Answer:
3/2
Step-by-step explanation:
Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio
s : 2s : sroot3
The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3
In this diagram the short leg is (root3)/2 .
(root3)/2 × root3 = 3/2
See image.
Each of the four sets a1, a2, a3, and a4 contains four elements. the intersection of every i of these four sets (2 < i < 4) consisters of 5 - i elements. What is a1 U a2 U a3 U a4?
Answer:
the new year was patrick's year and the second time she had the target audience in her career as an 34696468 )/684₩¥€=÷×+)^^*,?^&££)ktuioon
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
Learn more about diameter here:
https://brainly.com/question/28162977
#SPJ1
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
Learn more about probability here:
https://brainly.com/question/23417919
#SPJ8
simplify (7x +2) 3 +8x
Write the algebraic expression that matches each graph.
Answer:
f(x) = |x - 2| - 2
Step-by-step explanation:
Based on the shape of the graph, it's an absolute value function.
so the template for it is f(x) = |x|
From there, you can make some additions to show how much the graph has shifted from the template equation
since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:
f(x) = |x - 2| - 2
Please help me with this
Dean has 6 2 5 cups of yogurt. If it takes 4 5 cup of yogurt to make a fruit smoothie, how many smoothies can he make? Dean can make smoothies.
Answer:
8
Step-by-step explanation:
Sorry no one answered your question!
If dean has 6 2 5 cups of yogurt and it takes 4 5 the following answer would be 8!!!
Answer: 8 smoothies
Step-by-step explanation:
(Giving brainliest)
Solve five ninths plus four sixths.
A) sixty six fifty fourths
B) ten fifteenths
C) thirty ninths
Answer:
C
Step-by-step explanation:
Consider the function f(x) = 3.x2 + 7x + 2.
what is the value of the discriminat?
Answer:
The Discriminant is 25
Step-by-step explanation:
For this case, the discriminant will be given by
b ^ 2 - 4 * a * c
Where
b = 7
a = 3
c = 2
substituting
b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
Therefore the value of the discriminant is 25.
How many x-intercepts does this function have?
It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
3x2 + 7x + 2 = 0
The results will be the interceptions with x.
What are the number of zeros for this function?
The number of zeros for this function is
two real number solutions
Because it is a quadratic function.
f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
Learn more about Factor here:
https://brainly.com/question/30612677
#SPJ1
4. What is the mean absolute deviation of the data below to the nearest hundredths?
(13, 16, 16, 17, 20, 20, 20, 21, 22)
Answer:
Exact form: 2.5185185185185
Simplified form: 2.52
Fraction form: 63/25
Step-by-step explanation:
There is a mother-daughter tea that will be attended by 20 mother-daughter pairs, including the hosts. The rules of conduct are very strict; the host mother-daughter will greet everyone, all the guest mothers will greet everyone, and all the guest daughters will greet all the mothers only. How many greetings will there be?
In total, the number of greetings will be 1159.
Why do you use the term "numbers"?Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.
The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.
The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.
The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.
In total, the number of greetings will be 38 + 760 + 361 = 1159.
To know more about numbers visit:
https://brainly.com/question/26856218
#SPJ1
The photo shows a small coin. The scale from the actual coin to the photo is 8mm to 2cm. In the photo, the distance across the coin is 3.25cm. What is the distance across the actual coin?
Answer: 81.25mm or 8.125cm
Step-by-step explanation:
Numerator is actual size, denominator is the size in picture
A survey of 400 non-fatal accidents revealed that 268 involved a distracted driver using some kind of electronic device. Construct a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device.
A 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%
The 95% confidence interval for the proportion is expressed according to the formula;
\(CI=p\pm z\sqrt{\frac{p(1-p)}{n} }\)
p is the proportion = 268/400 = 0.67
z is the 95% z-score = 1.96
n is the sample space = 400
Substitute the given parameters into the formula to have:
\(CI=0.67\pm 1.96\sqrt{\frac{0.67(1-0.67)}{400} }\\CI=0.67\pm 1.96\sqrt{\frac{0.67(0.33)}{400} }\\CI=0.67\pm 1.96(0.0235)\\CI=0.67 \pm 0.0461\\CI=(0.67-0.0461, 0.67+0.0461)\\CI=(0.624, 0.7161)\\CI = (62.4 \%, 71.61 \%)\)
Hence a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%
Learn more on confidence interval here: https://brainly.com/question/17212516
5days a week 4 hours a day at $10.00 a day =?
What is the solution to the equation 4+ 5 = 3-1t+5
O x = -1, x = 11
O x= -1
O x= 11
O no solution
Answer:
x = -1
Step-by-step explanation:
Solution :
4+5=3-1t+5
⇒t+1=0
⇒t= -1
if a1= 9 and =-3a n-1 then find the value of a5
If a₁ = 9 and sequence aₙ = -3aₙ₋₁ , then the value of a₅ is approximately equal to 729.
To find the value of a₅, we need to use the recursive formula provided, which relates each term in the sequence to the previous one. The formula given is a bit unusual, as it defines each term in terms of the negative three times the previous term. However, we can use this information to work out the value of a₅.
Starting with a₁ = 9, we can use the recursive formula to find the next few terms of the sequence:
a₂ = -3a₁ = -3(9) = -27
a₃ = -3a₂ = -3(-27) = 81
a₄ = -3a₃ = -3(81) = -243
a₅ = -3a₄ = -3(-243) = 729
Therefore, the value of a₅ is 729. We can check that this is correct by verifying that it satisfies the given recursive formula:
a₄ = -3a₃ = -3(81) = -243
a₅ = -3a₄ = -3(-243) = 729
This confirms that our solution is correct.
To learn more about recursive sequence click on,
https://brainly.com/question/23751049
#SPJ1
What is the total surface area
Answer:
Step-by-step explanation:
HELP MEH PLZ! THIS IS DUE TODAY! 1ST GETS BRAINILIEST!
What was the significance and lasting impact of Hammurabi’s Code?
EXPLAIN
Known today as the Code of Hammurabi, the 282 laws are one of the earliest and more complete written legal codes from ancient times. The codes have served as a model for establishing justice in other cultures and are believed to have influenced laws established by Hebrew scribes, including those in the Book of Exodus.
Answer:
The Hammurabi Code is significant because it is one of the earliest complete written legal law codes that were used in the ancient times. The lasting impact is that the Hammurabi Code helped established the idea of legal laws and rules that will help shape society for the greater good. Also they helped served as a model for what laws we have and will continue to have.
Help me !!!
Please I really need it
Answer:
i don't know
Step-by-step explanation:
integers -50-3-(-8) please answer correctly
Answer:
-45
Step-by-step explanation:
Because 2 negatives become a positive:
-50-3 + 8 =
-53 + 8 =
-45
12 in.
10 in.
2 in.
7 in.
21 in.
What’s the volume
The required volume of the given rectangular prism is given as 240 in ³.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in
The volume of the rectangular prism = length × width × height
= 12 × 2 × 10
= 240 in ³
Thus, the required volume of the given rectangular prism is given as 240 in ³.
Learn more about Volume here:
https://brainly.com/question/12798956
#SPJ9
The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "
Translate the verbal description to a mathematical expression: the product of a number and twelve.
need help asap
could someone help me with this and show work?
The volume of the shape is 490cm³
What is volume of prisms?A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.
The base of this prism is rectangular. The volume of a prism is expressed as;
V = base area × height
base area = 7 × 10 = 70cm²
height = 7cm
the volume of the shape = 70× 7 = 490cm²
therefore the volume of the shape is 490cm³.
learn more about volume of prisms from
https://brainly.com/question/23766958
#SPJ1
Plssss help
Answer with one of these answers by looking at the photo PLSS try to get correct
(a) and (b)
Neither
Only (a)
Only (b)
Answer:
a
Step-by-step explanation:
because all top numbers can go into bottom numbers.
At one gas station, gas costs $2.75 per gallon. Write an equation that relates total cost, C, to the number of gallons of gas purchased
The total cost would be found by Multiplying the price per gallon by number of gallons bought
total cost (C) = $2.75g
Given: cos a = -3/5, sin b = 5/13, and a and b are second-quadrant angles; find sin(a - b).
63/65
-33/65
33/65
Answer:
63/65
Step-by-step explanation:
Recall that sin(a-b) = sin(a)cos(b) - cos(a)sin(b)
Therefore, we have:
sin(a-b) = sin(a)cos(b) - (-3/5)(5/13)
sin(a-b) = sin(a)cos(b) + 3/13
Since sin(x) = opposite/hypotenuse and cos(x) = adjacent/hypotenuse, then if cos(a) = -3/5, sin(a) = 4/5. Likewise, if sin(b) = 5/13, then cos(b) = 12/13.
Therefore, sin(a-b) = (4/5)(12/13) + 3/13 = 48/65 + 3/13 = 48/65 + 15/65 = 63/65
combine like terms to find the answer.
Answer: 9m + 5y + 1
Step-by-step explanation:
3 + 6m + -2y - 2 + 3m + 7y
3 + -2 = 1
1 + 6m + -2y + 3m + 7y
-2y + 7y = 5y
1 + 6m + 5y + 3m
6m + 3m = 9m
9m + 5y + 1
Answer:
1+9m+5y
Step-by-step explanation:
Given a2 = 7 and a5 = −56 of a geometric sequence, what is the recursive equation for the nth term? a an = 2(an − 1), a1 = 3.5 b an = 2(an − 1), a1 = −3.5 c an = −2(an − 1), a1 = 3.5 d an = −2(an − 1), a1 = −3.5
Answer: an=-2(an-1), a1=3.5
Step-by-step explanation: took the quiz and got it right
An = -3.5(-2)ⁿ⁻¹ and -3.5 are the Nth and first terms of the above sequence, respectively.
What is Geometric sequence?Every term in a geometric series is obtained by multiplying the term before it by the same number. Aₙ = a₁ rⁿ⁻¹ is the general phrase for it. The common ratio is denoted by the number r.
Given a₂ = 7 and a₅ = −56 for a geometric sequence.
From the general formula of geometric sequence's nth term
Aₙ = a₁ rⁿ⁻¹
Thus
A₂ = 7 = a₁ r²⁻¹ = a₁ r
A₅ = -56 = a₁ r⁵⁻¹ = a₁ r⁴
comparing both equations
A₂/ A₅ = a₁ r / a₁ r⁴
=> -7/56 = 1/r³
=> r³ = -8
=> r = -2
putting this value of r in equation 1
a₁ = -7/2
Hence, for the nth term of the sequence
Aₙ = -7/2(-2)ⁿ⁻¹
Therefore, the Nth term and the first term of the given sequence are Aₙ = -3.5(-2)ⁿ⁻¹ and -3.5 respectively.
Learn more about geometric sequence here:
https://brainly.com/question/3985139
#SPJ2
Cual es el perímetro de un rectángulo si tiene 20 de largo y 11 de ancho?
The perimeter of the rectangle is 62 square units.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be calculated using the formula:
P = 2(L + W)
Where:
L is the length of the rectangle
W is the width of the rectangle
We have:
L = 20 units
W = 11 units
Substituting into the formula:
P = 2(20 + 11)
P = 2(31)
P = 62 square units
Learn more about perimeter of rectangle on:
https://brainly.com/question/19819849
#SPJ1
Question in English
What is the perimeter of a rectangle if it is 20 long and 11 wide?