Answer: 16 centimeters
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 256
b = [tex]\sqrt{256}[/tex]
b = 16
The length of the other leg is 16 centimeters.
Answer:
The other leg is 16 cm long.
Explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex],
where:
[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).
Let [tex]a=12[/tex] [tex]cm[/tex]
Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.
[tex]b^2=c^2-a^2[/tex]
[tex]b2=(20 cm)^2-(12 cm)^2[/tex]
Simplify.
[tex]b^2=400 cm^2-144cm^2[/tex]
[tex]b^2=256 cm^2[/tex]
Take the square root of both sides.
[tex]b=\sqrt{256cm^2}[/tex]
Simplify.
[tex]b=16[/tex] [tex]cm[/tex]
Find x, rounding to the nearest tenth (one decimal place)
Answer:
x= 27.5
Step-by-step explanation:
What is the value of x?
Horizontal stadia sights. Determine the error in distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight
The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
Tan(θ) = Perpendicular/Base
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as
tan(θ)=0.14/3
θ = 2.672°
Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,
tanθ=x/1.75
x = 1.75 tan(θ)
x = 1.75 × tan(2.672°)
x = 0.08167 m = 8.167 cm
Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.
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please simplify the answer
Answer:
[tex] 56\: in^2[/tex]
Step-by-step explanation:
Surface area of the net = 4* Area of one triangle + Area of square[tex] = 4*\frac{1}{2}*4*5 + (4)^2[/tex][tex] = 40 + 16[/tex][tex] = 56\: in^2[/tex]Find the 24th term of the sequence:
11, 16, 21, . . .
Answer:
126
Step-by-step explanation:
The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).
So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5 x 1 [time])
To get from the first term (11) to third (21), we had to add 5 twice
(or, add 5 x2)
*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.
So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23
5 x 23 = 115
11 + 115 = 126
Making 126 the 24th term of the sequence
Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.
Does her survey comprise an accurate representation of the Reach student body? Why or why not?
Answer:
no because it just reaches one class, not the student body
Step-by-step explanation:
Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
What is the slope of the line that passes through (-2, 7) and (4, 9)
Answer: The slope is 1/3
Step-by-step explanation:
m = y2-y1/x2-x1
m =9-7/4+2
m=2/6
m=1/3
Answer:
The slope is 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
m=9-7/4-(-2)
m=2/6
m=1/3
could someone pleasee help me will give brainliest
The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.
f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which could be the function represented by this graph?Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).The other option that also contains these 3 points is:
f(x) = |-x| + 2
f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
f(x) = |x| + 2f(x) = |-x| + 2If you want to learn more about absolute value functions:
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Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
a. 4
b 5
c 8
d 9
Answer:
9
Step-by-step explanation:
Answer:
4 large folders ( and 8 small folders....with $ 1 left over)
Step-by-step explanation:
x = small y = large folders
x+y >= 12 x >= 12-y
3x + 5y <= 45
3 (12-y) + 5y <=45
36 -3y + 5y <= 45
y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders
Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,
∠COD = ∠AOB
x + 2y = 50
x = 50 - 2y
Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,
∠BOC + ∠COD = 180°
x - 2y + x + 2y = 180
2x = 180°
x = 90°
Substitue the value of x,
x + 2y = 50
90 + 2y = 50
2y = -40
y = -20
The difference in the value of x and y is,
Difference = 90 - (-20) = 110
Hence, the value of x is 110 more than the value of y.
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28.4.2 Test (CST): Transformations, Congruence, and Similarities, Part 2
Quadrilateral RUST has a vertex at R (1,5).
T
S
What are the coordinates of R'after the translation (x, y) → (x+1, y-1),
Answer:
R'(2,4)
Step-by-step explanation:
When doing translations you subtract or add within the coordinates like a normal problem.
If it helps you, write it as seperate equations like:
1-1 and 5-1
Hope that helps ✓
Given a line with slope = −6and passing through (−5,−9) , which of the following is the correct point-slope equation of the line? y−9=−6(x−5
The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)
Equation of a lineThe equation of a line in pint slope form is expressed as:
y - y1 = m(x-x1)
where
m is the slope = -6
(x1, y1) is the point = (-5, -9 )
Substitute into the formula
y - (-9) = -6(x -(-5))
y +9 = -6(x+5)
Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)
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Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles
Answer:
Ans : A. Straight angle
Step-by-step explanation:
Brainliest me pls
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Brain
any help is great find the missing length?
Answer:
3Step-by-step explanation:
Similar = proportional
solve with an equation
12 : 9 = 4 : x
x = 4 * 9 : 12
x = 3
3+x=7 what is x .........................
Answer:
4
Step-by-step explanation:
x = 7 - 3
x = 4
Answer:
x = 4
Step-by-step explanation:
3+x = 7
Subtract 3 from each side
3+x-3 = 7-3
x = 4
The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)
Answer:
3,1
....................................
A beverage company produces cans of lemonade. According to the label a can contains a volume of 375mL of lemonade. A consumer group tested this claim by measuring the volume of lemonade in 2,500 cans. They found that the volume was normally distributed with a standard deviation of 5mL and a mean of 372mL.
If a can is chosen at random, find:
P (its volume is ≥382mL)
The probability that the volume of a can chosen at random is ≥382 is 0.47725
Normal distribution probabilityProbability is the likelihood or chance that an event will occur. For the given question, we need to calculate the z value as shown;
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Given the following parameters
[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]
Substitute
[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]
In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)
z≥2 according to probability table is equivalent to 0.47725
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Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?
Answer:
55%
Step-by-step explanation:
(33/60) * 100
leave a comment if u need further explanation
If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?
There are 11 elements are in (A U B)
How to determine the number of elements?The given parameters are:
n(A) = 4
n(B) = 7
The number of elements in (A U B) is calculated using:
n(A U B) = n(A) +n(B) - n(A U B)
Given that the sets have distincts elements, we have:
n(A U B) = 4 + 7 - 0
Evaluate
n(A U B) = 11
Hence, there are 11 elements are in (A U B)
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Answer: There are 11 elements are in (A U B)
Step-by-step explanation:
A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.
I predict that the solid with the greater surface area to volume ratio would be the cube.
The volume of the cube is 27in³
The surface area of the cube is
The ratio of surface area to volume for the cube is 2.
The volume of the sphere is 113.14 in³
The surface area of the sphere is 113.14 in²
The ratio of surface area to volume is 1.
What is the surface area and volume of each solid?The volume of a cube = side length³
3³ = 27 in³
The surface area of a cube = 6a²
a = side length
6 x (3²) = 54 inches²
Ratio of surface area to volume = 54 / 27 = 2
The volume of the sphere= 4/3πr³
4/3 x 22/7 x 3³ = 113.14 in³
The surface area of the sphere = 4πr²
4 x 22/7 x 3² = 113.14 in²
Ratio of surface area to volume = 113.14 / 113.14 = 1
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The cylinder in a sphere have the same radius for the height of the cylinder is equal to the diameter of the spear select the expression that describes the volume of the cylinder that is not occupied by the sphere
The volume of the cylinder that is not occupied by the sphere is 2πr³/3
Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.
What is volume of a cylinder?The volume of a cylinder is given by V '= πr²h where
r = radius of cylinder and h = height of cylinder.Since the height of the cylinder equals the diameter of the sphere, h = 2r
So, V' = πr²h
V' = πr² × 2r
V' = 2πr³
What is volume of sphere?
The volume of a sphere of radius r is given by V = 4πr³/3
Volume of cylinder not occupied by sphere
The volume of the cylinder not occupied by the sphere is V" = V' - V
= 2πr³ - 4πr³/3
= (6πr³ - 4πr³)/3
= 2πr³/3
So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3
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Kenji is using walnuts to bake muffins and granola for his restaurant. each batch of muffins
1
pound of walnuts. he needs 2 pounds of walnuts to make granola. kenji can use up
2
to 8 pounds of walnuts and still have enough for baking tomorrow.
uses
let b represent the number of batches of muffins kenji makes.
write an inequality that represents the situation.
Answer:
Step-by-step explanation:
1/2b + 2 ≤ 8
b ≤ 12
Answer:
Step-by-step explanation:
annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an extra 40% . annie now has 63 sweets. how many did she have originally
Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
Initially, she had n sweets.With the ones she got from Teddy, the amount became 1.5n.With the amount from Rosie, the amount became 1.4 x 1.5 x n.The final amount was of 63, hence:
1.4 x 1.5 x n = 63
n = 63/(1.4 x 1.5)
n = 30.
Annie had 30 sweets originally.
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Identify the expressions for which limits exist.
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
4x what = 364
please put the calculation
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
Find the third, fourth, and tenth terms of the sequence describe by the rule below
A(n)=3+(n-1)(-2)
Please help ASAP, I need to get this done by midnight...
The third term, fourth term and tenth term are -1, -3, -15 respectively.
What is a sequence?A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.
Analysis:
For a sequence defined by the rule A(n) = 3 + (n-1)(-2)
Third term, n = 3
A(3) = 3 + (3-1)(-2) = -1
Fourth term, n = 4
A(4) = 3 + (4-1)(-2) = -3
Tenth term, n = 10
A(10) = 3 + (10-1)(-2) = -15
In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.
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Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128
The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
Limit of a functionGiven the following limit of a function expressed as;
[tex]\lim_{x \to 0} f(x)=4[/tex]
We are to determine the value of the function
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]
This can also be expressed as
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]
Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
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