Answers
The formula for the area of a triangle is A = (base · height)/2, but when we look at this problem, there's no base or height!
Looking at the triangle on the right, we can use the Pythagorean Theorem to find the height:
h² + 16² = 20²
h² + 256 = 400
h² = 144
h = ± 12
In this case, the height is 12 because you can't have negatives when you are working with lengths of sides and other things like this in geometry.
So now we've found the height, but we still don't know the full base! So, we can use the height that we just found to use the Pythagorean Theorem for the left triangle!
B² + 12² = 15²
B² + 144 = 225
B² = 81
B = ±9
So once again, our answer is just 9.
But, because the base is CB, we have to add:
b = 9 + 16
b = 25.
Now we have the base and height, so we can put them into our formula to solve for the area of the triangle:
A = (25 · 12) / 2
A = 300 / 2
A = 150
Related Questions
Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The geometric mean is
Group of answer choices
5.31
5.38
4.98
3.95
Answers
The geometric mean of the numbers is 5.38
Given the values a, b, c and d
The geometric mean of the values will be expressed as:
[tex]GM = (abcd)^{1/4}[/tex]
Given the values 4, 5, 6, and 7, the geometric mean will be expressed as:
[tex]GM = (4\times5\times6\times7)^{1/4}\\[/tex]
[tex]GM = (840)^{1/4}\\GM=\sqrt[4]{840} \\GM = 5.38[/tex]
Hence the geometric mean of the numbers is 5.38.
Learn more: https://brainly.com/question/23875011
how to solve 8(y-7) in digits
Answers
Answer:
y = 7
Step-by-step explanation:
Equate the equation to equal 0.
8(y-7) = 0
Open up the bracket:
8y - 56 = 0
Add 56 to both sides:
8y = 56
Divide both sides by 8:
y = 7
look at the image for the question
Answers
Answer:
112 ft^2
Step-by-step explanation:
The volume of the rectangular prism is
V = l*w*h where l is the length, w is the width and h is the height
V = 4*4*7
V = 112 ft^2
Willing to give brainliest! Practice question I dont understand the math.
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Answers
Answer:
Step-by-step explanation:
Part A:
The interquartile range is approximately 10
Part B:
The difference between the median values for each data set is approximately 6
Part C:
i) More widely distributed and concentrated to the beginning of the month
The better measure of the center for the male dataset is the median
ii) The skewed distribution
The mean is the better measure of center for the dataset
Part D;
A possible reason for the outlier is by chance
Part A : The IQR for the male's data 25-2=23.
Part B : The difference between the median values of each data set 20-6=14
Part C : Because there are no outliers in the data, the mean would be a better estimate of center for Males.
Because the data has outliners, the meadian would be a better measure of center for females.
Part D : The females adore those particular movie stars and have a large group of pals with whom they may socialize whenever they want.
What is boxplot?A boxplot is a chart that used to represent data analysis.
How to solve boxplot?
Part A : The IQR for the male's data 25-2=23.
Part B : The difference between the median values of each data set 20-6=14
Part C : Because there are no outliers in the data, the mean would be a better estimate of center for Males.
Because the data has outliners, the meadian would be a better measure of center for females.
Part D : The females adore those particular movie stars and have a large group of pals with whom they may socialize whenever they want.
Learn more about box plots here :
https://brainly.com/question/16910781
#SPJ2
Which best describes the relationship between the line that passes through the points (8, 2) and (3,
5) and the line that passes through the points (-3,-7) and (0, -12)?
Answers
Answer:
C
Step-by-step explanation:
They are neither perpendicular nor parallel since line 1 has slope=-3/5 and line 2 has slope=-5/3. They are neither equal nor have a product equal to - 1.
Before an election, combining the results of 12,625 polls with 14,491,635 samples in total, it shows that 6,413,959 responders (44.3%) say they will vote for the first candidate and 6,134,272 responders (42.3%) say they will vote for the other candidate. Assume a binomial model Binomial(n,p) of the polls for the first and second candidates, where p is the percentage of the votes to the first candidate and n is the total number of votes to the first candidate or the second candidate. Suppose we are interested in whether the first candidate wins more than half of the votes to the first and second candidates:
H0: p = 0.5 v.s. H1: p > 0.5
(a) Compute the test statistics of the generalized likelihood ratio test. Is this test a uniformly most powerful test?
(b) Use Wilks' theorem to compute the critical value of the generalized likelihood ratio test under α = 0.05 level. Make a decision.
(c) Another test has test statistics p - po/√po(1 - po)/n, where po = 0.5. Compute the p-value of this test using the central limit theorem and make a decision. Assume the significance level α = 0.05.
(d) If the second candidate wins the election, comment on possible problems in this statistical analysis.
Answers
Answer:
C
Step-by-step explanation:
Sorry if im wrong it just looks right to me.
A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 2
minutes? Do not round your answers,
Answers
Step-by-step explanation:
The answer is mentioned above.
Hassan thinks of two different positive integers.
Their product is 147, and one number is three times the other number.
What are the two numbers Hassan is thinking of
Answers
Answer:
147
Step-by-step explanation:
The number is three times the other number
so 7 and 21
cause 7 x 3 = 21
finally check 21 x 7 = 147
a) Show that the equation 2 x + 3 cos x + e^x = 0 has a root on the
interval (-1,0)
b) Use the Bisection method to find the solution of 2 x + 3 cos x +
e^x = 0. accurate with in 10-3. On (-1,0). (Use four digits-Rounding)
Answers
a) The equation has a root in the interval (-1,0)
b) The solution of [tex]2x+3cos(x)+e^{x}=0[/tex] by using the Bisection Method is x=0.9977 accurate within [tex]10^{-3}[/tex]
a) The intermediate zero theorem (Bolzano's Theorem) tells us that whenever you have a continuous function in a given interval and the extremes of the functions on this interval have oposite signs, then there must be a zero in between those extreme values.
A formal definition of this theorem is written like this:"If a function f on the closed interval [a,b] is a continuous function and it holds that f(a)>0 and f(b)<0 or f(a)<0 and f(b)>0, then there is at least one x-value such that f(x)=0"
So basically we need to evaluate the given equation for both extremes of the interval x=-1 and x=0, if they return results opposite in sign, then there must be a zero in that interval, so let's evaluate the function for x=-1:
[tex]2x+3cos(x)+e^{x}[/tex]
[tex]2(-1)+3cos(-1)+e^{-1}=-0.0112[/tex]
Let's now test for x=0
[tex]2x+3cos(x)+e^{x}[/tex]
[tex]2(0)+3cos(0)+e^{0}=4[/tex]
So notice we ended up with two values -0.0112 and 4. One is positive and the other is negative, therefore there must be a zero in that interval.
b) The zero is located at x=-0.9977
The idea of the bisection method is to find values for x in the middle of two x-values that return opposite sign answers when evaluated on the given function. So we can start with the extremes of the given interval:
x=-1 and x=0
so we find the value in the middle by using the following formula:
[tex]mid-value=\frac{x_{1}+x_{2}}{2}[/tex]
so we get:
[tex]mid-value=\frac{-1+0}{2}[/tex]
mid-value=-0.5
Next, we evaluate the given function for that value:
[tex]2(-0.5)+3cos(-0.5)+e^{-0.5}=2.2393[/tex]
Since we got a positive answer, we now find the midpoint between -0.5 and -1 (which was the last x-value that returned a negative answer) so we get:
[tex]mid-value=\frac{-1-0.5}{2}[/tex]
mid-value=-0.75
Next, we evaluate the given function for that value:
[tex]2(-0.75)+3cos(-0.75)+e^{-0.75}=1.1674[/tex]
and we repeat the process until que get to the desired accuracy. I uploaded a table that has the corresponding iterations and its answers. There were 14 iterations done until we got to the final answer x=-0.9977.
Learn more about the intermediate zero theorem here:
https://brainly.com/question/13154408?referrer=searchResults
5/root 7 - root 3 +1/root 7+ root 3
Answers
[tex]\\ \sf\longmapsto \frac{5}{ \sqrt{7} - \sqrt{3} } + \frac{1}{ \sqrt{7} + \sqrt{3} } \\ \\ \sf\longmapsto \frac{5( \sqrt{7} + \sqrt{3} ) + 1 (\sqrt{7} - \sqrt{3} )}{( \sqrt{7} - \sqrt{3} )( \sqrt{7} + \sqrt{3} )} \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + 5 \sqrt{3} + \sqrt{7} - \sqrt{3} }{( { \sqrt{7} )}^{2} - ( \sqrt{3}) {}^{2} } \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + \sqrt{7} + 5 \sqrt{3} - \sqrt{3} }{7 - 3} \\ \\ \sf\longmapsto \frac{6 \sqrt{7} + 4 \sqrt{3} }{4} [/tex]
Question 3 (5 points)
Draw a right isosceles triangle.
Answers
Answer:
Step-by-step explanation:
Vẽ góc vuông. - Trên hai canh góc vuô dùng thước thước có chia khoảng vẽ hai đoạn thẳng bằng nhau có chung một điểm và nối hai điểm còn lại.
Find the value of x in each case:
Answers
We know
Sum of two interior angles =exterior angle
[tex]\\ \sf\longmapsto 2x+x=3x[/tex]
[tex]\\ \sf\longmapsto 3x=3x[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
what is the absolute value of |9|?
Answers
Answer:
9
Step-by-step explanation:
it's as simple as that 9 is 9 away from 0
II. Round to the nearest hundred.
11. 582
12. 1,234
13. 640
14. 770
15. 1,104 can you please tell what the answer?
Answers
Answer:
582-600
1,234-1,200
640-600
770-800
1,104-1,100
04.10 Which statement about the graph is true? CO 7 E 5 4 3 2 1 2 3 4 5 6 7 8 x The graph shows a proportional relationship because it is a line, and the difference between each point is the same. The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2. The graph does not show a proportional relationship because each point written as a ratio gives a different value. O The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.
Answers
Answer:
c
Step-by-step explanation:
cheese is rotten milk
Some plumbers charge a base rate plus an hourly rate for their services. The rates of two plumbers are shown in the table.
Base Rate Hourly Rate
Plumber A $35.00 $15.00
Plumber B $40.00 $12.00
To the nearest minute, at what amount of time does Plumber A become more expensive than Plumber B?
Answers
Plumber B - Base Rate = $40.00 and Hourly = $12.00
$35.00 + $15.00 + $15.00 = $65
$40.00 + 12.00 + $12.00 = $64
Plumber A become more expensive than Plumber B after two hours.
x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.
What is the equation?The equation is the relationship between variables and is represented as y = ax+b is an example of a polynomial equation.
Let the hours be x and the hourly rate is y.
Now the data given in the table is calibrated into the equation.
The equation for A,
y = 15x + 35 - - - - - (1)
The equation for B,
y = 12x + 40 - - - - - - (2)
Solving equations 1 and 2
15x + 35 = 12x + 40
3x = 5
x = 5/3
x = 1.67 hour
Now put it on equation 2 and equation 1
y(B) = 12 * 1.68 + 40
y (B)= $60.1
y(A) = 12 *1.68 + 35
y(A) = $60.2
Thus, x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ5
Help question 25 pleasee
Answers
Answer:
4b³ + 11b² - 6b + 13
Step-by-step explanation:
Subtract like terms.
6b³ - 2b³ = 4b³
3b² - (-8b²) = 3b² + 8b² = 11b²
0 - 6b = -6b
8 - (-5) = 13
All together, the difference is 4b³ + 11b² - 6b + 13.
1. Find 4B. B= -3 1
2 -4
-1 5
Answers
Answer:
(1,4) (2,4)(3,4)
Step-by-step explanation:
Answer and explantion?
Answers
Answer:
x = 134
Step-by-step explanation:
All right, I'm not the best at explaining these but I will try. So first these two are parallel lines (Because you can see the 2 arrows >> like this). When looking at the problem what I would first to is find the angle on the other side of 46, which is 134. Since these are parallel lines the line up there will also equal the same. So x would equal 134 and the angle on the other side will be 46. I hope that makes sense, if not you can ask me what doesn't make sense and I will try to explain it
Answer:
x = 134°
Step-by-step explanation:
x and 46° are same- side interior angles and sum to 180° , so
x + 46° = 180° ( subtract 46° from both sides )
x = 134°
Slide 1.
1) Find the area of the metal sheet below that is required
to make this square-shaped traffic sign. Show all work on
paper.
+
7x-3
Answers
Answer:
Area=49x^2+9-42x
Step-by-step explanation:
Area=(Side)^2
Area=(7x-3)^2
Area=49x^2+9-42x
-14x - 3
Step-by-step explanation:
Area = l • w
Area = 7x - 3 • 7x - 3
Area = -14x - 3
Add the first 79 terms of this sequence:
-8,-1, 6, 13, 20, ...
Answers
Answer:
Sum is 20,935.
Step-by-step explanation:
This is an arithmetic progression.
Sum:
[tex]S = \frac{n}{2} (2a + (n - 1)d) [/tex]
n is the number of terms, n = 79
S is the sum
a is the first term, a = -8
d is common difference, d = -1-(-8) = 7
substitute:
[tex]S = \frac{79}{2} (2 \times - 8 + (79 - 1) \times 7)) \\ \\ S = \frac{79}{2} ( - 16 + 546) \\ \\ S = \frac{79}{2} (530) \\ S = 20935[/tex]
The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket fence in line with the flagpole was 4 feet. What is the height of the flagpole.
Answers
Answer:
54ft
Step-by-step explanation:
if 3foot is 4ft tall
then a shadow of 72 ft will be how tall?= x
4x =3ft by 72ft
4x= 216ft
x= 216/4
×=54
URGENT!! PLEASE HELP! RUNNING OUT OF TIME!!
In which of the following expressions is the coefficient of term "x" 1?
A. 2x²+x-9
B. x²+2x+7
C. 2x²-3x+1
D. 3x²-x-5
Answers
Answer:
A. 2x²+x-9
Step-by-step explanation:
2x²+x-9 = 2x²+1x-9
What is $124,503 rounded to the nearest thousand?
Answers
Answer:
124,503 round to 125,000
Step-by-step explanation:
4 is in the thousands place
We look at the hundreds place
5 is in the hundreds place. Since 5 is 5 or greater, we round the 4 up
124,503 round to 125,000
CD Express offers 4 CDs for $60. Music Places offers 6 CDs for $75.
Answers
Answer:
Music place has a better buy
Step-by-step explanation:
CD express
60 dollars / 4 cds = 15 dollars per cd
Music places
75 dollars / 6 cds = 12.50 per cd
1. Find the volume of a rectangular block 15 cm long, 5 cm wide and 10 cm length
Answers
9514 1404 393
Answer:
750 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = LWH . . . . where L, W, H represent length, width, height
The volume is the product of the dimensions.
V = (15 cm)(5 cm)(10 cm) = 750 cm³
least to greatest -10,3,-0.5,5/16
Answers
This is the correct order
PLZ HELPPPPPPPPPPPPPPPPPPP
Answers
So : KM = 14 + 3 = 17
So KM = 17
Hope it helps! If it is, Brainliest please!
If P(x): x < |2x|. b) What is the value of ∃x P(x)?
Answers
Answer:
true
Step-by-step explanation:
because some of x if x=3 then 3<6 is true
solve for x please help!
Answers
Answer:
x = -1/4
Step-by-step explanation:
-4(-5x-3) = 7
Distribute
20x +12 = 7
Subtract 12 from each side
20x+12-12 = 7-12
20x = -5
Divide by 20
20x/20 = -5/20
x = -1/4
x = -0.25
Step-by-step explanation:
-4(-5x - 3) = 7
Step 1. Multiply -4 by the numbers in parentheses (negative number x negative number = positive number)
20x + 12 = 7
Step 2. Subtract 12 from both sides
20x = -5
Step 3. Isolate the variable
x = -5/20
x = -0.25
••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!
