Answers
Answer:
AB = 1.4 or 7/5
Step-by-step explanation:
(Excuse my rambling but I wanted to be sure of myself)
AD = 2(5/2) = 5
AD is a diameter.
any triangle in a circle with the hypotenuse as the diameter is a right triangle.
Draw a line from point A to point C.
ΔACD is a right triangle.
Solve for ∠CAD:
sin CAD = 3/5 = 0.6000
∠CAD = 36.87°
arc CD = 2 x 36.87° = 73.74°
arc BC = arc CD = 73.74°
arc DB = 147.48°
∠BAD = 1/2 (147.48°) = 73.74°
draw a line from point D to point B
ΔBAD is a right triangle.
cos 73.74° = AB/5
AB = 1.4
Related Questions
Maximize −4x + 5y + 70 subject to the constraints:
2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0
a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.
Answers
Answer:
Step-by-step explanation:
[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]
[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]
[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]
[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]
[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]
[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]
- [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]
[tex]x[/tex] [tex]= 2[/tex]
[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]
[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]
[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]
WILL GIVE BRAINLIST PLS HELP Find x. Round your answer to the nearest tenth.
Answers
Answer:
i think x= 13.5
Step-by-step explanation:
What is the 3rd quartile in the following data set? You may want to draw a box & whisker plot
to find the 3rd quartile. *
(5 Points)
{5, 16, 12, 3, 20, 15, 8)
16
12
15
5
Answers
Answer:
16
Step-by-step explanation:
Arrange date in order
3,5,8,12,15,16,20
find median in this case its 12 also khown as 2nd quartile know find the themedian of data that is on the right right of median or 2nd Quartiles That will be the 3rd quartile...
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answers
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
What is 0.11 / 22.77
Answers
Answer:
is your answer
0.00483091
Step-by-step explanation:
Which expression is equivalent to 6x^2+16x-6
Answers
The answer is (2x+6)(3x-1)
The ratio of cups of sugar to cups of water
Answers
Answer:
yes
Step-by-step explanation:
Sugar and water amounts used change proportionately.
how do you write this number out in words 506,341,209.54
Answers
Answer:
Five hundred six million, three hundred forty-one thousand, two hundred nine and fifty four hundredths.
Step-by-step explanation:
506, => Five hundred six million,
341, => three hundred forty-one thousand,
209 => two hundred nine
.54 => and fifty four hundredths.
This is how you would write it.
Hope it helps!
Can y’all help me on question four?!
Answers
Answer:
I believe the answer is B
Step-by-step explanation:
Work for E and F- 20/50=20X2=40 40 divided by 100 is 40%
50X2=100 and 40/100
Diego has run 4/5 of a race distance. He has run 7 2/3
Answers
“Diego has run 4/5 of a race distance. He has run 7 2/3 miles. How long is the race? Or “how many miles does he have left?”
How long is the race? = 9 7/12 miles
4/5x = 7 2/3
4/5x = 23/3
x = 23/3 • 5/4
x = 115/12
x = 9.58333
x = 9 7/12 miles
How many miles does he have left? = 1 1/12 miles
1/5 • 115/12 = 115/60 = 1.916666
= 1 55/60 = 1 11/12 miles
Let me know if I didn’t guess your question correctly and I will try to help more.
In a town, 65% of people had high speed internet in their homes. If the population of the town is 80,000, how many
people do not have access to high speed internet in their homes?
Show work
Answers
HELP ASAP !
Division Review:
There are 152 students in 4th
grade. They are going on a field
trip to the Bronx Zoo. The bus
can hold 20 students. How many
busses to they need so ALL
students can go?
a. 7 buses
b. 7 R 12
c. 8 buses
Answers
Answer:
C. 8 buses
Step-by-step explanation:
152/20=7 R 12
We can't have the 12 students not go! So we need 8 buses.
Hoped I helped, have a nice day!
Which intervals are most appropriate for a histogram
displaying the mileage ratings?
The list shows the mileage rating (in mpg) for some 2019
vehicles with all-wheel or four-wheel drive.
11, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18,
18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21,
21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24,
24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 29,
30, 31, 32, 33, 34
O 0-15, 15-30, 30-45
O 0–20, 20-40, 40-60
O 10-15, 15-20, 20-25, 25-30, 30-35
O 0-5,5–10, 10-15, 15-20, 25-25, 25-30
Answers
Answer:
C. 10–15, 15–20, 20–25, 25–30, 30–35
Step-by-step explanation:
Solve 4c + 10 = 2. A. c = 2 B. c = -3 C. c = 3 D. c = -2
Answers
Answer:
d.c=-2
Step-by-step explanation:
Answer: A. c=-2
Step-by-step explanation:
4c + 10 = 2
4c = -8
c = -2
X/23 = 21/34 round to hundredths place
Answers
Answer:
The answer is 14.19
Step-by-step explanation:
34 / 23 = 1.48
21 / 1.48 = 14.19
I hope this helps you! :D
In the finals of a singing contest at Greenvale Middle School, 300 students vote on which
contestant they liked best. The circle graph shows the results of the vote. How many
more votes did Gamba get than Ahmed?
Answers
Answer:
Gamba obtained 75 more votes than Ahmed.
Step-by-step explanation:
Given that in the finals of a singing contest at Greenvale Middle School, 300 students voted on which contestant they liked best, and Gamba got 35% of the votes while Ahmed got 10%, to determine how many more votes did Gamba get than Ahmed the following calculation should be performed:
(300 x 0.35) - (300 x 0.10) = X
105 - 30 = X
75 = X
Thus, Gamba obtained 75 more votes than Ahmed.
It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust.
Required:
a. Plot a histogram of bacterial endotoxin levels.
b. Test whether the observed difference in endotoxin levels between the "sensitive" and normal"
Answers
Answer:
[a]. check attachment.
[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is P-value = 0.001 <<0.05.
Step-by-step explanation:
Without mincing words let's dive straight into the solution to the question above.
[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.
KINDLY NOTE: The data is right-skewed.
[b]. ALLERGIC MEAN SE MEAN STDEV N
FALSE 1510 251 1789 251
TRUE 530 109 343 10
False - true = difference in a.
Hence, 80 = estimated difference.
For the difference, 95% CI = (434, 1527).
DF = 58, P-value = 0.001, and the T value = 3.59.
Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is P-value = 0.001 <<0.05.
A circular pool has a diameter of 25 feet. A 2 foot-wide sidewalk borders the entire pool. What is the approximate circumference of the outside edge of the sidewalk
A. 91 feet
B. 85 feet
C. 50 Feet
D. 27 feet
I’ll mark brainalist + points for answer / explanation
Answers
Answer:
Step-by-step explanation:
(A) não tenho sertesa
What is the area of the trapezoid shown below?
Answers
Answer: where is the trapezoid
Step-by-step explanation:
what is the value of angle x?
Answers
Answer:
x=66
Step-by-step explanation:
Hello There!
∠BAC ≅ ∠CDB because in a parallelogram opposite angles are congruent
So all we have to do is solver for ∠BAC
Remember the sum of the triangles angles is 180 so to find ∠BAC
we subtract the given angles (83 and 31) from 180
180-83-31=66
so ∠BAC = 66
like stated before
∠BAC≅∠BDC so if ∠BAC = 66 then x also equals 66
Answer:
x = 66
Step-by-step explanation:
x = 66 degree
4 divided 1/5 hep me plz
Answers
Answer:
4/1/5=20 because when you divide by a fraction u keep change the divison into multiplaicton and flip the 1/5 to 5/1 so 4x5
Step-by-step explanation:
Could someone please solve?
Answers
Answer:
a) y=4
b) x=8
Step-by-step explanation:
we know the a line is on point 4 on the y axis. So it would be y=4
The second one is the same. line b is on the point 8 on the x axis, so x=8
5. x=a+b+4 and anyz; bo when y=2; x=18 and when y=1; x=-3. Find tu
90
Answers
The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.
Answers
Answer:
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Applying to this question:
The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.
Answer:
B
Step-by-step explanation:
Find the length of the hypotenuse. Round your answer to the nearest 100th.
A. 8.06
B. 9.95
C. 11
D. 3.32
Answers
Step-by-step explanation:
C = root of 7^2 + 4^2
= 8.06
Ans = A
Sarah is solving for X by the process of completing the square for the following problem..
2x^2+16x-12=0
She got to this point below - type the number that goes in the (?) spot
(x+?)^2=22
Answers
Answer:4
Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.
So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12
The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12
So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.
So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.
Answer:
4
Step-by-step explanation:
x²+2(x)(?)+?²=22
multiply by 2 because the coefficient of the higher degree in the first equation is 2
2x²+2(2(x)(?))+2(?²)-2(22)=0
2x²+4x(?)+2?²-44=0
Comparison
4x(?)=16x
?=4
2?²-44=-12
So, 2?²=-12+44
2?²=32
?²=16
?=4
PLEASE NO LINKS I REALLY NEED HELP
Answers
Steps:
(2x + 3) + 63 = 180
2x + 3 = 180 - 63
2x + 3 = 117
2x = 117 - 3
2x = 114
x = 114/2
x = 57
Check:
(2x + 3) + 63 = 180
(2(57) + 3) + 63 = 180
(114 +3) + 63 = 180
117 + 63 = 180
180 = 180 ✅
Find the area of the shaded polygons
Answers
Answer:
8
Step-by-step explanation:
you can find matches that make 1 and add them all up
Answer:
8 because of rsm
Step-by-step explanation:
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answers
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
Write this equation in standard form y=3x+10
Answers
Answer:
to standard form
3x-y = -10