m ∠CAD = _____.
what is the correct formula ?
Answer:
2nd option is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Answer:
9.54731702 astronomical units
Step-by-step explanation:
[tex]P=a^{\frac{3}{2} }[/tex]
Substitute this value in the equation above:
[tex]29.5=a^{\frac{3}{2} }[/tex]
⇒ [tex](29.5)^{\frac{3}{2} } =a[/tex]
⇒ [tex]a=9.54731702[/tex] [tex]astronomical[/tex] [tex]units[/tex]
Hence, its distance from the sun is 9.54731702 astronomical units.
Answer:
its a
Step-by-step explanation:
on edge 2022
Terry spends $49.00 on apples. Howard buys 12 apples. Each apple costs $7.00. How many apples did Terry buy?
Answer:
7
Step-by-step explanation:
49.00/7.00 = 7
Answer:
Terry bought 7 apples.
Step-by-step explanation:
7 times 7 equals 49, in which Terry spent 49 dollars on apples, and each apple costs 7 dollars, therefor Terry bought 7 apples.
What is the length of AC?
Geometry, see attachment.
Answer:
D.144
Step-by-step explanation:
[tex]\frac{7}{x} = \frac{84}{156-x}[/tex]
⇔ 84x = -7x + 1092
⇔ 91x = 1092
⇔ x = 12
⇒ AC = 156 - x = 156 - 12 = 144
Given the triangle below, what is RS?
The measure of RS to the nearest hundredth is 23.09 m
SOH CAH TOA identityFrom the given figure, we have the following parameters
Adjacent to <R = RS
hypotenuse = 20cm
Using the theorem;
cos theta = opp/hyp
cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30
RS =23.094 m
Hence the measure of RS to the nearest hundredth is 23.09 m
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Select the correct answer. What is the completely factored form of this polynomial? 2x5 + 12x3 − 54x A. 2x(x2 + 3)(x + 9)(x − 9) B. 2x(x − 3)(x + 9) C. 2x(x2 + 3)(x + 3)(x − 3) D. 2x(x2 − 3)(x2 + 9)
Answer:
D
Step-by-step explanation:
2x(x^4 + 6x^2 - 27)
x^4 + 6x^2 - 27 = 0
x^2 = y
y^2+ 6y - 27 = 0
(y+9)(y-3) = 0
(x^2+9)(x^2-3) = 0
2x(x^2-3)(x^2+9)
Answer:
The answer is B
please help me ASAP I WILL GIVE U BRAINLIEST!
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given a vector < x, y > then its magnitude is
[tex]\sqrt{x^2+y^2}[/tex]
Given the directed line segment
P (0, 0 ) → Q (3, 2 ) then
PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >
| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
Please Read the Attachment below
Answer:
Step-by-step explanation:
[tex]\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}[/tex]
[tex]=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}[/tex]
can someone please help with either? will mark brainliest
Answer:
a
Step-by-step explanation:
i just did it
Find the roots of the parabola: y = x 2 +6
Step-by-step explanation:
Firstly, complete the square to put the equation in vertex form,
y
=
−
(
x
+
3
)
2
+
1
This implies that the vertex, or local maximum (since this is a negative quadratic) is
(
−
3
,
1
)
. This can be plotted.
The quadratic can also be factorised,
y
=
−
(
x
+
2
)
(
x
+
4
)
which tells us that the quadratic has roots of -2 and -4, and crosses the
x
a
ξ
s
at these points.
Finally, we observe that if we plug
x
=
0
into the original equation,
y
=
−
8
, so this is the
y
intercept.
All of this gives us enough information to sketch the curve:
graph{-x^2-6x-8 [-10, 10, -5, 5]}
PLEASE PLEASE HELP!!!!!!!!
9514 1404 393
Answer:
326.6 square inches3402 square feetStep-by-step explanation:
The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.
The total surface area is given by the formula ...
SA = 2πr(r +h)
For one box, the area is ...
SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box
__
There are 144 square inches in a square foot, so the area required for 1500 boxes is ...
(1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes
Adam has three pennies, two dimes, and one nickel. he also has one other coin that is different from the rest of his coins. how much could he have?
Answer:
Step 1. Read the problem. Make sure you understand all the words and ideas.
Step 2. Identify what you are looking for.
Step 3. Name what you are looking for.
Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.
Step 5. Solve the equation using good algebra techniques.
Step 6. Check.
Step 7. Answer the question.
Step-by-step explanation:
Find the value of x
.
Answer:
x = 9
Step-by-step explanation:
5x + 27 = 45 + 3x
Subtract 3x from both sides
2x + 27 = 45
Subtract 27 from both sides
2x = 18
Divie both sides by 2
x = 9
Which of the following questions is a statistical question?
what are the answers, you didn't put a following
Answer:
How many hours do you spend at the pharmacy each month?
Step-by-step explanation:
GOt it right on test
Put these numbers in order from greatest to least.
0.24,0.57,0.87, and 3/5
Answer:
These are the numbers in order from greatest to least.
0.24, 0.57, 3/5, and 0.87
Step-by-step explanation:
Hope this is helpful.
While riding her bike to the ocean and back home 5 times, Kimberly timed herself at 53min, 48min, 56min, 54min, and 45min. She had set a goal of averaging 53 minutes for her rides. How many minutes will she need to spend on her sixth ride to attain her goal?
Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
what are factors of the expression x^2-x-6?
A. (x+3)(x+2)
B. (x-3)(x-2)
C. (x+3)(x-2)
D. (x-3)(x+2)
Answer:
The answer is D. (x - 3) (x + 2)
these are the high temperature for one week in july .
sunday 74
monday 75
tuesday 80
wednesday 76
thursday 75
friday 81
saturday 78
whats the mean high temperature for this week
A. 74
B. 75
C. 76
D. 77
E. 78
Answer:
D.77
Step-by-step explanation:
Since the mean is the average first you
Add up all the values
74+75+80+76+75+81+78 = 539
Divide the product by the number of values
539÷7=77
Can someone answer this please?
Step-by-step explanation:
BDC = BAC
BAC = 29°
BOC = 2BDC
= 2×29
= 58°
Answer:
m<BAC = 29 degrees
m<BOC = 58 degrees
Step-by-step explanation:
<BAC, <BDC, and <BOC share the same arc.
<BAC and <BDC are inscribed angles, and will have the same angle measure, 29 degrees.
<BAC and <BDC are inscribed angles, so their measure is 1/2 of the measure of the arc.
The measure of arc BC is 58 degrees.
<BOC is a central angle. The angle measure of a central angle is equal to the measure of the arc.
The measure of <BOC is 58 degrees.
Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abt, where f(x) represents the bone density after x years? 0 = b= Done Intro
Answer:
f(x) = 1500(0.97)ˣ
Step-by-step explanation:
Given that:
f(x) = abˣ
a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.
Since the bone has a current density of 1,500 kg/m³, hence a = 1500.
The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.
Therefore substituting the values of a and b into the function gives:
f(x) = 1500(0.97)ˣ
rhombus wxyz with vertices w(1 0) x(4,-1) y(5,-4) and z(2,-3)
Answer:
W 2,3
X 5,3
Y 1,2
Z 8,4
Step-by-step explanation:
The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the coordinates of the rhombus be represented as WXYZ
where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )
Now , the dilation scale factor is k = 3 centered at origin
So , result of this transformation is an image with the same shape as the original
The coordinates of the dilated figure is W'X'Y'Z'
where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )
Hence , the dilation is solved
To learn more about dilation click :
https://brainly.com/question/13176891
#SPJ2
Which fraction is equal to 12%
Answer:
3/25
Step-by-step explanation:
Simplify the fraction by using common factors of numerator and denominator. Now, 12% can be written as 12/100.
Write an explicit formula for an the nth term of the sequence 22,19,16
Answer:
Uₙ = 22 - 3(n - 1)
PLS HELPPPPP<3tyyyyyy this is due today! so please helppp tysmmm and have a great night or morning! :) (spam)
Answer:
5. equalateral
6. isosceles
7. isosceles
8. isosceles
9. equalateral
10. scalene
Step-by-step explanation:
sorry if thats wrong I need measurements to be more accurate.
4.evaluate the following,
giving your answers correct to 3 significant
figures.
(a) 12.3 x 45
(b) 6.7 over 8.9
Answer:
(a) 12.3 x 45 = 554
(b) 6.7/8.9 = 0.753
Pre-calc, Review the table of values for function g(x). Which statement correctly explains whether Limit of g (x) as x approaches 3 exists? (image attached)
Answer:
[tex]\lim_{x \to 3} g(x) = DNE[/tex]
Step-by-step explanation:
Observations:
As x approaches 3 from the left side, f(x) approaches -1.6 As x approaches 3 from the right side, f(x) approaches 1.6Conclusion:
Because the right and left-side limits are not equal to each other, the limit does not existTherefore, [tex]\lim_{x \to 3} g(x) = DNE[/tex]Answer:
A.
Step-by-step explanation:
Got it right
If ∠4 = 98°, then ∠3 = ?
look at image
Step-by-step explanation:
∠4 = ∠1 & ∠2 = ∠3
360 - 2(98) = ∠2 + ∠3
∠3 = 164/2
∠3 = 82°
[tex]\huge\bold{Given :}[/tex]
Angle 4 = 98°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle 3.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {∠\:3\:=\:82° }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ ∠ 3 + ∠ 4 = 180°
➪ ∠ 3 + 98° = 180°
➪ ∠ 3 = 180° - 98°
➪ ∠ 3 = 82°
Therefore, the measure of ∠ 3 is 82°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ 3+ ∠ 4 = 180°
✒ 82° + 98° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
Use your value of x to find the measure of angle n
Please help me
Answer:
Hello! answer: angle n is. 51
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
3 × 8 = 24 24 + 15 = 39
2 × 8 = 16 16 + 35 = 51
39 + 51 = 90 therefore angle n is 51 hope that helps!
Can someone help me with this one?
Answer:
B. 2x - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 1
g(x) = x + 2
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute in functions: (f - g)(x) = 3x - 1 - (x + 2)[Distributive Property] Distribute negative: (f - g)(x) = 3x - 1 - x - 2[Subtraction] Combine like terms (x): (f - g)(x) = 2x - 1 - 2[Subtraction] Combine like terms: (f - g)(x) = 2x - 3Mrs. Oliver has 41 pairs of shoes and purchases two new pairs each month.
Mrs. Henryhand has 76 pairs of shoes and donates three pairs each month. Write
and solve an equation to determine in how many months will they have the same
amount of shoes?
A.35
B.-7
C.7
D.-35
Answer: C
Step-by-step explanation:
Simple they can't go into negative months so that can't be it. 35 months would put Mrs.Henryhard into the negatives and Mrs. Oliver into the 100 zone so it has too be C
every month (row) oliver you add 2
every month (row) for henry you take away 3