Answer:
cos θ = 4/5.
tan θ = 3/4.
Step-by-step explanation:
Given sin θ = 3/5, we can find the value for the other side of the right triangle.
Using the Pythagorean formula, we can derive the value of this other leg.
5² = 3² + x²
x = 4.
Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.
cos θ= A/H --> cos θ = 4/5.
tan θ= O/A --> tan θ = 3/4.
The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use
3 inch radius and 4 inch height
4 inch radius and 4 inch height
9 inch radius and 9 inch height
4 inch diameter and 9 inch height
6 inch diameter and 9 inch height
9 inch diameter and 4 inch height\
(Please hurry)
Answer:1 and 2
Step-by-step explanation:
Given
Volume needed [tex]V=220\ in.^3[/tex]
For first cylinder
[tex]r=3\ in.[/tex]
[tex]h=4\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_1=\pi (3)^2(4)[/tex]
[tex]V_1=113.11\ in^3[/tex]
For second cylinder
[tex]r=4\ in.[/tex]
[tex]h=4\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_2=\pi (4)^2(4)[/tex]
[tex]V_2=201.08\ in^3[/tex]
For Third cylinder
[tex]r=9\ in.[/tex]
[tex]h=9\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_3=\pi (9)^2(9)[/tex]
[tex]V_3=2290.51\ in^3[/tex]
For fourth cylinder
[tex]r=4\ in.[/tex]
[tex]h=9\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_4=\pi (4)^2(9)[/tex]
[tex]V_4=452.448\ in^3[/tex]
So, cylinder [tex]1[/tex] and [tex]2[/tex] are appropriate as it is under [tex]220\ in.^3[/tex]
Answer:
1, 2, and 4.
Step-by-step explanation:
Don't forget for these 3 you had to cut the diamiter in half to get the radius.
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 6), and then walks to a movie theater at (7, 6). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
26 blocks
Step-by-step explanation:
To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).
Using the distance formula i.e[tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
(0,0) to (0,6) is : [tex]\sqrt{(0-0)^2+(6-0)^2}[/tex] = 6 blocks
(0,6) to (7,6) is: [tex]\sqrt{(7-0)^2+(6-6)^2}[/tex]= 7 blocks
(7,6) to (7,0) is: [tex]\sqrt{(7-7)^2+(0-6)^2}[/tex] = 6 blocks
(7,0) to (0,0) is: [tex]\sqrt{(0-7)^2+(0-0)^2}[/tex] = 7 blocks, back home
This totals 26 blocks that Tommy walked.
Write an equation of the line that passes through (2,−3) and is perpendicular to the line y=−2x−3.
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
An equation of the line that passes through points (2,−3) and is perpendicular to the line is equal to [tex]y=\frac{1}{2} x-4[/tex]
Given the following equation:
[tex]y=-2x-3[/tex]Points (x, y) = (2, -3)First of all, we would determine the slope of the given equation:
Slope, [tex]m_1[/tex] = -2
In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).
Mathematically, this is given by;
[tex]m_1 \times m_2 = -1[/tex]
Substituting the value of [tex]m_1[/tex], we have:
[tex]m_1 \times m_2 = -1\\\\-2 \times m_2 = -1\\\\m_2 = \frac{1}{2}[/tex]
The standard form of an equation of line is given by the formula;
[tex]y -y_1 =m(x-x_1)[/tex]
Where:
x and y are the points.m is the slope.Substituting the points into the formula, we have;
[tex]y-y_1 =m(x-x_1)\\\\y-[-3] =\frac{1}{2} (x-2)\\\\y+3=\frac{1}{2} x -1\\\\y=\frac{1}{2} x-1 -3\\\\y=\frac{1}{2} x-4[/tex]
Read more: https://brainly.com/question/14096662
simplify (3 to the 6th power) to the 18th power??
Answer:
[tex]3^{108}[/tex]
Step-by-step explanation:
[tex](3^6)^{18}\\\text {Apply "Power of a Power" Rule: } (a^x)^y = a^{x*y}\\6*18 =108\\\text {Therefore:}\\\boxed {(3^6)^{18} = 3^{108}}[/tex]
Answer:
3 to the 6th power is 729.
3 to the 18th power is 387420489
Step-by-step explanation:
You just multiply. Sorry I don't know how to explain I just know how to do it.
Will mark brainliest.
Answer:
I couldnt figure out the irregular polygons, so im sorry
Step-by-step explanation:
2.
[tex]A=wl=7*2=14in^2\\P=2(l+w)=2*(2+7)=18in[/tex]
3.
[tex]P=8a=8*3=24cm[/tex]
4.
[tex]A=wl=40*97=3880mm^2\\P=2(l+w)=2*(97+40)=27mm[/tex]
5.
[tex]A=wl=4*13=52cm^2\\P=2(l+w)=2*(13+4)=34cm[/tex]
6.
[tex]A=wl=3*8=24cm^2\\A=wl=2*6=12cm^2\\=36cm^2\\P=2(l+w)=2·(8+3)=22cm\\P=2(l+w)=2*(2+6)=16cm\\=38cm[/tex]
8.
[tex]A=wl=4*9=36cm^2\\A=wl=8*3=24cm^2\\=60cm^2\\P=2(l+w)=2*(4+9)=26cm\\P=2(l+w)=2*(8+3)=22cm\\=48cm[/tex]
9.
[tex]A=wl=7*11=77cm^2\\A=wl=2*5=10cm^2\\=87cm^2\\P=2(l+w)=2*(7+11)=36cm\\P=2(l+w)=2*(2+5)=14cm\\=50cm[/tex]
Can someone please tell me What’s 2=m/2 -7 ?
Answer:
Step-by-step explanation:
2 = m / 2 - 7
2 + 7 = m / 2
9 = m / 2
cross multiply
m = 9 * 2
Therefore m = 18
Hope u understood and it helped.
A game comes with a deck of cards with each card showing one of the numbers 2,3,4,5,6, or 8. Each card occurs one time in red and one time in purple, and one time in blue. Given that a blue card is drawn what is the probability the card is 4
Answer:
0.1667 = 16.67%.
Step-by-step explanation:
We already know that the card drawn is blue, so now we need to check the value of the card.
The blue cards have 6 possibilities of values (2, 3, 4, 5, 6 or 8), and the number 4 appears only 1 time, so the probability of the blue card having the value 4 is the number of times this value occurs by the number of possible values:
P = 1/6 = 0.1667 = 16.67%.
Small box: 162 inches. Large box 1: 10476 inches. Large box 2: 9102 inches Your friend uses division to determine that Large Box 1 can hold 64 small boxes and Large Box 2 can hold 56 small boxes. Explain the error in your friend's reasoning. How many small boxes can each large box hold?
Answer: Large box 1 can hold 64.67 inches; Large box 2 can hold 56.19 inches.
Step-by-step explanation:
Small box: 162 inches.
Large box 1: 10476 inches.
Large box 2: 9102 inches
Number of small box that can be contained in large box 1= 10476/162 = 64.67
Number of small box that can be contained in large box 2 = 9102/162 = 56.19
If my friend uses division to determine and said Large Box 1 can hold 64 small boxes and Large box 2 can hold 56 small boxes. The error in his reasoning was that he didn't approximated to whole number. He should have written the figure completely or to 2 or 3 decimal places.
According to the key of a particular park map, every 8 inches on the map represents 3 miles of trails in the park. How many inches on the map represents 9 miles on the park trails
Answer:
24 inches represents 9 miles in the map
Step-by-step explanation:
To solve this problem you take into account that 8 inches represents 3 miles and that x represent the number of inches for 9 miles. That is:
8 ------- 3
x ------- 9
This is simply a rule of three, then you calculate:
[tex]x=\frac{8\ x\ 9}{3}=\frac{72}{3}=24[/tex]
Hence, 24 inches represents 9 miles in the map
9 Fill in: is, are, was or were.
1 The house ...
earthquake last week.
destroyed by the
Answer:
was
Step-by-step explanation:
lol
QUESTION 6,7,8 PLS HELP
Answer:
6) a.
7) d.
8) a.
I hoped this helped! Please mark me brainliest. Thanks!
Matthew Filled a gallon bucket half full with water .He than poured 1/2 of the water.
how much water is left
Answer:
No water
Step-by-step explanation:
-1.58(6.02) Find The product Please explain
Answer:
-9.5116
Step-by-step explanation:
-1.58 * 6.02.
The easy way is to use your calculator.
To do it manually you can multiply -158 by 2, then by 10 and then by 600.
Add these 3 results.
This gives -95116.
Now you have 4 numbers after the decimal point in -1.58 and 6.02 so counting from the right in -95116 we locate the decimal point:
= -9.5116.
if you score 30 points for five games then how many points do you ern per game
Answer:
6 because 30 / 5 is 6
Step-by-step explanation:
whats the distance between the following points? -9,8 -3,2
So the right answer is √314 units.
Look at the attached picture
Hope it will help you
Good luck on your assignment
PLSS HELP ME it’s question #9!!!
Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the outside of a circle. If we can find the circumference of the wheel, we can find out how far Elena can travel when her wheel turns one time. If we can find out how far she travels in one wheel turn, we will multiply that distance by 840 to see how far she travels when her wheels turn 840 times.
[tex]C=2\pi r[/tex] and
C = 2(3.14)(.25) so
C = 1.57 m
1.57 x 840 = 1318.8 meters
Find the sum: 34∑n=1(-17+8k)
Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?
Answer:
1
Step-by-step explanation:
The leading coeffecient is the number behind the x^2 value. There is an imaginary one there.
Please help
Been stuck for 30 minutes
Will mark as brainliest as soon as possible, answer coreectly please
Answer:
30) A)
31) C)
32) A)
33) A)
34) A)
Step-by-step explanation:
30) Reflection over the x -axis (x,y)→(x,−y)
31) Rotation 180° about the origin (x, y)→(-x, -y)
32) Rotation 180° about the origin (x, y)→(-x, -y)
33) Translation 1 unit left (x, y)→(x-1, y)
34) Rotation 180° about the origin (x, y)→(-x, -y)
Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P Vivian was assigned to read
Answer:
P = 74
Step-by-step explanation:
14 + 60 = 74
Find m∠C to the nearest degree for triangle ABC shown below.
A. 23
B. 47
C. 67
D. 76
Answer:
sinC = 12/13
C = [tex]sin^{-1}[/tex]12/13
C = 67⁰
The equation below model the numbers of two portable music players (y) and days after both players were introduced (x).
Music player A: y=191x-32 and music player B: y=-x^2+200x+20
1.on what day(s) did the company sell the same number of each player ?
2.how many players were sold on THAT day (use your answer from #1)
Answer:
a. On the 13th day
b. 2,451 players we’re sold on that day
Step-by-step explanation:
a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;
y = 191x-32 and y = -x^2 + 200x + 20
Equating both, we have;
191x-32 = -x^2 + 200x + 20
x^2 -200x + 191x-20-32 = 0
x^2-9x-52 = 0
x^2-13x + 4x -52 = 0
x(x-13)+4(x-13) = 0
(x-13)(x+4) = 0
x = 13 or -4
as days cannot be negative we choose only x = 13
This means the company sold equal numbers of players on the 13th day
b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13
Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players
find the value of x
-3=16-x
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...
I searched it up but didn’t get the right help so now I’m asking
It should be A: 1 ounce of hamburger patty has approximately 3/17 grams of protein and 1 ounce of fish has 3/16 grams of protein.
A mixture of gases was found to have a total pressure of 950 mmhg gas number 1 has a pressure of 335 mmhg gas number 2 has a pressure of 456 mmhg what is the pressure exerted by gas number 3
Answer:
The pressure exerted by gas number 3 is 159 mmHg
Step-by-step explanation:
To answer this question, the law to Use is Dalton’s law of partial pressure
Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.
Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3
Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg
P3 = Pt-P1-P2
Plugging the values above, we have ; 950-335-456 = 159 mmHg
Combine like terms to create an equivalent expression. -1/2(-3y+10)
Answer:
3/2y -5
Step-by-step explanation:
-1/2 (-3y+10)
Distribute
-1/2* -3y + -1/2*10
3/2y -5
Answer:
3/2y - 5
Step-by-step explanation:
To do this question, we will need to use the distributive property. Multiplying the number outside of the terms in the parenthesis gives us:
-1/2(-3y+10) --> 3/2y - 5
can someone help me?, I had the notes in my notebook but the notebook got full, so I threw it away not thinking I was gonna need these notes again ;(
Step-by-step explanation:
hope this helps you
..................
Um criador de peixes decidiu construir um tanque para criar uma nova espécie de peixe, porém essa precisa de um tanque muito maior do que ele costuma trabalhar e seu formato precisa ser de um paralelepípedo. Sabendo disso, pediu a um engenheiro que construísse um tanque com 50 m³ de volume, (x + 3) metros de comprimento, a largura x metros e a altura de 5 metros. Qual o comprimento e a largura desse tanque, respectivamente?
Answer:
length = 5 meters
width = 2 meters
Step-by-step explanation:
The volume of parallelepiped is given by:
Volume = length * width * height.
If the volume is 50 m3, the length is x + 3, the width is x and the height is 5 m, we can use the volume equation to find the value of x:
50 = (x+3) * x * 5
10 = (x+3) * x
x^2 + 3x - 10 = 0
Using Bhaskara's formula, we have:
Delta = 3^2 + 4*10 = 49
sqrt(Delta) = 7
x1 = (-3 + 7)/2 = 2
x2 = (-3 - 7)/2 = -5 (This value would cause negative measurements, so it is not a valid answer)
So with the value of x = 2, we can find the length and the width of the tank:
length = x + 3 = 2 + 3 = 5 meters
width = x = 2 meters
The senior students have large lockers that line the school's southern hallway in a single row. A group of 7 friends agreed to choose lockers next to each other. How many different ways can the students choose adjacent lockers?
Answer:
84 different ways
Step-by-step explanation:
you have to do
7+6+5+4+3+2+1=28
6+5+4+3+2+1=21
5+4+3+2+1=15
4+3+2+1=10
3+2+1=6
2+1=3
1=1
28+21+15+10+6+3+1=84
84 different ways
A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?
Answer:
work is shown and pictured