Answers
Answer:
The missing angle is 60⁰
The length of side a is 12.12
The length of side c is 14
Step-by-step explanation:
The missing angle is a complementary angle which is calculated as follows;
θ = 90 - 30
θ = 60
The missing angle is 60⁰
The length of side a is calculated as follows;
[tex]tan (30) = \frac{7}{a} \\\\a = \frac{7}{tan(30)} \\\\a = 12.12 \ units[/tex]
The length of side c is calculated as follows;
[tex]sin(30) = \frac{7}{c} \\\\c = \frac{7}{sin(30)} \\\\c = 14 \ units[/tex]
Related Questions
15 POINTS (08.01) The graph shows two lines, A and B.
How many solutions are there for the pair of equations for lines A and B? Explain your answer.
Answers
Find the length of x, round too the nearest tenth
Answers
Answer:
Step-by-step explanation:
take 34 degree as reference angle
using tan rule
tan 34=opposite/adjacent
0.67=x/16
0.67*16=x
10.72=x
10.7=x (after converting it to the nearest tenth)
Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2
Answers
Answer:
See attachment for circle
Step-by-step explanation:
Given
[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]
Required
Draw and label the circle
The equation of a circle is:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
[tex]Center = (a,b)[/tex]
[tex]Radius = r[/tex]
So, we have:
[tex]Center = (5,-10)[/tex]
[tex]Radius = 6[/tex]
See attachment for circle
The following table shows a proportional relationship between j and m.
Answers
If you look at the numbers M is always 3/4 of J so the equation is M = ¾J
Answer:
[tex]j = \frac{3}{4} m[/tex]
Step-by-step explanation:
[tex]4j = 3m[/tex]
Divide both sides by 4 and you get the answer :)
A point with a positive x-coordinate and a negative y-coordinate will lie in which quadrant?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Answers
The manager of a large company that sells pet supplies online wants to increase sales by encouraging repeat purchases. The manager believes that if past customers are offered $10 off their next purchase, more than 40 percent of them will place an order. To investigate the belief, 90 customers who placed an order in the past year are selected at random. Each of the selected customers is sent an e-mail with a coupon for $10 off the next purchase if the order is placed within 30 days. Of those who receive the coupon, 38 place an order.
Required:
a. Is there convincing statistical evidence, at the significance level of a = 0.05, that the managerâs belief is correct? Complete the appropriate inference procedure to support your answer.
b. Based on your conclusion from part (a), which of the two errors, Type I or Type II, could have been made? Interpret the consequence of the error in context.
Answers
Answer:
There is not a convincing statistical evidence, at the significance level of a = 0.05, that the manager's belief is correct.
As the null hypothesis maybe false accepting it makes a type II error.
Step-by-step explanation:
Let the null and alternate hypotheses be
H0: p ≤ 0.4 vs Ha : p>0.4
q= 1-p= 1-0.4= 0.6
The significance level alpha is 0.05
The critical region for one tailed test is Z> ± 1.645
The sample proportion is p^= x/n= 38/90=0.42222
Using the z statistic
z= p^- p/ √pq
z= 0.422-0.4/ √0.4*0.6
z= 0.04536
Since the calculated value of z= 0.04536 does not lie in the critical region Z> ± 1.645 we fail to reject null hypothesis.
There is not sufficient evidence to support the manager's claim.
Type I error is when we reject the true null hypothesis .
Type II error is when we accept the false null hypothesis .
As the null hypothesis maybe false accepting it makes a type II error.
There is not enough statistical evidence that the managers' claim is true.
What is the z test statistic for one sample proportion?Suppose that we have:
n = sample size[tex]\hat{p}[/tex] = sample proportionp = population proportion (hypothesised)Then, the z test statistic for one sample proportion is:
[tex]Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
What are type I and type II errors?The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, we've got:
Assumption by manager = Population proportion of repurchase by customers > 0.4Sample size = n = 90Sample proportion of repurchase = 38/90 ≈ 0.422Level of significance = α = 0.05The hypotheses for test would be:
Null hypothesis: Manager is not correct(nullifies managers' assumption): [tex]H_0: p \leq 0.4[/tex] (p is population proportion of repurchasing customers)Alternate hypothesis: Managers' assumption is true: [tex]H_1: p > 0.4[/tex]It is single tailed.
At the level of significance 0.05, for single tail, the critical value of Z test statistic is found to be [tex]Z_{\alpha/2} = \pm1.645[/tex]
The z test statistic for one sample proportion is:
[tex]Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
We test null hypothesis, according to which p is 0.4 or less, so we get:
[tex]Z \approx \dfrac{0.422- 0.4}{\sqrt{\dfrac{0.4(1-0.4)}{90}}} \approx \dfrac{0.022}{\sqrt{0.00267}} \approx 0.426 < |Z_{\alpha/2}| = 1.645[/tex]
Thus, we accept the null hypothesis (we do so when [tex]Z < |Z_{\alpha/2}|[/tex] )
Therefore, there is not enough statistical evidence that the managers' claim is true.
Thus, here, we get:
Type I error: Rejecting the fact that manager's claim is wrong(and thus accepting that manager's claim is right) when actually manager's claim is wrong.Type II error: Accepting the fact that manager's claim is wrong(and thus rejecting that manager's claim is right) when actually manager's claim is right.Learn more about type I and type II errors here:
https://brainly.com/question/26067196
The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8
Answers
Answer:
C 14n - 8
Step-by-step explanation:
rectangle area = length×width = 12n²-19n-21
width = 3n-7
what do we need to multiply with width to get the full area expression ?
think : what do we need to multiply with 3n to get 12n² (4n)?
and what to multiply with -7 to get -21 (3)?
=> length = 4n+3
perimeter is 2×length + 2×width
p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8
A pendulum on a grandfather clock swings side to side once every second. If the length of the pendulum is 8ft and the angle is 20 degrees, how far does it travel in 1 second?
Answers
Step-by-step explanation:
Yo all ✌️✌️
Jóin me
g-meet
besmfyotjp
Answer:
73.66 miles per hour
or if 40 degree whole swing of pendulum then ;
147.33 miles per hour.
Divide by 3600 for p/second
Step-by-step explanation:
sin x = opp /hyp = 8 x sin (20) = 1.113384808 = 1.11ft
1.1ft p/s
5290 feet in every mile
5290/1.113384808 = 4751.27733 feet
3500 seconds in an hour
3500/4751.27733 x 100 = 73.6644013 m/ph
Scenario 2
or 2.2 feet per second depending on whether the angle from central each side is 20 degrees = 1.1 x 2 = 2.2 feet.
5290/2.22676962 =2375.63866
3500 seconds in an hour
3500/2375.63866 x 100 = 147.328803 m/ph
Find the measure of c in the figure below using the side lengths given
Answers
Answer:
Step-by-step explanation:
take angle C as reference angle
using tan rule
tan C=oppposite/adjacent
tan C=6/12
tan C=0.5
C=[tex]tan^{-1}[/tex]0.5
C=26.6 degree
The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.27 0.30 0.25 0.16 0.01 O A. 15.38 B. 15.31 о O C. 15.50 O D. 15.35 SUBMIT
Answers
Answer:
15.31
Step-by-step explanation:
The expected value, E(X) is given by :
E(X) = Σx*p(x)
From the table above :
E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)
E(X) = 15.31
Which is the graph of f(x) = square root 4x
Answers
The graph of f(x) = sqrt( 4x) looks like this. So choose the one that looks like the image attached.
PLS PLS ANSWER SOMEONE
Answers
Answer:
the answer i think it is 5
im not 100% sure on what the question is, but i hope this helps
Step-by-step explanation:
how to calculate the circumference of a circle whose radius is 12cm
Answers
Answer:
75.4cm
Step-by-step explanation:
To calculate the circumference, you need the radius of the circle:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Answer:
C ≈ 75.4 cm
Step-by-step explanation:
[tex]2\pi r[/tex]
2 × 3.14 × 12
C ≈ 75.4 cm
Determine the intercepts of the line
X_______
Y_______
Answers
Answer:
-250, and 100
Step-by-step explanation:
The intercepts of the line are the points where line intersects the x-axis and y-axis .
the x intercept is at point (-250, 0)
the y intercept is at point (0, 100)
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
Answers
Answer:
-x^2+2x-3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
-x^2+2x-3
Answer:
The fourth answer
Step-by-step explanation:
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
The fourth answer
A spring with a 10-kg mass and a damping constant 15 can be held stretched 1 meters beyond its natural length by a force of 2 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c^2 - 4mk? _________ m^2 kg^2/sec^2.
Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c_1 e^alpha t + c_2 e^beta t where alpha = (the larger of the two) beta = (the smaller of the two) c_1 = _______c_2 =______.
Answers
Answer:7.5=−k(2.5)−7.52.5=kma=−7.5x2.5my′′+9y′+−3y=0,y(0)=2.5,y(5)=0−9±81+4(m)(3)−−−−−−−−−−−√2m−92m±81+12m−−−−−−−−√2my=Ae−(9/2)xcos(81+12m−−−−−−−−√2mx)+Be−(9/2)xsin(81+12m−−−−−−−−√2mx)2.5=A+B⋅00=(2.5)e−45/2cos(81+12m−−−−−−−−√52m)+Be−45/2sin(81+12m−−−−−−−−√52m)
Step-by-step explanation:
THE graph of f(x), shown below has the same shape as the graph of G(x)=3x^2, but it is shifted down 1 unit, what is the equation
Answers
Answer:
[tex]3x^2-1[/tex]
Step-by-step explanation:
The segment joining the two legs of a trapezoid is called
Select one:
a. an altitude
O b. a median
O c. a base
Answers
Answer:
Base
Step-by-step explanation:
The segment joining the two legs of a trapezoid is called base
There’s 2 arcade areas and 1 swimming pool. What is the arcade area to swimming pool ratio?.
Answers
Answer:
Yeah, the person above me is right. It's 2:1
Step-by-step explanation:
There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement.
Also the ratio is a unitless(no units) quantity.
There are 2 arcade areas and 1 swimming pool.
The arcade area to swimming pool ratio is 2: 1.
Learn more about ratios here:
brainly.com/question/186659
#SPJ2
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 6 milliliters (ml) and a standard deviation of 0.4 ml. Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
a. 4.464 ml.
b. 4.836 ml.
c. 4.936 ml.
d. 4.964 ml.
e. 5.536 ml.
Answers
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that [tex]\mu = 6, \sigma = 0.4[/tex]
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 6}{0.4}[/tex]
[tex]X - 6 = 1.28*0.4[/tex]
[tex]X = 6.512[/tex]
The 90th percentile of the distribution is 6.512 ml.
king monatla surprised his wife on birthday by buying her 55 inch television set.the repayment period is 36 months and the monthly installment is R570,00
write down the item number of the television
Answers
Answer:
The final price of the television set is $ 20,520.
Step-by-step explanation:
Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:
570 x 36 = X
20.520 = X
Therefore, the final price of the television set is $ 20,520.
PLEASE HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:
f(x) = 29,000(0.88)x
What does 0.88 represent?
The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%
Answers
Answer:
The decrease in the value of the truck, which is 12%
Step-by-step explanation:
f(x) = 29,000(0.88)^x
This is an exponential function of the form
y = ab^x
a is the initial value
b is the growth(decay) rate
x is the time
Since b is less than 1, we know it is decay
To find the rate
1-b = rate
1-.88 = .12
The decay rate is .12*100% = 12 %
Answer:
its A:The decrease in the value of the truck, which is 12%
Step-by-step explanation:
i got this correct
Simplify equations HELP NOW!!
Answers
Answer:
[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]
[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]
Step-by-step explanation:
[tex]\frac{1}{5} (2x+10)=4[/tex]
Multiply both sides of the equation by 5.
5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4
Simplify both sides of the equation.
[tex]2x+10=20[/tex]
Subtract 10 from both sides of the equation.
[tex]2x=10[/tex]
Divide each term by 2 and simplify.
[tex]x=5[/tex]
--------------------------------------------------------------------
[tex]\frac{1}{3} (3x+9)=9[/tex]
Substitute x for 6
[tex]\frac{1}{3} (3(6)+9)=9[/tex]
Multiply 3 · 6
[tex]\frac{1}{3} ((18)+9)=9[/tex]
Add 18 + 9
[tex]\frac{1}{3} (27)=9[/tex]
Divide [tex]\frac{1}{3}[/tex] ÷ 27
9 = 9
I WILL GIVE BRAINLIEST TO THE BEST AND CORRECT ANSWER
Choose all the statements that are true.
1. 15 pt<2 gal
2. 1 gal<5 qt
3. 12 fl oz> 2 c
4. 2 qt 1 c>10 c
5. 20 pt = 10 qt
Answers
Answer:
the answer should be 3 and 5 :)
Step-by-step explanation:
the answer speaks for itself
Factor.
x*2+11x+28
please give me the answer
Answers
Answer:
(x+4)(x+11)
Step-by-step explanation:
x^2+11x+28
What two numbers multiply to 28 and add to 11
4*7 =28
4+11
(x+4)(x+11)
Answer:
(x + 4)(x + 11)
I agree with wegner
bye
ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?
it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol
Answers
Answer
Factors of production are the resources people use to produce goods and services; they are the building blocks of the economy. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship.
In my opinion, labor, capital & entrepreneurship are factors of production
Rachel is solving the system of equations below by using the elimination method. Which of the following steps could she use? 7x-21y=14. 2x+3y=11
Answers
Answer:
[tex]7x - 21y = 14 - - - (a) \\ 2x + 3y = 11 - - - (b) \\ (a) + 7 \times (b) : \\ 21x + 0y = 91 \\ x = 4.33 \\ (2 \times 4.33) + 3y = 11 \\ 3y = 2.34 \\ y = 0.78 \\ { \boxed{x = 4.33}} \\ { \boxed{y = 0.78}}[/tex]
A medical equipment industry manufactures x-ray machines. The unit cost C( the cost in dollars to make each x -ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.2x^2-100x+31,146.what is the minimum unit cost.
Answers
Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646
HELP PLEASE WILL MARL BRAINLIEST
Answers
Answer:
b, a, c
Step-by-step explanation:
In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.
This triangle has 3 given side lengths: 3 ft, 5 ft, and 7 ft.
The largest angle is opposite the longest side. That is angle b.
The smallest angle is opposite the shortest side. That is angle c.
The order from largest to smallest angle is
b, a, c
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answers
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147