The answer is in the image
Express cos K as a fraction in simplest terms
Answer:
Step-by-step explanation:
You don't need to solve for IJ so don't.
Cos(J) = adjacent / hypotenuse
adjacent = 5
hypotenuse = 23
Cos(J) = 5/23
The school cafeteria sells three different types of sandwiches: chicken, turkey, and roast beef.
Chicken sandwiches sell for $3, turkey sandwiches sell for $3.50, and roast beef sandwiches sell for $4. The cafeteria makes 500 sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in $1730. If the cafeteria makes the same number of chicken sandwiches as it does turkey sandwiches, how many of each type of sandwich does the school make? Show your work using any method you prefer.
By using a system οf equatiοns, the schοοl makes 180 chicken sandwiches, 180 turkey sandwiches, and 140 rοast beef sandwiches.
What is a system οf equatiοns?A system οf equatiοns is a set οf twο οr mοre equatiοns that need tο be sοlved tοgether tο find the values οf the variables that satisfy all οf the equatiοns.
Let's use a system οf equatiοns tο sοlve the prοblem.
Let c be the number οf chicken sandwiches sοld, t be the number οf turkey sandwiches sοld, and r be the number οf rοast beef sandwiches sοld.
Frοm the prοblem, we knοw that:
c + t + r = 500 (the tοtal number οf sandwiches sοld is 500)
3c + 3.5t + 4r = 1730 (the tοtal revenue frοm selling all sandwiches is $1730)
We alsο knοw that the cafeteria makes the same number οf chicken sandwiches as it dοes turkey sandwiches, sο: c = t
Nοw we can substitute c fοr t in the first twο equatiοns:
c + c + r = 500
3c + 3.5c + 4r = 1730
Simplifying these equatiοns, we get:
2c + r = 500
6.5c + 4r = 1730
We can sοlve fοr r in the first equatiοn:
r = 500 - 2c
Substituting this intο the secοnd equatiοn and sοlving fοr c, we get:
6.5c + 4(500 - 2c) = 1730
6.5c + 2000 - 8c = 1730
-1.5c = -270
c = 180
Sο the cafeteria sells 180 chicken sandwiches and 180 turkey sandwiches (since c = t). We can find the number οf rοast beef sandwiches by substituting c and t intο οne οf the οriginal equatiοns:
c + t + r = 500
180 + 180 + r = 500
r = 140
Therefοre, the schοοl makes 180 chicken sandwiches, 180 turkey sandwiches, and 140 rοast beef sandwiches.
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evaluate [(- 5/4) ^ - 2] ^ 3
Answer:
4096/15625 or
0.262144 or
(4/5)^6
Can someone help me with this question?
5/6 is the value of b.......
Find the area of this semi-circle with radius,
r
= 15cm.
Give your answer rounded to 1 DP.
Answer:
Semicircle = 353.25 cm²
Step-by-step explanation:
Area of semicircle = πr²/2
substitute the values
semi circle = 3.14 × 15 × 15 / 2
Area of semicircle = 353.25 cm²
Three
consecutive
inirgers
17
The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is
150 inches, find the dimensions.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Applying the sine rule the value of side w is calculated to be 6.2
How to find the size of wThe size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal
the formula is
Sin A / a = Sin B / b = Sin C / c
applying the formula for the problem
Sine W / w = Sine X / x
plugging in the values
Sine 38 / w = Sine 84 / 10
cross multiplying
w = 10 x Sin 38 / Sine 84
x = 6.185
x = 6.2 to the nearest tenth
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Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.
Answer:
fsuu vvv
Step-by-step explanation:
gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings
if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Liz flips a coin 40 times. The coin lands heads up 12 times and tails up 28 times. Complete each statement. The theoretical probability of the coin landing heads up is nothing %. (Type an integer or a decimal.) Based on Liz's results, the experimental probability of the coin landing heads up is nothing %. (Type an integer or a decimal.) The theoretical probability is ▼ less greater than the experimental probability in this experiment.
Answer:
so you takeway 40 by 28 you get 12+12=24%
Answer:
i got
50 %
30%
greater
Step-by-step explanation:
It is 1.9 miles from a house to a restaurant and 1.2
miles to a pier, as shown at the right. The angle
between the two lines of sight is 87°. How far is it from
the pier across the water to the restaurant.
9514 1404 393
Answer:
2.2 miles
Step-by-step explanation:
The Law of Cosines can be used to figure this.
c² = a² +b² -2ab·cos(C)
c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348
c ≈ √4.811348 ≈ 2.193
It is about 2.2 miles across the water from the pier to the restaurant.
I WILL GIVE YOU BRAINLIEST JUST HELP ME PLEASE!!!!!
Answer:
B. The graph of K has a greater y-intercept
D. The graph of J has a greater slope.
Step-by-step explanation:
Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.
Y-interceptThe y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.
We see from the equation for function K that the constant is 8. This is the value of y when x=0.
Function K has the greater y-intercept (8 vs. 2).
SlopeThe slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.
The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.
Function J has the greater slope (5 vs. 3).
Additional comment
Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.
A particular color television has a rectangular screen with a 23.5 in. width. It’s height is 18.1 in. What is the length of the diagonal of the screen, to the nearest tenth of an inch? The diagonal of the screen is __ in.(Round to the nearest tenth as needed.)
Given:
A particular color television has a rectangular screen with a 23.5 in. width. It’s height is 18.1 in.
Required:
To find the length of the diagonal of the screen.
Explanation:
Let l be the length of the diagonal of the screen.
From the given data
\(\begin{gathered} l=\sqrt{23.5^2+18.1^2} \\ \\ =\sqrt{552.25+327.61} \\ \\ =\sqrt{879.86} \\ \\ =29.6624 \\ \\ l=29.7in \end{gathered}\)Final Answer:
The length of the diagonal of the screen is 29.7in.
A correlation of r = 0.35 is?
moderate and positive
strong and positive
weak and positive
Answer:
r = 0.35 is Moderate and positive
Step-by-step explanation:
A correlation of r = 0.35 represents a moderate and positive relationship between two variables.
Area of a trapezoid
Answer:
A=(a+b/2)h
Step-by-step explanation:
a over b devided by 2 times h
A sunglasses store bought $5,000 worth of sunglasses. The store made $9,000. making a profit of $20 per pair of sunglasses. There were? pairs of sunglasses involved.
Answer: 200 pairs
Step-by-step explanation:
The store made a profit of $9,000 - $5,000 = $4,000.
Since they made a profit of $20 per pair of sunglasses, we can divide the total profit by $20 per pair to find out how many pairs of sunglasses were involved.
So, the number of pairs of sunglasses is $4,000 / $20 = 200 pairs.
given 5x-y=16, solve for y
Answer: y = 5x - 16
Step-by-step explanation:
Add y to both sides of the equation:
5x - y + y = 16 + y
5x = 16 + y
Subtract 16 from both sides:
5x - 16 = 16 + y - 16
5x - 16 = y
Rearrange:
y = 5x - 16
Can someone help with this?
Answer: Its definitely 7.2 for the first two and 4.5 on the last one to the right
Step-by-step explanation: i did the quiz
Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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Use the number line below to answer the question.
-I---I---I---I---I---I---I---I---I---I---I-
-5 -4 -3 -2 -1 0 1 2 3 4 5
What is 3 - 6?
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? Explain.
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square?
(Picture, and answer options below)
1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
How to explain the parallelogramThe diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.
Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.
In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
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What is the value of the 10th term in this arithmetic sequence?
2,5,8,11,...
a clock chimes once at 1, twice at 2
Answer:
3 times at 3
Step-by-step explanation:
Last one, please help: (Due 9/8)
Answer:
a
Step-by-step explanation:
How much interest will $1,200 earn over 10 years with 5% interest compounded annually
Answer:
$1,954
Step-by-step explanation:
Jeff is standing on the 10 m diving platform. His coach is on the ground to the left of him, while his parents are on the ground to the right of him. His coach is looking at him at an angle of 37 degrees with the ground, while his parents are looking at him at an angle of 32 degrees with the ground. If the angle at the base of the platform between Jeff’s coach and Jeff’s parents is 100 degrees, how far apart are his coach and his parents to the nearest meter?
Answer:
29 m
Step-by-step explanation:
Since Jeff's coach is at the left of the platform and the platform at an angle of elevation of 37° and Jeff's parent's are on the right of the platform with the platform at an angle of elevation of 32°. The line of sight of Jeff's coach, the distance between Jeff's coach and parents and the line of sight of Jeff's parents form a triangle.
Since the platform is 10 m high, it is a perpendicular to the base of the triangle.
This perpendicular bisects the original triangle into two right angled triangles - one on the left and one on the right - with base angle 37° and 32° respectively.
Using trigonometric ratios with the opposite side to each angle the height of the platform from the ground (10 m) and the opposite angles 37° and 32° respectively, then the length of each base is gotten from
tan37° = 10/L and tan32° = 10/L' where L and L' are the lengths of each base of the two right angled triangles respectively.
So, L = 10/tan37° = 10/0.7536 = 13.3 m and L' = 10/tan32° = 10/0.6249 = 16 m.
The length d = L + L' is the distance between Jeff's coach and Jeff's parents
So, d = L + L'
= 13.3 m + 16 m
= 29.3 m
≅ 29 m to the nearest meter.
Note that we do not need the third angle in the triangle which is 100° the angle of separation between Jeff's coach and Jeff's parents which is at the base of the platform.
NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality.
a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0
b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0
c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π
Answer:
Step-by-step explanation:
a. x is negative: x < 0
b. y is nonnegative: y ≥ 0
c. q is less than or equal to π: q ≤ π
Answer:
a.
2. x < 0
b.
2. y ≥ 0
c.
5. q ≤ π
Step-by-step explanation:
To express the given statements as an inequality, we need to determine the relationship between the given quantities.
a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.
b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.
c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.
Calculate the root mean square velocity, in m/s, of Ne at 273.0 K. Assume ideal gas behavior.
I meant to put this in chemistry
The root mean square velocity of Neon, in m/s as required in the task content is; 18.45 m/s.
What is the root mean square velocity of Neon as required?It follows from the task content that the root mean square velocity of Neon is to be determined.
Since the molar mass of Neon is; 20 while the gas constant, R = 8.314 and T = 273K.
It follows from the root mean square velocity formula that we have;
R.M.S = √(3RT/M)
R.M.S = √{(3×8.314×273)/20}
R.M.S = √340.46
R.M.S = 18.45 m/s.
Hence, the root mean square velocity of Neon, Ne under the given condition is; 18.45 m/s.
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Find the roots x^2-13x+30=0
(numbers only)
Answer:
Find the roots of x^2-13x+30=0 by solving for x
x= 10,3
Step-by-step explanation:
A factory building built for $400,000 depreciates continuously at 10% per annum. What is its value after 7 years?
Answer:
198,634
Explanation:
Substitute the given values into the formula: A = Pe^(−rt), where A represents the future value, P represents the initial (current) value, r represents the rate, and t represnts the time.
A = 400,000e^(-0.10)(7)
A = 198634.12
The value of building depreciation after seven-year is $191,318.76
Depreciation based problem:What information do we have?
Value of building = $400,000
Depreciation rate = 10%
Number of year = 7 year
Value of building after depreciation = P(1-r)ⁿ
Value of building depreiciation = 400,000(1-10%)⁷
Value of building depreciation = 400,000(1-0.1)⁷
Value of building depreiciation = 400,000(0.9)⁷
Value of building depreiciation = 400,000(0.4782969)
Value of building depreciation = $191,318.76
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