What is the value of x?

The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.

What Is The Value Of X?The Figure Shows 2 Right Triangles, Triangle R S T With Right Angle S And Triangle

Answers

Answer 1

Answer: 4

Step-by-step explanation:

What Is The Value Of X?The Figure Shows 2 Right Triangles, Triangle R S T With Right Angle S And Triangle
Answer 2

The length of QR(x) from the given figure is 4 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given figure, QR=x, RS=2√3 units and ∠STR=60°.

We know that, sinθ= Opposite/Hypotenuse

sin60°=2√3/RT

√3/2=2√3/RT

RT=4 units

As we know, tanθ= Opposite/Adjacent

tan45°= x/4

1= x/4

x=4 units

Therefore, the length of QR(x) from the given figure is 4 units.

Learn more about the trigonometric ratios here:

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Related Questions

what is 2 +2 { 25 points }

1. 22
2. 4

Answers

Answer:

4

Step-by-step explanation:

if you have 2 apples and you get 2 more apples how many do you have.

explain pls

...................................

Answers

Answer:

C. 9

Step-by-step explanation:

This is the answer because of how the math works...Its really hard to explain how it works.

True or false -if the measure of an acute angle is x then its completely angle is (90 - x)

Answers

Answer:

False

Step-by-step explanation:

The measure of an acute angle is less than 90°

a persons car traveled 60 miles in 45 minutes, how many miles per hour was it traveling?

Answers

To reach 60 miles in 45 minutes you’ll have to drive 80mph

An opaque bag contains three red, two blue, and four green
marbles. What is the probability of randomly pulling out a red
marble, replacing it, then randomly drawing another red
marble?

Answers

Answer:

1/9

Step-by-step explanation:

Probability of drawing 1st red marble

No. (red) / No. (total)3 / (3 + 2 + 4)3/91/3 - P(1)

Probability of drawing 2nd red marble

It states it is replacedNumber of red is same as the beginning and total number is sameP(2) = P(1)1/3 - P(2)

Probability

P(1) x P(2)1/3 x 1/3P = 1/9

t will be awarded for all answers
1.) A catering service is making up trays of hors​ d'oeuvres. The hors​ d'oeuvres are categorized as​ inexpensive, average, and expensive. If the client must select 2 of the 6 ​inexpensive, 5 of the 7 ​average, and 3 of the 5 expensive hors​ d'oeuvres, how many different choices are​ possible?

2.)A food company is testing 5 chocolate chip​ cookies, 4 ​crackers, and 7 ​reduced-fat cookies. If it plans to market 1 of the chocolate chip​ cookies, 1 of the​ crackers, and 4 of the​ reduced-fat cookies, how many different combinations are​ possible?

from the 8 male and 8 female sales representatives for an insurance​ company, a team of 3 men and 4 women will be selected to attend a national conference on insurance fraud.
In how many ways can the team of 7 be​ selected?

Answers

Using the combination formula, it is found that the number of possible outcomes are given by:

1. 3150

2. 700.

3. 3920.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Item 1:

We have combinations of 2 from 6, 5 from 7 and 3 from 5, all independent, hence we multiply them:

[tex]T = C_{6,2}C_{7,5}C_{5,3} = 15 \times 21 \times 10 = 3150[/tex]

3150 different choices are possible.

Item 2:

1 from 5, 1 from 4 and 4 from 7, hence:

[tex]T = C_{5,1}C_{4,1}C_{7,4} = 5 \times 4 \times 35 = 700[/tex]

700 different combinations are possible.

Item 3:

3 men from a set of 8, 4 women from a set of 8, hence:

[tex]T = C_{8,3}C_{8,4} = 56 \times 70 = 3920[/tex]

3920 ways to select the team of 7.

More can be learned about the combination formula at https://brainly.com/question/25821700

please answer this i need help :p

Answers

Since he packed 6 orders with 7 items each, you would need to multiply 7 × 6 to get your answer.

7 × 6 = 42

So, Gordon packed 42 more items in the afternoon.


Hope this helps :)

Fill in the missing numbers to complete the linear equation that gives the rule for this table.
X Y
5 -5
6 -6
7 -7
8 -8

Y=___x + ___

Answers

Answer:

y = -x +0

Step-by-step explanation:

y = mx + b

y= slope * x + y-intercept

To find slope, use any x and y pair from the table, for example (x= 5, y= -5)

slope = y/x = -5/5 = -1

y=  -x + b

To find b the y-intercept, substitute any x and y pair from the table, for example (x= 5, y= -5)

-5 = -5 +b

 b = 0

The linear equation that gives the rule for this table is

y = -x + 0 or just y = -x

2) What type of equation is compound interest formula?
a)logarithmic
b)polynomial
c)exponential
d)linear
e) none of the choices

Answers

A compound interest formula is a type of exponential equation. That is option C

What are exponential equations?

Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.

The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.

Therefore, a compound interest formula is a type of exponential equation.

Learn more about exponential equations here:

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Help pleaseeee
Which combination of three-dimensional shapes could be used to best model the table shown below?
A. 6 rectangular prisms and 1 cube
B. 4 right triangular prisms and 1 cube
C. 2 rectangular prisms and 2 right triangular prisms
D. 3 right triangular prisms and 2 rectangular prisms

Answers

Answer:

There are two rectangular prisms and two right triangular prisms

Step-by-step explanation:

The two right-angle triangular prisms can be found on the right and left. One rectangular prism can be found in the middle between those two triangular prims, and the other can be found at the top. Voila.

Write an expression which can
be used to describe the area in
square units of a rectangle that
has a length of 5x3y5z2 units
and a width of 3x2yz4 units.

Answers

Answer:

15x^2 6y^2 5z^6

Step-by-step explanation:

area = length x width

area =  5x3y5z^2   *   3x2yz^4

The school is planning to add a vegetable garden. The length of the garden is 13 feet. The width of garden is 9 feet. What is the perimeter of the garden?

I NEED THIS NOW

Answers

Answer:

44

Step-by-step explanation:

double both 13 and 9 then add the awnser together to get 44

Matthew is at the beach with is family, Housing a rectangular prism shaped container to mold sand for his sandcastle. The container has the following dimensions. 12 in. by in. by in.
a)Matthew noticed that the container was one fourth full of sand. How many more cubic inches of sand would be required to fill the container ? Show your work.
b) Matthew's father has a container that has dimensions that are each double the dimensions of Mathew's container.Matthew thought that the volume would be also double. Is Matthews correct? How many times greater is the volume of the larger container the the volume of the smaller one? Show your work and explain the reasoning. Can someone help ? thanks

Answers

When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.

How to calculate the volume?

The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:

= 12 × 8 × 6

= 576 inches.

Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:

= 576 - (1/4 × 576)

= 576 - 144

= 432 inches³.

Learn more about volume on:

https://brainly.com/question/12410983

TIMED PLEASE HELP!
Determine the equation of the line for the given information: Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2

Answers

Answer:

"Answer: A. m=2;y-int=(0,4);y=2x+4

Step-by-step explanation: I just finished the practice on edge and went back to check the answer. It's 100% correct, swear"

Step-by-step explanation:

Found this on Brainly, hope it helps? :)

The sum of three consecutive number is forty two what are the numbers

Answers

Answer:

Thus, 12+14+16=42.

Step-by-step explanation:

Hope this helps.

Robert wants to make a small batch of japchae. He needs
4 1/6 oz of noodles. His scale shows he has 4.18 oz of noodles. Does Robert have enough noodles? How do you know?

Answers

Comparing the measurement needed for the batch and the measurement of the scale, Robert does not have enough noodles.

What are fractions and decimals?

A fraction is a non-integer. It is made up of numerators and denominators. A decimal is a non-integer where the integers are differeniated from a non-integer by a decimal point.

Does Robert have enough noodles?

In order to determine the answer, convert the fraction to a decimal by dividing the numerator by the denominator.

4 1/6 = 4. 17

To learn more about fractions, please check: brainly.com/question/1114498

What type of sequence is shown: 120, 12, 1.2, 0.12

Answers

Answer: divide by 10

Step-by-step explanation: you divide the previous number by 10 to get the next number

i dont get this please help

Answers

Step-by-step explanation:

the side lengths of the base (the ground triangle) are equal. that means every ground side length is 8 in.

and that also makes the 3 triangles of the side areas of the pyramid equal.

so, for the surface area of the pyramid we need to calculate the area of one side area triangle, multiply it by 3 (as we have 3 side areas) and add the area of the ground triangle.

the area of a triangle is

baseline × height / 2

so, for a side area triangle we get

8 × 14 / 2 = 8×7 = 56 in²

all 3 side areas together are then

3×56 = 168 in²

the ground area triangle is then

8 × 6.9 / 2 = 4 × 6.9 = 27.6 in²

so, the total surface area of the pyramid is

168 + 27.6 = 195.6 in²

Which equation represents a line with a slope of -4

Answers

Answer:

y= -4x

Step-by-step explanation:

it will be more helpful to answer this question if the equations were provided.

Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y

= 9? Explain your answer.

Answers

Answer:

Perpendicular

Step-by-step explanation:

Simplify 3x+9y=9 to 9y=-3x+9 and then to y=-1/3x+1

y=3x-7

and

y=-1/3x+1, 3 and -1/3 are negative reciprocals which makes these equations perpendicular.

the perimeter of a regular triangle is 81cm. what is the length of one side​

Answers

Answer:

27 cm.

Step-by-step explanation:

As there are 3 sides in a triangle and this is regular , the length of one side

= 81/3

= 27 cm

my sis needs help asap

Answers

Answer:

B. 7

Step-by-step explanation:

7 × n = 42 + 7

7n = 49

n = 49/7

n = 7

______

Hope it helps ⚜

given:

[tex]7 \times n = 42 + 7[/tex]

to find:

what the "n" represents

solution:

[tex]7 \times n = 42 + 7[/tex]

[tex]7 \times n = 49[/tex]

[tex]n = \frac{49}{7} [/tex]

[tex]n = 7[/tex]

therefore, "n" represents 7.

answer= option B

What is 5/21 expressed as a decimal?


0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

0.238095⎯⎯⎯⎯⎯⎯

0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

0.238095

Answers

5/21 expressed as a decimal is D 0.238095

Plot the vertices (-2, -8), (-2, 2), and (8,2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units

Answers

Check the picture below.

write A number in each box that would create an equation that has an infinite number of solutions

4(3x+6)-x=_____x+_____

Answers

4(3x+6)-x=12x+24-x
Hope I helped!

[tex]\huge\text{Hey there!}[/tex]

[tex]\\\large\text{ORIGINAL EQUATION: }\\\mathsf{4(3x + 6) - x}\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\mathsf{\rightarrow 4(3x) + 4(6) - x}\\\mathsf{\rightarrow 12x + 24 - x}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow 12x + 24 - 1x}\\\mathsf{\rightarrow 11x + 24}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{11\bold{x} + 24}}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

WILL GIVE 30 POINTS AND BRAINLIEST PLS HELP


Answers

Answer:

b

Step-by-step explanation:

This a very difficult question but im pretty sure its b

A
The sides of the triangle are 5 (4^+3^2= 25, square root it to find the hypotenuse and you get 5)
In total it adds to 46

write a linear equation in slope-intercept form. m=-3 and contains (0,2)

Answers

Answer:

y=-3x-2

Solution:We have a point that the line passes through and its slope.Since the point has an x-coordinate of 0, this point is the line's y-intercept (2)Slope-intercept form: y=mx+bm -> slopeb -> y-interceptPlug in the values:y=-3x-2

Hope it helps.

Do comment if you have any query.

Answer:

[tex]\Longrightarrow: \boxed{\sf{y=-3x+2}}[/tex]

Step-by-step explanation:

The slope-intercept form is used to write linear equations.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

The slope is -3.

The y-intercept is 2.

(0,2)x1=0y1=2

y=-3x+2

Therefore, the slope-intercept form is y=-3x+2, which is our answer.

I hope this helps! Let me know if you have any questions.

Find constants a and b such that = (axy + z3) i + (3x2 – z)j+-y)k is irrotational. Also find a scalar function Φ such that = Φ.​

Answers

Thanks for the update. "Irrotational" means curl = zero, so we compute the curl, set it equal to zero, and solve for the constants.

[tex]\vec f(x,y,z) = (axy+z^3) \, \vec\imath + (3x^2-z) \, \vec\jmath + (bz^2-y) \, \vec k[/tex]

[tex]\nabla \times \vec f(x,y,z) = \left(\dfrac{\partial(bz^2-y)}{\partial y} - \dfrac{\partial(3x^2-z)}{\partial z}\right) \, \vec\imath - \left(\dfrac{\partial(bz^2-y)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3x^2-z)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial y}\right) \, \vec k[/tex]

[tex]\nabla \times \vec f(x,y,z) = 3z^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]

At this point, all we can conclude is that a = 6 to make the k-component vanish. Unfortunately there's no zeroing out the j-component, so the field as given is *not* irrotational.

As I mentioned in comments, if the i-component had instead been [tex]axy+bz^3[/tex], we would have ended up with

[tex]\nabla \times \vec f(x,y,z) = 3bz^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]

in which case we would have b = 0.

I'll continue working with this "fixed" field to find Φ, if only to give you an idea of how to proceed. We want a scalar function Φ(x, y, z) such that the given vector field is the gradient of f. This would entail solving the partial differential equations,

[tex]\dfrac{\partial\Phi}{\partial x} = axy+bz^3 = 6xy[/tex]

[tex]\dfrac{\partial\Phi}{\partial y} = 3x^2 - z[/tex]

[tex]\dfrac{\partial\Phi}{\partial z} = bz^2-y = -y[/tex]

Let's start with the last equation. Integrating both sides with respect to z yields

[tex]\Phi(x,y,z) = \displaystyle \int (-y) \, dz = -yz + g(x,y)[/tex]

Now differentiate both sides with respect to y :

[tex]\dfrac{\partial\Phi}{\partial y} = -z + \dfrac{\partial g}{\partial y} = 3x^2 - z \implies \dfrac{\partial g}{\partial y} = 3x^2[/tex]

Integrate both sides of the latter PDE with respect to y to solve for g :

[tex]g(x,y) = \displaystyle \int 3x^2 \, dy = 3x^2y + h(x)[/tex]

Now we differentiate Φ with respect to x :

[tex]\Phi(x,y,z) = -yz + 3x^2y + h(x) \\\\ \dfrac{\partial\Phi}{\partial x} = 6xy + \dfrac{dh}{dx} = 6xy \implies \dfrac{dh}{dx} = 0[/tex]

Integrate to solve for h :

[tex]h(x) = \displaystyle \int 0 \, dx = C[/tex]

where C is an arbitrary constant.

So the scalar function whose gradient is our "fixed" field f is

[tex]\Phi(x,y,z) = -yz + 3x^2y + C[/tex]

Two of the biggest disadvantages of the corporate form of business are government regulation and corporate

Answers

One of the biggest downsides for businesses (besides government regulation) is taxes.

What are taxes?

The tax is a term to refer to a tribute that must be paid by an individual or group of people associated with a state without direct consideration.

How do taxes affect businesses?

Taxes affect companies because the state establishes some special taxes for companies to export or import their products. In some cases, they are also assigned a tax for receiving large amounts of money as profit for their services.

Learn more about taxes in: https://brainly.com/question/1362871

Answer:taxes

Step-by-step explanation:

Here is the question

Answers

The value that would be obtained using the 5 midpoint rectangles of equal width to estimate the given Integral is; 33/100

How to partition integral?

First of all, let us partition the interval [0, 1] as;

[0, 1/5] ∪ [1/5, 2/5] ∪ [2/5, 3/5] ∪ [3/5, 4/5] ∪ [4/5, 5]

Thus, the midpoints of the intervals which are the sample points are, respectively;

1/10, 3/10, 1/2, 7/10, 9/10

The integral is approximated by;

(0,1)∫x² dx = (5, n=1)Σf(x_n) Δx

where Δx is the difference between the partition endpoints, i.e.

Δx = (1 - 0)/5 = 1/5

and x_n is the midpoint of the nth partition.

Thus, we have;

(5, n=1)Σf(x_n) Δx = (1/5)[(1/10)² + (3/10)² + (1/2)² + (7/10)² + (9/10)²] = 33/100

Read more about integral partition at; https://brainly.com/question/9043837

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