Answer:
[tex]m\angle ADC=132^\circ[/tex]
Step-by-step explanation:
The Law of Sines
It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:
[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]
We have completed the figure with the variable x for angle BDA. Thus
[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]
Solving for x:
[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]
Calculating:
[tex]\sin x=0.742[/tex]
[tex]x=\arcsin 0.742[/tex]
[tex]x\approx 48^\circ[/tex]
Since angles ADC and x are linear, their sum is 180° and:
[tex]m\angle ADC=180^\circ-48^\circ[/tex]
[tex]\mathbf{m\angle ADC=132^\circ}[/tex]
18. There are 6 showings of a film about
Van Gogh at the Art Museum. A total of 459 people saw
the film. The same number of people were at each showing
About how many people were at each showing? Circle the
numbers the quotient is between. Then explain how you
found your answer.
Answer:2,754
Step-by-step explanation:
i need help with this pls help 1 - 8 thanks if you do
HELP ME PLZ AND IF YOU HELP ME 10 POINTS
Answer:
3(c+4)
Step-by-step explanation:
It would usually be 3 x 4, but since there is a variable, it can`t be multiplied (unless you know what the value of the variable is). Thus the expression is 3(c+4).
Mackenzie has a 30 ounce soft drink. She drinks 28 ounces. Enter the percentage of ounces Mackenzie has left of her soft drink. Round your answer to the nearest hundredth.
Answer:
100
Step-by-step explanation:
30-28=100 if u round it to thr nearest hundreth because
30 2-2=0
- 18-8=10
-28
10 rounded to tye nearest hunderth is 100
There is a 0.9989 probability that a randomly selected 29-year-old male lives through the year. A life insurance company charges $197 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit.
Required:
a. From the perspective of the 29-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
b. If the 29-year-old male purchases the policy, what is his expected value?
c. Can the insurance company expect to make a profit from many such policies? Why?
Answer:
A) - Value that corresponds to surviving the year would be: $-197
- Value Corresponding to not surviving = $98803
B) $-88.1
C) Yes, because the insurance company expects to make an average profit of $88.1 on every 29 year-old male that it insures for 1 year.
Step-by-step explanation:
A) We are told that the life insurance company charges $197 for insuring that the male will live through the year.
Thus, the value that corresponds to surviving the year would be: $-197 since amount that's paid out is $-197
We are told that the policy pays out $100,000 as a death benefit.
Therefore, the value that corresponds to not surviving the year is:
$100000 - 197 = $98803
B) From complement rule in probability;
P(not surviving) = 1 - P(surviving) = 1 - 0.9989 = 0.0011
Expected value would be;
μ = Σx•P(x) = (98803 × 0.0011) + (-197 × 0.9989) = $-88.1
C) Yes, because the insurance company expects to make an average profit of $88.1 on every 29 year-old male that it insures for 1 year.
Pls help I will give Brainiest sorry if I spellt it wrong
A cake mix calls for these ingredients
3 cups of milk
6 cups of flour
2 cups of sugar
1 cup of oil
Which is the lowest ratio?
O milk/flour
O sugar/milk
O oil/sugar
O sugar/flour
Answer:
oil and sugar
Step-by-step explanation:
Select all the ratios that are equivalent to 4: 5.
14:27.5 2:2.5 3:3.75 2:3 8:10 7:8
Answer: All the ratios that are equivalent to 4: 5 are
2:2.5 3:3.75 and 8:10
Step-by-step explanation: You can check by making fractions of the ratios.
4/5 = 0.8
2/2.5 = 0.8 Also, the values are each half of the given ratio.
8/10 = 0.8 and the values are double the numbers in the given ratio.
3:3.75 this one is not obvious at first, but each value is .75 or 3/4 of the numbers in the given ratio, and it passes the decimal equivalency test:
3/3.75 = 0.8
The ratios that equivalent to 4 : 5 are given as 2:2.5, 3:3.75 and 8:10 respectively.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
In order to find the equivalent ratio cross multiplication is done as follows,
(a) 4: 5 and 14:27.5
Cross multiplication results as,
4 × 27.5 and 5 × 14
=> 110 and 70
Since 110 and 70 are not equal, it is not an equivalent ratio.
(b) 4: 5 and 2:2.5
Cross multiplication results as,
4 × 2.5 and 5 × 2
10 and 10
Since the results are equal, it is an equivalent ratio.
(c) 4: 5 and 3:3.75
Cross multiplication results as,
4 × 3.75 and 5 × 3
15 and 15
Since the results are equal, it is an equivalent ratio.
(d) 4: 5 and 2:3
Cross multiplication results as,
4 × 3 and 5 × 2
= 12 and 10
Since the results are not equal, it is not an equivalent ratio.
(e) 4: 5 and 8:10
Cross multiplication results as,
4 × 10 and 5 × 8
= 40 and 40
Since the results are equal, it is an equivalent ratio.
(f) 4: 5 and 7:8
Cross multiplication results as,
4 × 8 and 5 × 7
= 32 and 35
Since the results are not equal, it is not an equivalent ratio.
Hence, all the equivalent ratios are 2:2.5, 3:3.75 and 8:10 respectively.
To know more about ratio click on,
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what is the length of the side of the square with an area of 64 square feet length of a side= ___ feet?
Answer: 8ft
Step-by-step explanation:
the are of a square is 64
A=l x l or A=l^2
64= l^2
l=sqrt64=8
need 10 thanks i also give you
Answer:
bet
Step-by-step explanation:
Solve for x.
x/8 - 2 = -3
Answer:
The correct answer is x = -8.
Step-by-step explanation:
To solve this equation, we want to get the variable x alone on the left side of the equation. To do this, we should first add 2 to both sides of the equation.
x/8 - 2 = -3
x/8 -2 + 2 = -3 + 2
x/8 = - 1
Next, we should multiply both sides of the equation by 8 to isolate the variable x.
x = -8
Therefore, the correct answer is x = -8.
If we want to check our answer, we can plug -8 back into the original equation.
-8/8 - 2 = -3
-1 -2 = -3
-3 = -3
Since the two sides match, we know that we got the correct answer.
Hope this helps!
In Mr. Snarey's class 8 out of 25 students are boys. What percentage are girls?
HELP!! PLEASE
Math question angles
m<1 = 131
m<2 = 49
m<3 = 131
<4 and <2 are vertical from each other and so are <3 and <1.
<4 and <1 are a linear pair and so are <2 and <3.
To get <1 do this
180 -49 = 131
m<1 = 131
m<3 = 131 because they are vertical from each other
m<2 = 49 since it is vertical from <4
Vertical from each other means that they are across from each other and have the same measure.
Linear Pair means that two angles on the same line will equal to 180.
Ex: m<1 = 131 & m<4 = 49
So 131 + 49 = 180 Linear Pair
Hope this helps ya!!
PLEASE HURRY!!!!
Which expression is equivalent to Tangent (StartFraction 3 pi Over 4 EndFraction minus 2 x)?
StartFraction negative 1 minus tangent (2 x) Over 1 minus (negative 1) (tangent (2 x) ) EndFraction
StartFraction negative 1 minus tangent (2 x) Over 1 + (negative 1) (tangent (2 x) ) EndFraction
StartFraction 1 minus tangent (2 x) Over 1 + (1) (tangent (2 x) ) EndFraction
StartFraction 1 + tangent (2 x) Over 1 minus (1) (tangent (2 x) ) EndFraction
Answer:
B -1-tan(2x)/1+(-1)(tan(2x))
Step-by-step explanation:
Edge 2020
the original expression listed in the question can be simplified to -1+tan(2x)/1-tan(2x). expression B can also be simplified to -1+tan(2x)/1-tan(2x)
The expression equivalent to tan(3π/4 -2x) is -1-tan(2x)/1+(-1)(tan(2x))
What is tangent?It is the trigonometric identity.
Using the trigonometric formula , tan (A-B) = tanA - tanB/ (1+tanA tanB )
tan(3π/4 -2x) = tan(3π/4) - tan2x / 1+ tan(3π/4)tan2x
tan(3π/4 -2x) = -1-tan(2x)/1+(-1)(tan(2x))
Thus, the expression equivalent to tan(3π/4 -2x) is -1-tan(2x)/1+(-1)(tan(2x))
Learn more about tangent.
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Guys can you please help me ?!!!!!!):
Answer:
12+20=32
32/2=16
20-16=4
Vertex x-int is 4.
Step-by-step explanation:
what is 1 whole subtract 9/10 of a fraction
Answer:
1/10
Step-by-step explanation:
1 = 10/10
10/10 - 9/10 = 1/10
Good luck!
Identify the LCM for 6 and 18.
36
108
18
6
Answer:
The LCM for 6 and 18 is 18.
The actual distance between Apple Street and Pear Road is 8 miles. On a map, the distance is 3.5 inches. What proportion can you form to determine the scale on the map? 1 inch = ?
Answer:
3.5in/1in=?/8miles
Step-by-step explanation:
because if you multiply 3.5x8miles you end up with ## and then you divide that with # and you get this answer:)
Answer:
3.5/1 =?/8
Step-by-step explanation:
Question 1 options: Line XZ bisects Angle WXY. If the measure of Angle WXZ = 60˚, what must be the measure of Angle YXZ?
Answer:
Step-by-step explanation:
73.8 thank me later
HELP ASAP!! Linear Equations
x/7=3
A. 21
B. 3/7
C. 20
D. -21
Answer:
21
Step-by-step explanation:
put 21 were x is and then divide 21÷7=3
Answer:
A. 21
Step-by-step explanation:
If you were to place every answer choice with x. The only right one is 21. 21/7=3 is correct.
PLS I NEED HELP I NEED DEM SMART PEOPLE. A sweater is on sale for 65% of the original price of $35. Calculate the sale price
Answer:
your answer is 100 <3 have a nice day
Step-by-step explanation:
can you help me out with his? giving brainliest and 20 points!!!
help! 50% of what is 20?
50% of 10 is 20
hope this helped
:)
HELP ASAP!!!!!! BRAINLIEST
Answer:
the base is 3
Step-by-step explanation:
Answer:
I don't know if this is ganna help at all
0- y=54
1 - y =6
2- y=18
3- y= 54
(-12,-4) (4,8) what is the slope?
Go For questions 6a-6d, choose Yes or No to tell whether 3 is the GCF of the pair of numbers. 6a 9, 15 6b 12, 18 6c 15, 27 6d 30, 45
Answer:
yes,no,yes,no
Step-by-step explanation:
Jayden filled his 390 gallon pool with water in 10 hours. How many gallons
per hour did he use?
Answer:
39 gallons
Step-by-step explanation:
390/10 = 39
Therefore,
Jayden used 39 gallons per hour.
what is 1,000,000÷500×42
Answer:
84000
Step-by-step explanation:
Answer:
fish?
or it could be the real answer instead of fish-
Determine whether each Identity is true or raise. (2 pommes)
True
False
a3 – 63 = (a - b) (a² + ab + b)
a² + 2ab + b2 = (a + b)(a + b)
O
a? – 2ab + b2 = (a + b)(a - b)
a? – b2 = (a + b)(a + b)
O
Susan's average grade on all her math exams is exactly 78. She figures that if she gets a 92 on the next exam her new average will round to 80. Find the possible numbers of exams Susan might have taken, including her last exam.
Answer:
7
Step-by-step explanation:
Let x be the number of exams Susan took not inculing the last.
78x+92=80(x-1)
2x=12
x=6
Thus, the answer is 6+1=7
A mixture of nuts contains 2 kg of cashew nuts and
600 grams of peanuts. What is the ratio of peanuts to cashew nuts in the mixture?
Answer:
3 : 10
Step-by-step explanation:
2 kg = 2000g
600g peanuts : 2000 cashew nuts
600 : 2000
divide both sides by a common divisor ( 200)
600/200 : 2000/200
3 : 10