Step-by-step explanation:
3x+9+4x-3+8x-6=180
15x=180
x=12
angle 1= 3x+9=36+9=45°
angle 2=4x-3=48-3=45°
angle 3=8x-6=96-6=90°
1) it's right triangle
2) it's isosceles triangle
6+2(3x4) divide 2 + 3-4
Step-by-step explanation:
hope it is helpful to you
How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?
Given:
Principal = R573.00
Rate of interest = 9.3% annually
Time = 15 years.
To find:
The amount after 15 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.
The interest is compounded annually, so n=1.
Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get
[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]
[tex]A=573\left(1+0.093\right)^{15}[/tex]
[tex]A=573\left(1.093\right)^{15}[/tex]
[tex]A=2174.98893[/tex]
[tex]A\approx 2174.99[/tex]
Therefore, the amount in the account after 15 years is about R2174.99.
Similar Triangles
A cell phone tower in a field casts a shadow of 100ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)
a. 145 ft
b. 76 ft
c. 100 ft
d. 135 ft
Please select the best answer from the choices provided
Answer:
D. 135 ft
Step-by-step explanation:
I calculated it logically
Answer Plz if u got correct plz go to next reward question for 100 pints
Answer:
A) 1320 yeards
Step-by-step explanation:
.25 mile is 440 yards so js multiply by 3
A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?
Ling's elementary school principal wants to hire some new teachers. 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job. There is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job. How many different ways can Ling's principal hire new teachers?
Answer:
Ling's principal can hire new teachers in 54 different ways.
Step-by-step explanation:
Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:
6 x 3 x 3 = X
18 x 3 = X
54 = X
Therefore, Ling's principal can hire new teachers in 54 different ways.
01:14:51 A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on a number that is greater than 5? 1 13 o colo 100 Next Submit Save and Exit Mark this and return
Answer:
the probability is 3/8
Step-by-step explanation:
A smaller box of cereal is $2.89 for 14.5 oz. The family size is $4.99
for 30 oz. Which is the better deal? explain.
Answer:
the better deal will be the family size for $4.99 and 30oz, because the family box come with 30oz per box and with that many oz it can be shared by the family depending on how much cereal they they get.
Step-by-step explanation:
Can someone answer this for me
Answer:
A
Step-by-step explanation:
Only a can be the answer
Answer:
A
Step-by-step explanation:
it's the only one that seems right
A researcher surveyed 8 people to see if there is a
relationship between years of education and starting
salaries. The data points are shown on the graph.
Which best represents the equation of the trend line
shown on the graph? (Note that the graph has a break
on the y axis
Answer: D.) y=1.25x + 7.5
Step-by-step explanation:
edg 2021
Answer: D on edg 2021. have a good day :)
Pleas hlp am going to fail here are the options
Answer:
10+2b
Step-by-step explanation:
do 2(b+3)
2xb + 2x3
2b+6
4+(2b+6)
10+2b
hope that helped
WILL GIVE
BRAINLIST
...
.
Answer:
b. gain of 279 pounds
Step-by-step explanation:
107+85-27+114 = 279
Answer:
9100 + 107 + 85 - 27 + 114
Total weight = a. 9379 pounds
how much would be in your savings account in 11 years after depositing $150 today if the bank pays 7% a year
Jenna made $200 during the weekend she plans to give 10% to the church and put 40% and her saving accounts how much will she give to the church and how much will she have
Answer: 100
Step-by-step explanation:
200*10% or 200 * 0.10= 20
do the same for savings account 200*40%= 80
20 +80 = 100 subtract that from 200 she has 100 left.
One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+ r)
A mountain climber ascends hundred feet per hour from his original position. after six hours is fine opposition is 11,600 feet above the sea find climbers original position
Answer:
Original position =6,800 feet.
800 (ft per hour) x 6(hours) =4800 ft
11,600-4,800=6,800 feet
Step-by-step explanation:
A) Find the 15th term of a linear sequence (AP) whose 5th term is 30 and 20th term is
75.
B) The second and the fourth terms of an exponential sequence (GP) of positive terms
are 9 and 4 respectively. Find
D) The common ratio;
i) The first term
2. Solve for x and y in the following equations: 2(x+4y) = 1.22+8y
Answer:
A) 60
B) Common ratio, r, = 2/3
The first term, a, = 13.5
Step-by-step explanation:
A)
The formula for the nth term of a linear sequence is an+b. So we can say:
30=5a+b
75=20a+b
which means
b=30-5a
b=75-20a
30-5a=75-20a
15a=45
a=3
30=5(3)+b
b=30-15=15
So our formula is 3n+15. Sub in 15 for n to find the 15th term: 3(15)+15=45+15=69
B)
The formula for the nth term of an exponential sequence is arⁿ⁻¹, where a is the first term of the sequence and r is the common ratio. Therefore we can say: 9=ar, and 4=ar³, which means a=9/r and a=4/r³
9/r=4/r³
9r³=4r
9r²=4
r=√(4/9)=2/3
9=a(2/3)
a=27/2=13.5
please help me i don’t have much long on this test
Answer:
C. 248 square meters
Step-by-step explanation:
2(10 x 6) + 2(10 x 4) + 2(6 x 4)
= 120 + 80 + 48
= 248 [tex]m^2[/tex]
Answer:
c. 248
Step-by-step explanation:
2(6×4 + 10×4 +10×6) = 248
Determine the equation of the quadratic function shown below.
A student's four test scores were 88, 91, 93 and 86. What score would be needed on a fifth test to obtain a mean of 90 for all five test?
A. 90
B. 92
C. 95
D. 96
Answer:
92
Step-by-step explanation:
88 + 91 + 93 + 86 = 358
90*5 = 450
therefore the fifth test has to be 450 - 358 = 92
The survey was done to test the suggestion that the proportion of younger adults who use their horn is greater than the proportion of older adults who use their horn. Which of the following represents the hypotheses that we will be testing, assuming that p1 represents the population proportion of all young adults 20-39 who report using their horns and that p2 represents the population proportion of all older adults 60+ who report using their horns?
a. H0: p1=p2 versus Ha: p1>p2
b. H0: p1=p2 versus Ha: p1
c. H0: p1=p2 versus Ha: p2>p1
d. H0: p1=p2 versus Ha: p1=/=p2
Answer:
a. H0: p1=p2 versus Ha: p1>p2
Step-by-step explanation:
Given that
p1 represent the proportion of the population for young allots 20-39
And, p2 denotes the proportion of the population for all older adults that are above 60
So,
We need to find out the hypotheses
The null & alternative hypothesis is
H_o: P_1 = P_2
H_a: P_1>P_2
This shows the right tailed test
A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a number of games
Find a function rule for the line that passes through the origin (0,0) and the point (-8, -19)
Answer:
B.
[tex]y = \frac{19}{8} x[/tex]
Step-by-step explanation:
Our slope is Rise over Run. In this case begin at the point (-8,-19) and find how many units up (rise) and how many units over (run) you must travel to reach the next point of (0,0).
What is the following quotient?
6square + 11square divided by
5square +3 square
HELP ILL GIVE YOU BRAINLIEST AND A FOLLOW
what does x=?
Answer:
#1: x=8, #2: x=21, #3: x=9
Step-by-step explanation:
So, to solve each of these x's, we need to do two things:
Find the scale factor
Then scale for x.
So lets start off with the first one.
We have a side value fo 3.
In the scaled version, we have the same side with a value of 6.
To find the scale, divide the 6 by 3:
6/3
=
2
So our scale is 2.
Next, lets look at our value on the traingle we know, and solve for the unkown x. We know that on the orginal traingle, its 4. For the version thats 2 times bigger, its x
So to solve this, multiply the 4 by 2:
4*2
=
8
This is your x value for the first question.
Next we have the side value 12 for the trapezoid. For the one next to it, the trapezoid has the same side with a value of 18.
To find the scale, lets divide 18 by 12.
18/12
=
1.5
That is our scale factor.
In these trapezoids, the bottom value is orginally 14.
In the scaled version, which we know is 1.5 times bigger, we have x.
To solve for x, lets multiply the 14 by 1,5:
14*1.5
=
21
So we know our x is 21 for the second answer.
Finally we have the third question.
This one is opposite to the last ones, where the smaller value has the missing x value.
Here our top side value is 20.
On the scaled version it is 15.
Lets divide 15 by 20, instead of what we normally do. Which would have been 20 by 15:
15/20
=
.75
Now, with this scale factor, our x will be smaller than the known value. Looking at the side length, the orginal value is 12.
On the scaled side length that is 0.75 times as big, its x
So lets multiply 12 by 0.75:
12*0.75
=
9
So this is your last x value, for your third answer!
This might seem long and tedious, but its actually a simple way of thinking about it, and you may find that you can quickly do this in your head, instead of a shorter, more complex way.
Hope this helps!
another khan academy pls
Answer:
89
Step-by-step explanation:
3 consecutive numbers can be:
[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)
The sum is all of them added, so
[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]
90 is the middle number though, so the first number is 89
Answer:
88, 90, 92
Step-by-step explanation:
I hop this is right can you pls answer this question khan academy.
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units
Thank you
The average salary for all 27 Arizona Diamondbacks in the 2005 baseball season was $2,308,488, with a standard deviation of $3,427,508. The population, all National League baseball players in 2005, earned an average salary of $2,585,804, with a standard deviation of $3,500,708. Does the average salary of the Diamondbacks players differ from that of all players in the National League
Answer:
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
Step-by-step explanation:
1) Formulate null and alternate hypothesis
H0: u1= u2 Ha: u1 ≠ u2
The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League
against the claim
that the average salary of the Diamondbacks players differ from that of all players in the National League
The data given is
x1`= $2,308,488, s1= $3,427,508 and n1 = 27
x2`= $2,585,804, s2=$3,500,708 and n2 = 27
2) The test statistic is
z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)
Putting the values
z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)
z= -0.294
3) The significance level is 0.05
The critical region is Z =±1.96
4) Since the calculated value of z= -0.294 is less than the z ∝=±1.96 we do not reject H0.
5) the P-value can be calculated using the calculator.
The p-value is p = 0.7687
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.
Answer:
The LCL for a 90% confidence interval for p is 0.82.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.
find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-1/2x-4
Answer:
y = 2x - 3
Step-by-step explanation:
The negative recipricol is -1/(-1/2) = 2
Use point-slope equation:
y-y1 = m(x-x1)
x1 = 3, y1=3
y-3 = 2(x-3)
y-3 = 2x-6
y = 2x-3
given the degree of measure of angle KJH is 66 degrees find the measure in radians
9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
__
11/30 = 0.366... repeating, so would normally be rounded to 0.367