If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?
Answers
Answer:
r = 14,8
Step-by-step explanation:
Hope you can read my writing ;-)
The length that can be found using the Law of Sine rule is
r= 14.80 units
What is the lenght?Generally,
Generally, the equation for sin rule is mathematically given as
[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]
Where
p = 9.5 units
∠P = 27°
∠R = 135°
Therefore
[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]
[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]
9.5 x 0.7071 = r x 0.4540
r = 14.80 units
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Related Questions
Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?
WHOEVER ANSWERS QUICKEST WITH THE CORRECT ANSWER WILL BE BRAINLIEST!!
Answers
Answer:
[tex]-\dfrac67[/tex]
Step-by-step explanation:
slope of r:
[tex]a_r=\dfrac{10-3}{8-2}=\dfrac76[/tex]
s is perpendicular to r:
[tex]s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67[/tex]
Which number is a rational number, but not an integer? - 144−−−√- square root 218/12 184/4 99
Answers
Answer:
184/4
Step-by-step explanation:
A rational number is a number in the form p/q where the numerator and denominator (p and q) are both integers but the denominator q is not equal to zero (q ≠ 0)
An integer is a whole number (not fractional) that is either positive, negative or zero.
From the question:
-144 is an integer because it is a negative whole number. Also -144 can be represented as -144 / 1, hence it is a rational number
√218/12 is neither a rational number or integer
184/4 is not an integer because it is not a whole number. 184/4 is a rational number
99 is an integer because it is a positive whole number. Also 99 can be represented as 99 / 1, hence it is a rational number
Find the difference of 268.75 and -46.99
Answers
Answer:
315.74
Step-by-step explanation:
=268.75−(−46.99)
=268.75+46.99
=315.74
Select the equivalent expression. (a^-3/b^2)^4=? Choose 1 answer: A. b^2/a^7 B. (b/a)^20 C. 1/a^12*b^8
Answers
Answer:
1
C = --------
a¹² b⁸
Step-by-step explanation:
(a⁻³/b²)⁴
( (1/a³) / (b²))⁴
( 1/a³ ÷ b² )⁴
therefore,
1
= ------
a¹² b⁸
What is the product of 50x 0.08
Answers
Answer:
the answer to your question is simply
Step-by-step explanation:
4
The answer is 4
Hope this helps:)
Please help me with this question, as soon as possible.
Answers
Answer:
B y is 3/4 of (x+y)
Step-by-step explanation:
a : is the same thing as a division sign or a fraction bar
so 1 : 3 = 1/3
this ratio says that for every 1 of x, there are 3 y's.
so 1x = 3y or y = 1/3x
x = 1; y = 3
x + y = 4
y / (x+y)
3 / 4
y is 3/4 of (x+y)
Isaac applied the steps below to find the product of (4.2)(-5.4).
Step 1: (4.2)-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
= -22.68
Which step shows where Isaac applied the distributive property?
Step 1
Step 2
Step 3
Step 4
Answers
Answer: Hey There!!
The answer to this is Step 2: Distributive Property: a(b + 3) = ab + ac
Isaac's Steps are outlined below:
Step 1: (4.2) (-54) = (-54) (4.2)
Step 2: = (-5.4) (4) + (-5.4) (0.2)
Step 3: = (-21.6) + (-1.08)
Step 4: = 22.68
We observe that in Step 2:
(-5.4) (4.2) = (-5.4) (4 × 0.2) = (-5.4) (4) + (-5.4) (0.2)
Therefore, Isaac applied the distributive property in Step 2.
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer:
Step 2: Distributive Property:
= (-5.4)(4) + (-5.4)(0.2)
hope this helped, here is a hug
༼ つ ◕_◕ ༽つ
Help 5y^5/y^3 a) 5y^2 b) 5/y^2 c) 5y^8 d) 5y
Answers
Answer:
a) 5y²
Step-by-step explanation:
5 divided by 1 is still 5
y^5/y^3 subtract the exponents since the base is the same
Answer:
a) 5y²
Step-by-step explanation:
5y⁵ / y³ = 5y⁵⁻³ = 5y²
a) 5y²
Continue this pattern of shapes for three more steps.
Answers
Answer:
triangle square hexagon, triangle square hexagon
Answer:
Step-by-step explanation:
1. six equal sides -Regular hexagon.
2.seven equal sides-Regular heptagon.
3. eight equal sides-Regular Octagon
simplify(1-√3)(1/3+√3) leaving your answer in the form p +q √3
Answers
Answer:
-8/3 + 2/3 (√3)
Where, p = -8/3
q = 2/3
Step-by-step explanation:
Simplify(1-√3)(1/3+√3)
= (1-√3)(1/3+√3)
Expand the bracket
= 1(1/3+√3) -√3(1/3+√3)
= 1/3 + √3 - √3/3 - 3
Collect like terms
= 1/3 - 3 + √3 - √3/3
= (1/3 - 3) + (√3 - √3/3)
= -8/3 + [(3√3 - √3)/3]
= -8/3 + 2√3/3
= -8/3 + 1/3( 2√3)
= -8/3 + 2/3 (√3)
Where, p = -8/3
q = 2/3
Solve for c in the literal equation 3p + 11c =p. Represent any fractions in simplified proper or improper
form only.
Answers
[tex]11c=p-3p\\11c=-p\\c=-\frac{2p}{11}[/tex]
Given that x = 5 and y = 9, evaluate the expression using -4xy - 6x2 + 2x2y - 6y
Answers
Answer:
66
Step-by-step explanation:
Put the numbers in place of the corresponding variables and do the arithmetic.
-4(5)(9) -6(5)^2 +2(5)^2(9) -6(9) = -180 -150 +450 -54 = 66
What is the measure of ZRSP in the diagram below?
R
79°
43°
S
A. 58°
B. 101°
C. 122
D. 180°
Answers
Greetings from Brasil...
We know that the sum of the internal angles of a triangle is 180....
Bringing to our problem:
Angle P + Angle R + Angle S = 180
43 + 79 + Angle S = 180
Angle S = 180 - 43 - 79
Angle S = 58The set of numbers that includes all positive numbers, zero,
and all negative numbers are called
Answers
Answer:
They are Called Intergers
Step-by-step explanation:
HURRY PLEASEEEEEEEEE...? What is the definition of an angle? A.A part of a line starting at a particular point and extending indefinitely in one direction. B.To rays sharing a common endpoint. C.All points between and including two endpoints. D.The set of all points that a fixed distance from a given point.
Answers
Answer:
C
Step-by-step explanation:
All points between and including two endpoints.
I am so sorry if this is incorrect!!!!!!!!!!!!!!!!!!!
Answer:
B.) the set of all points that are a fixed distance from a given point
Step-by-step explanation:
Search the definition up, it'll give you the same answer.
You're welcome
>:D
Solve the equation
(If possible please show work)
Answers
Answer:
-2x+4 = 1-4x-3-2x+4x = 1-3-42x = -6x = -6/2•°• x = -3➨ -2x + 4 = 1 - 4x - 3
➨ -2x + 4 = -4x - 2
➨ -2x + 4x = -2 - 4
➨ 2x = -6
➨ x = -6/2
➨ x = -3
Therefore, the value of x is -3.
Write 10 x 10 x 10 x 10 x 10 with an exponent.
10 x 10 x 10 x 10 x 10 =
Answers
Answer:
[tex]10^5[/tex]
Step-by-step explanation:
Exponents are basically just saying how many times the number is multiplied by itself.
In the expression [tex]10\cdot10\cdot10\cdot10\cdot10[/tex], we can see that 10 is being multiplied by itself 5 times.
So the exponent becomes 5, and the base is 10.
[tex]10^5[/tex].
Hope this helped!
[tex]10^{5}[/tex]
Step-by-step explanation:
God bless
10 to the power of 5
30 POINTS!! An international company has 13,500 employees in one country. If this represents 29.7% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. Please answer correctly!
Answers
Answer:
Approximately 45,455 total employees.
Step-by-step explanation:
So the company has 13,500 employees in one country. And this represents 29.7% of the company's employees.
In other words:
[tex]\frac{13,500}{\text{Total}}=0.297[/tex]
The left represents the number of employees in one country over the total number.
And the right is the decimal form of 29.7%. Simply move the decimal two places to the left and remove the percent symbol.
So, to solve for the total, multiply both sides by it first. The left side cancels:
[tex]\text{Total}(\frac{13500}{\text{Total}} )=\text{Total}(0.297)\\13500=\text{Total}(0.297)[/tex]
Now, divide both sides by 0.297. The right side cancels:
[tex]\text{Total}=\frac{13500}{0.297}[/tex]
Use a calculator.
[tex]\text{Total}\approx45454.5455[/tex]
So, there is approximately 45,455 total employees.
Answer:
[tex]\Large \boxed{\mathrm{45455 \ employees }}[/tex]
Step-by-step explanation:
29.7% of the company’s employees is 13,500.
Let the number of the company’s employees be x.
[tex]29.7\% \cdot x = 13500[/tex]
[tex]0.297x=13500[/tex]
Dividing both sides by 0.297.
[tex]x= 45454.5454545...[/tex]
There are 45455 employees in total (rounded to nearest whole number).
Seorang pemilik toko sepatu ingin mengisi tokonya dengan sepatu laki-laki paling sedikit 100 pasang, dan sepatu wanita paling sedikit 150 pasang. Toko tersebut dapat memuat 400 pasang sepatu. Keuntungan setiap pasang sepatu laki-laki Rp 1.000 dan setiap pasang sepatu wanita Rp 500. Jika banyaknya sepatu laki-laki tidak boleh melebihi 150 pasang maka keuntungan terbesar yang diperoleh adalah. . .
Answers
Menjawab:
Rp. 275.000
Penjelasan langkah demi langkah:
Diberikan sebagai berikut:
Jumlah maksimal toko sepatu yang bisa menampung = 400 pasang
Jumlah maksimal sepatu pria = 150 pasang
Jumlah terkecil sepatu wanita = 150 pasang
Keuntungan sepatu pria = Rp 1000
Keuntungan sepatu wanita = Rp. 500
Karena itu, jumlah maksimum sepatu wanita:
(Toko sepatu maksimum dapat menampung - jumlah maksimum sepatu pria)
(400 - 150) = 250 pasang
Keuntungan terbesar yang bisa dicapai:
(Jumlah sepatu pria * keuntungan) + (jumlah sepatu wanita * keuntungan)
(150 * 1000) + (250 * 500)
Rp. 150.000 + Rp. 125.000
= Rp. 275.000
calculate the values of the Expressions below 6 - 2 (4 + 5) + 6
Answers
Answer:
= -6
Step-by-step explanation:
6 - 2 (4 + 5) + 6
=6-2 * 9 + 6
= -6
Answer:
12
Step-by-step explanation:
whats 46.288 rounded to the nearest tenth
Answers
Answer:
46.3
Step-by-step explanation:
Find the number in the tenth place (2) and look one place to the right for the rounding digit (8) Round up if this number is greater than or equal to 5 and round down if it is less than 5
Sophia can wash 99 cars in 9 days.How many cars can Sophia wash per day?
Answers
Answer: Hi!
Here we're trying to find something called a unit rate. To find the unit rate in this situation, we have to divide the amount of cars by the amount of days:
99 ÷ 9 = 11
Sophia can wash 11 cars in one day.
Hope this helps!
Answer:
[tex]\Huge \boxed{\mathrm{11}}[/tex]
Step-by-step explanation:
She can wash 99 cars in 9 days.
Divide number of cars by number of days.
99 cars / 9 days ⇒ 11 cars/day ⇒ 11 cars per day.
The solution of the equation 3x+4=25
Answers
Answer:
[tex]\huge \boxed{x=7}[/tex]
Step-by-step explanation:
3x + 4 = 25
Subtract 4 from both sides.
3x + 4 - 4 = 25 - 4
3x = 21
Divide both sides by 3.
(3x)/3 = 21/3
x = 7
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius. Which week had greater variability in high temperature? Explain your reasoning.
Answers
Answer:
mean 4.86
MAD = 1.91
Step-by-step explanation:
The required week that had greater variability in high temperature is week 2.
Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week 2 > MAD of week 1
Thus, the required week that had greater variability in high temperature is week 2.
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there were 62 females and 217 males present at the high school pep rally. find the ratio of the males to the total number of people present
Answers
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The ratio is 217 to 279 or 217:279 or [tex]\frac{217}{279}[/tex]
Males: The number of males if already stated. (217)
Total number of people present: The total number of people means males + females. There are 62 females and 217 males. 62+217 is 279.
Males to total people = 217 to 279
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The ratio of the males to the total number of people present is [tex]\frac{7}{9}[/tex] = 7:9
What is ratio?"A ratio is an ordered pair of numbers a and b, written [tex]\frac{a}{b}[/tex] where b does not equal 0."
We have
Female candidates at the high school rally = 62
Male candidates at the high school rally = 217
Total number of people present at the high school rally
= 62 + 217
= 279
The ratio of the males to the total number of people present
= [tex]\frac{Total Number of People Present}{Male Candidates Present}[/tex]
= [tex]\frac{217}{279}[/tex]
= [tex]\frac{7}{9}[/tex]
Hence, the ratio of the males to the total number of people present is [tex]\frac{7}{9}[/tex] = 7:9
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"five times the sum of a number and 6 is 48"
Answers
Answer:
Sum of the number is 8.4
Step-by-step explanation:
x = sum of a number
(5 × x) + 6 =48
5x + 6 = 48
5x + (6 - 6) = (48 - 6)
5x = 42
5x ÷ 5 = 42 ÷ 5
x = 8.4
Answer:
5 (x+6)=48
x=3.6
Step-by-step explanation:
let x be the unknown number :
5 (x+6)=48
5x+30=48
5x=48-30
5x=18
x=18/5=3.6
Find the value of
3a²-4ab-26² when A= -1 and b-4
Answers
Answer:
-657
Step-by-step explanation:
[tex]a= -1\\b= 4\\[/tex]
Substituting the value of a and b
[tex]3a^{2}-4ab-26^{2} \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657[/tex]
The value of 3a²-4ab-26² is -657
What is the best way to study all my countries? RN I'm on Asia, and I've done USA, Canada (provinces and territories), Central America, Caribbean, South America, Europe. The thing is, IDK when I have my test, but IK that incase it comes in a week, I have to be prepared. Asia and Africa has 99 countries, and I can't study that fast. I need a fast, efficient way of studying. Websites are ok. (BTW sorry I had to put this in the math section, its just a lot of people hang out there.)
Answers
use seterra its good
Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x^7+10x^6 C) 2x^7+12x^6+10x^5 D) 2x^7-12x^6+10x^5
Answers
Answer:
Option D. 2x⁷ - 12x⁶ + 10x⁵
Step-by-step explanation:
From the question given:
Length (L) = 2x²
Width (w) = x³
Height (h) = x² - 6x + 5
Volume (V) =?
Volume (V) = length (L) x width (w) x height (h)
V = L x w x h
V = 2x² × x³ × x² - 6x + 5
V = (2x²) (x³) (x² - 6x + 5)
V = (2x⁵) (x² - 6x + 5)
Clear bracket
V = 2x⁷ - 12x⁶ + 10x⁵
Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵
Help I will love you forever
[tex]6\sqrt [4]{405 {a}^{5} {b}^{8}c } [/tex]
Answers
Hope this helps you ☁︎☀︎☁︎♥︎