Answer: 83 degrees
Step-by-step explanation:
In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:
[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]
[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]
Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:
[tex]x=arccos(\frac{1}{8} )[/tex]
[tex]x=83[/tex]
What is the area of the shape below?
Answer:
A = 192 units²
Step-by-step explanation:
the figure is a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height between the bases and b₁, b₂ are the bases
here h = 12 , b₁ = 12 , b₂ = 20 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²
please help me
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
Enter you answer as a number, like this: 42
Answer:
8
Step-by-step explanation:
I bolded what I think is important to know.
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot
Answer:
5 percent of 12 is 0.6
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
total = 12/12
p(shot) = 5/12
p(not making shot) = 7/12
because
12/12 - 5/12 = 7/12
Hope this helped!
Tara runs along a straight running path at a constant rate of 410
feet per minute. Which graph represents Tara's run?
Please can you help me ?!asap!!!
Answer:
Looks like A
Step-by-step explanation:
Write (x^2) ^4without exponents
Answer:
[tex]x * x + x * x * x * x = y[/tex]
The formula for finding exponents is multiply the number following the exponent by itself that number of times.
Solve for a
SOLVE ASAP!!
Have a good rest of your Day
John, Cindy, and Isaiah went to the store to buy school supplies. John bought 2 pens, 3 folders, and 4 notebooks for a total of $20. Cindy bought 5 folders and 5 notebooks for a total of $25. Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11
Using a system of equations, it is found that:
Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: The cost of a pen.Variable y: The cost of a folder.Variable z: The cost of a notebookJohn bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:
2x + 3y + 4z = 20.
Cindy bought 5 folders and 5 notebooks for a total of $25, hence:
5y + 5z = 25.
x + z = 5.
x = 5 - z.
Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:
3x + y + 2z = 11.
y = 11 - 3x - 2z
Replacing the second and the third equation on the first, we have that:
2x + 3y + 4z = 20.
2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.
10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.
2z + 3(11 - 15 + 3z - 2z) = 10
2z + 3(z - 4) = 10
5z = 22.
z = 4.4
x = 5 - z = 5 - 4.4 = 0.6
y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.
Hence:
Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.More can be learned about a system of equations at https://brainly.com/question/24342899
Bill drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 5 hours?
Answer:
Step-by-step explanation:
605/11 = x/5
11x = 3025
x = 275 miles
Answer:
275 miles
Step-by-step explanation:
Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time
We can find that ,
Speed = 55 miles/hours
So , In 5 hours he will drive
Distance = Speed × Time
Distance = 55 × 11
Distance = 275 miles
Please answer number 6. Thank you.
who can answer? ill give brainlist
Answer:
2.23
Step-by-step explanation:
we get this by making the fraction a decimal and finding out the value of each section
Freida tossed a coin 3 times and it always landed on head. Fine the probability of tossing a head.
Answer: 1/2
Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.
This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2
Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.
Answer:
[tex]\huge\boxed{\sf -2.280}[/tex]
Step-by-step explanation:
Finding value of log₃(4/49):
[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]
Given that:
log₃4 ≈ 1.262, log₃7 ≈ 1.771
Put the values in the above expression
[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]
Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by the function y= 1/8(x^2-4) where x and y are measured in feet. The x-axis represents the top of the opening dish.
Write a quadratic function that models the cross section of the satellite dish that is 6 feet wide and 1.5 deep.
The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
How to determie the equation of the cross-section?The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
https://brainly.com/question/1497716
is 56/72 and 7/9 proportional
Answer:
Yes.
Step-by-step explanation:
7 x 8= 56
9 x 8= 72
56/72 is proportional to 7/9
Answer:
[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional
Step-by-step explanation:
In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.
contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?
Answer:
1200
Step-by-step explanation:
Answer:
$13200
Step-by-step explanation:
1200$ = 100
? =1100
(1200*1100) ÷ 100
(1 320 000) ÷100
$13200
On a coordinate plane, how are the locations of the points (-5 , -3) and (5 , -3) related? A. Reflection across both axes B. Locations unrelated C. Reflection across the x-axis D. Reflection across the y-axis
Answer:
D. Reflection across the y-axis
Step-by-step explanation:
In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.
find the sum of all even numbers between 1 to 350
PLS PLS PLS HELP ME!!!
Answer:
68.
Step-by-step explanation:
90-degree angles.
90 - 22 = 68.
Equations, graphs, Slopes and y-intercepts : application
Answer:
[tex]\sf y= \dfrac{1}{2}x-5[/tex]
Explanation:
coordinates taken: (0, -5), (6, -2)slope:
[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]
[tex]\rightarrow \sf \dfrac{1}{2}[/tex]
equation in slope intercept form:
y = m(x) + b [ where "m is slope", "b is y-intercept" ][tex]\sf y= \dfrac{1}{2}x-5[/tex]
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find slope, we use points on the line.
Here, I will be suing (-6, -8) and (8, -1)
[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{2} x+b\\[/tex]
Now, we use either of our points (-6, -8) OR (8, 1) to find b.
I will be using (8, -1):
[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]
[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]
Check your answer manually: (-6, -8)
[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
Question in picture below.
Matt has rode his bike 700 meters from the front of the church. He has rode his bike for how many centimeters?
70,000 centimeters
Step-by-step explanation:
1 meter = 100 centimeters
700 x 100 =70,000
PLEASE HELP ASAP
84 = h – 8
h =
Hello!
Let's solve this equation:
84=h-8
This is the same as
h-8=84
Add 8 to both sides:
h=84+8
h=92
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Find the critical t-value that corresponds to % confidence. Assume degrees of freedom
Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.
How to find the critical value for a t-distribution confidence interval?It is found with the help of a calculator, having two inputs:
The confidence level.The number of degrees of freedom, which is one less than the sample size.Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.
More can be learned about the t-distribution at https://brainly.com/question/16162795
What is x in this equation -3x+7 = 1
what is 0.63 divided by 0.21 (can you please show work)
[tex]\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3[/tex]
Answer: in the file
Step-by-step explanation: in the file
Find the highest number which divides 144,384 and 432 without leaving remainder
Answer:
i think its 48
since 144384 divided by 48 would be 3008 and 432 divided by 48 would be 9. I believe thats the highest it can go to.
Can someone help me out please
is x+4 a factor of P(x)=4x^2-4x+8?
Answer:
(x^3-2x^2-4)*(x+2)
Step-by-step explanation:
Complete the sentence.
13. The slopes of perpendicular lines are?
Answer:
negative reciprocals of each other
Step-by-step explanation:
internet
PLS HELP ME I WILL MARK THE BRAINLIEST
Answer:
1. 155 yd², 2. 379.54 ft², 5. x = 65.82π
Step-by-step explanation:
1. A = (1/2) · (3 + 13) · 8
A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²
2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²
3. and 4. Sorry, I don't know how to solve these
5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π
Hope this helps :)