(a) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.
Answer:
divide both sides by cosx
4 sinx/cosx = 1
4 tanx = 1
tanx = 1/4
x = arctan(1/4) = 14.04°
but the tangent is also positive in quad III
so x = 180+14.04 = 194.04°
x = 14.04° or 194.04°
Step-by-step explanation:
do by this step
The value of x is 75.52°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The equation is 4 cos x + 2 = 3 for 0° < x < 360°.
⇒ [tex]4cosx=3-2[/tex]
⇒ [tex]4cosx=1[/tex]
⇒ [tex]cosx=\frac{1}{4}[/tex]
⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]
⇒ [tex]x=75.52[/tex]
Hence we can conclude that the value of x is 75.52°.
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A coin is tossed. If heads appears, a spinner that can land on any number from 1 to 3 is spun. If tails appears, a second coin is tossed instead of spinning the spinner. What are the possible outcomes?
H1 H2
H1 H2 H3 TH TT
HH HT
H1 H2 H3
Answer:
H1 H2 H3 TH TT
Step-by-step explanation:
PLEASE HELP ME ASAP!
Answer:
B
Step-by-step explanation:
because its collecting the data, asking the 6th graders how they get to school
A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
Answer:
x=24
Step-by-step explanation:
there are different ways to solve the problem
set up a proportion:
16/(2/3)=x/1
cross multiply
(2/3)x=16
(3/2)(2/3)x=(3/2)(16)
x=24 square feet per hour
a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)
this means he lays 4 square feet every 10 minutes
8 square feet in 20 minutes
12 square feet in 30 minutes
24 square feet in 60 minutes
Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?
Answer:
it's 8ft
Step-by-step explanation:
1=4 2=8just put 2and2 together
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0,-1)?
please help
PLSSSSSS HELPPPP 20 POINTSSS PLSSS
1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}
Answer:
I believe it’s A bc there are only 4 cars in the toy box
Step-by-step explanation:
Brainliest if correct?
thanks have a good day!
Answer: a........ I think im not sure sorry
Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.
PLEASE SHOW ME HOS TO DO IT!!
Answer:
Ok
Step-by-step explanation:
please help I really need this
No links!!
No spams!!
Answer:
725
Step-by-step explanation:
Work out the answers of the following:
1) −2 - 7 + 4=
2)−20 + 11 − 6=
3)−5 + 14 − 8=
4)−13 − 4 + 6=
5)−30 − 80 + 40=
HELPPP PLEEEAAAASSSSEEE!!!! :(
Answer:
1)-5
2)-15
3)1
4)-11
5)-70
if negative use () for example
(-2)-7+4
Answer:
1. -5
2. - 15
3. 1
4. - 11
5. -70
b) if your friend wants to be as happy as possible, how many cheeseburgers should he eat? How do you know ? Answer question B
Answer:
Find out what x should be the apply by the power of 2 then you should be good
Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?
Answer:
Yes, SAS.
Step-by-step explanation:
3/5 = 0.6 and so does 4.8/8
Please help me asap i need help quickly
Step-by-step explanation:
Volume of cuboid is length* breadth" height
Volume of cuboid is length* breadth" height=10*8*6= 480cm³
volume of traingular prism= this I don't know
okay wait...imagine there is other half of the traingle such that it becomes cuboid...now find area of cuboid = 5*5*4= 100
now divide by 2 to get half volume ( one triangular prism)
which is 100/2= 50
Volume of traingular prism= 50cm³
Total volume of figure= 480+50= 530cm³
What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?
a.3,879
b.2,674
c.-1,980
d.-1953
Answer:
D. a109=-1,953
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-3x + 2y = -8
3x – 2y = 8
A. No Solutions
B. Infinitely Many Solutions
C.One Solution
Answer:
B) Infinitely Many
Step-by-step explanation:
0 = 0
Answer:
Step-by-step explanation:
Combine the equations
-3x + 2y = -8
3x – 2y = 8
obtaining:
-3x + 2y = -8
3x – 2y = 8
-------------------
0 + 0 = 0
Since this is always true, this system has an infinite number of solutions (B)
help with this question thx
Answer:
3.5ft
Step-by-step explanation:
A child is flying a kite. If the string is pulled tight to its full length of 40 feet and is held at an angle of 71 degrees above the ground, how high is the kite? Round your answer to the nearest whole foot.
Answer:
38feet high
Step-by-step explanation:
Given the following
Length of the string = 40feet (hypotenuse)
Angle of elevation = 71 degrees
Required
Height of the kite (opposite)
Using the SOH CAH TOA identity
Sin theta = opp/hyp
Sin 71 = H/40
H = 40sin 71
H = 40(0.9455)
H = 37.82
Hence the kite is 38feet high (to the nearest whole number)
if y=12 when x=3, find y when x =15 ( Y varies directly as x)
Find the area of a regular hexagon with apothem 15. The answer should be 18 square root 3 but I don’t know how to get there.
Answer:
36 because you got to add
I NEED HELP ASAP PLEASE
Answer:
[tex]P = \frac{A}{1 + rt}[/tex]
Step-by-step explanation:
We can simply divide both sides of the equation by (1 + rt) and we get the answer.
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer:
Milk costs 75 cents per litre.
Bread costs $1.75 per loaf.
Step-by-step explanation:
PLS HELP NO LINKS. Assume that RQ and RS tangent to circle T. solve for x.
Answer:
x = 6
Step-by-step explanation:
Here, we want to solve for the value of x
mathematically, tangents drawn from the same point to touch two points on a circle, are the same distance from the external point
thus;
QR = RS
Thus;
3x + 8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?
Answer:
$4.30
Step-by-step explanation
$43 x %50 = $21.50
$21.50 x %20 = $4.30
If the item originally cost $43 then Dan paid $17.20 for the item after the discount.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store.
We have to find the amount paid by Dan after the discount.
If the original price of the item was $43 and it was half price, then Dan paid:
$43 / 2 = $21.50
Dan also gets a 20% discount on this price, so the amount he paid after the discount is:
$21.50 - 0.20($21.50) = $17.20
Therefore, Dan paid $17.20 for the item after the discount.
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i need 17 thanksssssssss
Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer.
Answer:
solution:
relation between perpendicular and base is given by tan angle
so
[tex] \tan(ø) [/tex]=perpendicular/base=4/13
ø=tan-¹ (4/13)=17.10°
angle indicated =ø=17.10°
Sally rides her bike to the store to get some Skittles. The store is 5 km away. If it takes her 10 minutes to get to the store what is her average speed?
An airplane has an airspeed of 500 kilometers per hour (k/hr) in a
northerly direction (N 0˚ E). The wind velocity is 60 k/hr in a southeasterly (S45˚E)
direction. Let Va be the velocity of the plane relative to the air and Vw be the velocity
of the wind (both in terms of i and j).
1. Find vg = va + vw, the path of the plane relative to the ground. Round coefficients to the nearest tenth.
2. Find the actual speed and direction of the airplane relative to the ground. Round to the nearest tenth.
Please answer the question above.
Answer:
d = 12in
r = 6in
r^2 = 36
circumferenece = 37.7
Step-by-step explanation:
c = 2πr
c = 2π6 = 37.69911
x+7=15
help me fasttttttt
Answer:
x=8
Step-by-step explanation:
x+7=15
-7 -7
x=8
Mark me Brainliest?
Answer:
Its 8
Step-by-step explanation:
x+7=15
Subtract 7 from both sides.
x=8