Answer:
16641
Step-by-step explanation:
Thank you!
There is exactly 1 pair of parallel sides. 6 3 9
Answer:
Step-by-step explanation:
The given properties of one pair of parallel sides in the four sided
quadrilateral, indicates that the shape is a trapezium.
Response:
The area of the shape is 35 square unit
Area of trapezoid
1/2(Sum of parallel sides)(Height)1/2(6+9)(3)1/2(15(3))12(45)22.5units^2Observations of the center of the Milky Way show the presence of a super massive black hole with a mass of 4.6 x 106 solar masses. Compute the Schwarzschild radius of this supermassive black hole. Give your answer in units of astronomical units (AU). At what distance does Mercury orbit from the Sun in AU? If we swapped out the Sun for this super massive black hole, would the event horizon extend beyond the orbit of Mercury? Be sure to show your calculations. 1 AU = 1.5 x 108 km.
The Schwarzschild radius of the black hole depends on its mass
The Schwarzschild radius of this supermassive black holeis 0.091 AU
How to determine the Schwarzschild radius?The Schwarzschild radius (r) is calculated using:
[tex]r_s = \frac{2GM}{c^2}[/tex]
Where:
G = Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2
M = Mass of the object = 4.6 x 10^6 solar masses
c = Speed of light = 299792458 m / s
Express the mass in Kg
M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg
Substitute the above values in the equation
[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]
Evaluate the expression
[tex]r_s = 13589425339.6[/tex] m
Express as km
[tex]r_s = 13589425.3396[/tex] km
Expressas AU
[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]
Evaluate the quotient
[tex]r_s = 0.09059616893[/tex]
Approximate
[tex]r_s = 0.091\ AU[/tex]
Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU
Read more about gravitational radius at:
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Q. If A is a square matrix such that A² = A, then write the value of 7 A −(I + A)³, where I is an identity matrix.
Since [tex]A^2=A[/tex], we have
[tex](I + A)^2 = I^2 + IA + AI + A^2 = I + A + A + A = I + 3A[/tex]
[tex](I + A)^3 = (I + A) (I + 3A) = I^2 + 3IA + AI + 3A^2 = I + 3A + A + 3A = I + 7A[/tex]
Then the target expression is
[tex]7A - (I + A)^3 = 7A - (I + 7A) = \boxed{-I}[/tex]
Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
[tex]\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}[/tex]
Sin P = 0.3
[tex]P = Sin^{-1} 0.3\\[/tex]
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
How many times does 8 go into the 12 1/2?
Answer:
1.5625
Step-by-step explanation:
rround to 2
-5X^2 + 3X = -3X^2 + 3X - 50 solve for x
[tex]-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5[/tex]
Answer:
X = 5, —5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
B.A ECO
(b) Prices of three commodities A, B and Crised by 4096, 60% and 90% respectively.
Commodity A is six times more important than Qy and B is three times more important than
C. what is the mean fise of these three commodities?
Find the missing factor._____ x 5 = 3,000
A) 6
B) 60
C) 600
D) 6,000
Answer:
a = 600
Step-by-step explanation:
Algebraically:
[tex]a*5 = 3000\\a = \frac{3000}{5}\\ a = 600[/tex]
Write each expression without the absolute value symbol.
PLEASE HELP
Step-by-step explanation:
| x - 19 + 11 | = | x - 8 |
look at the picture.
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
|(x - 19) + 11|
This can be written as,
= |x - 19 + 11|
= |x - 8|
Now,
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Thus,
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Learn more about expressions here:
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Find measure of <1. (The figure may not be drawn to scale)
Answer:
t = 55
Step-by-step explanation:
The figure is a straight line and the sum of angles that make a straight line is 180 degrees
90 + t+ 35 = 180
125+t = 180
Subtract 125 from each side
125 +t-125 = 180-125
t = 180-125
t = 55
Evaluate the expression for x = 6 and y = 4.
xy-3y =
Answer:
Answer:
12
Step-by-step explanation:
Since given that:
x = 6 and y = 4
we can substitute:
xy - 3y
(6)(4)-3(4) {6*4 = 24}
24 - 3(4) {3*4=12}
24 - 12 = 12
Hence, the answer = 12
~lenvy~
Answer: 12
Step-by-step explanation:
Given:
xy - 3y
Plug-in the values we know:
(6)(4) - 3(4)
Multiply 6 by 4 and 3 by 4:
24 - 12
Subtract:
12
xy - 3y = 12
Approximate the temperature of the water after 6 intervals
please answer this question
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Before answering the given question, you should know the difference between polygon and regular polygon.
Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles. Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .There are different types of polygon based on the sides :-
A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on. Let's Begin :-I have thought to make a 4 side polygon that is quadrilateral.
Steps of construction :-
Step - 1 :- Draw a 5 cm line AB horizontally Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD Step - 4 :- Now, join the line AD Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.Result :- All the angles are equal that is 90° each.
Conclusion :- The above figure is square as it is having equal sides and angles.
Now, we have to find the sum of the angles of the polygon :-Here,
All angles are equal in measure 90°Therefore,
The sum of the angles of the given polygon
[tex]\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }[/tex]
[tex]\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }[/tex]
[tex]\sf{ = 270{\degree} + 90{\degree} }[/tex]
[tex]\sf{ = 360{\degree} }[/tex]
Hence, The sum of the angles of the above polygon is 360° .
if tan=5/12
Find sinx/cosx+tanx
Answer:
[tex] \frac{10}{12} [/tex]
Step-by-step explanation:
given,
tanX = 5/12
sinX/cosX + tanX
= tanX + tanX ( sinX/cosX = tanX)
= 5/12 + 5/12
=
[tex] \frac{10}{12} [/tex]
Step-by-step explanation:
[tex] \tan(x) = \frac{5}{12} \\ \hookrightarrow \: \frac{p}{b} = \frac{5}{12} [/tex]
As,
[tex] \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]
Now,
[tex] \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } + \tan(x) \\ \hookrightarrow \: \tan(x) + \tan(x) \\ \hookrightarrow \: \frac{5}{12} + \frac{5}{12} \\ \hookrightarrow \frac{5 + 5}{12} \\ \hookrightarrow \frac{10}{12} [/tex]
If HI = IJ = 14 and GH = 12, what is HJ?
Answer:
24 unitsStep-by-step explanation:
Missing drawing but assumed that:
HI and IJ are equal sides of the isosceles triangle HIJIG is the perpendicular bisector of same triangleSince G is the midpoint of HJ, we have:
GH = GJ = 12So
HJ = 2*GH = 2*12 = 24Answer:
24 units
Step-by-step explanation:
IJ = 14 and GH = 12
Gh=gj=12
Hj=2gh
2*12=24
Which of the following is true for the function y = log3(x)?
It is the inverse of the function y = x3.
It is the inverse of the function y = 3x.
It is the reciprocal of the function y = x3.
It is the reciprocal of the function y = 3x.
Answer:
B
Step-by-step explanation:
ED
Help picture below problem 3
angle ksp+61=108(being straight angle)
or,angle ksp=180-61
angle ksp=119
7. The area of the parallelogram is 450 m2. What is
the height?
A. 25 m
B. 36 m
C. 50 m
D. 72m
Given the quadratic function y=(3x−2)(x+4), what are the x-intercepts?
Answer:
[tex](\frac{2}{3} , 0), (-4, 0)[/tex]
Step-by-step explanation:
Substitute 0 for y and solve to find the x-intercept.
The magnitude of vector λ a is 5. Find the possible values of λ, if a=(5,12). Brainliest for correct answer. Look at photo.
Step-by-step explanation:
this is the answer for you
what shape is this will give brainliest and all that
Answer:
that is a Trapezoid
Step-by-step explanation:
it has two lines that are parallel and two lines that are not. crd. MathGeek99
Answer:
I believe it is a Quadrilateral
Step-by-step explanation:
It's a quadrilateral because of how many sides it has and other stuff
Knowledge Check Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 ft to 2 ft
Answer:
Step-by-step explanation:
4.5 ÷ 2
[tex]\frac{9}{2}[/tex] ÷ 2
[tex]\frac{9}{2} * \frac{1}{2}[/tex]
9 / 4
Find the length of a diameter.
22 mm
A diameter of the circle is_____mm
Answer:
44 mm
Step-by-step explanation:
radius = 22 mm
diameter = 2 * radius = 44 mm
FASTEST ANSWER WITH STESP FOR PROOF GETS BRAINLIEST
Answer:
314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)
Step-by-step explanation:
Step 1) Formula of a cone.
•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]
Step 2) Apply numbers.
•r = 1/2 * base diameter || r = 5 m
•height(h)= 12 m
Step 3) Apply formula.
V= (1/3) * π * 5² * 12
[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]
Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16
Step 4b) IF π = 3.14, then V= 314π
I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!
(apologies if a mistake has been made)
(7 point)
13. Amir posts on social media frequently, while Naomi posts rarely. Their number of posts over
the last six days are given in the table below. Compare the spreads of the data sets using both
range and IQR
Amir Naomi
15
2
12
4
14
10
16
2
15
3
19
0
The number of social media post of Noami has a greater spread when compared to that of Amir.
What is the range and intequartile range of the social media posts?Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
The range of Amir's social media posts = 19 - 15 = 4 The range of Noami's social media posts = 10 - 0 = 10The inter quartile range is the difference between the third quartile and the first quartile of a data set.
IQR = Q3 - Q1
The IQR of Amir's social media posts: 7
The IQR of Naomi's social media posts = 10
To learn more about range, please check: https://brainly.com/question/12372689
Answer:
Naomi"s data set has more spread since her range is 10 and her IQR is 3.
Step-by-step explanation:
Range IQR
12,14,15,15,16,19 16-14=2
0,2,2,4,5,10 5-2=3
19-12=7 10-0=10
Find the unit price. 14 ounces of canned corn for $1.96
The unit price of canned corn is $0.14
14 ounces = $1.96
1 ounce = 1.96 / 14
= 0.14
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110 & y = 28
Step-by-step explanation:
The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.
If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.
Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.
So, 100 + (2y + 24) = 180.
Subtract 100 from both sides to get 2y + 24 = 80
Then subtract 24 from both sides to get 2y = 56
And divide both sides by 2 to get y = 28 degrees.
This recipe makes 4 pancakes.
Sanjay follows the recipe but wants to make 12 pancakes.
How much of each ingredient does he need?
Recipe: Makes 4
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
2 tablespoons (tbsps) oil
Answer:
405g of flour, 3 teaspoons baking powder, 6 tablespoons sugar, 390ml of milk and 3 eggs and 6 tablespoons of oil
Step-by-step explanation:
She wants to triple the recipe, so she must multiply each amount of each ingredient by three:
135 × 3 = 405
1 × 3 = 3
2 × 3 = 6
130 × 3 = 390
1 × 3 = 3
2 × 3 = 6
100.2and 19.400 which is greater
Answer:
19.400
Step-by-step explanation:
19.400 equals out to 42769.67886386625
A wire 26 cm long is cut into two pieces. The longer pieces is 2 cm longer the the shorter peice.
Find the length of the shorter peice of wire _________ cm
Answer:
26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one