Answer:
Sin 18° = cos 72° and sin 72° = cos 18°
Step-by-step explanation:
According to trigonometry identity;
sin Ф = cos(90 - Ф)
for Sin 18° = cos 72
Ф = 18°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 18 = cos(90 - 18)
Sin 18 = cos 72
Hence the statement id true
For sin 72° = cos 18
Ф = 72°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 72 = cos(90 - 72)
Sin 72 = cos 18
Hence this statement too is correct
The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°
Patti starts out on day 1 with $0.01 and doubles her money each day to create a sequence of $0.01, $0.02, $0.04, $0.08 and so on. How much money should she have on day 12 ?
A. $9.60
B. $10.24
C. $20.48
D. $40.96
Answer:
D.40.96
Step-by-step explanation:
1-.01×2=.02
2-.02×2=.04
3-.04×2=.08
4-.08×2=.16
5-.16×2=.32
6-.32×2=.64
7-.64×2=1.28
8-1.28×2=2.56
9-2.56×2=5.12
10-5.12×2=10.24
11-10.24×2=20.48
12-20.48×2=40.96
Brody's family took a road trip to Niagara Falls. Brody slept through the last 6% of the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Brody fell asleep?
Answer:
282
Step-by-step explanation:
100⋅x=300⋅94
Cross multiply
100
100x
Divide both sides by 100
282
what's the value of
[tex] = > 25 \times 386 + 3219 \div 2[/tex]
Answer:
11259.5Step-by-step explanation:
25 × 386 + 3219 ÷ 2 = 9650 + 1609.5 = 11259.5Answer:
11259.5
Step-by-step explanation:
25×386+3219÷2
Multiply 25 and 386 to get 9650.
9650+3219/2
Convert 9650 to fraction 19300/2.
19300/2+3219/2
Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.
19300+3219/2
Add 19300 and 3219 to get 22519.
22519/2
Divide 22519 by 2 to get 11259.5.
11259.5
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet, 6 feet by 5 feet by 4 feet, 7 feet by 6 feet by 4 feet, 8 feet by 3 feet by 7 feet, 8 feet by 4 feet by 3 feet
Answer:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
ramon has 6.75 kg coffee. he wants 0.25 kg bags. how many bags does he need?
Answer:
Ramon would need 27 bags
Step-by-step explanation:
This is because if you divide 6.75 by 0.25 you would get 27
Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.
To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.
Total weight of coffee = 6.75 kg
Weight of each bag = 0.25 kg
Number of bags = Total weight of coffee / Weight of each bag
Number of bags = 6.75 kg / 0.25 kg
Calculating this division, we find:
Number of bags = 27
Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.
To know more about bags click here :
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Question how do I find the value of x?
Answer:
20
Step-by-step explanation:
The total degrees in a circle is 360 degrees
x+40+2x+110+3x+90 = 360
==> 6x = 120
x = 20
Answer:
The answer would be x=20
I think of a number I double it and subract two I get nine
Answer:
5.5
Step-by-step explanation:
Let [tex]x[/tex] be equal to the number.
1) Convert the clues into an equation
If you double it ([tex]2x[/tex]) and subtract two ([tex]-2[/tex]), you get 9 ([tex]=9[/tex]).
[tex]2x-2=9[/tex]
2) Solve the equation
[tex]2x-2=9[/tex]
Add 2 to both sides
[tex]2x-2+2=9+2\\2x=11[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{11}{2} \\x=5.5[/tex]
Therefore, the number is 5.5.
I hope this helps!
Pls help I don’t understand
Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.
Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
Write and solve an equation to find the amount of money Victor used to buy the Game Boy.
A circular garden has a diameter of 10 yards. What is the area of
the garden? Use 3.14 for iz
HELPPP?? ASAPP???
Answer:
Step-by-step explanation:
you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5
Find the length of side x.
Give your answer to 1 decimal place.
105°
18 cm
15 cm
Х
Marcus had to get dressed quickly for school. He had two pairs of pants, two shirts, two ties, and two jackets to choose from. If he randomly chose one of each type of clothing item how many different outcomes were possible. a.4 b.16 c.32
please help having a bad day:/
Maths homework volumes anyone can help?
Answer:
1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......Step-by-step explanation:
look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5 c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearlyWhich equation represents a line which is parallel to line y = -2x - 1 ?
I need help with this
Resolver para u.
10u= bu + 20
Simplificar la respuesta tanto como sea posible.
U =
.
.
x 5 ?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
Answer:
23
Step-by-step explanation:
The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23
What is the Interquartile range?An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.
The formula to calculate interquartile range is:
IQR = Q₃ - Q₁
where;
Q₃ is third quartile
Q₁ is first quartile
The given points when arranged in increasing order gives us:
13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27
Q₁ is the (n + 1)/4 terms = 3rd term.
Thus; Q₁ = 17
Q₃ is 3(n + 1)/4 term = 9th term.
Thus; Q₃ = 24
Then; IQR = 24 - 17
IQR = 7
The desired interquartile range should decrease by 1 point. Thus;
Desired IQR = 7 - 1 = 6.
To find the score of the 12th game, let us try 23 points as the score of the 12th game:
Thus;
Q₁ = 17.5
Q₃ = 23.5
IQR = 23.5 - 17.5
IQR = 6
Thus, required number of points is 23.
Read more about Interquartile Range at; https://brainly.com/question/3859769
In the triangle shown below, the side lengths are given in terms of x.
What is the length of the longest side of the triangle when x=8
Step-by-step explanation:
In a triangle, the hypotenuse is the longest side
=>7x+3
=7(8)+3
=56+3
=59
Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume? (Hint: Start by finding the volume of Cylinder A.)
Answer:
6
Step-by-step explanation:
Answer:
h=8 in
Step-by-step explanation:
Formula: V=pi r^2 h
Cylinder A:
radius: 4 in height: 2 in
V=pi*4^*2*2
V=pi*16*2
V=pi*32
V=3.14*32
V=100.48
Cylinder B:
radius: 2 in height: ? volume: 100.48
100.48=pi*2^2*h
100.48=pi*4*h
100.48=3.14*4*h
100.48=12.56*h
100.48/12.56=h
h=8 in
Hope this helps :)
Plz give me brainliest
I NEED HELP ASAP! PLEASE!!!
If (x²- 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
(x + 2)x____= x² - 4
O x² – 4
OX-2
O x + 2
O x²-2
Answer:
x-2
Step-by-step explanation:
(x+2)× ___=(x+2)(x-2)
___=(x+2)(x-2)/(x+2)
___=x-2
The polynomial which should be filled in the blank is (x - 2).
What are Polynomials?Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.
Given that,
x² - 4 = (x + 2) (x - 2).
We have to find the blank space.
By commutative property, the other side is also equal.
That is,
(x + 2) (x - 2) = x² - 4
Hence the correct option is (x - 2).
Learn more about polynomials here :
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PLEASE HELP!!!!!
find the area of the polygon.
Answer:
2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is
Answer:
208 cm²
Step-by-step explanation:
14 cm × 16 cm = 224 cm²
14 cm - 6 cm = 8 cm
8 cm × 2 cm = 16 cm²
224 cm² - 16 cm² = 208 cm²
Combine like terms to simplify the following expression:
12x + 4y - 3x + 2 - 8y2 + 3^2
Answer:
−8y^2+9x+4y+11
Step-by-step explanation:
=12x+4y+−3x+2+−8y^2+9
Combine Like Terms:
=12x+4y+−3x+2+−8y^2+9
=(−8y^2)+(12x+−3x)+(4y)+(2+9)
=−8y^2+9x+4y+11
Good luck <3
Answer:
-8y^2+9x+4y+8
Step-by-step explanation:
^ refers to squared in my answer
When two rays have a common _________, they form a(n) _________.
A
vertex, angle
B
angle, vertex
C
angle, line segment
D
vertex, line segment
(this is for 7th grade by the way)
Someone please please help
Answer:
The amount of apples is the Xs and The cost is the Ys
Step-by-step explanation:
a.55.48.27.12.0
b.62.40.9.3.25.
c.1.8.13.29.42.
d.15.34.0.7.28
of the following shows an arrangement of an integer from least to greatest
Answer:
C
Step-by-step explanation:
a) 55 > 48 > 27 > 12 > 0 ×
b) 62 > 40 > 9 > 3 < 25 ×
c) 1 < 8 < 13 < 29 < 42 ✓
d) 15 < 34 > 0 < 7 < 28 ×
Amy earned $25 after
babysitting for 3 hours. If
she dways charges the
same rate, how much will she
make after working for 7
hours
Answer:
58.33
Step-by-step explanation:
8.33 per hour
Mulitply by 7 and get 58.33
What improper fraction is equal to 8 1/6?
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
HELP HELP PLEASE!! D:
Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!
What is AC?
А
А
D
5
B