Answer: proportional
Step-by-step explanation: just took the quiz
1. Prove the following trig identity
tan(x/2)=sinx/1+cosx
Step-by-step explanation:
[tex] \tan( \frac{x}{2} ) = \frac{ \sin(x) }{1 + \cos(x) } [/tex]
[tex] \tan( \frac{x}{2} ) = \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } [/tex]
So we have
[tex] \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } = \frac{ \sin(x) }{ \sqrt{1 + \cos(x) } } [/tex]
Next, we then rationalize the numerator so we get
[tex] \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \frac{ \sqrt{1 + \cos(x) } }{1 + \cos(x) } = \frac{ \sin(x) }{ {1 + \cos(x) } } [/tex]
The denominator should be square root so to let you know .
So know we ahev
[tex] \frac{ \sqrt{1 - \cos {}^{2} (x) } }{1 + \cos(x) } = \frac{ \sin(x) }{1 + \cos(x) } [/tex]
[tex] \frac{ \sqrt{ \sin {}^{2} (x) } }{1 + \cos(x) } = \frac{ \sin(x) }{ {1 + \cos(x) } } [/tex]
[tex] \frac{ \sin(x) }{1 + \cos(x) } = \frac{ \sin(x) ) }{1 + \cos(x) } [/tex]
The quotient of a number,g, and the sum of 3e and 5
Answer:
The quotient of a number,g, and the sum of 3e and 5 is 6
Step-by-step explanation:
I hope it's help
If p is inversely proportional to the square of q, and p is 27 when q is 5, determine p when q is equal to 3.
WILL MARK BRAINLIEST PLEASE HELP!!!
p = 75. i just looked it up....
Ayuden por favor. Es de matemáticas! La equation está en la foto
Answer:
A = 0.65
B = 3.304
C = 6.07
Step-by-step explanation:
You have to subtract to the final result the initial one and divide it for the number of segments. Then, for every segment you add the number you found, for example:
Value of a segment:
[tex] \frac{1 - 0.5}{10} = 0.05[/tex]
Value of A:
[tex]0.5 + 3 \times 0.05 = 0.65[/tex]
Hannah was getting ready for a party. It took her 24 minutes to pack her toys to bring and 16 minutes to have lunch. If she was ready to leave at 4:42 p.m., what time did she start getting ready? 3:02 p.m. 4:02 p.m. 4:12 p.m. 5:12 p.m.
Answer:
4:02 pm and Hannah must be like an adult baby or just a 5 year old lollll
Step-by-step explanation:
42 - 24 - 16
4 : 02
Answer:
4:02 pm
Step-by-step explanation:
24 + 16 minutes = 40 minutes in total
4:02 + 40 minutes = 4:42 pm
Frank paid $22.40 for sweatshirt it had been discounted by 30%. What was the regular price of the sweatshirt?
is 5=-2 no infinitely many or 1 solution
Answer:
no solution
Step-by-step explanation:
sara bought 500ml milk bottle if she drink 25% of milk how much ml of milk would be left?
Answer:
500×(25÷100)=125 This is what she drank
500-125=375
she will be left with 375ml
Josh makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours
P = (9dollars/hour) * (h hours)
Hope that helps!
Tanner is walking home from school, which is 9 blocks from his home. He walks 1 block per minute.
Write an equation that shows the relationship between the number of minutes Tanner has been walking, x, and the number of blocks he is from home, y.
Answer:
-x+9
Step-by-step explanation:
Here is the equation that shows the relationship between the number of minutes Tanner has been walking, x, and the number of blocks he is from home, y:
y = 9 - x
What type of equation is this?This equation is a linear equation, and it can be interpreted as follows:
The number of blocks Tanner is from home is decreasing at a rate of 1 block per minute.
The y-intercept of the equation is 9, which represents the number of blocks Tanner is from home when he starts walking.
The slope of the equation is -1, which represents the rate at which Tanner is getting closer to home.
Read more about linear equation here:
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(PLEASE GIVE GOOD ANSWER ILL GIVE BRAINLIEST)
A cornhole board measures 30 inches by 12 inches. The hole has a diameter of 4 inches. What is the probability of a point being on the board but not inside of the hole?
(PLEASE GIVE GOOD ANSWER ILL GIVE BRAINLIEST)
Answer:
3.48%
Step-by-step explanation:
Probability = Area of hole / Area of board
= 3.14 x 2 x 2 / 12 x 30
= 12.56 / 360
= 0.0348
= 3.48%
The letters of the word HAPPINESS are written on cards. One card is chosen random. Find the probability that the letter on the card is
(a) P.
(b) T.
I'll mark you as brainliest
Answer:
There's are nine cards (9 letters in happiness). Of those 9, 2 cards have p on them. So a) = 2/9 there aren't any cards with t on then so b) = 0
Find the volume of a right circular cone that has a height of 11.2m and a base with a diameter of 8.8.
227.1 m³
Explanation:
[tex]\sf \ formula \ of \ volume \ of \ cone \ \ : \dfrac{1}{3} \ \pi \ r^2 \ h[/tex]
[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (4.4)^2 (11.2)[/tex]
[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (216.832)[/tex]
[tex]\sf \hookrightarrow 72.3 \pi \ m^3[/tex]
[tex]\sf \hookrightarrow 227.066 \ m^3[/tex]
[tex]\sf \hookrightarrow 227.1 \ m^3[/tex]
Solution:
We know that:
[tex]Volume \ of \ cone = \pi r^{2} \frac{h}{3} \\\\ Height = 11.2 \ m\\\\ Diameter = 8.8[/tex]
Step-1: Find the radius of the cone.
[tex]Diameter = 2(Radius) \\\\ 8.8 \ m = 2(Radius) \\\\ \frac{8.8}{2} = \frac{2(Radius)}{2} \\\\ 4.4 \ m = Radius[/tex]
Step-2: Substitute the radius and the height in the formula.
[tex]Volume \ of \ cone = \pi r^{2} \frac{h}{3} \\\\ Volume \ of \ cone = (3.14)( 4.4^{2})( \frac{11.2}{3})\\\\ Volume\ of \ cone = (3.14)(19.36)( \frac{11.2}{3}) \\\\ Volume \ of \ cone = \frac{680.85}{3} = \bold{226.95 = 227 \ m^{3} \ (Rounded)}[/tex]
Thus, the volume of the cone is about 227 m³.
Show that the triangles are similar and write a similarity statement.
E
14
27
A
C 18
D
21
B
ZACB4
DC
CE
=
So ΔABC ΝΔ
Answer:
Step-by-step explanation:
Angle ACB is congruent to angle ECD because they are vertical angles.
CE/CB = DC/AC because they are the corresponding sides of the similar triangles
So triangle ABC is similar to triangle DEC.
Brain invests £2500 into his bank account he receives 2.5% per year simple interest how much will Brian have after 5 years give your answer to the nearest penny where appropriate
Answer:
Step-by-step explanation:
Rate of interest = r = 2.5%
The amount invested = P = £ 2500
Number of years = n = 5 years
[tex]Simple \ Interest = P*r*t[/tex]
[tex]=2500*\dfrac{2.5}{100}*5\\\\\\= 25 * 2.5*5[/tex]
= £ 312.5
Amount that Brain will have after 5 years = P + simple interest
= 2500 + 312.5
= £2812.50
I need help with this equation
a child has a box of candies which might have a toy inside. the odds against the box having toys inside are 6/7. what is the probabilty of the box having a toy?
Answer:1/7
Step-by-step explanation:
6 out of every seven have no toys, therefore the odds of a box having toys is 1/7
I will give BRAINLIEST :))
Question 4 mille Choice Worth 5 points)
(LC)
STORIES OF USEFUL INVENTIONS, excerpt
By S. E. Forman
1911
THE MATCH
There never was a time when the word was without fire, but there was a time when men did not know how to Kindle fire and after they teamed how to Kindle one, it was a long, long time before they learned how to kindle one easily
In these days we can kindle a fire without any trouble, because we can easily get a match, but we must remember that the match is one of the most wondertul things in the world, and that it took men thousands of years to kam how
to make one. Let us learn the history of this familiar e object, the match
Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set abtaze by a thunderbolt, we may say that nature strikes a match. In the eany history of the world,
nature had to kindle all the fires, for man by his own effort was unable to produce a spark The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by nature-by a volcano, perhaps, or by a stroke of
lightning These firebrands were carried to the home and used in kinding the fres there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would
sometimes be extinguished a sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.
In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, Chlorate of potash, and sulphid of antimony, and nutbed it on sandpaper, and it burst into fame. The druggist had discovered the first friction
chemical match the kind we use to-day. It is called friction chemical because it is made by miding certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless was not a
good one it could be lighted only by hard rubbing, and it sputtered and the in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now
Delighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub t. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the
match with which we are so familiar
Which does the author mean by nature had to knde as the fires, for man by his own effort was unable to produce a spark?
1. Humans were unable to make fire
2. Nature was unable to make fire
3. Humans were not very intelligent
4. Humans did not try to make fire
Can you please help me with this question using proportions
Answer:
$2520
Step-by-step explanation:
manuel bought the car for 65% of $7200
100-65=35
manuel paid 35% of 7200 for the car.
7200*0.35=2520
Check all the statements that are true: A. The equality relation on the real numbers is an equivalence relation. B. If a relation is symmetric, it cannot be anti-symmetric. C. A relation from a set with n elements to itself can have up to elements. D. If is an equivalence relation, then . E. A function is a special relation. F. If a relation is anti-symmetric, it cannot be symmetric. G. The equality relation on the real numbers is anti-symmetric. H. If is a reflexive relation on a set S, then any two - related elements of S must also be related. I. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric. J. There are relations from a set with n elements to itself.
It can be noted that the true statements about the relations include:
A. The equality relation on the real numbers is an equivalence relation.
C. A relation from a set with n elements to itself can have up to elements.
E. A function is a special relation.
G. The equality relation on the real numbers is anti-symmetric.
H. If is a reflexive relation on a set S, then any two - related elements of S must also be related.
I. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric.
What is a relation?It should be noted that a relation simply means the relationship between the set of values.
The information given about the relations above are true in these cases.
Learn more about relations on:
https://brainly.com/question/26098895
EXplain please ! i will mark brainliest show UR WORKING
Answer:
A
Step-by-step explanation:
Since PQRS is a square, PQ=QR.
[tex]4x + 3 = 41[/tex]
[tex]x = 38[/tex]
[tex]x = 9.5[/tex]
A diagonal of square PQRS creates two isoceles right triangles. So angle PQT measures 45 degrees. We then have:
[tex]2x + 4y = 45[/tex]
[tex]2(9.5) + 4y = 45[/tex]
[tex]19 + 4y = 45[/tex]
[tex]4y = 26[/tex]
[tex]y = 6.5[/tex]
Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)
Answer:
(3x + 1) • (3x - 1)
Step-by-step explanation:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
3[tex]{}^{2}[/tex]x[tex]{}^{2}[/tex] - 1
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 9x[tex]{}^{2}[/tex]-1
Theory : A difference of two perfect squares, A[tex]{}^{2}[/tex] - B[tex]{}^{2}[/tex] can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A[tex]{}^{2}[/tex] - AB + BA - B2 =
A[tex]{}^{2} [/tex]- AB + AB - B2 =
A[tex]{}^{2}[/tex] - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 1 is the square of 1
Check : x[tex]{}^{2}[/tex] is the square of x1
Factorization is : (3x + 1) • (3x - 1)
Final result :
(3x + 1) • (3x - 1)
you can helps me?
f(x) = x + 20
g(x) = x + 5
(f o g) (2) = ?
»(f o g)(2)
find (f o g)(x)»f(g(x))
»f(x + 5)
»x + 5 + 20
»x + 25
so, (f o g)(2) is
»2 + 25
»27✅
Answer:
27
Step-by-step explanation:
f(x) = x + 20
g(x) = x + 5
f(g(x))
= f(x + 5)
f(x + 5) = x + 20 + 5
= x + 25
= 2 + 25
= 27
Which expression is equivalent to the expression 1/2 to the power of 3
A 3x 1/2
B 1/2 + 1/2 + 1/2
C 1/2 x 1/2 x 1/2
D 3 + 1/2
Answer:
C
Step-by-step explanation:
[tex]\dfrac12^3=\dfrac12 \times\dfrac12 \times\dfrac12[/tex]
Answer:
C 1/2 x 1/2 x 1/2
Step-by-step explanation:
(1/2)³ = 1/2 x 1/2 x 1/2
Hope it helps.
Does anyone know the answer to this I will make brainliest
Do you perhaps have a pic of the triangle they are talking about?
A bag contains x white, y red and z blue balls. A ball is drawn at the random, then what is the probability of drawing a blue ball.
Probability of drawinga blue ball = Z/x + y + Z
Step-by-step explanation:Given :- A bag contains x white, y red and z blue balls. A ball is drawn at the random.
To Find :- the probability of drawing a blue ball.
Solution : [tex] \pmb{ \sf{↴}}[/tex]
Number of blue balls = Z
Total balls = x + y + Z
•°• P(a blue ball) = [tex] \pmb{ \sf{\frac{z}{x + y + z} }}[/tex]
~~~✿
The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation of 40.7. (All units are in mg/100mL). Find the two levels that separate the top 9% and the bottom 9%.
Please explain!
Answer:
the levels are 123.5 and 232.7 mg/mL
Step-by-step explanation:
The inverse normal function is used to find limit values from an area (probability).
Your calculator can show these values to you. (see attached)
The top 9% are above 232.7 mg/mL.
The bottom 9% are below 123.5 mg/mL.
__
A suitable calculator can evaluate the inverse normal function to find the x-value corresponding to some area, mean, and standard deviation. For the level that separates the bottom 9% from the rest of the area, we use an area value of 0.09. The mean and standard deviation values are those provided in the problem statement.
For the level that separates the top 9% from the rest of the area, we use an area value of 1 -0.09 = 0.91.
__
The second attachment shows an online calculator that can give the limits on the middle 0.91 -0.09 = 0.82 of the area under the probability curve.
_____
Additional comment
An app version of an approximation to a TI-Nspire calculator is shown in the first attachment. The invNorm function is found at the Distr key (2nd VARS).
For the top 9% we have to find the value x for which
P(X<x) = 0.91
Converted to the standard normal distribution this corresponds to
P(Z<(x-178.1)/40.7) = 0.91
Then: (x-178.1)/40.7 = 1.341
or x = 232.7
For the bottom 9% we have to find the value x for which
P(X<x) = 0.09
Converted to the standard normal distribution this corresponds to
P(Z<(x-178.1)/40.7) = 0.09
Then: (x-178.1)/40.7 = -1.341
or x = 123.5
So the 2 levels that separate the top 9% and the bottom 9% are 232.7 and 123.5.
Solve the triangle, AMDM
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
Rachel, a 45-year-old female, bought a $120,000, 20-year life insurance policy through her employer. Rachel is paid biweekly.
How much is deducted from each of her paychecks for life insurance?
$63.14
$68.40
$81.05
$87.80
Answer: the answer is $63.14.
Step-by-step explanation:
I took the test and got it correct.
Answer:
$63.14
Explanation:
I got it right on the test
Need help with my assignment
Answer:
Step-by-step explanation:
[tex]\frac{(3x+4)(2x-6)}{0}[/tex]=
[tex]6x^{2} -18x+8x-24[/tex]/0
anything divided by zero is not possible so the answer is infinity
