Answer:
If you draw the picture you see that your rectangle
will form a box 14 inches by 9 inches by 3 inches high
20 inches - 3 inches - 3 inches = 14 inches
15 inches - 3 inches - 3 inches = 9 inches
The height is formed by the dimensions of where
you cut out the 3 inch squares
The volume of a box is found by multiplying
length x width x height
The length is 14 inches
The width is 9 inches
The height is 3 inches
Step-by-step explanation:
here easy
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
5/8-(1/4) to the power of 2
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] - [tex](\frac{1}{4}) ^{2}[/tex]
= [tex]\frac{5}{8}[/tex] - [tex]\frac{1}{16}[/tex]
= [tex]\frac{10}{16}[/tex] - [tex]\frac{1}{16}[/tex]
= [tex]\frac{9}{16}[/tex]
Which of the following best represents the solution to this system (3x+2y<2
Answer:
y < (2 - 3x)/2.
Step-by-step explanation:
(3x+2y)<2
2y < 2 - 3x
y < (2 - 3x)/2
what is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5?
Answer:
y= mx+c
-4= -3/5(-5) + c
-4= -3/5 *-5+ c
-4=3+c
-4-3=c
-7=c
therefore the equation of the line is y=-3/5x-7
Step-by-step explanation:
the equation of a line is
y=mx +c
where y is the y coordinate
where m is the slope
where x is the x coordinate
where c is the y- intercept
If x-1/x=3, find the value of x^2+1/x^2
please show steps too…
Answer:
5
Step-by-step explanation:
x=-1/2
Please answer for last question
Step-by-step explanation:
since you know already that it is a linear equation with a constant change rate (slope), you don't know the equation itself yet ?
you found the change rate (slope).
it is x goes up by 2, and y goes down by 6.
the slope is the ratio y/x representing the y and x changes, and it is always the factor of x.
"down" or "left" means "-","up" or "right" means "+".
the slope here is therefore
-6/2 = -3/1 = -3
so, we know the line function looks like
y = -3x + b
to get b we use one of the x y pairs like (1. 4)
4 = -3×1 + b
7 = b
and the full line function is
y = -3x + 7
helppppppppppppppppppppppppppppppppppppppppppp sorry for that
Answer:
a)2 * 2 = 4
b)2 * 3/2 = 3
c) 20 * 3/2 = 30
d) 100 * 8/5 = 160
e)473*1/100=4.73
f)111*1/100=1.11
Answer:
answers are written
Step-by-step explanation:
2xx671.0please help if you dont know dont answer!!!
Answer:
(6,3), (10,5),(14,7)
Step-by-step explanation:
6/3 = 2
10/5 = 2
14/7 = 2
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 : 4 : 7.
Answer:
20 20 35
Step-by-step explanation:
4+4+7 then divide by 75 whatever answer you get multiplyy by the 4 or the other 4 or the 7
describe system of linear equations using practical situation and mathematical expressions
pahelp pooo
Answer:
A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.
what is the equivalent value
1/2×6
Answer:
3
Step-by-step explanation:
Answer:
3Step-by-step explanation:
what is the equivalent value
1/2×6?
1/2 * 6 =
3
Just give me an answer please
Answer:
Step-by-step explanation:
option 2, gl
Answer:
A and C
Step-by-step explanation:
What is the greatest common factor of 8m2, 4m, and 10m4?
Answer:
2m²
Step-by-step explanation:
Apply the prime factorization method: 2³m², 2 · 5m⁴
Find the greatest common divisor: 2m²
Answer: 2m²
given that m 2 = 56 in the diagram what is m 8
A 134
B 66
C 124
D 56
Solve each division problem, and classify it based on its quotient.
Answer:we are not your servers to that i should solve this problems
Step-by-step explanation:
Answer:
I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1
Step-by-step explanation:
Can you guys tell me the answer to this question?
Answer:
I get the answer 52°......................
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
What fraction of a full box was there before Heba ate?
Answer:
5/6
Step-by-step explanation:
1/12 + 3/4 = 9/12
9/12 + 1/12 = 10/12
simplify 10/12
= 5/6
please if you can i urgently need help thank you very much
Answer:
1/4
Step-by-step explanation:
2^7/2^9 = 1/2^2
1 4/5 x 7 1/5 help mee
Answer: 355/70? correct me if im wrong :-)
Step-by-step explanation:
Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a set of seat covers for the price shown.
A photo of two seat covers is shown. A price tag reads, Sale, fifty dollars.
Answer:
$750 that is the answer if you add them all up
Please Answer correctly
Answer:
I Think 2.
Step-by-step explanation:
If im correct pls give brainliest im tired thx! :D
[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]
[tex]\huge\underline\mathsf\colorbox{white}{2}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{I'm Sure}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]
The density of the gold sample is 19.3g/cm³
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Tell whether the ordered pair (2, 5) is a solution of the system of linear equations.
x + y = 7
2x – 3y = -11
Rewrite the following equation in slope-intercept form.7x − 15y = –18
Answer:
Y = 7/15x + 6/5
Step-by-step explanation:
7x - 15y = -18
7x = 15y - 18
7x + 18 = 15y
7/15x + 6/5 = y
Hope this helps! Pls give brainliest!
We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation
7x - 15y = - 18
7x + 18 = 15y
⁷/₁₅ x + ¹⁸/₁₅ = y
∴ the slope-intercept form of 7x − 15y = –18 is y = ⁷/₁₅ x + ⁶/₅
Evaluate for a:
69 = 13 - 7/12a
Answer:
-96
Step-by-step explanation:
69-13=13-7/12a-13
56=-7/12a
56 times 12=-7/12 times 12
672=-7a
Move negative over
-672=7a
-672/7=a
a=-96
in a class of 80 students 3/4 study biology and 3/5 study physics. if each student studies at least one of the subjects. (1) Draw a venn diagram to represent this information. (2) how many students study both subjects (3) find the fraction of the class that study Biology but not physics
According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.
Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:
Biology: 80 x 3/4 = X 80 x 0.75 = X 60 = X Physics: 80 x 3/5 = X 80 x 0.60 = X 48 = X 60 + 48 - 80 = X 108 - 80 = X 28 = XTherefore, 28 students study both subjects.
68 - 28 = 40 80 = 1 40 = 1/2Therefore, 1/2 of the class studies biology but not physics.
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a
=
670
rounded to the nearest 10
b
=
72.7
rounded to 1 DP
Find the minimum (to 2 DP) of
a
÷
b
Answer:9.22
First, 670 rounded to the nearest ten is:
670
Second, 72.7 rounded to 1DP is:
well, 72.7
a÷b is:
9.2159
9.22 (2 DP)
Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long.
When does her lesson end
Answer:
The lesson ends at 5:15 pm.
Answer:
Her piano lesson ends at 5:15pm
Hope it helps:)
CAN SOMEONE PLZ HELP WITH 6 I WILL MARK YOU BRAINLIEST!!!!!
Answer: I dont see anything....
Step-by-step explanation:
Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of
8.
Write an equation that shows how the total number of markers Mrs. Larsen gets, y, depends
on the number of boxes she buys,X.
y =
(i’ll crown brainliest to whoever answers first, i don’t need the explanation just the answer and how i’m supposed to write it out)
Answer:
y=8x
Step-by-step explanation:
hubsdgvgcsvya
The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;
⇒ y = 8x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mrs. Larsen wants to get some markers for her class.
She notices that they come in boxes of 8.
Now,
Let total number of markers = y
And, Number of boxes = x
Here, She notices that they come in boxes of 8.
So, We can formulate;
⇒ y = 8x
Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;
⇒ y = 8x
Learn more about the mathematical expression visit:
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