Answer: 30.43
Step-by-step explanation: The smaller triangle has an angle of 54°. The hypothenus is 20, so we're looking for the opposite using SOHCAHTOA
Sin x = opp/hyp
Sin 54 =opp/ 20
Opp= sin54 ×20
Opp= 16.18
Therefore, BD is 16.18
In the bigger triangle, with taking the angle 28° we have DC to be the adjacent.
Tan 28° = 16.18/adj
Adj = 16.18/tan 28°
Adj = 30.43
DC = 30.43
0.5x-1.3(3x-4.5)+2.2
Answer:
-3.4x+8.05
Step-by-step explanation:
An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 78 students?
(no link)
Answer:
10 tutors
Step-by-step explanation:
48/6 = 8 student/tutor
78/8 = 9.75 tutors
10 tutors
Find the percent decrease. Round to the nearest percent.
From 86°F to 68°F
Answer:
21%
Step-by-step explanation:
To find the decrease subtract 68 from 86
86 - 68 = 18
Divide 18 by the original temperature -
18/86 = 0.209
Multiply 0.209 by 100 to find the percent -
20.9%
Round to the nearest percent -
21%
sloveeeeeeee plssssssssss bots are deleted
a=b, b=40
360-a-b=c*2
360-80=c*2
280=c*2
140=c
本题已由中国数学会官方解答(现有会员:3人)
Find the equation of the line with slope = 6 and passing through (-9,-58). Write your equation in the form y = mx+ b
Answer:
y=6x-4
Step-by-step explanation:
What we know
the slope is 6our point is (-9,-58)-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this
-58=6(-9)+b
-58=-54+b
-58=54+b - we changed -54 to a positive 54
54-58=-4
y=6x-4
What is the probability that a random sample of 100 accounting graduates will provide an average(X¯) that is within $902 of the population mean (µ)?
Using the normal distribution and the central limit theorem, it is found that there is a 0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]Hence, the probability of sample having mean within M of the population mean is the p-value of [tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex] subtracted by the p-value of [tex]Z = -\frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex].
In this problem, we suppose [tex]\sigma = 10000[/tex], and thus, with a sample of 100, we have that [tex]s = \frac{10000}{\sqrt{100}} = 1000[/tex].
Within $902, hence [tex]M = 902[/tex].[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \frac{902}{1000}[/tex]
[tex]Z = 0.902[/tex]
[tex]Z = 0.902[/tex] has a p-value of 0.8164.
[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = -\frac{902}{1000}[/tex]
[tex]Z = -0.902[/tex]
[tex]Z = -0.902[/tex] has a p-value of 0.1836.
0.8164 - 0.1836 = 0.6328.
0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.
A similar problem is given at https://brainly.com/question/24663213
Order the angles from least to greatest?
Answer:
Angle N, Angle R, Angle Q
Step-by-step explanation:
The measure of the angles of a triangle are shown in the figure below. Solve for x
The 3 angles in a triangle sum up to 180° (Angle sum property of a triangle).
90° + 36° + (7x + 5)° = 180°
126 + 7x + 5 = 180
131 + 7x = 180
7x = 180 - 131
7x = 49
x = 49/7
x = 7
_____
RainbowSalt2222 ☔
Answer:
x=7
Step-by-step explanation:
The sum of the angles of a triangle are 180
90+36+ 7x+5 = 180
131+7x = 180
7x = 180-131
7x =49
Divide by 7
7x/7 = 49/7
x=7
HELP ASAP PLEASE! Who can please help me write a short reading summary for my english class? I will explain all details after. Thank you in advance :)
Answer:
me what is there to write about
Step-by-step explanation:
HELP PLEASE Tonya found $2.25 in nickels and quarters in her sofa cushions. If the number of nickels Tonya found is five more than three times the number of quarters she found, what is the total number of coins Tonya found?
A study of bone density on 5 random women at a hospital produced the following results. Age 45 49 53 57 73 Bone Density 355 340 325 320 315 Step 1 of 3 : Calculate the correlation coefficient, r. Round your answer to six decimal places.
Correlation is the measure of the degree to which any two variables vary together.
If one variable tends to increase as the other variable decreases , the correlation is said to negative or inverse.
From the correlation we assess the strength of the relationship of two variables.
A numerical measure of strength in the linear relationship between the two variables is called co efficient of simple correlation.
The co efficient of simple correlation r is a pure number and assumes values from+1 to -1 .
r= -0.837295
The sign of r indicates the direction of the relationship or correlation.
It can be determined by finding the COV (X,Y)/ √Var (X) Var(Y)
In the given question it is calculated by using the excel sheet.
The correlation tab is found in the statistical column of the formula tab.
After entering the data in the excel the correlation tab is clicked and the rows cells are entered and the answer is obtained.
Another way is use the data analysis tab and click the correlation tab.
For both ways the following result is obtained .
r= -0.83729481
rounded to 6 places gives
r= -0.837295
https://brainly.com/question/18054482
https://brainly.com/question/24169114
An item on sale costs 80% of the original price. The original price was $73.
Answer:
$58.40
Step-by-step explanation:
Really simple stuff here once you know how percentages work.
10% of 73.00 is 7.30, which means that if we do:
7.30 * 2 that means we have 20%
So, 7.30 * 2 = 14.60
73.00 - 14.60 = $58.40
We can check this by doing
7.30 * 8 = $58.40
What is the equation of the line in slope intercept form? Help 30 points!
Answer:
y = 2/3x - 7
Step-by-step explanation:
(3, -5) (-3, -9)
and y = -7 when x = 0 from graph
so c = -7
m = -9 - (-5) / -3 - 3
= -4 / -6
= 2/3
line equation is y = mx + c
y = 2/3 x + (-7)
y = 2/3x - 7
[tex]\\ \sf\longmapsto m=\dfrac{-9+5}{-3-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4}{6}[/tex]
[tex]\\ \sf\longmapsto m=2/3[/tex]
b=-7Now
Equation of line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{2}{3}x-7[/tex]
What’s 4 over 5 fraction simplified
Answer:
It's already simplified to its lowest term so....
Answer: It can’t be simplified.
Step-by-step explanation:
You can simplify 4/5 since it already in its simplest form.
Please help me !!! somebody can help me this and I'm very appreciate it
Answer:2.11 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Which list of ordered pairs represents a function?
A.(0,4), (1, 2), (1,3), (2, 4)
B.(0,4), (0, 2), (1,3), (2, 4)
C.(1,4), (2, 2), (4,3), (3, 4)
D.(2, 2), (0, 2), (1,3), (2, 4)
bearing in mind that a function never has X-repeats, or namely the 1st value of each coordinate is never repeated, let's check these ones, who has an X-repeat and doesn't, Check the picture below.
When a number is divided by 8, the remainder is 6 and the same number is divided by 7 the remainder is 5 what is the number
Answer:
gọi x là số cần tìm, y là số sau khi chia. Ta có
y.8+6=x
y.7+5=x
=>x= -2 , y= -1
Step-by-step explanation:
An isolates right triangle has a hypotenuse of 6. Find the
length of the leg. Round to the nearest tenth.
Check the picture below.
[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]
Answer:
Answer:The length of the leg is 4.2 units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
−6×(−1)=?minus, 6, times, left parenthesis, minus, 1, right parenthesis, equals, question mark
Answer:
6
Step-by-step explanation:
When you multiply two negative numbers, the result becomes posititve
(Will give BRAINLIEST ANSWER If you got it correct)
Perform the following binary multiplication.
1111X111
Answer:
123321?
Step-by-step explanation:
b. Convert kilograms to grams.
18.2 kilograms = __*(
X
x-
X
grams
Answer:
18.2 kilograms =
18,200 grams
The graph of the linear function f is shown in the ayplane above. The graph of the inear function g inot shown is perpendicular to the graph of fand passes through the point (1.-5) what is the value of g(-2) ?
Answer:
Step-by-step explanation:
slope of f(x) is 1/3 as y increases one unit for every three units increase in x.
Perpendicular lines have negative reciprocal slopes, so g(x) has a slope of -3
-5 = -3(1) + b
b = -2
g(x) = -3x - 2
g(-2) = -3(-2) - 2 = 4
for all real numbers x, sin(2x)=
For all real numbers x, the equation sin(2x) = 2sin(x)cos(x)
The trigonometric function sin(2x) represents the sine of twice the angle x.
Using a trigonometric identity, we can express sin(2x) in terms of sine and cosine of x:
sin(2x) = 2sin(x)cos(x)
This identity states that the sine of twice an angle is equal to twice the product of the sine of the angle and the cosine of the angle.
So, for any real number x, sin(2x) can be calculated by evaluating 2sin(x)cos(x).
To know more about equation, refer here:
https://brainly.com/question/32556925
#SPJ2
A shipping box, in the shape of a cube, has a volume of 2,300 cubic inches. Estimate the length of the side of the shipping box to the nearest integer.
Answer:
13 inches
Step-by-step explanation:
The volume (V) of cube is related to the edge length (s) by ...
V = s³
Then the edge length is ...
s = ∛V
For a cube with a volume of 2300 cubic inches, the edge length is ...
s = ∛(2300 in³) ≈ 13.2 in
To the nearest integer, the length of the side of the shipping box is 13 inches.
Given the diagram angles 1 and 5 are an example of what?
Answer:
corresponding angles
Step-by-step explanation:
RS = 2x + 10
ST = x - 4
RT = 21
Answer:
x = 5
Step-by-step explanation:
RS +ST = RT
2x + 10 + x - 4 = 21
2x + x + 10 - 4 = 21 {Combine like terms}
3x + 6 = 21
Subtract 6 from both sides
3x = 21 - 6
3x = 15
Divide both sides by 3
x = 15/3
x = 5
Why is it hard to do 6th grade math?
Answer:
Because 6th grade math is the abosulute worst. other than every other math above 6th grade
Step-by-step explanation:
8 x 2/5 in simplest form
Answer:
3 1/5
Step-by-step explanation:
8/1 = 8
8/1 * 2/5 = 16/5
16/5 = 3 1/5
Answer:
32/10, or 3 1/5
Step-by-step explanation:
One way of doing this problem is to multiply the numerators 8 and 2 together and then divide the result by 5:
8*2
-------- = 16/5
5
In turn, 16/5 can be rewritten as 32/10, or 3 1/5
Which of the following is the correct equation for this function?
A. v=2x² + x - 2
B. v= 2x^2 - 4x
C. 1= (x+1)(x-2)
D. V+1=2(x - 3)^2
Answer:
B. y = 2x^2 - 4x
Step-by-step explanation:
The point (0, 0) lies on the graph, so the equation has no constant term (the constant is zero). Only one answer choice has this characteristic:
y = 2x^2 -4x
Which statement about the two triangles is this correct
Answer:
option 1 is correct .. triangle ABC is congruent to DEF..