Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B, and a hypotenuse of length z opposite the right angle. If [tex]sinB=1/sqrt(3)[/tex] and x=8, find the length of the other side (y) and the length of the hypotenuse (z).

[tex] \sin(60) = \frac{a}{4 \sqrt{3} } \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{a}{4 \sqrt{3} } \\ [/tex]

[tex]a = 6[/tex]

_____________________________________________

[tex] \cos(60) = \frac{c}{4 \sqrt{3} } \\ [/tex]

[tex] \frac{1}{2} = \frac{c}{4 \sqrt{3} } \\ [/tex]

[tex]c = 2 \sqrt{3} [/tex]

_____________________________________________

[tex] \sin(45) = \frac{a}{b} \\ [/tex]

[tex] \frac{ \sqrt{2} }{2} = \frac{6}{b } \\ [/tex]

[tex]b = 6 \sqrt{2} [/tex]

_____________________________________________

[tex]d = a = 6[/tex]

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1,200 divide by 600 = 2 students

2 students multiply by 50% is 100 students.

So, approximately 100 students ride their bicycles home.

(If not correctly, I am truly sorry)

Answer:

+

perpendicular lines are lines that meet at a 90 degree angle

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

There are 5 points from -1 to -2 if you count by 0.2 then you get 0.6 put that with the numbers on the line and you get 1.6

Answer:

31/10

Step-by-step explanation:

Answer:

m<B = 141 degrees

Step-by-step explanation:

This shape is a heptagon meaning its angles should have a sum of 900 degrees.

we are given the degrees and we need to ad them up

148+90+120+129+130+142=749

then we subtract 749 from 900 which looks like

900-749=141

from subtracting 749 from 900 we get 141 hence we get our answer that m<B = 141 degrees

Answer:

3 participants

Step-by-step explanation:

7 + 6 + 5 = 18

21 - 18 = 3 participants

Answer:

Cost of Computer: $734

Cost of Printer: $367

Step-by-step explanation:

These two equations can represent the costs; x = price of computer; y = price of printer.

x + y = 1101

2y = x

If you graph these, you get an intersection point of (734, 367). This means that the only place that both equations are fulfilled is on (734, 367).

Then you can check your work:

734+367=1101

367*2=734

Answer:

The Inch To Feet Calculator is available online here for free at BYJU'S. One inch is equal to 0.083333 feet. One foot is equal to 12 inches.

Step-by-step explanation:

Answer: The answer is simply O

Step-by-step explanation: In this algebraic problems is very common to find an answer like that since you step to step process is basically canceling out the terms. We make disappear X and Y because that’s gonna count as a 1 unit value so don’t write x and y. It’s only 0

Answer:

275

Step-by-step explanation:

because it is in between 270 and 280

845 / 5 = 169

Each person withdrew 169$ from their accounts.

Answer: 7.5

Step-by-step explanation:

5x3 = 15 A = 1 half L x H

A = (3)(5)

A = 15

A =  15 x 1 half = 7.5

correct me if i am wrong.

Answer:

20%

Step-by-step explanation:

add up all the values, then do 9 (alex's score) and divide it by 45 (total that was added up)

Answer:

A. 9

Step-by-step explanation:

Add all basketball shots then divide by 5

Answer:  x=17

Step-by-step explanation:(6x+x+4x)+(10+17-34)=180

we know this because triangles always equal 180o so the 3 angles equa; 180 so 187/11 + 17

Answer:

x=24

<6=79°

Step-by-step explanation:

We can see that if we add 3x+7 and 4x+5, it will total a 180-degree angle.  This allows us to solve for x. 3x+7+4x+5=180 7x+12=180 7x=180-12 7x=168 x=24 We can also see that angle six is the same as the angle 3x+7.  Since we know x=24, we can solve for those angles. 3(24)+7= 72+7=79 So <6=79 degrees

The number of regular tickets are 70, the number of student tickets are 110 and the number of children tickets are 30.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, you are studying last year’s event and know that 210 people attended last year’s school carnival.

The number of regular tickets sold was 10 more than twice the number of children’s tickets sold.

Let the number of children tickets be x.

Then, number of regular tickets be 2x+10

Let the number of student tickets be y.

You are studying last year’s event and know that 210 people attended last year’s school carnival.

x+2x+10+y=210

3x+y=200 --------(I)

The total amount of money collected for tickets was $710.

Now, 5(2x+10)+3y+x=710

10x+50+3y+x=710

11x+3y=660 --------(II)

Substitute y=200-3x in equation (II), we get

11x+3(200-3x)=660

11x+600-9x=660

2x=60

x=30

Substitute x=30 in equation (I), we get

3(30)+y=200

y=110

Number of regular tickets =2x+10

= 70

Therefore, the number of regular tickets are 70, the number of student tickets are 110 and the number of children tickets are 30.

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Answer:

Answer is 1

Step-by-step explanation: 6-1= 5        5x0=0       0+2=2      2 divided by 2 is= 1

Answer:

65°

Step-by-step explanation:

<JKL=90°

<KJM+<JKL+<JML=360°

77°+90°+128°+<JML=360°

<JML=65°

Answer:

hello

( 20 - 2 x ) ( 18 - 2 x )

= 360 - 40 x - 36 x + 4 x²

= 4 x² - 76 x + 360

Step-by-step explanation:

Answer:

Use this to answer your question :)

Step-by-step explanation:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Answer:

54 units²

Step-by-step explanation:

Formula we use,

→ Area = ½ × b × h

Now the area of the triangle is,

→ ½ × b × h

→ ½ × 18 × 6

→ 9 × 6

→ 54 units²

Hence, the area is 54 units².

Answer:

b: y=1/4x -2

Step-by-step explanation:

It says the answer in the question. the slope on the graph is really just 1 though.

Hello!

Answer:

[tex]\Large \boxed{\sf 20\%}[/tex]

Step-by-step explanation:

→ We want to calculate the percentage increase we saw in our premium.

→ To calculate the percentage increase we saw in our premium, let's calculate the difference between our first six-month car insurance premium and our renewal premium:

[tex]\sf 786.25 - 629.00 = 157.25[/tex]

→ Calculate the percentage:

→ The formula used to calculate the percentage is:

[tex]\sf \dfrac{value}{total ~value} \times 100\%[/tex]

→ Apply this formula with value = 157.25 and total value = 786.25:

[tex]\sf \dfrac{157.25}{786.25} \times100\%[/tex]

→ Simplify the expression:

[tex]\sf \dfrac{157.25}{786.25} \times100\%\\\\\\= 0.2 \times100\%\\\\\\= 0.2 \times \dfrac{100}{100} \\\\\\= 0.2 \times 1\\\\\\= 0.2\\\\\\= \dfrac{20}{100} \\\\\\\boxed{\sf= 20\%}[/tex]

So the percentage increase we saw in our premium is 20%.

Answer:

C.

Explanation: I hope it's help you

The use of estimates to make the decisions It is important to calculate those estimates to at least six decimal places.

We have given the options that are

A. It is important to always use a 95% confidence level

B. It is important to remember that you will never achieve certainty

C. It is important to calculate those estimates to at least six decimal places.

D. It is important to use a 100% confidence level so as to achieve certainty.

E. All of the above

F. None of the above

We have to determine the correct decision.

Any of numerous procedures used to calculate the value of some property of a population from observations of a sample drawn.

That is we are estimating the value up to 6 decimal places

Therefore option C is correct.

It is important to calculate those estimates to at least six decimal places.

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Answer: B,D,C,A

Step-by-step explanation:

I hope that helps

Please mark me the brainiest !

Answer:

  $2.27

Step-by-step explanation:

Huong's expense is the sum of the cost of the magazine and the cost of 7 candy bars. If c represents the cost of a candy bar, then Huong's expense was ...

  $4.94 +7c = $20.83

  7c = $15.89 . . . . . . . . subtract 4.94

  c = $2.27 . . . . . . . . divide by 7

Each candy bar was $2.27.

Step-by-step explanation:

h varies directly with a and inversely with b.

2 is the constant of variation.

Answer:

RADIUS

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

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

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

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Answer:

1 = 0.56
2 = ‭0.43‬
3 = ‭0.55‬
4 = ‭0.49‬

5 = 0.70

Step-by-step explanation:

I not sure