Answers
Answer:
C) 390
Step-by-step explanation:
Area of Blue:
18 × 25 = 450 in
Area of White:
6 × 10 = 60 in
450 - 60 = 390
Therefore, 390 sq in is the correct answer.
Related Questions
Given cosθ = 3/5, find the five other trigonometric function values. 15
Answers
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]
The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We're given that:
cosθ = 3/5 for some angle θ
Since we've got:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Therefore, we have:
[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).
(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)
Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:
[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]
(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).
Thus, we have:
From the perspective of the angle θ:
Length of the base = 3 unitsLength of the perpendicular = 4 unitsLength of the hypotenuse = 5 units.Thus, using these values, and the definition of the trigonometric ratios, we get:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Learn more about Pythagoras theorem here:
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Which number is a rational?
Answers
Answer:
0/5 = 0
0/200 = 0
0/ (-25) = 0
Step-by-step explanation: I am sure this is it because these are rational numbers
Suppose that $x,y,z$ are positive integers satisfying $x \le y \le z$, and such that the product of all three numbers is twice their sum. What is the sum of all possible values of $z$
Answers
The possible values of z is an illustration of the sum operator
The sum of all possible values of z is 17
How to determine the possible sum of z?The conditions in the question are:
x <= y <= z
xyz = 2(x + y + z)
Using the trial by error method, the possible values of x, y and z are:
x = 1 , y = 3 , z = 8x = 1 , y = 4 , z = 5x = 2 , y = 2 , z = 4The sum of the z values are:
z = 8 + 5 + 4
Evaluate the sum
z = 17
Hence, the sum of all possible values of z is 17
Read more about the sum operator at:
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I need help! Giving brainiest. Please answer as many questions as you can!!!!
Answers
Answer:
2. 12
3. 1 6/8
4. 8 5/8
5. 4 4/8
6. Eli is incorrect 1 3/8 x 3 is 4 1/8 which is greater than 3 1/8
Help..............lllllllllllllllllll
Answers
Answer:
4 pepperoni pizzas
Step-by-step explanation:
3 cheese => 1 pepperoni
12cheese (3x4) => 4 (1x4) pepperoni
Find the volume of the solid. Use 3.14 for π.
Answers
Answer:
vol= 10366.3175in²Step-by-step explanation:
So this is a cylinder
formula: π r²hR= 8.75in
h=43.12in
So it will be = 3.14x8.75²x43.12
=> 3.14x76.5625x43.12
3.14x 3301.375
10366.3175in²i think it is correct
.
stay safe
.
have a nice TIME
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 9 9 4m 2m4 – 6m2 2m4 – 6m2 – 4m 9 9 – 6m2 4m – 2m4 –2m4 – 6m2 4m 9.
Answers
The standerd form 4m – 2m^4 – 6m^2 +9.
We have given that the polynomial given below we have to find the standerd form of the polynomial.
What is the standerd form of the polynomial[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+......+a_1x+a_0[/tex]
n=4
Standard form of the polynomial
[tex]4m - 2m^4 - 6m^2 + 9[/tex]
Rearranginge term we get
[tex]=-2m^4 - 6m^2 + 4m + 9[/tex]
The third term of the given polynomial is 0.
Therefore,the standard form is,
[tex]-2m^4 - 6m^2 + 4m + 9[/tex]
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Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
1
4
in
112 in
1
in
12
NA
1
1
in
.
inches
Answers
Answer:
7 1/3 inches
Step-by-step explanation:
2 (1 3/4 + 1 11/12)
9+11
3/4+11/12= -------------
12
20/12
=1 2/3+ 2
2(3 2/3)
= 7 1/3
i need help smh..anyways can someone help me? like asap-
Answers
Answer: x<-1
Step-by-step explanation:
The answer is A!
Answer:
See below.
Step-by-step explanation:
Solving the inequality :-
18 < -3(4x - 2)18 < -12x + 612 < -12x-1 > xx < -1Graph A shows the solution to the inequality correctly
How you should answer:
1. Known:
2.Unknown:
3.Rationle:
4.Equation and Solution:
Steps on how to answer:
-State the known
-State the unknown and represent it with a variable
-Provide a rationale for your approach
-Include the equation, exact answer, and decimal approximation
Answers
Question 1
Focus on the triangle on the left.
sine is the ratio of opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(44) = w/30
w = 30*sin(44)
w = 20.839751 approximately
Now move onto the triangle on the right. We'll use cosine this time.
cos(angle) = adjacent/hypotenuse
cos(x) = w/45
cos(x) = 20.839751/45
cos(x) = 0.463106
x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]
x = 62.412286
Answers:w = 20.839751 approximatelyx = 62.412286 approximately==========================================================
Question 2
Focus on the triangle on the left.
sin(angle) = opposite/hypotenuse
sin(32) = w/5
w = 5*sin(32)
w = 2.649596
Now move to the triangle on the right.
sin(angle) = opposite/hypotenuse
sin(x) = w/5
sin(x) = 2.649596/5
sin(x) = 0.5299192
x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]
x = 31.999996
Answers:w = 2.649596 approximatelyx = 31.999996 approximately==========================================================
Question 3
This time we use the tangent ratio.
Focus on the triangle that has legs of w and 16.
tan(angle) = opposite/adjacent
tan(70) = 16/w
w*tan(70) = 16
w = 16/tan(70)
w = 5.823524
Now let y = x+w and focus on the largest triangle this time.
tan(angle) = opposite/adjacent
tan(41) = 16/y
y = 16/tan(41)
y = 18.405895
This leads to:
y = x+w
x = y-w
x = 18.405895 - 5.823524
x = 12.582371
Answers:w = 5.823524 approximatelyx = 12.582371 approximatelyHELP!!!! I can’t figure this out
Answers
Answer:
[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
Find the value of X round your answer to the nearest tenths
Answers
Answer:
x = 17.9
Step-by-step explanation:
[tex]tan40^{0} =\frac{15}{x}[/tex]
[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]
rounded: 17.9
Hope this helps
on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of the tennis court? b) if the length of the tennis court on the blue priny is 6.25 cm what it the actual length of the tennis court
Answers
Step-by-step explanation:
so,
1cm : 4m
that means the factor is 1/400 (as 1 m = 100 cm).
also to remember : 1 m² = 100cm×100cm = 10,000 cm²
the area of a rectangle is
length × width
if both dimensions are shortened by a factor (1/400) in our case :
length×1/400 × width×1/400 =
= length × width × 1/400² = length × width × 1/160,000
that means the area of the actual tennis court is
160,000 times the area of the blueprint picture :
160,000 × 16.25 = 2,600,000 cm² = 260 m²
we now know that the actual length of the tennis court is 400 times the length of the blueprint length :
400 × 6.25 = 2,500 cm = 25 m
in which quadrant is point (-4,5) located?
Answers
First quadrant (positive, positive)
Second quadrant (negative, positive)
Third quadrant (negative, negative)
Fourth quadrant (positive, negative)
Simplify: 5x3+3x2−(−x−6x2)+4x−x2
Answers
Answer: 33 plus 3x
Step-by-step explanation: simplified it
Answer:
The answer is 5x3+8x2+5x
Step-by-step explanation:
A box of 100 personalized pencils costs $\$30$. How many dollars does it cost to buy 2500 pencils?
Answers
Answer:
$750
Step-by-step explanation:
2500 divided by 100 = 25 and 25 x 30 = 750
Sorry if im wrong
The price for 2500 pencils is $750.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
A box of 100 personalized pencils costs $30.
So, cost of 1 pencil = $30 / 100 = 3/10
Now, the price to buy the 2500 pencils
= 2500 x 3/10
= 250 x 3
= $750
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what is the range of the exponential function y=2^x plus 2?
A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)
Answers
Explanation: because it’s A
What is the slope of the line that passes through (-1, 3) and (-1, 8)?
due today
Answers
Answer:
Slope of the line is undefined
Step-by-step explanation:
(x₁, y₁) = (-1 , 3) and (x₂, y₂) = (-1 , 8)
The line is parallel to y-axis. The slope of the line parallel to y-axis is undefined.
Use the equation, (1/27)^x=3^(-4x+6), to complete the following problems.
Rewrite the equation using the same base.
Solve for x. Write your answer as a fraction in simplest form.
Please show all work, and refrain from posting links, thank you!
Answers
Answer:
Given equation:
[tex]\left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]
27 can be written as [tex]3^3[/tex]
Also [tex]\dfrac{1}{a^b}[/tex] can be written as [tex]a^{-b}[/tex]
[tex]\implies \dfrac{1}{27}=\dfrac{1}{3^3}=3^{-3}[/tex]
Therefore, we can rewrite the given equation with base 3:
[tex]\implies (3^{-3})^x=3^{(-4x+6)}[/tex]
To solve, apply the exponent rule [tex](a^b)^c=a^{bc}[/tex]
[tex]\implies 3^{-3 \cdot x}=3^{(-4x+6)}[/tex]
[tex]\implies 3^{(-3x)}=3^{(-4x+6)}[/tex]
[tex]\textsf{If }a^{f(x)}=a^{g(x)}, \textsf{ then } f(x)=g(x)[/tex]
[tex]\implies -3x=-4x+6[/tex]
Add [tex]4x[/tex] to both sides:
[tex]\implies x=6[/tex]
The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = ℓw. Use the given numbers to write and solve an equation to find the width, w, of the picture frame.
Answers
Answer: w=8.5
Step-by-step explanation:
Just did it.
PLEASE HELP THANK YOU
Answers
Answer:
money left= -50•games played + 47.50
Select the correct answer.
Which number is an irrational number?
A.
B.
C.
D.
Answers
Answer:
its c i just got done doing the same one
Step-by-step explanation:
got it right on my real numbers test and got 100% if you need more help comment under my answer
A crate of pears that usually costs $50 is on sale for 10% off. What is the sale price for the crate of pears?
Answers
Explaining:
10% of 50
= 10%=10/100 = 0.1
= 0.1 (x) times 50
= 5
Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
What is sale price?" Sale price is defined as the amount on which something is sold out."
Formula used
Sale price = Cost price - Discount amount
According to the question,
Cost price of the crate of pears = $50
Discount on sale price = 10%
Discount amount = 10% of $50
[tex]=\frac{10}{100}(50) \\\\= \$5[/tex]
Substitute the value in the formula of sale price we get,
Sale price = [tex]\$ ( 50 - 5)[/tex]
= $ 45
Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
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Find the volume of the square pyramid shown below.
Answers
We plug in our variables
V=(1/3)10^2x12
We get the answer 400m^3
please help I'll give brainliest if answer is right
Answers
Answer:
The area is about 96.06 or 96.1
Step-by-step explanation:
I tried my best to solve it, I'm sorry if it's wrong.
what type of sequence is 99,33,3,1
Answers
Answer:
36 ,36 30,2
Step-by-step explanation:
hope it's okay to you
A different rectangle has a diagonal of 60 yards and a height of 40 yards.find the width of the rectangle rounded to the nearest hundredth
Answers
Answer:
2159.6 i think
Step-by-step explanation:
i used a rectangle calculator
sin 60 =11/x
x=11/sin (60)
Answers
Answer:
sixt
Step-by-step explanation:
thats easy the sin should be six
i need help) Han and Clare go shopping, and they each have a coupon. Answer each question and show your reasoning.
1.Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon?
2.Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?
Answers
The amount of money that Han saves by using a coupon is $1.5%
The percentage off Clare's purchase with the coupon is 25%
How much did Han save?
A coupon reduces the price at which an item is sold
Amount saved = coupon discouunt x normal price
10% x $15
0.1 x $15 = $1.5
What is the percent off Clare's coupon?
Percent off = (6/24 x 100 = 25%
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
I need this for a geometry assignment........please help
Answers
All three are similar
In ∆SUT and ∆VWX
Two sides are similar and one angle is similarSo by SSA they are similar
In ∆PRQ and rest two
All angles are.
80,80,20°So
They are similar by AAA congruence