Which equation can be used to solve for in the following diagram?
3.
30°
Choose 1 answer:
3x = 30
© 3.r +30 +90 = 180
3x + 30 = 90
90 3.2 - 30
Answer:
[tex] \boxed{3x\degree = 30\degree} [/tex]
Explanation:
Vertically opposite angles are equal.
Verify which of the following are identities.
Answer:
Only the second equation is an identity
Step-by-step explanation:
1)
[tex]1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta[/tex]
This one is not an identity.
2)
[tex]19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta[/tex]
This one is an identity. Therefore, only the second equation is an identity. Hope this helps!
Answer:
the person above me is right :)
Step-by-step explanation:
A movie complex with 3 theaters has a total capacity of 800 seats. There are 270 seats in Theater 1. There are 150 more seats in Theater 2 than in Theater 3. How many seats are in Theater 2?
Answer:
340
Step-by-step explanation:
No. of seats in theater 1 = 270
Let the no. of seats in theater 3 be x
given that
There are 150 more seats in Theater 2 than in Theater 3.
no. of rooms in theater 2 = no. of rooms in theater 3 + 150
x + 150
Total numbers of seats in all the theater = 270+ x + x+150 = 2x + 420
It is also given that total capacity is 800 seat
thus
Total numbers of seats in all the theater = 800
2x+420 = 800
=> 2x = 800 - 420 = 380
=> x = 380/2 = 190
Thus, no of rooms in theater 3 is 190.
No. of rooms in theater 2 is x + 150 = 190 + 150 = 340 ---> Answer
Please I need a answer for 5,6,7, and 8 !!! Please ill mark you as brainliest
Answer:
5. 48
6. 33
7. -16
8. -7
Step-by-step explanation:
[tex]5. \\8(10-4)=\\80-32=\\48[/tex]
[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]
[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]
[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]
Which equation represents the line that passes through (-8.11) and
(4,7/2)?
Answer:
[tex]y=-5/8x+6[/tex]
Step-by-step explanation:
[tex]m=\frac{7/2 - 11}{4--8}[/tex]
[tex]m=\frac{-15/2}{12}[/tex]
[tex]m=-5/8[/tex]
[tex]y=-5/8x+b[/tex]
[tex](-8,11)[/tex]
[tex]11=-5/8 \times -8+b[/tex]
[tex]b=11-(-5/8)(-8)[/tex]
[tex]b=6[/tex]
PLEASE HELP !!!!!! PLEASE
Answer: D. (I, II, and III)
Step-by-step explanation:
having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win
not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)
if a quadrilateral is a square, it is also a rhombus
Answer:
It is D.
Step-by-step explanation:
If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.
If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.
All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).
The queen received a diamond brooch for her birthday. The largest gem weighed 5.1 carats. There were three other gems that weighed 0.7 carats, 1.4 carat, and 2.6 carats. What was the total weight of the gems?
Answer:
9.8 carats.
Step-by-step explanation:
5.1 + 0.7 + 1.4 + 2.6
= 9.8
Decide whether the equation is a function, not a function, linear but not a function, or a linear function. Choose the best option.
8x-3y=-2
а
b
Function
Not a Function
Linear But Not a Linear Function
Linear Function
С
d
Answer:
Linear Function
Step-by-step explanation:
8x-3y = -2
-3y = 8x-2
3y = -8x+2
y = [tex]\frac{-8x+2}{3}[/tex]
y = [tex]-\frac{8}{3}x+\frac{2}{3}[/tex]
Linear Function
A line passes through (−1, 7) and (2, 10) what is the equation of the line?
Answer:
−x+y=8
there you go!
Hope it helps!
A ∩ B = ∅. P(B) = .9 P(A ∪ B) = .9. Find P(A).
Answer:
Given: P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.
We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=> 0.9 = P(A) + 0.9 - 0
=> P(A) = 0.9 - 0.9 = 0
Hope this helps!
:)
A basket has at most 150 applies in it. Then the number of apples in the basket if the number of apples satisfy the following conditions If counted in pairs, one remains; If counted in threes, two remains; If counted in fourss, three remains; If counted in fives, four remains; If counted in sixes, five remains; If counted in sevens, nothing remains; (A) 116 (B) 117 (C) 118 (D) 119
Answer:
Number of apple = 119
Step-by-step explanation:
Given
[tex]Max_{Apple} = 150[/tex]
Required
Find the actual number of apples;
When counted in any numbers, the number being counted is the divisor;
Take for instance, when counted in pairs, the divisor is 2
When counted in threes, the divisor is 3
and so on...
So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor
This means that the number of apple must satisfy the following conditions
Less than 1501 less than the Common Multiple of 2,3,..,6Divisible by 7The common multiple of 2,3,..6 are 60, 120 ,180,240.....
Recall that, these multiples must satisfy the three conditions above;
1. Less than 150: Only 60 and 120 satisfy condition.
At this point, we'll discard other numbers (180,240,300.....)
2. 1 less than the Common Multiple of 2,3,..,6:
1 less than 60: 60 - 1 = 59
1 less than 120: 120 - 1 = 119
3. Divisible by 7
At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;
[tex]\frac{59}{7} = 8.42857142857[/tex]
[tex]\frac{119}{7}=17[/tex]
The results of these division shows that 59 is not divisible by 7;
Hence, the actual number of apple is 119
Number of apple = 119
When a number is tripled, it gives the same result as when 32 is added to it.
What is the number?
Answer:
The number is 16.
Step-by-step explanation:
3x=32+x
2x=32
x=16
A number that when tripled, gives the same result as when 32 is added to it is 16.
Let the unknown number be x.In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.
Translating the word problem into an algebraic expression, we have;
Tripling the number, we have:
[tex]3x[/tex] ....equation 1
Adding 32 to the number, we have:
[tex]32 + x[/tex] ....equation 2
Equating the two equations, we have:
[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]
x = 16
Find more information: https://brainly.com/question/4728821
Without actual division, prove that 2x^4 - 5x^3 + 2x^2 - x + 2 is divisible by x^2 + 3x + 2.
Answer:
Thinking Process
(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.
(ii) The two different values of zeroes put in bioquadratic polynomial.
(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by
quadratic polynomial.
Answer:
2x⁴ - 5x³ + 2x² - x + 2=
2x²(x²-3x+2) +x³-2x² -x +2=
2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=
(x²-3x+2)(2x²+x+1)
since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2
-------------
note: x²+3x+2 is not the factor of the given polynomial
I need help please I need to get the right answer
Answer:
33
Step-by-step explanation:
djjsjskskskakakkaka
13. What is the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of tt.
O 6 cm
O 247 cm
O 12 cm
O 9 cm
Answer:
C = 6pi cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 6pi cm
Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they select 3 of the camps to sign her up for?
Answer:
This can be done in a total of 10 ways
Step-by-step explanation:
This is a selection problem.
What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.
Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION
Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways
which is mathematically equivalent to;
n!/(n-r)!r!
now applying this to the problem at hand, what we have is 5C3
= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!!
Answer:
So since the ball is at x=0 at the end.
We plug in it.
h(x) = 16 if you simplify it
the weights of cars passing over a bridge have a mean of 3550 lb and a standard deviation of 870 pounds. Assume that the weights of cars passing over the bridge or never distributed. Use the empirical rule to estimate the probability that a randomly-selected car going over the bridge will weigh less than 940 lbs
Answer:
a. 0.15%
Step-by-step explanation:
The Z-score of 940 pounds is ...
(X -µ)/σ = (940 -3550)/870 = -3
The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.
The probability that a car weighs less than 940 lbs is about 0.15%.
find the circumference
Answer:
25.12
Step-by-step explanation:
C = 2*3.14*4
C = 8*3.14
C = 25.12
Answer:
C =25.12 cm
Step-by-step explanation:
The circumference is given by
C = 2* pi *r
C = 2 * 3.14 * 4
C =25.12 cm
I need help with number 8 please help me
Answer:
Brainliest to me >:DStep-by-step explanation:
(3,2) (4,5)
-4 on the left number (3 and 4)
-3 on the right number (2,5)
creates:
A'(-1,-1) AND B'(0,2)
PLEASE HELP!!!!!! PLEASE
Answer:
C
Step-by-step explanation:
A<B<D do not make sense
Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.
Answer:
y= -29 if domain is -4
y=-6 is domain is -2
y=8 if domain is 0
y=22 if domain is 2
Step-by-step explanation:
(20 POINTS AND BRAINLIEST)
The Timothy Edwards Matinee Program has a one time fee of $25 to join the bowling club. It then costs $6 each time the club goes bowling.
a) Write an equation in slope-intercept form for the cost y of joining the club and going on x bowling trips.
b) Sarah wants to join and go bowling 10 times. How much will she pay?
c) Tyler wants to join the club and go bowling 7 times. How much will he have to pay?
Answer:
a) The equation is y = 6x + 25 since the 25 is the initial fee.
b) We plug in 10 for x. 6 * 10 + 25 = $85.
c) We plug in 7 for x and get 6 * 7 + 25 = $69.
Answer:
see below
Step-by-step explanation:
a) y = 6x + 25 (because the 25 is the initial fee)
b) x = 10, so:
= 6 * 10 + 25
= $85
c) x = 7, so:
= 6 * 7 + 25
= $69
Hope this helps!
To test the effectiveness of a diet cat food, scientists divided a group of overweight cats into a control and treatment group. The cats in the control group ate their regular food. The cats in the treatment group received a measured portion of diet cat food twice a day. After two months, the cats in the treatment group had lost an average of 1.2 lb, and the cats in the control group had gained an average of 0.1 lb. State the Subjects:
Answer:
Step-by-step explanation:
The subject in a statistical research work usually refer to the participants involved in the experiment which is usually a quantitative research.
The subjects in this study are all the overweight cats including those in the control and treatment groups.
Solve for x in the diagram below.
120°
3x
0
2=
Answer:
x=40
Step-by-step explanation:
The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.
120=3x
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
120/3=3x/3
120/3=x
40=x
x is equal to 40.
Answer:
40
Step-by-step explanation:
i had this a while ago
Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
en zonas urbanas. Calcule mediante procedimiento matemático la población total y la
población rural para la misma época.
Answer:
zonas urbanas => 30 % de la poblacion => 700 millones
poblacion total => 100 % de la poblacion => x => 2333.3 millones
poblacion rural => 70% de la poblacion => x - 700 => 1633.33 millones
[tex]x = \frac{700 \times100}{30} =2333.3[/tex]
[tex]x-700=2333.3-700=1633.33\\[/tex]
PLZ HELP 100 POINTS AND DONT BE MEAN
Answer:
Full drum 80 dollars
one lid missing
earn 10 dollars less
Step-by-step explanation:
We need to find the surface area
SA = 2 pi r^2 + 2 pi rh
The diameter is 2 so the radius = 2/2 =1
SA = 2 * pi * 1^2 + 2 * pi * 1 * 3
= 2 pi + 6pi
= 8pi
Using pi = 3.14
SA = 8 *3.14 = 25.12 ft^2
We get 3.18 per ft^2
25.12 * 3.18 =79.88
To the nearest dollar
80 dollars
If one of the lids is missing
SA = pi r^2 + 2 pi rh
pi + 6pi
7 pi
Using pi = 3.14
SA = 7 *3.14 = 21.98 ft^2
We get 3.18 per ft^2
21.98 * 3.18 =69.90
To the nearest dollar
70
The difference is 10 dollars
Answer:
[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Surface area of the cylinder :
2πr² + 2πrh
The diameter is 2 ft, so the radius is 1 ft.
⇒ 2π(1)² + 2π(1)(3)
⇒ 8π ≈ 25.13
$3.18 is getting payed per square foot.
⇒ 25.13 × 3.18
⇒ 79.9221171073 ≈ 80
If the lid was missing:
πr² + 2πrh
π(1)² + 2π(1)(3)
7π ≈ 21.99
$3.18 is getting payed per square foot.
⇒ 21.99 × 3.18
⇒ 69.9318524689 ≈ 70
The difference :
80 - 70 = 10
$10 less if the lid is missing.
[tex]\rule[225]{225}{2}[/tex]
(PIC INSIDE!!!) What is the equation of the following linear function?
Answer:
y=4x-4
Step-by-step explanation:
Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.
Therefore, the equation is y=4x-4. Hope this helps!
Please help me with my math question!!!!
Answer:
No.
Step-by-step explanation:
It is because a line is said to be perpendicular to another line if the two lines intersect at a right angle or at 90° and the two lines in the graph does not intersect at 90° angle..
mark brianliest if my answer suit your question..
The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.
Both angles are acute.
The sum of the measures of the two angles is 75°.
The sum of the measures of the two angles is 155°.
One of the angles is a right angle.
The measure of neither angle is more than 75°.
The measures of the other angles must be 105° too.
The measure of one of the other angles equals 75°.
The measure of one of the other angles must be 45°.
Step-by-step explanation:
The sum of the measures of the two angles is 75° because of the sum of angles in a triangle which means that both angles are acute. This also means that the measure of neither angle is more than 75°.
Answer:
A, B, E
Step-by-step explanation:
both angles are acute
The sum of the measures of the two angles is 75°
The measure of neither angle is more than 75°