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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
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We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
9514 1404 393
Answer:
0.5 cm
Step-by-step explanation:
The Law of Sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B)
c = (2 cm)sin(15°)/sin(105°) ≈ (2 cm)(0.2588/0.9659) ≈ 0.5359 cm
c ≈ 0.5 cm . . . . rounded to tenths
estimate the product of 26.4×2.7
Answer:..
Step-by-step explanation:
Answer:
Step-by-step explanation:
okay, 26.4*2.7 = 26*3 (when estimated)
26*3=78(or just somewhere around 70)
3+(55-111)/25 equals what
Answer:
0.76
Step-by-step explanation:
3+(55-111)/25
=3+(-56)/25
=3+ (-2.24)
=0.76
Answer:
3+(55-111)/25= 0.76
Step-by-step explanation:
Using PEMDAS, you solve 55-111 which is -56
Then you divide -56 by 25 because it is the fourth step, you get -2.24
Add three to -2.24 to get 0.76
If you round UP to the nearest tenth, it will be 0.80
If you round DOWN to the nearest tenth, it will be 0.70
Which expression is equivalent to x2−12x+36?
a (x+6)2
b (x+12)(x−3)
c (x+6)(x−6)
d (x−6)2 please help me figure this out
Answer:
(x-6)(x-6) or (x-6)^2
Step-by-step explanation:
Which option equals tan 40°? Select all that apply.
A) sin50°/cos 50°
B) cos50°/sin 50°
C) cos40°/sin 40°
D) sin40°/cos 40°
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Again, please answer it and explain!
Answer:
B
Step-by-step explanation:
So far, we know that:
∠D = ∠J.
And that:
DE:JK = 14:7 = 2:1
So, to prove that ΔDEF ~ ΔJKL by SAS, DF must be similar to JL, as those are the sides between the angle.
So:
DF:JL = 2:1.
Our answer is B.
Last year, Greg got a new job managing the gift shop at the Bern Valley Zoo. One of his responsibilities was to track the shop's total sales each day. This box plot shows the results. Gift shop sales ($) 200 250 300 350 400 450 What percent of the time did the gift shop have sales of $350 or less? %
Answer:
Step-by-step explanation:
There were 4 days when sales were 350 or less out of 6 days so
100(4/6)=400/6=[tex]66\frac{2}{3}\% $ or rounded to 66.67% $ [/tex]
The percentage of the time did the gift shop have sales of $350 or less should be considered as the 66.67%.
Calculation of the percentage:Sinceas we can see that there are total 6 things out of which 4 should be within 350 or less than 350
So here the percentage be like
[tex]= 4\div 6[/tex]
= 66.67%
Hence, The percentage of the time did the gift shop have sales of $350 or less should be considered as the 66.67%.
Learn more about percentage here: https://brainly.com/question/24552083
A tile pattern on a wall is made up of two identical parallelograms and three identical triangles.
What is the area of the tile pattern?
Enter your answer in the box.
______
|___| in2 ( i tried my best to do a box)
Answer:
448 in²
Step-by-step explanation:
2 parallelograms = 2x10x14=280
3 triangles = 3x1/2x14x8=168
280+168=448 in²
If Maya orders a $1.89 drink, 3 cookies at $.99 each, and 2 slices of pizza at $2.50 each. How much did Maya pay for her order?
ASAP PLZ IM DOING A TEST
Answer:
$9.86
Step-by-step explanation:
Frist you read the problem and you see that she pays $1.89 for one drink
so you write down $1.89
then 3 cookies for $0.99 so you multiply $0.99 by 3 and you get $2.97
so you write down $2.97
next 2 slices of pizza for $2.50 so you multiply 2 by $2.50 and you get $5.00
so you write that down
lastly you and the answers you wrote down and you get $9.86
Maya payed $9.86 for her order.
Bernie left home, riding his bike at a rate of 15 miles per hour. Charlie left 1 hour later, biking at a rate of 20 miles per hour. How long will it take Charlie to catch up to Bernie?
evaluate the expression:
x²×x¹ for x=9
Answer:
It’s 729
Step-by-step explanation:
What is the area of the trapezoid? 4 ft. 4 ft. 2 ft. square feet
solves 1.4 divided by 0.2 using the diagram at the right. is her reasoning correct explain
Answer:
the answer should be 7 !
Step-by-step explanation:
Answer: 1.4/0.2= 7
Step-by-step explanation:
think of it this way
14 divided by 2 equals 7
1 and 4 tenths divided by 2 tenths equal 7
at the post office 45% of packages ship as priority mail. if 160 of the packages are shipped today then how many will not go as priority
Answer:
The answer is 72 because 45% of 160 is 72.
Step-by-step explanation:
PLEASE ANSWER FAST!!!!!!!!!!
Answer:
d there is no such as 5+y cannot be less than 5-y
sana makatulong :-) :-)
Helpppp i dont understand
Please help and show work for this
Answer:
2 dollars for kids
5 dollars for adults
Step-by-step explanation:
We will let x= children
y= adult
we know that
33x+42y=276
46x+40y=292
There are a lot of ways you can solve this but I think it's easiest if we use (what I think is called elimination)
we will start by mulitiplying the second equation by 1.05 to get
48.3x+42y= 306.6
We will subtract the first equation from the second to get
15.3x= 30.6
Solve for x and get 2
Now that we know what x equals we can plug that into any equation and solve for y
we have
33(2)+42y=276
y=5
please solve and receive brain list
54 216
First look at the difference of the items sold between the 2 people. Clearly Lizzie sold 9 more boxes of peaches and earned 162 more dollars. We can solve and get that each box of peaches are worth 18 dollars. Then use what we found out --> 4 boxes of apples+1 boxes of peaches = 54 dollars. so 4 boxes of apples are worth 54-18=36 dollars. and thus each box of apples are worth 9 dollars.
Answer: each box of apples are wroth 9 dollars and each box of peaches are wroth 18 dollars. Done!
Can Someone Help, Pleasee. ?
Answer:
y = -2/3x + 6 (last option)
Step-by-step explanation:
A parallel line has the same slope as the original line. Since y = -2/3x+6 and y = -2/3x +1 have the same slope, the answer is the last option
Answer:
the last one.
Step-by-step explanation:
It has to have the same angular coefficient (-2/3 in this case)
Pls answer I really need help with this pleasseeee
Answer:
12.3
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
m=2, b=2
y=2x+2
The slope is positive, and the equation is proportional.
Answer:
m = 2 b = -1
equation: y = 2x -1
Proportional and a positive slope
Question 6
A bug crawls at a rate of 2 feet per minute. How long will it take the bug to crawl 25 ft?
PLEASE HELPPPP!!!!!!!!!!!!
PLEASEEEEEE HELP DUE AT 2:40
What is 3/5 divided by 3/4
3/5 *4/3
1/5*4/1=4/5
=.8
hope it helps
Which number is the value of f–1(–2)?
Answer:
f+2
Step-by-step explanation:
Wrong, the answer is 1 on Edge..
Jimmy estimates that a pitcher holds 4.5 liters of liquid. It actually holds 4.8 liters. What is the percent error between his estimate and the actual volume of the pitcher?
A. 1/3%
B. 1 1/3%
C. 6 1/4%
D. 6 2/3%
Answer:
the answer is 6 1/4%. I hope it helps!
Jose makes a triangle using three sticks of lengths 20 inches, 21 inches, and 28 inches. Is the
triangle a right triangle? Explain.
Answer:
no because for right angle triangle the sum of the sq of the two smallest side is equal to the sq of biggest side
What is the slope of y = -5 – 41?
Answer:
4
Step-by-step explanation:
We need to rewrite this in slope-intercept for which is
y=mx+b
So switch 4x and -5
y=4x-5
m is slope and b is y-intercept we need to find the slope so we look what is beside x which is 4 so the slope is 4
Hope this helps!
Manny wants to cover the windows in his home with either wood blinds or curtains. He has 35 windows that he would like to cover, but only has $2,100 to spend. Wood blinds cost $100 per window. Curtains cost $60 per window. Which system of inequalities represents the number of wood blinds, x, and curtains, y, Manny can purchase?
{x+y≤3560x+100y≤2100
{x+y≤35100x+60y≤2100
{x+y≥35100x+60y≥2100
{x+y≤210060x+100y≥35
Find the equation of the line with slope = -8 and passing through (-2,12). Write your equation in the
form y = mx + b.
Answer:
y=-8x-4
Step-by-step explanation:
18% of the the students at a school are in year 8 and 16% of the students are in year 9. If the school has 126 tera 8 students, determine the number of year 9 students.
Answer:
112
Step-by-step explanation:
The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w
We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)
126 = (0.18)w, divide both sides by 0.18
126/(0.18) = w = 700
9th graders are 16% of the school or 16% of 700 students
c = (0.16) 700 = 112 students