Answer:
2b
Step-by-step explanation:
a/b = 2/3
3a = 2b
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
Find all zeros f(x) =x^4-x
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)
Answer:
(-4, -5)
Step-by-step explanation:
You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?
Answer:
Step-by-step explanation:
Plug in the giving information, P = 4000, r = 0.06, n = 4,
and t = 5.
Use the order or operations to simplify the problem. If the
problem has decimals, keep as many decimals as possible
until the final step.
FV = 5387.42 Round your final answer to two decimals places.
on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
*ill mark brainliest*
A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?
During a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 2 hours. What value represents the change in the temperature of the container each hour?Thank you
Answer:
general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.
Step-by-step explanation:
Find the output, y, when the input, c, is 6. HELP ASAP
⅚–⅓ what is the answer to this fraction
Answer:
5×3-6×1/6×3=15-6/18=9/18=9
Answer:
5/6-1/3
taking LCM
(5-2)/6=3/6=1/2 is your answer
if f(x) = x+5 then fill the table
x| 1 | | 2 | |
y| | 3 | |5 |
Answer:
6,-2,7,0
Step-by-step explanation:
Use the equation and plug in values
f(1)=1+5
y=6
--
3=x+5
x=-2
--
f(2)=2+5
y=7
--
5=x+5
x=0
Nina mixes 200 mL of cranberry juice, 300 mL of grapefruit juice,and 700 mL of spring water to make fruit punch. What is the ratio of cranberry juice to grapefruit juice to spring water
Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
What is the answer to this??
How to solve the maze:
1. Start on the start space and complete the problem.
2. The answers are on the arrows but you have to choose the correct answer.
3. When the correct answer is chosen move to the next quest that the answer arrow is pointing to.
4. Complete answers as you go on until you reach the finish square!!
Please help me!! More points for solving.
Answer:
54, 32, 76, 72, 68, 29, 24,
Step-by-step explanation:
What is the measure of angle RTV?
Answer:
25 degrees
Step-by-step explanation:
70 degrees times 2 to get 140 for the outside arc on the left, then add 140 plus 90 plus 80 to get 310, then do 360-310 to get 50, then divide that by 2 to get angle RTV which is 25 degrees.
Right answers will get brainliest!
Answer:
42 = C (y ≤ 2)
43 = G (-x + 4x - 2)
44 = B (Its axis of symmetry is x = 14)
45 = H (x = 2)
I would appreciate it if someone helped me:)
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880
Answer:
A) $840
Step-by-step explanation:
15•40 gives us how much money he makes a week normally
divide the result, 600, by 5 to find out how much he makes a day normally which is $120
now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days
so he makes $120 normally and $240 on holiday
120•3= 360
240•2= 480
then add
360+ 480= $840
hope this helps <3
Find x and y with ray theorem
Answer:
x = 12 and y = 9
Step-by-step explanation:
Using the similarity theorem to fid the value of x and y
16/x = 16+6/16.5
16/x = 22/16.5
22x = 16*16.5
22x = 264
x = 264/22
x =12
Similarly
24/x = 24+y/16.5
24/12 = 24+y/16.5
2 = 24+y/16.5
24+y = 2 * 16.5
24+y = 33
y = 33-24
y = 9
Hence x = 12 and y = 9
Help please!!! I don’t knowwwwwwwww
Answer:
4th dot
Step-by-step explanation:
because
image down below if it is correct i will give brainliest
Answer:
it would be 17 im positive
Step-by-step explanation:
.
Answer: A) 8
Step-by-step explanation: since there are 8 girls every boy if there are 8 girls in the program 1x8=8 so there are 8 boys. plz mark me brainliest
25+2(3 x 4) - 7=???
Show ur works please
Answer:
42
Step-by-step explanation:
25+2(12)-7
25 + 24 - 7
49 - 7
42
[tex] \huge \color{Red} Answer: [/tex]
[tex]25 + 2(3 \times 4 ) - 7 = [/tex]
[tex]25 + 2 \times 12 - 7 = [/tex]
[tex]25 + 24 - 7 = [/tex]
[tex]49 - 7 = 42[/tex]
[tex] \huge \color{Blue} Explaination: [/tex]
First, Multiply the numbers inside the parentheses.
Second, Also Parentheses is also a Multiply sign so Multiply 12 and 2.
Third, Follow the left to right rule so add 25 and 24.
Lastly, Subtract the last number.
[tex] \large \color{Purple} Rules \: of \: PEMDAS:[/tex]
Follow left to right rule. Also the PEMDAS rule like:If you see a Parentheses do them first then Exponent next Multiplication and so forth.
[tex] \large \color{Green} PEMDAS \: stands \: for:[/tex]
P - ParenthesisE - ExponentM - MultiplicationD - DivisionA - AdditionS - Subtraction1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
Karen has $36.08. She bought a book for $8.65 and 2 records for $7.65 each. How much did she spend?
Answer:
She would have 12.13 cents left over
Step-by-step explanation:
Answer: The answer is $23.95
Step-by-step explanation: You could get the answer by adding 7.65+7.65+8.65 or 7.65x7.65+8.65
Convert to pints: 10 quarts
20 pints
1 pints
100 pints
5 pints
Answer:
20
Step-by-step explanation:
20 pints because your convert 10 quarts into pints
Answer:
i think 100 pints
Please help, I’ll mark you as brainliest!!!!!
Answer:c
Step-by-step explanation:
plz help me check if its right its kinda hard :(
Answer:
It is correct actually.
Step-by-step explanation:
141 + 39 = 180
Yeah, that's correct
Explanation: Supplementary angles add to 180 degrees. If angle R is 39 degrees then angle S has to be 141 degrees because 39 + 141 = 180.
I seem to be getting my questions wrong or be going on the wrong trail. Can someone help me decode this?
Answer:
A=4
B=3
C=2
D=1
Step-by-step explanation:
PLSSSSSS HELPPPPP ASAPPPP
Answer:
I believe its C
Step-by-step explanation:
If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.
A jet, cruising at 26,400 feet, begins its descent into JFK Airport, when it is 96 miles away. Another jet, cruising at 31,680 feet, is 120 miles from JFK when it begins its descent. Which of these two paths of descent is steeper? Is a linear model reasonable to use in this situation? Explain.
9514 1404 393
Answer:
first jet is steeper; not unreasonable
Step-by-step explanation:
The slopes in feet per mile for the two jets are ...
(26,400 ft)/(96 mi) = 275 ft/mi
(31,680 ft)/(120 mi) = 264 ft/mi
The descent of the first jet is steeper.
__
The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.
Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.
_____
Additional comment
Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.