A dragon has been wreaking havoc n a local village. It is then chased away by a knight. The dragon flies 3miles due south followed by 4miles due west work out the distance between the dragon and the village find the bearing of the dragon from the village to the nearest degree
Answer:
a) 5m b) 53°
Step-by-step explanation:
a) √Bc²+AB²
=√4²+3²
=√16+9
=√25 =5m
b) tan θ =BC/AB
tanθ =4/3
so tan θ=53°
5. A student gets 9 out of 15 problems correct on a
homework assignment. What percent of the
assignment did the student get correct?
Answer:
60%
Step-by-step explanation:
9/15 as a decimal is 0.6 (use calculator) as a percentage it's %60 (0.6 * 100)
4) The radius of a circle is 3 meters. What is the circle's circumference?
r=3 m
Answer:
The circumstances of the circle is six
Step-by-step explanation:
3×2=2
3.26d+9.75d−2.65 what does this equal
Answer:
13.01d - 2.65
Step-by-step explanation:
3.26d + 9.75d − 2.65
combine like terms
3.26d + 9.75d = 13.01d
nothing further can be done, recombine
13.01d - 2.65
Pleaseeee show work
Answer:
The ladder is 9.54m (√91) tall
Step-by-step explanation:
(the blue triangle is all you would need to draw and the work in yellow)
Triangles STU and S'T'U' are congruent.
S
A
T'
U
S'
U
Which sequences of transformations on triangle STU can be used to create triangle S'T' U'? Choose all the possible sequences.
T
Answer:
Rotations
Transformations
Reflections
Select all of the expressions that are equal to 8 × 35 . A. 8 × ( 30 + 5 ) B. 5 + 3 × 35 C. ( 8 × 30 ) + ( 8 × 5 ) D. ( 8 + 30 ) × ( 8 + 5 ) E. 8 × ( 20 + 15 )
The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have expression:
= 8 × 35 ⇒ 280
A. 8 × (30 + 5) ⇒ 280
B. 5 + 3 × 35 ⇒ 110
C. (8 × 30) + (8 × 5) ⇒ 280
D. (8 + 30) × (8 + 5) ⇒ 494
E. 8 × (20 + 15) ⇒ 280
Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.
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Please help me do this mathematics question genius
The changes in Z would be = 6.1× 10^-4.
Calculation of the unknown valueZ = Sin (x³ +y³)
Where X = 0.3
y = 0.2
Z= Sin ( 0.3³ + 0.2³)
Z= Sin ( 0.027 + 0.008)
Z= Sin ( 0.035)
Z= 6.1× 10^-4
Therefore, the changes in Z would be = 6.1× 10^-4.
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HELP PLEASE 100 POINTS!!!!
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answer: AA similarity posulate
Step-by-step explanation:
In ΔAJM and ΔAPB,
∠PAB = ∠JAM,
Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.
∠AJM = ∠APB
So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB
Find the cardinal number of the following sets: (7mar
İ.
A={}
ii.
B= (0)
C=(3, 7, 11, 15)
D- (3, 3, 3, 4, 4, 5)
E= (x:x is a letter in the word 'STATISTICS'}
F= (x: x is an odd whole number less than 12}
G= (x:x is a factor of 12)
The cardinal number of the given sets are:
Set A = 0 Set B = 1Set C = 4Set D = 3 Set E = 5Set F = 6Set G = 6How to determine the cardinal number of the sets?As a general rule, the cardinal number of a set is the number of distinct elements in the set
Using the above definition the cardinal number of the given sets are:
Set A = 0 because it is an empty setSet B = 1Set C = 4Set D = 3 -- because it contains 3 distinct numbers i.e 3, 4 and 5Set E = 5-- because it contains 5 distinct letters i.e S, T, A, I and CSet F = 6Set G = 6Read more about sets at:
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What is the area of this shape?
The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.
How to determine the area of a compound shape
In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:
[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex] (1)
Now we proceed to calculate the area of the compound shape:
A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)
A = 157 km²
The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.
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whats the next term of arithmetic sequence 24,16,8,0
Explanation:
The jump from 24 to 16 is -8
The jump from 16 to 8 is also -8
Each time we need a new term, we add on -8 which is the common difference. So we'll add -8 to 0 to get 0 + (-8) = 0 - 8 = -8 as the next term.
If you wanted another term after that, then it would be -8 + (-8) = -8-8 = -16
Then the next term after that is -16+(-8) = -16-8 = -24, and so on.
Answer:
-8
Step-by-step explanation:
each time its going down by 8 meaning it would be -8
Consider the sequence of steps to solve the equation: 3(x - 4) + 5x = 9x - 36
Given = 3(x - 4) + 5x = 9x - 36
Step 1 = 3x - 12 + 5x = 9x - 36
Step 2 = 3x + 5x - 12 = 9x - 36
Step 3 =› 8x - 12 = 9x - 36
Step 4 => 8x - 8x - 12 = 9x - 8x - 36
Step 5 = 0 - 12 = x - 36
Step 6 = -12 = x - 36
Step 7 = -12 + 36 = x - 36 + 36
Step 8 = 24 = x + 0
Step 9 = 24 = x
Which property yields Step 7?
Answer:
adding equal no. to both sides of the equation
Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 17,7,-3,-13,-23
Answer:
-33
Step-by-step explanation:
The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.
The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33
Find two points (one to the left and one to the right) of the point (0, 9) that is one a line with the slope of show your work
Answer:
calculator soup can help just search what you're learning into g o o g l e and add calculator at the finish have a nice day
A local dry cleaner interviewed 10 candidates for the positions of cashier, washer, salesperson, and delivery driver. How many ways can they fill the 4 positions?
A) 14
B) 210
C) 5040
D) 151200
To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.
CombinationIn the given question, we have 10 candidates and 4 positions to be filled.
Data;
Number of candidates = 10Number of positions = 4[tex]^1^0C_4 = 210[/tex]
From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.
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What is the linear
function?
x=4, 5, 6, 7
Y = -24, 30, 36, -42
Answer:
[tex]y = -6x[/tex]
Step-by-step explanation:
We can see that with every [tex]x[/tex] value that increases, the [tex]y[/tex] value decreases by [tex]-6[/tex]. Thus the slope is [tex]-6[/tex], which would make the equation: [tex]y = -6x[/tex].
subtract-2x^2-6x+10 from -2x +9
Answer:
-4x0 -6x -1
Step-by-step explanation:
I believe its true.
What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?
Answer:
The distance is 1.41 to nearest hundredth.
Step-by-step explanation:
The line y = x + 3 passes through the point (0, 3) on the yaxis.
Find the perpendicular line passing through this point:
y - 3 = -1(x + 0)
y = -x + 3
Now find the point where this line intersects the line y = x + 1:
y = -x + 3
y = x + 1
-x + 3 = x + 1
3 -1 = x + x
2x = 2
x = 1
and y = 2
So this point is (1, 2)
We require the distance between this point and (0, 3)
This = √((3-2)^2 + (0-1)^2) = √2
= 1.4142
Find the surface area, to the nearest square centimeter, of a cylinder with diameter 6 cm and height 8 cm.
a. 48 cm²
C.
207 cm²
b.
452 cm²
d.
72 cm²
Answer:
[tex]\sf 207 \ cm^2[/tex]
Step-by-step explanation:
Surface area of cylinderdiameter = 6 cm
r = 6/2 = 3 cm
h = 8 cm
[tex]\sf \boxed{\text{\bf Surface area of cylinder = $2\pi r(h +r)$}}[/tex]
[tex]\sf = 2*3.14*3 * (3 +8)\\\\ = 2*3.14* 3 * 11\\\\= 207.24\\\\= 207 \ cm^2[/tex]
Please help me for the 2nd part
there isn’t an image provided I can’t help unless you give an image
As a member of the student council at your school, you want to determine if the seventh-grade students prefer to
have an after-school soccer program or an after-school movie club. There are 110 seventh-grade students at your
school, and you decide to take a sample of 20 students.
Describe in detail how you can randomly select 20 seventh-grade students for your sample.
Answer: I dont know
Step-by-step explanation: i need more information
3. What is the median of this data set
In the diagram above, <1=40. Find the measure of <4
<4 = [???]
Answer:
40 degrees.
Step-by-step explanation:
< 4 = < 1 = 40 degrees
( as they are vertical ( opposite) angles)
( US = vertical, UK = opposite)
Answer:
m∠4 = 40°
Step-by-step explanation:
we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°
5 less than thrice a number q is 10
Answer:
q = 5
Step-by-step explanation:
5 less than 3q is 10.
∴ 3q - 5 = 10
3q = 15
q = 5
Hope this helps!
11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.
(a) A heart or a black card
(b) A heart or a jack
(c) A heart and the ace of clubs
(d) A 9 or a jack
(e) The 9 of hearts or a jack
Answer:
3/44/137/262/135.52Step-by-step explanation:
(a)
Probability (A heart or a black card) = 13 + 26 / 52Probability (A heart or a black card) = 39/52Probability (A heart or a black card) = 3/4(b)
Probability (A heart or a jack) = 13 + 3 / 52Probability (A heart or a jack) = 16/52Probability (A heart or a jack) = 4/13(c)
Probability (A heart and the ace of clubs) = 13 + 1 / 52Probability (A heart and the ace of clubs) = 14/52Probability (A heart and the ace of clubs) = 7/26(d)
Probability (A 9 or a jack) = 4 + 4 / 52Probability (A 9 or a jack) = 8/52Probability (A 9 or a jack) = 2/13(e)
Probability (The 9 of hearts or a jack) = 1 + 4 / 52Probability (The 9 of hearts or a jack) = 5/52Use desmos to make one histogram for the time played (minutes) and the # of goals scored.
The format of the desmos that is used to make one histogram showing the time played (minutes) and the # of goals scored is given in the iimaged attached.
What is histogram?This is known to be a kind of graphical depiction that helps one to organizes a set of data points into a given ranges.
Note that the desmos given below can be used to make one histogram for the time played (minutes) and the # of goals scored when you follow the example that is given in the image attached. You can attached the time played and the number of goals by following the image description.
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Please help plsass….
Step-by-step explanation:
the area of a circle is
pi×r²
that is for the whole circle, which is the same as 360 degree arc.
now that we have only 254 out of the total of 360 degrees, the sector area is
pi×r² × 254/360
pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =
= 179.5420202... cm²
rounding to 1/10 is 180.0 cm².
so, it is actually D - none of the above.
Answer:
D. none of the above
Step-by-step explanation:
the area of a circle is
pi×r²
that is for the whole circle, which is the same as 360 degree arc.
now that we have only 254 out of the total of 360 degrees, the sector area is
pi×r² × 254/360
pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =
= 179.5420202... cm²
rounding to 1/10 is 180.0 cm².
so, it is actually D - none of the above.
What is the slope of the line that passes through the points (4,8) and (8,6)? Write your answer in the simplest form
Use a quadratic equation to find two real numbers that satisfies the situation.
The sum of the two numbers is 2, and their product is -48.
a. -6, -8
C.
-6, 8
b.
6,-8
d.
no such numbers exist
Answer:
its C
Step-by-step explanation: