Answer: [tex]\frac{10}{\sqrt{3}}[/tex]
This is equivalent to [tex]\frac{10\sqrt{3}}{3}[/tex]
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression [tex]\frac{10}{\sqrt{3}}[/tex] is the same as [tex]\frac{10\sqrt{3}}{3}[/tex] after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
This entire process only applies to 30-60-90 triangles.The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is [tex]2x = 2*\frac{10\sqrt{3}}{3} = \frac{20\sqrt{3}}{3}[/tex] units long. You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.Find the measure of angle 1
51
52
53
50°
R
54
55
P Р
56°
Answer:
53°
Step-by-step explanation:
angle 1 = ½×( 50+56) = ½×106 = 53°
4278206 this numbers name ?
forty two lakh seventy eight thousand two hundred and six
(CHILL REMINDER) I know it's difficult right now, and I know you want to give up, but now isn't the time to give up. *Everything is going to be okay, I promise.*
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Answer:
thanx for the reminder
Step-by-step explanation:
have a wonderful day :)
Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possile values of Y, and state which Y value is associated with each one.
Y Outcomes
3
4
5
6
7
Answer:
[tex](a)\ \{SSS\}[/tex]
[tex](b)\ \{FSSS\}[/tex]
[tex](c)\ \{FFSSS, SFSSS\}[/tex]
[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
Step-by-step explanation:
Given
[tex]S\to[/tex] Success
[tex]F\to[/tex] Failure
[tex]n \to 3[/tex] Consecutive trials until S happens
[tex]Y \to[/tex] Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
[tex](a)\ Y = 3[/tex]
The only possibility here is: [tex]\{SSS\}[/tex]
because 3 trials implies that all outcomes must be S.
[tex](b)\ Y = 4[/tex]
The only possibility here is:
[tex]\{FSSS\}[/tex]
because 4 trials implies that the first outcome must be F
[tex](c)\ Y = 5[/tex]
The possibilities are:
[tex]\{FFSSS, SFSSS\}[/tex]
because 5 trials implies that the first and the second outcomes must be FS or SF.
[tex](d)\ Y = 6[/tex]
The possibilities are:
[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
[tex](e)\ Y = 7[/tex]
The possibilities are:
[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
If h(x) = 6 – X, what is the value of (hon (10)? O 4 -2 10 If p(x) = 2x2 - 4x and q(x) = x - 3, what is (pºq)(x)? O 2x2 - 4x + 12 O 2x2 – 16x + 18 O 2x2 – 16x + 30 O 2x2 – 16x + 15
2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:
p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).
The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively
How to solve equationh(x) = 6 – x
h(10) = 6 - 10
= -4
If
p(x) = 2x² - 4x
q(x) = x - 3
(pºq)(x)
= (2x² - 4x) (x - 3) × 4
= 2x² - 16x + 18
Learn more about equation:
https://brainly.com/question/2972832
Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?
Answer:
4/5
Step-by-step explanation:
1/2 ÷6=4/5
which sentence is true iready math
Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).
Answer:
P = 8 l
Step-by-step explanation:
Let's consider a rectangular field with dimensions:
width (w)length (l)We know that the width (w) is three times the length (l), that is,
w = 3 l [1]
We can calculate the perimeter (P) of a rectangle using the following expression.
P = 2 l + 2 w [2]
If we replace [1] in [2], we get,
P = 2 l + 2 (3 l)
P = 2 l + 6 l
P = 8 l
4x-3+2x-7+5x-1=58
What is x?
Answer:
69/11
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−3+2x−7+5x−1=58
4x+−3+2x+−7+5x+−1=58
(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)
11x+−11=58
11x−11=58
Step 2: Add 11 to both sides.
11x−11+11=58+11
11x=69
Step 3: Divide both sides by 11.
11x /11 = 69/11
Answer:
x = 69/11
Step-by-step explanation:
4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓
11x - 3 - 7 - 1 = 58
11x - 11 = 58 move the constant to the right-hand side and change its sign ↓
11x = 58 + 11 add the numbers ↓
11x = 69 then divide both sides of the equation by 11 ↓
x = 69/11 ;)
Evaluate 4x - y if x = 3 and y = 6
Answer:
The answer is 6
Step-by-step explanation:
4 (3) - 6
12 - 6
= 6.
The following inequalities are equivalent except ...
A <3
B −1<2 C +1<3 D −2<1
Answer:
C + 1 < 3 is not equivalent.
Step-by-step explanation:
B - 1 < 2 ⇒ B < 3
C + 1 < 3 ⇒ C < 2
D - 2 < 1 ⇒ D < 3
Therefore, all inequalities are equivalent except C + 1 < 3.
Solve the following linear equation for m.
2m−13=−8m+27
Answer:
4
Step-by-step explanation:
2m−13=−8m+27
2m+8m=27+13
10m=40
m=40÷10
Therefore, m=4
Answer:
2m - 13 = -8m +27
2m + 8m = 27 + 13
10m = 40
m = 4
What are the following of this function y = 4sin (2( x - [tex]\frac{3\pi }{4}[/tex] )) :
amplitude
minimum
maximum
period
phase shift
midline equation
Answer:
See below...
Step-by-step explanation:
For a function whose formula is in this pattern:
[tex]y=A\sin\left(B(x-C)\right)[/tex]
Amplitude: [tex]|A|[/tex]
Period: [tex]\frac{2\pi}{B}[/tex]
Phase Shift: C
In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]
Amplitude: 4
Period: [tex]\frac{2\pi}{2}=\pi[/tex]
Phase Shift: [tex]\frac{3\pi}{4}[/tex]
There is no vertical shift, so the midline is the x-axis whose equation is y = 0.
Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.
The graph is attached.
Relationships in Figures
What is the next number in the following sequence.
0, 1 1, 2, 3, 5, 8..
a. 9
b.13
c. 10
d. 11
Please select the best answer from the choices provided
Answer:
B. 13
Step-by-step explanation:
I calculated it logically
A rectangular in ground pool needs to be filled with water. The pool is 20 feet long 9 1/2 feet wide, and 5 1/2 feet deep determin the maximum amount of water the pool can hold? PLS ANSWER IM GOING TO FAIL
Answer:
1045 ft³ of water
Step-by-step explanation:
Given :
Length = 20 feets
Width = 9 1/2 feets
Height = 5 1/2 feets
The maximum of water the pool can hold is equivalent to the volume of the pool ;
Hence, Volume = Length * width * height
Volume = 20 * 9 1/2 * 5 1/2
Volume = 1045 ft³ of water
Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?
assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400
Estimate:
89 364 What’s the answer
Answer:
A. 4
Step-by-step explanation:
364/89 = 4.089
4.089 estimated to 4
Rational numbers m and n are plotted on the number line.
Answer:
n - m is positive
Step-by-step explanation:
Given
m and n on number line
Required
Which is true
From the attachment, we have:
[tex]n >m[/tex]
[tex]n > 0[/tex] and [tex]m < 0[/tex]
[tex](a):\ n - m[/tex]
Since: the above inequalities are true, then:
[tex]n - m > 0[/tex]
(a) is true
There is no need to test other options; since (a) is true
If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem. never, non-optimal sometimes, optimal always, optimal
Answer:
always, feasible
Step-by-step explanation:
In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.
When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.
Please help and hurry!
Answer:
Step-by-step explanation:
radius=diameter/2
=9/2
=4.5
Answer:
4.5
Step-by-step explanation:
9= diameter and Radius= diameter divided by 2
9 divided by 2 = 4.5
What is the area of the figure? Round to the nearest tenth.
45 m
3 m
3 m
7.5 m
A 36.0 m2
B. 22.5 m2
C. 45.0 m2
D. 72.0 m2
Answer:
letter A
Step-by-step explanation:
This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.
Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5
So, 13.5+22.5=36, or letter A
A store has a sale on paper cups, 2 packs for $15.00. There are
100 cups in each pack.
How many cups are you purchasing?
Answer:
15/2=7.5
7.5/100=0.075
0.075$ per cup.
-TheOneandOnly003
Hope this answer helps you :)
Have a great day :)
Mark brainliest
If two coplanar lines are cut by a transversal so that corresponding angles are *blank*
congruent, then the lines are
(parallel/perpendicular/skew).
Answer:
parallel
Step-by-step explanation:
If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel
========================================================
Explanation:
This is due to the converse of the corresponding angles theorem.
Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.
The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.
Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.
Check out the image below to see an example of what I mean.
what is three quaters of 652
Answer:
The answer is 489
Answer:
four hundred eighty-nine
Step-by-step explanation:
I multiplied 3 quarters times 652
If the discriminant is a positive number, the quadratic equation has 2 real solutions?
A.False
B. True
Answer: B
Step-by-step explanation:
Good Luck!
plz help me without putting links or files
Answer:
Step-by-step explanation:
4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4
1 + 8/8 + 3/2 + 3/4
1 + 1 + 12/8 + 6/8
2 + 18/8
2 + 2 1/4
= 4 1/4 pounds
The domain of a function h(x) is x < 5, and the range is y< 4. What are the
domain and range of its inverse function, h^-1( x)?
PLEAAAASASE HELP ME
The domain and the range of its inverse function, h^-1( x) are x < 4 and y < 5
How to determine the domain and the range?The domain and the range of the function are:
x < 5 and y < 4
When the function is inverted, the domain becomes the range and vice versa.
This means that the domain and the range of its inverse function, h^-1( x) are x < 4 and y < 5
Read more about domain and range at:
https://brainly.com/question/2264373
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Which expression is equal to 5÷8
Answer:
-3
Step-by-step explanation:
the question really doesnt make sense
geometry acellus i need help pretty please
Answer:
change your pfp and ill give u the answer
Step-by-step explanation:
Answer:
x = 17.5 degrees
Step-by-step explanation:
So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.
2x+10 = 45
Move over the 10
2x = 35
Divide by 2
x = 17.5 degrees
That's all.
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.