Answer:
<A = 41.4°
Step-by-step explanation:
Recall, SOH CAH TOA
Reference angle = <A
Hypotenuse length = 8
Adjacent length = 6
Since Hypotenuse and Adjacent are involved, we would apply CAH, which is:
Cos A = Adj/Hyp
Plug in the values
Cos A = 6/8
Cos A = 0.75
[tex] A = Cos^{-1}(0.75) [/tex]
A = 41.4096221° ≈ 41.4° (nearest tenth)
In a blind ESP test, a person correctly identifies whether a tossed coin comes
up heads or tails in 63 trials out of 200. Using the normal approximation
(without the continuity correction), which of the following would you use to
calculate the probability of correctly identifying 63 or more?
Answer:
C
Step-by-step explanation:
the probability of the outcome being greater than 63 is x≥63
Write a word description of the set.
{1, 3, 5, 7, 9, 11, 13}
The set of odd natural numbers is less than
Answer:
if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13
A word description of sets is given below.
We have the following set - {1, 3, 5, 7, 9, 11, 13}.
We have to write a word description of set.
What is Set ?A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
According to the question, we have the following set -
{1, 3, 5, 7, 9, 11, 13}
The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -
a(n) = 2n - 1
This also represents the set of odd positive integers.
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the ratio of A:B is 3:4, the ratio of C:D is 1:2, the ratio of B:C is 2:5 What is the ratio of A:D?
The answer is attached. I hope this helps answer your question!
use the diagram below to find all missing angles
Answer:
Step-by-step explanation:
Soooo, angle 1 is 157 degrees
That means:
Angle 2 is 23 degrees Supplementary Angles
Angle 3 is 157 degrees Vertical Angle to Angle 1
Angle 4 is 23 degrees Vertical angle to Angle 2
Answers:
angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees=======================================================
Explanation:
Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180
(angle1)+(angle2) = 180
angle2 = 180-(angle1)
angle2 = 180-157
angle2 = 23 degrees
Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.
Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.
Find the slope from the given equation. 9y = -3x + 5
Answer:
-3/9x
Step-by-step explanation:
You rearrange for 'y' so divide both sides by it's coefficient which is 9.
Answer:
The slope is -1/3
PLS HELP ASAP! FIND THE VOLUME OF X.
Answer:
Step-by-step explanation:
5x + 150 = 180
5x = 30
x = 6
Hope this help!!!
Have a nice day!!!
The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5
Plzzz someone help i just need the formula
Answer:
[tex]S(y)=36000*(1+0.03)^{y}[/tex]
Step-by-step explanation:
Answer:
y=36,000×1.03^x
Step-by-step explanation:
If (3y-9)^2+7=43, then what is(are the values of y?
Answer:
y = 1 and y = 5
Step-by-step explanation:
[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
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1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.
Answer:
Kindly check explanation
Step-by-step explanation:
When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.
A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle
The numbers are a whole and a fraction that’s why there is a space
Answer:
6 3/8 units
Step-by-step explanation:
1 1/2* 4 1/4= 6 3/8
How much simple interest would be paid on a loan of 10,170 at 7.64% for 272 days
Answer:
I'll setup the problem and you can compute the answer
Step-by-step explanation:
The formula for simple:
I = P*r*t
I = interest
P = loan amount
r = interest rate per period (period = days)
n = number of periods
P = 10,170
r = .0764/365
t = 272
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students pass the class with an 86% or better? Enter the value of the percentage without the percent sign.
Answer:
Z-value is what we called the number of standard deviations from the mean. 62% is 8% one standard deviation to the left, or a Z-value of -1. 94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three. You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%
Step-by-step explanation:
Please mark me as brainlist
¿Cual es la fórmula del trapecio?
Ayuda plis
Answer:
Por lo tanto, el área de la fórmula de trapecio se da como: Área de un trapecio, A = h (a + b) / 2 unidades cuadradas. "h" es la altitud o altura. Sea a y b la longitud de los lados paralelos de un trapecio ABCD, como a es la longitud de la base y b es la longitud del lado paralelo a a.
Step-by-step explanation:
A cylinder of radius 12cm and height 9cm.
plss.. help me po goisss:( BRAINLIEST KO PO YUNG TAMANG SAGOT PLSS:(
I.)
1.) 7N = 50
2.) 35 - 16 = N
3.) 2P + 8 = 24
4.) R/5 = 9
5.) 30 - 10 = 20
II.)
1.) Twinity increased by eight times N
2.) D decreased by eleven
3.) The quotient of X and nine is K
4.) Five times X
5.) Three times a decreased by 5 is thirteen
6.) Nothing
7N = 50
35 - 16 = N
2P + 8 = 24
R/5 = 9
30 - 10 = 20
Twenty increased by eight times N
D decreased by eleven
The quotient of X and nine is K
Five times X
Three times a decreased by 5 is thirteen
What is the surface area and volume of the sphere shown below?
Your response should show all necessary calculations and diagrams.
Answer:
ur mom
Step-by-step explanation:
doin doin
Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5
The equation of the line is ___
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
[tex]-3y=-4x+5[/tex] and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
[tex]y=\frac{4}{3}x-\frac{5}{3}[/tex] So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
[tex]y-5=-\frac{3}{4}(x-3)[/tex]* and
[tex]y-5=-\frac{3}{4}x+\frac{9}{4}[/tex] and
[tex]y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4}[/tex] so
[tex]y=-\frac{3}{4}x+\frac{29}{4}[/tex]** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
Simplify the following expression.
29.718 - 29.63
Answer:
0.088 is the answer...
which of the following is not an appropriate method of proving triangles congruent. A] .asa B].sas C]ssa. D] sss.
Someone help me please
Square root of 121
I need help, Thank you
Answer:
It should be 33 degrees!
Step-by-step explanation:
This can be found out when we realize that all complimentary degrees add up to 90!
Answer:
33 degrees
Step-by-step explanation:
it would be nice if anyone could help
========================================================
Explanation:
Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.
Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y
(30-y)/2 = 10
30-y = 10*2
30-y = 20
-y = 20-30
-y = -10
y = 10
Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees
30+x+y = 180
30+x+10 = 180
x+40 = 180
x = 180-40
x = 140
Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.
Answer:
18.67 ft
Step-by-step explanation:
|\
| \
| \
h | \ 20 ft
| \
| \
|-- 69° \
---|----------------
For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.
sin A = opp/hyp
sin 69° = h/20
h = 20 * sin 69°
h = 18.67
Answer: 18.67 ft
Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right
Answer:
scalene
hope this helps
have a good day :)
Step-by-step explanation:
(y=179x
(y=105x+2046
Solve using elimination method and graph plss
Helpppp
Answer:
[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]
Step-by-step explanation:
[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]
[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]
[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]
[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]
The probability that he or she is a female given that the person is married
Answer:
3 /4
Step-by-step explanation:
The probability that selected person is a female Given she is married :
This is a conditional probability in the form ; A given B
P(A|B) = P(AnB) / P(B)
Let, Female = F ; Married = M
P(F|M) = P(FnM) / P(M) = 150 / 200 = 3 / 4
We need to find the numerator and denominator of the quotient.
Answer:
[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]
[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]
[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]
[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]
[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]
[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]
Find the volume of the given prism.
A) 6,336
B) 3,568
C) 1,784
D) 1,920
Answer:
[tex]\text{D. }1,920}\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]A=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is width, and [tex]h[/tex] is height.
Therefore, the area of the given prism is equal to [tex]8\cdot 12 \cdot 20=\boxed{\text{D. }1,920\:\mathrm{in^3}}[/tex].
please help this is due today! geometry
Find the distance between the points (4.3) and (0, 3).