Answers
Try this option:
1) if csc(u)=9, then 1/sin(u)=9 and sin(u)=1/9;
2) if sin(u)=1/9, then cos(u):
[tex]cos(u)=\sqrt{1-sin^2(u)}=\sqrt{1-\frac{1}{81}}=\frac{4\sqrt{5}}{9};[/tex]
3) [tex]if \ sin(u)=\frac{1}{9} \ and \ cos(u)=\frac{4\sqrt{5}}{9}, then[/tex]
[tex]sin(2u)=2sin(u)*cos(u)=\frac{8\sqrt{5}}{81};[/tex]
[tex]cos(2u)=cos^2(u)-sin^2(u)=\frac{80}{81}-\frac{1}{81}=\frac{79}{81};[/tex]
[tex]tan(2u)=\frac{sin(2u)}{cos(2u)}=\frac{\frac{8\sqrt{5}}{81}}{\frac{79}{81} }=\frac{8\sqrt{5}}{79}.[/tex]
Related Questions
Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4
Answers
Answer:
LCD = 12
Equivalent Fractions with the LCD
5/6 = 10/12
5/4 = 15/12
Step-by-step explanation:
Rewriting input as fractions if necessary:
5/6, 5/4
For the denominators (6, 4) the least common multiple (LCM) is 12.
LCM(6, 4)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
5/6 = 5/6 × 2/2 = 10/12
5/4 = 5/4 × 3/3 = 15/12
I used a least common denominator calculator so I hope this helped!!
Help me solve this please, im really bad at stuff like this
Answers
Answer:
given
Step-by-step explanation:
Answer:
statement - reason
BC||AD, <BAD is congruent to <DCB - given
<CBD is congruent to <ADB - alternate interior angles
BD is congruent to BD - reflexive (?)
triangle ADB is congruent to triangle CBD - AAS
AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)
if Jenny buys 2 8-inch di|dos for 8$ then what is the total price
Answers
Answer:
$16
Step-by-step explanation 2 x 8 to 8 + 8 =16
Please help me in this 4th grader question, its a homework and i was sick over the weekend
Answers
Answer:
what is your question ask then I shall answer you
Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answers
Answer: $3
Step-by-step explanation:
15 times .20 then subtract that from 15
Answer:
$3
Step-by-step explanation:
because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH
Joe lost his part-time job, which reduced the net family income by 20%. His wife Janice decided to work overtime to compensate for the lost income. Other things being equal, by what percentage must her net salary increase in order to arrive at the same net family income as they had before Joe lost his job?
Answers
The percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the salary of Joe be represented by x, while the salary of Janice is represented by y.
Since the sum of the salary of Joe and Janice is the net income of the family. Therefore, the net salary when Joe had a job will be,
x + y₁ = 100%
Now, it is known that Joe lost his job, which reduced the net family income by 20%. Therefore, the net salary now will be only 80% which will be equal to the salary of Janice. Thus, we can write,
y₁ = 80%
Further, Janice decided to work overtime to compensate for the lost income. Therefore, we can write,
y₂ = 100%
Furthermore, the percentage change in salary of Janice can be written as,
Percentage Change = [(100% - 80%)/80% ] × 100%
= 20/80 × 100%
= 25%
Hence, the percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
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Lincln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 688 cans have been collected. Write and solve an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Which two-step inequality represents this situation?
Answers
688 + x = 2000
7y = x
Reason
1. Find how many more they need
2. Find how many they need each day
QUESTION 4
Round the following number to two significant digits: 137,426.9
Answers
I need help with math
Answers
[tex] \frac{1}{5} + \frac{3}{4} \times \frac{3}{5} = \\ [/tex]
[tex] \frac{1}{5} + \frac{9}{20} = \\ [/tex]
[tex] \frac{4}{20} + \frac{9}{20} = \\ [/tex]
[tex] \frac{13}{20} \\ [/tex]
write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.
Answers
Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.
What is the SSS Congruence Theorem?The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.
We are given the following information:
AB ≅ EDCA ≅ CEAC bisects BDSince AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.
Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.
Therefore, ΔABC ≅ ΔEDC by SSS Congruence Theorem.
The two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.Learn more about the SSS Congruence Theorem on:
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The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.
Answers
Answer:
27.8%
Step-by-step explanation:
[tex]\frac{32.5}{45} =0.722[/tex]
0.722 = 72.2%
The % reduction is:
(100-72.2)% = 27.8%
Hope this helps
A rectangle has a length of 25 meters less than 6 times it’s width. If the are of the rectangle is 261 square meters, find the length of the triangle
Answers
Is the inequality 5-x^2<4 true for x=1?
Answers
5 - x² < 4
- x² < 4 - 5
- x² < - 1
=》x² < 1
Now, let's check with x = 1
x² < 1
(1)² < 1
1 < 1
1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.
_____
Hope it helps ⚜
LESSON 3
WHATS MORE
Translate each English phrase/sentance into Mathematical phrase/sentance
1. The sum of 4 and number________
2. Six less than a number_________
3. The product of 8 and a number______
4. The quotient of x and 7 ______
5. Five more than a number is equal to 15_____
Answers
Answer:
1. 4+x
2. x-6
3. 8x
4. x/7
5. x+5=15
Step-by-step explanation:
Write an equation of the line passing through (-2,1) and (3,2). Give the answer in standard form
Answers
how do i delete my answer because apparently my answer is wrong so yes i don't know how to delete it so i'm just editing it and have a good day people
Answer:
y=[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
y=m-+x so y=slope+or-y-intercept
What is the correct unit rate?And what is Jessie's likely error?
Answers
Answer:
4
Step-by-step explanation:
1[tex]\frac{1}{2} / \frac{1}{8} = \frac{1}{2} * \frac{8}{1} = \frac{8}{2} = 4[/tex]
she forget that fraction will reverse if it move below or up side, I think
Which of the number line graphs shows the solution set of |x – 2| > 3?
Answers
Answer:
I have it!
Step-by-step explanation:
Um yeah so ignore the blue circles. I need your helpp ty <3
Answers
Answer:
where is the diagram u there is must must graphic of this or diagram
Answer:
15, 6,0, 11, 7
I'm not sure but hope it helps
Step-by-step explanation:
y=8+7
=15
y=-1+7
=6
y=-7+7
=0
y=4+7
=11
y=0+7
=7
The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.
Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.
Answers
Answer:
Step-by-step explanation
Area of a triangle
A = ½bh
dA/dt = ½(b(dh/dt) + h(db/dt)
dA/dt = ½(4(9) + 12(-5))
dA/dt = ½(36 - 60)
dA/dt = ½(-24)
dA/dt = -12 cm²/s
The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.
A shape's area can be calculated by contrasting it with squares of a known size.
[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]
[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]
[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]
[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]
Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
Learn more about area from link
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What is 1 1/2 divided by 8
Answers
Answer:
3/16
Step-by-step explanation:
start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2
then set up your equation:
3/2 x 1/8
you do the resipricol of one of the numbers so instead of 8/1 we do 1/8
3 times 1= 3
2 times 8 is 16
3/16 does not simplify so thats your answer
Answer:
3/16
Step-by-step explanation:
((1 1/2)/8)=(3/2)/8
8 times 2(demoninator)=16
numerator stays same so the answer is 3/16
The coordinates of a square are (3,2), (8,2), (8,7), and (?,?)
Answers
Answer:
i don't know can u solve plz
Answer:
(3, 8)
Step-by-step explanation:
For this, draw a graph and locate the points. Then you can determine where the missing point should be to draw a square. Check out the graph I sent to understand what I'm talking about.
Ernie’s bakery sells pastries for $.75 each. A customer purchased 112 pastries, and Ernie gave him an 8.375% discount. How much did that customer pay for the pastries he purchased?
Answers
Answer:
$7.6965 or $7.70
Step-by-step explanation:
We multiply the price by the amout he bought.
0.75 x 112 = 84 or $8.40
This is how much he would have paid without a discount. To find the discount we multiply the initial amount by the discount percent in decimal form.
8.4 x 0.08375 = 0.7035
This is the amount thay will be subtracted from the initial price.
8.4 - 0.7035 = 7.6965 or $7.70
A researcher is interested in testing the perceived effort (PE) of runners under three different terrains. PE is measured on a scale that ranges from 0 to 15, where higher scores indicate greater effort. The three terrains were a running track (i.e. the control), a mostly flat sidewalk, and a hilly neighborhood. Participants were randomly assigned to only one type of terrain. What type of analysis should the researcher conduct
Answers
What are the length and width of a rectangular traffic sign if the length exceeds the width by 4 inches and the perimeter is 152 inches?
Answers
Answer:
L = 40
w = 36
Step-by-step explanation:
P = 2*L + 2*w
L = w + 4
w = w
P = 152
P = 2*(w + 4) + 2*w Remove the brackets
P = 2w + 8 + 2w Combine and switch sides Use P = 152
4w + 8 = P
4w + 8 = 152 Subtract 8 from both sides.
4w = 152 - 8
4w = 144 Divide by 4
4w/w = 144/4
w = 36
L = w + 4
L = 36 + 4
L = 40
is it 90 IF NOT CAN SOMEONE TELL ME please
Answers
Answer:
90Step-by-step explanation:
1000 + 500 = 1500mg (for 1 day)
1500 * 30 = 4500mg (1 month)
4500 : 500 = 90 tablets
Find the perimeter of the figure.
Answers
[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]
[tex]perimeter = 72 \: \: cm[/tex]
−4 1/2÷(−2 2/3) i need help
Answers
Answer:
[tex]1\frac{11}{16}[/tex]
Step-by-step explanation:
Convert mixed numbers into improper fractions.
= [tex]\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}[/tex]
= [tex]\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}[/tex]
= [tex]\frac{\frac{9}{2}}{\frac{8}{3}}[/tex]
= [tex]\frac{9\cdot \:3}{2\cdot \:8}[/tex]
= [tex]\frac{27}{2\cdot \:8}[/tex]
= [tex]\frac{27}{16}[/tex]
Convert improper fraction into mixed number.
= [tex]1\frac{11}{16}[/tex]
-
16
Mr. White has 2 suits, 5 dress shirts, and
6 ties. How many different clothing combinations can he make?
Answers
Answer:
60
Step-by-step explanation:
Use the counting principle.
2 × 5 × 6 = 60
Answer: 60
What does y= -3x+3 equal
Answers
Answer:
Solving for x, the answer is x = 1 - y/3
Hope this helps :D
Answer:
Step-by-step explanation:
y= -3x+3 is the equation of a straight line with slope -3 and y-intercept 3. The x-intercept is found by letting y = 0 and solving for x: x = 1.
y= -3x+3 can be re-written in "standard form:" 3x + y = 3.
triangle abc was dilated from the orgin by a scale factor of 2 to create triangle A’B’C’ which statement explains why the triangles are similar ?
Answers
Answer:ABC was dilated from the origin by a scale factor of 2 to create Delta A'B'C' . Which statement explains why the triangles are similar? Dilations preserve side length; therefore, the corresponding sides of Delta ABC and Delta A'B'C' are congruent.
Step-by-step explanation:Googel