What is the measure of DBE?

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

Answer:

a is the wrong answer

Step-by-step explanation:

the area of the circle is 40.8407 in^2

Answer:

-2/5

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= (3-9)/(0+15)

= -6/15

= -2/5

Answer:

143 students

Step-by-step explanation:

multiply then add :)

Answer:

143 students

Step-by-step explanation:

78 boys

5/6 times as many girls

78 x 5/6 = 65 girls

78 + 65 = 143 students in total

Answer:

Ben

Step-by-step explanation:

Ben filled

[tex]25 \div 20[/tex]

Which is 1 minute and 25 seconds

Corrine filled

[tex]27 \div 24[/tex]

Which is 1.125 so about 1 minute and 13 seconds

Answer:

7/20

Step-by-step explanation:

You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.

Answer:

First, we find how many red beads there are:

2 + 1 + 3 = 6

12 - 6 = 6

Red beads = 6

Now we add the red beads and the purple beads:

Purple beads = 3

Red beads = 6

3 + 6 = 9

9/12 = 3/4

Hope this helps!

Answer:

Step-by-step explanation:

4(5 +6) - 15

4(11) - 15

= 44 - 15

= 25

The solution is equal to 29

Answer:

[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]

It's Equal to 29

Answer:12/50 * x/588

Step-by-step explanation:= 141.12

588 - 141.12 = 446.88

I would expect 447 students to prefer Coke.

Hope this helps

Answer:

5) arccos A = 28°

6) arcsin A = 53°

Step-by-step explanation:

5) cos A = 30/34

6) sin A = 32/40

5)

For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).

In this case,

cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17

6)

For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.

In this case,

sin(A) = opposite / hypotenuse = 32 / 40 = 4/5

A way to remember sine, cosine, and tangent is SOHCAHTOA, where

SOH is Sine = Opposite / Hypotenuse

CAH is Cosine = Adjacent / Hypotenuse

TOA is Tangent = Opposite / Adjacent

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

Answer:

C. 0.64

Step-by-step explanation:

Sana makatulong :-)

Answer:

$ 28,665.11 must be deposited today into the account.

Step-by-step explanation:

Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:

X x (1 + 4/12) ^ 5x12 = 35,000

X x (1 + 0.333) ^ 60 = 35,000

X x (1,333) ^ 60 = 35,000

X x 1.220999 = 35,000

X = 35,000 / 1.22099

X = 28,665.11

Thus, $ 28,665.11 must be deposited today into the account.

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

Answer:

It is the value of pie(22/7)

Answer:

I'm not sure about "11" but  12. is "by the definition of right angles", and 16. is "by the SAS(side angle side) congruency theorem"

Answer:

<3 is 79 degrees and they are corresponding angles

Answer: The answer to the first question is measure 3 is 79 degrees. For the second one the angles are known as corresponding angles.

Step-by-step explanation:

Corresponding angels are two angles that are the same degree measure and are on the same side.

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

hi lol Idek anyways tell me if its wrong

Answer: 51,440

Step-by-step explanation:

If a Veterinary tech earns 32,490 and a Barista earns 19,630

You're gonna create the equation ( 32,490 x 4 ) and get 129,960. Then your gonna subtract ( 19,630 x 4 ) from 129,960  and get around 51,440.

Also, you get the 4 from the number of years he works, which is 4.

Answer:

pretty sure its 68 or 66 dont put 34 tho lol

Answer:

45 man all day long

Step-by-step explanation:

i say 45 because it just is.

Answer:

x=2

Step-by-step explanation:

Because you Subtract 1 from both sides of the equation

and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2

Answer: x = 14/5.   Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5

Answer:

Step-by-step explanation:

2(x +3) = 8 - 3 (x-4)

=> 2x + 6 = 8 - 3x + 12

=> 2x + 3x = 8 - 6 + 12

=> 5x = 14

[tex] = > x = \frac{14}{5} [/tex]

=> x = 2.8 (Ans)

Answer:

5th term

Step-by-step explanation:

x^2 +3 = 28

Subtract 3 from each side

x^2+3-3 =28-3

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

(x could be -5, but there are not usually negative terms in a sequence)

Answer:

The value of X1 is -5, X2 is +5.

Answer:

C. π ft ²

Step-by-step explanation:

:)

Answer:

c. 3.14^2

Step-by-step explanation:

A= pi × R^2

have a good day

Answer:

500,000

Step-by-step explanation:

Answer:

500,000

hope this is right