If you're good at trigonometry please help meeee

On a 30-60 set square, the side opposite the 60 degree angle is 80mm long. Find the length of the longest side to the nearest millimetre

If You're Good At Trigonometry Please Help MeeeeOn A 30-60 Set Square, The Side Opposite The 60 Degree

Answers

Answer 1

Answer:

[tex]\boxed{92 \: \mathrm{mm}}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (60) = [tex]\frac{80}{x}[/tex]

x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]

x = 92.37604307...

x ≈ 92

Answer 2

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92


Related Questions

If your good in math pls help me I’m not that great and I’m ineed of help !

Answers

Answer:

The base is 2

Step-by-step explanation:

Exponents or powers are on top of the base.

[tex]2^x[/tex]

x is the exponent and the base is 2.

I agree with the other person
1+5=6

Please help me on this answer, I am very confused and don't know the correct steps to take. Solve

Answers

Answer:

102

Step-by-step explanation:

Since 2 + 8 = 10, then the cube root of 5x+2 = 8

Since 8×8×8=512, then 5x+2=512

5x=510, so x=102

Answer:

C) 102

Step-by-step explanation:

Hello !

2 + ∛(5x + 2) = 10

∛(5x + 2) = 10 - 2

∛(5x + 2) = 8

(∛(5x + 2))³ = 8³

5x + 2 = 512

5x = 512 - 2

5x = 510

x = 510 : 5

x = 102

Good luck !

why is the site not working i am clicking see answers and nothing pops up is this only happening to me?

Answers

Answer:same here

Step-by-step explanation:

15 POINTS!!!!! How is a linear function affected when a constant is multiplied by y?

Answers

Answer:

a constant multiplied by y can affect the linear, because it determines a dependent variables.

Step-by-step explanation:

a linear relationship is a statistical term used to described a straight line relationship between two variables.

Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the
solution set on a number line.
4m + 24.25 < 34.25

Answers

Answer:

126

4m + 24.25 < 34.25

Answer:

Idek I just need points

Step-by-step explanation:

Umm

What are the remaining angle measures if the figure is
to be a parallelogram?
mZB=
mZC=
m2D =

Answers

Answer:

The answer is given below

Step-by-step explanation:

Given that the parallelogram ABCD has m∠A = 79°

A parallelogram is a quadrilateral with two pairs of parallel lines. For a parallelogram, opposite sides of a parallelogram is equal and opposite angles are also equal. Also the diagonal of a quadrilateral bisect each other.

m∠C = m∠A = 79° (opposite angles of a parallelogram are congruent)

m∠C = 79°

m∠B +  m∠A = 180° (consecutive angles of a parallelogram are supplementary)

m∠B + 79 = 180

m∠B = 180 - 79

m∠B = 101°

m∠B = m∠D = 101° (opposite angles of a parallelogram are congruent)

m∠D = 101°

what is 3^3/2 equal to?

Answers

Answer:

D. 2^3/2

Explanation:

3 3/2

= ²√3³

= ²√27

Hope this helped! :D

Answer:

The answer is D  

Step-by-step explanation:

hope this helps ^_^

3. What is the degree of the polynomial 3x^4 + 2x^2 + 5x? *

Answers

Answer:

the degree of that polynomial is 4

The function shown in the graph is A) f(x) = x - 1 B) f(x) = 2x - 1 C) f(x) = x - 0.5 D) f(x) = 2x - 0.5

Answers

Answer:

B

Step-by-step explanation:

B because the y-intercept is (0,-1) and another point is (5,9). Using the slope formula, 10/5=2 so the right equation is B.

WILL GIVE BRAINLIEST George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet. How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet

Answers

Answer:

b68

Step-by-step explanation:

Answer:

68 FEET

Step-by-step explanation:

B pls give me brainliest

HELP PLZ I AM BEING TIMED!!!
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS IN 2 MINUTES!!
Which describes how square S could be transformed to square S prime in two steps? Assume that the center of dilation is the origin. On a coordinate plane, square S has points (0, 0), (5, 0), (5, negative 5), (0, negative 5). Square S prime has points (0, 1), (0, 3), (2, 3), (2, 1). a dilation by a scale factor of Two-fifths and then a translation of 3 units up a dilation by a scale factor of Two-fifths and then a reflection across the x-axis a dilation by a scale factor of Five-halves and then a translation of 3 units up a dilation by a scale factor of Five-halves and then a reflection across the x-axis

Answers

Answer:

Option A.

Step-by-step explanation:

The vertices of square S are (0,0), (5,0), (5,-5) and (0,-5).

The vertices of square S' are (0,1), (0,3), (2,3) and (2,1).

It is given that center of dilation is (0,0). From the point it is clear that the distance between point of S and origin is greater that S'. It means the scale factor is less than 1.

If scale factor is 2/5, then

[tex](x,y)\to (\dfrac{2}{5}x,\dfrac{2}{5}y)[/tex]

[tex](0,0)\to (\dfrac{2}{5}(0),\dfrac{2}{5}(0))=(0,0)[/tex]

[tex](5,0)\to (\dfrac{2}{5}(5),\dfrac{2}{5}(0))=(2,0)[/tex]

[tex](5,-5)\to (\dfrac{2}{5}(5),\dfrac{2}{5}(-5))=(2,-2)[/tex]

[tex](0,-5)\to (\dfrac{2}{5}(0),\dfrac{2}{5}(-5))=(0,-2)[/tex]

If the figure translated 3 units up, then

[tex](x,y)\to (x,y+3)[/tex]

[tex](0,0)\to (0,0+3)=(0,3)[/tex]

[tex](2,0)\to (2,0+3)=(2,3)[/tex]

[tex](2,-2)\to (2,-2+3)=(2,1)[/tex]

[tex](0,-2)\to (0,-2+3)=(0,1)[/tex]

These are the vertices of square S'.

A dilation by a scale factor of two-fifths and then a translation of 3 units up are used to get square S' from S.

Therefore, the correct option is A.

FIRST RIGHT ANSWER GETS BRAINLLEST If you spin the spinner below 20 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 18 times B) Lands on red 6 times C) Lands on yellow 4 times D) Lands on blue 4 times

Answers

Answer:

B) Lands on red 6 times

C) Lands on yellow 4 times

Step-by-step explanation:

The rest are way too much/too little for their predicted probability.

Answer:

B C

Step-by-step explanation:

If u spin the spinner below 20 times it will land on red around 4 times.

6 is only 2 greater than 4 so it works.

Same thing with yellow.

Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A. 5 B. 6 C. 8 D. 9 E. 10

Answers

Answer:

A. 5

Step-by-step explanation:

6d+15<50

subtract 15 from both sides

6d<50-15

6d<35

divide both sides by 6

d<35/6

d<5 5/6

So he can only rent it for 5 days.  If he rented for 6, it would be $51, which is too much.

Solving the given inequality for d, we get...

6d + 15 < 50

6d + 15-15 < 50-15 <<-- subtract 15 from both sides

6d < 35

6d/6 < 35/6 <<--- divide both sides by 6

d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all

The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days

Any larger value of d is not allowed as it would make the total cost go over $50

Notice how I'm rounding down regardless how close 5.83 is to 6

Which of the following is a valid reason why the quadrilateral shown below is
a parallelogram?
A. Both pairs of opposite sides are parallel.
B. The diagonals bisect each other.
C. The diagonals are congruent.
D. Both pairs of opposite sides are congruent.

Answers

The diagonals bisect eachother

A parallelogram is a quadrilateral with two pairs of parallel sides.

Option A is the correct answer.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram is a quadrilateral with two pairs of parallel sides.

So, option A is a valid reason for the given quadrilateral to be a parallelogram.

The other options do not necessarily hold true for all parallelograms. For example, the diagonals of a parallelogram bisect each other and are congruent, but not all quadrilaterals with bisecting diagonals are parallelograms.

Similarly, not all parallelograms have congruent diagonals or congruent opposite sides.

Thus,

A parallelogram is a quadrilateral with two pairs of parallel sides.

Learn more about parallelograms here:

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Which of the following equations demonstrate that the set of polynomials is
not closed under the certain operations?
IN
O A. Division: (x2-5x+3) =(x- 2) = x- 3+
X-2
B. Subtraction: 8x* + x*)-(-2x + x) = 5x
O C. Addition: (x2 + x) + (x + 1) = x2 + 2x+1
D. Multiplication: (x2 - 5x+3)(x-5)= x - 10x2 +28x - 15​

Answers

Answer:

A. Division: (x2-5x+3) =(x- 2) = x- 3+

X-2

Step-by-step explanation:

A. Division: (x2-5x+3) =(x- 2) = x- 3+  -3/X-2

This is not a polynomial since we have an x in the denominator

What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac

Answers

Answer:

The answer is 16.

Step-by-step explanation:

First, you have to make the equation into 0 by moving all the terms to one side :

[tex] - 3 = - {x}^{2} + 2x[/tex]

[tex] {x}^{2} - 2x - 3 = 0[/tex]

Next, you have to apply Discriminant Law, D = b² - 4ac :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: a = 1 \: , \: b = - 2 \: , \: c = - 3[/tex]

[tex]D = {( - 2)}^{2} - 4(1)( - 3)[/tex]

[tex]D = 4 + 12[/tex]

[tex]D = 16[/tex]

Please help me with this question! I will give the brainliest to the one with the right answer!!!

Answers

Answer:

x =4

Step-by-step explanation:

hope this is the correct answer

Answer: B

Step-by-step explanation:  B: 5^2-3^2 = 25-9 = 16. the square root of 16 is 4, so x=4

Solve the system using elimination 7x+2y=10 -7x+y=-16

Answers

Answer:

x=2, y=-2

Step-by-step explanation:

7x+2y=10

-7x+y=-16

-------------------

0x + 3y = -6

Divide each side

3y/3 = -6/3

y = -2

Now find x

7x +2y = 10

7x + 2( -2) = 10

7x -4 = 10

Add 4 to each side

7x -4+4 = 10+4

7x= 14

Divide by 7

7x/7 = 14/7

x = 2

7x + 2y = 10-7x + y = -16

Since one equation has a 7x and and the other equation has a -7x,

when we add the equations together, the x's will cancel out.

So we have 3y = -6 and y = -2.

To find x, plug -2 back in for y in either of the two original equations.

I've chosen to plug -2 into the first equation to get 7x + 2(-2) = 10.

Solving from here, x = 2.

So our final answer is the ordered pair (2, -2).

Now, check your answer.

Hi. Please i need help with this question .
workings please
Find the perimeter of the diagram.
a. 41cm
b. 38cm
c. 37cm
d.35cm
e. 32cm

Answers

Answer:

b. 38 cm.

Step-by-step explanation:

Note that the 2 sides  which are unmarked are the opposite sides of 2 rectangles so they are both  = 2 cm.

Now we  just add all the given sides.

Starting with 6 on the top and travelling clockwise:

Perimeter = 6 + 2 + 2 + 3 + 3 + 2 + 7 + 2 + 3 + 3 + 3 + 2

=  38 cm.

Perimeter is basically adding all of the sides so you have to add; 6 + 2 + 3 + 2 + 3 + 3 +3 + 3 + 7 + 2 + 2 + 2= 38 .

38 is the perimeter.

thanks for helping me out y’all if anyone of y’all play roblox mine is ( colIapsinq ) the second L is a capital ( i )

Answers

Answer:

1. 5

2. 6

3. 8

4. 200

Step-by-step explanation:

I said the answer already

first 5

next 6

then 8

lastly 200 my accounts (try both of them) king1ev15 and/or king1ev151


PLEASE HELP! 20 POINTS! Rewrite x2 - 8x + 13 = 0 in the form (X - a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a = 2 and b = 1
a = 1 and b = 4

Answers

Answer:

a =4 and b= 3

Step-by-step explanation:

Given: Circumscribed △XYZ XY=7, YZ=8. ZX=5 Find: AX, BY, CZ

Answers

Answer:

AX=2 BY=5 CZ=3

Step-by-step explanation:

Lets call AX (x). Once you do so, one can tell that AZ=5-x. CZ is also 5-x. BX is also x. Therefore you can say that BY=7-x which makes CY 7-x. Now for side YZ, CZ is 5-x and CY is 7-x.

5-x+7-x=8

solving that you get x=2

AX=2

BY=7-x=5

CZ=5-x=3

Hope this explains some more than the other answer. Please ask any questions.

The stem-and-leaf plot shows the number of points scored by the Bears in each of their basketball games this season. Identify the mean and median, as
well as how many games they scored at least 30 points. Round to nearest tenth for any calculations.
STEM
LEAF
1
89
2
02336889
3
01 4 4 5 6 8 9
4
012
113
8 = 18 points

Answers

Answer:

Mean = 30.3

Median = 30

They scored 30 or more points on 11 games.

Step-by-step explanation:

Mean = all the numbers added together divided by 21

636/21 = 30.3

Median is the middle number (the 11th) = 30

Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.

Answers

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

Which expression is equivalent to *picture attached*

Answers

Answer:

The correct option is;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex]

Step-by-step explanation:

The given expression is presented as follows;

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )[/tex]

Which can be expanded into the following form;

[tex]\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n[/tex]

From which we have;

[tex]\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}[/tex]

Therefore, substituting the value of n = 50 we have;

[tex]\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}[/tex]

Which gives;

[tex]4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}[/tex]

[tex]3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}[/tex]

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}[/tex]

Therefore, we have;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex].

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Answers

Answer: Triangle with the three corner points at (0, 0)(4, -8)(-8, -8)

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

Explanation:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2

A = (0,0) becomes A' = (0,0). No change happens. This point is fixed

B = (2,-4) becomes B' = (4,-8). This point does move

C = (-4,-4) becomes C' = (-8,-8). This moves as well

So all you need to do from here is draw triangle A'B'C'.

-----------------

Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.

Triangle with the three corner points at

A' = (0,0). B' = (4,-8). C' = (-8,-8). what is Dilation?

Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image with the same shape as the original.

Given:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2

A = (0,0) --> A' = (0,0).

B = (2,-4) --> B' = (4,-8).

C = (-4,-4) --> C' = (-8,-8).

Learn more about Dilation here:

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in a group of people for every 20 people 7 of them have blue eyes a) write the ratio of the number of people with blue eyes to the total of people in fraction form b) if there are 100 total people how many how many of them have blue eye? explain how u found your answer

Answers

Answer:

a) 7 : 20

b)There will be 35 people with blue eye

Step-by-step explanation:

a)

This question is asking you the ratio of the number of people with blue eyes to the total number of people.

So seven people with blue eyes to the total number of 20 people.

7 : 20

b)

you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.

so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.

so then you use 5 times 7, then you got the number 35.

That means, there are 35 people with blue eyes in 100 people.

Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?

Answers

Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

Which is a factor of x2 + 5x − 24?

Answers

Answer:

(x−3)(x+8)

Step-by-step explanation:

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

the factor is x-3 x+8 at

Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values. 3x^2 + kx - 8 Thanks anyone for help :)))

Answers

Answer: The answer is (-1/6, -k/6- 95/12)

Step-by-step explanation:

I copy and and pasted the question on to an online calculator because mathmatics is not my strongsuit.

The values of k for the quadratic equation 3x² +  kx -8 are (-∞, ∞).

Given Quadratic equation: 3x² +  kx -8.

The quadratic expression can be factored into two binomials if it has two real roots.

Discriminant

When b² - 4ac > 0, two real roots.

When b² - 4ac =  0, one real roots.

When b² - 4ac < 0, no real roots.

So, k² - 4(3)(-8) ≥ 0

k² + 96 ≥ 0

k² ≥ - 96

This is true for any value of k and k ∈ (- ∞, + ∞).

Therefore, the values of k are (-∞, ∞).

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