Answer:
x = 60°
y = 60°
Step-by-step explanation:
It's an equilateral triangle, all angles are congruent.
HELP IM IN K12 AND THERS MORE OF THESE
What fraction could be between 3/4 and 5/6 ? HOW do you know ?
Answer:
4/5
Step-by-step explanation:
3/4=0.75
5/6=0.83
4/5=0.8
Answer:
Step-by-step explanation:
There actually is an infinite number of fractions between 3/4 and 5/6. But to find a simple ones make the denominators the same.
(3/4)(6/6) and (5/6)(4/4)
18/24 and 20/24 so 19/24 is halfway between them.
Least common demonstrator of 2/3 and 1/4
Answer:
12
Step-by-step explanation:
Least common multiples of 3, 6, 9, 12,
Least common multiples of 4, 8, 12
If you want me to work out the equation comment under my answer
Hope this helps
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The length of a rectangle is (x+1) cm, and its width is 5 cm less than its length.
a) Express the area of the rectangle, A cm^2 , in terms of x.
b) The area of the rectangle is 24 cm^2. Calculate the length and width of the rectangle.
Answer:
a) x^2-3x-4(you also can express it as (x+1)(x-4))
b)The length is 8 cm, the width is 3 cm
Step-by-step explanation:
a) The length is x+1
The width is (x+1-5)= x-4
The area is the product of the length and the width
(x+1)(x-4)= x^2-3x-4
b) The formula for counting the area is x^2-3x-4
It is equal to 24
S0 x^2-3x-4=24
x^2-3x-28=0
a=1 b=-3 c=-28
D= b^2-4ac= 3^2-4*(-28)= 9+112= 121
sqrtD= 11
x1= (-b-sqrtD)/2a=(3-11)/2=-4 The length is -4+1=-3<0, but the length must be positive, this root isn't suitable.
x2= (-b+sqrtD)/2a=(3+11)/2=7 The length is 7+1=8 (it is suitable)
8-5=3 - The width
The sum of the lengths of is 24.62 cm. The length of is 3 cm and the length of is 17.8 cm. What is the length of and what kind of triangle is this?
A. 3.82 cm; scalene
B. 3.82 cm; isosceles
C. 3.92 cm; scalene
D. 3.92 cm; isosceles
Answer:
\(the \: third \: length \: \\ 24.62 - 3 - 17.8 = 3.82 \\ \\ because \\ \: 17.8 > 3 + 3.82 \\ it \: is \: scalene\)
Scalene Triangle
A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.
Isosceles Triangle
In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.
Answer:
B. 3.82 cm; isosceles
Step-by-step explanation:
Other persons answer but simplified.
A sequence of transformations map ABC to A’B’C. The sequence of transformations that maps ABC to A’B’C is a reflection across the _ followed by a translation _
The sequence of transformations that maps ABC to A’B’C is a reflection across the line y = x followed by a translation of 10 units right and 4 units up.
How to obtain the transformations?The equivalent vertices C and C' are given as follows:
C(-4, 2).C'(12,0).Considering the change in the orientation of the figure, it was reflected over the line y = x, for which the rule is given as follows:
(x,y) -> (y,x).
Hence:
(-4,2) -> (2,-4)
To go from (2,-4) to (12,0), the translation rule is given as follows:
(x,y) -> (x + 10, y + 4)
Hence the translation is defined as follows:
10 units right and 4 units up.
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The area of a rectangle is 125 square yards. If the perimeter is 60 yards, find the length and width of the rectangle.
Answer:
25 yards long, 5 yards wide
Step-by-step explanation:
The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.
SetupThe length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:
A = LW ⇒ 125 = xy
P = 2(L+W) ⇒ 60 = 2(x +y)
Using the second equation to write an expression for y, we have ...
y = 30 -x
Substituting into the first equation gives ...
125 = x(30 -x)
SolutionThis suggests we can find x by looking for factors of 125 that total 30.
125 = 1(125) = 5(25)
Factor totals are 126 and 30. This means we have ...
x = 5, y = 30-5 = 25
or
x = 25, y = 30 -25 = 5
The rectangle dimensions are 5 yards by 25 yards.
__
Additional comment
The two equations can also be solved graphically, as in the attachment.
The rectangle will be 25 yards long, and 5 yards wide.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.
The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:
A = LW ⇒ 125 = xy
P = 2(L+W) ⇒ 60 = 2(x +y)
Using the second equation to write an expression for y, we have ...
y = 30 -x
Substituting into the first equation gives ...
125 = x(30 -x)
This suggests we can find x by looking for factors of 125 that total 30.
125 = 1(125) = 5(25)
Factor totals are 126 and 30. This means we have.
x = 5, y = 30-5 = 25
x = 25, y = 30 -25 = 5
Therefore, the rectangle will be 25 yards long, and 5 yards wide.
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What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
There are 5 rows of chairs with c chair in each row. Choose the expression that shows the number of chairs in total
Answer:
5(c)
Step-by-step explanation:
The number of chairs are being multiplying by each row.
If you need more help here's info.
Long multiplication is a method of multiplying two numbers which are difficult to multiply easily.
For example, we can easily find the product of 55 × 20 by multiplying 55 by 2 and then adding a 0 at the rightmost place of the answer.
55 × 2 = 110 and 55 × 20 = 1100.
But, many a time finding the product is not this easy. At such times we use the long method of multiplication.
Steps to multiply using Long Multiplication
Multiplying 2-Digit by 2-Digit Numbers
Let us multiply 47 by 63 using the long multiplication method.
1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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3. To make sure the sweater she is knitting will be the right size, Gale knits a sample that is 2 inches long. She knits a second sample that is 14 times as long as the first sample. How many inches long is the second sample?
please help, will mark u brainliest plz plz plz
Hello and good day.
For this question you will use multiplication.
We know that the first same is 2 inches long and the second sample is 14 times long as the first sample.
When some thing says times, it uses multiplication, especially when mentioned in word problems.
So 14 times 2 = 28.
The answer is: The second sample is 28 inches.
28
14x2=28 bro get this right >:P
To find the number in a square, multiply the numbers in the two circles connected to it. Fill in the missing numbers.
The details of the relationship between the numbers is a word problem that can be used to find the values in the other missing values as presented in the attached drawing .
What is a word problem?A word problem is a presentation of a mathematical question using verbal statements.
Please find attached the possible diagram in the question obtained from a similar question posted online
The value in the square is -6
The value in the circle to the top right of the square = -3
Therefore;
The value in the circle in the bottom left corner (in the triangular arrangement) of the square = -6 ÷ -3 = 2The value in the circle to the right of the square with 12 is therefore found by dividing 12 by the value of the circle to the left of 12 as follows;
12 ÷ 2 = 6
The value in the circle to the right of the square containing 12 is 6The value in the blank square is the product of the values in the two circles (The circle at the top (-3) and the circle at the bottom right (6) of the triangle) as follows;
Value in the square left blank = -3 × 6 = -18The figure completed with the missing values in the circles and squares are presented in the attached drawing created with MS Word
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9 * (-3/5) ^5
evaluate
pls help :)
Answer:
\( - \frac{2187}{3125} \)
Step-by-step explanation:
\(9 \times ( \frac{ - 3}{5} )^{5} \)
\(( \frac{ - 3}{5} {)}^{5} = \frac{( - 3 {)}^{5} }{ {5}^{5} } \)
\( \frac{ - 243}{ {5}^{5} } = - \frac{ 243}{3125} \)
\( - 9 \times ( - \frac{243}{3125} )\)
\( = - \frac{2187}{3125} \)
Using the simplified expression you wrote in part C, explain what it means to have 20% more of a given quantity??
Answer:
The expression shows that increasing a quantity by 20% is the same as multiplying the quantity by 1.2.
Step-by-step explanati
The Empire State Building is 1250 feet tall. Brock makes a scale model of the building at 1:250 of its actual size. How tall is the model?
Answer:
5 feet
Step-by-step explanation:
This is because we know that the ratio of his building to the empire state building is 1:250, and this ratio is equal to 5:1250, so we know that his model is 5 feet.
Answer:
1.3ft
Step-by-step explanation:
1;250 rounded is 1.3
NO LINKS!!!
answer all 3!!!!
easy brainliest!!
Answer:
Step-by-step explanation:
1) DE = 6/sin63 = 6.7
DF = 6/tan63 = 3.1
m∠E = 180 - 90 - 63 = 27°
2) tan30 = 1/√3 = UV / (27√10)
UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30
3) cosV = 3/8
cos⁻¹(3/8) = 68
m∠V = 68°
An observer O spots a plane flying at a 55 degree angle to his horizontal
Answer:
Step-by-step explanation:
If the observer O spots a plane flying at a 55-degree angle to his horizontal, it means that the plane's flight path is inclined at an angle of 55 degrees with respect to the observer's line of sight on the ground. In other words, the plane is neither flying directly above O nor parallel to the ground. Instead, it is ascending or descending at an angle of 55 degrees relative to the observer's horizontal line of sight.
This angle is measured from the observer's line of sight on the ground, and it does not provide information about the plane's altitude or distance from the observer. To determine these factors, additional information, such as the plane's size, sound, or other reference points, would be necessary.
a random sample of n people selected from a large population will be asked whether they have read a novel in the past year. let the random variable r represent the number of people from the sample who answer yes. the variance of random variable r is 6. assume the responses are independent of each other. if the proportion of people from the population who read a novel in the past year is 0.40, which of the following is the best interpretation of random variable r ?
If the proportion of people from the population who read a novel in the past year is 0.40, then a binomial variable with 25 independent trials is the best interpretation of random variable R. So the option 2 is correct.
If the proportion of people from the population who read a novel in the past year is 0.40, then we have define which of the following is the best interpretation of random variable R.
The variance of random variable R is 6.
The variance of binomial distribution is:
var = np(1-p)
n = number of trials
p = the probability
6 = n × 0.40 × (1-0.40)
6 = n × 0.40 × 0.60
6 = n × 0.24
Divide by 0.24 on both side, we get
n = 25
The number of binomial trails is 25.
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The complete question is:
A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let the random variable R represent the number of people from the sample who answer yes. The variance of random variable R is 6. Assume the responses are independent of each other. If the proportion of people from the population who read a novel in the past year is 0.40, which of the following is the best interpretation of random variable R ?
1. A binomial variable with 15 independent trials
2. A binomial variable with 25 independent trials
3. A variable that is not binomial with 25 independent trials
4. A binomial variable with 40 independent trials
5. A variable that is not binomial with 40 independent trials
Video game:$64.50, 8% markup
Answer:
Step-by-step explanation:
2x+7=10 solve x simplify your answer
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2x+7=10 (subtract 7 from both sides)
2x=10-7
2x=3 (divide both sides by 2)
X=3/2
Simplify
X= 1.5 or 1 1/2
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answer: {x | x = –4, –1, 3, 5, 6}
Step-by-step explanation:
The domain is the set of x values, which is 3, 6, -1, 5, and -4 in this case.
Answer:
{x | x = –4, –1, 3, 5, 6} its a
Step-by-step explanation:
hope this helps
A total of 50 randomized samples were assigned into 5 different treatment groups in a pharmaceutical science experiment. Each group includes 10 persons (subjects). In order to test if any difference is discernible among these 5 treatments, one-way ANOVA was conducted for the study. Here are data we calculated: Sum of square between group = 232. Sum of square within group = 400.Subject Treatment 1 Treatment 2 Treatment 3 Treatment 4 Treatment 51 2
---
10ANOVA Summary Table
Source Sum of Square Degree of freedom Mean Square F
Between 232
Within 400
Totala. State null hypothesis and alternative hypothesis. b. Calculate the degree of freedom between group, and the degree of freedom within group. c. Mean squares between groups. d. Mean squares within groups.e. F ratiof. If critical value of F is 2.61, should we reject or accept the null hypothesis?g. State your conclusion for this research.
The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments
How to calculate the valuesDegree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45
Mean squares between groups is calculated as follows:
Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58
Mean squares within groups is calculated as follows:
Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places
F ratio is calculated as follows:
F= Mean squares between groups/Mean squares within groups
= 58/8.89
= 6.524184477
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emisphere is placed on top of a cylinder with the same radius. The heig sed in.
When given this kind of composite figures, what we have to do is split it into individual figures. In this case, we would have a cylinder and half a sphere.
For the cylinder:
Remember that the formula for the volume of a cylinder is:
\(V_c=\pi r^2h\)Where r is the radius of the base and h is the height of the cylinder.
Using this and the data given, we get that:
\(V_c=\pi(3^2)(10)\rightarrow V_c=282.74\)The volume of the cyllinder is 282.74 cubic inches.
For the semisphere:
Remember that the formula for the volume of a sphere is:
\(V=\frac{4}{3}\pi r^3\)Now, notice that we have half a sphere, so the formula we'll use is:
\(V_s=\frac{4}{6}\pi r^3\)This way,
\(V_s=\frac{4}{6}\pi(3^3)\rightarrow V_s=56.55\)Adding up both volumes,
\(282.74+56.55=339.29\)This way, the volume of the composite figure, rounded to the nearest hundredth is 336.29 cubic inches
What is the value of i4?
Answer:
1
Step-by-step explanation:
You want to know the value of i^4.
Powers of iThe fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.
i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1
The fourth power of i is 1.
__
Additional comment
As you can see from the evaluation process, ...
i¹ = i
i² = -1 . . . . . definition of i
i³ = -i
i⁴ = 1
The sequence repeats for higher powers.
A caterer charges a $40 fee plus an additional $6.25 per person. She determines the total cost, C, for x people by using the equation shown above. How much will a party cost for 80 people?
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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6 minutes 20 seconds into seconds.
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
I BEG FOR HELP :(
What is the solution to the following system of equations?
[x + y = 5
[x - y = 1
○ (-2, 7)
○ (2, 3)
○ (3, 2)
○ (7, -2)
Answer:
(3, 2)
Step-by-step explanation:
I will solve using the elimination method
x + y = 5
- (x - y = 1)
---------------
2y = 4
y = 2
plug y = 2 into any equation and solve for x
x + 2 = 5
x = 3
(3, 2)