Answer:
a² - b² = 1
Step-by-step explanation:
The given parameters are;
sec 50° = a
cot 40° = b
We note that sec(θ) = 1/cos(θ) and cot(θ) = 1/tan(θ)
a² - b² = sec²50° - cot²40°
Given that sec(90 - θ) = cosec(θ) where; cosec(θ) = 1/sin(θ), we have;
sec²50° - cot²40° = sec²(90° - 50°) - cot²40° = sec²(40°) - cot²40°
sec²(40°) - cot²40° = cosec²(40°) - cot²40°
Also we have;
cosoc²(θ) = 1 + cot²(θ)
Therefore, we have;
cosoc²(40°) - cot²40° = 1 + cot²(40°) - cot²40° = 1
Therefore, where sec(50°) = a and cot(40°) = b, the value of a² - b² is 1.
Jorge walked 25 steps north. then he walked 75 steps south what is Jorges final position
Answer:
If Jorge goes up 25 (positive) and then goes 75 steps south (negative). Then you have to calculate 25-75. This equals -50. We know negative distance is south so he's final position will be 50 steps south.
Step-by-step explanation:
simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)
Answer:
x = [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
5x + 2 (x - 3) = -2 (x - 1)
5x + 2x - 6 = -2x +2
5x + 2x + 2x = 2 + 6
9x = 8
x = [tex]\frac{8}{9}[/tex]
Answer:
The value of x in the given equation is 0.89
Step-by-step explanation:
5x + 2(x - 3) = -2(x - 1)
Distribute 2 to (x - 3)
5x + 2x - 6 = -2(x - 1)
Distribute 2 to (x - 1)
5x + 2x - 6 = -2x + 2
Combine 5x and 2x on the left side of the equation.
7x - 6 = -2x + 2
Add 6 on both side of the equation.
7x = -2x + 8
Add 2x on both sides of the equation.
9x = 8
Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.
x = 0.89
So, the value of x is 0.89
help me im dangered plzzzzzzzzzzzzzzzzzzzz
Answer:
A
Step-by-step explanation:
Hi!
An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.
1/3 * 1/3 * 1/3 = 1/27
NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3
Answer:
Hey there!
93 ÷ 5 can be written as 93/5.
5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]
Let me know if this helps :)
Find the value of x in this equation. 180-5x=140180−5x=140
Answer: 8
Step-by-step explanation:
A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:
[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]
a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19
Which graph best represents the function f(x) = 2(1.5)x? graph of increasing exponential function going through point 0, 2 graph of increasing exponential function going through point 0, 3 graph of increasing exponential function going through point 0, 1 graph of increasing exponential function going through point 0, 4
Graph of increasing exponential function going through point (0, 2)
=======================================================
Explanation:
Assuming you meant to say f(x) = 2(1.5)^x, then we can see the equation is an exponential and it is increasing. It is increasing because the base b = 1.5 is larger than 1.
Plug in x = 0 to find y
y = 2(1.5)^x
y = 2(1.5)^0
y = 2(1)
y = 2
We have x = 0 and y = 2 pair up together meaning (0,2) is on the function curve. This is the y intercept.
Answer:
A. graph of increasing exponential function going through point 0, 2
Step-by-step explanation:
If x is 5, then 6x = _____. please help >-
Answer:
30
Step-by-step explanation:
6x
Replace 'x' with 5.
6(5) =
6 * 5 =
30
Hope this helps.
Answer:
30
Step-by-step explanation:
6 x 5 = 30
Is 7 a solution of 5x - 3 = 12?
Answer:
no
Step-by-step explanation:
5x - 3 = 12
5x=12+3
x=15/5=3
x=3
substitute x with 7 to find if it is a solution :
5(7)-3=12
35-3 ≠12 ( so no 7 is not a solution)
Need help 24 to 28 giving 30 points
Answer:
24 is a and d
25 is c
26 is b
27 is a and b
28 is b
Step-by-step explanation:
The graph of a linear system is shown
Answer:
The coordinates of the point of intersection is (2, 7)
Step-by-step explanation:
From the graph, we have the two intersecting straight lines each described as follows;
The first straight line graph from the left, we have;
y-intercept = (0, 5), x-intercept = (-5, 0) therefore, the slope, m = (0 - 5)/(-5 - 0) = 1
The equation of the graph is slope-intercept form is y - 5 = 1×(x - 0)
Which gives;
y = x + 5.........................(1)
The second lie graph has y-intercept = (0, 9), x-intercept = (9, 0) therefore, the slope, m = (0 - 9)/(9 - 0) = -1
The equation of the graph in slope-intercept form is y - 9 = -1×(x - 0)
Which gives;
y = -x + 9.......................(2)
To find the point of intersection, we equate equation (1) to equation (2), which are the y-value function of x, we have;
x + 5 = -x + 9
x + x = 9 - 5
2·x = 4
x = 4/2 = 2
x = 2
From either equation (1) or equation (2), we can find the value of y as follows;
y = -x + 9, where x = 2 gives;
y = -2 + 9 = 9 - 2 = 7
y = 7
The coordinates of the point of intersection is (2, 7).
A group of architects wish to recreate a modern pyramid like the ones built in
ancient Egypt. This huge monument is designed to have 199 stone bricks in the 5th
layer and 1 stone brick in the 27th and top layer. How many stones will they need to
build the entire pyramid?
Answer:
1,128,330 stones
Step-by-step explanation:
If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.
For each of the following expressions, decide whether it is a polynomial. Explain your answer.
1. x2+3x12 I
2. 13x2y-9y2
3. 3x-3
4. 23t2-1t2
Answer:
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
Step-by-step explanation:
Hope This Helps man
14 POINTER IF YOU HIT THE BULLSEYE!!!!! HELP!
Billy, Bob, and Joe found a question in their test that said this and they NEED HELP!!!!! with flying promises to give brainliest they now wait.......
Answer:
mean would decrease
Step-by-step explanation:
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?
The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
The equation is given as:
[tex]\mathbf{y = 0.5x + 5}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
3rd one i just did it on edge :P
88 feet/second = 60 miles/hour. How many feet per second is 1 mile? (Hint: divide both side of the equation by the same amount.)
Answer:
1 mile/hour is equivalent to 1.47 feet/seconds
Step-by-step explanation:
Given
[tex]88 ft/s= 60 miles/hr[/tex]
Required
Determine the equivalent of 1 mile/hour
[tex]88\ ft/s= 60\ miles/hr[/tex]
Express 60 as 60 * 1
[tex]88\ ft/s= 60 * 1\ mile/hr[/tex]
Divide both sides by 60
[tex]\frac{88\ ft/s}{60}= \frac{60 * 1\ mile/hr}{60}[/tex]
[tex]\frac{88\ ft/s}{60}= 1\ mile/hr[/tex]
Reorder
[tex]1\ mile/hr = \frac{88\ ft/s}{60}[/tex]
Divide 88 by 60
[tex]1\ mile/hr = 1.46666666667\ ft/s[/tex]
Approximate to 3 significant figures
[tex]1\ mile/hr = 1.47\ ft/s[/tex]
Hence;
1 mile/hour is equivalent to 1.47 feet/seconds
What’s 4%x56? 2 A.2.24 B.1.12 or C.0.448
Answer:
A. 2.24
Step-by-step explanation:
Multiply 56 by 0.04
56(0.04)
= 2.24
Answer:
Option A
Step-by-step explanation:
4% * 56 =
0.04 * 56 = (Convert the percent into a decimal.)
2.24 (Multiply)
Hope this helps.
what does -5/7 x 1/5 equal?
Answer:
The answer is -0.04
Step-by-step explanation:
PLEASE HELP 100 POINTS The correlation coefficient for poor hearing and loud music in a group of people is 0.67. Analyze the following statement: Poor hearing is caused by listening to loud music. Is this a reasonable conclusion?
Yes; everyone who listens to loud music has hearing trouble.
Yes; the correlation coefficient is above 0.5, so that implies causation.
No; the data does not suggest causation, and many people who listen to loud music can hear well.
No; poor hearing and listening to loud music are completely unrelated.
No; the date does not suggest causation, and many people who listen to loud music can hear well.
The following information should be considered:
The poor hearing should be arise by listening for loud mousic. So the date should not be recommended and various people should be listen loud music.Learn more: https://brainly.com/question/10309631?referrer=searchResults
Does anyone know this?
Answer:
f(-4) = 92
Step-by-step explanation:
f(x) = 3x^2 - 10x + 4
f(-4) = 3(-4)^2 - 10(-4) + 4
= 3(16) + 40 + 4
= 48 + 40 + 4
= 92
jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum of their new heights.
Answer:
2x+59.
Step-by-step explanation:
Let J represent Jessica's weight and R represent Ronda's weight.
Jessica weighs x+34 pounds. Thus:
[tex]J=x+34[/tex]
Ronda weighs 12 pounds less than Jessica. In other words:
[tex]R=J-12=(x+34)-12\\R=x+22[/tex]
The sum of their weights, therefore, is:
[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]
Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:
[tex]2x+56+3=2x+59[/tex]
The sum of the new [weights] is represented by 2x+59.
HELP ASAP WILL MARK BRAINLIEST!!! Add or subtract. Write your answer in scientific notation. 4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5 3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8 8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
Answer:
see below
Step-by-step explanation:
4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5
All exponent have to have the same number
42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5
Subtract the number
42 - 1.2 - 2.5 = 38.3
Add back the exponent
38.3 * 10 ^5
This is not in scientific notation
Move the decimal one place to the left and add one to the exponent
3.83 * 10^6
3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8
All exponent have to have the same number
3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9
Add the numbers
3.3+2.6+.77 =6.67
Add back the exponent
6.67*10^9
This is in scientific notation
8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
All exponent have to have the same number
8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4
Subtract
8.0 - 3.4 - .12 = 4.48
Add back the exponent
4.48* 10^4
This is in scientific notation
the perimeters of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares
Answer:
Step-by-step explanation:
perimeter of first square = 4 × side = 60 m
∴ side = 60/4 = 15 m
so area = s × s = 15 × 15 = 225 m^2
perimeter of second square = 4 × side = 144 m
∴ side = 144/4 = 36 m
so area = s × s = 36 × 36 = 1296 m^2
Perimeter of the third square = sum of areas of the first and second triangle
= 225 + 1296
= 1521 m
hope this helps
plz mark as brainliest!!!!!
Answer:
Perimeter of new square = 156 m
Step-by-step explanation:
First square:
Perimeter = 60 m
4 * side = 60 m
side = 60/4
side = 15 m
Area of first square = side * side = 15 * 15 = 225 m²
Second square:
Perimeter = 144 m
4 * side = 144 m
side = 144/4
side = 36 m
Area of second square = side * side = 36 * 36 = 1296 m²
New square:
Area of new square = area of first square + area of second square
= 225 + 129
Area of new square = 1521 m²
side * side = 1521
side = √1521 = √39*39
side = 39 m
Perimeter of new square = 4 * 39 = 156 m
WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a car. if they work together for 1 hour and then machine b breaks, how much additional time will it take machine b to finish the job? please use the method 1/x+1/y=1/z
Answer:
It will take Machine A 20 additional minutes.
Step-by-step explanation:
First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.
Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:
5/6 + 1/2x = 1
1/2x = 1/6
x = 1/3 hours = 20 minutes
Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.
Hope this helps! And let me know if you have any questions!
there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row
Answer:
9 people per row
Step-by-step explanation:
63/7=9
let me now if right
David hikes 2 1/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 miles?
Answer:
1 hour= 4.5 miles
18 miles= 4 hours
Step-by-step explanation:
The digits of a 2 digit number differ by 3. Is the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the number?
Answer:
58
Step-by-step explanation:
Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.
If the digits are interchanged the number become 'ba' so 10b + a
We can say that 10a + b + 10b + a = 143
11(a+b)=143
We divide by 13 both sides and we take
a+b = 143/11 = 13
and we know that the digits differ by 3 so b = a + 3
then a + b = a + 3 + a = 2a + 3 = 13
so 2a = 10 and then a = 5
Finally, b = 5+3=8 so the number is 58.
And we can verify that 58 + 85 = 143.
Thanks
Answer:
Let the unit digit be x and tens digit be x + 3Therefore, the original number = 10(x + 3) + xOn interchanging, the number formed = 10x + x + 3❍ According to Question now,
➥ 10(x + 3) + x + 10x + x + 3 = 143
➥ 10x + 30 + 12x + 3 = 143
➥ 22x + 33 = 143
➥ 22x = 143 - 33
➥ 22x = 110
➥ x = 110/22
➥ x = 5
__________________...Therefore,
The unit digit number = x = 5
The tens digit number = x + 3 = 5 + 3 = 8
__________________...The original number = 10(x + 3) + x
The original number = 10(5 + 3) + 5
The original number = 50 + 30 + 5
The original number = 85
Hence,the original number is 85.
these two polygons are congruent. WZ corresponds to.___ BC DA AB CD
Answer: These two polygons are congruent. YX corresponds to CD. The correct option among all the options that are given in the question is the first option or option "A".
"MP" is the one angle or side among the following choices given in the question that is common to TRIANGLE NPW and TRIANGLE OMP . The correct option among all the options that are given in the question is the second option or option "B".
Step-by-step explanation:
Answer:
It's AB
Step-by-step explanation:
give area of a rectangle measuring 12 ft by 9ft and please show all the work
Answer:
Area= 108ft²
Step-by-step explanation:
To find the area of a rectangle, you must do the following formula:
Area= Length × Width
A represents Area
L represents Length
W represents Width
Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:
A= L × W
= 12ft × 9ft
= 108 ft²
Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)
I hope this helps! I'm sorry if it's too complicated.
