Answers
Answer:
m∠A = 130
Step-by-step explanation:
Here, In a given figure
m∠A = 2x - 30°
Now, we know that the sum of all angle is 180° on a straight line
So,
2x - 30° + 50° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160° ÷ 2
x = 80°
Here, we get the value of x is 80°
Now,
m∠A = 2x - 30°
m∠A = 2(80°) - 30°
m∠A = 160° - 30°
m∠A = 130
Thus, m∠A = 130
-TheUnknownScientist
Related Questions
Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4
Answers
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
Factor out the common factor in -45 + 81n + 90n^2
Answers
A: I think it’s 9(−5+9n+10n2)
Step-by-step explanation:
22yd 14 yd into square yards
Answers
Answer:
29.33
I thinks that right... lol :D
Forgive me if it wrong :(
Step-by-step explanation:
That is equivalent to 308 square yards. You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.
What is the value of 5 units as a mixed number
Answers
5integer 0/1 is the mixed fraction of 5 units
Help please will mark brainliest
Answers
Answer: 22.9
Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!
Answer:
22.9 i think
Step-by-step explanation:
I Need all the help please?
Answers
x-c=0
X =c
Then p(c)=0
A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
Answers
9514 1404 393
Answer:
80.38°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...
tan(α) = 236/40
α = arctan(236/40) ≈ 80.38°
Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE
Answers
Answer:
DE = 29.57
Step-by-step explanation:
Given:
AX = 15 cm,
CX = 12 cm,
EX = 21 cm.
Required:
Find DE
Solution:
AX and CX are segments of chord AC
DX and EX are segments of chord DE
Therefore,
DE = DX + EX
DE = DX + 21
We are not given the value of DX, so we need to find DX
Based on the intersecting chords theorem:
AX*CX = DX*EX
Plug in the values
15*12 = DX*21
180 = DX*21
Divide both sides by 21
180/21 = DX
8.57142857 = DX
DX ≈ 8.57
✅DE = DX + 21 = 8.57 + 21 = 29.57
V is a vector space. Mark each statement True or False. Justify each answer.
a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.
Answers
Answer:
FalseFalseFalseFalseTrueStep-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
A 5-foot tall student stands 15 feet from a flagpole. The student
casts a shadow 6 feet long which ends at exactly the same point
as the shadow of the flagpole.
How many feet tall is the flagpole, to the nearest tenth of a foot?
Answers
Answer:
17.5 ft
Step-by-step explanation:
Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.
The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answers
Answer:
zeros
roots
Step-by-step explanation:
The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.
Answers
Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
Learn more about the exponential function here;
https://brainly.com/question/15602982
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answers
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
Learn more about simple interest here:
https://brainly.com/question/25793394
The mother of a teenager has heard a claim that 23% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 23% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than
Answers
Answer:
H1 : p < 0.23
Step-by-step explanation:
The parameter percentage Given in the scenario above is 23%;
Proportion = 23/100 = 0.23
The null hypothesis ; H0 will support the claim ; Hence, H0 is expressed as ;
H0 : p = 0.23
Thw alternative hypothesis ; will negative the claim of the null hypothesis ; Hence, H1 will be ;
H1 : p < 0.23
A box with a square base and no top is to be built with a volume of 1638416384 in33. Find the dimensions of the box that requires the least amount of material. How much material is required at the minimum
Answers
Answer:
[tex]512\ \text{in}^2[/tex]
Step-by-step explanation:
x = Length and width of base
y = Height of box
Volume of the box is [tex]16384\ \text{in}^3[/tex]
[tex]x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}[/tex]
Surface area is given by
[tex]s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}[/tex]
Differentiating with respect to x we get
[tex]s'=2x-\dfrac{131072}{x^3}[/tex]
Equating with 0 we get
[tex]0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16[/tex]
[tex]s''=2+\dfrac{393216}{x^4}[/tex]
at [tex]x=16[/tex]
[tex]s''=2+\dfrac{393216}{16^4}=8>0[/tex]
So the function is minimum at x = 16
[tex]y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64[/tex]
The material required is
[tex]s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2[/tex]
The minimum amount of material required is [tex]512\ \text{in}^2[/tex].
Cuatro amigos, Andrés, Diego, Jairo y Luis juegan billar y acuerdan que aquel que pierda deberá duplicar la cantidad de dinero de los otros tres. Juegan cuatro partidas y cada uno de ellos pierde una vez, Andrés la primera, Diego la segunda, Jairo la tercera y Luis la cuarta. En ese momento cada uno de ellos tiene $ 32.000 ¿Cuánto dinero tenía cada uno de ellos al iniciar la apuesta?
Answers
Answer:
creo que 150
Step-by-step explanation:
A(b) is a function
True or false
Answers
Answer:
false
Step-by-step explanation:
because if one of the right side goes to two or more of the left its not a function
Help Please my we dobnt know
Answers
Answer:
its B
Step-by-step explanation:
Answer:
Its the 3rd one.
Also can I have brain list
Step-by-step explanation:
If a complete graph represents the road network in a country, it would be advantageous for that country in the even that an infectious disease hits one of the towns on the road network. Yes, it would be advantageous No, it would not be advantageous
Answers
Answer:
everyone
Step-by-step explanation:
A home is purchased for $ 794,000 with a 16% down payment. Find the monthly payment if the mortgage is 7.22% for 19 years. Round your answer to two
decimal places, if necessary,
Answers
Answer:
The monthly payment will be of $11,485.37
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
A home is purchased for $ 794,000 with a 16% down payment.
So the value of the loan, that is, the amount subject to interest, will be given by:
[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]
How much will the interest accumulate to?
7.22% of interest means that [tex]r = 0.0722[/tex]
19 means means that [tex]t = 19[/tex]
Monthly means that [tex]n = 12[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]
[tex]A(t) = 2618664.5[/tex]
Monthly payment:
2618664.5 divided in 19*12 payments. So
2618664.5/(19*12) = 11485.37
The monthly payment will be of $11,485.37
One side of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4). What are the coordinates of the other two vertices?
Answers
Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
Answers
Does anyone know how to do this?
Answers
Answer:
the formula to find the amount for number 7 is
A=p(1+r/n) raised to power n ,e.g
A=4000(1+4/1)raised to power 1
A=4000(1+4) raised to power 1
A=4000(5)
A=20,000.
to find interest
I=PRT/100
I=4000×4×1/100
I=#160
The percentage of married couples who own a single family home is 33% for a given population. A financial analyst is interested in the impact that home mortgages have on a couple's finances. As the financial analyst sets up a study, they are curious about the impact of sample size. What is the standard error of the sampling distribution of sample proportions for samples of size n=200, n=300, and n=400? Round all answers to the nearest thousandths if applicable.
Answers
Answer:
For samples of size n=200, the standard error is of 0.033.
For samples of size n=300, the standard error is of 0.027.
For samples of size n=400, the standard error is of 0.024.
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The percentage of married couples who own a single family home is 33% for a given population.
This means that [tex]p = 0.33[/tex]
Samples of 200:
[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]
For samples of size n=200, the standard error is of 0.033.
Samples of 300:
[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]
For samples of size n=300, the standard error is of 0.027.
Samples of 400:
[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]
For samples of size n=400, the standard error is of 0.024.
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answers
Answer:
p = 43 :)
Your welcome DaBaby
Find the range for the data. 1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
Answers
Answer:
The range of the data value is 695.
Step-by-step explanation:
Please mark me brainlliest!
Answer:
695
Step-by-step explanation:
Range is the difference between the largest and smallest value.
1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455
1890 - 1195
695
A middle school has 89 sixth graders, 107 seventh graders, and 104 eighth graders. The grid represents the 31% of students at this school who bring their lunch. 10 by 10 grid with first 3 columns shaded and top unit of the fourth row shaded How many students bring their lunch to school?
Answers
Dilations-He Said, She Said (12/10)
Answers
Answer:
um.....
Step-by-step explanation:
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answers
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
10 decreased by the sum of 3 + 5
Answers
Answer:
-2
Step-by-step explanation:
Answer:
answer is -2
Step-by-step explanation:
5+3=8
8-10= -2