Answer:
192π yd²
Step-by-step explanation:
Surface area of a cylinder = 2πrh
Given, r = 8yd , h = 12yd
S. A = 2 × π × 8 × 12
S. A = 192π yd²
I hope this was helpful, please mark as brainliest
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
3 tan(θ) sin(θ) − 2 tan(θ) = 0
Answer:
Note from question, Let K be any integer. Integer = 1
θ = πk
θ = 3.142 * 1
θ = 3.142 in three decimal places
θ = sin⁻¹ (2/3) + 2kπ
θ = sin⁻¹0.667 + 2*1*3.142
θ = 0.718 + 6.284
θ = 7.002 in three decimal places
∴ 7.002 , 3.142
Step-by-step explanation:
Considering the equation
3 tan(θ) sin(θ) − 2 tan(θ) = 0
The objective is to solve the equation.
First solve the equation in one period.
3 tan(θ) sin(θ) − 2 tan(θ) = 0
( 3sinθ − 2 ) tanθ = 0
Therefore, 3sinθ − 2 = 0 also tanθ = 0
=> sinθ = 2/3 , tanθ = 0
Pick the right equation.
tanθ = 0
θ = tan⁻¹ 0
θ = 0
Using the unit circle, the period of tangent functions is π
Then the general solution of the equation is θ = 0 + πk ==> θ = πk
Pick the left equation.
3sinθ − 2 = 0
3sinθ = 2
sinθ = 2/3
θ = sin⁻¹ (2/3)
As the sine function has period 2π
Then the general solution is θ = sin⁻¹ (2/3) + 2kπ
A triangle has side lengths of 11 inches, 15 inches, and 20 inches. Find the angle measures of the triangle. Round decimal answers to the nearest tenth.
Answer:
I don't know but I have the equations. (also Im going to assume you know a bit of trig)
Step-by-step explanation:
You have to use law of cosines.
a=11
b=15
take these equations and plug in the variables
a^2=b^2+c^2-2bc cos(a)
b^2=a^2+c^2-2ac cos (b)
c^2=a^2+b^2-2ab cos(c)
you will get something along the lines of
something=cos a
something=cos b
something=cos c
then in a calculator you push inverse cos or cos-1(x) and input the "something" into as x and that answer should be one angle, and repeat it for the rest of the three values.
If you flip a coin and roll a
6-sided die, what is the probability that you will flip a heads and roll an even number?
Answer:
the answer is 1/4
Step-by-step explanation:
1/2 *3/6=1/4
Solve: 4/3 x −4 = 5 + x A) 0.5 B) 2 C) 18 D) 27
Answer:
D) 27
Step-by-step explanation:
1. add 4 on both sides to leave 4/3x by itself
2. subtract x on both sides to cancel x on the right side
3. multiply 3 ton both sides to cancel out fraction
Answer:
d(27)
Step-by-step explanation:
one foot is equal to 1/3 of a yard. What is the decimal equivalent to 1/3? 1.3, 1,
Answer:
0.33333333333
Step-by-step explanation:
Typing 1/3 in a calculator gives 0.333333333333
Which is the length of the arc MPN expressed in terms of pie?
The arc MPN is a major arc, and the length of arc MPN is 79/9π
How to determine the arc length?The given parameters are:
Ф = 360 - 44
Radius, r = 5
The arc length is then calculated using:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
[tex]L = \frac{360 - 44}{360} * 2\pi * 5[/tex]
[tex]L = \frac{316}{360} * 2\pi * 5[/tex]
Evaluate the product
[tex]L = \frac{3160}{360} \pi[/tex]
Divide
[tex]L = \frac{79}9 \pi[/tex]
Hence, the length of arc MPN is 79/9π
Read more about arc lengths at:
https://brainly.com/question/15589041
#SPJ2
You want to buy 2 blue baseball caps which has a price tag of $30.50 each from Clovis's hat store, Of sales tax is 8.6 percent, how much will you pay for the two blue baseball caps?
Answer:
66.25
Step-by-step explanation:
30.50 times 2 is 61 that’s for two caps
61 times 1.086 (1 is for the amount you are actually going to pay .086 is what percent is because you have to move the decimal over two when you are changing percent to decimal) and that comes out to 66.246. you round the 4 to 5 to get to nearest cent and comes out to be 66.25
Answer: $66.25
Step-by-step explanation:
Two baseball cap at $30.5 each is $30.5 ×2 = $61
Sales tax at 8.6% = 8.6/ 100= 0.086
Sales tax = 0.086 × 61
= 5.246
Total amount to be paid = $66. 25
Alex is making puppets for a show. He bought all the string needed for $125.It costs $18 for the remaining materials to make each puppet. What is the total cost to make 50 puppets
Answer:
900
Step-by-step explanation:
ANSWER: y
=
125
+
900
50
=
$
20.5
Step-by-step explanation: Cost of each puppet =
$
20.5
Explanation:
The number of puppets :
50
-------(given)
Let cost of each puppet be
y
So, total cost will be
50
y
He brought all string needed for
$
125
He needs to invest
$
18
for EACH puppet for the remaining material, i.e.
18
×
50
=
$
900
is the total extra investment to be done.
So total cost will be :
125
+
900
=
50
y
#therefore cost of each puppet will be :
Kevin will take 4 math tests this term. All of the tests are worth the same number of points. After taking the first 3 tests, his mean test score is 88 points. How many points does he need on his last test to raise his mean test score to 90 points?
Answer:
Kevin needs 96 points on his last test to raise his mean test score to 90 points.
Step-by-step explanation:
we know that
The mean score is the total of all scores divided by the total number of tests.
Let
x_1 ----> the score in the first math test
x_2 ----> the score in the second math test
x_3 ----> the score in the third math test
x_4 ----> the score in the fourth math test
we have
After taking the first 3 tests, his mean test score is 88 points
so
[tex]\frac{x_1+x_2+x_3}{3} =88[/tex]
[tex]x_1+x_2+x_3=264[/tex] ----> equation A
How many points does he need on his last test to raise his mean test score to 90 points?
so
[tex]\frac{x_1+x_2+x_3+x_4}{4} =90[/tex]
[tex]x_1+x_2+x_3+x_4=360[/tex] ----> equation B
substitute equation A in equation B
[tex]264 + x_4 = 360[/tex]
solve for x_4
[tex]x_4 = 360-264[/tex]
[tex]x_4 = 96[/tex]
Therefore
Kevin needs 96 points on his last test to raise his mean test score to 90 points.
each day alyssa jogs for 25 minutes on a treadmill she jogs 135 meters a minute at the speed at which alyssa is jogging how many centimeters does she jog each second
Answer: she is jogging 2.25 i think
Step-by-step explanation:
im sorry im not sure i just divided 135 by 60 but i dont think its right:(
Consider a distance and time graph whose y-axis is distance and x-axis is time. What do you know about a runner's motion at the time when a segment of the graph is horizontal?
a) The runner is moving at a steady rate.
b) The runner is slowing down.
c) The runner is speeding up.
d) The runner has stopped.
e) The runner is running very slowly
somebody pleaseee help its due in 9 mins
Answer:
the answer is d.) the runner stopped
Step-by-step explanation:
because the distance is staying the same but the time is changing wich means the runner isn't moving for a period of time.
What is the expression?
Answer: x + 4
5x
Step-by-step explanation:
The first one is "x + 4" because you are adding 4 to the 1st number
The second one is "5x" because you are multiplying 5 to the 2nd number.
2) f(x) = x² **
g(x)= 3x – 2
Find f(g(-4)
Answer:
[tex]f(g( - 4)) = 196[/tex]
Step-by-step explanation:
The functions are;
[tex]f(x) = {x}^{2} [/tex]
and
[tex]g(x) = 3x - 2[/tex]
We want to find
[tex]f(g( - 4))[/tex]
First we find g(-4) to get:
[tex]g( - 4) = 3 \times - 4 - 2[/tex]
[tex]g( - 4) = - 12- 2[/tex]
[tex]g( - 4) = - 14[/tex]
Now
[tex]f(g( - 4)) = f( - 14)[/tex]
This implies that,
[tex]f(g( - 4)) = {( - 14)}^{2} [/tex]
[tex]f(g( - 4)) = {( - 14)} \times - 14[/tex]
[tex]f(g( - 4)) = 196[/tex]
if £1 is 1.18 euros how much pounds will theo get if he has 407.10 euros
Answer:
345.
Step-by-step explanation:
Just divide 407.10 by 1.18 and you'll get your answer.
2. What type of transformations moves P (3,-7) to P"(3,7)
Reflection
Rotation
Dilation
None of above
The type of transformation that moves P (3,-7) to P'' (3,7) is a reflection. The point has been flipped over the x-axis.
Explanation:The type of transformation which moves point
P (3,-7)
to
P'' (3,7)
is a
reflection
. It appears that point P has simply been flipped over the x-axis. The x-coordinate remains unchanged at 3, but the y-coordinate has been reflected to the opposite side of the x-axis, changing it from -7 to 7. So, a reflection over the x-axis is the correct transformation in this case. The transformation that moves point P (3,-7) to P'' (3,7) is a reflection over the x-axis. When a point is reflected in the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. In this case, when the y-coordinate of P changes from -7 to 7, it means that P was reflected over the x-axis.
Learn more about Reflection here:https://brainly.com/question/24330311
#SPJ2
What is 24+ 2X equals 31
First, subtract 24 from 31.
31 - 24 = 7
Now divide 7 by 2.
7 ÷ 2 = 3.5
Plug 3.5 into the equation to check.
24 + (3.5 × 2) = 31
x = 3.5
The park has a circular track with a radius of 7.6 yds. How many whole yards of fencing would they need to purchase to enclose the track? Use = 3.14
Answer:
48 yards
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=7.6\ yd\\\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(7.6)=48\ yd[/tex]
Answer: 48 yards
Step-by-step explanation:
The circumference of a circle can be calculated with the following formula:
[tex]C=2\pi r[/tex]
Where "C" is the circumference of the circle and "r" is the radius of the circle.
In this case you know that the radius of the circular track is the following:
[tex]r=7.6\ yd[/tex]
Knowing tha radius, you can substitute it into the formula (According to the information given in the exercise, you need to use [tex]\pi =3.14[/tex])
[tex]C=2(3.14)(7.6\ yd)[/tex]
Finally, you need to evaluate.
Therefore, you get that the whole yards of fencing that they need to purchase to enclose the track is:
[tex]C\approx48\ yd[/tex]
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference = 150 m
What is the measure of its radius?
Answer:
[tex]2\pi \times \: r = 150 \\ 6.2831r = 150 \\ \frac{6.2831r}{6.2831} = \frac{150}{6.2831} \\ r = 23.87cm[/tex]
Answer:
23.9
Step-by-step explanation:
circumference = Diameter · Pie
150 = X · pie
divide both sides by pie(use the accrual symbol on a calc) and you get 47.7 as the diameter then divide 47.7 by 2 and you get 23.9 as you radius
If (x, y) is a solution to the system of equations, what is the value of y? 1/4 x + 1/8 y = 2 1/3 x + 1/2 y = 4 A) 4 B) 6 C) -6 D) -4
Solution:
Given system of equations are:
[tex]\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2[/tex]
We have to find value of y
From eqn 1,
[tex]\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3[/tex]
From eqn 2,
[tex]\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4[/tex]
Subtract eqn 3 from eqn 4
2x + 3y = 24
2x + y = 16
( - ) -----------------
2y = 8
y = 4
Thus value of y is 4
What is the equation of the line parallel to 3x + 2y = -4 that goes through the point (4, -1)?
Answer:
y=-3/2x+5
Step-by-step explanation:
3x + 2y = -4
2y=-4-3x /:2
y=-4/2-3x/2
y=-3/2x-2
Slope=-3/2(=m) , because this line is parallel slope is the same, then
y-y1=m(x-x1) ,where
A(4,-1).... x1 =4, y1 =-1
y-(-1)=-3/2(x-4)
y+1=-3/2x+3/2*4
y+1=-3/2x+6
y=-3/2x+6-1
y=-3/2x+5
How do I use successive approximations ?
Answer:
assume an approximate value for the variable that will simplify the equation.
solve for the variable.
use the answer as the second approximate value and solve the equation again.
repeat this process until a constant value for the variable is obtained.
At a pet store, the ratio of female birds to male birds was 7:4. Write a sentence explaining what this means.
In triangle abc the length of side ab is 19 inches and the length of bc is 28 inches. What is the length of ac
Without knowing the type of triangle or the values of the angles, we can only provide a possible range of values for side AC of triangle ABC, which is between 9 inches (in case of an acute triangle) and 47 inches (in case of an obtuse or right angled triangle). For accurate calculation, more detail is necessary.
Explanation:The question pertains to determining the length of the side AC in a triangle ABC. Given are the lengths AB and BC so without additional details such as the angle values or the nature of the triangle, we cannot definitively determine the length of side AC. Such a calculation usually requires the use of trigonometric calculations or the Pythagorean theorem which applies only to right triangles. However, we can establish a range for the possible length of side AC.
If the triangle ABC is obtuse or a right triangle with the right angle at point B, the length of AC (AB+BC) could be up to 47 inches (19 inches + 28 inches). On the other hand, if it is an acute triangle, the length of AC (BC-AB) would be a minimum of 9 inches (28 inches - 19 inches). Please provide more details or check if it's a right triangle for a more specific calculation.
Learn more about Triangle side calculation here:https://brainly.com/question/30193427
#SPJ12
The correct option is D (52 inches) satisfies all conditions of the triangle inequality theorem.
To determine which length of side AC could form a triangle with sides AB = 19 inches and BC = 28 inches, we apply the triangle inequality theorem:
1. Triangle Inequality Theorem:
- For any triangle with sides [tex]\( a \), \( b \),[/tex] and [tex]\( c \)[/tex]:
- [tex]\( a + b > c \)[/tex]
- [tex]\( a + c > b \)[/tex]
- [tex]\( b + c > a \)[/tex]
2. Checking the options:
- Option A: 42 inches
- [tex]\( 19 + 42 = 61 > 28 \)[/tex]
- [tex]\( 19 + 28 = 47 > 42 \)[/tex]
- [tex]\( 42 + 28 = 70 > 19 \)[/tex]
- Valid
- Option B: 7 inches
- [tex]\( 19 + 7 = 26 < 28 \)[/tex]
- Invalid (Does not satisfy [tex]\( AB + AC > BC \)[/tex])
- Option C: 49 inches
- [tex]\( 19 + 49 = 68 > 28 \)[/tex]
- [tex]\( 19 + 28 = 47 < 49 \)[/tex]
- Invalid (Does not satisfy [tex]\( AB + BC > AC \)[/tex])
- Option D: 52 inches
- [tex]\( 19 + 52 = 71 > 28 \)[/tex]
- [tex]\( 19 + 28 = 47 < 52 \)[/tex]
- [tex]\( 52 + 28 = 80 > 19 \)[/tex] Valid
3. Conclusion:
- The lengths of side AC that satisfy the triangle inequality theorem and can form a triangle with sides AB = 19 inches and BC = 28 inches are 42 inches and 52 inches.
The complete question is:
In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the length of side AC? A. 42 inches B. 7 inches C. 49 inches D. 52
What is the quotient? 2 and one-fifth divided by negative StartFraction 1 over 10 EndFraction –22 Negative StartFraction 11 over 50 EndFraction StartFraction 11 over 50 EndFraction 22
Answer: i think the answer is -22 which is A
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
I put it in decimal form so it would be like this.2.20 dived by -.10 and got -22
-6(1-3n) - 4n = -34 + 7n
The answer is n= -4. It shows the work to get -4
Solve fro X -3x + 4 = -8
Answer:
X = 4
Step-by-step explanation:
Solve for x.
-3x + 4 = -8
Make sure to subtract both sides.
-3x (+4 -4) = -8 - 4
-3x= -12
Divide by -3 on both sides.
-3x/-3 = -12/-3
x = 4Answer:
4
Step-by-step explanation:
-3x + 4 = -8
Subtract 4 from both sides
-3x + 4 - 4 = -8 - 4
-3x = -12
Divide both sides by by -3
x = -12/-3
x = 4
Is a temperature of -11 degrees warmer or colder than a temperature of -15 degrees? *
Answer:
warmer
Step-by-step explanation:
-11 is closer to zero the -15
Answer:
warmer
Step-by-step explanation:
-15 is colder.
Two fire trucks on the ground on either side of a burning building are 1.3 miles apart. They each measure the angle of elevation to the fire, which are 58 degrees and 52 degrees. How far is each truck from the fire. Step by step explanation.. Please..Thanks..
Answer:
A-0.5777miles
B-0.7223miles
Step-by-step explanation:
Let A be truck with 58°, B be truck with 52° elevation and C be the position of the fire. We know that the AB is 1.3 miles apart.
-Using sine rule, we find the length of AB and BC as:
[tex]\angle C=180-(58+52)=70\textdegree\\\\\frac{a}{sin \ A}=\frac{b}{sin \ B}=\frac{c}{sin \ C}\\\\\frac{1.3}{sin \ 70}=\frac{b}{sin \ 52}\\\\b=\frac{1.3 sin \ 52}{sin 70}=1.0902mi\\\\\\c=\frac{1.3 sin \ 58}{sin 70}=1.1732[/tex]
#Bisect angle C, and use sine rule again to find the lengths of bisected AB:
[tex]\frac{a}{sin \ A}=\frac{b}{sin \ B}=\frac{c}{sin \ C}\\\\\frac{1.0902}{sin \ 90}=\frac{x}{sin \ (90-58)}\\\\x=\frac{1.0902\ sin \ 32}{sin \ 90}=0.5777mi[/tex]
Truck B's position is calculated as 1.3mi-0.5777miles=0.7223miles
Hence, truck one is 0.5777miles and truck two is 0.7223 miles from the fire.
The mean of a distribution is 276, while the median is 231. Which of these
statements is likely to be true about the distribution?
Answer:
The distribution positively skewed
Step-by-step explanation:
We have the mean of a distribution to be 276, while the median is 231.
When compare the mean and median,
we gave
276>231
Since the mean is greater than the median, the distribution is skewed to the right.
In other words, the the distribution is positively skewed.
Answer:
Positively skewed
Step-by-step explanation:
What is the image of Q for a dilation with the center (0,0) and a scale factor of 0.5?
A.) (0.5, 2.5)
B.) (2, 10)
C.) (1, 2.5)
D.) (10, 2)
Answer: OPTION A.
Step-by-step explanation:
A dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape, but they have different sizes.
In this case you know that the dilation is centered at the origin and the scale factor is:
[tex]k=0.5[/tex]
Therefore, the rule is the following:
[tex]Q(kx,ky)[/tex]
You can identify in the figure attached that the point Q is:
[tex]Q(1,5)[/tex]
Therefore, you must multiply its coordinates by the scale factor 0.5 in order to get its Image Q'. This is:
[tex]Q'=(1*0.5,5*0.5)\\\\Q'=(0.5.2.5)[/tex]
Final answer:
The image of point Q for a dilation with a scale factor of 0.5 and center (0,0) is (option A) (0.5, 2.5).
Explanation:
To find the image of point Q, we need to apply the dilation equation: (x', y') = (k * x, k * y), where (x, y) are the coordinates of the original point and k is the scale factor.
In this case, the center of dilation is (0, 0) and the scale factor is 0.5. So, for point Q which has coordinates (x, y), the image coordinates (x', y') will be:
(x', y') = (0.5 * x, 0.5 * y)
Therefore, the image of point Q will be (option A) (0.5, 2.5).