Find the missing part.

Find The Missing Part.

Answers

Answer 1

Answer:

[tex]y=\frac{15\sqrt{3}}{4}[/tex]

Step-by-step explanation:

We are given that

[tex]\theta_1=60^{\circ}[/tex]

[tex]\theta_2=30^{\circ}[/tex]

We have to find the missing part.

[tex]\frac{x}{15}=cos\theta_1=cos60^{\circ}[/tex]

Using the formula

[tex]\frac{base}{hypotenuse}=cos\theta[/tex]

[tex]x=15cos60^{\circ}=\frac{15}{2}[/tex]

[tex]\frac{z}{15}=sin60^{\circ}[/tex]

Using the formula

[tex]\frac{Perpendicular\;arm}{hypotenuse}=sin\theta[/tex]

[tex]z=15\times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3}}{2}[/tex]

Now,

[tex]\frac{a}{x}=cos60^{\circ}[/tex]

[tex]\frac{a}{\frac{15}{2}}=\frac{1}{2}[/tex]

[tex]a=\frac{1}{2}\times 15/2=\frac{15}{4}[/tex]

[tex]y=x sin60^{\circ}[/tex]

[tex]y=\frac{15}{2}\times \frac{\sqrt{3}}{2}[/tex]

[tex]y=\frac{15\sqrt{3}}{4}[/tex]


Related Questions

2 thirds divided by 4

Answers

1/6 or 0.16 in decimal form

What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a

Answers

Answer:

she would need annual breast cancer screening with mammograms.

Step-by-step explanation:

hope this helps! hope you have a nice day.

pls can anyone solve this step by step​

Answers

Answer:

factorize first

16x^3y^2=2×2×2×2×x×x×x×y×y

24x^2y^3=2×2×2×3×x×x×y×y×y

take common=2×2×2×x×x×y×y

=8x^2y^2 which is the write answer

find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m​

Answers

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex](-\frac{3}{4}) ^{-4}[/tex] × [tex](-\frac{3}{4}) ^{-11}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex] , that is

[tex](-\frac{3}{4}) ^{(-4-11)}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

[tex](-\frac{3}{4}) ^{-15}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

Equating exponents gives

m = - 15

The following table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Answers

Answer:

it is 1:5

Step-by-step explanation:

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Paint Color

Quarts of Red Paint Quarts of White Paint

4 20

5 25

7 35

8 40

Which statement is true about the

ratio of red paint to white paint in the paint color?

it is 1:16

it is 16:1

it is 5:1

it is 1:5

Ratio of red paint to white paint in the paint color = 4 : 20

= 4/20

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 1 : 5

Ratio of red paint to white paint in the paint color = 5 : 25

= 5/25

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 7 : 35

= 7/35

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 8 : 40

= 8/40

= 1/5

= 1 : 5

Marlene earns $12,800 per year. 15% is taken from her earnings for taxes. how much money is paid in taxes? how much money is left for Marlene to spend???

Answers

Answer:

$1,920

$10,880

Step-by-step explanation:

Amount marlene earns per year = $12,800

Percentage of taxes = 15%

how much money is paid in taxes?

Amount of tax Marlene pays = 15% of $12,800

= 15/100 × $12,800

= 0.15 × $12,800

= $1,920

how much money is left for Marlene to spend?

Amount left for Marlene to spend = Amount marlene earns per year - Amount of tax Marlene pays

= $12,800 - $1,920

= $10,880

The graph of y = x4 – 2x2 + 1 is shown.

On a coordinate plane, a curved line has two minimum values at (negative 1, 0) and (1, 0) and one maximum value. Point A is at (negative 0.5, 0.5), point B is at (0, 1), point C is at (1, 0), and point D is at (1.6, 3).

Which point is a relative maximum?

A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

relative maximum

is

the highest point after it comes from infinity

and

the highest point before it goes back to infinity

The sum of the digits in a 2 digit number is 5. If the number is subtracted by 9 then the digits will be reversed. Find the number. If the tens digit is x then what is the equation?

Answers

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

Solve: 4(x + 3) ≤ 44


x ≥ 16


x ≤ 16


x ≤ 8


x ≥ 8

Please help

Answers

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]

Which equation describes the summer for two vectors plotted below?

Answers

Answer:

B

Step-by-step explanation:

Find the value of a and b

Answers

Answer:

a = 133 degrees

b = 78 degrees

Step-by-step explanation:

the top and bottom lines are parallel.

the two sidelines are lines that intercept the top and bottom lines.

as they intercept parallel lines, they actually must have the same angles with them.

so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.

the sum of inward and outward angles at a point must always be 180 degrees.

so, the outward angle of 47 = the inward angle a =

= 180 - 47 = 133 degrees.

similar in the other side.

102 is the inward angle.

the outward angle of that is 180 - 102 = 78 degrees.

and that is also the inward angle b.

b = 78 degrees

What is the value of x?

Answers

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?


Please explain thoroughly how to get the answer. 15 points

Answers

Answer:

Check explanation

Step-by-step explanation:

Let

x = original price

Percentage increase in price = 17%

New price = original price + Percentage increase in price

= x + 17% of x

= x + 0.17 * x

= x + 0.17x

= 1.17x

Shipping cost = $3

Total cost = $43

Total cost = New price + Shipping cost

43 = 1.17x + 3

43 - 3 = 1.17x

40 = 1.17x

x = 40 / 1.17

x = $34.188034188034

Approximately,

x = $34.2

the temperature of a city was 26 degrees celsius on Monday the temperature rise by 2 degrees celsius on everyday upto thrusday and fell by 5 degree Celsius on Friday what was the temperature of the city on Friday​

Answers

Answer: 29 degrees Celsius

Step-by-step explanation:

On Monday, Tuesday, Wednesday, and Thursday, the temperature increased by 2 degrees for a total increase of 8 degrees. Then, on Friday, the temperature decreased by 5 degrees. Since 8 - 5 = 3, the total temperature change is +3 degrees, so the answer is 26 + 3 = 29 degrees

Find the value of x such that the data set has the given mean.
102, 120, 106, 111, 108, x; mean 101

Answers

therefore, x = 59

Step-by-step explanation:

Here,

Mean (m) = 101

No. of terms (n) = 6

submission x (total) = 102+120+106+111+108+x

= 547 + x

Now, We know;

m = total / n

101 = 547 + x / 6

101 × 6 = 547 + x

606 - 54u = x

Hence , x = 59.

Expansion (2x-3y+4z)^2

Answers

Answer:

Step-by-step explanation:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)

=4x²+9y²+16z²-12xy-24yz+16zx

We know that,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Now Putting 2x = a, -3y = b and 4z = c , we get

(2x - 3y + 4z)²

(2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x

4x² + 9y² + 16z² - 12xy - 24yz + 16zx

Arranging according to the like terms, we get

4x² - 12xy + 16zx + 9y² - 24yz + 16z²

10. The sum of the digits of a two digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27 . find the number​

Answers

Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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

2b = 10

b = 5

a = 2

The number is 25.

A small point deduction applies if a participation activity's question is not answered correctly the first time?

Answers

Answer: False

Step-by-step explanation:

There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.

Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.

Martin was selling tickets for a basketball game in a high school. He sold
1,250 tickets and the total amount collected for the game was $2,750. The
student tickets cost $2 each, and adult tickets cost $3 each. How many
student and adult tickets were sold?

Answers

Answer:

1,000 student tickets.250 adult tickets.

Step-by-step explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000

daca cel mai mare divizor comun al lor a si b este 21 iar produsul lor este 15435 cat sunt a si b

Answers

Answer:

[tex]{\dag{\underline{{\sf{\red{t {}^{2} = \: \dfrac{4.05}{5} \: = 0.81 \: , \: \: t = 0.9s}}}}}}[/tex]

If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).

Answers

Answer:

A. x² + 3x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = x² + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in functions:                                                                                     (f + g)(x) = 3x - 2 + x² + 1Combine like terms:                                                                                         (f + g)(x) = x² + 3x - 1

Answer:

D. x² + 3x + 1

Step-by-step explanation:

Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1

Find :- ( f + g ) ( x )

Solution :-

plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.

( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))

remove unnecessɑry pɑrɑntheses

( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )

combine like terms

( f + g ) ( x ) = ( x² + 3x - 1 )

What is the slope of the graph shown below

Answers

Answer:

B=-5

Step-by-step explanation:

Slope=rise/run

The line passes in

P1(-1,3)

and

P2(0,-2)

So slope=(3-(-2))/(-1-0)=5/-1=-5

What is the domain of the function shown in the table




HELP

Answers

Remember The domain is always the left side of the relation. The range is always in the right.

Answer is C

Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.​

Answers

Answer:

The two speeds are equal

Step-by-step explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth  10.26 meters per second

The two speeds are equal

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

Compare the speeds⠀⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we know that,

[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

speed=100/9.75speed =10.2564...speed=10.26

BUTTT,

he ran the 200-meter race in 19.5 seconds.

speed=200/19.5speed=10.2564..speed=10.26

According to the question,

we have to compare the speed

100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.

10.26=10.26

the speeds are equal

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

The two speeds are equal of Yohan Blake.

Irene made a mistake when she solved this inequality:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1

Between which two consecutive steps did Irene make a mistake?

Answers

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

Evaluate the expression (24−8)4 using order of operations

Answers

Answer:

(24-8)4

(24-8)*4

16 *4

64

A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges. Its operating costs are $75 per day. After how many days will the charity have enough money to make a donation of at least $1000?

Answers

Answer:

4 days at least

Step-by-step explanation:

A student winds a strip of paper eight times around a cylindrical pencil of diameter 7mm use the value 22/7 as pie to find the length of the paper

Answers

Answer:

176mm

Step-by-step explanation:

Given

Diameter of the pencil = 7mm

First, we need to find the length of one roll of paper

Circumference of one roll = πd

Circumference of one roll = 22/7  *7

Circumference of one roll = 22mm

Since a student winds a strip of paper eight times around a cylindrical pencil, then the length of the paper = 8 * 22  = 176mm

Divide the polynomial by the binomial with or without remainder
(y^(2)-5y+4)÷(y-4)

Answers

Answer:

(y-1)

Step-by-step explanation:

simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1)   -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1

A problem with the pre-/post-measure of training evaluation is _____. Group of answer choices determining if the training was responsible for any changes in performance the difficulty of determining whether employees were randomly assigned to the control group determining the level of trainee competence at only one point in time the difficulty of constructing a good test

Answers

Answer: determining if the training was responsible for any changes in performance

Step-by-step explanation:

Training evaluation is the process of analyzing if training are efficient and effective.

A problem with the pre-/post-measure of training evaluation is determining if the training was responsible for any changes in performance.

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