Answers
Answer:
1) a = 16.38 (nearest hundredth)
b = 11.47 (nearest hundredth)
2) b = 14.14 (nearest hundredth)
c = 15.36 (nearest hundredth)
Step-by-step explanation:
Sine Rule
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Question 1
The interior angles of a triangle sum to 180°
⇒ m∠B = 180° - 90° - 55° = 35°
Given:
A = 55°B = 35°C = 90°c = 20[tex]\implies \sf \dfrac{a}{\sin 55}=\dfrac{b}{\sin 35}=\dfrac{20}{\sin 90}[/tex]
[tex]\implies \sf a=\dfrac{20\sin 55}{\sin 90}=16.38304089...[/tex]
[tex]\implies \sf b=\dfrac{20\sin 35}{\sin 90}=11.47152873...[/tex]
Question 2
The interior angles of a triangle sum to 180°
⇒ m∠B = 180° - 90° - 23° = 67°
Given:
A = 23°B = 67°C = 90°a = 6[tex]\implies \sf \dfrac{6}{\sin 23}=\dfrac{b}{\sin 67}=\dfrac{c}{\sin 90}[/tex]
[tex]\implies \sf b=\dfrac{6\sin 67}{\sin 23}=14.13511419...[/tex]
[tex]\implies \sf c=\dfrac{6\sin 90}{\sin 23}=15.35582799...[/tex]
Related Questions
please help < 3 8thgrade math
whats the solution
Answers
Answer:
This drawing should help a lot, and the way you solve the last one is you divide both sides by 2x making it an equation you can use to solve the graph.
Step-by-step explanation:
remember, y=mx+b, m is the slope because the x is the ever increasing variable of the slope, and b is where you start the line on the y axis, so it makes this much easier knowing that the slope for a whole number, is just putting a 1 underneath it, and it applies to every number even negatives too.
I need help solving this.
Answers
Answer:
0.66
Step-by-step explanation:
4.91 x 10^2
Calculate 10 to the power of 2 and get 100.
4.91×100
Multiply 4.91 and 100 to get 491.
491
7.47×10^2
Calculate 10 to the power of 2 and get 100.
7.47×100
Multiply 7.47 and 100 to get 747.
747
491 divided by 747=0.65729585006693440428380187416332
0.65729585006693440428380187416332 is rounded to 0.66
please help asap. please.
Answers
For the table
10 —> 4
1 —> 0.4
20 —> 8
40 —> 16
39 —> 15.6
1% of 40 is the equation 1/100 = x/40, so 0.40 is the value of x.
Hope this helps, you should be able to solve the rest by cross multiplying.
Paul ate 7/9 of 1/6 of his birthday cake. Did Paul eat more or less than 7/9 of the cake? Did he eat more or less than 1/6 of the cake? Explain your answer WITHOUT finding the exact product in the space below.
Answers
Answer:
See below ↓↓
Step-by-step explanation:
He ate less than 7/9 of the cakeHe ate less than 1/6 of the cakeTo understand, I'll explain in simple words.
First look at the part where it says 1/6 of his birthday cakeThat means he can only eat less than or equal to 1/6 of the cake7/9 > 1/6, so it's definitely less than 7/9Now, it says he ate 7/9 of that 1/6 slice of the cakeThe 1/6 slice can be represented as a whole (9/9) and he only ate 7 parts of that small fractionTherefore, he ate less than 1/6 of the cakeI hope it's clear and feel free to ask if you're still confusedPlease multiply and add the question shown down below.
Then Pick: A, B, C, or D.
Answers
Answer:
1/7 + 2/7 * 1/4 = 3/14, therefore your answer is, B.
Step-by-step explanation:
I added 1/7 and 2/7 then multiplied it by 1/4 and got 3/14!
Answer:
B
Step-by-step explanation:
1/7 + 2/7 x 1/4
Bodmas
1/7 + 2/7 x 1/4
1/7 + 1/7 x 1/2
1/7 + 1/14
LCM = 14
2 + 1 3
--------- = -------
14 14
Please help me!!! Due tonight thank you, you will make my day so much!!!
Answers
Answer:
The area increases by 25.68 [tex]cm^2[/tex]
Step-by-step explanation:
The surface area of a cuboid is 2lw + 2wh + 2lh, where l = length, w = width, and h = height. The current surface area is 2*18*3.4 + 2*3.4*30 + 2*18*30, which is 1406.4. If the height is increased by 0.6 cm, the surface area will be 2*18*3.4+2*3.4*30.6+2*18*30.6, which is 1432.08. The difference is surface area is 25.68 [tex]cm^2[/tex]
Answer:
The area increases by 25.68
Step-by-step explanation:
20 POINTS) Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?
[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]
Yes, because the total will be $1.62
Yes, because the total will be $2.93
No, because the total will be $3.62
No, because the total will be $5.93
Answers
Answer:
No, because the total will be $3.62
Step-by-step explanation:
When we substitute with 3 and 2 shown below
0.35(3)+0.99(2)+0.59 we get 3.62, which is greater than 3 dollars.
Hope this helped<33
Answer:
Alright so the question states that "She can only spend $3."
A sticker costs $0.35
A eraser is $0.99
A pencil costs $0.59
What you are trying to find is Can Linda buy 3 stickers and 2 erasers.
So add the total value of stickers prices. You need to know what's the cost of 3 stickers and 2 erasers
0.35+0.35+0.35= 1.05+0.99+0.99 = 3.03 So she can't. Now can she buy 1 sticker, 1 eraser, and 1 pencil. So is it enough to get 1 of each item?
0.35+0.99+0.59=1.93 Yeah you can.
But is it enough for her to get 3 stickers, 2 erasers and a pencil?
We already know the cost for 3 stickers and 2 erasers is $3.03. All you need to do is add $0.59 to find the total cost. The total cost of 3 stickers and 2 erasers and a pencil is $3.62. So the answer is No, because the total will be $3.62 and her budget is $3 so she will need extra $0.62 to cover the full cost.
Hope this helps
1. This shelter, providing food to the needy is an example of:
a) redistribution of resources
b) the free market economy
C) third party consequences
d) all of the above
Answers
Answer:
A
Step-by-step explanation:
It is redistributing food.
Debbie is sewing pillowcases to sell at the craft fair.She has a bolt of fabric that is 15 years long.Each pillowcase requires 8/9 yard of material.If she makes as many pillowcases as possible,how many yards of fabric will she have left?
Answers
Hope this help :) sorry if it did not I need to go to bed
HELP ME PLEASE SOMEONE !!
Answers
Answer:
the last graph
Step-by-step explanation:
from what I can read of the question, it is asking for a decreasing pattern. If it is as the input increases, the only graph with the output decreasing is the last as it has a negative slope and is thus inversely related.
1 and 3 are positive slopes, and 2 does not have a trend line.
Find the perimeter and area of the shaded figure below.
Answers
area 6
Area - 6
Explanation: Perimeter: 2 + 3 + 2 + 3 = 10
Area: 2*3 = 6
Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.
Answers
Answer:
There is a positive correlation happening.
Step-by-step explanation:
A positive correlation happens when both of the sequences are going up. In the first sequence, the terms go up by 2. In the second one, the terms go up by 1. While the do not have the same common difference, the two sequences still increase. This makes the relationship a positive one.
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I hope this helps!
-No one
Answer:
2,4,6,8,10 You multiply by 2 each time
1,2,3,4,5 You add 1 each time
Step-by-step explanation:
You multiply 2 and you add 1
I dont get dis pls help
Answers
Answer:
I won't give you the answer since you didn't ask for it but:
Step-by-step explanation:
to find the theoretical probability of whatever, you must add up all the values in the table then put the whatever value that the question is talking about on top of the sum of all the values. you must then change your fraction to either a decimal then to percent, or if you don't want to you can just change it directly to a percent. I hope this helps
Please find the rest of the answers, 1 was already done for you. IMAGE ATTACHED
Answers
Answer:
D
Step-by-step explanation:
I think if wrong im sorrrry
Answer:
the answer i got is d
Step-by-step explanation:
Answer correctly for brainliest pleaseeee!!
Answers
Answer:
A. (x,y) → (-x,y)
Step-by-step explanation:
A: (-5,-1)
A': (5,1)
B: (-3, -3)
B': (3, -3)
C: (-5, -5)
C': (5, -5)
D: (-7, -3)
D': (7,-3)
The x values change sign but the y values don't.
[tex]9(5x + 1)[/tex] ÷ [tex]3y[/tex]
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
Please give me the correct answers with a short or long explanation covering it all. Thank you!! :)
Answers
Answer:
5+1=6x9=54/3=18
Step-by-step explanation:
how this helps! :)
The first three terms of an arithmetic sequence are as follows.
Answers
Answer:
9, 3
Step-by-step explanation:
To get from 27 to 21, you subtract by 6. To get from 21 to 15, you must also subtract by 6. Therefore, subtracting by 6 is the pattern. In order to get the next number in the sequence, we must subtract 6 from 15.
15 - 6 = 9
The next number is 9. To find the number after 9, we must do the same thing - subtract 6 from 9.
9 - 6 = 3
The 5th number of the sequence is 3.
I hope this helps and please mark me as brainliest!
you subtract by 6 each time
jake buys a new car that costs $15,000 he borrowed from the bank with 3.5% compound interest per year. If it takes 7 years to pay off the loan, how much will he have paid for the car?
Answers
Answer:
NVM MY ANSWER IS WRONG ITS INTEREST NVM SRRY
Step-by-step explanation:
you can solve this by doing I=PRT
I=Interest (total which is
P= Principle ($15,000)
R= Rate (3.5% which turns to 0.35 bc you turn it into a decimal)
T= Time (7 years)
Once they are identified you mulitply them together:
(15,000)(0.35)(7)=36,750
I am sure that's the answer I'm sorry if I am wrong but I did this at the beginning of the year and got a 100% on my test so it should be correct! :)
PLS PLS PLS PLS HELP!!!!
What's 2+2???
CORRECT ANSWER=BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
By adding (+ / Plus) 2 and 2 together, like II + II, you get IIII. Otherwise, 4. Or "Four" as a word. You pronounce it just like you say "For" as in "For you". "Four" and "For" mean different things, but sound the same when said. Hope this helped! (lol i know this is a joke question)
help i’ll give you brainlist or whatever it’s called
Answers
you really want to think of a function as a vending machine. if you selected B12 on a vending machine and got chips, the only thing that you should be getting is chips. B12 represents x, the input value, and the chips represent y, the output value. one input value can only have one output value. in this scenario, we can say that (5,2) is a function because we don’t have another 5 as an input value.
(0,2) is not an example of an input output value because we already have 0 as an input which would make it have two output values which is not possible. if you pressed B12 and got a drink even though you just got chips from it, that would not be a function.
HELPPPP IT DOWN BELLOW
Answers
Answer:
paul put it at 3,8 and its supposed to be at 0,6
Step-by-step explanation:
(PLSS HELP FAST!!) Which parallelograms below have the same area?
Answers
Answer:
I, II, IV
Step-by-step explanation:
Same base and height so same area. or with I the base and height calculate to the same area
Answer:
Parallelograms two and four
Step-by-step explanation:
the area of a parallelogram is base times height or bh. Count each unit and solve.
Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of the number of rolls needed for a number cube in order to roll all of the odd numbers.
According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent.
Answers
[tex]\large{\mathcal{QUESTION:}}[/tex]
Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of the number of rolls needed for a number cube in order to roll all of the odd numbers.
[tex]\large{\mathcal{ANSWER:}}[/tex]
hope its help the answer is the photo
20pts and brainliest to the person who has the correct answer
Answers
Negative decimals on a number line 4
Answers
Answer:
b
Step-by-step explanation:
its closest to -.9 so it has to be that one
The point B is at the centre of the circle.
The points P and Q are on the circumference of the circle.
Calculate the area of the shaded sector.
take π to be 3.142 in your working.
Give your final answer to 1dp
Answers
Answer:
24.7
Step-by-step explanation:
Calculation of the area of the shaded sector is 24.7:
Since
Line PQ = 5.413590865cm
BQ = 9cm
Now
cos(x) = 0.8190928022
x = 35.00591739˚
Now finally the
Area of sector = 24.7cm^2
So point B is at the centre of the circle, making the area of the shaded sector to be 24.7 .
Answer ASAP! but only if you know 100%, and whoever gets it right can have brainliest
beinggreat78, please confirm or answer this question
Answers
the formula is: A = π r²
by plugging in the value(s) we were given, 28.274 is your final answer.
Can someone help me with this pls
Answers
Answer:
33.8
Step-by-step explanation:
1) Use Phythagoras theorem to get RS ↓
[tex]9.1 ^{2} + 6 ^{2} = 118.81 \\ \sqrt{118.81 } = 10.9[/tex]
2) RS = RQ
therefore, to get the perimeter, you'll have to total up the sides of the triangle ↓
[tex]rs + rq +qt + ts \\ = 10.9 + 10.9 + 6 + 6 \\ = 33.8[/tex]
Hope this helps =)
Answer:
33.8
**Brainliest would be appreciated**
Step-by-step explanation:
Mr. Adams asked two random groups of 20 students each how many minutes they spent playing video games last night. The interquartile range (IQR) for Group A was 30 minutes and the IQR for Group B was 45 minutes. What can you conclude about the data Mr. Adams collected?
A: The maximum is greater for Group B than for Group A.
B: The data for Group B is more spread out than the data for Group A.
C: The maximum is greater for Group A than for Group B.
D:The data for Group A is more spread out than the data for Group B.
Answers
Answer:
I think its
Step-by-step explanation:
I think its a because the IQR is the third quartile minus the first quartile (third-first=IQR)(the first is the middle number between the minimum and median and the third quartile is the middle number between the median and the maximum)so anyway it just makes sense that the answer would be B
Which of the following lists is in order from smallest to largest?
2/11, 1/5, 17%, 0.175
2/11, 17%, 0.175, 1/5
1/5, 2/11, 0.175, 17%
17%, 0.175, 2/11, 1/5
Answers
Answer:
I believe the answer is d. 17%, 0.175, 2/11, 1/5
Step-by-step explanation:
if you convet them all to decimels it comes out to:
17%= .17
.175= .175
2/11= .18
1/5= .2
Answer:
c
Step-by-step explanation:
if you change them to decimals yo get the answer
