Answer:
x = [tex]\frac{\sqrt{3} }{3}[/tex]
Step-by-step explanation:
You can either use the unit circle to find your values and then solve for x or plug it into the calc directly to find your answer (don't forget to put your mode on deg!). It is much faster to plug it into your calc. Simply just divide both sides by tan45°cos30° and you should isolate x and find your answer.
Which equation can be used to find one multiple of 16?
16=8= 2
16 = 4= 4
16 x0=0
16 x 2 = 32
Answer:
16x2=32
Step-by-step explanation:
A multiple of 16 is any number divisible by 16. Multiplying 16 by 2 creates a number divisible by 16 and 2, meaning it is divisible by 16.
16x2=32 32/16=2
what is the graph of y > x2-9.
Answer:
The 1st graph
Step-by-step explanation:
When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.
what is the answer to 5x+4=9
Answer:
x=1
Step-by-step explanation:
5x-4=9
5x=9-4
5x=5
x=1
what is the shape graphed by the function r = 1+ sin theta
Answer: Is known as a "heart" shape.
Step-by-step explanation:
r = 1 + sin(θ)
Let's do it without a graph, let's use only math and logic:
remember that θ is measured from the x-axis
when θ = 0, we have r = 1 (so we have a radius of 1 over the x-axis)
when θ = pi/2, we have r = 1 + sin(pi/2) = 2
when θ = pi, we have r = 1 + sin(pi) = 1
when θ = 3*pi/2, we have r = 1 + sin(3*pi/2) = 0
First, we have symetry around the y-axis,
now, notice that the value of x in θ = 0, θ = pi and θ = 3*pi/2 is the same. so this is not a circle, this is actually a circle where the bottom part is flatted.
But not actually flat, because between θ = pi and θ = 2pi we are in the negative y-axis, so in this region we have two small bumps that connect in the point (0, 0)
This is a kinda "heart" shape.
Answer: cardioid
Step-by-step explanation:
In right triangle ABC, ∠A is a right angle and sinC=15/17 What is the ratio cosC? Enter your answer as a fraction in simplest form, like this: 42/53
Answer:
8/17
Step-by-step explanation:
Here, we should know that the sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, 15 is the opposite and 17 is the hypotenuse
To find the cos of same angle, it is the ratio of the adjacent to the hypotenuse
We need the adjacent side
We can use Pythagoras’ theorem here
It states that the square of the hypotenuse equals sum of the squares of the two other sides
let’s say the adjacent is f
17^2 = 15^2 + f^2
f^2 = 17^2 -15^2
f^2 = 64
f = √(64)
f = 8
So the Cos C would be adjacent/hypotenuse = 8/17
Alex, Isaac and Mitch shared a cake. Alex ate 2\5 of the cake, Isaac ate 1/3 of the cake and Mitch ate the rest. What fraction of the cake dis Mitch ate?
Answer:
4/15
Step-by-step explanation:
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=9xy=9xy, equals, 9, x
(Choice B)
B
2y=18x2y=18x2, y, equals, 18, x
(Choice C)
C
pls answer as fast as u can
Answer:
3,12,15
Step-by-step explanation:
caculator
If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel then prove that the two lines are parallel
Answer:
They are equal angles.
Heeeeelllpppp meeeeee!!!!
Look at the picture to answer this question!
Answer:
A. 72
Step-by-step explanation:
Determinant of a 2x2 matrix: ad - bc
In that case,
24(18) - 30(12)
432 - 360
72
And we have our answer.
You drive an average of 750 miles per week in a car that gets 28 miles per gallon. With gasoline prices at $3.40 per gallon, what would be the difference in total weekly cost of gasoline if you start driving an SUV that gets 20 miles per gallon?
Answer:
$36.41/week
Step-by-step explanation:
Divide 750 miles/wk by 28 MPG -> = 26.79 gallons/week (I rounded.)
Divide 750 miles/wk by 20 MPG -> = 37.50 gallons/week
Car -> 26.79 gallons x $3.40 = $91.09
SUV -> 37.50 gallons x $3.40 = $127.50
$127.50 - $91.09 = Difference of $36.41/week
The difference in the total weekly cost of gasoline is $36.43 if you drive an average of 750 miles per week.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
You drive an average of 750 miles per week in a car that gets 28 miles per gallon. With gasoline prices at $3.40 per gallon.
For the first car:
Total number of miles = 750 miles
The gasoline prices at $3.40 per gallon
The car that gets 28 miles per gallon
Number of gallons used = 750/28 = 26.785
The total price of the gallon used = 26.785x3.40 = $91.07
For the SUV car:
Total number of miles = 750 miles
The gasoline prices at $3.40 per gallon
The car that gets 20 miles per gallon
Number of gallons used = 750/20 = 37.5
The total price of the gallon used = 37.5x3.40 = $127.5
The difference in total weekly cost of gasoline = 127.5 - 91.07 = $36.43
Thus, the difference in the total weekly cost of gasoline is $36.43 if you drive an average of 750 miles per week.
Learn more about the fraction here:
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Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6. If the solution region represents the number of hammers and wrenches that Brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation. A. B. C. D.
Answer:
For this case, the first thing we must do is define variables:
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
Step-by-step explanation:
Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)
Answer:
D. 10(6y - 9 - 2x)
Step-by-step explanation:
We want to factor 60y - 90 - 20x.
We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.
10 is common among all three:
10(6y - 9 - 2x)
We have factored it.
Answer:
c
d
Step-by-step explanation:
Can you please help me answer this question as I do not know how to. Thank you Solve: x + 7 < 3
Answer:
SOLUTION SET ={x/x<-4}
Step-by-step explanation:
x+7<3
in order to find the value of x
subtracting 7 on both sides
x+7-7<3-7
x<-4
I HOPE THIS WILL HELP YOU :)
Answer:
The answer is x < -4
Step-by-step explanation:
In order to solve the inequality, you have to subtract 7 to both sides, to make x the subject :
[tex]x + 7 < 3[/tex]
[tex]x + 7 - 7 < 3 - 7[/tex]
[tex]x < - 4[/tex]
I need help, please Will mark the Brainliest
Answer:
A= BEP and BCG
Because they aree the only triangle
C= about 600 to 750
Step-by-step explanation:
Find the area of the circle use 3.14 for
Answer:
530.66 cm²
Step-by-step explanation:
Area of a circle is 3.14 × radius²
3.14 × 13²
3.14 × 169
=530.66
The area of the circle is 530.66 cm².
Answer:
The answer is (approximately) [tex]530.66 cm^2[/tex]
Step-by-step explanation:
We are given the radius ([tex]13cm[/tex]).
Use the formula for the area of a circle: [tex]\pi r^2[/tex] (using [tex]3.14[/tex] for [tex]\pi[/tex])
Thus...
[tex](3.14)(13)^2[/tex]
We equals around 530.66.
Which graph shows the solution to this system of inequalities?
Answer:
Your graph is supposed to be like this so your answer is C
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY
.- Calcule el interés producido por un capital de 4 500 dólares al 5% de interés simple anual en 8 meses.
Answer: $150
Step-by-step explanation:
Hi, the question says:
Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.
To answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t = years
Since 1 year = 12 months;
For 8 months:
8/12 = 2/3 years
Replacing with the values given
I = 4500 x (5/100) x 2/3
I = $150
Feel free to ask for more if needed or if you did not understand something.
Work out the surface area of this cylinder
8.2 cm
17.5 cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Answer:
SA = 1324.1 cm²
Step-by-step explanation:
Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 8.2 cm, h = 17.5 cm
=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]
=> SA = [tex]901.6+2(3.14)(67.24)[/tex]
=> SA = 901.6 + 422.5
=> SA = 1324.1 cm²
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
f(x) = -3(x-1) find f(o).
Answer:
f(0) = 3
Step-by-step explanation:
Step 1: Distribute
f(x) = -3x + 3
Step 2: Plug in
f(0) = -3(0) + 3
f(0) = 3
Answer:
f(0) = 3
Step-by-step explanation:
f(x) = -3(x-1)
Put x as 0 and solve.
f(0) = -3(0-1)
Solve the brackets.
f(0) = -3(-1)
Multiply both terms.
f(0) = 3
Reflect triangle a in the x axis to give triangle b. Then rotate your triangle b 90 degrees clockwise around the origin to give triangle c. Describe fully the single transformation that maps triangle a onto c
Answer:
The single transformation that maps a onto c is the reflection of the triangle a about the line y = -x
Step-by-step explanation:
To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;
Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)
Also, when we rotate a point, (x, y), 90° clockwise, we have;
Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)
Therefore, the rotation of the point (x, -y), 90° clockwise will give
Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)
Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.
Find the 87th term of the arithmetic sequence –19, -13, -7,...
Answer:
87th term is 497
Step-by-step explanation:
first, you have to find the nth term:
figure out the difference between your set of numbers (in our case +6)
that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.
nth term= 6n-25
now replace n with 87.
final step:
87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497
497 is your 87th term.
Answer:
-535Step-by-step explanation:
[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]
8 1/6 × 12 solve the equation
Answer:
Step-by-step explanation:
8 1/6=49/6
49/6*12=49*2=98
if this is the question 81÷6(81/6) ×12
Answer:243
EXPLANATION:
Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.
Answer:
Step-by-step explanation:
log8 62 = x1
8^x1= 62
8^2 =64 >62 so x1<2
log7 50=x2
7^x2=50
7^2=49<50 so x2>2
we have, x1<2 and 2<x2
x1<2<x2
x1<x2
log8 62<log7 50
How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction?
Answer:
21
Step-by-step explanation:
7/8 = x/24
Cross multiply.
8x = 24 × 7
8x = 168
x = 168/8
x = 21
Answer:
answer is d
Step-by-step explanation:
Bags of sugar come in 3 sizes: Small bag: A 250 g bag costs 60p. Medium bag: A 500 g bag costs £1.10. Large bag: A 3 kg bag costs £6.50. Calculate the cost of 3 kg for the small and medium bags. Give your answer in pounds to 2 dp.
The cost of 3 kilograms of sugar in small bags is £7.20 and the cost of 3 kilograms of sugar in medium bags is £6.60.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To calculate the cost of 3 kilograms of sugar in small bags, we first need to determine how many 250-gram bags are needed to make 3 kilograms. To do this, we divide 3 kilograms by 250 grams/bag, which gives us 12 bags.
The cost of 3 kilograms of sugar in small bags is then 60p/bag x 12 bags = £7.20.
To calculate the cost of 3 kilograms of sugar in medium bags, we again need to determine how many 500-gram bags are needed.
Dividing 3 kilograms by 500 grams/bag gives us 6 bags.
The cost of 3 kilograms of sugar in medium bags is then £1.10/bag x 6 bags = £6.60.
Thus, 3 kilograms of sugar in small bags cost £7.20, whereas 3 kilograms of sugar in medium bags costs £6.60.
To learn more about the division operation click here :
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i seriously dont know what the answers are for these, can anyone help?
Answer:
11.x=4
12. m1=69
m2=69
m3=21
m4=69
m5=21
Step-by-step explanation:
PLS HELP I AM STUCK!!! 10^2+4-18+2-7*5-1
Answer:52
Step-by-step explanation:
Use pemdas :D
10^2+4-18+2-7*5-1
100+4-18+2-(7)(5)-1
104-18+2-(7)(5)-1
86+2-(7)(5)-1
88-(7)(5)-1
88-35-1
53-1
52
THE ANSWER TO YOUR PROBLEM!
52
THE ANSWER TO THE ANSWER TO YOUR PROBLEM!
10^2=100
10^2+14=114
10^2+4-18=86
10^2+4-18+2=88
10^2+4-18+2-7=81
10^2+4-18+2-7*5=83
10^2+4-18+2-7*5-1=52!
Hope i helped!-Animefan28
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = playing time of jazz CDs
SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = [tex]\frac{45-52}{7}[/tex] = -1
For 59 minutes, z-score is = [tex]\frac{59-52}{7}[/tex] = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
What is 40% of 260..
Answer:
104
Step-by-step explanation:
40 x 260 /100 = 104
Answer:
104
Step-by-step explanation:
40% of 260=
40/100 x 260=
10400/100=
104