Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
Step-by-step explanation:
cos(30) = Adj/hyp
cos(30) = 6 /x
x = 6 / cos(30)
x = 6 / ( [tex]\sqrt{3}[/tex]/ 2)
x = 12 / [tex]\sqrt{3}[/tex]
( 12 / [tex]\sqrt{3}[/tex] )^2 = 6^2 + y^2
( 12 / [tex]\sqrt{3}[/tex] )^2 - 36 = y^2
144/3 -36 = y^2
48-36=y^2
12 = y^2
[tex]\sqrt{12}[/tex] = y
In what form is the following linear equation written?
y=9x + 2
A. Standard
B. Rise-run
C. Slope-intercept
D. Point-slope
9514 1404 393
Answer:
C. Slope-intercept
Step-by-step explanation:
There are numerous forms of the equation of a line. Here are a few.
y = mx + b . . . . slope-intercept form; slope m, y-intercept b
y -k = m(x -h) . . . . point-slope form; point (h, k), slope m
ax +by = c . . . . standard form; mutually prime integers, a > 0
x/a +y/b = 1 . . . . intercept form; x-intercept a, y-intercept b
ax +by +c = 0 . . . . general form
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form; points (x1, y1), (x2, y2)
(y2 -y1)/(x2 -x1) = (y -y1)/(x -x1) . . . . you might call this rise-run form
__
The given equation best matches slope-intercept form; slope 9, y-intercept 2.
If a1 = 6 and an
-5an-1 + 4 then find the value of a4.
Help
Answer:
A4
Step-by-step explanation:
what instrument would you use to measure the following:speed
Answer:
speedometre
Step-by-step explanation:
it's used for mostly by police officer s
Answer:
Speedometer
Step-by-step explanation:
Mainly used to determine the speed of a vehicle
Hello Good morning can someone give me the answer of this operation?
39 + 1 - 24 / 6=
Also can you tell me the order? :> Thanks!!
Answer:
The answer is 36
Step-by-step explanation:
Because 39+1=40
So then 40-24=16
and then divided by 6 is 36 because when you divide you multiply
At one school, the average amount of time that spend watching television each week is The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours. Classify the hypothesis test as left-tailed, right-tailed, or two-tailed.
a. Two-tailed
b. Right-tailed
c. Left-tailed
Answer:
Left Tailed
Step-by-step explanation :
Hypothesis Testing is done to test statistical significance of a mathematical assumption. Null Hypothesis is neutral hypothesis, Alternate Hypothesis shows deviation from neutral (null) hypothesis.
Null Hypothesis [H0] : Mean TV time = 21.6 hours
Alternate Hypothesis [H1] : Mean TV time < 21.6 hours
In left tailed test, alternate hypothesis states value less than null hypothesis assumed value. In right tailed test, alternate hypothesis states value greater than null hypothesis assumed value. In two tailed test, alternate hypothesis states value unequal (greater or less than) null hypothesis assumed value.
So, this case has left tailed test.
A model rocket is launch from a platform 17 feet high in the initial velocity is 40 ft The path of the rocket is modeled by the equation 16x^2 +40X +17=0 When does the rocket land
Answer:
It will be in the air until P(x) is zero.
P(x) = -16x2 + 32x = -16x(x - 2)
P(x) = 0 ⇒ x = 0 or x = 2
It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.
Will reward points!!! Someone please help me!!
Enter the slope-intercept equation of the line shown below
Answer:
Step-by-step explanation:
y = -2x - 4
Simplify the following expression.
1/2 divided by 1/10
A. 1 whole 1/3
B. 1/20
C. 5
D. 1/5
Answer:
I got C.)5
Step-by-step explanation:
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The slope is 3 and the y-intercept is 4. How much more is the slope of function A than the slope of function B? 2 3 6 9
Answer:
6
Step-by-step explanation:
9 - 3 = 6
Answer: C
Step-by-step explanation:
Please help
Hassan jarred 12 liters of jam after 6 days. How many days does Hassan need to
spend making jam if he wants to jar 14 liters of jam in all? Assume the relationship
is directly proportional.
Answer: 7 days
Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days
Identify JK. JK and JM are tangent to W.
Answer:
B. 8
Step-by-step explanation:
Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.
Therefore:
JK = JM
Substitute
5x - 12 = x + 4
Collect like terms
5x - x = 12 + 4
4x = 16
4x/4 = 16/4
x = 4
✔️JK = 5x - 12
Plug in the value of x
JK = 5(4) - 12
JK = 20 - 12
JK = 8
please help will give brainliest !!
Complete the following Truth Table
p q r ~p ∧ ~q ∨ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)
Find value of x that will make a||b
Answer:
x = 4
Step-by-step explanation:
If line A is parallel to line B, therefore,
9x + 4 = 5x + 20 (alternate interior angles theorem)
Solve for x. Collect like terms together
9x - 5x = -4 + 20
4x = 16
Divide both sides by 4
4x/4 = 16/4
x = 4
Therefore, the value of x that will make lime A parallel to line B is 4
please help
-i think it’s equivalent but i’m not really sure
-will reward brainliest
Answer:
They're literally right on top of each other, u got this
Step-by-step explanation:
they are equivalent
4. Find the volume of the of the cylinder.
24
20
in
in
120
in
Answer:
[tex] V_{cylinder} =16,579.2\: in^3 [/tex]
Step-by-step explanation:
Inner radius [tex] (r_1)[/tex] = 20/2 = 10 in
Outer radius [tex] (r_2)[/tex] = 24/2 = 12 in
Height of the cylinder (h) = 120 in
[tex] \because V_{cylinder} =\pi( r_2^2-r_1^2) h[/tex]
[tex] \therefore V_{cylinder} =3.14(12^2-10^2) 120[/tex]
[tex] \therefore V_{cylinder} =376.8(12^2-10^2) [/tex]
[tex] \therefore V_{cylinder} =376.8(144-100) [/tex]
[tex] \therefore V_{cylinder} =376.8(44) [/tex]
[tex] \therefore V_{cylinder} =16,579.2\: in^3 [/tex]
Which expression is not equal to 30
Answer:
(2 * 60 / 30) * (24 + 2) is not equal to 30
Step-by-step explanation:
1. (9 * 10) / (4 + 1 ) + 12 = 30
2. 2 + (30 - 8 / 4) = 30
3. (2 * 60 / 30) * (24 + 2) = 104 [not equal to 30]
4. (120 / 20) * (2 + 3) = 30
Therefore, the third expression is not equal to 30.
Thenks and mark me brainliest :)
Two numbers have a difference of 12. The smaller of the two numbers is 3 less than double the other. What are the two numbers?
Answer:
-9,-21
Step-by-step explanation:
let the numbers be x and y and x>y
x-y=12
y=2x-3
x-(2x-3)=12
x-2x+3=12
-x=12-3
-x=9
x=-9
y=2(-9)-3=-18-3=-21
Numerical expressions for add 12 to 8 then multiply by 5
Answer:
(12 + 8) x 5
Step-by-step explanation:
The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
How many solutions does the following equation have? -2(-4x + 7) = -2 + 4x
Answer: Only 1
Step-by-step explanation: Isolate the variable. The solution is x=3.
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
Answer: 1
Step-by-step explanation:
If x = 0
then, f(x) = 1 - 0
f(x) = 1
x = ±1
Let f(x)=0
1-x²=0-x²=-1x²=1x=±1A line has a slope of -5 and has a point of (-2,2) and (-1, -3). Write the equation for the line in slope intercept form.
9514 1404 393
Answer:
y = -5x -8
Step-by-step explanation:
The y-intercept can be found from ...
b = y -mx
Using the first point, we have ...
b = 2 -(-5)(-2) = -8
Then the slope-intercept equation is ...
y = mx + b . . . . . . . . for slope m and y-intercept b
y = -5x -8
Answer:
the answer is
y=-5×-8
Step-by-step explanation:
:))
there are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them. how many kids own their own instrument?
Answer:
18 kids
Step-by-step explanation:
Plz help me well mark brainliest if correct!!...
Answer:C
Step-by-step explanation:
Extinct species tend to be fully gone or not seen in the wild for quite some time endangered would be a better answer for A
Hope this helps
What is the area of the circle? *.
Answer:
19.63cm²
Step-by-step explanation:
1/4 x π x 5² = 19.63495cm²
= 19.63cm²
give the other person brainiest please
Answer:
what??????????????????????
Step-by-step explanation:
Answer:
am pro am big brain two
:D
Step-by-step explanation:
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Lines that appear to be tangent are tangent. If O is the center of the circle, what is the value of x?
A. 240°
B. 60°
C. 140°
D. 120°
Answer:
a 240
Step-by-step explanation:
In our very first module, we looked at numeration systems and the different bases that various cultures used. The Babylonian system was base 60; the Mayan system was base 20 (almost); and our Hindu-Arabic system is base 10. You read in the Grace Hopper biography that computers use a base 2 system. In base 2, only two symbols are used, so all numbers are represented with 0s and 1s.
A. Change the number 100 (base ten) to a numeral in base two.
B. Change the number 1010101 (base two) to a numeral in base ten.
C. This is a fun problem! The moon is approximately 238,900miles from Earth.
Admiral Hopper explained to David Letterman that a nano-second is one-billionth of a second. The maximum distance that electricity (or light) can travel in one nano-second is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon? If the signal bounces right back, how long will it take for the signal to go to the moon and come back to Earth? In this episode, Leonard and the other guys send laser signal to the moon and back. Leonard will tell you how long it took for the signal to go to the moon and back.
Answer:
1100100 base 2
85 base 10
2.522784 seconds
Step-by-step explanation:
Convert 100 from base 10 to the base 2
Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.
2 | 100
2 | 50 r 0
2 | 25 r 0
2 | 12 r 1
2 | 6 r 0
2 | 3 r 0
2 | 1 r 1
__0 r 1
Arranging from the bottom : 1100100 base 2
100 base 10 = 1100100 base 2
1010101 base 2 to base 10
1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0
64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10
C)
1 mile = 5280 feets
Distance from earth to moon = 238900 miles
Distance in feets :
(5280 * 238900) = 1261392000 feets
Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets
Using the relation :
Speed = distance / time
Speed = 1 feet per nano second
Distance = 2522784000 feets
1 = 2522784000 / time
Time = 2522784000 nano seconds
Converting to second :
2522784000 / 1000000000
= 2.522784 seconds