[tex]\mathrm{Solving}\: \mathrm{prove\:2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1}\\steps \\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1\\\mathrm{Manipulating\:left\:side}\\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)\\=-1+2\cos ^2\left(x\right)\sec ^2\left(x\right)\\=1[/tex]Answer:
Step-by-step explanation:
Which of the following number sentences is true?
A -9=9
B-9=-(9)
C 9=(-9)
D 9=-(-9)
Answer:
A and D are the true number sentences
pls help its due soon
Which is 4 logx- 2 log(x-3) written as a single logarithm?
Answer:it’s C
Step-by-step explanation:
That’s the answer on edge
Find the surface area of the right prism :
Answer:
336 in²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)H
Where,
b = 6 in
h = 8 in
s1 = 10 in
s2 = 6 in
s3 = 8 in
H = 12 in
Surface area of triangular prism = 6*8 + (10 + 6 + 8)12
= 48 + (24)12
= 336 in²
Help with these questions please!
Answer:
1) c = 25 cm
2) a = 11.532562594 cm
I hope it's helps you
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]c = \sqrt{{a}^{2} + {b}^{2} }[/tex]
7.
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ c = \sqrt{ {24}^{2} + {7}^{2} } \\ c = \sqrt{625} \\ c = 25[/tex]
8.
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {13}^{2} - {6}^{2} } \\ a = \sqrt{133} \\ a = 11.5[/tex]
(cor. to the nearest tenth)
Which equation best represents the relationship
between x and y in the graph?
FOR BRAINLSIT!!
Answer:
I've never had to deal with this before but I would say C
Answer:
The best option is C ( y=(1/4) x +3)
Solve the equation. 3 -x+3-2x +2x+5
Answer:
hi
Step-by-step explanation:
hiiii
Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right 80 percent of the time when he says that a randomly chosen suspect is lying. Dalgliesh says that Jones is lying. The polygraph expert, who is right 100 percent of the time, says that 40 percent of the subjects interviewed by Dalgliesh are telling the truth. What is the probability that Jones is lying?
Answer:
The probability that Jones is lying is 6/7
Step-by-step explanation:
First we will list out 2 different cases when the outcome is a lie
1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8
So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48
2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie
So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08
Total probability of outcome being a lie is 0.48+0.08=0.56
But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7
A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of the line?
I'm just gonna so you how I got it
Step-by-step explanation:
6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.
Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:
3*4 + 6*10 - a = 0
12 + 60 - a = 0
72 = a
3x + 6y - 72 = 0.
We can simplify this by dividing all numbers by 3, getting:
x + 2y - 24 = 0
PLS HELP FAST NO LINKS
32 Ib 12 oz=_Ib
A.32.5
B.32.75
C.33
D.44
Answer:
option C
Step-by-step explanation:
12 Is 1 pound
so 32 plus 1 is 33
I hope this helped!
Tell whether each number is rational or irrational.
0.121121112..
Assuming that the ".." at the end of the number represents it being continuous, then it would be irrational.
0.121121112.. is an irrational number but not rational.
What is Number system?A number system is defined as a system of writing to express numbers.
0.121121112... is rational or irrational is to consider its decimal representation and whether it is a repeating or terminating decimal.
We can see that 0.121121112... is not a terminating decimal because it goes on forever.
Additionally, it is not a repeating decimal because there is no fixed pattern of digits that repeats continuously.
Therefore, we can conclude that 0.121121112... is an irrational number.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12, x = -4.
Step-by-step explanation:
x² - 8x - 48 = 0.
This factors to (x - 12)(x + 4) = 0.
Proof:
(x - 12)(x + 4) = 0
first: x * x
outer: 4 * x
inner: -12 * x
last: -48.
first: x²
outer: 4x
inner: -12x
last: -48
x² + 4x - 12x - 48
x² - 8x - 48.
To find the zeros, take the individual pairs and find the values that make the equation 0.
x - 12 = 0
Add 12 to both sides.
x = 12.
x + 4 = 0
Subtract 4 from both sides.
x = -4.
Answer:
x= 4 + 2√5, x = 4 - 2√5
Step-by-step explanation:
So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).
Pls answer this for me. How many paving stones, each 1m long and 80cm wide, are needed to cover a compound 13.6m long and 11m wide?
Answer: 187
Step-by-step explanation:
Given
Dimension of stone is [tex]1\ m\times 80\ cm[/tex]
Dimension of compound [tex]13.6\ m\times 11\ m[/tex]
Area of the stone
[tex]\Rightarrow a=1\times 0.8=0.8\ m^2[/tex]
Area of compound
[tex]\Rightarrow A=13.6\times 11=149.6\ m^2[/tex]
No of the stones needed is
[tex]\Rightarrow n=\dfrac{A}{a}\\\\\Rightarrow n=\dfrac{149.6}{0.8}\\\\\Rightarrow n=187[/tex]
Thus, 187 stones are needed
is 3 a factor of twelve? write yes or no and give a reason for your answer
Answer:
YesStep-by-step explanation:
[tex] \frac{12}{3} = 4 \\ 3 \times 4 = 12[/tex]
Twelve can be used to divide 3 without having a remainder.
Answer:
yes
Step-by-step explanation:
The factor of 12 are:
1, 2, 3, 6, 12
PLEASE HELP.
Which TWO statements below are true about a polygon
. A quadrilateral is a polygon
. A ☆is a polygon.
A triangle is a polygon.
A circle is a polygon.
Answer:
2
Step-by-step explanation:
A quadrilateral is a polygon and A triangle is a polygon. I think
Pls help ! Find the value of x .
Answer:
101
Step-by-step explanation:
180-79=101
have a great day
Answer:
the value of x is 101 degrees
Write the equation of a circle that has a center of (-2, 1)
and a radius 3.
Answer:
Step-by-step explanation:
(x + 2)^2 + (y -1 )^2 = 3^2
(x + 2)^2 + (y -1)^2 = 9
I have used Desmos to draw this for you. Notice that the center is not (2, -1) but is at -2,1 just as the question requested. The signs are always reversed when the center of a circle must be obtained by squaring the numbers in parenthesis.
Further two points are shown. The one you should pay attention to is (-2,4) which is 3 units away from the center. The other point is also 3 units away, but you have to use the distance formula which you may not be familiar with. If you measure it with a ruler, you will find it is the same distance away from the center as (-2,4) is Since they are equal, they both must represent the length of the radius.
Please answer this asap
Step-by-step explanation:
F) Nine hundred thirty two and 76 hundredth
hope it is helpful to you
In order to move in to a rental house, Sky and Max must pay a deposit of $1,500. At the end of one year, Sky and Max have spent a total of $11,280 on their rental costs. How much did they pay for their monthly rent payment? a. $750 b. $815 c. $940 d. $1,065 Please select the best answer from the choices provided A B C D
Answer:
It would be B. 815.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
On edge
in 1980 Kim was 16 and Anna was 8. When was Kim age four times Anna's age?
Answer:
48 and prob in 1984
Step-by-step explanation:
In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there
Answer:
There are 7 total family members.
Step-by-step explanation:
The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.
Based on your knowledge of how to find the volume of prisms, how would you find the volume of a cylinder?
At the candy store, Sophie filled a bag with 2 2/3 kilograms of candy. 1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?
Answer:
The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.
Step-by-step explanation:
Sophie filled a bag with 2 2/3 kilograms of candy.
This means that the total weight is of:
[tex]2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}[/tex]
The total weight is of 8/3 kilograms.
1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?
1/4 of 8/3. So
[tex]\frac{1}{4} \times \frac{8}{3} = \frac{1*8}{4*3} = \frac{2}{3} = 0.6667[/tex]
The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.
Solve
270.6 is 16 1/2% of what number?
WILL GIVE BRAINLIST
Answer:
165 po ang sagot
Step-by-step explanation:
yan po talaga ang sagot
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.
Answer:
12-c
Step-by-step explanation:
This is quite simple
We know grandma has made 96 cookies and IF all children 8 receive equal cookies
They would have 12 cookies each
Cindy got c less cookies
so we can say
12-c is what Cindy got
I guess grandma got hungry
Answer:
Step-by-step explanation:
98 = 8 = 12
cindy cookies = 12-c
A wire is stretched from the top of a 12 ft pole to a point on the ground 9 feet from the base of the pole. Find the length of the wire.
Answer:
with 3 lenght
Step-by-step wexplanation:
What’s the slope??? Pleas help!!!
Answer:
-1/3
Step-by-step explanation:
Use this equation : slope= y2-y1/x2-x1
if 10 men can do a piece of work in 3 days. how long will it take 5 men to do?
Find the approximate Perimeter of a regular hexagon that has an area of 36 mi2 and an apothem of 3.2 mi.
Area = 36 mi2
Answer:
Parameter of given regular hexagon = 22.32 mi (Approx.)
Step-by-step explanation:
Given:
Area of given regular hexagon = 36 mi²
Find:
Parameter of given regular hexagon
Computation:
Area of regular hexagon = [(3√3)/2]a²
[(3√3)/2]a² = 36
a² = [36 x 2] / 3√3
a² = [12 x 2] / √3
a² = 24 / √3
a² = 8√3
a² = 8 x 1.732
a² = 13.856
Side a = 3.72 mi (Approx.)
Parameter of given regular hexagon = 6 x Side
Parameter of given regular hexagon = 6 x 3.72
Parameter of given regular hexagon = 22.32 mi (Approx.)
please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.
Answer:
105
Step-by-step explanation:
< 7 is also 105- they are alternate exterior angles