In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x =-0.4226
Give your answers to the nearest degree.

Answers

Answer 1

Answer:

The value of x within the interval are 115° and 245°

Step-by-step explanation:

Given the trigonometric equation;

cos x =-0.4226

To get the value of x within the range 0° < x < 360°, we need to take the arc cosine of the value as shown;

x = arccos -0.4226

x = 114.99°

x ≈ 115°

Since x is positive in the 4th quadrant, the value of x can also be 360 - [tex]\theta[/tex]

where [tex]\theta = 115^{o}[/tex]

x2 = 360°-115°

x2 = 245°

The value of x within the interval are 115° and 245°

Answer 2

Answer:

The value of x within the interval are 115° and 245°

Step-by-step explanation:


Related Questions

What is the height?
4m
3m
2m
find area

Answers

Answer:

I think the area is 24

Step-by-step explanation:

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?

A.
19
B.
29
C.
30
D.
31

Answers

Answer:

  D.  31

Step-by-step explanation:

The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...

  ∛(1331 m³) = 11 m

For the box that is 729 m³, the height is ...

  ∛(729 m³) = 9 m

Then the total height of the stack of boxes is ...

  11 m + 11 m + 9 m = 31 m

Answer:

31

Step-by-step explanation:

I took the test on Edmentum, have a good day hope it helps :)

find the value of x. Round the length to the nearest meter

Answers

Answer:

we need a picture to help

What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and Choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...

Answers

Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3

Step-by-step explanation:

Answer:

(1st box) = 6

(2nd box) = 2

(3rd box) = 2/3

Step-by-step explanation:

I got a big brain


Find AB
Round to the nearest tenth.

Answers

Answer:4.1

Step-by-step explanation:

c=AB

C=26°

B=122°

b=8

Using sine rule

c/sinC = b/sinB

c/sin26=8/sin122

Sin26=0.4384

Sin122=0.8480

c/0.4384=8/0.8480

Cross multiply

c x 0.8480=8 x 0.4384

c x 0.8480=3.5072

Divide both sides by 0.8480

(c x 0.8480)/0.8480=3.5072/0.8480

c=4.1

What’s the correct answer for this?

Answers

Answer:

i think it's B

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

A median cuts a triangle into half (2:1) so the triangle is divided into two equal parts.

Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3

Answers

Answer:

y = -x - 2

Step-by-step explanation:

Note that the given line, y=-x+3, has a slope of -1.  Any new line parallel to this one must also have that slope, -1:

y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:

3 = 5 + C, or C = -2

Thus, the desired equation of this new line is y = -x - 2

A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourth
of the calzone on Saturday. The next​ day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone ​remain? Explain your reasoning.

Answers

Answer:

10 pieces

Step-by-step explanation:

Total no. of pieces of calzone = 24

No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

Total no of pieces eaten by both of them on saturday = 12.

No of pieces of calzone left = 24-12 = 12

_______________________________________________

No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone  left= 1/6 of 12 = (1/6)*12= 2 pieces

No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.

Thus 10 pieces  of original calzone are left  .

3) Write an equation of a circle satisfying the following conditions:
Center: (-2,5)
Radius: 23
a) (x - 2)2 + (v + 5)= 12
b) (x + 2)2 + (y – 5)2 = 12
c) (x - 2)2 + (y + 5)= 144
d) (x + 2)2 + (-5) = 154

Answers

Answer:

Ok :] ummmm report me i'm no help.

Step-by-step explanation:

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B I think........./.........

simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)

Answers

Answer:

46

Step-by-step explanation:

17−5(3−4)+(−8)(−3)

=17−(5)(−1)+(−8)(−3)

=17−(−5)+(−8)(−3)

=22+(−8)(−3)

=22+24

=46

Sandy does babysitting in her spare time. She gets $100 advance pay and $10 per hour for babysitting. She wants to earn enough to buy a new Iphone for $450. How many hours she needs to babysit to earn enough money to buy the Iphone?

Answers

Answer: 35 hours

Step-by-step explanation: 450-100 because of the advanced pay, then you dived 350 by ten so you get 35 hours

Answer:

Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.

Explanation:

Sandy gets $100 advance pay and $10 per hour for babysitting.

Let x denotes the number of hours then  

10x + 100

Sandy wants to buy an Iphone for $450

10x + 100 = 450

Solving the above equation

10x = 450 - 100

10x = 350

x = 350/10

x = 35 hours

Therefore, Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.

According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?

Answers

Answer A should be correct

Answer:

f(x)=24x^7+3x^6+4x^3-x-28

Step-by-step explanation:

write it as a product: -[tex]ax^{6}[/tex]+[tex]\frac{1}{8}[/tex]

Answers

Answer:

[tex]\frac{-abx^{6}+1 }{b}[/tex]

Step-by-step explanation:

A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?

Answers

Answer:

  60 km/h

Step-by-step explanation:

The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...

  speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h

The average speed for the journey is 60 km/h.

a roll of dimes is 5. if the diameter of a dime is 18 millimeters and the height of each dime is 1.4 millimeters, what is the approximate volume of the roll of dimes?

Answers

Answer:

  17.8 cm³

Step-by-step explanation:

The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:

   V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³

Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...

  V ≈ 17.8 cm³

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:

B(t)=9,300•(1/64)^t

Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.

The bacterial culture loses 1/2 of its size every _________ seconds.

Answers

Answer:

  0.17

Step-by-step explanation:

The function can be rewritten as ...

  B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

  6t = 1

  t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

.17

Step-by-step explanation:

If a = -9 and b = -4, what is the value of a + b ?

-5
5
-13
13

Answers

Answer: -13

Step-by-step explanation:

-9 plus -4 equals -13

Answer:-13 I just know.                  

Step-by-step explanation:

Which of the following are mathematical sentences?
Check all that apply.

Answers

Answer:

A, B, C, F

Step-by-step explanation:

they need to include an = sign

Answer:

Now you know the answer from my explanation.

Step-by-step explanation:

The one which is not a mathematical statement is that which does not evaluate to anything.. Doesn't have the equal to sign

Write eight and fifteen hundredths in decimal notation

Answers

Answer:

8.15

Step-by-step explanation:

Answer:

0.08, 0.15

Step-by-step explanation:

A family has a phone plan that includes 4 GB of data per month. 10 days into the 30 day month the family has used 1 GB. At that rate how many GB will the family use for the entire month

Answers

Answer: The family uses 3 Gb in the entire month.

Step-by-step explanation:

A month has 30 days.

If in 10 days the family uses 1Gb, then in each day the family uses:

R = 1Gb/10 days = 0.1 Gb per day.

Then in 30 days the family uses:

30days*0.1 Gb er day = 3 Gb

The family uses 3 Gb in the entire month.

Does the point (-4,-14) lie on the line
y = 2x - 6?​

Answers

Answer:

Substitute the coordinate of point into line equation, we have:

2 x (-4) - 6 = -14

=> The point lies on the line

Hope this helps!

:)

david has to sell 778 chocolate bars to win a trip if each box contains 18 chocolate bars how many boxes will he need to sell to win the trip

Answers

Answer:

44 boxes

Step-by-step explanation:

778/18 = 43.222

round up cause you cant sell 2/10 of a box

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years?

a.) 74.3 feet
b.) 120 feet
c.) 144 feet
d.) 146.3 feet

Answers

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = (About) 74.30083707.......

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; Option A

12. Karen needs to spend at least $100 at a clothing store in order to receive 20% off her total purchase. So far she has spent $78 and she wants to spend the rest on new pairs of socks that cost $5.50 each. Write and solve an inequality to determine n, the number of socks Karen needs to buy in order to receive 20% off her total purchase.

Pick the Answer In the picture

Answers

Answer:

The answer would be the first one.

Step-by-step explanation:

5.50 x n which n=4 so its actually 5.50 x 4 which equals 22 then you add the 22 to the 78 to get the result of exactly 100 dollars.

What is the classification for this polynomial?
11

Answers

Answer: trinomial

Step-by-step explanation:

i answered it

Easy 5th grade math help me :>

Answers

Answer:

52

Step-by-step explanation:

Answer:

it is 52

Step-by-step explanation:

each number been add 4

32+4=36

36+4=40

40+4=44

44+4=48

48+4=52

Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer

Answers

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]

heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp

Answers

Answer:

Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it

Step-by-step explanation:

Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

Answers

Answer: A. (0,a)

[tex]f(x) = a \cdot b^x[/tex]

[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]

Answer:

I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.

Step-by-step explanation:

Jacob rolls a number cube numbered 1 to 6. What is the likelihood Jacob rolls a number less than 7?

Answers

100% because they’re all under 7
0%, the number seven does not fit into the numbers 1-6

Therefore youre likely to roll a number 7 on a dice (1-6) ZERO AMOUNT OF TIMES
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