Match the variable to its correct length please

Match The Variable To Its Correct Length Please

Answers

Answer 1
Answer:

[tex]x=10[/tex]

[tex]y=20[/tex]

Step-by-step explanation:

Note:

(sin, cos, tan) Formulas:

[tex]sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

To find the value of [tex]x[/tex]

1) Using [tex]tan[/tex] formula

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

[tex]tan(60°)=\dfrac{10\sqrt{3}}{x}[/tex]

2) Multiply both sides by [tex]x[/tex]

[tex]xtan(60°)=\dfrac{10\sqrt{3}}{x}\times x[/tex]

[tex]xtan(60°)=10\sqrt{3}[/tex]

3) Divide both side by [tex]tan(60°)[/tex]

[tex]\dfrac{xtan(60°)}{tan(60°)}=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

4) Calculate

[tex]x=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

[tex]x=10[/tex]

To find the value of [tex]y[/tex]

1) Using [tex]cos[/tex] formula

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos(60°)=\dfrac{10}{y}[/tex]

2) Multiply both sides by [tex]y[/tex]

[tex]ycos(60°)=\dfrac{10}{y}\times y[/tex]

[tex]ycos(60°)=10[/tex]

3) Divide both side by [tex]cos(60°)[/tex]

[tex]\dfrac{ycos(60°)}{cos(60°)}=\dfrac{10}{cos(60°)}[/tex]

4) Calculate

[tex]y=\dfrac{10}{cos(60°)}[/tex]

[tex]y=20[/tex]


Related Questions

is the equation y=1/7x an example of direct variation

Answers

Answer:

no

Step-by-step explanation:

k=1(constant)

y varies inversely with x

Simplify the expression

Answers

Step-by-step explanation:

[tex] \frac{ \cos(x) }{1 + \sin(x) } + \frac{ \cos(x) }{1 - \sin(x) } [/tex]

[tex] \frac{ \cos(x)(1 - \sin(x) + \cos(x) (1 + \sin(x)) }{1 + \sin(x))(1 - \sin(x) ) } [/tex]

[tex] \frac{ \cos(x) - \cos(x) \sin(x) + \cos(x) + \cos(x) \sin(x) }{1 - \sin {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos(x) \cos(x) } [/tex]

[tex] \frac{2}{ \cos(x) } [/tex]

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?

Answers

Answer:

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)

How many different sweatshirt designs are possible?

Step-by-step explanation:

It's 4320

direction. The number b varies directly with the number a. For example b = 2 when a = -2
-2. Which equation
=
4
represents this direct variation between a and b?
b = -a
-b = -a
ОООС
b-a= 0
b(-a) = 0

Answers

Answer:

b = - a

Step-by-step explanation:

given b varies directly with a then the equation relating them is

b = ka ← k is the constant of variation

to find k use the condition b = 2 when a = - 2 , then

2 = - 2k ( divide both sides by - 2 )

- 1 = k

then

b = - a ← equation of variation

Work out the length of x

Give your answer rounded to 1 decimal place.
(diagram not drawn accurately

Answers

Answer:

7.3 cm

Explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert values:

x² + 8.9² = 11.5²

x² + 79.21 = 132.25

x² = 132.25 - 79.21    (subtract)

x² = 53.04

x = √53.04                (square root)

x = 7.28285 ≈ 7.3     (rounded to 1 decimal place)

given:

11.5 cm

8.9 cm

to find:

the unknown value "x"

solution:

we'll have to use pythagoras theorem.

unknown value is x

[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]

[tex] {x}^{2} = {11.5 }^{2} - {8.9}^{2} [/tex]

[tex] {x}^{2} = 53.04[/tex]

[tex]x = \sqrt{53.04} [/tex]

[tex]x = 7.282856582[/tex]

[tex]x = 7.3 \: cm[/tex]

What is the equation of the line that passes through the point (4,7) and has an
undefined slope?

Answers

Answer:

Step-by-step explanation:

use the point slope formula  

y - y1 = m(x -x1)

where "m" is an undefined slope

and plug in the given point   (4,7)  it's form is  (x1,y1)

y-7 = m(x - 4)

y = m(x - 4 )  + 7

Simplify Negative 3 over 2 divided by 9 over 6.

−4
−1
4
1

Answers

BEST ANSWER :

(( -3/2 ) 9 ) / 6.

= -0.02777777777

Please help! Ill give brainliest to best answer!

Answers

Answer:

(3, 6)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 3, and where y is the y-axis value, in this case 6.

would it be point (3,6) ?

please help! click to see the picture

Answers

Answer:
Inequality 7n - 22 >= 64
Solution   7n > = 64 + 22
                7n >= 86
                  n => 12. 28 rounded down to 12
                     Grace must wash at last 12 cars

find the value using x

Answers

Answer:  8

Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

HELPPPP MEEEEE!!!!!!!

Answers

Answer:

Rounded:

596.05

OR

596.046

Raw:

596.046447754

Step-by-step explanation:

Solved with sci calculator

what’s the answer to this problem , figure out the area and perimeter of this triangle please and thank you

Answers

Answer:

P=2.66m

A=.3318m

Step-by-step explanation:

P=1.0+.79+.87

A=.79 * .84

Find an angle
x where sin x = COS x.

Answers

Answer:

[tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

Step-by-step explanation:

If [tex]cos\ x = 0 \rightarrow sin\ x = \pm1[/tex], which is obviously not a solution. At this point we can divide both sides by [tex]cos\ x[/tex] to get

[tex]\frac {sin\ x}{cos\ x} = 1 \rightarrow tan\ x = 1[/tex]

which has solutions [tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ

A. T Cells

B. Phagocytes

C. Antibodies

D. Lymphocytes

Answers

Answer:

Answer is D.

Lymphocytes.

Explanation.

How Does the Immune System Work? When the body senses foreign substances (called antigens), the immune system works to recognize the antigens and get rid of them. B lymphocytes are triggered to make antibodies (also called immunoglobulins). These proteins lock onto specific antigens.

Please Vote Me Brainliest. Thank You.

Consider the parallelogram below.
Find the value of y.
Enter each line of work as an equation.

Answers

Answer: 10

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]

95. In your own words, define a parabola.

Answers

Answer:

The definition of a parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side. A u-shaped graph of a quadratic function is an example of a parabola.

Step-by-step explanation:

hope this helps

have a good day<3

Please help me find the area of compound shapes?!??!

Answers

Answer:

27cm²

Step-by-step explanation:

Chop the irregular shape into two rectangles!

(I divided by the inner corner next to the 5cm mark across to the side with no label at all on the left)

6x2=12 (longer rectangle)

5x3=15 (shorter rectangle)

12+15=27cm²

I hope this helps! :)

Luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18
inches long in the drawing. what is the scale of the drawing?

Answers

Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

identify b on the following diagram not really important but 8 would love for someone to help me​

Answers

Answer: A origin

Step-by-step explanation:

help me please please

Answers

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

The diameter of a circle is 26 millimeters. What is the circle's circumference?

Answers

Step-by-step explanation: the answer for this question should be 81.64 because to find the circumference you need to know the circumference formulas which is  C=TT times d or          C= 2 times TT times r.

C= 3.14 times 26          C= 2 times 3.14 times 13

                                       C= 81.64

C= 81.64

so the answer is 81.64 for the circle's circumference so hopefully that is the correct answer and have a great day

                       

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             The diameter of a circle is 26 mm. Find its circumference.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

C=81.7mm

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

[tex]\implies{\sf{Circumference \:of \:a \:circle:\bigstar\:\:\:C=\pi d}}}[/tex]

Where:

C=Circumference

π=pi

d=diameter

Provided information:

d=26 mm

Plug in the values:

[tex]\bf{C=26\pi }[/tex]

Multiply & round:

[tex]\bf{C=81.7mm}[/tex]

Good luck.

         

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

100 POINTS!! ANSWER CORRECT
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.

Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D

Answers

Answer:

City B

Step-by-step explanation:

Because it is the only one that makes sense.

i think the answer is b

Suppose that a good has an income elasticity of demand of -2. 0. This means that the good is

Answers

The good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

What are the characteristics of inferior goods?

An inferior good occurs when an increase in income causes a fall in demand.

An inferior good has a negative income elasticity of demand. (YED) Inferior goods are characterized by low quality – and are goods with better alternatives.

Suppose that good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

An inferior good is one whose demand drops when people's incomes rise. When incomes are low or the economy contracts, inferior goods become a more affordable substitute for more expensive goods.

Inferior goods are the opposite of normal goods, whose demand increases even when incomes increase.

Hence, the good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

Learn more about inferior goods here;

https://brainly.com/question/2410015

#SPJ4

The population of lizards on one island is 4.05 million, and the population of lizards on another island is 2.1 million. What is the difference in the population of lizards on two islands

Answers

Step-by-step explanation:

the difference found is 4049997.9

Answer:

hi

Step-by-step explanation:

does somebody know how to do this??​

Answers

Answer:

95

Step-by-step explanation:

65+66+90+95=316

316/4=79

Solve for x.
Your answer must be simplified.

Answers

X is x who doesn't know that

Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?

Answers

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Calculation of the number of elk:

Since the population is 6,750.

The random sample is 50.

So here be like

[tex]6750[/tex] ÷ [tex]50[/tex] × [tex]9[/tex]

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Learn more about sample here: https://brainly.com/question/24292263

HELP!!!

Given the relation: {(1,2),(2,3),(-1,3),(2,5)}
Determine what two points cause the relation to not be a function? Explain why these points cause the relation to not be a function.

Answers

Answer:  (2,3) and (2,5) cause the relation to not be a function

Explanation:

The input x = 2 leads to y = 3 and y = 5 at the same time for both points. A function is where any input x leads to exactly one y output only. So we'd need to get rid of one of those mentioned points to be able to have a function.

If you graphed the points on the same xy grid, then you'd see (2,3) and (2,5) vertically aligned. These two points cause the vertical line test to fail. This will give a visual indication we do not have a function.

Put another way, if x repeats itself then we don't have a function. The y value is allowed to repeat. So we could have something like (1,2) and (5,2) be part of a function.

The following sequence is an arithmetic sequence. [-9, -2, 5, 12,...]
Find the common difference and the next two terms.

Answers

Answer: The common difference is 7, and the next two terms are 19 and 26.

Step-by-step explanation:

Between -9 and -2 there is +7, same with between -2 and 5, as well as 5 and 12. Adding 7 to 12 again gets 19, and adding 7 to 19 gets 26 as well for the next two terms.

To solve 1/4÷8, Jordan thinks of dividing a pancake into 4 equal parts, dividing one of those parts into 8 equal pieces, and then eating one of those pieces.

What fraction of the pancake is Jordan thinking about eating?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

Answer: 1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32.

Answer:

1/32

Step-by-step explanation:

[tex]\displaystyle \frac{\frac{1}{4}}{8}=\frac{1}{4*8}=\frac{1}{32}[/tex]

So, Jordan is thinking about eating 1/32nd of the pancake

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