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.
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°
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
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
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
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
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
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
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
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]
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
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
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
A rectangle has a perimeter of 102 ft and a length of 40 ft. Find the width of the rectangle.
Need help solving this problem
Answer:
46-22= 24
Therefore, the answer is ;
A.24
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.
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:
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
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
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?
9514 1404 393
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.
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
1.26×10⁹ as a Ordinary Number
Answer:
1,260,000,000
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
⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️
If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)
9514 1404 393
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
9514 1404 393
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.
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).
How can she find the coordinates of the new point without graphing the point?
#CarryOnLearning
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
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.
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:
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