What is the solution to this equation?
X+ 7 = -8
O A. x= 15
O B. x= 1
O c. x = -15
O D. x= -1
Someone please help me with this lol… have no idea what I’m doing
Given:
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
To find:
The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.
We know that,
[tex]\sin^2\theta +\cos^2\theta =1[/tex]
[tex]\sin^2\theta=1-\cos^2\theta[/tex]
[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]
It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,
[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]
After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get
[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]
[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin \theta=-\dfrac{4}{5}[/tex]
Therefore, the correct option is B.
Express 4x + 3y - 8 = 0 in slope and y-intercept form.
Step-by-step explanation:
Given equation :-
4x + 3y - 8 = 0Slope intercept form :-
y = mx + c→ 4x + 3y - 8 = 0
→ 3y = -4x + 8
→ y = (-4x + 8)/3
→ y = -4/3x + 8/3
Answer:
y = -4/3x + 8/3.
Step-by-step explanation:
4x + 3y - 8 = 0
3y - 8 = -4x
3y = -4x + 8
Divide through by 3:
y = -4/3x + 8/3.
3-6x (34 divided by3º)2
Answer:
3^-6(81)^2=3^-6(6561)=9 which is 3^2
31. The volume in a water drum is halved every 2 days of a drought. If the volume of water
in the drum was initially 1,000,000 gallons, what was the approximate volume after 10
days?
Answer:
30'000 gallons approx
Step-by-step explanation:
day 2 - 500,000 gallons
day 4 - 250,000 gallons
day 6 - 125,000 gallons
day 8 - 62,500 gallons
day 10 - 31,250 gallons
help me please ASAP
Answer:
A.
Step-by-step explanation:
Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.
For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?
Show your work
Answer:
There are 26 tickets left to be sold.
Step-by-step explanation:
Jason - 6 tickets
Heather - 6(3) = 18 tickets
6+18 = 24 tickets
50-24 = 26 tickets
15 POINTS FOR WHO WILL ANSWER
You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV
Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank
Which car is faster? And use the graph
Answer:
The 24,003 is the fastest
A trinket factory can produce 3000 trinkets per day the. warehouse has a capacity of 50000 trinkets .currently there are 8000 trinkets in the warehouse assume that no trinkets are going to be shipped out of the warehouse for a while
Answer:
14 days
Step-by-step explanation:
Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.
50,000 - 8000 = 42,000 trinkets
Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity
42,000 / 3000 = 14 days
Therefore, it will take 14 days for the warehouse to be filled
Find the circumference of a circle with a radius of 35 inches in terms of 7 and to the nearest tenth of an inch.
Answer and Step-by-step explanation:
The circumference formula for a circle is:
C = [tex]2\pi r[/tex]
Plug 35 in for r (radius) and solve.
C = [tex](35) 2\pi\\\\C = 70\pi\\\\C = 219.9[/tex]
So, approximately 219.9 [tex]in^2[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
Solve x2 − 3x = −8. (2 points)
Answer: x=3 plus or minus i square root 29 end root all over 2
I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.
What is the maximum value of this function?
Whoever answers these 2 right gets brainliest and 25 points!
HELP! What is the surface area of the right cone below?
12 6
A. 339 sq. units
B. 245 sq. units
C. 185 sq. units
D. 582 sq. units
The surface area of the right cone is,
⇒ 339 units²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Radius of right cone = 6 units
Slant height of right cone = 12 units
Now, We know that;
The formula for the total surface area of a right cone is,
⇒ T. S. A = πrl + πr²
Hence, We get;
The surface area of the right cone is,
⇒ 3.14 × 6 × 12 + 3.14 × 6²
⇒ 226.08 + 113.04
⇒ 339.1
⇒ 339 units²
Thus, The surface area of the right cone is,
⇒ 339 units²
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
(18)Calculate the volume of this shape
Answer:
108 cm cubed
Step-by-step explanation:
(1/2 of length•height)•width
(1/2 of 6•4)•9
(1/2 of 24) •9
12•9
108
HELPPPPP!!!! ASAPPPPP!!!!!
Answer:
24
Step-by-step explanation:
XW=WY=12
If the opposite angle is 30, the hypotenuse is double the small side.
XZ=XW=2·12=24
Which function represents the graph below?
Answer:
answer is A. you can see each intervals slowly to know this
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4
Answer:
y-y1=m(x-x1)
y-1/3=3/4(x-4)
y=3/4x-8/3
Algebra 2:
A boy has five-dollar coins and y ten dollar coins. There are 8 coins altogether and their total value is $55. How many of each coins do he have?
no links they don't open.
Answer:
5 five-dollar coins and 3 ten-dollar coins
Step-by-step explanation:
10x3=30
5x5=25
30+25=55
Area of prallelogram
Answer:
7) 96
8) 84
9) 72
Step-by-step explanation:
A = bh
7)
b = 12, h = 8
A = 12*8 = 96
8)
b = 12, h = 7
9)
b = 8, h = 9
Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!
Answer:
39.6 degrees
Step-by-step explanation:
There are 176 baseball answers out of 1600
There are 360 degrees in a circle
Multiply the fraction of baseball responses by the degrees in a circle
176/1600 * 360
198/5
39.6 degrees
Jen's test grades for this term are 85,92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?
Answer:
Step-by-step explanation:
(85+92+95+x)/4
=90
(272+x)/4
=90
90×4=360
272+x=360
x=360-272=88
so it's the lowest score
Which of the following is a geometric sequence?
O A. 11, 16, 21, 26, ...
B. - 3, 3, -3, 3, ...
O C. -2, 6, 14, 22, ...
O D. 6, 13, 19, 24, ...
Answer:
A
Step-by-step explanation:
geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2
15/25 = y/30. Solve for y.
15/25= y/30
y= 3/5×30
y= 3×6
y=18
THE ANSWER IS Y=18
Answer:
y = 6
Step-by-step explanation:
One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5. Then
1 y
---- = -----
5 30
Through cross-multiplication, we get 5y = 30, or y = 6
What is a carbon footprint? What are some actions you can take to reduce your carbon footprint?
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.
Answer:
There is no possible value for P
Step-by-step explanation:
In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree
We solve using the law of sines
p/sin P = r/sin R
7.6/sin P = 3.5/sin 160
Cross Multiply
sin P × 3.5 = 7.6 × sin 160
sin P = 7.6 × sin 160/3.5
P = arc sin (7.6 × sin 160/3.5)
There is no possible value for P
to the girl who helped me <3 please help me again.
Answer:
x = 11
Step-by-step explanation:
<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<4 = <5
7x+5 = 5x+27
Subtract 5x from each side
7x+5-5x = 5x+27-5x
2x+5 = 27
Subtract 5 from each side
2x+5-5=27-5
2x =22
Divide by 2
2x/2 =22/2
x =11
20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5
Maham has a number of apples. She could share my apples equally among 3, 4, or 5 people. What is the smallest number of apples Maham could have?
The value 60 is the LCM of 3, 4 and 5.
==================================================
Explanation:
LCM = lowest common multiple
To find the LCM, we list out the prime factorization of each number
3 = 3*14 = 2*25 = 5*1Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60
----------
If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples
If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.
Or if she had 5 friends, then each friend gets 60/5 = 12 apples.
For any of those three cases, there are no leftovers or remainders.
Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.
Answer:
60
Step-by-step explanation:
60 / 3 = 15
60 / 4 = 20
60 / 5 = 12
They all divide evenly.
