Answers
Answer:
[tex]\huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]
Step-by-step explanation:
[tex]\sin \angle ABC =\frac{p}{30}......(1)[/tex] (Given)In [tex] \triangle ABC,[/tex] sin ratio of [tex] \angle ABC[/tex] can be given as:[tex]\sin \angle ABC =\frac{AC}{AB}[/tex][tex]\implies \sin \angle ABC =\frac{2p+10}{80}......(2)[/tex]From equations (1) and (2), we find:[tex] \frac{p}{30}=\frac{2p+10}{80}[/tex][tex]\implies 80(p)=30(2p+10)[/tex][tex]\implies 80p=60p+300[/tex][tex]\implies 80p-60p=300[/tex][tex]\implies 20p=300[/tex][tex]\implies p=\frac{300}{20}[/tex][tex]\implies p=15[/tex][tex]\implies \sin \angle ABC =\frac{15}{30}[/tex][tex]\implies \sin \angle ABC =\frac{1}{2}[/tex][tex]\implies \sin \angle ABC =\sin 30\degree\:\:\:\:(\because \sin 30\degree=\frac{1}{2})[/tex][tex]\implies \huge{\red{\angle ABC = \boxed{30}\degree}}[/tex]Related Questions
A charity received 240 donations. The total amount received was 7,680. If x represents the average donation, which THREE statements are
correct?
Answers
Answer:
x=32
Step-by-step explanation:
°116°
56
f
What is the degree measure of f?.
Answers
Answer:
C. 60
Step-by-step explanation:
christian is trown into a swimming pool his mass is 62,000g and his volume is 68,000cm3 what would his density be? (Show solution)
Answers
Answer:
0.91 g/cm³
Step-by-step explanation:
Density Formula
Density = Mass/VolumeSolving
Density = 62,000 g / 68,000 cm³Density = 31/34 g/cm³Density = 0.91 g/cm³The expression above can also be written in the form a=, b=,c=. 3 6/5
The expression above can also be written in the form .
For this expression, a =
, b =
, and c =
.
Answers
The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm = 3^{\dfrac{6}{5}}[/tex]
We can write it as:
[tex]\rm = \sqrt[5]{3^6}[/tex]
The value of a = 3,
The value of b = 6, and
The value of c = 5
Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
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How many integers are between the numbers a = - 6.52 and b = 6.98?
Answers
Answer:
-13.5
Step-by-step explanation:
-6.52-6.98=-13.5
Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side JG.
Round your answer to the nearest tenth if necessary.
Answers
Answer: 30.5
Step-by-step explanation:
please help i have no idea what to do
Answers
Answer: D) 80 degrees
Step-by-step explanation:
Calculate the range of the data set
33,38,35.5,39.25,31.75
Answers
The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.
To calculate the range of a data set, you need to find the difference between the maximum and minimum values.
Given the data set: 33, 38, 35.5, 39.25, 31.75
To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.
To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.
Now, we can calculate the range by subtracting the minimum value from the maximum value:
Range = Maximum value - Minimum value
= 39.25 - 31.75
= 7.5
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Hi! really need help with my math and its due tmrw please helppp Also make sure
to slide over to see the other problems sorry if its glitchy.
Answers
Answer:
The value of x is equal to 109
Which describes the process of finding the volume of a cylinder? (Help ASAP)
Answers
For how many values of x does f(x) = g(x), on the graph shown
below?
a. 0
b. 2
c. 3
d. 6
Answers
Answer:
the answer is C
Step-by-step explanation:
as you can see f(x) cut g(x) 3 time ( sorry for my bad English )
hhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
i think its D.
Step-by-step explanation:
i just counted
A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm find the thickness of each sheet of paper answer in millimeters
Answers
Volume 1 sheet: 3742.2cm : 500 = 7.4844cm
So thickness of 1 sheet: 7.4844cm : 623.7cm = 0.012cm X 10 = 0.12mm
So the thickness of each sheet of paper is 0.12mm
The thickness of each sheet of paper is 0.0012mm.
To find the thickness of each sheet of paper answer in millimeters.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.
To convert cm in mm.
3742.2cm=37422 mm
Surface 1 sheet:
(297mm) X 210mm) =
62370[tex]mm^{2}[/tex]
Volume 1 sheet:
37422mm : 500 =
74.844mm
Thickness of 1 sheet:
74.844mm : 62370mm =
0.0012mm
So, the thickness of each sheet of paper is 0.0012mm.
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You are playing a game that uses two fair number cubes. If the total on the number cubes is either 2 or 5 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Answers
Answer:
13.9%
Explanation:
Rolling for 2 : (1, 1)
Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)
So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes
Note: There are 36 outcomes when rolling a two fair cubes.
[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]
[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]
[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]
[tex]\rightarrow \sf 13.9 \%[/tex]
If f(1)=1f(1)=1 and f(n)=f(n-1)^(2)-1f(n)=f(n-1)
2
-1 then find the value of f(4)f(4).
Answers
Answer:
f(4) = 0
Step-by-step explanation:
For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.
givenf(1) = 1f(n) = f(n -1)² -1findf(4)solutionThe next term after the one given is ...
f(2) = f(1)² -1 = 1² -1 = 0
Then we have ...
f(3) = f(2)² -1 = 0² -1 = -1
f(4) = f(3)² -1 = (-1)² -1 = 0
The value of f(4) is 0.
_____
Additional comment
Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:
f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2
GR. 9 QUESTION 1/ VRAAG 1: Simplify the following: / Vereenvoudig die volgende: 1.1 -8xy-6xz + 10xy + 9xz - 4yx
1.2 m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1
Answers
Answer:
Below in bold.
Step-by-step explanation:
-8xy-6xz + 10xy + 9xz - 4yx (Note 4yx = 4xy)
Bringing like terms together we have:
-8xy + 10xy - 4xy - 6xz + 9xz
= -2xy + 3xz.
m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1
= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1
= -4m² - 9m + 3.
GIVING BRAINLIEST!!!!!
Answers
Answer:
The first answer is correct
Step-by-step explanation:
< O Z Q = < O Z P + < Q Z P
Given that,
< O Z Q = 12x - 4
< O Z P = 6x + 4
< Q Z P = 3x + 10
Let us solve it now.
< O Z Q = < O Z P + < Q Z P
12x - 4 = 6x + 4 + 3x + 10
Combine like terms and make the x as the subject.
12x - 4 = 9x + 14
12x - 9x - 4 = 14
3x - 4 = 14
3x = 14 + 4
3x = 18
Divide both sides by 3.
x = 6
1.3b + 2 = 12.4 what is b?
Answers
Answer:
b = 8
Step-by-step explanation:
1.3b + 2 = 12.4
- Subtract 2 from both sides
1.3b = 12.4 - 2
- Subtract 2 from 12.4 to get 10.4.
1.3b = 10.4
- Divide both sides by 1.3.
b = [tex]\frac{10.4}{13}[/tex]
- Expand [tex]\frac{10.4}{13}[/tex] by multiplying both numerator and the denominator by 10.
[tex]b = \frac{104}{13}[/tex]
- Divide 104 by 13 to get 8.
How do you write 7.4 × 10–2 in standard form?
Answers
Answer:
740
Step-by-step explanation:
10^2 = 100
So 7.4 * 10^2
= 740
In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them
play baseball. There are 2 students who play both sports. What is the probability tha
a student chosen randomly from the class plays basketball or baseball?
Answers
Answer: 19/28
Step-by-step explanation:
p(student plays basketball)= 14/28
p(student plays baseball)= 7/28
2 students play both sports= 2/28
⇒ 14/28+ 7/28 - 2/28 = 19/28
I need help with this, and a step by step explaination would be very helpful! Thank you!
Answers
Answer:
18
Step-by-step explanation:
The summation symbol is telling you there are 4 terms of the sum. The values of x in the terms range from 1 to 4.
__
The expanded form of the sum is ...
(1 +2) +(2 +2) +(3 +2) +(4 +2)
= 3 +4 +5 +6 = 18
The sum is 18.
_____
Additional comment
The sum can be rewritten as ...
[tex]\displaystyle \sum_{x=1}^4{(x+2)}=\sum_{x=1}^4{x}+\sum_{x=1}^4{2}=\dfrac{4(4+1)}{2}+4\times2=10+8=\boxed{18}[/tex]
This way, you need to know the sum of integers from 1 to n is (n/2)(n+1). It may be easier just to write the terms out as we have done above.
Find each measurement indicated. Round your answer to the nearest tenth.
Answers
The measure of the angle B is 30 degree after applying the sin law of triangle.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B
[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]
SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
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YOUR HELP WOULD BE MUCH APRECIATED!!!!!!!!!
Answers
[tex]y = 4^{-2}[/tex] = [tex]\frac{1}{16}[/tex]
[tex]y = 4^ {1}[/tex] = [tex]\\ 4[/tex]
[tex]y = 4^{3}[/tex] = [tex]\\ 64[/tex]
A recipie requires 3/4 lbs of onions to make 3 servings of soup. Mark has 1 1/2 lbs of onions. How many servings can Mark make?
Answers
Answer:
4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps
Step-by-step explanation:
Find f(5)+j(-2) if f(x)=12-3x and j(x)=x² + 4x - 1.
Answers
Answer:
-8
Step-by-step explanation:
Put the given values where the corresponding variables are, and do the arithmetic.
__
first functionf(x) = 12 -3x
f(5) = 12 -3(5) = -3
__
second functionj(x) = x² +4x -1 = (x +4)x -1
j(-2) = (-2 +4)(-2) -1 = 2(-2) -1 = -5
__
compositionf(5) +j(-2) = -3 +(-5) = -8
A new car is purchased for \$49,000$49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 11 years after it was purchased, to the nearest hundred dollars?
Answers
Set it up like 49000(1-0.05)^11
9. Use the Desmos graphing calculator to find slope and y-intercept for the least-squares
regression line for the dataset in the table:
xy
31
45
8 11
10 21
m= 2.55, b= 6.435
m=1.477, b=1.477
m= 1.698, b-0
m=2.55, 6-6.435
Answers
Answer:
D) m=2.55, b=-6.435
Step-by-step explanation:
See attached file ("a" represents the slope and "b" represents the y-intercept).
This graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
-10 -8
10
-10
A. There is a solution, and it is shown by region B.
B. There is a solution, and it is shown by region C.
C. There is a solution, and it is shown by region A.
D. There is no solution.
B2
4
FO
C
00
Answers
The system of inequalities have no solutions, option D is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
We have to find the system of inequalities have solutions has solutions or not
As we observe the graphs y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.
So the two inequalities does not have solution
Hence, the system of inequalities have no solutions, opton D is correct.
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Becky spent h hours studying
plus an additional 2 hours
typing a report for the week. If
her total studying and work
time was 6.5 hours, how many
hours did she study for?
Write an equation to solve.
Answers
Answer:
6.5 = h + 2
h = 4.5
Step-by-step explanation:
We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5
Hector would also like to see a professional sumo tournament while he is there, which would cost him ¥5,488. if the conversion rate of us dollars to japanese yen is 1:94.153 at the time of hector’s trip, how will this affect his budget? a. hector can see the sumo tournament and have about $322 left over. b. hector can see the sumo tournament and have about $86 left over. c. hector has exactly enough left in his budget to see the sumo tournament. d. hector cannot afford to see the sumo tournament, because it would put him over budget by almost $12.
Answers
Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.
How to find cost of Victor's tournament?Amount with Victor = $380Conversion rate of US dollars to Japanese yen = 1 : 94.153
Cost of the trip = ¥5,488Ratio of dollar to Yuan
1 : 94.153 = x : 5,488
1/94.153 = x / 5,488
cross product1 × 5,488 = 94.153x
5,488 = 94.153x
x = 5,488 / 94.153
x = 58.2881055303601
Approximately,
x = $58
Amount left with Victor = Total money with Victor - amount spent
= $380 - $58
= $322
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