Answer:
because SRC is the outer angle of the triangle STR
=> SRC = STR + TSR
<=> 101 = 4x + 12 + 7x + 12
<=> 101 = 11x + 24
=> 11x = 77
<=> x = 7
Answer:
7
Step-by-step explanation:
➝4x+12+7x+12=101°
➝4x+7x+12+12=101°
➝11x+24=101°
➝11x=101-24
➝11x=77
➝x=77/11
➝x=7
Which of the following is equivalent to
36
?
O _18
-6
1
18
1
6
Answer: 1/6
Step-by-step explanation: It was the first question on my quiz, hope it helped:)
The equivalent value of the expression [tex]36^{-(\frac{1}{2})[/tex] is, 1/6.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An expression [tex]36^{-(\frac{1}{2})[/tex].
We know, 6×6 = 36 = 6².
Therefore, [tex]36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})[/tex].
[tex](6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})[/tex].
= 6⁻¹.
= 1/6.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ7
The solution set of 12 x squared minus 14 x equals 10 is
The given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the statement as -
"12 x squared minus 14 x equals 10"
The given function can be written as -
f(x) = 12x² - 14x - 10
Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -
(x + 1/2)(x - 1.667) = 0
(x + 1/2) = 0 and (x - 1.667) = 0
x = -1/2 and x = 1.667
Therefore, the given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
To solve more questions on quadratic equations, visit the link below -
brainly.com/question/22412845
#SPJ1
Help please. Much appreciated
Answer:
1=90, 2=53,3=37, 4=53 As sum of angles in triangle 180°
Tell whether the angles are adjacent or vertical. Then find the value of x.
10. Find the range, mean, median, and mode of the following data set. 15, 22, 14, 3, 11, 9, 3 a. Range 19 Mean 11 Median 3 Mode 3 c. Range 21 Mean 11 Median 11 Mode 14 b. Range 19 Mean 11 Median 11 Mode 3 I d. Range 19 Mean 111 Median 10.5 Mode 3
Answer:
Range: 19
Mean: 11
Median: 11
Mode: 3
multiply 5/12 and the multiplicative inverse of -1/4
Answer:
The answer is -2
Step-by-step explanation:
Hope it helps :)
I NEED HELP. PLS ANSWER IF YOU KNOW HOW TO SOLVE COMPOSITE FIGURES!
A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored
230, 540, 420, 430, 540, 560, 275, 50, 250
Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?
Joey needs to score more than 540 points, to be higher than
70th percentile of all scores.
What is percentile?Percentile is defined as the value below which a given percentage falls under.
Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.
The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.
Given,
Scores of first 9 players:
230, 540, 420, 430, 540, 560, 275, 50, 250
let the score of joey be x.
Scores of all 10 players
230, 540, 420, 430, 540, 560, 275, 50, 250
Dataset in ascending order =
50, 230, 250, 275, 420, 430, 540, 540, 560
70th percentile of the dataset
k = 70
i = the index
n = total number of given data values = 10
i = k/100(n+1)
i = 70/100 (9+1)
i = 70 × 10/100
i = 7
The index of 70th percentile = 7
value of 70th percentile = value of data on index 7.
value of 70th percentile = 540.
Hence, To be higher than 70th percentile of all scores,
Joey should score more than 540.
Learn more about percentile here:
https://brainly.com/question/1561673
#SPJ1
Elise randomly surveyed students at her school to find out their favorite music. the table shows the results if Elise’s survey. if there are 400 students at Elise’s school, how many can she predict will like pop the best?
Answer:
125 students
Step-by-step explanation:
according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best
set up a proportion to find how many students will like pop if there are 400 students at her school:
25/80=x/400
80x=10000
x=125
125 students
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
How much space in cubic feet is left inside the closet around the box?
Enter your answer in the box.
ft³
Answer:
78 cm³ of space is left inside the closet.
Step-by-step explanation:
Given that,
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
We need to find the space is left inside the closet around the box.
Space left = volume of the closet - volume of the box
= 5×3×6 - 2×3×2
= 90 - 12
= 78 cm³
So, 78 cm³ of space is left inside the closet.
Translate the following written expression into an algebraic expression:
"The difference of y and 5, divided by 2"
Answer:
(y-5) ÷ 2
Step-by-step explanation:
The height of a rock climbing wall is 137 feet. How many feet has Sara climbed when she is
48 from the top of the wall?
Answer:
137 - 48 = 89, so she climbed 89
Step-by-step explanation:
Any help would be appreciated! :)
Answer:
-7, then -13, then -19
Step-by-step explanation:
Plug in x values to get y.
y = -2(0) - 7
y = 0 - 7
y = -7
y = -2(3) - 7
y = -6 - 7
y = -13
y = -2(6) - 7
y = -12 - 7
y = -19
Hope this helps. :0)
Getting a sum of either 5, 11, or 12 on a roll of two dice.
Can someone please explain what I need to do in order to go about solving this problem?
9514 1404 393
Answer:
7/36
Step-by-step explanation:
It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.
You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.
Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.
P(5, 11, or 12) = 7/36
PLEASE TRY YOUR BEST ON THESE
I could really use the help on these questions
Please give me a good answer:)
15 points
Answer:
hey i can help if you want it
Step-by-step explanation:
Using data from 50 workers, a researcher estimates Wage = β0 + β1Education + β2Experience + β3Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. The regression results are shown in the following table.
Coefficients Standard Error t Stat p-Value
Intercept 7.45 3.79 1.97 0.0554
Education 1.06 0.37 2.86 0.0063
Experience 0.37 0.18 2.06 0.0455
Age −0.02 0.06 −0.33 0.7404
Interpret the point estimate for β1.
A. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour.
B. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour.
C. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant.
D. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant.
Does anunify know this ?Simplify and round the answer to the nearest hundreths place
The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical [tex]\sqrt[5]{1215}[/tex].
Now we'll prime factor 1215.
= [tex]\sqrt[5]{5\times243}[/tex]
= [tex]\sqrt[5]{5\times3\times81}[/tex].
= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].
= [tex]3\sqrt[5]{5}[/tex].
learn more about surds and indices here :
https://brainly.com/question/30069850
#SPJ1
For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one time mailing fee of 5.95. Based on the information in the table, what will be the total cost for an order for 280 cards?
Answer: $1794.28
Step-by-step explanation:
280*5.95= 1666
0.077*1666= 128.282
1666+128.282= 1794.282
We round cause its money
Write three ratios that are equivalent to 75% and three
ratios that are equivalent to 100%.
The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4 and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
What is ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
First we have to write the equivalent ratios for 75%.
Since, 75% can be written as,
75/100
Simplifying this, 15/20
Again simplifying this, 3/4
Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.
Now to write the equivalent ratios for 100%.
Since, 100% can be written as,
100/100
Simplifying this, 20/20
Again simplifying this, 4/4
Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
Therefore, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4 and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
To know more about ratio, click on the link
https://brainly.com/question/12024093
#SPJ1
A triangular side panel for a roof has the dimensions shown.
26 ft
30°
What is the approximate area, in square feet, of the side panel?
OA.
О в.
O C.
O D.
239
146.4
119.5
60°
292.7
Answer:
d
Step-by-step explanation:
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Examine the rotation. Which best describes point D?
Solve for x. 6x−24=x−2
OPTIONS:
Enter answer in the box!
X = [?]
Answer:
point A
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Using the Pythagorean theorem, a^2 + b^2 = c^2
54^2 + 72^2 = 8100
c^2 = 8100
[tex]\sqrt{8100}[/tex] = 90
90 = c
help with explanation if possible
Answer: 448
Step-by-step explanation: Parallelogram formula base times height
lol sorry im being supperrrrrr lazy rn
i need to solve this so can you pls hlp
Answer: D
Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.
So 150x(the number of tractors) + 1000(his pay each month)
2(3х + 9) what the answer plz help
Answer:
6x + 18
Step-by-step explanation:
2(3х + 9)
6x + 18
2 * 3x = 6x
2 * 9 = 18
5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
To know more about trigonometry , visit
brainly.com/question/12068045
#SPJ1
pleaseee help with these questions
Answer:
3. 56.8 inches
4. 314.2 yards
5. 1809.6 meters
6. 265 centimeters
What is m∠4 + m∠5 + m∠6?
180
270
300
360
Answer:360°
Step-by-step explanation:
Answer: D:360
Step-by-step explanation: