Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
∠GHJ and ∠MHJ are complementary. If m∠GHJ=(6x)° and m∠MHJ=18°, find the value of x.
Answer:
The value of x = 12
Step-by-step explanation:
Here, we are to find the value of x
If the two angles are supplementary, it means that they add up to be 90 degrees
Thus;
∠GHJ + ∠MHJ = 90
6x + 18 = 90
6x = 90-18
6x = 72
x = 72/6
x = 12
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg
Answer:
V₂ = 450 cm³
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.
[tex]V\propto \dfrac{1}{P}[/tex]
If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg
We need to find a new volume. Using the above concept,
[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]
So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters
Goran took 3 hours to clean the bathroom. Then he took 2 hours to clean the kitchen. How much total time did Goran take to clean the two rooms?
Write your answer as a mixed number in simplest form.
Answer:
5
Step-by-step explanation:
if you dog a 6ft hole...how deep is that hole??
-Beetlejuice
Answer:
im confused lol
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
You started the day with a certain amount of money. You lost half of it. Then you lost an additional $100. Afterwards, you were given $5. Then you found $30. Afterwards, you lost half of your money again. You then lost another $8. You then gave away $7. You ended the day with $30. How much did you start with?
Answer:
$310
Step-by-step explanation:
starting backwards:
30+7=3737+8=4545*2=9090-30=6060-5=5555+100=155155*2=310Answer is $310Answer:
$310
Step-by-step explanation:
..................................................................
Answer:
<3
Step-by-step explanation:
What is the measure of 1?
Answer:
93
Step-by-step explanation:
Un robot en Marte tiene los siguientes desplazamientos antes de lograr encontrar el lugar con las coordenadas indicadas para empezar a analizar . Su desplazamiento es de: 25 m al Sur, 35 m a 15° partiendo del Este hacia el Norte y por último 20 m a 37° partiendo del Oeste hacia el Norte. Encuentra el desplazamiento de su recorrido
Answer:
El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este
Step-by-step explanation:
El movimiento del robot en Marte se da como sigue;
1) El desplazamiento sur = 25 m
2) El desplazamiento 15 ° al norte del este = 35 m
3) El desplazamiento 37 ° al norte del oeste = 20 m
Por lo tanto, tenemos la moción en forma vectorial;
1) -25[tex]\hat j[/tex]
2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]
3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]
Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;
R = (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]
R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]
La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m
La magnitud de R ≈ 17,4 m
La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °
La dirección de R ≈ -12,35 °
La dirección es aproximadamente 12,35 ° al sur del este
El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F.
His body temperature in the evening is __?__°F.
Answer:
102.6
Step-by-step explanation:
add 99.2 + 3.4
Which list shows the numbers in order from greatest to least?
0.6, 0.453, 0.563, 0.4
0.4, 0.453, 0.563, 0.6
0.6, 0.563, 0.453, 0.4
0.563, 0.6, 0.453, 0.4
Answer:
c
Step-by-step explanation:
its really simple it's c
Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?
Answer:
$4 per poundStep-by-step explanation:
given data
let the total charge be y
and let the number of pound be n
also let the charge per pound be p
we know that the expression for the total charges is given as
y=2+np
given that
y=$38
n=9
the expression the charges is now
38=2+9p
solving for p we have
38-2=9p
36=9p
p=36/9
p=4
therefore she is charged $4 per pound
Please help me out with my homework! This is super urgent! It's due in 18 minutes! Baranga lives in the city of Delmarville, North Carolina. She drives for 572 miles to Montgomery, Alabama. She drove for 22 hours. How long did she drive every hour?
Answer:
26 miles every hour
Step-by-step explanation:
she drove 572 miles for 22 hours
??????? for 1 hour
572/22= 26 miles per hour
Answer: 26 miles
We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.
Let m represent miles, and h represent hours.
m ÷ h = 26
Remember to always check your answer.
26 x h = m
Therefore, the answer is 26. Hope this helps you!
A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332
what are all the factors of 21?
Answer:
1, 3, 7, 21
p-by-step explanation:
For a class experiment, Sally's class weighed a log before and after
subjecting it to termites. Before subjecting it to termites, the log
weighed 2/3 of a pound. After the termites, the log weighed 5/12 of a
pound. How much weight did the termites take from the log?
Answer:
Jack Barlow
Step-by-step explanation:
Solve for y: -3y-6x= -18 *
Answer:
[tex]y=-2+6x[/tex]
Step-by-step explanation:
[tex]-3y-6x= -18[/tex]
[tex](-3y-6x)= -18+6x[/tex]
[tex]-3y-6x+6x=6x -18[/tex]
[tex]y=-2+6x[/tex]
The city council voted on a new tax. 20 city council members voted in favor of the tax and 60 voted against the tax. What percentage of the city council members voted in favor of the tax?
Answer: 25%
Step-by-step explanation: The total number of city council is 80 and 20/80 is 1/4
solve 3(x-4)=16+5x show work
Answer:
hi… I think it's written that way
3(x + 4) = 2x + 4x - 6 Please help i'll give 90 pts and I only have 113.
Answer:
x= 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
3x + 12 = 2x + 4x - 6
3x + 12 = 6x - 6
-3x = -18
x= 6
hope it helps
if it helps you, pls give me the brainliest.
Answer:
x = 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
~Distribute the left side
3x + 12 = 2x + 4x - 6
~Combine like terms on the right side
3x + 12 = 6x - 6
~Subtract 12 to both sides
3x = 6x - 18
~Subtract 6x to both sides
-3x = -18
~Divide -3 to both sides
x = 6
Best of Luck!
A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh
a) name the transversal connecting 1 and 5
b) name the transversal connecting 7 and 14
c) name the transversal connecting 8 and 11
d) name the transversal connecting 7 and 15
e) name the transversal connecting 3 and 9
Answer:
a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p
Step-by-step explanation:
The angles pairs and the transversal connecting them are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
Note the following about what a transversal is:
A transversal is a line that intercepts or cut-across two straight lines.A transversal will connect two angles that lie in two other straight lines the transversal intercepts.The two angles connected by a transversal can lie on opposite sides of a transversal or on same side along the transversal.Let's determine the transversal connecting the following given angles:
<1 and <5, is connected by transversal r.<7 and <14 is connected by transversal q<8 and <11 is connected by transversal s<6 and <15 is connected by transversal q<3 and <9 is connected by transversal pTherefore, the answers are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
Learn more here:
https://brainly.com/question/14067960
Help? Find angle psw
PLS help with the question in the picture!
Answer:
e then m 4
Step-by-step explanation:
cause thats how it goes
i need help with this
Answer:
1. x=9
2. x=2
3. x=6
Step-by-step explanation:
I only know 1-3 sorry, but hope this helps
Evaluate the expression for x = 2 and y = 4.
Answer:
2985968
Step-by-step explanation:
your welcome
Answer:
80
Step-by-step explanation:
12(2*2*2) =96
2*2*4=16
96-16=80
Multiply. Use the greatest common factor to write each answer in simplest form. 24 x 5/6
Answer:
120
Step-by-step explanation:
The common denominator of 24/1 and 5/6 is 6 so you multiply 24/1 by 6 which equal 144/6. Then you multiply 144/6 and 5/6 which equals 720/6. When you simplify it, it equals 120.
A restaurant bill is $20. Find the 15% tip.
Answer:
You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.
Step-by-step explanation:
Answer $3.00
Step-by-step explanation:
A corporate team-building event costs $1, plus an additional $1 per attendee. How many
attendees can there be, at most, if the budget for the corporate team-building event is $45?
Answer:
9 attendees
Step-by-step explanation:
1+4=5
46/5=9 R1 the slash is dividing it hope it help's
Answer:
9 attendees
Hope I helped
A patio is designed using two types of tiles. The tiles are similar isosceles triangles. The lengths of the sides of the larger triangle are 6 inches, 6 inches, and 4 inches. Which one of these could be the side measurements of the smaller triangle?
Ommited Answer Choices:
A. 4 inches, 4 inches, 4 inches
B. 3 inches, 3 inches, 3 inches
C. 3 inches, 3 inches, 2 inches
D. 2 inches, 2 inches, 3 inches
Answer:
C. 3 inches, 3 inches, 2 inches
Step-by-step explanation:
The ratio of the corresponding lengths of two similar polygons will always be equal.
Thus, the ratio of the smaller sides of both similar isosceles ∆ should equal the ratio of the other sides.
Thus, from the options given, the side measurements that could be that of the smaller triangle are: 3 inches, 3 inches, 2 inches.
This is because: ratio of one of the equal side of the larger triangle to one of the equal side of the smaller triangle equal ratio of the shortest side of the bigger triangle to the shortest side of the smaller triangle.
Thus: 6/3 = 4/2 = 2.
please help. you can select a,b,c,d or multiple.
Answer: b & d
Step-by-step explanation:
These are complex roots because they do not have x-intercepts.
Hope this helps!