Step-by-step explanation:
[tex]1.a + 27 = 90 \: \: (complementary \: angles = 90) \\ a = 90 - 27 \\ a = 63degrees \\ 2. \: x + 101 + 109 + 90= 360 \: (revolution \: angles = 360) \\ x = 360 - (101) - (109) - (90) \\ x = 60degrees \\ 3. \: a + 85 = 180 \: (angles \: on \: str \: line = 180) \\ a = 180 - 85 \\ a = 95degrees \\ b = 85 \: (vertically \: opp \: angle) \\ c = 95 \: (vertically \: opp \: angle)[/tex]
4. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x+3, g(x)=
Answers:
[tex](f \circ g)(x) = 2x^2-5x\\\\(g \circ f)(x) = 2x^2+7x\\\\[/tex]
The domain is "all real numbers" which you could type in (-infinity, infinity) or [tex](-\infty, \infty)[/tex] when doing interval notation. This applies to both.
=========================================================
Explanation:
See the attached image for the steps of each.
The domain is the set of all real numbers because each result is a polynomial. We don't have to worry about dividing by zero, taking a square root of a negative number etc. There are no restrictions on x. Any real number can replace x to get some real number result for y. This applies to both composite functions.
If segment A is perpendicular to segment B, then they intersect at a 90° angle.
Choose the equivalent statement.
A. If segment B is not perpendicular to segment A, then they
intersect at a 90° angle.
B. If segment A is perpendicular to segment B, then they do not
intersect at a 90° angle.
C. If segments A and B do not intersect at a 90° angle, then they are
not perpendicular to each other.
How to solve for b? Do you need another variable?
Answer:
No there are 180 degrees on a line
Step-by-step explanation:
180
115-
065
65°
#19. find the perimeter and the area of the figure
Answer:
Perimeter = 56 m
Area = __ m^2
Step-by-step explanation:
Perimeter = ___ m
Area = __ m^2
To find Perimeter, you have to add up all the sides of the shape,
5 + 5 + 5 + 11 + 7 + 7 + 16
= 56 m
Perimeter = 56 m
To find area, you have to multiply length times width,
5 × 5 = 25
7 × 16 = 112
112 + 25 = 137
Area = 137 m^2
Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.
This pattern follows the rule multiply by 2. what other feature do you observe? 4, 8, 16, 32, 64, 128
group of answer choices
all terms are even because even x even = even.
all terms are odd because even x even = odd.
all terms are even because odd x odd = even.
all terms are even because odd x even = even.
Answer:A. All terms are even because even x even = even.
Step-by-step explanation:Hope It helps you have a good day.
Hello, please choose the correct choice, please and thanks.
Answer:
I think it is (2,3.5)
Step-by-step explanation:
See im ova here trying my best so if it's wrong don't me coming foe me
Hello, please choose the correct answer.
A.) 5
B.) square root of 5
C.) 25
D.) 7
Answer:
A) 5
Explanation:
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}[/tex]
Here given points:
(6, 8), (3, 4)Distance:
[tex]\rightarrow \sf \sqrt{(6 - 3)^2 - (8 - 4)^2}[/tex]
[tex]\rightarrow \sf \sqrt{9 +16}[/tex]
[tex]\rightarrow \sf \sqrt{25}[/tex]
[tex]\rightarrow \sf 5[/tex]
Dialtion, reduction or enlargment. Explain and show work. Homework is due today!!
Answer the questions and show work please!
Answer:
A)Reduction
B)0.5
Step-by-step explanation:
A)It gets smaller
B)A-D=12
A'-d'=6
6/12=0.5
Please help fast-
In △LMN , point E is between points L and M, point F is between points M and N, and EF¯¯¯¯¯∥LN¯¯¯¯¯ .
LE=19 cm , LM=31 cm , and MN=124 cm .
What is MF ?
Enter your answer in the box.
Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.
What is the Triangle Proportionality Theorem?The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.
The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:
MF/MN = ME/ML
Plug in the values
MF/124 = (31 - 19)/31
MF/124 = 12/31
MF = (12 × 124)/31
MF = 48 cm
Learn more about the triangle proportionality theorem on:
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Before mr.wonsavage was a superhero in "wontropolis" he made wedding favors fof wedding receptions using peanuts and m&ms. pesnuts cost $3.50 per pound and m&ms cost $8 per pound. mr won wants to make 60 pounds of the peanut/m&ms mixture costings $6.00 per pound. how many pounds of peanuts and m&ms shoukd be mixed?
Answer:
10 pounds of copounds must be mixed
Step-by-step explanation:
Because if Mr wom wants 60 pounds if 1 cost &$6.00 he must take the prime number that can be multiplied by 6 to give us 60. The number is 10.
In the diagram below, CFED is a rectangle. If m/CFD = 12x and m/DFE = 6x, find the value of x.
Answer:
5
Step-by-step explanation:
if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.
so:
18x=90
x=5
What is the sum of the solution 4|3x-5|-5=-1
4|3x-5|-5=-1
|12x-20|-5= -1
|12x-20|= -1+5
|12x-20|= 4
x1-> 12x-20= 4
12x= 4+20
x= 24/12
x=2
x2-> -12x+20 = 4
-12x = 4-20
-12x= -16
x= -16/-12
x= 4/3
What does paper folding have to do with exponents?
Answer:
See below
Step-by-step explanation:
If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.
How would I make a dot plot with these requirements?:
1. It has at least 10 values.
2. It has at least 3 values that are different.
3. It has a mean and median of 12.
Answer:
2
Step-by-step explanation:
The _____ is the price of an item that is being offered at a lower price than usual.
Answer:
sale price
Step-by-step explanation:
price of an item that is being offered at a lower price than usual
10. Find the standard equation of the circle having the given center and radius.
Answer:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (3, 5) and r = , hence
(x - 3)² + (y - 5)² = ( )², that is
(x - 3)² + (y - 5)² = ← equation of circle
Step-by-step explanation:
6. Andy scored 90 on the last history exam. He scored 81 this time. By what percent did his score decrease?
Answer:
His score decreased by 9 percent this time.
Step-by-step explanation:
From his first history exam he had a score of 90 percent. The difference between his first score and present score is given by
90 - 81 = 9
I was confused on how to write the quadratic in standard form
[tex]\\~~~~~3x^2 +4x +7 = -1\\\\\implies 3x^2 +4x +7 +1 = 0\\\\\implies 3x^2 +4x +8 = 0\\\\\text{It is now in the standard form of quadratic equation}~( ax^2 +bx +c = 0)\\[/tex]
The volume of a cone is 48π cm3. If this cone is placed inside of a cylinder with the exact same sized base and height, how much empty space is left in the cylinder?
Answer:
32π cm^3.
Step-by-step explanation:
The volume of a cone is 1/3 of the volume of a cylinder with the same base area and height.
So the empty space = 2/3 * 48π
= 32π cm^3.
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.18 and the probability that the flight will be delayed is 0.14. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would leave on time when it is not raining? Round your answer to the nearest thousandth.
The probability that the flight would leave on time when it is not raining is: 0.522
What is probability?Probability is the likelihood of an event happening or not.
Analysis:
pr( it will rain) = 0.18
Pr( it will not rain) = 1 - 0.18 = 0.82
Pr ( flight will be delayed) = 0.14
Pr( it will not be delayed) = 1 - 0.14 = 0.86
Pr( it will not rain and flight would leave early) = 0.74
Pr( flight leave early when not raining) = pr( it willnot rain) x Pr( it will not be delayed) x Pr( it will not rain and flight leave on time) 0.82 x 0.86 x 0.74 = 0.522
In conclusion, the probability that flight would leave on time when it is not raining is 0.522
Learn more about probability: brainly.com/question/24756209
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What are the coordinates of the image
of (-3, -7) after the translation
(x, y) - > (x-9, y + 9)?
F (-6, 16)
H (12, -2)
G (6, -16)
J (-12, 2)
here my Answer:)))))))
H (12, -2)
As inflation increases, it causes the money you earn today to have __________.
more value in the future
less value in the future
more purchasing power in the future
no purchasing power effect in the future
Answer:
less valuable
Step-by-step explanation:
it will be reduced when time goes by
Rand will deprecate
Will mark brainlist to whoever answers first
Find the coordinates of the image of J( 8,7 ) after a reflection over the x-axis.
Answer: A
Step-by-step explanation:
On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.
So, the reflection of the point is: (8, -7)
Therefore, Option(a)(8, -7) is true.
Which algebraic representation shows a reduction? (x, y) → (x - 3, y - 3) (x, y) → (12x, 12y) (x, y) → (-3x, -3y) (x, y) → (-3x, y)
Answer:
hello!!!!
im pretty sure the answer is (x, y) --> (-3x, -3y)
please read the explanation it always helps!!!
Step-by-step explanation:
reduction most likely means that you are dealing with dilations in geometry....
and that means you will need to multiply both x and y by a negative number.
i hope this helps!!!
Please help! Asap!!!
Step-by-step explanation:
mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).
A)
since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).
B)
the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.
since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.
the only change is with the 2 corrected measurements.
the original (but wrong) measurement of 65 had a difference of 7 (to 72).
and now it is only 2 (70 to 72).
and the other one had a difference of 6 (72 to 78).
and now it is only 1 (73 to 72).
so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.
we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.
now this sum went down to 85-10 = 75.
and the new mean absolute deviation is 75/10 = 7.5.
A helicopter is flying over a straight highway between
two exits, A and B. The angle of depression from the
helicopter to exits A and B are 28° and 45°,
respectively. If the exits are 4 miles apart, find the
height of the helicopter
Answer:
about 1.3885 miles ≈ 7331 ft
Step-by-step explanation:
The height of the helicopter can be found using the tangent relation, which we know relates the sides and angles of a right triangle by ...
Tan = Opposite/Adjacent
__
setupWith reference to the attached diagram, the above relation can be used to find the lengths of AC and BC, which we know total 4 miles.
tan(28°) = h/AC ⇒ AC = h/tan(28°) = h·tan(90° -28°) = h·tan(62°)
tan(45°) = h/BC ⇒ BC = h/tan(45°) = h·tan(90° -45°) = h·tan(45°)
The total distance between A and B is then ...
AB = AC +BC
4 = h·tan(62°) +h·tan(45°) = h(tan(62°) +tan(45°))
solutionDividing by the coefficient of h, we have the value of h:
h = 4/(tan(62°) +tan(45°)) = 4/(1.88073 +1) ≈ 1.38854 . . . . miles
In feet, that is ...
(1.38854 mi)(5280 ft/mi) = 7331 ft
The height of the helicopter is 1.38854 miles, or 7331 feet.
Can anyone tell me the formula or way to solve this problem
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
A triangular prism has a triangular face with a base of 7 meters and a height of 10 meters. It’s volume is 259 cubic meters. What is the length of the triangular prism. (will mark brainliest)
What is the length of the triangular prism is 3.7
259 / 10 = 25.9
25.9 / 7
= 3.7
Which expression shows the distance on the number line between −14 and −5?
∣∣−5−14∣∣
∣∣−14−(−5)∣∣
∣∣−14−5∣∣
∣∣−14+(−5)∣∣
Answer:
||−14+(−5)||
Step-by-step explanation:
PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
Answer: The 4th option= -1, -3
Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4
Now we know that -4 is greater than -5.
Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.
Thanks.