Answer:
x = 65
Step-by-step explanation:
if two triangles are similar then we can use the similarity ratio to find the length of CH
60/156 = x/169 cross multiply expressions
156x = 10140 divide both sides by 156
x = 65
The path earth follows around the sun is earth's ___
A translação é o movimento que a Terra realiza em torno do Sol, sendo que ela demora 365 dias, 5 horas e 48 minutos para completá-lo. Esse movimento é o responsável direto pela existência das estações do ano. Como o eixo de inclinação do nosso planeta é de 23º27', há períodos em que os dias são maiores que as noites (solstícios de verão), períodos em que as noites são maiores que os dias (solstícios de inverno) e períodos em que eles possuem a mesma duração (equinócios de primavera e outono).
ACTIVITY
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Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
What is the exponent for x when the radical 18 is simplified completely?
Answer:
x⁶
Step-by-step explanation:
[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]
Which point is a solution to the inequality?
O (-2, 1)
0 (-1,1)
0 (0, 1/2)
0 (3, 1/2)
Option D is correct, (3, 1/2) point is a solution to the inequality y <1/3x+1/2.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given expression is y < 1/3x+1/2
y less than one divided by three times of x plus one divided by two.
Now let us check by plugging each ordered pair.
Now plug in (-2, 1)
1<1/3(-2)+1/2
1<-2/3+1/2
1<-4+3/6
Is false.
Now plug in (-1, 1)
1<-1/3+1/2
Is false.
Now plug in (0, 1/2)
1/2 < 1/2
is false.
Now plug in (3, 1/2)
1/2 < 3(1/3) + 1/2
1/2 < 1 + 1/2 is true.
Hence, (3, 1/2) point is a solution to the inequality y < 1/3x+1/2.
To learn more on Inequalities click:
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write down all the factors of each number
a. 10
b. 25
c. 36
d. 50
e. 100
Answer:
Below
Step-by-step explanation:
The factors of 10 are 1, 2, 5, 10.
The factors of 25 are 1, 5, and 25.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 50: 1, 2, 5, 10, 25, 50.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.
SIX is a right triangle with the measure of X = 60° and the measure of I = 90° IF IX = 5. find the length of SX
Answer:
10
Step-by-step explanation:
Given the following
<X = 60°
I = 90°
IX = 5(Adjacent)
Required
SX (HYPOTENUSE
According to SOH CAH TOA
Cos theta = adj/hyp
Cos 60 = 5/SX
SX = 5/cos 60
SX = 5/(1/2).
SX =5×2
SX = 10
What percent of 0.2 gram of 32 mg
Answer:
625
Step-by-step explanation:
First, you have to convert 0.2 grams to mg. To do this, multiply 0.2 by 1000. This yield 200. Now 200 is what percent of 32.
200 * 100 / 32
= 625
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments. A random survey of 850 customers found only 34 with complaints. Does this provide evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints
Answer:
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
Step-by-step explanation:
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.
At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:
[tex]H_0: p \geq 0.05[/tex]
At the alternative hypothesis, we test if this proportion is less than 0.05, that is:
[tex]H_1: p < 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A random survey of 850 customers found only 34 with complaints.
This means that [tex]n = 850, X = \frac{34}{850} = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{850}}}[/tex]
[tex]z = -1.34[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
Please help. How do I solve this?
A local dealership provides you with statistics that show the number of each color car they sold last year along with the percentages that those sales represented relative to their inventory for that color car.
For each color, how many cars did the dealership have in its inventory before they started selling them?
Answer:
red: 20
white: 30
black: 25
silver: 40
other: 12
Step-by-step explanation:
To find the original number of cars per color in the inventory, divide the sold number of cars by the percent of the inventory.
red: 20 = 10/0.5
white: 30 = 21/0.7
black: 25 = 19/0.76
silver: 40 = 10/0.25
other: 12 = 4/0.33
Please help and find and explain Claire’s Mistake
Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find endpoints of a t-distribution with 0.005 beyond them in each tail if the sample has size n
Answer:
The correct answer is "2.660".
Step-by-step explanation:
Given that,
Sample size,
n = 61
t-distribution with,
t = 0.005
Now,
The degree of freedom will be:
= [tex]n-1[/tex]
= [tex]61-1[/tex]
= [tex]60[/tex]
hence,
⇒ [tex]t,df=t_{0.005}, 60[/tex]
[tex]=2.660[/tex]
[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)
A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4
9514 1404 393
Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
how can i solve the following
4(5x-2) = 2(9x + 3
2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon
Answer:
hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes
in induction, you look for a pattern and then form an educated guess or?
Answer:
look for a pattern then take an estimate or 'educated guess'
Step-by-step explanation:
Answer:
The answer is conjugation
Hope this helps!
please answer only neeed solve questions
Answer:
please answer only neeed solve questions
Step-by-step explanation:
I think hlp
Answer: No question asked.
Step-by-step explanation:
If you are making a problem, please actually ask a question. It will use your points if you make questions that don't really mean anything. Thank you.
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
I need the answers pls!!!!
please
Answer:
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
Step-by-step explanation:
Given
[tex](4x - 3)(5x - 8)[/tex]
Required
Identify and correct error
The error is when the inner and outer terms are multiplied. i.e.
[tex]4x * -8 = -32x[/tex] not 32x
[tex]-3 * 5x = -15x[/tex] not 15x
So, the expression is:
[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
what is the slope of the line that contains the points (-1,2) and (3,3)
Answer:
B
Step-by-step explanation:
Hi there!
We are given the points (-1,2) and (3,3) and we need to find the slope.
The formula for slope calculated from two points is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points
since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion
[tex]x_{1}[/tex]=-1
[tex]y_{1}[/tex]=2
[tex]x_{2}[/tex]=3
[tex]y_{2}[/tex]=3
now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.
m=[tex]\frac{3-2}{3--1}[/tex]
simplify
m=[tex]\frac{3-2}{3+1}[/tex]
m=[tex]\frac{1}{4}[/tex]
so B is your answer
Hope this helps! :)
Find the distance between A(-3, 2) and B(5, -1).
please help and thank you
Answer:
D) 3
Step-by-step explanation:
It is halfway the length of Y and W. 6-3= 3
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
Choose the linear inequality that describes the graph the grey area represents the shaded region
Answer:
Explain to me how you expect anyone to do this,
as you haven't provided the graph or the inequalities.
Step-by-step explanation:
Is the figure line symmetric? If yes, how many lines of symmetry does the figure have?
Yes
A.No
B. Yes;3 lines of symmetry
C.Yes;6 lines of symmetry
D.Yes; 12 lines of symmetry
Please help. This is due today
Answer:
yes 6 lines are symmetry
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Which distribution should you use for this problem
Answer:
The z-distribution should be used for this problem.
Step-by-step explanation:
The population distribution is assumed to be normal. Which distribution to use?
If we have the standard deviation for the sample, we use the t-distribution.
If we use the standard deviation for the population, we use the z-distribution.
There is a known standard deviation of 2.2 minutes.
This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.
Can someone answer these questions for me? (Questions are in the picture)
An orthocenter is the intersection of three.....?
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
Please solve for angle C
Answer:
29
Step-by-step explanation:
tan c = opposite / adjacent
c = tan -1 (25/45) = 29
Answer:
Step-by-step explanation:
tan C = opp/adj
sin C = 25/45
sin C = 0.5556
C = sin^-1 0.5556
= 33.75
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?
(doesnr let me put 2 pictures) what name length describes the center of the data? (a question to the number line) (i mark brainlist)
Work it out yourself lad
Answer:
three
Step-by-step explanation:
answer might be 3... shortest name length