Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
For ΔWXY,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]
Now,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]
[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]
[tex]900\sin X=680\sin (157^\circ)[/tex]
[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]
[tex]\sin X=0.295219[/tex]
[tex]X=\sin^{-1}(0.295219)[/tex]
[tex]X=17.17067[/tex]
[tex]X\approx 17[/tex]
Therefore, the value of ∠X is 17 degrees.
PLS HELP!!! I dont understand 6 grade math
Answer:
1st pic) 1 1/2
2nd pic) 40% * x = 35 l x = 87.5
Step-by-step explanation:
3/4 is half
so multiply by 2 to get the whole
3/4 * 2 = 6/4 = 1 1/2
Need help ASAP giving 55 points and a branlist
Answer:
There are 54 squares on a rubix cube
Step-by-step explanation:
each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be
54 squares
Hope this helps! :)
There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it is not replaced. Find the probability of reaching into the drawer without looking and drawing out 2 blue socks.
Answer:
11/306
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 4 red, 8 yellow, and 6 blue socks in a drawer where the probability of picking a red, yellow and blue socks be p(r), p(y), and p(b) respectively.
The probability of reaching into the drawer without looking and drawing out 2 blue socks
= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)
= 6/18 + 5/17
= 11/306
1.45x + 1.25y =70.85
x + y = 53
Answer:
Your answer is
y= 30
x= 23
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
I only need 1 b. please no work needed thank you
Answer:
standard form is x^2-3x-4=0
which is a^2+bx+c=0
so the value of a=1 , b= -3 and c= -4
Find the slope for the line that runs through points (2, 5) and (-3, 7)
Answer:
-0.4
Step-by-step explanation:
to solve use the formula m=y2-y1/x2-x1
Please help!
Given A= [2 -7 6 1] and B= [-9 5 1 -1]
IT X-A=B, what is X?
Answer:
Option A, Or Option 1
Step-by-step explanation:
-7 -2
7 0
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Step-by-step explanation:
Let x be the size of 1 of the 2 congruent angles.
The size of the other congruent angle is also x.
Since sum of angles in a triangle = 180°,
Measure of 3rd angle in the triangle
= 180° - 1st angle - 2nd angle
= (180 - 2x)°.
Answer:
The Isosceles Triangle Theorem, All interior angles of a triangle add up to 180 degrees. Basically the equation would be (angle 1) + (angle 2) + (angle 3) = 180. whichever angle you dont have you replace with x and solve for it. For example if you had a triangle with two congruent angles of 36 then it would be 36+36+x=180 and you would solve it like any other equation eventually showing you that x = 108. it also works backwards if you are trying to solve for the 2 missing congruent angles.
Step-by-step explanation:
Paki answer po fi d the value of k mentally
Answer:
We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.
1) 30 = k*(15/4)
To solve this, we can just multiply by (4/15) in both sides, so we get:
30*(4/15) = k*(15/4)*(4/15)
(30/15)*4 = k
2*4 = k
8 = k
2) 360 = k*√36
Here you need to remember that:
6*6 = 36
then √36 = 6
We could just replace that in the equation:
360 = k*6
now let's divide both sides by 6.
360/6 = k*6/6
60 = k
3) 64 = k*(4²)*(2²)
Here we need to remember that:
4² = 16
2² = 4
We can replace these in the equation to get:
64 = k*16*4
and 4*16 = 64
then:
64 = k*64
Now let's divide both sides by 64.
64/64 = k*64/64
1 = k
4) 100 = k*(25)*(4)
Here we know that 4*25 = 100
So replacing that in the equation we get a similar expression to the above one.
100 = k*100
Now let's divide both sides by 100
100/100 = k*100/100
1 = k
5) 6 = k*3
Here just divide both sides by 3.
6/3 = k*3/3
2 = k
Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.
5 inch is the width, 8 inch is the length.
Find to scale between the two widths:
10 /5 = 2 the larger photo is 2 times larger,
Multiply the known length by 2:
8 x 2 = 16
The length would be 16
Answer:
length = 4
Step-by-step explanation:
if the width of 10 is the same as a 5 by 8 photographer u can set up a proportion.
10/5 = x/8
Helppppp plsss
180 35 what is x
Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?
Help
35 - 0.80*35 = x
35 - 28 = x
7 = x
x = 7
He paid $7
When is the graph of f (x) = 2x2 – 5x – 3 negative?
9514 1404 393
Answer:
-1/2 < x < 3
Step-by-step explanation:
First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.
f(x) = 2x^2 -5x -3
f(x) = 2x^2 -6x +x -3
f(x) = 2x(x -3) +1(x -3)
f(x) = (2x +1)(x -3)
The x-intercepts are the values of x that make these factors zero:
2x +1 = 0 ⇒ x = -1/2
x -3 = 0 ⇒ x = 3
The graph of f(x) is negative on the interval ...
-1/2 < x < 3
What the radical form of 13 2/3
Answer:
1/13 2/3
Step-by-step explanation:
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the simplest form of the radical expression?
(in attachment)
Two lines intersect. Find the value of b.
bo
42°
cº
Step-by-step explanation:
b = 42
c = 138
plz mark my answer as brainlist plzzzz if you find it useful .
Amanda has $56.10 in her bank account in March. In May she has 4 times as much money in her account than she did in March. In June she adds $75.22 to her account. How much money does Amanda have in her account in June?
Answer:
$299.62
Step-by-step explanation:
Amanda has $56.10 in his bank account in march
In May he has 4 times this money
= 56.10×4
= 224.4
In June she add $75.22 to the money
= 224.4 + 75.22
= 299.62
Hence in June Amanda has $299.62 in her account
A vet weighs 2 puppies. The small puppy weighs 2 1/9 a pound. The bigger puppy weighs 1 2/7 times as much as the small puppy does. How much does the big puppy weigh?
Answer:
2 5/7
Step-by-step explanation:
In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.
The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.
Please help. Due today.
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
because 2^ 3= 16 so you can pull it out.
Find the surface area of the triangular prism
Answer:
168.43524
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1
2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524
what is this type of question called and how can i solve it?
Answer:
Total number of year pass [n] = 22 year (Approx)
Step-by-step explanation:
Given:
Beginning price of cottage [P] = $25,000
Price reduce every year [r] = 10% = 0.1
Final price [A] = $2,500
Find:
Total number of year pass [n]
Computation:
A = P[1-r]ⁿ
2,500 = 25,000[1-0.1]ⁿ
0.1 = [0.9]ⁿ
Total number of year pass [n] = 22 year (Approx)
Which side of DEF is the longest?
A. DE
B. EF
C. DF
D. Cannot be determined
[tex] \huge {\tt{Answer:}} [/tex]
A. DE
Option (A) DE side of the triangle DEF is the longest side.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.
The sum of the interior angles of a triangle is equal to 180°.
⇒ [tex]\angle D+\angle E+\angle F=180[/tex]
⇒ [tex]65+42+ \angle F=180[/tex]
⇒ [tex]\angle F=180-107[/tex]
⇒ [tex]\angle F=73[/tex]
The side corresponding to the ∠D is EF, ∠E is DF, ∠F is DE
The angle which is greater has the longest side.
⇒ [tex]\angle F > \angle D > \angle E[/tex]
⇒ [tex]DE > EF > DF[/tex]
Thus the side DE has the longest length.
Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.
Learn more about triangles here
https://brainly.com/question/14759217
#SPJ2
Simplify
(2m-m) - (3m+4n)
cual es el opuesto de -5
Answer:
I think number 5
in a survey about favorite breakfast foods 3/8 of those surveyed chose cereal,0.125 chose yogurt 0.1875 chose fruit and 5/16 chose toast wihch food got least numbers of votes
cereal is the least amount of numbers
The clock shows the current time. When will it be 7:00?
12
11
1
10
2
9
3-
It will be 7:00 in
minutes.
8
4
5
Answer:
It will be seven in 10 mins
Step-by-step explanation:
hope this helps
√26+10-15 cuanto es me ayudan ?
Step-by-step explanation:
If the whole thing is in a square root, then the answer is sqrt21.
If only sqrt26 is in the square root, then the answer is -5+sqrt26.
(esto es en español) (This is in spanish transalation)
Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.
Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.
What is the answer to this: Morgan bought 5 marble statues. They weighed 126.5 pounds altogether. How much did each statue weigh?
Answer:
25.3 pounds if all the statues way the same
Step-by-step explanation:
Answer:
25.3 lbs
Step-by-step explanation:
Assuming that all the marble statues weight the same amount, simply divide the total weight with the amount of statues:
126.5/5 = 25.3
25.3 lbs is the weight of each statue.
™
1. Use the number line to help you decide which statement is true.
Answer:
2/5 < 1/2
Step-by-step explanation:
First, find the LCM for both denominators because you can't multiply 2 to get to 5. The LCM of 5 and 2 are 10, so you put that as their denominator. Then you have to think what you multiplied by 5 or 2 to get 10. For 2/5, you multiplied 5 by 2 to get 10, so multiply the numerator by 2 too. For 1/2, you multiplied 2 by 5 to get 10, so multiply the numerator by 5. Now, you will have 4/10 and 5/10. It's pretty obvious that 5/10 is bigger than 4/10, so the correct answer is 2/5 < 1/2
If anyone could answer any of these that would be awesome
Answer:
10
Step-by-step explanation:
12.)
m = -2 n = -3
Evaluate: m(m + n)
Substitute!
-2(-2 + -3)
Do the parenthesis
-2(-2 -3)
(-2)(-5)
= 10
I hoped this helped
