Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings
Answer:
2.08 meters
Step-by-step explanation:
From the diagram attached :
We can calculate the height of the shorter building using trigonometry :
s = Height of shorter building
t = height of taller building
Tanθ = opposite / Adjacent
θ = 36°
Adjacent = 12, opposite = s
Tan36° = s / 12
0.7265425 × 12 = s
s = 8.72 meters
s = height of shorter building 8.72 meters ( 2 decimal places)
Height of taller building :
Tanθ = opposite / Adjacent
θ = 48°
Adjacent = t ; opposite = 12
Tan48° = 12 / t
1.1106125 = 12 / t
1.1106125 × t = 12
t = 12 / 1.1106125
t = 10.80 meters ( 2 decimal places)
Height of Taller building = 10.80 meters
Difference in height :
(10.80m - 8.72m) = 2.08 meters
Math help on functions? Will award brainliest answer
Answer:
The manatee was swimming very passively when all of a sudden it saw a parrot fish! The parrot fish was considered incredibly rare where the manatee lived and was very playful with manatees. The manatee chased the parrot fish but as if playing tag, the parrot fish agilely swam farther and farther away. At this point the manatee and parrot had been playing "tag" for 300 seconds and were 1000 feet away from the dock where the manatee lived. Eventually when the manatee and parrot fish hit 400 seconds, the manatee became exhausted and decided to head back to the dock but all of a sudden the parrot fish slapped it with its fins! Unable to take the provocation the manatee became filled with vigor once again and started playing again but at the 500 mark it truly became exhausted and no longer could play regardless of what the parrot fish did and headed back to the dock. It took 150 seconds to get back to the dock and it had been away from the dock for 650 seconds.
Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary
Evaluate the piecewise function at the indicated values from the domain:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at [tex]x = 0[/tex]
We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:
[tex]f(x) = 1, 0 \leq x < 2[/tex]
Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003
חן
d
60°
30°
e
The product of sin 30° and sin 60° is same as the product of
and
Answer:
Step-by-step explanation:
This is a fascinating question. It turns out to be true because of the relationship between a 30 degree angle and a 60 degree angle
The answer is that the product of sin30*sin60 = cos(30)*cos(60). This happens because sin(60) = cos(90-60) = cos(30)
Other angles will do the same thing sin36 * sin54 = cos(54)*cos(36)
There are (43)2⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm?
Answer:
3,440 strawberries
Step-by-step explanation:
Because of PEMDAS you want to start with the parentheses, and want to treat them like the distributive property.
So,
43 x 2 = 86
Then,
86 x 40 = 3440.
I hope that helps!!
Answer: 3440 strawberries on the farm.
Step-by-step explanation: (43)(2)⋅40 (86)(40) 3440
evaluate 1 whole number 2/5 + 3/4 and give your answer to one significant figure
Answer:
The answer is
2 to 1 significant figureStep-by-step explanation:
[tex]1 \frac{2}{5} + \frac{3}{4} [/tex]
To solve the question first convert the mixed fraction to an improper fraction
That's
[tex]1 \frac{2}{5} = \frac{7}{5} [/tex]
So we have
[tex] \frac{7}{5} + \frac{3}{4} [/tex]
Find the LCM of the fractions
The LCM of 5 and 4 is 20
That's
[tex] \frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20} [/tex]
[tex] = \frac{43}{20} [/tex]
= 2.15
We have the final answer as
2 to 1 significant figureHope this helps you
2 + 8(x + 2) = 52
a 3
b 1
C2
d 4
Step-by-step explanation:
[tex]2 + 8(x + 2) = 52 [/tex]
[tex]2 + 8x + 16 = 52[/tex]
[tex]8x + 18 = 52[/tex]
[tex]8x = 52 - 18[/tex]
[tex]8x = 32[/tex]
[tex]x = \frac{34}{8} [/tex]
[tex]x = 4.25[/tex]
Hope it helps u
The 3 question please with explained
Answer:
Step-by-step explanation:
Rectangle:
length = l = 12 cm
Width = w = 0.8 cm
Use Pythagorean theorem to find the diagonal
Diagonal² = l² + w²
= 12² + 0.8²
= 144 + 0.64
= 144.64
Diagonal = √144.64 = 12.03 cm
Diagonal of square = diagonal of rectangle
= 12.03 cm
To find the side of square again use Pythagorean theorem,
side² + side² = 12.03²
2 sides² = 144.64
side² = 144.64/2
side² = 72.32
side = √72.32
Side = 8.50 cm
243 as a power of 3
Answer:
243 as a power of 3
= 3^5
=243
A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?
Answer:
(-8,2)
Step-by-step explanation:
This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.
(x,y) --> (x,-y)
(-8,-2) --> (-8,2)
there are 10 marbels in a bag, 4 are multi colored and 6 are solid. what is the probability of picking a solid marble and then another solid marble without replacing the first marble?
Answer:
(2/5) * (3/4) = 3/10 = 0.3
please help............
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
-k^2-(7k-5n)+9n
k= -1
n= -2
Answer:
-k² - (7k - 5n) + 9n
-(-1)² - [7(-1) - 5(-2)] + 9(-2)
-1 - [-7 - (-10)] - 18
-1 - 3 - 18
= -22
PLEASE HELP ME 15 POINTS!!!!!!
Answer:
Below
Step-by-step explanation:
Let's say that x represents the mystery number
3(x + 3) = 4x - 23
3x + 9 = 4x - 23
3x - 4x = -23 - 9
x = 32
Hope this helps!
4n-6 (n - 2) = -24 + 7n
O No Solutions
O All Real Numbers
O n = 4
O n = 2.9
[(-33) + 46 + 68] - |15 - 61|
Answer:
127
Step-by-step explanation:
[(-33) + 46 + 68] - (15 - 61)
(114-33)-(-46)
81+46
127
Which of the following characteristics best describes the given function of
f(x) = -2x + 5 ?
A) minimum, always decreasing, exponential function
B) minimum, always decreasing, linear absolute value function
C) no maximum or minimum, always increasing, linear function
D) no maximum or minimum, always decreasing, linear function
Answer:
D
Step-by-step explanation:
the Negative sign in front of 2 shows the function is decreasing
For each of the following expressions, decide whether it is a polynomial. Explain your answer.
1. x2+3x12 I
2. 13x2y-9y2
3. 3x-3
4. 23t2-1t2
Answer:
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
Step-by-step explanation:
Hope This Helps man
I need help with this plzzzz and this is the thing to the other thing I posted
Answer:
A. A, B, C, D
Step-by-step explanation:
A. 4.99 ÷ 2.25 = 2.1777...
B. 5.50 ÷ 1.75 = 3.142857143
C. 10.99 ÷ 4.50 = 2.44222...
D. 2.99/0.5 = 5.98/1
Answer:
a. A, C, B, D
Step-by-step explanation:
A. 9/4 = 2.25
2.25/4.99 = 1/x
2.25x ÷ 2.25 = x
4.99 ÷ 2.25 = 2.22
$2.22 per pound
B. 7/4 = 1.75
1.75/5.50 = 1/x
1.75x ÷ 1.75 = x
5.50 ÷ 1.75 = 3.14
$3.14 per pound
C. 9/2 = 4.5
4.5/10.99 = 1/x
4.5x ÷ 4.5 = x
10.99 ÷ 4.5 = 2.44
$2.44 per pound
D. 1/2 = 0.5
0.5/2.99 = 1/x
0.5x ÷ 0.5 = x
2.99 ÷ 0.5 = 5.98
$5.98 per pound
Find the HCF of: 5a²b² and 9x³y³
Answer:
1
Step-by-step explanation:
To do this, we can first look at each factor of each number.
For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²
For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.
The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF
Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1
jika pola barisan aritmatika adalah -18,-22,-26,-30, maka u20 + u 22 adalah
Answer:
-196
Step-by-step explanation:
Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.
Dari urutan tersebut, kita bisa membuat beberapa potongan.
Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4
Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20
U20 = a + (20-1)
d U20 = -18 + 19 (-4) = -18 - 76 = -94
U22 = a + (22-1) d
U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;
U22 + U20 = -102 + (-94) = -196
Which of the following best describes when a relation is a function?
O A. Each element in the domain is the same as each element in the
range.
O B. Each element in the domain is twice the size of each element in
the range.
C. Each element in the domain is paired with just one element in the
range.
O D. Each element in the domain is paired with at least one element in
the range.
Answer:
Step-by-step explanation:
The answer is C.
That's another way of using the vertical line test. Put a ruler perpendicular to the x axis and going through a point. If the ruler hits only one point, then then if all the points plotted do the same thing, then the points make a function.
C says the same thing. Only 1 element in the domain (x) can be associated with 1 y value (the range). If there is more than 1 y value, then you do not have a function.
in another baseball division one team had a winning of 0.444 what fraction of their team did this team win
what the answer???
11x10-12/3
Answer:
106
Step-by-step explanation:
12 divided by three subtracted by 11 Multiplied by 10
11 times 10 is 110
12 divided by 3 is 4
110-4= 106
Your answer to 11 x 10 - 12/3=106
Please answer both!
36) what is the area of a parallelogram having a base of 2Qft and height as 6/F
37) what is the area of a trapezoid having bases of 2ft and 6ft, and height of 12/jf
Answer:
36)12(37)0.67
Step-by-step explanation:
36)A=base×height
A=2×6
A=12
37)A=a+b/2h
A=2+6/12
A=8/12
A=0.67
help me guys it's important
Answer:
Does the answer help you?
Answer:
36 cm³
Step-by-step explanation:
Volume of R1 :
length = 5 cm
Width = 2 cm
Height = 2 cm
Volume = 5 * 2 * 2 = 20 cm³
Volume of R2:
length = 4 cm
Width = 2 cm
Height = 2 cm
Volume = 4 * 2 * 2 = 16 cm³
Volume of the figure = 20 + 16 = 36 cm³
1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B
Answer:
Value of x = 20°
Angle B = 60°
Exterior angle to B = 300°
Step-by-step explanation:
Given:
Angles of triangle.
A = 2x
B = 3x
C = 4x
We know that,
A + B + C = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Value of x = 20°
Angle B = 3x
Angle B = 3(20°)
Angle B = 60°
Exterior angle to B = 360° - 60°
Exterior angle to B = 300°
What is the domain of the function shown on the graph?
This is another way of saying "the set of all real numbers". This is because there are no restrictions we must place on x. The graph extends infinitely in both left and right directions as the arrows indicate. Any x value can be plugged in to get some y output.
In interval notation, the domain would be written as [tex](-\infty, \infty)[/tex]
Help I dont understand this
Identify any transformations that are used in each image below.
Some images may have multiple answers so make sure to include them all.
-Reflections - how many lines of symmetry and what specific type: vertical (y-axis), horizontal (x-axis), diagonal (y=x or y=-x)
-Rotations - of which order or how many degrees/angle of rotation
a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.
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b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.
----------------------
c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.
----------------------
d. Reflectional symmetry and rotational symmetry. Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.
----------------------
e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.
-----------------------
f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.