Answer:
height= 13.2 cm
Step-by-step explanation:
h = 2 × A/b
h = 2 × 33 /5
= 13.2
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.
What expression could she write to determine the perimeter of the triangle if s represents the length of the shortest side?
The garden's perimeter = 3+2s+12+s.
The simpler version of the expression = 15+3s.
The variable's frequency in the abbreviated statement is 3.
Calculation of a triangle's perimeter:The triangle's perimeter is equivalent to the sum of its edges, where a, b, and c are its sides.
Let the triangle's longest edge be 'a'shorter one to be 's'the opposite side 'b'With the information provided, the formula will become 'a = 3+2s'
and 'b' is also 12 ft.
Triangle perimeter =the total of its edges
= a + b + s
= 3 + 2s + 12 + s
= 15 + 3s
As a result, the garden's perimeter = 3+2s+12+s.
Therefore,the simpler version of the formula is 15+3s.
The variable's coefficient in the abbreviated statement is 3.
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The scatter plot shows the relationship between the mass of a tree and the total mass of the vegetation within 100 square meters of the tree.
The regression equation is given by [tex]\overline{y}=50-0.01x[/tex]
We have given that,
The scatter plot shows the relationship between the mass of a tree and the total mass of the vegetation within 100 square meters of the tree.
What is the formula for slope?The slope =change in y/change in x
We have given the two points (100,40) and (25000,2)
Therefore the slope of the given point is,
[tex]=\frac{25-40}{2500-1000} \\=-0.01[/tex]
The y-intercept is the value of y when x=0 this implies that y=50
Therefore the regression equation is given by
[tex]\overline{y}=50-0.01x[/tex]
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S
Which triangle is similar to ABC if sin(A) = cos(A)=√15, and tan(A)=√1
R
5
12
13
T
D
3
12
f
3√15
O
2
K
√15
Σ.
M
O
3
L√6 N
X
6√15
N
O
24
6
Answer: Option 4
Step-by-step explanation:
Similar triangles have congruent angles, so this means that the sines, cosines, and tangents should be the same.
Thus, the side lengths of the triangle we want to find should be multiples of [tex]1, \sqrt{15}, 4[/tex].
This eliminates options (1) and (3).Between options 2 and 4, we know that the Pythagorean theorem is not satisfied by option (2), thus we should eliminate it.
This leaves us with option (4)
Help me with this question please!! :)
Answer: 9516793/9765625
Step-by-step explanation:
We can subtract the probability none of them have been vaccinated from 1.
If 52% of people are vaccinated, then 48% of people are not vaccinated.
Thus, the probability is [tex]1-(0.48)^{5} =\frac{9516793}{9765625}[/tex]
two variables x and y have corresponding values as shown in the table below. x=2,3,a and y=20,40,104 given that y varies directly as x power 2+1 find (a) value of k (b) value of a
The value of k is 4 and the value of a is 5
How to determine the value of k?The table of values is given as:
x=2,3,a
y=20,40,104
The variation is given as:
[tex]y\ \alpha\ x^2+1[/tex]
Express as an equation
y = k(x^2 + 1)
When x = 2, y = 20.
So, we have:
[tex]20 = k(2^2 + 1)[/tex]
Evaluate the sum
20 = 5k
Divide by 5
k = 4
Hence, the value of k is 4
How to determine the value of a?In (a), we have:
y = k(x^2 + 1)
Substitute 4 for k
y = 4(x^2 + 1)
When x = a, y = 104.
So, we have:
104 = 4(a^2 + 1)
Divide by 4
26 = a^2 + 1
Subtract 1 from both sides
a^2 = 25
Take the square root
a = 5
Hence, the value of a is 5
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Sketch the graph that has an area of 0.89 under the standard normal curve and to the right of the z-score. Then find the associated z-score.
The normal distribution is also known as the Gaussian distribution. The correct option is D, while the z-score is -2.29.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Since the normal distribution is symmetrical about the mean. Therefore, 0.89 area from the left will be equal to 0.11 area from the right. Therefore, the correct option is D, while the z-score is -2.29.
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ก
3
The graphs below show measurements from cubes with
different side lengths.
Perimeter of 1 Face
24
2
10
2
40
36-
32-
8 28-
2
Side Length
Which pairs of variables have a linear relationship?
Select two options.
side length and perimeter of 1 face
perimeter of 1 face and area of 1 face
O surface area and volume
area of 1 face and surface area
Oside length and volume
The pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.
What is the Graph of a Linear Equation?The graph of a linear equation that shows a linear relationship between two variables are straight line graphs.
The graph shown is a straight line graph, therefore, it shows a linear relationship. Therefore, the pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.
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what is the general term for sequence -6;3;15;30?
Answer:
[tex] \frac{3}{2} n {}^{2} + \frac{9}{2} n - 12[/tex]
Step-by-step explanation:
This sequence is a quadratic sequence meaning that we should find the difference and the constant second difference.
The difference between the 4 terms is in the sequence:
9;12;15
The constant second difference is 3.
Use your method of finding the general term:
2a=3 3a+b=9 a+b+c=-6
a=3/2 3(3/2)+b=9 3/2+9/2+c=-6
b=9/2 c=-12
Standard form for quadratic sequence:
[tex] {an}^{2} + bn + c[/tex]
Therefore your general term is the one stated above in the answer.
Hope that helps!
x² +5-x when x = 5
Jamaymaykgajwnammagmaganhsnagm
Answer:
25
Step-by-step explanation:
you first solve for the expontes. 5 to the power of 2 is 25 plus 5 is 30. subtract 5 from that and we're back at 25
Answer:
25
Step-by-step explanation:
When we plug in 5 for x, we get 25+5-5=25.
Can someone please help me? I’ll give brainliest to the first person who gets it right
Answer:
128 degrees
Step-by-step explanation:
B = D
B = 128
Therefore, D = 128
This shape has these characteristics:
⇒ there are two sets of parallel sides
⇒ This shape is a parallelogram
Since this shape is a parallelogram:
⇒ meaning that angles opposite to each other
⇒ equal in measure
Since ∠B and ∠D are opposite each other
⇒ ∠D = 125°
Answer: ∠D = 125°
Hope that helps!
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20
Answer:
y=2x+20
Step-by-step explanation:
x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20
Hope this helps :)
Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 inches. Find the surface area. Round to the nearest tenth.
The surface area of the square pyramid will be 78.08 square inches.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.
The surface area of the square pyramid will be calculated by the formula:-
[tex]SA = P\times\dfrac{l}{2}[/tex]
[tex]SA = 25.6\times \dfrac{6.1}{2}[/tex]
SA = 78.08 square inches
Therefore the surface area of the square pyramid will be 78.08 square inches.
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A building has a height of 40 feet and a length of 20 feet. On a scale drawing of the building, the height is 20 centimeters. What is the length of the building on the scale drawing in centimeters?
Answer:
10 centimeters
Step-by-step explanation:
For the height:
40 ft / 20 cm = 2 ft / cm
With this ratio, we find the length as follows:
2 ft / cm = 20 ft / x cm
[tex]2 = \frac{20}{x} [/tex]
[tex]2x = 20[/tex]
[tex]x = 10[/tex]
Answer:
10 cm
Step-by-step explanation:
Look at the answer
PLEASE HELP
The function
shown.
Select from the drop-down menus to correctly describe the end
f (x).
behavior of
f(x) = -2(0.25) + 1is
As x decreases without bound, the graph of
Choose...
Choose...
As x increases without bound, the graph of
f (x)
‹ƒ (x)
f(x)
1 2
5
4
3
2
1
-4-3-2-11.
3
1
2 3
4 5
4
6
5 6
7 8
A rectangular garden is 15 ft longer than it is wide. Its area is 450
ft^2
. What are its dimensions?
Width equals =------
Length equals=-----
Answer:
Width= 15ft and Length= 30 ft
Step-by-step explanation:
Length=15+w
Area=450 ft square
(15+w)(w)=450
w²+15w=450
w²+15w-450=0
(w+30)(w-15)=0
w= -30, 15
width can't be negative so possible answer is 15 ft
Length = 15+15=30 ft
Here is the histogram of a data distribution. All class widths are 1.
Which of the following numbers is closest to the mean of this distribution?
A.3
B.5
C.7
D.9
E.4
The blue dot is at what value on the number line -3 -1
Answer:
It's +2
Step-by-step explanation:
As the positive occurs on the right side of the negatives in the number line so if we keep extending on the right side so we get +2
A rope is broken up into 3 pieces. The first piece is three times bigger than the second piece and the third piece is eight feet more than the first piece. How big is each piece if the sun of all pieces is 64 feet ?
why is smallest possible angle of a 36-gon 5 degrees instead of 4.72222222222?
The smallest interior angle of the given regular polygon with 36 sides is; 170°
How to find the sum of interior angles of a polygon?The formula for calculating the sum of interior angles of a regular polygon is; S = (n − 2) × 180°
where n is number of sides of the polygon
We are told that number of sides of ploygon is 36. Thus;
S = (36 - 2) × 180°
S = 6120°
Thus;
Smallest possible angle of polygon = 6120/36 = 170°
Sum of external angles of a regular polygon is;
S = 360/n
S = 360/36
S = 10°
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Alina has $20 in her account she wants to purchase a purse shoes that cost $45 if the line makes the purchase which ener will represent the amount of money in the line of the account
The line represent the amount of money in the line of the account will be x + y = 45.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has $20 in her account she wants to purchase a purse, shoes that cost $45.
If the line makes the purchase, Then the line represent the amount of money in the line of the account will be
x + y = 45
where x be the price of purse and y be the price of shoe.
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Fill in the blank. In the triangle below, y=? Round your answer to two decimal places.
Answer:
z= 38°
Step-by-step explanation:
z= 90(from right angle)+52=142
180-142=38°
hello, please help me match these!
Answer:
1)x+1
2)x-1
3)x+1,R-1
Step-by-step explanation:
please mark me as brainlest
which of the following would be an acceptable first step in simplifying the expression tan^x/1+sec^x
The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.
Which is the first step to simplifying the given expression?
Here we have the expression:
[tex]\frac{tan(x)}{1 + sec(x)}[/tex]
Remember that:
[tex]tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}[/tex]
Replacing that would be the "step zero", we can write:
[tex]\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }[/tex]
The first step to simplify this, is taking the product between the denominators:
[tex]\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}[/tex]
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Answer:
tanx(1-secx)/(1+secx)(1-secx)
Step-by-step explanation:
aP E
If the ordered pair (-5/2, y) lies on the graph of y=7-2x, find the value of y.
19/2
012
02
The correct answer is option B which is the value of Y will be 12.
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
If the ordered pair (-5/2, y) lies on the graph of y=7-2x,
The value of Y will be calculated as:-
Y = 7 - 2x
Y = 7 - 2 ( -5/2 )
Y = 7 - ( - 5 )
Y = 7 + 5
Y = 12
Therefore the correct answer is option B which is the value of Y will be 12.
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can someone please help me?!? 25 points
please write wether each one is a function or a growth rate!!!
Answer:
See below
Step-by-step explanation:
There are 52 weeks in a year, so divide t by 52
= 120 (1.016)^(t/52)
then the % for one week = 1.016^1/52 = 1.0003 = .03%
The distance AB= [?] Round to the nearest tenth.
Answer:
3.6Step-by-step explanation:A = ( -2, 1 )
B = ( 1, -1 )
[tex]\boxed{\bf x_1 : - 2}[/tex] [tex]\boxed{\bf x_2 : 1}[/tex]
[tex]\boxed{\bf y_1 : 1}[/tex] [tex]\boxed{\bf y_2 : - 1}[/tex]
______________________________
[tex]\sf d = \sqrt{(x_2 -x_1) ^{2} + ( y_2 - y_1) ^{2} } [/tex][tex]\sf d = \sqrt{(1 - ( - 2)) ^{2} + ( - 1 - 1) ^{2} } [/tex][tex]\sf d = \sqrt{ {3}^{2} + {( - 2)}^{2} } [/tex][tex]\sf d = \sqrt{(9 + 4)} [/tex][tex]\sf d = \sqrt{13} [/tex][tex]\sf d = 3.6[/tex]______________________________
The function y=(x-4)2+3 is a transformation of the function y=x2. How is the functions vertex affected by the transformation?
It is shifted 4 units right and 3 units up.
The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The function g is related to one of the parent functions g(x) = |x − 1| + 5.
Then the parent function f(x) will be
f(x) = |x|
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).
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which function has an asymptote at x=5 and an x-intercept of (6,0)?
The function is f(x) = log(x - 5).
What is Asymptotes?A line or curve that acts as the limit of another line or curve.
The complete question is
Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5
let us take,
f(x) = log(x - 5)
y = 0, then
0 = log(x-5)
x - 5 = [tex]e^{0}[/tex]
x - 5 = 1
x = 6
So, it can be conclude that the x-intercept is at (6, 0)
Hence, the function is f(x) = log(x - 5).
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How many miles per hour does a sneeze travel? 1 10 100 1000
The average speed of sneeze is about 100 miles per hour.
What is the average speed of sneeze?
The average speed of sneeze is determined from the total distance traveled by the sneeze to the total time of motion of the sneeze.
Averagely a sneeze can travel as fast as 100 miles in an hour, which is equivalent to 44.7 m/s.
Thus, the average speed of sneeze is about 100 miles per hour.
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