Mathematics High School

Solve 17 and 18 please.

Answers

Answer 1

Answer:

Step-by-step explanation:

17.

sin20° = [tex]\frac{1}{x}[/tex]

x = 1 ÷ sin20°

x ≈ 2.9238

cos20° = [tex]\frac{x}{y}[/tex]

y = x ÷ cos20°

y ≈ 2.9238 ÷ cos20° ≈ 3.11

18.

x = 2√3 ≈ 3.46

y = √3 ≈ 1.732

Related Questions

Select the graph that would represent the best presentation of the solution set.
|xl > 5

Answers

There isn’t a picture but I think the answer is the one in the picture I attached.

she does 3 sets of 8 pushups 7 days a week, how many pushups does she do in one week

Answers

Answer:

24 push ups

3 x 8 = 24

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Which answer can be used to find the solution to the system of equations?

Answers

Answer: is b

Step-by-step explanation:

What is the value of x in the diagram?

Answers

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0 OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30[/tex]

Since x is the measurement of a side, it can't be negative. Therefore x = 30

If x^151+ 100 is divided by x+1 then the remainder is

Answers

Answer: 11 because it all works out.

Please help me solve my problem!!!

Answers

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

Assignment
1
Which is rational?
a. 64
b. 17
C. 67.714819...
22. Which is irrational?
a. 75.106
c. 101
Identify each of the following as Rational or Irrational.
3 -42
4 65.4279
5
98
16
6
25
7 57.013013..
8
18.44333777...
9
-139.04
24
10

Answers

It is irrational 33 anwser is a

find the volume of the rectangle

Answers

Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

Given that HCF (306,657) = 9, find LCM (306,657)

Answers

306 = 9 x 34
657 = 9 x 73
LCM(306,657) = 9 x 34 x 73 = 22338

In general the LCM(a, b) = ab / HCF(a, b)

Answer:

The LCM of 306 and 657 is 22338

Step-by-step explanation:

We know that

HCF (a, b) × LCM (a, b) = a × b

⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657

⇒ 9 × LCM = 306 × 657

⇒ LCM (306, 657) = 306 × 657 / 9

= 201042 / 9

∴ LCM = 22338

Thus, the LCM of 306 and 657 is 22338.

the difference between 8 times a number and 3 is equal to -19 what's the number

Answers

Answer:

-2

Step-by-step explanation:

x = the number

difference refers to subtraction

(8*x) - 3 = -19

8x - 3 = -19

+ 3 + 3

8x = -16

/ 8 /8

x = -2

Hope that helps!

Answer:

- 2

Step-by-step explanation:

let the number be n , then

8n - 3 = - 19 ( add 3 to both sides )

8n = - 16 ( divide both sides by 8 )

n = - 2

The number is - 2

Find the equation of the line that passes through the points (4,
11) and (-1,1). Write your answer in slope-intercept form. Bonus points for
writing it in the two other forms (make sure you label which form is which).

Answers

Step-by-step explanation:

the slope = (1-11)/(-1-4) = -10/(-5) = 2

the equation is : y -11 = 2(x-4)

=> y -11 = 2x -20

y = 2x -8 +11

y = 2x +3

other forms :

<=> 2x - y = -3

<=> 2x - y + 3 = 0

4. If you color the perfect squares on a multiplication table, you will be coloring a_______ line.

A. Diagonal
B. Vertical
C. Horizontal
D. Zig-zag

Please helpppp

Answers

Answer:

A. Diagonal line

Answer:

i think itsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

sssssssssssssssssssssssssssssss

ssssssssssssssssssssssssss

sssssssssssssssssssssssssssssss

hmmmmmm i dont know

Step-by-step explanation:

How to find the slope of a line passing through (-3,3) , (-5,9)

Answers

Answer:

slope = - 3

Step-by-step explanation:

[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}[/tex] , [tex][ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ][/tex]

[tex]slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3[/tex]

Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3

Answers

It would be y=x+3 because you have a slope of 1 and a y-intercept at 3

Answer:

i think it would be y=x+3

Step-by-step explanation:

Convert to polar form

Answers

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis

Answers

Step-by-step explanation:

x-14y=0

x=0/14y

x=14y

14y

The first equation crosses the x axis at x - 4 x 0 + 10 = 0 => x = -10

The second equation crosses the x axis at x + 4 x 0 - 10 = 0 => x = +10

Adding the equations together gives 2x = 0 => x = 0
0 + 4y - 10 = 0 => 4y = 10 => y = 2.5

The vertices of the triangle formed by the two lines and the x axis are (-10, 0) (10, 0) and (0, 2.5)

Which of the following is the equation of a line that passes though the points (2,5) and (4,3)

Answers

Answer:

y= -1x+7

y = -1x + b

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(2,5) and (4,3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.

Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

3 - 5

4 - 2

or...

-2

or...

m=-1

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,5). When x of the line is 2, y of the line must be 5.

(4,3). When x of the line is 4, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.

(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,5) and (4,3)

y=-1x+7

Find the odd one out, and explain why
26..325..226..49..50
a) 325
b) 226
c) 50
d) 49

Answers

Answer:

B.226

Step-by-step explanation:

I HOPE ITS HELP PO

CAN SOMEONE HELP THANKS 14 POINTS

Answers

Answer:

6,9,12

Step-by-step explanation:

A triangle cannot be considered a triangle unless the sum of the smaller two of the sides is greater than the larger side.

Answer:

(6, 9, 12)

Hope that this helps!

A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))

Answers

Answer:

1500 because if you mutiply by 35 u will get it

Step-by-step explanation:

Answer:

ratio of required answer

7×(:)5×

also given

=)5×=150×=¹⁵⁰=30

now putting the value of × in another give

Required mum

7x+5x

12x

2(30)=360

Step-by-step explanation:

HOPE IT'S HELP

Solve the system by substitution.
y = -5x
y= -7x – 14

Answers

Answer:

x = -7 y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

Which of the following describes point H?

Answers

X axis ; 3
Y axis ; -3

Your answer ; 3, -3

Math help due soon thanks

Answers

Answers:

SkippingSee the diagram belowx = 7No they are not similar

=======================================

Explanation:

SkippingWe peel the triangles apart as shown below. There's not much to say about it. The only thing I can think is that the larger horizontal side is 8+6 = 14 m.Due to the similar triangles, we can form the proportion x/4 = 14/8. The 14 is from 8+6. Cross multiplying leads to 8x = 56 which solves to x = 7.Focus on the triangle on the left. The missing angle is 180-95-35 = 50 degrees. The missing angle for the triangle on the right is 180-35-60 = 85 degrees. The angles don't all match up, so the triangles aren't similar.

Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.

Answers

You would need to know the rate at which Jeremy climbs to determine your answer.

Answer: no Jeremys time is not constraint

Step-by-step explanation: The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes, however if you divide 950 with 2 you will get 475 minutes to climb, if we also convert to 475 into hours that will be 7.92 hours . so overall he will climb extra 92 minutes (i really hope this kinda helped)

If Devon took 20 min to drive 24 km, what was his R.O.C.? Answer in decimals.

Answers

Answer:

1.2 km/min

Step-by-step explanation:

ROC? rate of change? if not rate of change than my answer may not be correct

24km/20min = 1.2 km/min

24km/20min * 60min/1 hr= (24*60)/20=120 km/hr

decide which point lies on the line that is parallel to AB and passes through point P

Answers

the answer is B because PG is parallel to AB

Which expression is the same as 1 ten, 3 ones, and 9 thousandths?
Choose 1 answer:

Answers

Answer:

"B"

Step-by-step explanation:

Find the trigonometric ratio. Write your answer as a fraction in the simplest form

Answers

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

= 12/13

hence, sin B= 12/13

Learn more about trigonometry here:

https://brainly.com/question/14746686

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You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*

1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.

Answers

2 add them all together and divide by 6 and you get 4.007

The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.

We know that, average = Sum of all the observations/Number of observations

Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6

= 24.042/6

= 4.007 ounces

Therefore, option 2 is the correct answer.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ3

What is the height of the tower? Round to the nearest tenth.
How tall is the tower?

Answers

Step-by-step explanation:

call the height of the tower x

we have tan30°=x:200 so we can find x

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