The student used the wrong trig ratio. They should use cosine instead.
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\[/tex]
If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.
Answer:
x = 71.9 degrees
Step-by-step explanation:
cos x= 9÷29
cos x= 0.31
x =cos-1(0.31)
x = 71.9 degrees
what is factorial of 100
Answer:
9.332621544^157
Step-by-step explanation:
formula to calculate factorial : n×(n-1)×(n-2)×(n-3)...3×2×1
So,
100×(100-1)(×100-2)×(100-3)...3×2×1
100×99×98×97×3×2×1
=564,656,400 Answer
Plz someone help me out in this
Answer:
0.17
Step-by-step explanation:
41×cos(D) = 9
cos(D) = 9/41
=>
in a circle with the radius of 41 the point on the circumference of the circle for the angle D has an x-distance from the center of the circle of 9.
therefore, cos(D) = that x-distance divided by the radius (as the trigonometric functions only deliver the values for the norm circle with radius 1).
what is the y-distance (sin(D)×41) ?
r² = x² + y²
41² = 9² + y²
1681 = 81 + y²
1600 = y²
y = 40
therefore, sin(D) = 40/41
tan(D) = sin(D)/cos(D)
you know how to divide 2 fractions with each other ?
by multiplying the 2 outer factors (to top-most and bottom-most) as the top part of the result, and by multiplying the 2 inner factors for the bottom part of the result.
(40/41 - 9/41) / (40/41 / 9/41) =
= 31/41 / (40×41 / 9×41) = 9×41×31 / 40×41×41 =
= 9×31 / 40×41 = 279 / 1640 ≈ 0.17
5(x+y)-3(x-y) A. 2x B. 2x+2y C. 2x+8y D. 8x+8y
(30 points PLS HElP)
Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base.
Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
V =äa2h
Here, ais the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
2+
= 0 can be used to find that the
length of the sculpture's base is
centimeters.
Step-by-step explanation:
the answer is in the image above
Answer:
x = 9 cmHope this helps you.
two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die
Answer:
S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36
E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15
Step-by-step explanation:
thats the answer
Helppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeee
Answer:
1/ 3^6
Step-by-step explanation:
We know that a^b / a^c = a^(b-c)
3^-7 / 3^-1 = 3^(-7 - -1) = 3^(-7+1) = 3^(-6)
We know that a^ -b = 1/ a^b
3^-6 = 1/ 3^6
PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠B ≅
A. ∠D
B. ∠A
C. ∠C
D. ∠E
Answer:
Angle B is congruent to Angle E.
Step-by-step explanation:
Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything
In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.
What is CPCT?
Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.
Since, ΔABC ≅ ΔDEF,
AB = DE
BC = EF
AC = DF
∠A = ∠D
∠B = ∠E
∠C = ∠F
Learn more about CPCT here
https://brainly.com/question/21360865
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Anyone know the answer to this?
Answer:
Diameter : 22.568 cm
Step-by-step explanation:
Hope this Helps!
PLEASE HELP I ONLY HAVE A FEW MINUTES LEFT!!
If the graph is translated 3 units right and 8 units down, what is the new equation of the function?
y= |x-4| +2
y= |x+1| -3
y = |x+4| +2
y = |x-1| -3
Answer:
Should be B
Step-by-step explanation:
I believe you just move the point that lines converge down 8 and to the right 3. Then you multiply the x-value by -1.
What is the simplest radical form of the expression? (8x5y3)23
This may be incorrect, so sorry if it is! The answer I got is 2760y.
x°
1
63°
m
n
find the value of x
Answer:
I believe its 63°......,.,..,.,.,.,
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2
Answer:
-10
Step-by-step explanation:
y-5y+2
=3-5 x 3+2
Using the rule of BODMAS
=3-15+2
=3-13
= -10
OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱Which 2 of these triangles have the same angles as each other? NEED ANS ASAP GIVING U 15points
hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t have to! okay but I need this done asap! thank you so much have a amazing day!!! :) *spam? May b!*
Answer:
1) 1 and 4
2) 1 and 2
3) 1 and 5
4) 2 and 3
5) 130°
6) 90°
7)25°
8) 115°
Solve for y.
3= y+7 divided by 3
Y=
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
Hey there, please help me. Thank you
Answer:
x=5
Step-by-step explanation:
32 = 2^x
Rewrite 32 as 2^5
2^5 = 2^x
Since the bases are the same, the exponents are the same
5 =x
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]2^{5}=2*2*2*2*2=32[/tex]
Hope this helps
The perimeter of the outer square in thiæ pattern is 8
Ron says, “The perimeter of the inner square is 4"
Do you agree with Ron? Yes
Show workings to support your answer.
Answer:
The answer is Yes .. Ron is correct
Step-by-step explanation:
This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.
Each side of the inner square divides the outer square into two making each side 1 unit.
The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.
Please answer either or all of them and please show me how you solve it
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
4^2 + y^2 = 21^2
16 + y^2 = 441
y^2 = 441 - 16
y^2 = 425
[tex]y = \sqrt{425}[/tex]
[tex]y = 5\sqrt{17}[/tex]
y = 13.2
a^2 + b^2 = c^2
4^2 + x^2 = 7^2
16 + x^2 = 49
x^2 = 40 - 16
x^2 = 33
x = [tex]\sqrt{33}[/tex]
x = 5.7 m
What is the area of the polygon given below?
Answer:
C, which is 340!
Step-by-step explanation:
Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)
The area of polygon = 340 square units.
How to estimate the area of the polygon?Area of rectangle = Length [tex]\times[/tex] [tex]\tmes[/tex]breadth
Area of rectangle (side A) = 19 [tex]\times[/tex] 4 = 76
Area of rectangle (Side B) = 24 [tex]\times[/tex] 14 = 264
To estimate the area of the polygon, add both of the equations then we get
Area of the polygon
= Area of a rectangle (side A) + Area of a rectangle (Side B)
= 76 + 264
Area of the polygon = 340 square units.
Therefore, the correct answer is option C. 340 square units.
To learn more about polygon
https://brainly.com/question/20110859
#SPJ2
Fern bought groceries that cost $14.38. She paid the
store clerk, Ping, with a $20 bill. Ping makes change by
saying
2 pennies makes the total $14.40.
6 dimes makes it $15.00, and
6 dollars makes it $20.
pril
Did the clerk make a mistake in giving Fern her change?
You may use the scratchpad to show your work.
No, she received $6.62 in change.
8
Yes, Ping should give Fern 6 pennies and 2
dimes.
Yes, Ping should give Fern 3 dimes and 8
pennies.
Yes, Ping should give five one-dollar bills, not
SIX
I NEED HELP ASAP SOMEONE ANSWER AS SOON AS YOU CAN MAYBE YEA THANKS BYE
Answer:
Yes, Ping should give five one-dollar bills, not
SIX
Step-by-step explanation:
I answered this question on
https://brainly.com/question/23795763
It wasn't the same question but yes
PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEE WITH THIS I DO ANYTHING JUST HELP
Task #4 Gamers and Game World
Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.
a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.
b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.
c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.
d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.
e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.
f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?
Answer:
a)....it would cost 12 dollars
the equation is.... 2x 6(number of downloads)
b) C = 15 + (dx0.5)
c) the graph represents gamers price model
d) gamers would be cheapest
gamers would be 8 x 2 = 16
gameworld would be 15(monthly subs) plus 0.50 x 8 (4 dollars) = 19
e) totally depends upon the number of games downloaded by each person.
for up to 10 games per month Justin is on the best deal
exactly 10 games per month makes both deals equal
over 10 games per month Kenny is on the best deal
write an equation of the line in standard form that represents each graph
Answer:
x+y=3
Step-by-step explanation:
y=mx+b
m=-1
b=3
y=-x+3
add x over for standard form
x+y=3
Slope of (-5,12), ( -9, 16)
How do I solve a system of equations algebraically with a substitution method and then write it as a coordinate point?
y = 3x -17 and y = -2x + 8
Ratio Question:
Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.
Answer:
i dont under stand but i will just ask for help to my father
Step-by-step explanation:
i dont wnow the answer!???
Answer:
Step-by-step explanation:
[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]
[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]
[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]
[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]
[tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]
[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]
Therefore ,
Florence earned $24
Anona earned 24 + 16 = $40
Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32
To make 3 glasses of orange squash you need 600 ml of water. How much water do you need to make: a) 5 glasses of orange squash, b) 7 glasses of orange squash?
Answer:
To make 3 glasses of orange squash you need 825 ml of water and 75 ml of orange cordial
Step-by-step explanation:
Alissa's budget is shown in the circle graph below. Her total monthly budget is $1,500. How much dos Alissa spend on rent?
Answer: C) $450
Step-by-step explanation:
If her rent is 30% of her total budget we can multiply by 0.3 to find how much is spent on rent.
1500x0.3=450
Alissa spends $450 on rent.
Answer:
C
Step-by-step explanation:
1. Find how much 30% of $1500
(30/100) x $1500 or ($1500 x 100)/30
2. Finish.
Hope this helps
como se lee log 27=3
Step-by-step explanation:
log 27 a la base 3 = 3 (In spanish)
log 27 to the base 3 = 3
somebody help me out !
Answer:
224
Step-by-step explanation:
Hello!
To find f(-7) you simply plug the value, -7, into the function.
This will get you:
f(-7) = 4(-7)^2 - 4(-7)
Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!
This will get you:
f(-7) = 4(49) - 4(-7)
f(-7) = 196 - (-28)
f(-7) = 224
Hope this helps!