That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
What is tanθ?Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
tanθ = y/x, sinθ = x and cosθ = ySubstituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
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The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model
The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches
What is the area of a rectangle?The area of a rectangle is the multiplication of the length and the width of the rectangle.
The area of the rectangle is expressed as:
Area (A) = length (L) × width (w)
A = l × w
Given that:
width = xLength = 2x - 7Area = 72 in ²72 = (2x - 7) × (x)
72 = 2x² - 7x
2x² - 7x - 72 = 0
Using the quadratic calculator
x = 8 or x = -9/2
However, since our length/width distance can't be negative, then:
x = 8
width = 8 inchesLength = 2(8) - 7 = 9 inchesLearn more about the area of the rectangle here:
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Help me with this please
Answer: $5.00 is the range
Step-by-step explanation: Range is the largest number subtracted by the smallest, so $6 - $1 is $5.
Find the product. 526 x 9
Answer:
526 X 9= 4734 is the answer.
What is the formula for a surface area of a rectangular prism?
Answer:
[tex]\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Step-by-step explanation:
We know that the surface area is the sum of the area of the prism's faces.
It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:
[tex]\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )[/tex]
A model has been drawn of the rectangular prism. (image)
Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:
[tex]\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})[/tex]
[tex]\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
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Triangles ABC and DEF are congruent. Which of the following must be true?
A
Angles B and D are congruent.
B
Line segments AB and BC are congruent.
C
Line segments AB and DE are congruent.
D
Angles A, B, C, D, E and F are all congruent.
Answer: Line segments AB and DE are congruent.
Step-by-step explanation:
Given : Triangle ABC is congruent to triangle DEF .
We know that if two triangles are congruent then their corresponding sides and angles are congruent.
This property of congruent triangles are also known as CPCTC (corresponding parts of congruent triangles are congruent.)
Therefore,
m∠A=m∠D
m∠B=m∠E
m∠C=m∠F
AB=DE
BC=EF
AC=DF
From the given options the only right option is line segments AB and DE are congruent.
Answer:
Step-by-step explanation:
Answer: Line segments AB and DE are congruent.
Use the net to find the surface area of the regular pyramid. (OPEN TO SEE PICTURE) PLS ITS URGENT
By the combined area of the triangles and the base. The total surface area of the regular pyramid would be 197.1 ft^2.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
we need to find the areas of each triangle in the pyramid.
The area of base = 15.6
The area of each outer triangle = 1/2 x 9 x 12
= 54
There are 3 triangle
3 x 54 = 162
The total area will become
162 + 35.1
= 197.1
Therefore, The total surface area of the regular pyramid = 197.1 ft^2
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Can someone pls pls pls pls pls pls pls solve this page for us
Answer:
Depends on the statistics.
Step-by-step explanation:
I will need to see question 2 as it says in the instructions. I need to do this as the plot is based on that question.
An Olympic pool is rectangular with a length of 50 meters. Ms Burri wants to fit an Olympic pool in her backyard but doesn't have enough room so she plans to build a similar pool with a length of only 30 meters.
a. She wants to replace the pool deck around her new smaller pool. What is the ratio of the perimeter of the Olympic pool to the new smaller pool?
b. The area of the olympic pool is 1,2500 meters squared. If she were to buy a pool cover to fit her brand new smaller pool, what would the area be?
Perimeter of older
2(50+W)100+2WPerimeter of newer
2(30+W)60+2WAs w is constant cancel it
Ratio
100/605/3Ratio of area is also same
So
5/3=12500/x5x=37500x=37500/5x=7500m²Answer:
See below ~
Step-by-step explanation:
Finding perimeter of Olympic pool and regular pool :
P (olympic) = 2(l + w) = 2(50 + w) = 2w + 100P (regular) = 2(l + w) = 2(30 + w) = 2w + 60Taking the ratio :
2w + 100 : 2w + 60100 : 605 : 3Using ratios to find area of regular :
5 : 3 = 12,500 : aa = 12500/5 x 3 = 2500 x 3a = 7,500 m²2/3 - 3/5 = ?/15 - ?/15
Answer:
? = 6
? = 9
Step-by-step explanation:
[tex]\frac{2}{3} -\frac{3}{5} = \frac{6}{15} - \frac{9}{15}[/tex]
Hope it helped !
Btw have a nice day ! :3
Adriel
Which conclusion does the proportion support?
3/9=9/27
Answer:
x3
Step-by-step explanation:
3x3 is 9 9x3 is 27
If there are 200 calories in 100 cubic cm, how many calories in just 1 cubic cm?
Use the information to answer the question.
John walked 32,000 steps during a training week. His weekly goal is to walk 300 more steps than he did in the previous week. Let w represent the
number of weeks after the training week.
Which expression represents the total number of steps John will walk if he meets his goal?
Answer:
Steps = 300w + 32,000
Step-by-step explanation:
1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
360 units squared
Step-by-step explanation:
10*10 = 100
10*13*2 = 260
260 + 100 = 360
equation that shows 3 less than the product of 4 and m
The equation that shows 3 less than the product of 4 and m is 3 < 4m
Formation of equationFormation of equation is a means of transforming statements into equations
The product of 4 and m is 4m
If 3 is less than the product of 4 and m, this is expressed as:
3 < 4m
Divide both sides by 4
3/4 < m
m > 3/4
Hence the equation that shows 3 less than the product of 4 and m is 3 < 4m
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Please help me!!!!!!!!
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Notes }}}[/tex]
✟ Now let ✟➣Let these two parallel line be p and q➣ and angle "x + 22" be a➣ and angle "2x-13" be b[tex] \rule{70mm}{2.9pt}[/tex]
[tex]\underline{ \boxed{ \sf{✰ \:Concept \: used }}}[/tex]
➣ Here given two lines are parallel and also know as transversel➣ angle a and b are same side interior angle➣ and given two angle are supplementary➣ and sum of supplementary angle is of 180⁰➣ soo the equation formed is a+b =180⁰[tex] \rule{70mm}{2.9pt}[/tex]
★ Now let's solve according to concept[tex]\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ More info ★ ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.➣Transversal :-A line which traverses or intersects any system of other lines transversely.➣ Interior angles :- The inner angle between two sides[tex] \rule{70mm}{2.9pt}[/tex]
✠ Hence ✠
[tex] { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
a ships pilot knows that a building on the coast is 100 meters tall. if he finds the angle of elevation to be 2 degrees how far is the ship from the costline ?
Answer:2863.6ft
Step-by-step explanation: x=100/tan2 makes the awnser.
Vasanti has read 0.25 of the book Robinson Crusoe. If she read 0.125 of the book each day, how many more days does she need to complete reading the book?
Answer:
798 days
Step-by-step explanation:
100-0,25=99,75
99,75/0,125=798
Anybody want to help with math?
10 + 23 / (4 + 1 + 10) - 200 + 365
Ty :)
Answer:
176.53
Step-by-step explanation:
All i didnwas just solve the math on paper and u could use a caculator
Answer:
33/-550
Step-by-step explanation:
Add
Hope it help
What is the surface area of a cube if it’s 15 cm 15 cm and 15 cm
Answer:
1350 sq in
Step-by-step explanation: leangth times width is 15 x 15 so the face of one side is 225 multiply this by the number of faces in this case six and you get your awnser 1350 sq in
need help ASAP WILL GIVE BRAINLIEST
Answer:
See below
Step-by-step explanation:
It opens upwards ( bowl shaped) (vertex is on one side and focus on other with focus inside the parabola)
axis of symmetry is x = -8
vertex is (-8,0)
What it the measure of CD?
Answer:
B. 72°
Step-by-step explanation:
Remember : Measure of inscribed angle = 1/2 × measure of intercepted arc.
Then
The measure of arc CD = 2 × m∠DBC
= 2 × 36
= 72°
Anyo
Someone pls solve[tex](\sqrt{2}+1) (\sqrt{2}+3)[/tex]. Looking forward to a great answer
Answer:
(√2+1 )(√2+3 )
(√2×√2)+(√2×3)+(1×√2)+(1×3)
2+3√2+√2+3 = 5+4√2
=5+4√2
please help, much appreciated!!
Answer:
I just answered this. (48, 192) for profit = 500x + 450y under x+y <= 240, y >= 4x
Find the surface area of the pyramid.
Answer:
base+B+Height
Step-by-step explanation:
Because the base which is considered the rectangle, and the "B" is considered the Area which is whatever the number is at the bottom is considered the area and the height is whatever number is one the side then you mulitply the base and height. And once you find the answer to that you divide it by 3.
What is the value of 4’3 divided by 2’3
7
16
2
8
8
Done →
Hey there!
ASSUMING:
4^3 / 2^3
IF SO:
4^3 / 2^3
= 4 * 4 * 4 / 2 * 2 * 2
= 16 * 4 / 4 * 2
= 64 / 4
= 64 ÷ 2 / 8 ÷ 2
= 32 / 4
= 32 ÷ 4
= 8
Therefore, the answer should be: 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
a teacher tells her students she is just over 1 and 1/2 billion seconds old. Write her age in seconds using sci not. what is a more reasonable unit of measurement for this situation? How old is she when you use a more reasonable unit of measurement.
Words Decimal Representation Scientific Notationten million 10,000,000 1 x 107one hundred million 100,000,000 1 x 108one billion 1,000,000,000 1 x 109ten billion 10,000,000,000 1 x 1010
wat is 5x5 divede by 8 help plsss!!!!!!!!!!!!! (100) points!!!
Answer:
25/8 = 3.125
Step-by-step explanation:
Answer:
5 × 5 ÷ 8 = 3 ¹/₈
Step-by-step explanation:
Using the order of operations we need to work from left to right.
Therefore we should carry out the multiplication first.
5 × 5 means "5 lots of 5"
⇒ 5 × 5 = 5 + 5 + 5 + 5 + 5 = 25
Now we need to divide 25 by 8.
8 + 8 + 8 = 24
Therefore, 8 goes into 25 three times with a remainder of 1.
So, 5 × 5 ÷ 8 = 3 ¹/₈
a
Matt spent $90 per month on
groceries and a total of $640 for
clothes and entertainment over the
last 4 months. How much should Matt
expect to pay for clothes, groceries,
and entertainment in 1 year?
Answer:
3000
Step-by-step explanation:
640x3 = 1920
90x12 = 1080
How much more sand could the container hold before it overflows?
Answer:
67.5 in^3
Step-by-step explanation:
just calculate the volume
= 5 x 4.5 x 3
= 67.5 in^3
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power