution to the inequality will be
We have limitless solutions if x is a real number.
If x is an integer, the set of possible solutions will be
The number of negative solutions (4)
The number of positive solutions (2,300)
The number zero (1)
Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ5
The graph of a power function in the form y = abˣ is shown below. Which of the following must be true about the values of a and b
a < 0 and b is odd
a > 0 and b is odd
a < 0 and b is even
a > 0 and b is even
Answer:
sorry i dont know this answer
Can I have help with this question?
Answer:
angle 1 will be 64° and angle 2 will be 116°
Choose 1 answer: A Vertical angles B. Complementary angles C Supplementary angles D None of the above
Answer:
Complementary angles
Step-by-step explanation:
When two angles add up to 90°, they are Complementary to each other.
Here, ∠DAB = 90° (right angles)
It means, ∠DAB = ∠BAE (vertically opposite angles)
Also, ∠BAE = a + b
So, a+b is equal to 90°. Hence, the correct option is (b) "Complementary angles".
How do you solve this? Or what’s the answer?
Answer:
6.7
Step-by-step explanation:
Make a proportion (similar triangles):
(15) / (10+x) = 6/x
15x = 60 + 6x
9x = 60
x = 6.7
a salt container has the shape of cylinder the radius of the container is 1.5 inches and the height is 6 inches what is the surface area of the container?
HELP ME ITS DUE IN 30 MINUTES AND I NEED HELP IM PUTTING ALL MY FAITH IN YOU
Answer:
3 units. no change in y, only a difference of 3 in x :)
Mr. Herron drives for .9 hours (54 minutes) to reach El Rancho every day for work. If his average speed was 25 miles/hour, how far does Mr. Herron live from El Rancho?
what would the answer to this be?
Answer:
B because for ASA to work the side has to be surrounded with the angles and <ACD = <CAB has to be true and for
SAS to work the angle has to be surrounded by sides so
AD = BC has to be true.
Hope this helped and brainliest please
May so someone please help from 7-10 it’s 11 points I think
Answer:
7 / 2, or 3.5 is between 3 and 4.
28 / 5, or 5.6 is between 5 and 6
9/4, or 2.25, is between 2 and 3.
28 / 5, or 4.6, is between 4 and 5.
Step-by-step explanation:
To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:
2 * (1/2)
Set 2 as 2/1 (because they are equal)
(2/1) * (1/2)
Then, multiply the numerators together and denominators together.
= 1
But, we can also save time and multiply the non-fraction with the fraction's numerator.
2 * (1/2) =
(2 * 1) / 2 =
2 / 2 =
1
Let's apply this to the problems we have.
7) 5 * (7/10)
Multiply 5 and 7.
(5 * 7) / 10 = 35 / 10 = 7 / 2
This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.
7/2 = 3.5
7 / 2, or 3.5 is between 3 and 4.
8) 7 * (8/10)
Multiply 7 and 8.
(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6
28 / 5, or 5.6 is between 5 and 6
9) 3 * (3/4)
Multiply 3 and 3.
(3 * 3) / 4 = 9 / 4 = 2.25
9/4, or 2.25, is between 2 and 3.
10) 6 * (4/5)
Multiply 6 and 4.
(6 * 4) / 5 = 23 / 5 = 4.6
28 / 5, or 4.6, is between 4 and 5.
I hope this helps! Feel free to ask any questions!
1. A train at a carnival covers a distance of 4 miles in 20 minutes. How
far does the train travel in 80 minutes?
find the length of the radius
Answer:
6
Step-by-step explanation:
Use the given information combine with the Pythagorean theorem to set up an equation. The Pythagorean theorem states that ([tex]a^2 + b^2 = c^2[/tex]), where (a) and (b) are the legs of the right triangle (sides that are adjacent to the right angle); and (c) is the hypotenuse (the side opposite to the right angle). Substitute in the given values in the problem,
[tex]a^2 + b^2 = c^2[/tex]
Substitute,
[tex]QO^2 + QP^2 = PO^2[/tex]
[tex]x^2 + 8^2 = (4+x)^2[/tex]
Simplify, distribute
[tex]x^2 + 64 = x^2 + 8x + 16[/tex]
Inverse operations,
[tex]x^2 + 64 = x^2 + 8x + 16\\-x^2\\\\64 = 8x + 16\\-16\\\\48 = 8x\\/8\\\\6 = x[/tex]
mr. walter is remodeling his house and wants to design a rectangular garden in the backyard. the width of the garden, W(A), in feet, is modeled by this equation, where A is the area of the garden, in square feet. (equation shown in image)
What is the rate of change of the garden’s width when the garden’s are changes from 289 square feet to 400 square feet?
Answer:
Step-by-step explanation:
It’s d sir
Answer:
correct option is D
Step-by-step explanation:
what is a counterexample for the following conjecture if a counterexample does not exist choose not possible conjecture all quadrilaterals are rectangles
Answer:
Step-by-step explanation:
Find the area of triangle whose vertices are (1,8)(6,6) and (- 5,-7)
Answer: 38
Step-by-step explanation: srry if its wrong.
Answer:
Its 43.5 units squared
Step-by-step explanation:
I tried the other guys who answserd answer and got it wrong look at the hint and it said that this is the correct answer
what fraction has the same value as 8/24
Answer:
8/24 = 1/3
Step-by-step explanation:
divide numerator and denominator by 8
If 3/4 container of paint covers 3/5 of a wall, which statement is true? a.It takes 114 containers of paint to cover the entire wall because 34÷35=114. b.It takes 229 containers of paint to cover the entire wall because 34÷35=229. c.The entire container of paint covers 920 of the wall because 35÷34=920. d.The entire container of paint covers 23 of the wall because 35÷34=23.
Answer:
Step-by-step explanation:
i nedd the answers
yo tenia $200, mi mamá tenia $100. mi papá me dió $300. mi tio y mi tia me dieron $1,000 y yo tenia otros $500, cuántos tenia?
Answer:
RESPUESTA: 700
Step-by-step explanation:
El problema dise que el tenía 200 y su mamá 100 más no dise que le dio sus tíos le dieron mil y el tenía otros 500 y la pregunta en si dise
cuantos tenía. Se refiere a pasado y no a cuanto tiene actualmente.
Así que 200 más 500 igual a $700
Bella invested $7,400 in an account paying an interest rate of 5 3/8 % compounded continuously. Lily invested $7,400 in an account paying an interest rate of 5 3/4% compounded quarterly. After 17 years, how much more money would Lily have in her account than Bella, to the nearest dollar?
Answer:
$1078
Step-by-step explanation:
You want to be able to withdraw $20,000 each year for 15 years. Your account earns 10% interest. give answer no links
Answer:
Interst is $30,000
Total Money is $50,000
Step-by-step explanation:
$20,000 x 0.10(divided by 100 since its percent) x 15 = 30,000
You earn $30,000 from interest alone
$30,000 + $20,000 = $50,000
The total amount of money you will have is $50,000
2.
Suppose you are making a giant chocolate chip cookie for a raffle. You roll out
a square slab of cookie dough. Then you use a circular plate that touches the
edges of the square slab of cookie dough and cut the cookie out of the dough.
What is the area of the extra dough? Write your answer in factored form.
Please read "Step-by-step" if you're having trouble
Answer:
x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])
Step-by-step explanation:
Each side of the cookie dough is x long, since there is no given number, the diameter of the plate is also x, its as long as the square is wide, making the radius 1/2x.
The area of the cookie dough is x², the area of the plate is 1/4[tex]\pi[/tex]x².
You have the equation x²- [tex]\frac{1}{4}[/tex][tex]\pi[/tex]x²the equation has a Greatest Common Factor of x² so your factored equation is x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])
Brad has 24 strands of blue holiday lights and 32 strands of white holiday lights. He wants to make displays of lights for customer's yards. Each display must have the same number of strands in it. Without mixing colors, what is the greatest number of strands of lights that Brad can put in each display?
Answer:
He could make 8 strands of 3 blue strands and 4 white strands lights