Answer:
see explanation
Step-by-step explanation:
using the identities
tanx = [tex]\frac{sinx}{cosx}[/tex] , cscx = [tex]\frac{1}{sinx}[/tex] , secx = [tex]\frac{1}{cosx}[/tex]
consider left side
tanx × cscx
= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ( cancel sinx on numerator/ denominator )
= [tex]\frac{1}{cosx}[/tex] × 1
= secx = right side
Harvey the wonder Hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate find his average speed in kilometers per hour
let's firstly convert the mixed fractio to improper fraction.
[tex]\stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} Km s&Hour\\ \cline{1-2} \frac{19}{6}&\frac{1}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{19}{6}~~}{x}~~ = ~~\cfrac{~~ \frac{1}{4}~~}{1}\implies \cfrac{~~ \frac{19}{6}~~}{\frac{x}{1}}=\cfrac{1}{4}\implies \cfrac{19}{6}\cdot \cfrac{1}{x}=\cfrac{1}{4} \\\\\\ \cfrac{19}{6x}=\cfrac{1}{4}\implies 76=6x\implies \cfrac{76}{6}=x\implies \cfrac{38}{3}=x\implies 12\frac{2}{3}=x[/tex]
What is the solution for the following equation 2(y+3) squared
Answer:
2y² + 12y + 18
Step-by-step explanation:
2(y + 3)²
First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:
(a + b)²
(y + 3)²
y² + 2*y*3 + 3²
y² + 6y + 9
Dont forget the 2:
2(y² + 6y + 9) <== distribute and multiply
2y² + 12y + 18
Hope this helps!
Need some help with a math problem. The problem is: The figure is made by attaching semicircles to each side of an 11 ft-by-11-ft square. Find the area, in square feet, enclosed by the figure. Use 3.14 for pi. Round to the nearest whole number.
what is the mean of this data set
56,87,90,42,36,77
Answer:
64.7 when rounded up to one decimal place
Step-by-step explanation:
I dont understand this to save my life, Please help !
Which ordered pair is the solution to the system of linear equations y=-7x+2 and y = 9x-14?
(-5.1)
(1.-5)
(5.-1)
(-1,5)
Which angles are corresponding angles
Answer:
second option is correct onee
Step-by-step explanation:
mark me brainliest
Which expressions are equivalent to 3(6+b)-(2b + 1)?
Select two answers.
Step 1 - Use the distributive property and pick your first answer
Step 2 - Combine like terms and pick your second answer.
Answer:
18+3b-2b-1
b+17
Step-by-step explanation:
[tex]\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(2b+1\right)=-2b-1[/tex]
[tex]=3\left(6+b\right)-2b-1[/tex]
[tex]=18+3b-2b-1[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3b-2b+18-1[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:18-1=17[/tex]
[tex]=3b-2b+17[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3b-2b=b[/tex]
[tex]=b+17[/tex]
[RevyBreeze]
Bryan is trying to catch up with his friends during a road trip they are 100 miles ahead of him and driving 50 mph Bryan is driving 75 mph to try and catch up
How do you find the surface area of a cube if one side measures 10cm? show your solution.
Answer:
600 cm squared :)
Step-by-step explanation:
Surface area of cube: 6 x s^2
Now lets solve!!
6 x 10^2
6 x 100
600
Have an amazing day!!
Please rate and mark brainliest!!
Which two expressions are equivalent?
29
А
x + x + x and x3
B
14x + 10 - 2x and 16x + 10
C
12x + 16x and 4(3x + 4x)
D
12x2 + 5x + 10 and 17x2 + 10
Answer:
[tex]12x+16x~ \text{and}~ 4(3x+4x)[/tex]
Step-by-step explanation:
[tex]4(3x+4x) =4\cdot 3x +4\cdot 4x= 12x + 16x[/tex]
Find the area of the parallelogram. 24 cm 9cm 8 cm
find p if t=6 years , r=12% and I=$240
Answer:
the future value would be 473.72 if p is referring to future value
if p is referring to present value it is 121.59
if p is referring to payment it is 58.37
Step-by-step explanation:
you can use spreadsheets to solve this equation using =pmt/=fv/=pv
Step-by-step explanation:
[tex]s .i = \frac{prt}{100} [/tex]
[tex]240 = p \times \frac{12}{100} \times 6[/tex]
[tex]240 = \frac{18}{25} p[/tex]
[tex]240 \div \frac{18}{25} = p[/tex]
[tex]p = 333.3333[/tex]
65 brainleiest! Can someone help?!
Answer:
m∡EFG = 139°, and m∡ IFH = 49°
Step-by-step explanation:
We know that vertical angles are congruent so we can say that
∡EFG ≅∡DFH and that ∡EFD≅∡GFH
Congruent angles have the same measure therefore
∡EFG = ∡DFH = 6x+25 and
∡EFD = ∡GFH = 2x+3
Use that all those angles add up to 360° to find x
∡EFG +∡GFH +∡DFH + ∡EFD = 360°, substitute the given measures
6x+25 +2x+3 + 6x+25 +2x+ 3 = 360 , combine like terms
16x + 56 = 360, subtract 56 from both sides
16x = 304, divide both sides by 16
x = 19
m∡EFG = 6x +25 , substitute x with 19 and calculate
m∡EFG = 6·19 +25
m∡EFG = 139°
m∡ IFH = 90°- m∡GFH, substitute m∡GFH with 2x+3
m∡ IFH = 90°- (2x +3), substitute x with 19
m∡ IFH = 90°- (2·19 +3)
m∡ IFH = 90°- 41
m∡ IFH = 49°
Evaluate (8+t)^3 - 6 minutes when T=2
Answer:
994
Step-by-step explanation:
Answer:
994
Step-by-step explanation:
Given the expression
[tex](8+t)^{3}-6[/tex]
Also given
[tex]t=2[/tex]
We can substitute 2 for t.
[tex](8+2)^{3}-6[/tex]
Do the parenthesis first.
[tex]8+2=10[/tex]
Therefore
[tex]10^{3}-6[/tex]
Evaluate [tex]10^{3}[/tex]
[tex]10^{3}=1000[/tex]
[tex]1000-6=994[/tex]
Let f be the function defined by 1 2 1 1 4 3 2 f x( ) = x − x + x − x 4 3 2 2 . For how many values of x in the open interval (0, 1.565) is the instantaneous rate of change of f equal to the average rate of change of f on the closed interval [0, 1.565] ?
There are three values of x where the instantaneous rate of change of f(x) are equal in the open and closed intervals
How to determine the number of x values?The function is given as:
[tex]f(x) = \frac 14x^4 - \frac 23x^3 + \frac 12x^2 - \frac 12x[/tex]
Calculate f(0)
[tex]f(0) = \frac 14 * 0^4 - \frac 23 * 0^3 + \frac 12 *0^2 - \frac 12 * 0[/tex]
[tex]f(0) = 0[/tex]
Calculate f(1.565)
[tex]f(1.565) = \frac 14 * 1.565^4 - \frac 23 * 1.565^3 + \frac 12 *1.565^2 - \frac 12 * 1.565[/tex]
[tex]f(1.565) = -0.613[/tex]
The average rate of change is then calculated using:
[tex]m = \frac{f(1.565) - f(0)}{1.565 - 0}[/tex]
This gives
[tex]m = \frac{-0.613 - 0}{1.565 - 0}[/tex]
[tex]m = -0.392[/tex]
Differentiate the function f(x)
[tex]f'(x) = x^3 - 2x^2 + x - \frac 12[/tex]
Set f'(x) to [tex]m = -0.392[/tex]
[tex]x^3 - 2x^2 + x - \frac 12 = -0.392[/tex]
From the graph of the above equation (see attachment), we have three values of x at:
x = 0.1492, x = 0.5614 and x = 1.2894
Hence, there are three values of x in the open interval (0,1.565)
Read more about instantaneous rate at:
https://brainly.com/question/24592593
To be a member at sal's gym, there is a one-time sign-up fee plus a monthly fee for each month of membership. the table shows the total cost to be a member of the gym for different numbers of months.
i dont really kno what to do.
Answer:
Step-by-step explanation:
rearrange the equation to the letter on the left side until you find an equation equal to one of the answers
The entire rectangle below has an area of 36 ft2. Find the area of the shaded triangle. Be sure to include the correct unit in your answer.
A rectangular prism has a length of 11ft, a height of 4ft, and a width of 3ft. What is its volume, in cubic ft?
Please help me and tysm!
Answer:
200
Step-by-step explanation:
156.7
since the number before the hundred is more than 4
it becomes 200
Which set of side lengths forms a right triangle?
A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4
Answer:
A. 6,8,10
Step-by-step explanation:
For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:
a(2 + b(2= c(2
A. 6,8,10
6(2 + 8(2 = 10(2
36 + 64 = 100
100 = 100
Bingo!
(For example lets solve the rest)
B. 2,4,6
2(2 + 4(2 = 6(2
4 + 16 = 36
20 ≠ 36
Nope.
C. 1,2,3
1(2 + 2(2 = 3(2
2 + 4 = 9
6 ≠ 9
No again!
D. 2,3,4
2(2 + 3(2 = 4(2
4 + 9 = 16
13 ≠ 16
Not this one.
Therefore our answer is A.
help me pls (2x+3) (x+5)
Answer: C
Step-by-step explanation:
[tex]\left(2x+3\right)\left(x+5\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]=2xx+2x\cdot \:5+3x+3\cdot \:5[/tex]
[tex]$$Simplify[/tex]
[tex]=2x^2+13x+15[/tex]
Determine the equation of the circle with center (-7,7)(−7,7) containing the point (-2,-5)(−2,−5)
Circular equations are often organized in the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](h,k)[/tex] is where the circle is centered[tex]r[/tex] is the radiusTo find the equation of a circle given its center and a point:
Plug the center into the general equation as (h,k)Plug the given point into the general equation as (x,y)Solve for r²Plug (h,k) and r back into the original equationSolving the QuestionWe're given:
Center: (-7,7)Point: (-2,-5)Plug the center into the general equation:
[tex](x-(-7))^2+(y-7)^2=r^2\\(x+7)^2+(y-7)^2=r^2[/tex]
Plug in the given point (-2,-5) and find r²:
[tex]((-2)+7)^2+((-5)-7)^2=r^2\\(5)^2+(-12)^2=r^2\\25+144=r^2\\r^2=169[/tex]
Plug the center and radius back into the original equation:
[tex](x-h)^2+(y-k)^2=169\\(x+7)^2+(y-7)^2=169[/tex]
Answer[tex](x+7)^2+(y-7)^2=169[/tex]
Using positive and negative integers, find four pairs of integers with a sum of 5.
Answer:
-8, 13
-3, 8
6, -1
10, - 5
Step-by-step explanation:
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many
Answer:
infinitely many
Step-by-step explanation:
5x+3(x-1)=10x-2x-3
5x+3x-3=10x-2x-3
8x-3=8x-3
A car normally sells for $20,000 is on sale for $16,000. The sales tax is 7.5%.
What percent of the original price of the car is the final price?
Answer:
86% of original (with tax included)
Step-by-step explanation:
(16 000 x 1.075) / 20 000 x 100% = 86 %
Calculatep the perimeter of the figure
Answer:
76 m
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).
The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.
Second, to find the perimeter of almost every shape, we add all of the sides together.
18+4+8+4+8+4+18+12
This gives the answer of 76 m. (don't forget the label!)
Determine the simplified expression for (5^2)(5^1/4)(5^-1)
A: 125^5/4
B: 5^-1/2
C: 5^5/4
D: 15^-1/2
Answer:
C is the answer please
C. 5^5/4
The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answer: 6
Step-by-step explanation:
The length of all sides of the square ceiling is 15 ft
Perimeter of the ceiling = 4 * length of each side = 15 * 4 = 60 ft
Distance from one corner to another corner i.e. BD and AC (in the figure below) forms the diagonals of the square ceiling
We know that,
Diagonal of a square = √(2) * a , where a is the length of the side of the square.
Therefore,
BD = AC = 15 √(2)
Thus,
Total crepe paper required = Perimeter of the ceiling + BD + AC = 60 + 15 √(2) + 12 √(2) = 102.43 ft
Crepe paper in each roll = 20 ft
Therefore,
Number of rolls required = 102.43 / 20 = 5.1215
Therefore, the minimum number of rolls she should buy is 6
