Solve for x in the triangle. Round your answer to the nearest tenth.

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

If we want the time for 18 pages, we would multiply both sides by 18

So,

18 pages = 3×18 mins

18 pages = 54 mins

Answer:

C

Step-by-step explanation:

1 page every 3 minutes

18 pages will take 3 × 18 = 54 minutes to read.

Answer:

x<12

Step-by-step explanation:

Divide both sides by 5

5(x+5) < 85

   5         5      

then simply

Answer:

x < 12

Step-by-step explanation:

[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]

Answer:

The average rate of change for the amount of money is A) $25 per month

Step-by-step explanation:

From the graph we can see Sarah earn $50 every two months, 50/2 = 25/1 so we can determine Sarah's average rate of change from month 0 to month 12 is $25 dollars per month. Hope this helped, let me know if you have any questions! :)

Answer:

The real part is -1

Step-by-step explanation:

The real axis is the horizontal axis

The value on the horizontal axis is -1

Answer:

Neither angle P nor angle Q is exactly 45 degrees, but both are closer to 45 degrees than are the other choices.

Step-by-step explanation:

Answer:

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Step-by-step explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]

[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Answer:

2,500 mg

1,310 + 350 = 1,660

1,660 is 66.4% of 2,500

Answer:

5

Step-by-step explanation:

Let's call the original number x.

So, the first student did x+23, and the other student did x-1.

You know that the first students result was 7 times larger than the other students. So, you can make the equation:

x+23=7(x-1)

x+23=7x-7

Then, do the algebra

-6x=-30

x=5

Answer:

5

Step-by-step explanation:

let the number =x

x+23=7(x-1)

x+23=7x-7

7x-x=23+7

6x=30

x=30/6=5

Answer:

28.07° ; 70.53° ; 53.13° ; 36.87°

Step-by-step explanation:

Using PYTHAGORAS RULE :

IMAGE 1:

value of cos α equals :

cos α = Adjacent / Hypotenus

cos α = 15 / 17

cos α = 0.88235

α = cos^-1 (0.88235)

α = 28.07°

IMAGE 2:

sin β = Opposite / Hypotenus

sin β = 14√2 / 21

sin β = 0.9428

β = sin^-1(0.9428)

β = 70.53°

IMAGE 3:

From trigonometry :

cot = 1 / tan

Tan = Opposite / Adjacent

Therefore, Cot = Adjacent / Opposite

cot γ = 3/4

cot γ = 0.75

γ = cot^-1 (0.75)

γ = 53.13°

IMAGE 4:

tan α = Opposite / Adjacent

tan α = 15 / 20

tan α = 0.75

α = tan^-1 (0.75)

α = 36.87°

Answer:

15

Step-by-step explanation:

Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

Answer:

B. ( - 2, - 5)

Step-by-step explanation:

Coordinates of point A are ( - 2, - 5).

Answer:

D

Step-by-step explanation:

The figure A will be translated 6 units to the left to make it on figure B

Answer:

I'm guessing you would like to know what -4 - 6 is? It's -10.

Step-by-step explanation:

-4 - 6 = -10

You add -4 and 6, and you get -10. I hope this helped or you meant to phrase the question differently.

Answer:

The difference between -4 and 6 is 10

Step-by-step explanation:

Hope this helps :)

Answer:

The x-value is between 2 and 3, and the y-value is between –4 and –5

Step-by-step explanation:

The system of equations:

y = 1/4x - 5

y = -1/2x - 3

is shown in the figure attached. There it can be seen that the solution is (2.667, -4.333). This can be corroborated as follows:

y = 1/4(2.667) - 5 = -4.333

y = -1/2(2.667) - 3 = -4.333

Answer:

A its a

Step-by-step explanation:

Answer:

180 degrees

Step-by-step explanation:

Answer:

Use this website it gives you the answer and show the work

math

way

dot

com

Step-by-step explanation:

Answer:

24a: n = 5/14

24b: p = 18

25a: (x + 11) (x - 12)

25b: x (x + 2) (x - 2)

Step-by-step explanation:

I hope this helps

Answer:

B

Step-by-step explanation:

To solve this, we can make all of the numbers decimals.

π=3.14159265 and so on

Root 10 is about 3.16227766

22/7 is about 3.14285714

3.14 is already a decimal.

Now, our numbers are far easier to compare.

Let's put the numbers in increasing order.

3.14, 3.14159265, 3.14285714, 3.16227766

Substitute the original numbers in.

3.14, π, 22/7, Root 10

Therefore, option B is correct.

Answer:

-2/3

Step-by-step explanation:

We need a negative fraction

The numerator has to be smaller than the denominator to be between 0 and -1

Answer:3rd one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The question is asking for what y would be when x is 2.

So, look on the graph where x = 2.

When x = 2, y = 6.

This means after 2 hours, the cost is $6

Answer: The answer is the second one/b.

Answer:

D. 22/1=x/3

Step-by-step explanation:

Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.

Answer:

8.5

Step-by-step explanation:

For this we will use trigonometry.

First lable the diagram: 13 will be the hypotenuse (H), x will be the opposite(O). Therefore, we will use sin as it is SOH.

sin Θ = [tex]\frac{O}{H}[/tex]

sin 41 = [tex]\frac{x}{13}[/tex]

x = 13 sin 41

Type this into the calculator, then you will get 8.5287677377. Round this to the nearest tenth will be 8.5.

As the question does not give any units, there will be no need to write any units after the answer.

Hope this helps

Answer: 8.53

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 49°

x = hypoteneuse·sin(A)/sin(B) = 8.53

Answer:

40

Step-by-step explanation:

The sum equals 80 80/2=40

Answer:

3

Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Use substitution

x - 4 = 1/3x

Step 2: Isolate x

2/3x = 4

x = 6

Step 3: Plug back into original equation(s)

y = 6 - 4

y = 2

Answer:

(6,2)

Step-by-step explanation:

Let's use the substitution method.

x-4=1/3x

3x-12=x

3x=x+12

2x=12

x=6

y=6-4

y=2

Answer:

(A) It's 6/5     (B) It's 7/8  

Step-by-step explanation:

Divide each term by -6 simplify.

Hope this helped you! I don't understand the last one sorry.

Answer:

14- yes

15-No

16-11.5

Step-by-step explanation:

14- yes ( attached a picture) 5/6

15-no, because Direct Variation: It is known as the relationship between two variables where the variable quantities have a constant ratio.

8y=7x-27

     y=7/8 x-27/8

16- ky=x where k is the constant variation

k=166/83=2

ky=x when x=23

y=x/k=23/2=11.5

Answer:

To find < E we use tan

tan E = opposite / adjacent

DF is the opposite

EF is the adjacent

DF = 11

EF = 11

tan E = 11/11

tan E = 1

E = 45

Hope this helps

Answer:

45 degrees

Step-by-step explanation:

Since this triangle is isosceles, we know that the other angles, D and E, are both 45 degrees because of the sum of interior angles of a triangle always equaling 180 degrees.

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

Circumference C=2πr  r=radius [tex]\pi =3.14[/tex]

C=2(3.14)9.7

C=60.9

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.[/tex]

Required

Prove

To start with; we open the bracket on the left hand side

[tex](sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x[/tex]

[tex](sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x[/tex]

Reorder

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

From trigonometry;

[tex]sin^2x + cos^2x = 1[/tex]

So;

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

Also from trigonometry;

[tex]sec^2x - tan^2x = 1[/tex]

So,  

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x[/tex]

Proved

Answer:

B

2(6)+4 > 16             x > 6                 2(7) + 4 > 16

12+4=16                                            14+4>16       18>16

Answer:

65°

Step-by-step explanation:

180°-50°:130°

130°÷2:65°

130° divide by 2 because the shape was isosceles triangle