Answer:
π/4, or 3π/4
Step-by-step explanation:
dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2
Tangent line is horizontal, so dy/dx = 0
1-2(sinx)^2 = 0
(sinx)^2 = 1/2
sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]
Between 0 and pi, sinx >0
so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]
x = π/4, or 3π/4
Translate the sentence into an equation.
Six less than the product of 4 and a number equals 2 .
Use the variable c for the unknown number.
Answer:
(4xc)-6=2 then c=2
Step-by-step explanation:
because we knew that we had to do 6+2=8 so then 8 divided by 4 = 2 so the answer would be 2!
Answer:
(4c) - 6 = 2
4c - 6 = 2
c = 2
Both equations will work.
Step-by-step explanation:
"The product of 4 and a number" is the same as 4 times that number.
Since the missing number is to be said as c, the correct term for this is 4c
6 less than (4c) is the same as (4c) - 6
We have the left-hand-side of the equation as (4c) - 6
The right-hand side is 2
(4c) - 6 = 2or4c - 6 = 2Now, we have to solve for c.
-Chetan K
The graph below shows y as a function of x.
What is the relationship between x and $y$ in the graph?
A
As x increases, y increases.
B
As x increases, y decreases.
C
As x increases, y increases, then y decreases, then y increases again.
D
As x increases, y decreases, then y increases, then y decreases again.
Answer:
As x increases, y increases, then y decreases, then y increases again.
Step-by-step explanation:
The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The graph has the following coordinates.
(0, 0), (3, 3), (4, 0), (5, -4), and (9, 0)
Now,
We see that,
From (0, 0) to (3, 3),
y increases as x increases.
And,
From (3, 3) to (4, 0).
y decreases as x increases.
And,
From (4, 0) to (5, -4).
y decreases as x increases.
And,
From (5, -4) to (9, 0).
y increases as x increases.
Thus,
The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
Please help will give 50points
Answer:
a=10
Step-by-step explanation:
Using Pythagoras theorem
[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]
[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]
simplify:
[tex] {a}^{2} - 12a + 20 = 0[/tex]
(a-2)(a-10)=0
hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative
What is the area of the shaded part of the figure if x=8 ft? Use 3.14 to approximate π. A square with side lengths x feet. A quarter circle with radius x feet is cut out of the square. x=8 ft Area of a quarter circle =14 πx2 CLEAR CHECK ft2
The area of the shaded part of the figure is; 114.3ft²
Area of a quarter circle and a squareFrom the task content:
It follows that the area of the shaded portion of the figure is the sum of the area of the square and the quarter circle.The area of the square is;
A(square) = x² = 8² = 64ft².The area of the quarter circle is;
A(quarter circle) = (1/4)πx² = 1/4×22/7 × 8²A(quarter circle) = 50.3ft².
Ultimately, the area of the shaded part of the figure is; 50.3ft² + 64ft² = 114.3ft².
Read more on area of quarter circles;
https://brainly.com/question/2193853
Answer:
13.76
Step-by-step explanation:
I got it right :)
Solve ? (0.7 + y) times 8.7
8.7(0.7+y)
expand
6.09+8.7y
where do you get .28 from ?
Answer:
Percentage.Fraction.Step-by-step explanation:
0.28 is like a percentage.
If so, then you can use 2 examples:
0.28 * 32.28% of 32.The most simple way of getting it is fractions.
2 examples:
28/10028/100 * 32.How do you evaluate 35/a. When a =7
Answer:
5
Step-by-step explanation:
[tex]35/a[/tex], when a = 7
Substitute
[tex]35/7[/tex] [tex]=5[/tex]
Answer:
5
Step-by-step explanation:
You substitute 7 for a in the equation.
35/a ——> 35/7
Evaluate it and your answe is 5.
I hope it helps! Have a great day!
Lilac~
6. A car traveled 30 kilometers for 2 hours, what is its speed? A. 15.0km/h B. 28.0km/h C. 30.0km/h C. 60.Okm/h
answer :b
Answer:
A. 15.0km/h
Step-by-step explanation:
30km/2hr = 15km/hr
Answer:
A. 15.0km/H hope this helps
factorize 35-12x + x^2
Answer:
[tex]35-x(12-x)[/tex]
Step-by-step explanation:
[tex]35-12x+x^2=35-(12x-x^2)[/tex]
Factor out x from the parenthesis
[tex]35-x(12-x)[/tex]
Hope this helps :)
Have a nice day!
Answer:
[tex](x - 7)(x - 5[/tex]
My solvation is on the picture, Hope it helps and brainliest if correct.
Write as a mathematical expression: The product of 5 and x, increased by 3
Answer:
[tex]5x + 3[/tex]
Step-by-step explanation:
(5 × x) - Product of 5 and x
=5x
increased by 3
5x +3
Inscribed Angles
if angles ABC measures 70 what does angles ADC measure?
Answer:
35 degrees
Step-by-step explanation:
Assuming B is the center of the circle, the measure of arc AC is 70 degrees since the measure of a central angle is equal to the measure of the arc it intercepts.
This means that by the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the arc it intercepts, the measure of the desired angle is 35 degrees.
An airplane flies
170 miles in 2 hours
42 minutes. What is
its average speed in
miles per hour?
Answer:
The average speed is 62.96mph. Hope this helps! :)
Step-by-step explanation:
I was not in class when we did this and i have no idea what the answer is so if someone could help that would be wonderful
Answer:
12 < x < 13
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a is 6, b is 11, c is x.
We have to first replace the items in the Theorem, do the exponents, then add.
1) 6^2 + 11^2 = x^2
2) 36 + 121 = x^2
3) 157 = x^2
To finally solve it we must square root everything
4) sqrt(157) = sqrt(x^2)
5) x = 12.52
So x has to be between 12 and 13
A rectangle has an area of 20 square feet and a length of 6 feet.What is its width?
Answer:
The width would be 3.33 feet. I got this answer by dividing 20 by 6. The area of a Rectangle is (Length times Width) so 6 times 3.33 = 20.
Step-by-step explanation:
what is 1.9 to the second power in expanded form?
Answer:
[tex] {1.9}^{2} = 1.9 \times 1.9 = 3.61[/tex]
Answer:
[tex]1.9 {}^{2} [/tex]
[tex]=1.9 \times 1.9[/tex]
[tex] = 3.61[/tex]
PLEASE HELP ME I think i know the answer but im not sure
Answer:
2537
Step-by-step explanation:
3/5 of 4,283.30 = 2569.98
2569.98 - 19.99 = 2549.99
2549.99 - 12.99 = 2537
Do you need to regroup I ten as 10 ones? Explain
Answer: no because that is like
Find the area of following figures
Answer:
AB=8
CD=7
EF=2.4
FA=2
SOLN
ab+cd+ef+fa
8+7+2.4+2
19.4
help plsssssssssssss
Answer:
27+72x
Step-by-step explanation:
ous5ourskhrskysr
turn 55% in to fraction
Answer: Your answer is 55% = 11 / 20
Hope this helps!
Answer:
11/20
Step-by-step explanation:
Step 1: We represent the given number as a fraction by dividing it by 100.
Hence, we write it as 55/100.
Step 2: Simplify the fraction by using common factors of numerator and denominator.
Now, 55% can be written as 55 / 100.
On simplifying the above fraction:
55 / 100 = 11 / 20 [Dividing numerator and denominator by their greatest common factor, that is 5.]
Therefore, 55% can be represented as 11/20 in fractional form.
[RevyBreeze]
The temperature in a city at 5:00 AM was 10 below zero. By noon, the temperature had increased 5 degrees. What is the temperature at noon?
could you write 378972 with commas
Yes, It can be written with commas
It will be,
[tex]378 , 972[/tex]
Remeber that: Comma is always put after interval of three numbers. First three, Then three and so on...~giving brainliest for answering this one question~
Answer: 3 minutes 50.51 seconds
Step-by-step explanation:
10/100 of a second = 0.1 second
So the American's time = 3 minutes 50.61 second - 0.1 second
= 3 minutes 50.51 seconds
I need some help with this as well
in not sure if it would be correct but i think it would be c because the lines would eventually cross through eachother
Step-by-step explanation:
What is the slope of the line that passes through the points (6,−5) and (-6, -5)
Answer:
0
Step-by-step explanation:
Slope can be conceptualized as rise over run.
To get rise, you can see the difference between the two 'y' coordinates. In this case, it's 0 (-5 and -5). At this point, since the numerator of our [tex]\frac{rise}{run}[/tex] fraction is 0, you know it's just gonna be 0 no matter the value of the run.
A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?
NO LINKS!!!
Solution:
Note that:
4x/5 ÷ 3 = 1 pattySolve for x to find the weight of each patty.
4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 pattyThe weight of a patty is 4/15 of a pound.
Answer:
4/15
Step-by-step explanation:
Hope this helps! Sorry if I am wrong.
Which sides can make a triangle the question is in the photo
Answer: I believe it is 10cm 9cm 9cm
Step-by-step explanation:
Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side
x^5=243
what is the formular to the equation.
Answer:
x = 3
Step-by-step explanation:
x^5 = 243
Take the fifth root of each side which is the same as raising each side to th 1/5 power. Also, 243 = 3^5.
x^5 = 3^5
(x^5)^(1/5) = (3^5)^(1/5)
x = 3
Answer:
3
Step-by-step explanation:
x^5= 243
I guess we're looking for x
so what we do is just find the fifth root of 243
and that's 3
A field is a rectangle with a perimeter of 1110 feet. The length is 100 feet mora than the width. Find the width and length of the rectangular field
Answer:
W: 455 ft
L :.655 ft
Step-by-step explanation:
I did the math if it's wrong I'm so sorry but I'm 99.9% sure it's right.
PLEASE HELP ME PLEASE ITS DUE TODAY
$3.13 is the answer like it please thanks