Answer:
[tex]2\sqrt{3}.[/tex]
Step-by-step explanation:
1. the rule: tan(AMR)= AR/AM or tan(AMR)=AR/x.
If to substitute the values of tan(AMR), AR, then
√3=6/x;
2. according to the previous step if 6/x=√3, then x=6/√3=2√3.
HELP QUICK PLEASE!!
5. Solve the quadratic by completing the square.
4x² + 16x +49 = 8
X
-21 21
2
2 29
X=
2
O
-425
-457
2
X=
-4+ 57
2
Answer:
2
it is very clear and understandable
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?
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Answer:
43.1 in³
Step-by-step explanation:
The volume can be computed using the formula ...
V = (π/4)d²h . . . . where d is the diameter and h is the height
For your dimensions, the volume is ...
V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³
A full can contains a volume of about 43.1 cubic inches.
I need help on this question so confused… Thank you
The original price was $1.50.
5(1.5) = 7.5
7.5 - 7.5*0.2 = 6
What is the probability you would grab a yellow crayon and a 4-legged animal?
Answer:
I think the probability is 1/3
Answer:
1/3
Step-by-step explanation:
Will give brailiest to first
Answer:
A)
[tex]f(x)=x^(2)-2x+3[/tex]
Step-by-step explanation:
Answer:
option a
pls give brainliest
Step-by-step explanation:
4. If the ratio of 5 th term to 11th term of an A.P. is 5:2, then the value of
term is
15th
Answer: The value of 15th term is 0
Step-by-step explanation:
The nth-terms of an AP is written as [tex]a+(n-1)d[/tex]
where,
a = first term
n = number of term
d = common difference
5th tem will be = [tex]a+4d[/tex]
11th tem will be = [tex]a+10d[/tex]
15th tem will be = [tex]a+14d[/tex]
The given ratio between 5th and 11th term is 5 : 2
Taking the ratios:
[tex]\Rightarrow \frac{a+4d}{a+10d}=\frac{5}{2}\\\\\Rightarrow 2a+8d=5a+50d\\\\\Rightarrow 3a+42d=0\\\\\Rightarrow 3(a+14d)=0\\\\\Rightarrow a+14d=0[/tex]
Hence, the value of 15th term is 0
1.26×10⁹ as a Ordinary Number
Answer:
1,260,000,000
A coordinator will select 7 songs from a list of 13 songs to compose an event's musical entertainment lineup. How many different lineups are possible
Answer:
8,648,640 different lineups are possible.
Step-by-step explanation:
The order in which the musics are there is important(lineup means that order matters), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different lineups are possible?
7 musics from a set of 13. So
[tex]P_{(13,7)} = \frac{13!}{(13-7)!} = \frac{13!}{6!} = 8648640[/tex]
8,648,640 different lineups are possible.
Need help solving for relative frequency please!
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Relative frequency = frequency / total frequency
Total frequency = 389+335+975+351+72 = 2122
Response ________ Frequency __ R/ frequency
Never ____________ 389 _ 389/2122 = 0.180
Rarely ____________ 335 _ 335/2122 = 0.158
Sometimes _________975 _975/2122 = 0.459
Most of the time _____ 351 _ 351/2122 = 0.165
Always ____________ 72 __ 72/2122 = 0.034
Need help solving this problem
Answer:
46-22= 24
Therefore, the answer is ;
A.24
Based on the graph, between which two values of x is a zero of g located?
Answer:
Between 4 and 5
Step-by-step explanation:
Given
See attachment for graph
Required
Between which points is g(x) = 0
From the attachment, we can see that the graph crosses the x-axis at 4... and -1...
This means that
g(x) = 0 between 4 and 5
g(x) = 0 between -1 and -2
Going by the available options,
g(x) = 0 between 4 and 5
In each figure below find m ∠1 and m∠2, if a||b. Justify with
reasons your solution.
Answer:
m<1 = 130°
m<2 = 50°
Step-by-step explanation:
Since given that line a is parallel to line b, and <1 and 130° are interior angles that alternate each other, therefore:
m<1 = 130° (alternate interior angle theorem)
Also,
130° and <2 lie on same side inside the parallel lines cut across by the transversal, therefore,
m<2 + 130° = 180° (same side interior angles theorem)
m<2 = 180° - 130°
m<2 = 50°
g Workers employed in a large service industry have an average wage of $9.00 per hour with a standard deviation of $0.50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $8.85 per hour. Calculate the probability of obtaining a sample mean less than or equal to $8.85 per hour. (Round your answer to four decimal places.)
Answer: 0.3821
Step-by-step explanation:
Let x be the random variable that represents the wages.
Given: Workers have an average wage of $9.00 per hour with a standard deviation of $0.50.
The probability of obtaining a sample mean less than or equal to $8.85 per hour:
[tex]P(X<8.85)=P(\dfrac{X-mean}{standard\ deviation}<\dfrac{8.85-9.00}{0.50})\\\\=P(Z<-0.3)\\\\=1-P(0.3)\\\\=1-0.6179\\\\=0.3821[/tex]
The required probability = 0.3821
The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=2[/tex]
[tex]-3+a=2\times 2[/tex]
[tex]a=4+3[/tex]
[tex]a=7[/tex]
And,
[tex]\dfrac{3+b}{2}=0[/tex]
[tex]3+b=0[/tex]
[tex]3+b-3=0-3[/tex]
[tex]b=-3[/tex]
Therefore, the coordinates of point B are (7,-3).
Can someone help me?
Answer:
1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value
4-3+5 = 1+5 = 6
-6+8+4 = 2+4 = 6
6=6, so the sentence is correct
2+5 = 19-12 => 7=7, true
5-4-3-2-1 = 30-34-1 => -5=-5, true
2(x+5)-4x = 3(x-2)-5x+16
=> 2x+10-4x = 3x-6-5x+16
=> -2x+10 = -2x+10, true
Step-by-step explanation:
the other two sentences lead to false
4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false
2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false
Plssss Help me, Im so confused, this will decide if i get into my dream school!!!! Plsss help me!
Answer:
-24
Step-by-step explanation:
First solve -4(-2)
which is +8
Next solve 8(-3)
which is equal to -24
Hope this helps
Good luck with your school
Answer:
i think it's -24
Step-by-step explanation:
I used photo math
Anyone knows the answer ??
Answer:
Hello! answer: 17
Step-by-step explanation:
15 × 15 = 225
8 × 8 = 64
225 + 64 = 289
√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!
Answer:
17
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]8^{2} + 15^{2} = c^{2}[/tex]
289 = [tex]c^{2}[/tex]
square root both sides
c = 17
What's the inverse of ƒ(x) = 3x3 – 4?
Answer:
Step-by-step explanation:
y = 3x³ -4
the inverse is found by changing x with y and y with x than solve for y
x = 3y³ -4
x+4 = 3y³-4+4; add 4 to both sides
x+4 = 3y³
(x+4)/3 =y³ ;divide both sides by 3
∛((x+4)/3) = y ;cube root both sides
the inverse function of f(x) =3x³-4 is
[tex]f(x)^{-1} =\sqrt[3]{\frac{x+4}{3} }[/tex]
what is the correct answer 23 divide by 61,982[tex]23\sqrt{x} 61,982[/tex]
Question isn't well formatted ;
Answer:
Kindly check attached picture for solution using long division.
Step-by-step explanation:
What is 61,982 ÷ 23
61982 / 23 = 2694.8695
need help asap! will give the first right answer brainliest!
Answer:
Step-by-step explanation:
12
Answer:
b think if I'm wrong let me know
Answer to the question
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
A cone is 37 inches long and has a diameter of 7 inches. What is the approximate volume of the cone?
Answer:
Below
Step-by-step explanation:
To find the volume of a cone, you can use the equation V=π r^2 (h/3)
Because the diameter is 7, the radius is 3.5 inch ( r=1/2 d)
V = π (3.5^2)(37/3)
= 474.64 in^3
I hope that is correct good luck!
Answer:
474.642
Step-by-step explanation:
To find out the volume of the cone is using V= 1/3 TTR^2 * H
We know TT is pie, pie is 3.19 and the radius of the cone is 3.5 inches because half of seven is 3.5.
V=1/3 3.14 * 3.5 * 3.5 * 37 = 474.642
8(2x + 3) in the simplest form
Answer:
16x+24
Step-by-step explanation:
8(2x)+8(3) [Distributive property]
16x+24
Answer:
16 x + 24
Step-by-step explanation:
8 ( 2 x + 3 )
use distributive property
8 × 2 x + 8 × 3
16 x + 24
5. If the lines 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 9 are mutually perpendicular, then the value of a is (1 Point) O a. O b.3 O-1/2
because the multiplication Slope of 2 perpendicular is -1
How can she find the coordinates of the new point without graphing the point?
#CarryOnLearning
A rectangle has a perimeter of 102 ft and a length of 40 ft. Find the width of the rectangle.
⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️
If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)
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Answer:
f(5) = 160
Step-by-step explanation:
The first several terms of the sequence are ...
10, -20, 40, -80, 160, -320, 640, ...
Each term is -2 times the previous term.
f(5) = 160
Which of the following exponential functions represents the graph below
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Answer:
D
Step-by-step explanation:
The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.
Find the circumference of this circle
using 3 for 7.
C ~ [?]
2.
C = 27r
Answer:
[tex] \displaystyle C = 12[/tex]
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=2 thus substitute:
[tex] \displaystyle C = 2\pi .2[/tex]
simplify mutilation:
[tex] \displaystyle C = 4\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 4.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 12[/tex]
and we are done!
Answer:
C = 12.
Step-by-step explanation:
Given :-
Radius of circle , r = 2.Value of pi, π = 3To find :-
Circumference of circleFormula for finding circumference of circle;
Circumference of circle = 2 × π × radius.
Solution :-
Circumference of circle = 2 × π × radius.
Substitute the value of radius into the formula.Circumference of circle = 2 × π × 2
Multiply ; 2 × 2Circumference of circle = 4 π.
plug 3 as π.Circumference of circle = 4 × 3
Multiply to getCircumference of circle = 12
PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.
Answer: x=2
Step-by-step explanation:
-6=-9x+12
Subtract 12
-18=-9x
Divide by -9
X=2