Answer:
∠FDE or ∠GDA
Step-by-step explanation:
The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.
Here, in this diagram, there are 2 adjacent angles for ∠FDG :
∠FDE∠GDA9 in.
5 in.
4
5 in.
What is the volume of a square pyramid that has a
base length of 5 inches and a height of 9 inches?
cubic inches
Volume of a pyramid: V = Bh Where "B" is the area of the pyramid's base)
Answer:
75
Step-by-step explanation:
1/3 * 5² * 9 = V
1/3 * 25 * 9
= 75
What is the measure of "?"
Answer:
60
Step-by-step explanation:
help plssssssssssssssssssss
Answer:
The circumference is 75.36 inches.
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!
Given:We are given the radius that’s equal to 12 inches and π = 3.14
Problem:We want to find the circumference.
Circumference Formula:[tex]\displaystyle \large{C=2\pi r}[/tex] which simply means circumference = 2*π*radius or sometimes can also be written as [tex]\displaystyle \large{C=\pi d}[/tex] which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.
Step:Determine the following:
π = 3.14 as givenr = 12 as givenApply the circumference formula.
[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}[/tex]
Hence, the circumference is 75.36 inches.
Answer:
75.36 in^2
Step-by-step explanation:
24*3.14
=75.36 in^2
What digit makes this statement true?
Divisibility
answer
1. 864,960
is the answer
Step-by-step explanation:
I'm correct because I'm a teacher
Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre
Answer:
c.
Step-by-step explanation:
15-3-3=9...........
A model stature is 5 in wide. If it was built with a scale of 1 in: 2 ft, then how wide is the real statue?
(Pls awnser quickly)
Answer:
10 ft.
Step-by-step explanation:
Scale ⇒ 1 in. : 2 ft.
1 in. : 2ft. = 5 in. : x ft. [x is the width of the real statue]1/2 = 5/xx = 5 × 2x = 10 ft.Scale factor
1in=2ftWidth of model=5in
Width of structure
5(2)10ftPlease help with this! Thanks
a) The arrangement of 9 paintings can be done 9 ways.
b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
a) Here if she has 9 paintings so the number of the arrangements will be
[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]
b) The arrangement of the 4 out of 9 paintings will be
[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]
Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.
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Simplify 12.4 and 12.39
Answer:
12.4 and 12.39 = 4.836x12
Step-by-step explanation:
Complete the recursive formula of f (n)
The value of the given function will be written as:-
a) f(1)= 12
b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given function is :-
[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]
So the value of the given function f(1) will be:-
[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]
The value of the function f(n-1) will be:-
[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]
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Please help with my math
[tex]7 \times {10}^{ - 3} [/tex]
Hopefully you got what I meant, this is easy.
Determine the next two terms in the arithmetic sequence.
5, 11, 17, 23,
The sequence is add 6 so the answer is 29 and 35
Answer:
Next two will be 41, 47
Step-by-step explanation:
5+6= 11
11+6= 17
17+6= 23
23+6= 29
29+6= 35
35+6= 41
41+6= 47
Answer:
29 and 39
Step-by-step explanation:
can someone please solve this crossword puzzle of proofs for me?
Answers:
Across:
BisectsGivenABDAngle BisectorReflexiveABDAASDown:
GivenCM = MKMidpointNKMAlternate InteriorCMEVerticalASA======================================================
Explanations:
Always start with the given statements and build toward the thing you want to prove. The first line(s) will basically be restating the given facts word for word.
The term "bisect" means to "divide in two equal pieces". Angle ABC is split into the two equal pieces of angles ABD and CBD, hence ABD = CBD. Segment CK is split into the equal pieces of CM and MK, meaning that CM = MK.
The reflexive theorem says any segment is congruent to itself, so BD = BD.
Vertical angles are formed when we intersect two lines to form an X shape. The vertical angles are opposite one another and always congruent.
Alternate interior angles are always congruent when we have parallel lines.
The AAS (angle angle side) congruence theorem says that two triangles are congruent if we have two pairs of congruent angles, and a pair of congruent sides. The congruent sides are not between the angles mentioned. The order matters.
AAS is slightly different from ASA. With ASA, the congruent sides are between the congruent angles.
Topic 16-1 number 13.Draw and label parallel lines XY and RS.Then draw and label TS so it is perpendicular to both XY and RS.Draw point Z on TS.
Envision Math 4th grade
Parallel lines are lines which are equidistant to each other long every point on both lines.
What is a perpendicular line?A line is said to be perpendicular if it crosses another line at exactly 90°. Hence, as depicted in the image attached, TZ is perpendicular to RS.
It is important to note that perpendicular lines always bisect one another and that the slopes of lines that are perpendicular are negative of each other and reciprocals.
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amar rakes leaves for his neighbors to earn money he earned 64 dollars after 8 hours of work
how much does amar make per hour raking leaves
For a charity initiative, 420 t-shirts were made; in the morning 1/3 of the t-shirts is sold and in the afternoon 4/7 of the remaining ones. How many shirts are left to sell at the end of the day?
1/3 * 420 = amount of t-shirts sold in the morning
1/3 * 420 = 420/3 = 140 t-shirts
140 t-shirts were sold, so remaining is 420 - 140
420 - 140 = 280 remaining t-shirts
4/7 * 280 = amount of t-shirts sold in the afternoon
4/7 * 280 = (280/7) * 4 = 40 * 4 = 160 t-shirts
160 t-shirts were sold, so remaining is 280 - 160
the remaining t-shirts = 120 t-shirts
120 t-shirts are left to sell at the end of the day
+) First, simplify the fraction.
180
?
t
4
m
Answer:
hope this will help you
[tex] \frac{180}{t} = \frac{?}{4} \\ t = 180 \times 4 \\ t = 720[/tex]
The length of time it takes a worker to assemble a large product is assumed to be normally distributed. a random sample of 25 workers a were selected, and their times to assemble the product were recorded. the mean and variance for this sample were 3 and 0.5 hours, respectively.
the 90 percent confidence interval for the mean length of time (in hours) it takes a worker to assemble the product _____ hours to ______ hours
Using the t-distribution, it is found that the 90% confidence interval is of 2.71 hours to 3.29 hours.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.
The other parameters are given as follows:
[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]
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Which value of x solves the equation below?
10(x - 1) = 8x - 2
x = 5
X= 6
th
x=2
X= 4
Answer:
x = 4
Step-by-step explanation:
10(x - 1) = 8x - 2
10x - 10 = 8x - 2
10x = 8x + 8
2x = 8
x = 4
In the previous task you saw that the number of
moves to solve the Tower of Hanoi with n disks
given by the equation an -2-1.
What is the fewest number of moves required for
7 disks?
13
64
J
127
128
COMPLETE
ANSWER:127
Using the given equation, it is found that the fewest number of moves required for 7 disks is of 127.
What is the fewest number of moves needed with n disks?It is given by the following equation:
[tex]a_n = 2^n - 1[/tex]
In this problem, we have 7 disks, hence the fewest number of moves needed is given by:
[tex]a_7 = 2^7 - 1 = 127[/tex]
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Answer:
127
Step-by-step explanation:
how many pop tarts come in a pop tart?
A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.
Answer:
76.47
How I did it(using a specific range)
(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47
The top three teams qualified to compete at the state competition. At the state competition, however, scoring is done differently than at the other meets. Use the following information to create a system of equations where is the points for first place, is the points for second place, and is the points for third place.
Results:
Eagles got 5 first-place, 3 second-place, and 4 third-place finishes with a team total of 67 points.
Pirates got 2 first-place, 5 second-place, and 5 third-place finishes with a team total of 56.
Devil Rays got 6 first-place, 3 second-place and 3 third-place finishes with a team total of 72.
We can’t believe the Devil Rays came from behind and won! We need to determine how many points were awarded for each place. Use Cramer’s rule or inverse method to get the answers. Explain your process.
The equations are
5x+3y+4z=672x+5y+5z=566x+3y+3z=72Lets solve them through matrix
Let
[tex]\\ \rm\Rrightarrow A=\left[\begin{array}{ccc}\rm 5&\rm 3&\rm 4\\ \rm 2&\rm 5&\rm 5\\ \rm 6&\rm 3&\rm3\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow B=\left[\begin{array}{c}\rm 67 \\ \rm 56\\ \rm 72\end{array}\right][/tex]
Let solve
Determinant of A
[tex]\\ \rm\Rrightarrow |A|[/tex]
[tex]\\ \rm\Rrightarrow 5\left|\begin{array}{cc}\rm 5&\rm 5\\ \rm 3&\rm 3\end{array}\right|-3\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|+4\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|[/tex]
[tex]\\ \rm\Rrightarrow 5(15-15)-3(6-30)+4(6-30)[/tex]
[tex]\\ \rm\Rrightarrow 72-96[/tex]
[tex]\\ \rm\Rrightarrow -24[/tex]
Cofactor[tex]\\ \rm\Rrightarrow A_{11}=0[/tex]
[tex]\\ \rm\Rrightarrow A_{12}=24[/tex]
[tex]\\ \rm\Rrightarrow A_{13}=-24[/tex]
[tex]\\ \rm\Rrightarrow A_{21}=3[/tex]
[tex]\\ \rm\Rrightarrow A_{22}=-9[/tex]
[tex]\\ \rm\Rrightarrow A_{23}=3[/tex]
[tex]\\ \rm\Rrightarrow A_{31}=-5[/tex]
[tex]\\ \rm\Rrightarrow A_{32}=-17[/tex]
[tex]\\ \rm\Rrightarrow A_{33}=19[/tex]
Cofactor of A[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right][/tex]
Adjacent of A[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right]^T[/tex]
[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]
Inverse of A[tex]\\ \rm\Rrightarrow \dfrac{1}{|A|}\times Adj.A[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]
Now
[tex]\\ \rm\Rrightarrow AX=B[/tex]
[tex]\\ \rm\Rrightarrow X=A^{-1}B[/tex]
[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right]\left[\begin{array}{c}\rm 67\\ \rm 56\\ \rm 72\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{c}\rm -192\\ \rm -120\\ \rm -72\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]
So
[tex]\\ \rm\Rrightarrow \left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right]=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]
We get
x=8y=5z=3Anthony graphed the inequality y < -2x + 1 as shown.
What error did Anthony make?
Answer:
See below ~
Step-by-step explanation:
Anthony has graphed the inequality y ≤ -2x + 1.
For an inequality using a > or < sign, a dotted line has to be used instead of a solid line.
Kellie bought 8 towels and spent $39.60.Each towel costs the same amount.
Part B
What is the price, in dollars, of 11 towel?
Answer: $54.45
Step-by-step explanation:
First, we will find the price of one towel.
-> We will divide the cost by the towels bought.
$39.60 / 8 = $4.95
Now, we can find the price of 11 towels.
-> We will multiply the cost of one towel by 11 to find the total cost.
$4.95 * 11 = $54.45
Answer:
$54.45
Step-by-step explanation:
Given:
Number of towels = 8
Money spent on towels = $39.60
To Find:
What is the price, in dollars, of 11 towel?
Solve:
Since, each towels cost the same amount then we can divide the cost by number of towels.
39.60/8 = 4.95
Thus, Each towel costs $4.95
Then we are trying to find the price in dollars of 11 towels.
Knowing that 1 towels cost $4.95 then 11 towels:
4.95 × 11 = $54.45
Kavinsky
use the dots for one and two. what is the difference between the ranges
a. 20 points
b. 5 points
c. 10 points
d. 35 points
Answer:
a. 20 points
Step-by-step explanation:
Range = Largest given value - Smallest given value.
Identifying the range of test 1
Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.
So range of test 1 = 90 - 50 = 40
Identifying the range of test 2
Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100
So range = 100 - 40 = 60
Identifying the differences between the ranges
Test 1 range : 40
Test 2 range : 60
Difference between the two : 60 - 40 = 20 points
What is 15 1/3 in radical form?
2/15
15
Answer:
∛15.
Step-by-step explanation:
15^1/3
= ∛15.
Find the surface area and the volume of the cylinder below.
Answer:
70
Step-by-step explanation:
10x7=70. basically, bxh base 10 height 7
[tex]10/7 + 2/20 + 7-4[/tex]
[tex]\dfrac{10} 7 + \dfrac 2{20} +7 - 4\\\\\\=\dfrac{20(10)+7(2)}{140}+3\\\\\\=\dfrac{200+14+140(3)}{140}\\\\\\=\dfrac{634}{140}\\\\\\=\dfrac{317}{70}[/tex]
Peter has 96 stamps and Sam has 63. How many stamps should Sam give Peter so that Peter will have twice as many stamps as Sam? equation please
Answer:15
Step-by-step explanation:
96÷2=48
63-48=15
So Sam should give Peter 15 of his stamps so that Peter will have twice as many stamps as him.
Answer:
10 stamps
Step-by-step explanation:
Let n = the number of stamps Sam gives Peter.
63 - n is the number stamps Sam has after giving some of them to Peter.
Peter starts with 96 stamps.
After Sam gives Peter n stamps, Sam will have 96 + n stamps.
2(63 - n) = 96 + n
126 - 2n = 96 + n
-3n = -30
n = 10
Answer: 10 stamps
I'm having difficulties with this haha please help :(
If the function is h(t) = - 4.9t² + 39.2t + 5. Then the maximum height will be 83.4 meters.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given as
h(t) = - 4.9t² + 39.2t + 5
Then the differentiation of the function will be
h'(t) = - 9.8t + 39.2
For the maximum height, put h'(t) equals zero. Then we have
h'(t) = 0
- 9.8t + 39.2 = 0
t = 4
Then the maximum height will be
h(t) = - 4.9(4)² + 39.2 x 4 + 5
h(t) = - 4.9 x 16 + 39.2 x 4 + 5
h(t) = - 78.4 + 156.8 + 5
h(t) = 83.4 meters
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