PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!
Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.
1. Elean: w+148=180 , Diego: x+90=148.
We know that angle BKC=148 degrees.
I agree with : ( Elena / Diego /Both of them) .
Because:
Describe, in words, the process you would use to find the missing values:
Answers
Answer:
I agree with Elena. See explanation below.
Step-by-step explanation:
A right angle is equal to 90 degrees.
A straight line is equal to 180 degrees.
Elena: w + 148 = 180
Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:
w + 148 = 180
w + 148 - 148 = 180 - 148
w = 32 degrees
Diego: x + 90 = 148
Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.
To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:
w + x = 90
32 + x = 90
32 - 32 + x = 90 - 32
x = 58 degrees
Related Questions
(d) 4 – 0.2 x (0.4 + 0.7)
Answers
Answer:
4d - 0.22
Step-by-step explanation:
Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68
Answers
9514 1404 393
Answer:
(b) $1,393.88
Step-by-step explanation:
For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...
47.75 hours + (7.75 hours)/2 = 51.625 hours
That pay is ...
(51.625 h)($27/h) = $1393.88
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x 11 12 4 6 13 14 8 10 7 5 9
y 18.69 19.17 6.13 11.37 19.31 19.31 15.28 17.88 13.49 8.91 16.75
Required:
Create a scatterplot of the data.
Answers
Answer:
Ŷ = 1.3082X + 3.3436
Step-by-step explanation:
Given the data :
X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9
Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75
Using technology, the data above gave the resulting linear regression model :
Ŷ = 1.3082X + 3.3436
Slope of model = 1.3082
Intercept = 3.3436
Scatter plot is attached below :
A fair six-sided die is thrown four times Find the probability, correct to three decimal places, of getting
i) exactly one six occurs
ii) at least one six occurs
Answers
Answer:
I) 0.386 = 38.6% probability that exactly one six occurs.
II) 0.518 = 51.8% probability that at least one six occurs.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a six, or it is not. The probability of a six being rolled is independent of other throws, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Thrown four times
This means that [tex]n = 4[/tex]
Probability of rolling a six:
Six sides, one of which is 6. So
[tex]p = \frac{1}{6} = 0.1667[/tex]
i) exactly one six occurs
This is [tex]P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1667)^{1}.(0.8333)^{3} = 0.386[/tex]
0.386 = 38.6% probability that exactly one six occurs.
ii) at least one six occurs
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.1667)^{0}.(0.8333)^{4} = 0.482[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.482 = 0.518[/tex]
0.518 = 51.8% probability that at least one six occurs.
a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east
Answers
Answer:
26.6degrees
Step-by-step explanation:
Given
percent grade through north = 10% (opposite)
percent grade through east = 20% (adjacent)
Get the direction
Using the SOH CAH TOA identity
tan theta = opp/adj
tan theta = 10/20
tan theta = 0.5
theta = arctan (0.5)
theta = 26.6degrees
Hence the required angle is 26.6degrees
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answers
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Answer:
136 general admission tickets were purchased
300 upper reserved tickets were purchased
Step-by-step explanation:
This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:
[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]
Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:
[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]
Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:
[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]
answer plz. dont put random response bc i will do the same
Answers
Answer:
m∠ABC = 53°
Step-by-step explanation:
m∠ABC + m∠CBD = m∠ABD
m∠ABC + 37° = 90°
m∠ABC = 53°
Answer:
53º
Step-by-step explanation:
abc = 90 - 37
abc = 53º
A sled is moving down a steep hill in a straight line. At time ts, the
acceleration of the sled is ams-2 where a = 1/500(20t^2-t^3), 0 < t < 20. When t = 0
the sled is at rest at the top of the hill. Find the distance the sled travels in
the first 10 s of its motion.
Answers
Acceleration is the rate of change of velocity over time
The sled travels 100 meters in the first 10 seconds of its motion
How to determine the distanceThe acceleration function is given as:
[tex]a = \frac 1{500}(20t^2 - t^3)[/tex]
When t = 10, we have:
[tex]a = \frac 1{500}(20*10^2 - 10^3)[/tex]
[tex]a = 2[/tex]
The distance at 10 seconds is then calculated as;
[tex]S = ut +\frac 12 at^2[/tex]
Where:
u = initial velocity = 0
So, we have:
[tex]S = 0 *10 +\frac 12 * 2 * 10^2[/tex]
[tex]S =100[/tex]
Hence, the sled travels 100 meters in the first 10 seconds of its motion
Read more about acceleration at:
https://brainly.com/question/605631
A coin is flipped 60 times and lands on heads 36 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?
Answers
Answer:
108
Step-by-step explanation:
200 divided by 60 equals 3 then 36 times 3 equals 108
Answer:
120 heads
Step-by-step explanation:
The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads
pahelp po pls.... BRAINLIEST KO PO ANG TAMANG SAGOT PLSS:((
Answers
Answer:
i can not understand your language please type in english
Suppose a normal distribution has a mean or 70 and a standard deviation of 7. What is P(x>=94)? O A. 0.075 O 8. 0.025 c. 0.84 OD 0,16
Answers
Answer:
0.025
Step-by-step explanation:
Mean = 79 ; Standard deviation = 7
P(x ≥ 93)
We obtain the ZSCORE :
Zscore = (x - mean) / standard deviation
x = 93
Zscore = (93 - 79) / 7 = 2
P(Z ≥ 2) = 0.02275
What is the value of this number in decimal form?
Three hundred sixty-seven thousandths.
Answers
Answer:
306+7÷100=306.07 that is the answer
The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401
Answers
10.5
inches
width is
6.5
inches
Explanation:
Let length be
l
Let width be
w
Let perimeter be
P
First, we must construct an equation for these variables:
l
=
w
+
4
P
=
34
But, Perimeter of a rectangle
=
l
+
w
+
l
+
w
=
2
l
+
2
w
So:
34
=
2
l
+
2
w
But, since
l
=
w
+
4
, we can substitute for
l
, having only the
w
variable:
34
=
2
(
w
+
4
)
+
2
w
34
=
2
w
+
8
+
2
w
34
=
4
w
+
8
Solve for
w
:
4
w
=
34
−
8
4
w
=
26
w
=
26
4
w
=
6.5
inches
Now, we can substitute
6.5
for
w
in the Perimeter Equation:
34
=
2
l
+
2
w
becomes:
34
=
2
l
+
2
⋅
6.5
34
=
2
l
+
13
Solve for
l
:
2
l
=
34
−
13
2
l
=
21
l
=
21
2
l
=
10.5
inches
Thus, length is
10.5
inches
Thus, width is
6.5
inches
Answer: L = 4 + w
A = 2P - 4
lw = 2(2l +2w) - 4
lw = 4(l + w) - 4
(w+4)w = 4 ( w+4+w) -4
(w +4)w = 4(2w + 4) - 4
w^2 + 4w = 8w + 16 - 4
w^2 + 4w = 8w + 12
w^2 - 4w - 12 = 0
( w - 6 )( w + 2 ) = 0
w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60
w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected
Step-by-step explanation:
The length of a rectangle is four times the width. If the area of the rectangle is 36
square inches, then find the length and width.
Answers
Answer:
36÷12=3
12×3=36
Length is 12
Width is 3
Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options
Answers
Answer:
B.
Step-by-step explanation:
The main reason for this is to research unfamiliar industries that might reveal good investment opportunities. When you conform to what you know, you fall into a comfort zone. This prevents you from taking the time to investigate and learn new things. In this scenario, investing everything in familiar stocks will prevent you from looking for new investment options in different industries which could have led to incredible investment opportunities. Therefore, it is a better choice to invest a large portion in safer familiar stocks but leave a certain percentage for riskier and newer investments.
Answer:
Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options
Step-by-step explanation:
Which function is an even function?
Answers
f is an even function if f(-x) = f(x)
f is an odd function, if f(-x) = -f(x)
[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]
Option B is an odd function
Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.
A. 2520 ways
B. 24 ways
C. 504 ways
D. 6 ways
Answers
Answer:
Option c
Step-by-step explanation:
From the question we are told that:
Four accounting majors [tex]N_a=4[/tex]
Two economics majors [tex]N_e=2[/tex]
Three marketing majors [tex]N_m=3[/tex]
Total Applicants N_T=9
Generally the equation for Different ways that five of these could be hired is mathematically given by
[tex]X_5=^9P_5[/tex]
[tex]X_5=\frac{9!}{(9-5)!}[/tex]
[tex]X_5=15120[/tex]
Generally the equation for Different ways that Three of these could be hired is mathematically given by
[tex]X_3=^9P_3[/tex]
[tex]X_3=\frac{9!}{(9-5\3)!}[/tex]
[tex]X_3=504 ways[/tex]
Option c
3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?
Answers
Answer:
1. Volume of cone =
where h is the height of the cone and r is the radius.
2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm
so the volume = ()
3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.
V(cone)=
V(top section)=192-24=168
Step-by-step explanation:
Case Study 2
Based on the success of their new treatment for sickle cell disease,
Amitye-Baane-Fortaleza research team decided to start a new company and
open a research center dedicated to curing diseases that disproportionately
affect Black people in the United States and around the world. They hired
an engineering and architecture firm called Bishapham-Cummins, Rice,
and Holloway LLC. They assigned their lead architects Fatoumata Sylla
and Leudy Tejada, along with lead engineers Jerome Wade, Neveah
Rodrigues and Jarell Hunte to design and build the new research center
based on the following square pyramid scale outline:
Answers
Answer:
good for them i think
Step-by-step explanation:
this doesnt make any sense
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answers
Answer:
2
Step-by-step explanation:
Given the nth term equation:
C(n) = - 6(-1/3)^(n-1)
The 2nd term :
C(2) = - 6(-1/3)^(2-1)
C(2) = - 6(-1/3)^1
C(2) = - 6(-1/3)
C(2) = - 6 * - 1/3
C(2) = 2
You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gallons. Calculate the cost of the trip
Answers
Answer: [tex]\$\ 204.4[/tex]
Step-by-step explanation:
Given
The total length of the trip is [tex]l=1940\ \text{miles}[/tex]
Car average is 28 miles per gallon
So, car requires
[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]
Price of gas is $2.95 per gallons
[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]
So, the cost of the trip is [tex]\$\ 204.4[/tex]
simplify 2p/3 ×5p/12
Answers
Answer:
After simplify answer will be :[tex]\frac{5p}{18}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]
Now,
[tex]\frac{10p}{36}[/tex]
Final answer would be :
[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]
A fruit punch that contains 10% fruit juice is combined with 100% fruit juice. How many ounces of each should be used to make 51oz of a mixture that is 70% fruit juice?
Answers
9514 1404 393
Answer:
34 oz 100%17 oz 10%Step-by-step explanation:
Let j represent the number of ounces of 100% juice in the mix. Then (51-j) is the number of ounces of 10% juice. The total amount of fruit juice in the punch mix is ...
1.00j + 0.10(51 -j) = 0.70(51)
0.90j = 51(0.70 -0.10) . . . . . . . . collect j terms, subtract 0.10(51)
j = 51(0.60/0.90) = 51(2/3) = 34 . . . . . . . divide by the coefficient of j
The mixture should use 34 ounces of 100% juice and 17 ounces of 10% juice.
Which function, g or h, is the inverse function for function ƒ?
Answers
Answer:
B.
Step-by-step explanation:
Remember that graphically, a function and its inverse are reflections over the line y = x.
Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.
Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.
Hence, our answer is B.
Answer:
The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"
HELP PLEASE Which expressions are equivalent to 2(3/4x+7) -3(1/2x + -5)? Check all that apply.
Answers
Answer:
2., 3., 5.
Step-by-step explanation:
when we do the multiplications we see
2×3x/4 + 2×7 - 3×1x/2 + 3×5 = 3x/2 + 14 - 3x/2 + 15 = 29
as 3x/2 and -3x/2 reduce themselves in a sum to 0.
this gives answer option 2.
the other correct answer options are just splitting the addition part in a multiplication into their 2 "sub-multiplications" and adding these results.
the only correct ones (correctly maintaining our converting the signs) are 3 and 5.
option 4 suddenly converts the -3 factor into +3 without any other compensation. so, that is wrong.
and option 1 made again a sign mistake with -3×-5, which is correctly +15 and not -15.
i will mark brainliest please help me on this question!
Answers
Answer:
C
Step-by-step explanation:
You can determine this by the third and fourth quartiles.
Answer:
C
Step-by-step explanation:
1,4,4,9,10,10,14
We know the smallest number is 1 and the largest number is 14, so they are left and right whiskers
1,4,4, 9, 10,10,14
The middle number is the 4th number, which is 9 so it is the middle number of the box
Taking the numbers on the left
1,4,4
The middle number is 4 so it is the left hand side of the box
Taking the numbers on the right
10,10,14
10 is the middle number so it is the right hand side of the box
what is the answer?i need it bc im stuck
Answers
Answer:
steam iron = 41.25
t-shirts = 17.82
paintbrushes = 13.94
bags of pasta = 3.52
total = 76.53
Answer:
1. 17.82 2. 13.94 3. 3.52 4. 35.28
Step-by-step explanation:
Hope thishelps :)
WDYM BY SUBSTITUTION when u get the two proportions, u say "substitute" im giving 100
Answers
Answer:
substitute means to use or add in place of something.
Step-by-step explanation:
Example: Substitute 1 for x: therefore x now is equal to 1.
look at pic 10 pts will mark brainilest AND WILL HELP OUT W A QUESTION shsu
Answers
Answer:
B
Step-by-step explanation:
Help out omggggg !!!!!!
Answers
Answer:
sorry the diagram is not clear......