Answer:
x ≈ 80.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{300}[/tex] ( multiply both sides by 300 )
300 × tan15° = x , then
x ≈ 80.4 ( to the nearest tenth )
How do I simplify this radical?
Answer:
Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.
A communications company is building a 30-foot antenna to carry cell phone transmissions. As shown in the diagram
below, a 50-foot wire from the top of the antenna to the ground is used to stabilize the antenna.
Find, to the nearest degree, the measure of the angle that the wire makes with the ground.
Answer:37
Step-by-step explanation: it’s
Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both?
(The point is (2,5))
Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given
[tex]2x - y = -1[/tex]
[tex]y =5x - 5[/tex]
Required
Verify that: [tex](x,y) = (2,5)[/tex] is a solution
We have:
[tex]2x - y = -1[/tex]
Substitute: [tex](x,y) = (2,5)[/tex]
[tex]2 * 2 - 5 = -1[/tex]
Evaluate all products
[tex]4 - 5 = -1[/tex]
Subtract:
[tex]-1 = -1[/tex]
Because both sides of the equation are equal, then the point is a solution
Also: [tex]y =5x - 5[/tex]
Substitute: [tex](x,y) = (2,5)[/tex]
[tex]5 = 5 * 2 - 5[/tex]
Evaluate all products
[tex]5 = 10 - 5[/tex]
Subtract:
[tex]5 = 5[/tex]
Because both sides of the equation are equal, then the point is a solution
Because the given point is a solution to both equations, then they are simultaneous equation
Find the mean of the data in the dot plot below.
Answer:
the mean is 83.6
Step-by-step explanation:
Answer:
The mean is 83.6 cm
Step-by-step explanation:
81 + 83 +84 + 85 + 85 = 416
416 divided by 5 = 83.6
find the 12th term in the sequence: 1/16, -1/8, 1/4
Answer:
Step-by-step explanation:
hello :
the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =2 A1 = 1/16
when : n =12 you have the 12rd term A12
A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)
Megan's text messaging plan costs $5 for the first 700 messages and 30¢ for each additional text message. If she owes $63.20 for text messaging in the month of January, how many text messages did she send that month?
Answer:
Fixed cost $14 -350 messages
variable $ 0.25 each message i think
Step-by-step explanation:
Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)
Answer:
A. 55°
hope it can help you
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer
For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, the shorts cost $9.10, and the shoes cost $5.50. Cameron has $2.30. How much more money does Cameron need?
Add the three items he wants to buy:
4.95 + 9.10 + 5.50 = 19.55
Subtract how much he has already:
19.55 - 2.30 = 17.25
He needs $17.25 more
Solve the following system of equations.
-3x+5y=-7
-7x-9y=25
Answer:
(x,y)=(-1.-2)
Step-by-step explanation:
Using the elimination method:
-27x+45y=-63
-35x-45y=125
---------------------
-62x=62-->x=-1
-3*(-1)+5*6=-7-->y=-2
In a random sample of 8 residents of the state of Montana, the mean waste recycled per person per day was 3.0 pounds with a standard deviation of 0.23 pounds. Determine the 99% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
at 99%, Confidence interval is ( 2.716, 3.285 )
( 2.716 < μ < 3.285 )
Step-by-step explanation:
Given the data in the question;
sample size n = 8
mean x' = 3.0
standard deviation σ = 0.23
To calculate the confidence interval, we use the following expression;
x' ± [tex]t_{\alpha /2, df[/tex]( σ/√n) ------- let this be equation
now, at 99% confidence interval;
∝ = 1 - 99% = 1 - 0.99 = 0.01
degree of freedom df = n - 1 = 8 - 1 = 7
hence t-critical value = 3.499
in equation 1, we substitute in our values;
⇒ 3.0 ± 3.499( 0.23/√8 )
⇒ 3.0 ± 0.2845
⇒ 3.0 - 0.2845, 3.0 + 0.2845
⇒ ( 2.7155, 3.2845 )
Therefore at 99%, Confidence interval is ( 2.716, 3.285 )
( 2.716 < μ < 3.285 )
Has any one done this or have an idea what its even asking?
Answer: Its asking for the combination for the shapes like WXYX (example) ( I think) just search it up because I cant help much
Step-by-step explanation: j
What is the measure of
162
A. 324°
B. 162°
O C. 81°
D. 72°
Answer:
81
Step-by-step explanation:
trust me its correct
Answer:
C. 81
Step-by-step explanation:
Just took the test the person is correct
PLS HELP!!!!
7x=28
x/9=3
5x=125
14=x÷2
8x=40
Answer:
7x=28
x = 4
x/9=3
x = 27
5x=125
x = 25
14=x÷2
x = 28
8x=40
x = 5
There are 1125 members in a mountaineering club. The club's secretary surveys 72 randomly
selected members and finds that 63 members are in favor of holding a used gear sale.
a.
Describe the population and the sample
b. What percent of the members in the ample are in favor of holding a used-gear sale?
С.
Estimate the number of club members who would be in favor of holding a used-gear sale.
Answer:
hmmm
Step-by-step explanation:
not sure man
Please help me with this and fast!
Answer:
16
5
O
I think
Step-by-step explanation:
help please ! solve for u and simplify the answer
Answer:
u = 5
Step-by-step explanation:
[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]
We want to solve for u. This means we need to isolate u on one side of the equation.
To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.
[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]
Multiply the numerators and denominators separately.
4 • 15 = 60
5 • 1 = 5
[tex]u + 7 = \frac{60}{5}[/tex]
Simplify the fraction.
60 ÷ 5 = 12
u + 7 = 12
Subtract 7 from both sides.
u = 5
Check your work by plugging u = 5 back into the original equation.
[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]
[tex]\frac{12}{15} = \frac{4}{5}[/tex]
[tex]0.8 = 0.8[/tex]
Your answer is correct.
Hope this helps!
Answer:
5 is your answer for u.
Step-by-step explanation:
Note the equal sign, what you do to one side of the equation, you do to the other.
First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):
[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]
First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:
[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]
Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:
[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]
what is the equation of the line?
Answer:
it is D ithought sinse for x=0 y=0 and for x=4 y=-2 (-1/2 x4 =-2 )and others didnot give correct nbs
PLEASE I HAVE BEEN TRYING ALL NIGHT AND ITS PAST DUE I CANNOT FIGURE THIS OUT!!!
Answer:
Scale Factor:1/3
A(-6,0)->A'(-2,0)
B(-3,-3)->B'(-1,-1)
C(-9,-6)->C'(-3,-2)
This scale factor is reduced
Scale Factor:2
A(-6,0)->A'(-12,0)
B(-3,-3)->B'(-6,-6)
C(-9,-6)->C'(-18,-12)
This scale factor is enlarged
Help plzz will mark brainleast
Answer:
rectangular prism
Step-by-step explanation:
maybeeee
sorry if it wrong :l
Which equation is not equivalent to 2x + 14 = 4x– 6
14 + 6 = 2x
-2x= 20
2x – 4x= -20
X = 10
Dan made 8 out of 10 free throws. What is the experimental probability that he will not make his next free throw? What is the theoretical probability of not making a free throw?
Answer:
8/10--> 2/10 20 % scnahce of not makin git
Step-by-step explanation:
Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation:
g(x) = –24 + 2x3 + 5x2 - 1
End of behavior
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
[tex]bit.^{}ly/3dXyuz8[/tex]
Ethan buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 7 sugar
cookies, and 7 oatmeal cookies.
What is the probability that Ethan feaches in the bag and randomly selects an oatmeal cookie from the
bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Round your answer
to four decimal places.
Answer:
0.0603
Step-by-step explanation:
probabilty ethan picks an oatmeal and peanut butter cookie = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie
probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies
probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies
total number of cookies = 7 + 7 + 7 + 8 = 29
probability of selecting an oatmeal cookie = 7/29
probability of selecting a peanut butter cookie = 7/28
after eating oatmeal cookies, the amount of cookies would reduce by 1
7/29 x 7/28
what kind of angle does an acute triangle have
Answer:
An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.
hope this answer helps you.....
FInd the unknown value of:
18 = 3 + x
x = ?
the answer to the equation is x=15
Susan traveled 57.9 miles each day for the past 7 days. How many miles did she travel in all?
Answer:
Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles
Answer: 405.3 miles
Help please !!! I don’t know what to do
9514 1404 393
Answer:
6. x = 3
8. x = -7.5
Step-by-step explanation:
Put the number in place of the expression it is equal to, then solve for x.
__
6) g(x) = -x +5
2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2
x +2 = 5 . . . . . . . . . . add x to both sides
x = 3 . . . . . . . . . . . . . subtract 2 from both sides
__
8) n(x) = -2x -21
-6 = -2x -21 . . . . . n(x) is replaced by its equal: -6
3 = x +10.5 . . . . . . divide both sides by -2
-7.5 = x . . . . . . . . . subtract 10.5 from both sides
_____
Additional comment
We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...
2 -x +5
-3 = -x . . . . subtract 5
3 = x . . . . . . multiply by -1
The way we did it avoids negative numbers.
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y