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.
Eric and Kelsey each work after school to earn money. Eric charges $10, plus an additional $4 per hour to babysit. Kelsey charges $15, plus an additional $3 per hour to rake. Eric and Kelsey work the same number of hours. Which system of equations can be used to determine how many hours, x, they need to work to earn the same amount of money, y?
Answer:
the option 3 or c is correct
Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day. How long will 4 cups of dog food
last?
Answer: 8 days
Step-by-step explanation: Get out your calculator. Put in 1/2, did you get .5? You should've gotten .5. Now if you put in 4 / .5, then you'll get 8. Seems pretty simple I guess. Lmk if this helped you.
The dog food last for 8 days.
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.
Given:
Mr. Simpson feeds his dog 1⁄2 of a cup of dog food each day.
Total cups of food= 4
So, 4 cups of dog food lasts
= 4/ (1/2)
= 4 x2
= 8
Hence, the dog food last for 8 days.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
11 ounces of tomato soup has 70 calories. How many calories are in 22
ounces of soup? *
Answer:
140 ounces
Step-by-step explanation:
We use ratio and proportion.
[tex]\frac{11}{22} =\frac{70}{x}[/tex]
Cross multiply, and you get:
11x = 1,540
Divide both sides by 11. Thus:
140 ounces.
Answer:
140
Step-by-step explanation:
70/11 = 6.363636364
6.363636364 * 22 = 140
Can someone help me with this problem! I WILL GIVE A BRAINIEST!!! I need it asap PLEASE.
Answer:
(
−
1
)
(
3
2
+
−
6
)
Step-by-step explanation:
Samuel's parents own a chocolate shop, and today he gets to help make the nut truffles. Each truffle starts with one of 4 kinds of nuts and is dipped in one of 3 kinds of chocolate. How many different nut truffles can they make?
It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile
PLEASE HELP, I DON'T UNDERSTAND THE WORDING
Answer:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed = [tex]\frac{distance}{time taken}[/tex]
= [tex]\frac{1}{\frac{1}{8} }[/tex]
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.
Can someone help me in this math problem? It’s a picture of the problem if you can!
1. When x is 1, what value of y makes the equation true?
Answer:
Step-by-step explanation:
-0.5
Step-by-step explanation:
If x is 1, plug it into the equation.
So, y=-3(1) + 2.5
-3(1) = -3
now add.
-3+2.5 = -0.5
so that should give you y = -0.5
Last year, 576 students attended a local middle school. This year, 721 students attended the school. What is the approximate percent increase in the number of students at the school?
Math has me dead. Looks simple but it really isnt that easy.
Answer:
I am pretty sure the answer is A. I really hope this helps
Step-by-step explanation:
I dont have time to explain it im sorry my next class starts in 3 mins
Answer:A
Step-by-step explanation:
4. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
IT'S NOT B
Write a rule for the linear function in the table.
A. f(x) = –3x – 4
B. f(x) = -1/3x - 4
C. f(x) = x – 7
D. f(x) = 3x + 4
Answer:
A. f(x) = -3x - 4
Step-by-step explanation:
Find The Area of the parallelogram...Explain.
Answer:
8x17=136, so the area is 136 inches squared.
Step-by-step explanation:
How much would a house cost today if it cost $100,000 2 years ago before a 4% increase each year in housing prices?
Answer:
100000 × 1.04 × 1.04
Step-by-step explanation:
108160
How many terms are in the expression?
12a-2c+6
Answer:
3
Step-by-step explanation:
bc you can trust me
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
MN/sin72=10/sin18
MN=30.8
Rewrite using the
distributive property.
14 + 35?
whats the answer plz
Answer 7+7+35
Step-by-step explanation:
Answer:
I think (10*1)+4+(10*3)+5??
Step-by-step explanation:
the * represents a multiplication sign btw
Is it possible to construct a triangle with sides of lengths 40, 8, and 30?
Answer:
No, the two shorter sides must exceed the longer side.
Step-by-step explanation:
I think I have the answer but, I really need help with the steps!
Answer:
simplify to:
6-32768/-60
simplify more
-32762/-60
take away the negatives
32762/60
simplify the fraction
16381/30
keep going till you get the answer
the number of magazine subscriptions decreases by 8% each year.If there are 225,000 this year,how many will there be 7 years from now
Answer:
I got 147107
Step-by-step explanation:
If the subscriptions decrease by 8% each year then you would times 225000 by 0.08 then take the number you get from that and subtract it from 225000. And repeat until you get to the seventh year.
Johnisha paid $144 for 36 ice cream cones. She incorrectly calculates the cost per cone
to be $0.25 each.
Which statement identifies the error Johnisha most likely made in determining the cost per
cone and describes the correct method for determining the cost per cone?
Select the correct expressions.
Which expressions are equivalent to 3x + 2(x - 1) - 4?
3x + 2x - 2 - 4
5x -6
3(x-4)
3(x + 2) - 6
6(x - 1)
Reset
Next
NEED HELP ANSWER CORRECTLY PLS FOR A GRADE GIVING BRAINLIEST
Answer:
im pretty sure is c. but not 100 percent
what is the decimal word form of 120.95?
Which pair of angles is congruent?
The altitude of an airplane is decreasing at a rate of 40 feet per second. What is the change in altitude of the airplane over a period of 20 seconds?
Answer:
Step-by-step explanation:
-40t
-40(20)
-800 ft
Condense to a single logarithm : log 12 18+3 log 12 2
Answer:
2 or [tex] \log_{12} 144 [/tex]
Step-by-step explanation:
I assume 12 is the base.
[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]
[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]
[tex] = \log_{12} (18 \times 8) [/tex]
[tex] = \log_{12} 144 [/tex]
[tex] = \log_{12} 12^2 [/tex]
[tex] = 2\log_{12} 12 [/tex]
[tex] = 2 [/tex]
The entire expression simplifies to 2, but if you need the simplest log expression, then you can use
[tex] \log_{12} 144 [/tex]
Having trouble solving this
opt1.
667/1000
=66.7
hope u understand
Answer:
more like dividing the up ones with bottom ones
EX 717/1000=0.717
The width A rectangle is 3 cm less then its length. The perimeter of the rectangle is 30 CM. Find The length and width of the rectangle
w = l - 3
w = 9 - 3
w = 6
//
l = 9
w = 6
//
p = 2(9) + 2(6)
p = 30
HELP URGENT PLEASE !!!!!!!!!!!!!!!!!!
Answer:
y=69*43
Step-by-step explanation:
this is not correct because the words are writen
17 >n +4
I rlly need help now
Answer:
n=13
Step-by-step explanation:
Step 1: Flip the equation.
Step 2: Subtract 4 from both sides.