7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.

Answer:

43

Step-by-step explanation:

First you divide the opposite side from the angle by the hypotenuse.

33/44

then you take the inverse sine of 33/44, resulting in

43.43°, which rounds to 43°

Answer:

C. 36π units²

Step-by-step explanation:

Surface area of a sphere: 4πr²

[tex]4\pi r^2\\4\pi (3)^2\\4\pi (9)\\36\pi[/tex]

x + ( x + 1 ) + ( x + 2 ) = -42

Opening the brackets and simplifying :

x + x + 1 + x + 2 = -42

3x + 3 = -42

Now , solving equation :

[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]

[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]

[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]

[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]

[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]

[tex]\bf \rightarrow \:x \: = \: - 15[/tex]

[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]

[tex]\bf \implies \: \:x \: = \: - 15[/tex]

[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]

[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]

-15 , -14 and -13 are the three consecutive integers.

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

Answer:

A

Step-by-step explanation:

(f*g)(x) = f(x) * g(x)

=(x2+1)(x4-1)=x6-x2+x4-1

The final step. You divided wrong.

8 = 400 / 120  = 10/3

Step-by-step explanation:

The final step. You divided wrong.

[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]

Answer:

3

Step-by-step explanation:

5 1/3 ÷ 1 7/9

Change to improper fractions

5 1/3 = (3*5+1)/3 = 16/3

1 7/9 = (9*1+7)/9 = 16/9

16/3 ÷ 16/9

Copy dot flip

16/3 * 9/16

Rewriting

16/16 * 9/3

1*3

3

Answer:

The orginal number is 26.

Step-by-step explanation:

So the units digit can be 3 6 or 9

The tens digit can be 1 2 or 3

So the original number can be 13

31 = 2*13+ (1+3) + 2

31 =? 26 + 4 + 2    

This doesn't work. The right side is 32

26

62 = 2*26 + 8 + 2

62 = 52 + 8 + 2

This is your answer.

3 and 9 won't work because 39 is odd and so is 93. The result has to be even.

Step-by-step explanation:

mình nghĩ là như vầy. Chúc bạn học tôt :))))

Answer:

x = 46.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin  54 = x / 58

58 sin 54 =x

x=46.92298

To the nearest tenth

x = 46.9

The complete table of the function is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

The equation missing from the question is:

[tex]y = 72 - 12x[/tex]

To complete the table, we simply calculate the y value for each x value;

When [tex]x = 0[/tex],     [tex]y = 72 - 12 * 0 = 72[/tex]

When [tex]x = 1[/tex],     [tex]y = 72 - 12 * 1 = 60[/tex]

When [tex]x = 2[/tex],     [tex]y = 72 - 12 * 2 = 48[/tex]

When [tex]x = 3[/tex],     [tex]y = 72 - 12 * 3 = 36[/tex]

When [tex]x = 4[/tex],     [tex]y = 72 - 12 * 4 = 24[/tex]

When [tex]x = 5[/tex],     [tex]y = 72 - 12 * 5 = 12[/tex]

When [tex]x = 6[/tex],     [tex]y = 72 - 12 * 6 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.

See attachment for graph

Learn more about graphs at:

https://brainly.com/question/20106471

Answer:

Step-by-step explanation:

Answer:

Total outcomes with two dice is:

Outcomes with sum of 7:

Probability:

Outcomes with sum of 5 or 10:

Probability:

Outcomes with same numbers:

Probability:

V = IR

2 = 1.5 x R

R = 2 / 1.5

R = 1 1/3 ohms

Hope this helps!

Answer:

x = 20

y = 70

Step-by-step explanation:

Since B and D are parallel :

6x - 10 + 3x + 10 = 180 add/subtract like terms

9x = 180 divide both sides by 9

x = 20

angle represented by y and 6x - 10 are supplementary and their sum is 180

y + 6x - 10 = 180 replace x with 20

y + 6*20 - 10 = 180

y + 120 - 10 = 180

y + 110 = 180 subtract 110 from both sides

y = 70

Answer: 75th term

Step-by-step explanation:

If you look at the first terms, you can see that we're subtracting 12 from the previous term to get the number. Knowing this, we can write an expression for the nth term. The expression would be -12n + 20. Since this specific term has value of -880, we set -880 equal to the value of -12n+20. By setting your equation like this -12n + 20 = -880 and solving, you get n = 75, which means the 75th term has a value of -880.

Answer:

x = 94

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Sum the 4 angles and equate to 360

x + x + 2x - 75 + x - 35 = 360

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94

Answer:

$8

Step-by-step explanation:

Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:

4x = 32

To solve this you divide 4 into each side of the equation:

4x = 32

----   ----

4      4

x   =  8

The answer is 8.

Hope this helped.

Answer:

Bruce's tiles covered more area than Felicia's, so this means Bruce has the greater unit rate.

Step-by-step explanation:

Got it right

The two congruent base angles tell us that this triangle is isosceles, meaning it has two congruent sides. Therefore, we can set the two expressions equal to each other and solve from there.

9x - 73 = 3x + 23

6x - 73 = 23

6x = 96

x = 16

Side = 3(16) + 23 = 48 + 23 = 71

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Since the base angles are the same, the side lengths are the same

9x- 73 = 3x+23

Subtract 3x from each side

9x - 3x- 73 = 3x+23 -3x

6x- 73 = 23

Add 73 to each side

6x - 73 +73 = 23+73

6x = 96

Divide by 6

6x/6 = 96/6

x =16

[tex]x {}^{2} + 17x + 30[/tex]

[tex]x {}^{2} + 2x + 15x + 30 \\ \\ = x(x + 2) + 15(x + 2) \\ \\ = (x + 2)(x + 15)[/tex]

[tex] \therefore[/tex] A= 2 And B= 15

Answer:  A. 300 m

Work Shown:

L/100 = 15/5

5L = 100*15

5L = 1500

L = 1500/5

L = 300

Answer:

cosC = [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]

Answer:

Please check out the attachments below to get the answer

Answer:

m∠TRS = 6°

m∠U = 103°

Step-by-step explanation:

In the given figure,

O is the center

RS ∥ VU

m∠V = 103° &

m∠VRT = 71°

So,

m∠V +  m∠R = 180°                (∵ sum of co-interior angles)

⇒  m∠R = 180° - 103°              (m∠V = 103° is given)

∵ m∠R = 77°    ...(i)

Now,

m∠R =  m∠TRS +  m∠VRT

by putting the values given

⇒  m∠TRS = 77° - 71°

∵ m∠TRS = 6°  

As we know that,

VURT is a cyclic quadrilateral. So,

m∠U +  m∠R = 180°

⇒ m∠U +  77° = 180°            (from equation (i)

∵ m∠U = 180° - 77° = 103°

Answer:

The probability that you won't be a hobbit=

[tex] \frac{2}{3} [/tex]

The probability that you won't choose an umbrella=

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

The characters are 3, minus the hobbit gives you 2. So the probability of that=

[tex] \frac{2}{3} [/tex]

The weapons are 5, minus the umbrella is 4. So the probability of that=

[tex] \frac{4}{5} [/tex]

Answer:

45

Step-by-step explanation:

a44 = 2 + (43 × 1) = 2 + 43 = 45

Answer:

What do uh mean?.......