Find the remaining sides and angles in the triangle. Round your answers to the nearest tenth.
mZA = 55°, mZB = 44°, and b = 68
a. m2C = 81°, a = 96.7, c =80.2
b. m2C = 81°, a = 80.2, c = 96.7
C. m2C = 81°, a = 89.2, c = 57.7
d. m2C = 81°, a = 57.7, c =89.2
Answers
Answer:
The answer is "Option b".
Step-by-step explanation:
[tex]m\angle A = 55^{\circ}\\\\m\angle B = 44^{\circ}\\\\m\angle C = 180^{\circ}-(55^{\circ}+44^{\circ})\\\\[/tex]
[tex]= 180^{\circ}-99^{\circ}\\\\=81^{\circ}\\\\[/tex]
[tex]\frac{a}{\sin 55^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\a = \frac{68 \ \sin 55^{\circ}}{\sin 44^{\circ}}\\\\a= 80.2^{\circ}\\\\\frac{c}{\sin 81^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\c = \frac{68 \ \sin 81^{\circ}}{\sin 44^{\circ}}\\\\c= 96.7^{\circ}\\\\[/tex]
Related Questions
The function y = log (x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
Answers
Answer:
whichever one looks like the screenshot i have of the graph-
Answer:
Graph B
Step-by-step explanation:
Took the test and got it right on EDGE22
help asap please thanks
Answers
-pi/4 is the same thing as 7pi/4.
The sine function will get us the y-value we need.
Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.
Therefore, the correct expression is sin(7pi/4).
Hope this helps!! :)
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answers
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 5/12. There are 40 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be
Answers
Answer: the total number of milk chocolate is 6
Step-by-step explanation:
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.
What expression represents the profit, and what is the profit if 240 cell phones are sold?
40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800
Answers
Answer:
C
Step-by-step explanation:
Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.
The profit, if 240 cell phones are sold, is $16,850.
Profit = 70x + 50
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The profit, in dollars, can be found by subtracting the cost from the revenue:
Profit = Revenue - Cost
= (2x² + 55x + 10) - (2x² - 15x - 40)
= 70x + 50
The expression for profit is 70x + 50.
To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:
Profit = 70x + 50
= 70(240) + 50
= 16,850
Therefore,
The profit, if 240 cell phones are sold, is $16,850.
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On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answers
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
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Can someone help me? It's urgent and thank you!
Answers
Answer:
its c trust me. ive seen some stuff like this before
I Need Help Finding The Answer To m
Answers
Answer:
164.4
Step-by-step explanation:
m<ABC = m<ABK + m<KBC
17x + 8 = 42 + 12x - 4
17x - 12x = 42 - 4 + 8 add like terms
5x = 46 divide both sides by 5
x = 9.2 now replace x with 9.2 in 17x + 8
17*9.2 + 8 = 164.4
which value of x is in the domain of f (x) =v x-7?
Answers
Answer:
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \sqrt{x - 7}[/tex]
Domain of the square root function:
The square root does not exist for negative values, so the domain of a square root function:
[tex]g(x) = \sqrt{h(x)}[/tex]
Is [tex]h(x) \geq 0[/tex]
In this question:
[tex]f(x) = \sqrt{x - 7}[/tex]
Then:
[tex]h(x) = x - 7[/tex]
[tex]x - 7 \geq 0[/tex]
[tex]x \geq 7[/tex]
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Answer:
the answer is 8 and x>or equal 7 and the only option greater than 7 is 8
Step-by-step explanation:
Determine the area of the blue triangle below. Round your answer to
the nearest tenth.
Answers
Answer:
68.9 in^2
Step-by-step explanation:
first lets find the height of the blue triangle
hypotenuse = 15 in
one side is 12 in whereas other has to be find.
take 50 degree as reference angle
using sin rule
sin 50 = opposite/hypotenuse
0.76 = opposite/15
0.766*15 = opposite
11.49 = opposite
area of triangle = base*height/2
=12*11.49/2
=136.88/2
=68.94
=68.9 in^2
Answer:
A = 68.9 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are 2 sides and C the angle between them )
Here a = 12, b = 15 and C = 50° , then
A = [tex]\frac{1}{2}[/tex] × 12 × 15 × sin50°
= 6 × 15 × sin50°
= 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )
Identifying integers
Which of the following are true statements? Select all that apply
Answers
Answer:
what are the options...
Step-by-step explanation:
lf R(x) = x2 – 3x – 1, find R(-2).
a.9
b.-9
c.-3
d.-11
Answers
Answer:
A.
Step-by-step explanation:
If R(-2), then x = -2. Just plug in -2 for x. -2^2 - 3(-2) - 1 = 4 + 6 - 1 = 10 - 1 = 9. The answer is 9.
A square has the same area as a rectangle with side of length 9 cm and 16 cm .What is the length of one side of the square ?
Answers
Answer:
12cm
Step-by-step explanation:
Area of square = Area of rectangle
Area of square = length x breadth
Area of square = 9 x 16 = 144(cm)^2
(side)^2 = 144
side = √144
side = 12cm
12cm
Step-by-step explanation:
area of square=area of rectangle
s^2=L*W
area of rectangle=length * width
area of rectangle=9cm*16cm=144cm^2
s^2 =144cm^2
s=12 cm
I ONLY NEED HELP ON THE FIRST QUESTION SHOWN
Answers
An internet company charges its customers in the following way. The internet is free for the first five hours each month and then is charged at a rate of 10 cents per hour. a) Derive a formula for calculating the cost, $C, of h hours of internet use. b) Use your formula to calculate the monthly cost of 55 hours of internet use.
Answers
Answer:
$500
Step-by-step explanation:
f(x) = 0 + 10h
f(x) = $C
$C = 0 + 10(50)
55-5 = 50
$C = 10(50)
$C = $500
HELP! What is the solution to the linear system? (Picture included)
Answers
Answer:
(15,9)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The intersect at x=15 and y =9
(15,9)
HELP ASAP PLEASE!! :]
Answers
Answer:
36 sq units
Step-by-step explanation:
the area of shaded part =
(½×12×12) - (6×6)
= 72-36
= 36 sq units
GUYS PLEASE HELP ME, PLEASE SHOW WORK AND I WILL MARK BRAINLEST!
Answers
Explanation: The given ratio is 5:245
When simplified(245/5), it gives you 1:49!
Which conjunction about whole numbers is true?
The sum of two non-zero even numbers is even and less than the addends.
The sum of two non-zero even numbers is even and greater than the addends.
The difference of two non-zero even numbers is odd and less than the larger number.
The difference of two non-zero even numbers is odd and greater than the larger number.
Answers
Answer:
The sum of two non-zero even numbers is even and greater than the addends
Step-by-step explanation:
The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first number be p
Let the second number be q
Now , the values of p and q are even
So , when p = 2 and q = 4
The sum of two non-zero even numbers is even and greater than the addends
p + q > q be equation (1)
p + q > p be equation (2)
2 + 4 > 4
2 + 4 > 2
6 > 4 and 6 > 2
Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends
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What is the probability of a student liking music given they already like art?
Answers
Using it's concept, the probability that a student liking music given they already like art is of 10/17 = 0.5882 = 58.82%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, from the Venn Diagram, there are 17 students who like art, and of those, 10 like music, hence the probability is given by:
10/17 = 0.5882 = 58.82%.
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the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answers
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answers
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
does anyone know how to solve this?
Answers
Answer:
[tex] { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}[/tex]
How many miles is her road trip
Answers
She has driven 75 miles per hour for 3 whole hours. To find the miles she has driven multiple the miles per hour and the amount of time she has driven. This is 225.
Then she drove 40 miles per hour for only 1 hour. She only drove 40 miles. Add 225 + 40. This gives you 265 miles.
Answer:
(B). 265 miles
Step-by-step explanation:
She travelled 75 mph for 3 hours and 40 mph for 1 hour.
Therefore, 75 + 75 + 75 + 40 = 265 miles
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we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answers
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
Find the area of this circle. Use 3 for pi
Answers
Step-by-step explanation:
given pi value= 3
radius=7
we know,
area of a circle(A)= πr²
= 3×7²
=147cm²
Answer:
A = 147 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 7 cm
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = 3(7 cm)²Evaluate exponents: A = 3(49 cm²)Multiply: A = 147 cm²Which is the solution to the inaquality y+15<3
Answers
Answer:
y < - 12
Step-by-step explanation:
Given
y + 15 < 3 ( subtract 15 from both sides )
y < - 12
i need help lol
thanks and bye
Answers
Answer: I think a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
WILL MAKE THE CORRECT ANSWER BRAINLIEST!!!
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answers
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answers
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]