Answer:
17.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 73 = x /18
18 sin 73 =x
17.21348561 =x
To the nearest tenth
17.2 =x
How many four-digit integers contain only the digits 1, 2, 3, 4, and 5, with the property that no two consecutive digits are the same?
Answer:
120
Step-by-step explanation:
we solve this question by using permutation because the order matters
nPr
5P4 = 120
Solve each equation. Show your work or explain your method. Each explanation is worth 2 points. A. 2(x - 3) = 14 b. 12 (x + 10) = 24 c. 1/6(x + 6) = 11
Answer:
A. 3x+2=14. 3×+2-2=14-2. 3×=12
B. 12(×+10)=24. (12)(×)+(12)(10)=24. 12+120=24. 12×+120-120=24-120
C. 12×= -96. 12×/12. -95/12 x= -8
enlarge the triangle by a scale factor of -1.5 with centre of englargement (3,6)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
How to enlarge a triangle on a Cartesian plane by rigid transformation
In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of enlargementk - Scale factorP(x, y) - Original pointP'(x, y) - Resulting pointIf we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:
A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]
A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)
A'(x, y) = (3, 6) + (3, - 3)
A'(x, y) = (6, 3)
B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]
B'(x, y) = (3, 6) + (- 1.5) · (0, 2)
B'(x, y) = (3, 6) + (0, - 3)
B'(x, y) = (3, 3)
C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]
C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)
C'(x, y) = (3, 6) + (3, - 6)
C'(x, y) = (6, 0)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
To learn more on rigid transformations: https://brainly.com/question/1761538
#SPJ1
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Answer:
$77.90
Step-by-step explanation:
The range between the highest and lowest is 27.50 so the lowest should be 27.50 less than 105.40. 105.40-27.50=77.90
So the lowest pay is $77.90
least to greatest.
8. Choose the inequality that represents the following
graph.
4 +
-5 -4
+
-2
-3
-1
0
1
2
3
4
5
A. x < 1
B. X<1
find
D. XX1
C. x > 1
Answer:
4+5-1535648&574£abjibav fgjr
Answer:
D. x ≥ 1
Step-by-step explanation:
The graph shows a shaded circle which starts at 1. This implies that 1 is included in the possible values of x. The line goes from 1 towards our tight. This means that the possible values of x are greater than or equal to 1.
The inequality representing the graph would be:
x ≥ 1
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Alguien sabe como resolver esto?
Answer:
i think let me see
Step-by-step explanation:
Does anyone know this???
Answer:
a) 40 is the interquartile range
descriptive statistics, the interquartile range, also called the midspread, middle 50%, or H‑spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.
b).
The first thing you always need to do before estimating fractions is to round each fraction either to the nearest 0, 1/2, or 1. Example #1. Estimate 3/7 + 5/9. Notice that 3/7 is close to 1/2 and 5/9 is also close to 1/2. Therefore, an estimate for 3/7 + 5/9 is 1/2 + 1/2 = 1.
Which sequences are geometric? Check all that apply.
Step-by-step explanation:
A geometric sequence is when we multiply one number by a set rate to obtain the next number.
For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric
Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric
Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric
Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric
Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric
Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.
Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric
Subtract: (-137° + 6) - (-43°) Your answer should be in simplest terms. Enter the correct answer.
Answer:
-9y⁹ + 6
Step-by-step explanation:
Subtracting a negative makes it positive
-13y⁹ + 6 + 4y⁹
combine like terms
-9y⁹ + 6
HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY
The Answer is:
B) -3/2
solve using the quadratic formula 2x^2+9x=5
Answer:
x = -1/2, x = -5 OR x = -0.5 and x = -4
Step-by-step explanation:
I’ll just put a picture, I can’t fully explain digitally. ;D
Find the circumference of a circle with diameter,
d
= 3.2m.
Give your answer rounded to 2 DP.
Answer:
[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]
Answer:
circumference=10.05 m
Step-by-step explanation:
radius =diameter/2
=3.2/2
=1.6 m
circumference=2πr
=2*3.14*1.6
=10.048 m
=10.05 m
plzz help me ,.......
Answer:
Step-by-step explanation:
answer for question no 3
answer for question no 4
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
What are the ordered pairs for all of the points
Answer:
A ( 3 , 4 )
B ( -3 , 2 )
C ( -2 , -4 )
D ( 6 , -3 )
E ( 0 , 0 )
Step-by-step explanation:
remember that x values go first and then y values ( x , y )
Somebody help i need to find the value of x and classify the sides and angles
Answer:
a) x=18
b) 36 (2*18)
c) 54 (3*18)
d) I'm not exactly sure what it's asking for, so I don't know
Step-by-step explanation:
triangle sum theorem means the sum of every triangle is 180 degrees
so we can make this equation: 180 = 90 + 2x + 3x
solve and you get 18.
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4
Answer:
y-y1=m(x-x1)
y-1/3=3/4(x-4)
y=3/4x-8/3
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
72 m^3
Step-by-step explanation:
volume of the kiosk = volume of cylinder + volume of cone
volume of a cylinder = nr^2h
n = 3.14
r = radius = 5/2 = 2.5
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x (2.5^2) x 3 = 58.88
Volume of a cone = 1/3(nr^2h)
3.14 x 1/3 x (2.5^2) x 2 = 13.08
13.08 + 58.88 = 71.96
To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
= 72 m^3
A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
x ≈ 69.6°
Step-by-step explanation:
The angle of elevation is the measure of angle x
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°
The angle of elevation is 69.6° ( to the nearest tenth )
solve for x round to the nearest tenth if necessary.
Answer:
20.4
Step-by-step explanation:
use trig relations with the angle 74˚
the sides we know are the hyp (74) and the adj side to 74˚ (x).
the trig function associated with hyp and adj is cos.
cos = adj/hyp.
cos 74˚ = x/74
0.27 = x/74
x = 20.39
x = 20.4
Answer:
20.4
Step-by-step explanation:
1. c = b · sin(C) / sin(B) = 20.39716
This is the equation to find x.
c = x
b = 74
C = ?
B = 90
2. C must be found. We know that A is 90 and B is 74.
3. 180 = 90 + 74 + C
According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.
4. 180 = 164 + C
You must do 180 - 164 which equals 16.
5. C = 16
This means that 16 is what C equals. You can finally plug in the equation with all the gathered information
c = x
b = 74
C = 16
B = 90
4. x = 74 · sin(16) / sin(90) =
You could use a calculator to find the answer.
5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm. Show that ia + 91 +b=0 where a and b are integers to be found.
Answer:
[tex]x^2-10x+18=0[/tex]
a = -10 and b = 18.
Step-by-step explanation:
Let w represent the width of the rectangle.
We are given that the perimeter of the rectangle is 20 cm, this means that:
[tex]20=2(x + w)[/tex]
Let's put w in terms of x. Divide both sides by two:
[tex]10=x+w[/tex]
And solve for w:
[tex]w=10-x[/tex]
So, the rectangle measures x by (10 - x) cm.
According to the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
a and b are the legs and c is the hypotenuse.
Substitute x for a, w for b, and 8 for c:
[tex]x^2+w^2=8^2[/tex]
Simplify and substitute:
[tex]x^2+(10-x)^2=64[/tex]
Square:
[tex]x^2+(100-20x+x^2)=64[/tex]
Isolate the equation. So:
[tex]2x^2-20x+36=0[/tex]
Since the leading coefficient is one, divide both sides by two:
[tex]x^2-10x+18=0[/tex]
Therefore, a = -10 and b = 18.
Question: Solve for x.
Answer:
x = 24
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(14+18)* 18 = x^2
32*18 = x^2
576 = x^2
Take the square root of each side
sqrt(576) = sqrt(x^2)
24 =x
What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?
Answer:
7.69
Step-by-step explanation:
13.99 x 0.45 = 6.2955 or 6.3
13.99 - 6.3 = 7.69
Find the missing side
Answer:
x = 12.35
Step-by-step explanation:
Tan(39) = 10/x
Tan(39) * x = 10
x = 10 / Tan(39)
x = 12.35
Hope this helps!
Answer:
Step-by-step explanation:
Remember SOHCAHTOA.
In this case, we use TOA.
tan(39) = 10/x
x = 10/tan(39)
x = 12.349
The bike owner counted 32 wheels and 18 seats.
Remember that each bicycle and unicycle has 1 seat. Use b for the number of
bicycles and u for number of unicycles.
Answer:
b = 14
u = 4
Step-by-step explanation:
I manually counted because I forgot how to solve this. HAHA
Hope this helps
HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
1 cm =5ft
2.7 cm =?
cross multiplying gives:
2.7 X 5= 13.5 ft
In trapezoid KLMN, solve for x ,then use that value to solve for
Answer:
Same side angles are supplementary
L+k=180
18x-18+72=180
18x=126
x=7
m∠18(7)-18
= 108°
---------------------
hope it helps...
have a grat day
HELP ME PLEASE ASAP I HAVE TO GET THIS DONE TODAY OR ILL FAIL
Answer:
(1,-8)
Step-by-step explanation:
this is be because a rectangle is parralel so opposite ends will have equal sides, if you were to graph this, there would be a missing point in the spot (1,-8).
Answer:
(1,-8)
Step-by-step explanation:
Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).