Answer:
let's start.
Step-by-step explanation:
[tex]\frac{(1+tanx)}{sinx} -secx = cscx\\[/tex]
we can write it as
[tex]\frac{(1 + tanx)}{sinx} = cscx + secx[/tex]
starting with left hand side
LHS
[tex]\frac{(1 + tanx)}{sinx}[/tex]
[tex]\frac{1}{sinx} + \frac{tanx}{sinx}\\\\cscx + tanx *\frac{1}{sinx}\\\\cscx + \frac{sinx}{cosx} *\frac{1}{sinx}\\\\cscx + \frac{1}{cosx}\\\\cscx + secx[/tex]
∴ LHS = RHS
hence, proved
Answer:
See below
Step-by-step explanation:
(1 + tanx)/sinx - secx = cscx1/ sinx + tanx/ sinx - 1/cosx = cscx1/ sinx + sinx/ cosx × 1/sinx - 1/ cos x = cscx1/ sinx + 1/cosx - 1/cosx = cscx1/ sinx = cscxcscx = cscxSubject: Add Maths
Please answerr.
x-2 is a factor of x^3+ax^2+bx-4. Express b in terms of a.
The answer is b=-2-2a but can someone please show the working?
Answer:
ax2+x3+bx−4
Step-by-step explanation:
Henry rolls 2 number cubes numbered one through six while playing his favorite boardgame. He will get a second turn if he rolls a sum that is an even number less than 10. What are Henry’s chances of getting a second turn when he rolls a number cube?
Answer:
Henry's chances of getting a second turn when he rolls a number cube is 7/18
Find the values of x and y
Can someone help?
Answer:
[tex](x,y) = (65^\circ, 50^\circ)[/tex]
Step-by-step explanation:
Let all values denote degrees.
By the exterior angle theorem, [tex]x + y = 115[/tex]. Moreover, because we are dealing with an isoceles triangle, [tex]y = 180 - 2x[/tex]. Substituting this into the former equation gives [tex]180-x=115[/tex] and as such [tex]x=65[/tex]. Because [tex]x + y = 115[/tex] we now also know that [tex]y=50[/tex].
Answer:
x° = 65° & y° = 50°.
Step-by-step explanation:
115° = x° + y° ( exterior angle property )
Let's name that angle to the right of 115° as 'a'.
a = 180 - 115 = 65°. (linear pair)
Now we know that the triangle is an isosceles triangle. (given)
So this makes x° also as 65° (equal sides make equal angles).
This leaves behind y°.
y° = 180 - (65+65) = 50°.
So, x° = 65° & y° = 50°.
Hello guys I just wanted to know the answer or this problem, Meredith rented a bike from Bubba's Bike Shack. They charged $2 per hour. Meredith paid $26. Which equation could be used to find h, the number of hours Meredith rented the bike? Thanks for reading, and help me please
The height of the real table is
48 inches. What is the height of the table in the scale model?
Find the value of x. A) 71 B) 72 C)73 D)75
Answer:
C 73
Bcs straight line is 180ns9 the angle should be 34.
So you equate 34=-39+x and u get x as 73
Answer:
C) 73
Step-by-step explanation:
180-146=34
-39+x=34
x=73
Henry Millie and Francis each have a savings account at the bank angry has $500.00 in his savings account Millie has $50.00 and Francis has $5,000.00 which correctly describes the value of their Banks
A. Henry has 1/10 as much money in his account as Francis and Millie have in their accounts
B. Henry has 10 times as much money in his account as Francis and Millie have in their accounts
C. Millie has 1/10 as much money in her account as Henry has in his account and a 100 times as much money as Francis has in her account
D. Francis has 10 times as much money in her account as Henry has in his account and a 100 times as much money as Millie has in her account
Answer:
d
Step-by-step explanation:
Write down the possible values for n:
-15 < 3n ≤ 6
Step-by-step explanation:
Move all terms that do not contain nn from the middle section of the inequality.
−5 <n≤2 - 5 <n≤2
Answer:
- 4, - 3, - 2, - 1, 0, 1, 2
Step-by-step explanation:
Given
- 15 < 3n ≤ 6 ( divide the 3 intervals by 3
- 5 < n ≤ 2
Thus n can have values from - 4 to 2, that is
- 4, - 3, - 2, - 1, 0, 1, 2
Expand: -1/3(-2x-21)
Answer:
Step-by-step explanation:
Simplifying
3(2x + -1) = 21
Reorder the terms:
3(-1 + 2x) = 21
(-1 * 3 + 2x * 3) = 21
(-3 + 6x) = 21
Solving
-3 + 6x = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 6x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 6x = 21 + 3
6x = 21 + 3
Combine like terms: 21 + 3 = 24
6x = 24
Divide each side by '6'.
x = 4
Simplifying
x = 4
Answer:
2/3x + 7s
Step-by-step explanation:
-1/3 ( -2x - 21) = -1/3 * (-2x) - (-1/3) * 21 = 2/3x - (-7) = 2/3x + 7s
#5. Carlos buys a pair of shoes for $51.49 and a board game for $17.65. He pays with $80.00. How much change does he get back?
Solve the given equation. 8k = 40
k =
To find k, divide both sides by 8:
k = 40/8
k = 5
Answer:
k=5
Step-by-step explanation:
8k=40
k=40÷8
k=5
therefore k is equal to 5
Expand using the distributive property -2(2 +3x)
Answer:
-4 - 6x
Step-by-step explanation:
-2 (2 + 3x)
-4 - 6x
Is this correct? (Click on picture to see it fully.)
Thanks.
Answer:
h = (3 - x)/2
Your answer is not correct.
Step-by-step explanation:
⅓(x + 2h) + 1 = 2
Subtract 1 from both sides;
⅓(x + 2h) + 1 - 1 = 2 - 1
This gives;
⅓(x + 2h) = 1
Multiply both sides by 3;
⅓(x + 2h) × 3 = 1 × 3
This gives;
x + 2h = 3
Subtract x from both sides to get;
2h = 3 - x
Divide both sides by 2 to get;
h = (3 - x)/2
Which is better to buy, 6 CD's for $12 or 8 CD's for $14.50?
Answer:
8 CDs for $14.50
Step-by-step explanation:
We have to divide both of the numbers by the number of CDs. Our formula is:
(price) ÷ (number of CDs) = price per CD
When we divide both of the prices by the number of CDs, we see that 6 CDs for 12.00 is worse because it is 2.00, whereas the inflation is lower when you compare to the other rate. You get $1.81.
Point B is the midpoint of AC, and point C is the midpoint of AD. If CD=12, what is AB?
Answer: AB = 6
Step-by-step explanation:
If CD = 12 , AC also = 12
B is the midpoint of AC so one side = 6
AB is one side of AC , so AB = 6
I am not a professional, I am simply using prior knowledge!
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The Distance between AB will be 12 units
ConceptFirst we will find the distance between point A and CAfter that we will divide the distance between A and C by 2 to find ABWhat are steps to solve this problem?The steps are as follow:
Distance between CD is given which is 12 unit To find AC we will double the distance between CD because C is midpoint of ADSo distance AC is given by:AC = 2 x CD = 2 x 12 = 24 units
To find AB we will divide the AC by 2 because B is midpoint of ACSo distance AB is given by:AB = AC/2
AB = 24/2 = 12 units
So Distance between points AB will be 12 units
Learn more about multiplications and division here:
https://brainly.com/question/251701
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The Taylors have a square rug in their living room that is "x" feet long on each side. The room is 3
feet wider and 5 feet longer than the rug. Write an expression to describe the perimeter of
the living room.
Answer:
[tex]Perimeter = 4x+16[/tex]
Step-by-step explanation:
Given
[tex]Rug=x[/tex]
Required
Determine the perimeter of the room
The room is 3ft wider.
So:
[tex]Width = Rug + 3[/tex]
[tex]Width = x + 3[/tex]
The room is 5ft longer,
So:
[tex]Length = Rug + 5[/tex]
[tex]Length = x + 5[/tex]
The perimeter is:
[tex]Perimeter = 2 * (Length + Width)[/tex]
[tex]Perimeter = 2 * (x+5+x+3)[/tex]
Collect Like Terms
[tex]Perimeter = 2 * (x+x+5+3)[/tex]
[tex]Perimeter = 2 * (2x+8)[/tex]
[tex]Perimeter = 4x+16[/tex]
The diameter of the wheels on xavires bicycle is 80 cm . Calculate the circumference of the wheels
Answer:
80*3.14
Step-by-step explanation:
let diameter d=80cm
circumference c = d*pi = d*3.14 = 80*3.14
* HELP* A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number
Answer:
Total copies sold= 486,585
Step-by-step explanation:
Giving the following information:
Number of copies sold in the first month= 39,900
% of copies sold in the first month= 8.2%
To calculate the total number of copies sold, we need to use the following formula:
Total copies sold= Number of copies sold in the first month/% of copies sold in the first month
Total copies sold= 39,900 / 0.082
Total copies sold= 486,585
X/3 - 8 = 3 x=___ help
Answer: x=3
Step-by-step explanation:
Given
x/3-8=3
Add 8 on both sides
x/3-8+8=3+8
x/3=11
Multiply 3 on both sides
x/3 ×3=11×3
x=33
Hope this helps!! :)
Please let me know if you have any quesitons
AKS 46 - Graphs of Quadratics 1 point 3. Given f(x) = -3x2 + 5, what is the range of the function? A. all real numbers less than or equal to 5 B. all integers less than or equal to 5 C. all nonnegative real numbers D. all nonnegative integers ОА OB Oc Oo
Answer:
Step-by-step explanation:
Any value of x not equal to zero decreases the function from its maximum of 5 when x=0. So the range of the function is (-oo, 5] So all real numbers less than or equal to five.
Only 30 of Jahanna's 40 customers receive the newspaper on Sunday's. If it takes her 50 minutes to deliver to 40 customers on other days, how long will it take her to deliver the paper to 30 customers?
Answer: 37.5 minutes
Step-by-step explanation:
It takes Jahanna 50 minutes to deliver to 40 customers.
On Sunday however, she has to deliver to only 30 customers.
Assume that the amount of time it will take her is x minutes and use direct proportion:
50 minutes : 40 customers
x minutes : 30 customers
Cross multiply:
40x = 50 * 30
40x = 1,500
x = 1,500/40
x = 37.5 minutes
lots of pointssssss :)
do each part pls (u will be reported if u do not thank)
(4,803) · 95
Noah has 4 bags of marbles with the same number in each bag.
If there are 536 marbles altogether, how many marbles are in each bag?
explain:
Answer:
134 in each bag
Step-by-step explanation:
536 divided by 4
Is the first question correct pls correct me if I’m wrong pls pls help on the chart and the last question which is how many hours will he have to work to get $186
Answer:
First one is correct. The second is 20 hours
Step-by-step explanation:
20 hours
Use synthetic division to divide the polynomials.
(6a^3 – 4a^2 + 7a+ 2)/
(a - 2)
Answer:
Step-by-step explanation:
2_| 6 -4 7 2
12 16 46
6 8 23 48
6a^2 + 8a + 23 + 48/(a - 2)
Mr. Lucas mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Answer:
Mr. Lucas mowed more, 8/20 he mowed. His son mowed 5/20. They need 7/20 more to be mowed 20/20 - 13/20 = 7/20
Look at the expression below. Tell whether each
tatement about its value is True or False.
Answer:
true
Step-by-step explanation:
1 2/5 a = 19 1/4 please help!
Answer:
a=13 3/4 (13.75)
Step-by-step explanation:
1 2/5a=19 1/4
a=19 1/4÷1 2/5
a=19 1/4÷7/5
a=19 1/4x5/7
a=77/4x5/7
a=385/28
a=13 21/28
a=13 3/4
the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t ssecond
A 8= t/32
B s=32t
C s=32-t
D s=t+32
Answer:
B s=32t
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The cost of hiring a surfboard involves an up-front fee plus an hourly rate. Three hours of hire costs $50 and 7 hours costs $90. Sketch a graph of costs, $C, for t hours of hire using the information given above.
Answer:
...... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
What is the circumference of a circle if the radius is 6.7500
Use 3.1415 as pi
Round to the nearest 1000th
Answer:
Circumference of a circle is C=2 pi r =2(3.1415) (6.7500)=42.4575
Step-by-step explanation
C= 42.4575 , now round to the nearest 1000th...= 42.5000