Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
where θ is measured in degrees. The area of triangle ABC is 15cm^2
(a) Find the two possible values of cos θ
Given that BC is the longest side of the triangle,
(b) find the exact length of BC.
Answer:
To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8
To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205
Plsssssssssssss help me
1.2 recognizing function worksheet
Answer: Perhaps you did a typo..?
Step-by-step explanation: I know all about functions, but there seems not to be a worksheet. Perhaps you didn't add it on, or it's just me. But anyways, I would absolutely adore and love to help when you add it on. I wish you the best of luck
Find the value of x.
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)
78x -13 = 70x +35 . . . . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . . . . . . . divide by 8
Which property is shown?
If m ZABC = m ZCBD, then mZCBD = m ZABC
reflexive property
substitution property
symmetric property
Transitive property
9514 1404 393
Answer:
(c) symmetric property
Step-by-step explanation:
The symmetric property of equality lets you swap sides of the equal sign.
__
Reflexive: A = A
Substitution: if A=B and A=C, then C=B
Symmetric: A = B ⇔ B = A
Transitive: if A = B and B = C, then A = C.
note that the substitution and transitive properties are almost indistinguishable.
Solve the triangle.
A = 46°, a = 31, b = 27
Step-by-step explanation:
a=31
b=27
A = 46 degree
now, Area of ️ABC =ab siny÷2
=31×27 sin46÷2
=301.04371 .
9.00391 to the nearest ten-thousandth
Answer:
It is 9.0039
Step-by-step explanation:
9 » ones
.0 » tenths
0 » hundredths
3 » thousandths
[tex]{ \boxed{ \bf{9} \: » \: ten - thousandths}}[/tex]
1 » hundred thousandths
Answer:
9.0039
Step-by-step explanation:
The tempature at 5 P.M. is 20 degrees f. The temperature at 10 P.M. is -5 degrees f. How many degrees did the temperature fall?
Answer:
25 degreea bestie hope thiis helped
Andrew is employed and paid at rate of R650 per day . Calculate his new daily rate after a 7% increase. Show all your calculations
Answer:
650 x 1.07 = 695.5.......
When 8 is subtracted from the square of a number, the result is 7times the number. Find the positive solution
Answer:
x=8 , x=-1
Step-by-step explanation:
let the number is x
According to the condition
[tex] {x}^{2} - 8 = 7x \\ {x}^{2} - 7x - 8 = 0 \\ {x}^{2} - 8x + x - 8 = 0 \\ x(x - 8) + 1(x - 8) = 0 \\ (x - 8)(x + 1) = 0 \\ x - 8 = 0 \: or \: x + 1 = 0 \\ x = 8 \: or x = - 1[/tex]
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Use a number line or place value to round each number to the place of the underlined digit
you didn't put a picture in,
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
Grass seed is going to be spread over a playing field. The number of
bags of seed needed depends on the size of the field. The rectangular
field is 87 yards long and 60 yards wide. What is the area of the field?
Answer:
A =5220 yd^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 87 * 60
A =5220 yd^2
6.5 / (2.2 x 3.6 / 7.92)
(pls help)
Answer:
6.89
Step-by-step explanation:
Do what's in the parentheses first then the rest and I rounded. Hope this helps!
The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is ₹157. Find the sum
Answer:
The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is Rs. ... Hence, the sum is Rs. 63,100.
Step-by-step explanation:
Hopefully it is helpful....Have a nice day..
Write the 127.5 in scientific notation please.
Can anyone write out "the sum of 2 and the quotient of b is 5 when b equals 9" in numbers?
Answer:
2+b=5, b=9
Step-by-step explanation:
Given that BE bisects LAB Din the figure below, find the value of x.
help please!
1.2 hours in hours and minutes
Answer:
1 hour 12 minutes
Step-by-step explanation:
1.2 × 60 = 72 minutes
72-60 = 12 minutes
what is the slope -intercept of this line
Step-by-step explanation:
at x (2,-2)
y(0,4)
You can use the formula Y = MX + C
Identify the property that justifies each step asked about in the answer area below.
Line 1:
c(bd)
Line 2:
(cb)d
Line 3:
(bc)d
Line 1 to Line 2:
Line 2 to Line 3:
The properties that justify each line is:
Line 1 to Line 2: Associative property of multiplicationLine 2 to Line 3: Associative property of multiplicationThe expressions are given as:
[tex]c(bd)[/tex]
[tex](cb)d[/tex]
[tex](bc)d[/tex]
Notice that only the positioning of the variables are changed, the operator within the variables remain the same (i.e. the multiplication)
Hence, the properties that justify the three lines is the associative property of multiplication
Read more about algebra properties at:
https://brainly.com/question/10628093
Answer:
Step-by-step explanation:
KJ,BDUVLJ,B SIV.LNDFVLIK.,snV LK,BNDIRLKN
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 – 9t^3 + 24t^2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
(2 months isn’t the answer btw)
The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Given that:
[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]
To calculate the profit, we simply substitute the values of t in the above equation.
(a) 5 months
This means [tex]t =5[/tex]
So, we have:
[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]
[tex]P(5) = 0[/tex]
(b) 3 months
This means that [tex]t=3[/tex]
So, we have:
[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]
[tex]P(3) = -6[/tex]
(c) 2 months
This means that [tex]t = 2[/tex]
So, we have:
[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]
[tex]P(2) = 0[/tex]
(d) 1 month
This means that [tex]t = 1[/tex]
So, we have:
[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]
[tex]P(1) = -4[/tex]
For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).
Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Read more about functions at:
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Compute the expected theoretical probability of getting a 6 when you roll a dice once. Explain your answer
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Answer:
Hope This Helps You
Have A Great Day
1)What's the probability of spinning a green on
Spinner A (2 green, 2 yellow, 2 blue, and 2 red),
and the yellow on Spinner B (4 red, 4 blue, 4
yellow, 4 green):
Spinner A Spinner B
Answer:
spinner A(green)= 2/8 =1/4
spinner B(yellow)= 4/16 =1/4
the costprice of the article is Rs800.If the article is sold for Rs1200,find profit
Answer:
Answer
Profit = SP - CP
Profit = 1200 - 800
Profit = 400
Henceforth,
Profit made on the article is ₹400
prove the difference of the squares of two successive intergers is equal to the sum of the intergers
Answer:
[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]
Where ? = 2.
Step-by-step explanation:
We want to prove that the difference of the squares of two successive integers is equal to the sum of the integers.
In other words, we want to show that for any given integer n:
[tex]\displaystyle (n+1)^2 - n^2 = n + (n+1)[/tex]
From the original equation, expand:
[tex]\displaystyle = (n^2 + 2n + 1) - n^2[/tex]
Combine like terms:
[tex]= 2n +1[/tex]
And rewrite. Hence:
[tex]\displaystyle = n + (n + 1)[/tex]
Therefore:
[tex]\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}[/tex]
In conclusion, ? = 2.
Simplify (2^5/3^2)^4.
Answer:
Frist one is the answer of this question.
Hope it helps you.What type of function is represented in the table? 0 -3 1 -4 2 -11 3 -24 4 -43 5 -68 logarithmic linear exponential quadratic
Answer:
exponential quadrant
hope it helps you
The given function is of quadratic type. Therefore, the correct option is option C among all the given options.
What is mathematical function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a predictor variables (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Expressions of well-known functions can be found in many frequently used mathematical formulas. As an illustration, the formula A = r2 for both the area of either a circle plots the predictor variables A (this same area) as little more than a consequence of the regression coefficient r. (the radius).
Mathematical functions with more than two variables, often known as multivariable or multivariate functions, are frequently used; this is seen by the triangle's area formula. The given function is of quadratic type.
Therefore, the correct option is option C.
To know more about mathematical function, here:
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