Answer:
a) 16.4 kmb) 79°c) 10 kmStep-by-step explanation:
Find the m∠B:
m∠B = (360° - 310°) + 50° = 100°a)
Find AC using law of cosines:
AC = √(8² + 13² - 28*13*cos 100°) = 16.4 km (rounded)b)
Find m∠A using law of sines:
16.4/ sin 100 = 13 / sin Am∠A = arcsin (13 sin 100 deg / 16.4) = 51° (rounded)The bearing of C from A:
180° - (50° + 51°) = 79°c)
Let the required distance is x:
x/ BC = sin 50°x = BC sin 50°x = 13 sin 50°x ≈ 10 km (rounded)Answer:
a) 16.4 km
b) 79 deegres.
c.10 km
Step-by-step explanation:
Find the m<B:
-m<B= 360 deegres -310 deegres) +50 deegres=100 deegres.
a)
Find AC using law of counsines:
-AC=( 8 to the second power + 13 to the second power - 28×13× cos 100 deegres.
16.4 km
Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?
Answer:
241 t-shirt and 49 short
Step-by-step explanation:
lets call shorts x and tshirts y
x+y=290 (first equation)
4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)
x=290-y
and substitute it with x in the second equation
4(290-y)+2y=678 then till u get to y=241 (the pieces sold)
290-241=49 (pieces sold)
so as proof 49+241=290 pieces sold
as proof also 4*49=196 price of all shorts sold
2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$
15 points!! & will give brainliest!
The graph of F(x), shown below, resembles the graph
of G(x) x2, but it has been changed somewhat. Which of the
following could be the equation of F(x)?
A. F(x) = 6x2 - 2
B. F(x) = – x2 - 2
C. F(x) = 0.6x2 - 2
D. F(x) = x2 - 2
A. [tex]f(x)=0.6x^{2} -2[/tex], is the correct answer.
[tex]g(x)=x^{2}[/tex] is shifted down [tex]2[/tex] units and is bigger by 0.6 units, which makes the new equation: [tex]f(x) =0.6x^{2} -2[/tex].
The equation of the transformed function is F ( x ) = 0.6x² - 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = x²
And , the graph of the function is shifted 2 units down and stretched by a a scale factor of 0.6 units
So , the transformed function is
F ( x ) = 0.6x² - 2
Hence , the transformed function is F ( x ) = 0.6x² - 2 and the graph is plotted
To learn more about transformation of function click :
https://brainly.com/question/26896273
#SPJ7
The afternoon crew at Yummy Yummy Subbys can make a submarine sandwich once every 45 seconds. The evening crew can only make a submarine sandwich once every 50 seconds. If both crews work together, how many seconds will it take them to make 38 submarine sandwiches?
Answer: 900
Step-by-step explanation:
The number of seconds it will take both the crew together to make 38 sandwiches is 900.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.
LCM of 45 and 50 is 450.
Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.
Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.
Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.
Learn more about LCM:
https://brainly.com/question/20739723
#SPJ2
Rachel has scored 98, 83, and 68 on her previous three tests. What score does she need on her next test so that her average (mean) is 82?
Answer:Write the equation of this geometric sequence and find the value of the 9th term.
1/3, 1, 3, 9...
F(n)=
F(9)=
Step-by-step explanation:
You can put this solution on YOUR website!
The total of Jenny's 5 tests = 375
If she wants an average of 77 then
her 6 tests must total 6 x 77 = 462
462 - 375 = 87 which is what Jenny
must score on the sixth test for an
average of 77.
:-)
Answer:
79
Step-by-step explanation:
Sum of 4 test for Average of 82 must be 82 x 4 which is 328.
Subtract previous 3 scores from 328:
328 - (98 + 83 + 68)
328 - 249 = 79
She needs a 79
3. Write the inverse of the function g(x) =x-3/5
Answer:(x)= 0.6
Step-by-step explanation:
I need help with fractions
Answer: 3 1/2 represents G and 2 3/4 represents point K
Step-by-step explanation: If you look at the first on it is 3 1/2 because it is in the middle and the second one is divided in fourths so K is 2 3/4.
A rectangle is 12 meters long and 21 meters wide. Which dimensions
correspond to a non-similar rectangle?
Answer:
24m; 35m
Step-by-step explanation:
What number is 20% of 80
Answer:
16
Step-by-step explanation:
a trick that helps with percentages
if its 20% of 80, multiply 20 and 80 and then divide that by 100 so 1600 divided by 100. 16. hope this helps!!
A line passes through (2,4) and (-2,2).
a)Find the value of y if (6,y) lies on the
plane.
b)Does this line pass through the point of
Does this line intersect with the line
y=-x+3?
d) your answer was yes in b, in which
quadrant did they intersect?
Answer:
a) (6;6)
b) Yes
d) The intersection is on the vertical axis.
Step-by-step explanation:
a) A(2,4)
B (2,2)
Vecto BA (4, 2)
Vecto n (-4,2)
We have:
(2 - 4) x (X - (-2)) + (2 - (-2)) x (Y - 2) = 0
=> -2X + 4Y - 12 = 0
=> Y = X/2 +3
Let's find the value of y if (6,y) lies on the plane:
Put X = 6 => Y = 6
b)
X/2 + 3 = 3 - X
=> X/2 = -X
=> X =0 -> Y = 3
C (0;3)
d) The intersection is on the vertical axis.
I hope my answer will help you.
Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
Respuesta de estas ecuaciones (Los "{ }" y "[ ]" son "( )" simplemente estan asi para poder diferenciarlos A) [-3+(6-8)]-[40+(5.3-7)+20.2]= B)-4+[-2.6-1-(-3.4)]+(-5).(-3)+(-10)= C)-22.{-5+[8.3-(3.6-9)]}-(-2).(3)= D)-9-(-2+5).[-3+(-5)-(+2)+1]= E)40.{-12.[4+(-6).(-5)-15.3+12]}-2= F)-21.{-[-6.(7-3)]-(7.6-8.3)}-89=
Answer:
[tex]A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] = -63.5[/tex]
[tex]B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =0.8[/tex]
[tex]C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =-185.4[/tex]
[tex]D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =18[/tex]
[tex]E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =-14738[/tex]
[tex]F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =-607.7[/tex]
Step-by-step explanation:
[tex]A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] =[/tex]
Resuelve todas las expresiones en el paréntesis interior
[tex][-3-2] - [40 -1.7 + 20.2][/tex]
Resuelve cada paréntesis
[tex]-5 - 58.5[/tex]
[tex]-63.5[/tex]
[tex]B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =[/tex]
Resuelve todas las expresiones en el paréntesis interior
[tex]-4 + [-0.2] + (- 5) * (- 3) + (- 10)[/tex]
Resuelve todas las multiplicaciones y paréntesis.
[tex]-4 -0.2 + 15-10[/tex]
[tex]=0.8[/tex]
[tex]C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =[/tex]
Resuelve todas las expresiones en el paréntesis interior
[tex]-22 * \{- 5+ [8.3 + 5.4]\} - (- 2). (3)[/tex]
Resuelve todas las multiplicaciones y paréntesis.
[tex]-22 * 8.7 +6[/tex]
[tex]-191.4 + 6[/tex]
[tex]=-185.4[/tex]
[tex]D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =[/tex]
Resuelve todas las expresiones entre paréntesis interiores
[tex]-9 - 3 * [- 3 - 5 - 2 +1][/tex]
[tex]-9-3 * -9[/tex]
[tex]-9 + 27[/tex]
[tex]= 18[/tex]
[tex]E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =[/tex]
Resuelve todas las expresiones entre paréntesis interiores
[tex]40 * \{- 12 * [4 - 6 * - 5-15,3 + 12]\} - 2[/tex]
Multiplicar -6 por -5
[tex]40 * \{- 12 * [4 + 30-15.3 + 12]\} - 2[/tex]
Resuelve todas las expresiones en el paréntesis interior
[tex]40 *\{- 12 * 30.7\} - 2[/tex]
Quitar todos los paréntesis
[tex]40 * -368.4 - 2[/tex]
[tex]-14736 - 2 \\[/tex]
[tex]=-14738[/tex]
[tex]F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =[/tex]
Resuelve todas las expresiones entre paréntesis interiores
[tex]-21 * \{- [- 6 * 4] +0.7\} - 89[/tex]
Multiplicar -6 por 4
[tex]-21 * \{24 +0.7\} - 89[/tex]
Quitar todos los corchetes
[tex]-21 * 24.7 - 89[/tex]
[tex]-518.7 - 89[/tex]
[tex]=-607.7[/tex]
Donovan spent $5.75 at the fruit stand. He bought 3 apples and 2 oranges. He spent the rest of the money on bananas.
The question is incomplete:
Donovan spent $5.75 at the fruit stand. He bought 3 apples and 2 oranges. He spent the rest of the money on bananas. The image with the price per fruit is attached. How many bananas did Donovan buy?
A. 1 banana
B. 2 bananas
C. 3 bananas
D. 4 bananas
Answer:
D. 4 bananas
Step-by-step explanation:
First, you have to consider that the total amount paid is equal to adding up the results of multiplying the price for each fruit for the number of fruits purchased which would be:
Total cost=(3*0.75)+(2*1.25)+0.25x, x is the number of bananas
Total cost=2.25+2.5+0.25x
Now, you can replace the total cost with 5.75 that is the amount Donovan spent and solve for x:
5.75=2.25+2.5+0.25x
5.75-2.25-2.5=0.25x
1=0.25x
x=1/0.25
According to this, the answer is that Donovan bought 4 bananas.
-4(-6 - 2n) = 30 + 8n
Answer:
n=6/4
Step-by-step explanation:
-4(-6-2n)=30+8n
24+12n=30+8n
-24 =-24
12n=6+8n
-8n = -8n
4n=6
n=6/4
Help if don't know don't answer and link i will report
∠6 is an alternate interior angle to ∠3
∠5 corresponds to ∠7
∠7 is a consecutive interior angle to ∠6
∠8 is an alternate exterior angle to ∠1
Subtract:
8 1b, 12 oz. - 5 lb, 5 oz.
Answer:
wouldn't it be 3lb and 7oz
5 Filipe paid $250 for 5 video games. that were all the same price He used a deal that took $15 off his entire purchase. What was the original cost of each game?
Answer:
$53.00
Step-by-step explanation:
250+15=265
265÷5= 53
250 is the discounted price, 265 is the original price. Take the original oprice divide it by 5 (the number of games Filipe bought).
Answer: 53
Steps:
5x - 15 = 250
5x = 250 + 15
5x = 265
x = 265/5
x = 53
Check:
5x - 15 = 250
5(53) - 15 = 250
265 - 15 = 250
250 = 250 ✅
I would appreciate “the brainliest” if this was helpful, correct, and steps were clear :)
Please help if possible :)
A metal can is a cylinder with a radius of 3 in. and a height of 6 in.
What is the surface area of the metal can?
Use 3.14 for pi.
Enter your answer in the box.
in2
Answer:
169.56
Step-by-step explanation:
54*3.14 = 169.56
this is the answer on the test
Answer: 169.56
Step-by-step explanation:
I took the test
CAN SOMEONE PLEASE HELP ME
Luisa surveyed 25 students from her school and found that 1/5 of them had more than one hour of homework
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing you want to know the number of people that had more than one hour of homework. This will be:
= 1/5 × 25
= 5 people
Those that have less than one hour of homework will be:
= 25 - 5
= 20 people
HELPPPPPPPPPPPPPPPPP
Answer:
I assume you are finding for z so
z=
Step-by-step explanation:
34+66 = -32+z+32
100 = -32+z+32
132 = z+32
100 = z
z = 100
help
me
im so lost lol
Answer: 10.2
Step-by-step explanation:
Use the Pythagorean Thoerem
[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]
[tex]b=\sqrt{104}\\\\b=10.2[/tex]
Answer:
x = 10.2
Step-by-step explanation:
the exact solution is 10.19804
3. STOCK A computer stock lost 2 points
each hour for 6 hours. Find the total
points the stock fell.
Answer:
12
Step-by-step explanation:
if you add up 2, 6 times it would be 2,4,6,8,10,12
or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start
please help me match them
Answer:
.
Step-by-step explanation:
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answer:
0
Step-by-step explanation: i did the lesson
A cable is 60 meters long.How long is it in decimeters
Answer:
600
Step-by-step explanation:
cus
Answer:
600 decimeters
Step-by-step explanation:
60 times 10
A six faced dice is rolled 6 times. Find the probability of getting at LEAST one 3.
Answer:
it's a 1/6 chance because it's a 6 faced dice
How do you know if an equation represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate.
Step-by-step explanation: brainllest pls
Simplify and solve for x: 54x + 20) = 7x + 30
Answer:
10/47
Step-by-step explanation:
54x+20=7x+30
54x-7x+20=30
47x+20=30
47x=30-20
47x=10
x=10/47
CAN SOMEONE WHO IS GOOD AT MATH HELP PLEESE !! ALSO PLEASE PUT ACTUAL ANWSERS I DONT OPEN SKETCHY FILES ON MY COMPUTER !!
Step-by-step explanation:
THE Question Satisfies For All The Graph