Answer:
The 15th term is - 34Step-by-step explanation:
For an nth term in an arithmetic sequence
U(n) = a + ( n - 1)d
where n is the number of terms
a is the first term
d is the common difference
From the above sequence
a = 22
d = 18 - 22 = 4
We are finding the 15th term so
n = 15
U(15) = 22 + (15-1)-4
= 22 + 14(-4)
= 22 - 56
The final answer is
- 34Hope this helps you.
Answer:
last term is -34
Step-by-step explanation:
Triangle ABC is described below. Find all possible values for B, C, and c.
A= 121.50, a = 27.9 cm, b = 52.6 cm
Apply the rules regarding the use of significant digits to each angle and
length after all computations are complete.
Answer:
no such triangle
Step-by-step explanation:
The angle 121.50° is necessarily the largest angle in the triangle. It must be opposite the longest side. Here, it is given as opposite the shorter of the given sides. No such triangle is possible.
A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and each number is used only once. How many different possible passwords are there?
Answer:
There can be 14,040,000 different passwords
Step-by-step explanation:
Number of permutations to order 3 letters and 2 numbers (total 5)
(AAANN, AANNA,AANAN,...)
= 5! / (3! 2!)
= 120 / (6*2)
= 10
For each permutation, the three distinct (English) letters can be arranged in
26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways
For each permutation, the two distinct digits can be arranged in
10!/(10-2)! = 10!/8! = 10*9 = 90 ways.
So the total number of distinct passwords is the product of all three permutations,
N = 10 * 15600 * 90 = 14,040,000
In the figure, what is the value of x?
A. 180°
B. 80°
c. 62°
D. 38°
Answer:
C
Step-by-step explanation:
Angles on a straight line.
180 - 100
= 80
Angles in a triangle.
180 - 38 - 80
= 62
-4 + 3a2 from 7a - a2
7a -a2
+3a2 -4
(7a +2a2 -4)Answer:
-4a^2+7a+4
Step-by-step explanation:
7a-a^2 --4+-3a^2
:-4a^2+7a+4
Which set represents the domain of the function shown? (5 points)
{(−3, 6), (0, 2), (4, 7), (11, 15)}
{(6, −3), (2, 0), (7, 4), (15, 11)}
{2, 6, 7, 15}
{−3, 0, 4, 11}
Answer:
To make it simple, when finding the domain all you have to do is look for the x within the points.
Looking at the first set you can tell that the domain is -3, 0, 4, and 11
The y or the f(x) would be 6, 2, 7, and 15
(Just saying y and f(x) are the same thing.)
For the next set the domain is 6, 2, 7, and 15
For the f(x) it is -3, 0, 4, and 11
Remeber x and Domain is the same thing so all you have to do is look for the x within the points of the plot, as for looking for the range, it is the same thing as y or f(x).
God Bless
Hope that this helps!!!!!!!!!!!!!!
Answer:
D, -3,0,4,11
Step-by-step explanation:
A right cone has a radius of 13 cm and an altitude of 52 cm. Find its volume. Question 20 options: A) 9,486.0 cm3 B) 27,608.3 cm3 C) 28,458.0 cm3 D) 9,202.8 cm3
Answer:
D) 9,202.8
Step-by-step explanation:
The volume of a cone is [tex]\frac{\pi *r^{2} *h}{3}[/tex] so when you substitute the values you get the answer
Answer: A
Step-by-step explanation:
help but do inorder of operations form
Answer:
29/30
Step-by-step explanation:
Make all denominators equal to 30.
4/5 × 6/6 + 1/2 × 15/15 - 1/3 × 10/10
24/30 + 15/30 - 10/30
Combine.
(24 + 15 - 10)/30
(24 + 5)/30
= 29/30
[tex]\frac{4x6}{5x6}[/tex]Answer:
Step-by-step explanation:
4/5+1/2-1/3
TAKE LCM of denominator
Lcm=5x2x3(as all are prime factors)=30
4x6/5x6
similarly, 1x15/2x15
1x10/3x10
you will get,
[tex]\frac{24+15-10}{30}[/tex]
you will get,
29/30
(/=division sign)....hope i cleared your doubts....pls mark brainliest
Which simplified fraction is equivalent of 5.6 3/15 14/25 5/6 14/250
Answer:
Thus, 28/5 is equivalent of 5.6
Step-by-step explanation:
Given
Number is 5.6
it is in decimal form.
The first number after decimal represent the tenth of number
The Second number after decimal represent the hundredth of number
and similarly we can define thousandth of a number.
Step to write decimal number in fractional form is (say a.bcd
write the full number without decimal
so number will be
abcd
divide the number by 1
abcd/1
now count the number of digit after decimal and put as many 0's after 1
there are three digits after decimal, we will put three digit after 1 in denominator
thus number in fraction is
abcd/1000
_________________________________________________
Given number is 5.6
hence writing it in fractional form as explained above
5.6 = 56/10
56 = 28*2
10 = 2*5
5.6 = 56/10 = 2*28/2*5 = 28/5
Thus, 28/5 is equivalent of 5.6
f(x) = x2. What is g(x)?
Answer:
g (x-2) = x
Step-by-step explanation:
Set up the composite result function g (f(x))
Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2
finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x
Find the missing side length in the attached image
Answer:
the answer is x = 14 because 9-2=7 ×2 = 14
The following quadrilateral is a parallelogram.
Z
W
100°
?
X
Y
Angle Y measures _ degrees.
Answer:
100
Step-by-step explanation:
by definition, opposite angles of parallelograms are equal.
A swim team must be chosen from 10 candidates. What is the greatest number of different four-person teams that can be chosen?
Answer:
210 combinations
Step-by-step explanation:
The total number of candidates given = n = 10
The number of candidates to be chosen = r = 4
As in this, the sequence of the chosen candidates doesn't matter, we can use Combination to find the solution.
C(n,r) = n! / (n-r)! (r)!
where n = 10 and r = 4
C(10,4) = 10! / (10-4)! (4)!
C(10,4) = 10! / 6! 4!
C(10,4) = (10·9·8·7·6·5·4·3·2·1) / (6·5·4·3·2·1)(4·3·2·1)
C(10,4) = (10·9·8·7) / ((4·3·2·1))
C(10,4) = 210 combinations
Which transformations can be used to carry ABCD onto itself? The point of
rotation is (3,2). Check all that apply.
Answer:
A and B
Step-by-step explanation:
For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.
For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.
For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.
For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.
−7∘C denotes a temperature of 7∘C below 0∘C, what does 5∘C mean?
If abc=dec b=2x+31 and e=7x-24 x=?
Answer:
x = 11
Step-by-step explanation:
As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that
<A = <D
<C = <C
<B = <E
As both angles B and E are equal to each other, we can equate them
<B = <E
Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:
2x + 31 = 7x - 24
Solve for x:
7x - 2x = 31 +24
5x = 55
x = 11
Answer:
11
Step-by-step explanation:
In parallelogram ABCD, m∠ABD = 83°, m∠BDA = 34°, and m∠BCD = °.
This question is incomplete
Find attached to this answer the appropriate diagram required to answer the question.
This diagram was obtained online.
Answer:
63°
Step-by-step explanation:
We are told in the above question that for parallelogram ABCD, ∠ABD=83° and ∠BDA=34°.
To get the above angles, parallelogram ABCD was split into two triangles by a diagonal given us ∆ABD and ∆BCD
Remember that angles in a triangle = 180°
∆ABD has ∠ABD=83°, ∠BDA=34° and ∠DAB
180° = ∠ABD + ∠BDA+ ∠DAB
180° = 83° + 34° + ∠DAB
∠DAB = 180°-117°
=63°
Since ∆ABD and ∆BCD are similar triangles because they are from one parallelogram,
∠DAB = ∠BCD
= 63°
Therefore, the measure of the angle BCD is 63°.
Answer:
The answer is 63
Step-by-step explanation:
correct for plato
83+34+63=180
Filipe was playing with a triangle on a coordinate plane. The triangle's area is 24 square units. The largest circle he can fit in the triangle is centered at (0,0) and passes through the point (1.2,1.6). Approximately what percentage of the triangle does the circle cover?
Answer:
52.36%
Step-by-step explanation:
I did this problem on a test
52.33% is the percentage of the triangle does the circle cover.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Area of triangle = 24 sq units
Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).
We need to find the percentage of triangle covered by circle.
we need to find the area of circle.
To find the area of circle, we need the radius of circle.
Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.
Radius = =√(1.2-0)²+(1.6-0)²
=2 units
Now, area of circle is given by the formula:
Area = πr²=3.142×4=12.56 sq units
Percentage of Triangle covered:
Area of circle/Area of triangle × 100
12.56/24× 100
52.33%
Hence, 52.33% is the percentage of the triangle does the circle cover.
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Find the circumference and the area of a Circle with diameter 8km. Write your answer in terms of pi.
Answer:
8pi km, 16pi km
Step-by-step explanation:
The formula for circumference is d times pi
That means it's simply 8pi
The area formula is pi r^2
To find the radius, we divide by 2,
4 squared is 16
Area is 16pi
Solve for zzz. 42=-7(z-3)42=−7(z−3)
Answer:
False
Step-by-step explanation:
Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.
42 = -7(z - 3)42 = -7(z - 3)
Distribute
42 = -7z + 21*42 = -7z + 21
42 = -7z + 882 = -7z + 21
-42 to both sides
-7z + 840 = -7z + 21
-21 to both sides
-7z + 819 = -7z
+7z to both sides
819 = 0
Thus,
the given equation is false.
I hope this helps :)
Select the correct answer.
Which pair of functions is not a pair of inverse functions?
Answer:
the answer is a
Step-by-step explanation:
Please help me it’s eighth math
Answer:
48°
Step-by-step explanation:
Well a triangles angles all add up to 180 degrees and right now P and V add up to 132.
So we do 180-132 which is 48.
So angle x is 48°.
Answer:
48
Step-by-step explanation:
I triangle is 180 degrees so you do the equation 47+85+x=180
Which is the graph of the linear inequality 2x – 3y < 12?
B
Answer:
C.
Step-by-step explanation:
Given
2x - 3y < 12
Required
Find the graph it represents
we start by solving for the x and y intercepts;
Let x = 0
2x - 3y < 12 becomes
2(0) - 3y < 12
0 - 3y < 12
-3y < 12
Divide both sides by -3
-3y/3 < 12/-3
y > -4
Let y = 0
2x - 3y < 12 becomes
2x - 3(0) < 12
2x - 0 < 12
2x < 12
Divide both sides by 2
2x/2 < 12/2
x < 6
So, we have
x < 6 and y > -4
This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4
From the list of given options,only option C answers this question. The dotted lines actually represent inequalities
Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). Use this rule to find the coordinates of this point’s dilation from the origin, with a scale factor of 3: (−2, 4).
Answer:
3,8
Step-by-step explanation:
2020 hehehe
if Paul spins this spinner 100 times, approximately how many times will it land on blue? Spinner with three equal sections. One section blue, one section green, and one section red with the arrow pointing at the blue section.
a 25
b 250
c 33
d 333
Answer:
33
Step-by-step explanation:
100 / 3 is approximately equal to 33
Answer:
i think it is .c because 3 goes into about 33.33 times so hope this helps
Step-by-step explanation:
Please answer asap + brainly
Answer:
last one is the right answer
Answer:
d.5-eighths of a # plus negative 2 and 5-tenths.
Step-by-step explanation:
Hope i helped you.
Plz help me 3(x+1)=5+x
Answer:
x=1
Step-by-step explanation:
3x+3=5+x
3x-x+3=5
2x=2
x=1
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 1
▹ Step-by-Step Explanation
3(x + 1) = 5 + x
Distribute
3x + 3 = 5 + x
Move the variable to the left and change the sign
3x - x + 3 = 5
Collect like terms
2x = 5 - 3
Calculate
2x = 2
Final Answer
x = 1
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth.
A. 942.48 cm²
B. 376.99 cm²
C. 565.49 cm²
D. 226.19 cm²
Answer:
D
Step-by-step explanation:
To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula
2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².
Choose the slope and y-intercept that corresponds with the graph.
Answer:
slope 3, y intercept 4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses at y=4
The slope is positive since it goes from bottom left to top right
The slope is up 3 over 1 so it is 3/1 = 3
For all 5 problems in this assignment, use the following functions:
f(x) = x + 5
g(x) = x2 4x + 5
h(x) = 3x2 - 2x + 5
Match the function with its value.
(f+g)(x)
Choose...
(f*h)(x)
Choose...
h[f(5)] -g[h(1)] Choose...
Answer:
1.) x^2 + 3x
2.) 3x^2 - 3x
3.) 278
Step-by-step explanation:
You are given the following functions:
f(x) = x + 5
g(x) = x2 + 4x + 5
h(x) = 3x2 - 2x + 5
1.) To match the function with its value,
(f+g)(x) = f(x) + g(x)
Substitutes for the two functions
X + 5 = x^2 + 4x + 5
Collect the like terms and equate them to zero
X^2 + 4x - x + 5 - 5
X^2 + 3x
Therefore, (f+g) (x) = x^2 + 3x
2.) (f*h)(x) = f(x) × h(x)
x + 5 = 3x^2 - 2x + 5
Collect the like terms
3x^2 - 2x - x + 5 - 5
3x^2 - 3x
Therefore, (f×h)(x) = 3x^2 - 3x
3.) h[f(5)] -g[h(1)]
First find f(5)
That is, substitute x for 5 in f(x)
f(5) = 5 + 5 = 10
Also, do the same for h(1)
h(1) = 3(1)^2 - 2(1) + 5
h(1) = 3 - 2 + 5 = 6
h[f(5)] - g[h(1)]
= 3(10)^2 - 2(10) + 5 - (6)^2 + 4(6) + 5
= 300 - 20 + 5 - 36 + 24 + 5
= 334 - 56
= 278
Therefore, h[f(5)] - g[h(1)] = 278
Which is a true statement about an exterior angle of a triangle?
A. It is formed by two segments that are sides of the triangle.
B. It forms a linear pair with one of the interior angles of the triangle.
C. It is formed by two segments that are not sides of the triangle,
D. It is complementary to one of the interior angles of the triangle.
Answer:
B. It forms a linear pair with one of the interior angles of the triangle.
hope this helped! <3
The true statement concerning the exterior angles of a triangle is that it forms a linear pair with one of the interior angles of the triangle.
What is the exterior angle of a triangle?The exterior angle theorem asserts that the total of the opposing and non-adjacent internal angles of a triangle equals the measurement of each exterior angle.
When one side of a triangle is stretched in such a way that a non-straight angle is produced exterior of the triangle but near to an interior angle, an external angle is formed.
Therefore, we can conclude that the true statement concerning the exterior angles of a triangle is that it forms a linear pair with one of the interior angles of the triangle.
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