Answer:
[tex]x = 8.64^o[/tex]
Step-by-step explanation:
Given
The attached rectangle
Required
Find x
To do this, we make use of:
[tex]11x - 5 = 90[/tex] ---- angle at diagonal
Collect like terms
[tex]11x = 5 + 90[/tex]
[tex]11x = 95[/tex]
Solve for x
[tex]x = \frac{95}{11}[/tex]
[tex]x = 8.64^o[/tex] --- approximated
Will reward points!!! Someone please help me!!
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
Enter the slope-intercept equation of the line shown below
Answer:
Step-by-step explanation:
y = -2x - 4
If a1 = 6 and an
-5an-1 + 4 then find the value of a4.
Help
Answer:
A4
Step-by-step explanation:
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
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=±1give 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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Find the missing side of each right triangle (Pythagorean’s #Theorem)
Answer:
3
Step-by-step explanation:
The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.
a^2 + b^2 = c^2
√27^2 - b^2 = 6^2
27 - b^2 = 36
-27 -27
b^2 = 9
b^2 = √9
b = 39. Find the length AD of the shape given below, giving your answer correct to 2
decimal places.
Answer:
Length of AD = 10.47 meter (Approx.)
Step-by-step explanation:
Given:
Triangle ACB is a right angle triangle
Length of AC = 14.8 m
Length of CB = 5.5 m
Length of CD = 6.4 m
Find:
Length of AD
Computation:
Using Pythagorean theorem
Base = √Hypoteneus² - Perpendicular²
Length of AB = √14.8² - 5.5²
Length of AB = 13.74 m
Length of DB = √6.4² - 5.5²
Length of DB = 3.27
Length of AD = Length of AB - Length of DB
Length of AD = 13.74 - 3.27
Length of AD = 10.47
Length of AD = 10.47 meter (Approx.)
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
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)
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
A 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:
:))
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]
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
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
Numerical expressions for add 12 to 8 then multiply by 5
Answer:
(12 + 8) x 5
Step-by-step explanation:
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:
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.
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:
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.
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.
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
What is the area of the circle? *.
Answer:
19.63cm²
Step-by-step explanation:
1/4 x π x 5² = 19.63495cm²
= 19.63cm²
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 :)
I have no idea what this is.
g(-9)
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
What will be the coordinates of the image after a translation up 4 units and right 6 units
Answer:
B
Step-by-step explanation:
To find the answer, translate each point and then use the process of elimination.
For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.
For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.
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