Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
[tex]cos^{-1}Q = 0.604[/tex]
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.
How to calculate the measure of angle Q?Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
Read more on cosine function here: brainly.com/question/4599903
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£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?
Answer: Paul gets £186
Step-by-step explanation:
Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.
1/2 * 1/3 = 1/6
So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.
1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6
Now, divide 620 by 1 4/6 to find Malachy’s amount.
620/1 4/6 = 372
Now, divde 372 by 2 to get Paul’s amount.
372/2 = 186
tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes
Answer:
Step-by-step explanation:
From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:
= $16/6
= $2.67
1 audio cassette will cost $2.67
The amount of money spent will depend on the number of audio cassettes. Therefore,
m = $2.67 × n
m = $2.67n
where n = number of audio cassette
The amount of money he'll pay for 9 cassette will be:
m = $2.67n
m = $2.67 × 9
m = $24.03
An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ?
Answer:
6 < x < 26
Step-by-step explanation:
let x be the third side, then
difference of 2 sides < x < sum of 2 sides , that is
16 - 10 < x < 16 + 10
6 < x < 26
What is the value of x?
Answer:
x =40
Step-by-step explanation:
x and 4x-20 form a straight line which means they add to 180
x+4x-20 = 180
Combine like terms
5x -20 =180
Add 20 to each side
5x = 200
Divide by 5
5x/5 = 200/5
x =40
Answer:
it just looks confusing sry
Step-by-step explanation:
but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck
what is the volume of the cone using pi/3.14 using the numbers 2and 3
Answer:
V=π*r^(2)*h/3
Step-by-step explanation:
Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
Answer:
40 feet
Step-by-step explanation:
Since x=4
3x-4=3(4)-4=12-4=8 feet
x^2-1=4^2-1=16-1=15 feet
2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet
Perimeter=8+15+17=40 feet
Find the y-intercept of the following equation. Simplify your answer.
y = 4x + 4
y-intercept
Answer:
The slope is 4 and the y intercept is 4
(0,4)
Step-by-step explanation:
The equation is in the form
y = mx+b where m is the slope and b is the y intercept
y = 4x+4
The slope is 4 and the y intercept is 4
(0,4)
compare: 5/12 to 1/12 which one is greater
Answer:
5/12 is greater
Answer:
5/12 is greater than 1/12
Step-by-step explanation:
when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12
Find the measure of arc FGH.
[tex]arc \: fgh = \: 238° \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at [tex](-2,0)[/tex]
then y-axis at [tex](0,-2)[/tex] and
then again x - axis at [tex](2,0)[/tex].
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex] and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].
Please find attached graph for the same.
This graph denotes the following function:
[tex]y=f(x)=|x|-2[/tex]
Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi.
Answer:
Step-by-step explanation:
Surface area of sphere = 125 sq.ft
4πr² = 125
4*3.14*r² = 125
[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]
r = 3.15 ft
Answer:
631 feet
Step-by-step explanation:
125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.
Share £90 in the ratio 1:5
Answer:
the answer is
Step-by-step explanation:
if we take a and b as two pupil to share the money,then a gets
$15 and b gets $75
sum of the ratio is=6
a =1/6×$90
=$15
b=5/6×$90
=$75
what is the length of BC?please help!!!
Answer:
2.1
Step-by-step explanation:
using cosine theorem or substraction of two vector
b = AC = 5
c = AB = 6
a² = b² + c² - 2bc cos A
a² = 5² + 6² - 2*5*6 cos 20°
a² = 4.62
a = √4.62
a = 2.149
a ≈ 2.1
Five state officials are listed to the right. a. List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials. Governor (Upper G) Lieutenant Governor (Upper L) Secretary of State (Upper S) Representative (Upper R) Press Secretary (Upper P) b. If a simple random sampling procedure is used to obtain a sample of three officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample? a. List all 10 possible samples (without replacement) of size 3. Use the letter abbreviation for each official.
Answer:
All possible are:
(G,L,S)
(G,L,R)
(G,L,P)
(G,S,R)
(G,S,P)
(G,R,P)
(L,S,R)
(L,S,P)
(S,R,P)
{L,R,P)
Probability of 1st/2nd/10th sample = 1/10
Step-by-step explanation:
All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.
Total Numbers of Samples = 10
To find the probability of finding the first sample from random sampling procedure,
Probability = Number of desired outcomes/ Total number of outcomes
Where Number of desired outcome is 1 and total number of outcomes is 10.
Probability = 1/10
Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10
Possible samples:
(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).
a) Given:
Population size [tex]N=5[/tex].
Sample size [tex]n=2[/tex]
Possible sample (without replacement)
[tex]\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}[/tex]
[tex]=\frac{5\times 4}{2}[/tex]
[tex]=10[/tex]
[tex]10 samples:-[/tex]
Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)
Possible samples:
(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).
b) Event: [tex]E\to[/tex]choosing sample second and tenth.
[tex]E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10[/tex]
The Probability of that it is the first sample.
Second and tenth sample[tex]=\frac{n\left ( E \right )}{n(S)}[/tex]
[tex]=\frac{2}{10}[/tex]
[tex]=\frac{1}{5}[/tex]
Learn More: https://brainly.com/question/5123318
What is the answer to 1 7/9 ÷ 4/5 and explain please
Answer:
2 2/9
Step-by-step explanation:
So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9
And that is how to do it.
Answer: 2 8/36 or 2 2/9 (simplified)
HOPE THIS HELPS :)))
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x-3
5 < 10x - 3
2 - 2x < 8x
Answer:
5 < 10x-3
Step-by-step explanation:
5 - 2x < 8x - 3
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x-3
Answer:
The answer is C.
Step-by-step explanation:
Trust me, I got you.
Which of the following best describes the perpendicular lines?
Answer:
A perpendicular line is a line that meets a 90 degree angle.
Step-by-step explanation:
Think of the letter L
the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.
Thats the best way I can explain it.
Hope this helps and please mark me brainliest if it did :)
Answer:
Hey!
Your answer is B. Lines that meet at a 90 degree angle!
Step-by-step explanation:
Just think of an L or something...
The 2 lines meet together and you can then see close to the area they meet at 90 degree angles...
Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots
Answer:
k= [tex]\frac{x^{2}+6 }{2x}[/tex]
Step-by-step explanation:
x(x−2k)+6=0
Step 1: Add -x^2 to both sides.
−2kx+x2+6+−x2=0+−x2
−2kx+6=−x2
Step 2: Add -6 to both sides.
−2kx+6+−6=−x2+−6
−2kx=−x2−6
Step 3: Divide both sides by -2x.
−2kx /−2x = −x2−6 /−2x
k =
The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c
Answer:
b y=1.5x+20
Step-by-step explanation:
JUST DID IT ON ENDGE 2021
The equation for Wild Dogs program is y = 20 + 1.5x.
What are Linear Equations in Two Variables?The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Given membership program for Wild Dogs and the Rattlers,
for Wild Dogs,
initial fee = $20
ticket price per game = $1.50
for Rattlers
initial fee = $14
ticket price per game = $2.25
linear equation for Wild Dogs program,
Let x represent the number of games and y the total
y = 20 + 1.5x
for Rattlers
y = 14 + 2.25x
Hence the equation for Wild Dogs program, is y = 20 + 1.5x.
Learn more about Linear Equations in Two Variables;
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jasmine gets $3.00 every time her song gets 1000 monetized streams. If 3/10 of her streams are monetized how much money would she have if she got 3 million streams?
Answer:
$270,000
Step-by-step explanation:
1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000
2. 900,000 divided by 1,000 is 90,000
Then, to calculate the dollar amount we do:
3. 90,000 x 3.00 = 270,000
In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.
Hope this helps!
Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answer: A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Step-by-step explanation:
Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.
Cost of scooter = $600
Weekly installment = $18.75
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Let 'x' be the number of weeks .
Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)
[tex]\Rightarrow\ 150=600-18.75x[/tex]
[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]
i.e. After 24 months when she has $150 left to pay for the motorized scooter.
Hence, the correct answer is :
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Answer:
B)-18.75x+600=150
Step-by-step explanation:
Got it right on my test!
Multiply and simplify
V8xyz3 . V10x3y2z
Answer:
Step-by-step explanation:
[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.
Answer:
there is no slope :)
Step-by-step explanation:
give the other person brainliest bc theyre swag
Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.
Answer:
36h + 75 < 1200
solve:
36h + 75 = 1200
36h = 1125
h = 1125 divided by 36 = 31.25.
Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200
What is the answer to this, I need an explanation please ASAP
Answer:
323 ft^2
Step-by-step explanation:
Separate the figure on the left into two figures, a trapezoid and a square
The area of a trapezoid is
A = 1/2 (b1+b2)h
A = 1/2 (12+15)*7
= 1/2 (28)7
98 ft^2
The area of a square is
A = s^2
= 15^2
= 225 ft^2
Add the areas together
A total = 98+225 =323 ft^2
3x2 + 5x - 7 = 0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.
y=-3x + 6
y = 9
What is the solution to the systems of equations
Answer:
-1,9
Step-by-step explanation:
You use the equal values method to combine the two equations
-3x+6=9
then subtract 6 on both sides of the equal sign
nine minus six is 3
-3x=3
divide negative three on both sides to isolate the x value
to get....
x=-1
then plug the x value back in to find the y value
(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK
3+6 is 9
9=9 check!
Answer:C -(-1,9)
Step-by-step explanation:
Identify the transformed coordinates of the line segment A (4, 7) and B (9, 7)
when it is reflected across x-axis.
Answer: A (4, -7) B (9, -7)
Step-by-step explanation:
When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change
x coordinates: 4, 9
y coordinates: 7, 7
Reflected over x-axis: (4, -7), (9, -7)
When Anna bought 10 cream puffs and ice creams, at $1.50 per
cream puff and $1.20 per ice cream, the total price was $13.80.
How many cream puffs and ice creams did she buy, respectively?
Answer:
6 cream puff and 4 ice creams
Step-by-step explanation:
i = ice cream
p = cream puff
p+i= 10
1.50p + 1.20 i = 13.80
Multiply the first equation by -1.2
-1.20p -1.20 i = -12.00
Add this to the second equation
1.50p + 1.20 i = 13.80
-1.20p -1.20 i = -12.00
----------------------------------
.3p = 1.80
Divide each side by .3
p =6
Now find i
p+i = 10
6+i= 10
i= 10-6 =4
Someone please help :(.
Answer:
(-9, 16)
Step-by-step explanation:
If (x, y) = (-9, 4), then (x, 4y) = (-9, 4·4) = (-9, 16).