Answer:
Step-by-step explanation:
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Pleas be sure to answer BOTH PARTS ... thank you!
Answer:
p = 32.317
A = 47.911
Step-by-step explanation:
given ∠A = 60
∠C = 45
AB = 9
From sum of all angles in triangle is 180
∠A + ∠B + ∠C = 180
60 + ∠B + 45 = 180
∠B = 180 - 105 = 75
∠B = 75
from sine rule in ΔABC
AB / sin C = BC / sin A
=> 9 / sin 45 = BC / sin 60
=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]
=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]
BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]
BC = 11.023
length of AC is
AC / sin B = AB / sin C
AC / sin 75 = 9 / sin 45
AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]
= [tex]9\sqrt{2} * sin 75\\12.294[/tex]
perimeter of ΔABC
AB + BC + CA
= 9 + 11.023 + 12.294
= 32.317
Area of ΔABC is
= 1/2 * AB * AC * sin A
= 1/2 * 9 * 12.294 * sin 60
= 1/2 * 9 * 12.294 * √3/2
= 47.911
I NEED HELP THIS IS DUE TODAY
Answer:
Sorry I don't know. My advise take the problem step by step.
Step-by-step explanation:
Step-by-step explanation:
a. (8x³ - 5x² + 4x - 5) - (6x³ - 4x² - x + 2)
= 2x³ - 9x² + 3x - 3
hence, remainder distance is 2x³ - 9x² + 3x - 3.
b. (6x - 3y + 4z - 2m) + (4z - 4y + 5x - 2m)
= 11x - 7y + 8z - 4m
hence, (6x - 3y + 4z - 2m) should be subtracted from (11x - 7y + 8z - 4m) to get (4z - 4y + 5x - 2m)
c. (-1x + 6x² - 2) + (2x² - 3 - 2x)
= 8x² - 5 - 3x
now,
(10x² - 5 + 2x) - (8x² - 5 - 3x)
= 2x² - x
therefore, measure of 3rd side of the triangle is 2x² - x.
e. a² + 1a
f. x(6 - 2x) = 6x - 2x²
g. -2ab ( 3ab² + 2a²b ) = -6a²b³ - 4a³b²
h. -3b
I. -2x
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
What goes up as soon as the rain comes down?
Answer:
Umbrella goes up when rain comes down.
2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer
Answer:
parallel
Step-by-step explanation:
Answer:intersect
Step-by-step explanation:
HELP ASAP 100 POINTS RIGHT ANSWER GETS BRAINLSIT
Solve for x.
14(x−12)=−235
Enter your answer as a mixed number in simplest form by filling in the boxes.
x =
Answer:
Hell your answer for x is 4 11/14 ( that is what i got)
Step-by-step explanation: K12
A jacket usually sells for $68.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?
Answer:
$ 43.25
Step-by-step explanation:
68 - 40% = 40.8
40.8 + 6% = $ 43.25
Which equation can be solved to find x, the measure of BD in the diagram
below?
C
53
AB
D
E
2330
O A. *- 53 = 233
B. }(233 + x) = 53
C. (233 - x) = 53
D. x+ 53 = 233
=
The value of x is equal to 127 degrees.
Data;
Outer angle = 233Inner angle = 53unknown angle = xAngle tangent to a circleTo find the angle x which is related to angle 233 to form the outer angle 53, the equation
[tex]\frac{1}{2} (233 - x) = 53[/tex]
We can proceed to solve for x by simplifying the equation which will give us
[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]
The value of x is equal to 127 degrees.
Learn more on tangential angle here;
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Answer:
Step-by-step explanation:
just took the quiz
Find the perimeter. Simplify your answer.
Answer:
Step-by-step explanation:
p = 10x + 2 + 7x - 6 + 8x
p = 25x - 4
Answer:
To Find the perimeter we add all the sides,perimeter = 10x + 2 + 7x - 6 + 8x
= 25x - 4...ans
Step-by-step explanation:
Hope it Helps you!!HELP ME I NEED HELP AND I DONT KNOW THE ANSWER
Check B
(-3,0) and (0,-3)
Find slope
m=-3-0/0+3m=-3/3m=-1It has y intercept (0,-3)
Check A
(3,0) and (0,3)
m=3-0/0-3m=3/-3m=-1Option A is correct
Answer:
A
Step-by-step explanation:
Positive slope: as the x-value increases, the y-value increases.
Negative slope: as the x-value increases, the y-value decreases.
The slope of the graph is -1
As it has a negative sign, the graph has a negative slope.
As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.
The line passes through (0, 3)
When the x-value is zero, the line intercepts the y-axis.
Therefore, the line will intercept the y-axis when y = 3.
Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.
[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]
Sam has $10 to buy balloons at The Village Gift Shop. He wi He will buy at least one of each size of balloon. • He will buy as many balloons as he can. • He will spend as close to $10 as he carrwithout going over Using his rules, how many small balloons and large balloons answer. *PLEASEE HELP*
Answer:
How much is each size balloon-?
Step-by-step explanation:
This is impossible to solve-???
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
Quadratic
Step-by-step explanation:
Formula: ax^2+bx+c
look at the image, i need help with b mostly and please also answer a so i can check my answer
Answer:
a) 10 per for 4 min means 150 per hour. so more hamburgers are sold per hour.
b) see attachment
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
3/8*(-36)
Answer:
-27/2
Step-by-step explanation:
3/8 × -36
(3×-36)/8
-108/8
-27/2
What is the distance between −93 and 114 on a number line?
Answer:
207
Step-by-step explanation:
By counting the amount of numbers to get from -93 to 114, you count a total of 207. This means it takes 207 steps to get from -93 to 114.
When finding the distance between negative and positive numbers you can also add the numbers together to get the total distance between the numbers.
Answer: what ever u said on the answer to one of my questions got deleted lol
Step-by-step explanation:
question number fifteen
Answer:
d. EDC
Step-by-step explanation:
if you mirror the triangle ABC, it fits perfectly with triangle EDC
A television was originally priced at $1250.00 It is now on sale. If the TV is 30% off what is the sale price of the television?
Answer:
$875.00
Step-by-step explanation:
You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))
If x= 4, find 6x- x^2.
Answer: 8
Step-by-step explanation: (6)(4)-4^2 24−4^2 24−16 8
Practice: Find the value of the variable(s) in each figure explain your reasoning.
Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
It costs $36,736 to repay a loan of $20,500 at 6.6% annual simple interest
How much interest would pay each year?
Find the total amount of interest paid
How many years does it take to repay the loan?
Answer:
$1,353 a year $16,256 total paid 12 years
Find the slope from points (9,-13), (7,-11)?
That’s what my question is
Answer:
Step-by-step explanation:
The entered points belong to an increasing, linear function.
Equation: y = 1x + 4.
What trig function and angle is equivalent to sin(270°)?
Answer:
θradians sin(θ)
3π/2 -1
Step-by-step explanation:
leave a thanks if helped pls <3
The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,
sin(270°) = sin(3π/2) = -1
Also, if the trigonometric function is needed to be changed then we can write,
sin(3π/2) = cos(π) = cos(180°) = -1
Hence, the trigonometric function and angle are equivalent to sin(270°).
Learn more about Trigonometric functions:
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Three of six people are to be selected and given sinall prizes. One will be
given a book, one will be given a cal cul ator, and one will be given an iTunes
card. In how many different ways can these prizes be awarded?
Answer:
The three prizes can be awarded in 6 different ways
Step-by-step explanation:
1. P1 - Book; P2 - Calc; P3 - Card
2. P1 - Book; P2 - Card; P3 - Calc
3. P1 - Calc; P2 - Card; P3 - Book
4. P1 - Calc; P2 - Book; P3 - Card
5. P1 - Card; P2 - Book; P3 - Calc
6. P1 - Card; P2 - Calc; P3 - Book
A muffin recipe calls for 2 eggs to make 12 muffins.
If you want to make 36 muffins, what should you do?
Answer:
6 eggs
Step-by-step explanation:
since recipe states that to make 12 muffins you need 2 muffins
2. = 12
represent the unknown with x
2. = 12
x. = 36
Then you'll cross multiply
36 × 2 = 72
12x = 72
x = 72 ÷ 12
x = 6
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
I
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
.
Christian pays $15 to join a music streaming service. He also pays $0.99 for each song he downloads from the same service.
Which function can be used to find, y, the the amount of money Christian spends for x downloaded songs?
y = 0.99x + 15
y = 15x + 0.99
y = 15x
y = 0.99x
The total amount of money Christian spends to download x xongs is y = 15 + 0.99x.
Christian initially pays $15 to join the music service.
Also, he pays $0.99 for each song he downloads from the service.
If he downloads x songs, the amount extra he pays per song he downloads is price per song × number of songs = $0.99 × x = $0.99x.
This amount is added to the initial $15 he pays to join the service. So, the total amount of money he pays is y = initial amount + extra per song = $15 + $0.99x = $0.99x + $15
So, the total amount of money Christian spends to download x xongs is y = 15 + 0.99x.
Learn more about linear equations here:
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4800 persons run a marathon, 1200 reach the finish line. What is the percent of people reach the finish line at the marathon?
Answer: 25%
Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio
1200:4800
then make that into a fraction, 1200/4800
then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.
for example. p/100 (p, represents the percent)
then cross multiply.
1200x100=1200000
Last divide 1200000 by 4800 to get 25%.
geometry Solve for x
For what value of k does the equation 6(x+1)+2 = 3(k/5x + 1) +3 have no solution
This one is an interesting question.
Lets solve first the equation by isolation of the unknown x:
6x + 6 +2 = (3k / 5x )+3 +3
6x = (3k/5x) + 6 -6-2
6x = (3k/5x) -2
6x = (3k / 5x) - (10x / 5x)
6x = (3k-10x)/5x
6x*5x = 3k - 10x
30x² = 3k - 10x
30x² + 10x = 3k
30x² + 10x - 3k = 0
This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.
But delta = b² - 4ac where b = 10, a = 30 and c = -3k
So we need to solve delta < 0
100 - 4*30* (-3k) < 0
100 - 120*(-3)*k < 0
100 - (-360)k < 0
100 + 360k < 0
360k < -100
k < -100/360= -10/36
So there is no solution for all k strictly less than -10/36
Good luck
What is the easy way to do fractions to decimals.
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that
measures 5.25 feet casts an 8-foot shadow.
Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?
MGSE9-12.G.SRT 5
b. 5.25
a. 1285.25; 195 ft
X 128
8 ; 84 ft
128
c. 5.25" 8 ; 672 ft
X 128
d. 3 5.25; 195 ft
Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153