In ΔSTU, t = 96 cm, u = 98 cm and ∠S=46°. Find the length of s, to the nearest centimeter.

Answers

Answer 1

The length of s to the nearest centimetre is 76 cm

What are Triangles?

Triangles are polygon with three sides.  

Therefore, the triangle STU have the following properties.

t = 96 cmu = 98 cm∠S = 46°s = ?

Let's find s using cosine law. Therefore,

s² = t² + u² - 2tu cos S

Therefore,

s² = 96² + 98² - 2 × 96 × 98 cos 46°

s² = 9216 + 9604 - 18816 × 0.69465837045

s² = 18820 - 13070.6918986

s² = 5749.3082

s = √5749.3082

s = 75.8241927092

s ≈ 76 cm

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Related Questions

Which equation of a line passes through the points (-1,3) and (2,-3)?​

Answers

Answer:

y=-2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-3)/(2-(-1))

m=-6/(2+1)

m=-6/3

m=-2

y-y1=m(x-x1)

y-3=-2(x-(-1))

y-3=-2(x+1)

y=-2x-2+3

y=-2x+1

Find the mode of the following data: 56, 74, 24, 56, 27, 56

Answers

Mode is the number that occurs the most so here the mode is 56

Complete the table for the given rule.
Rule: y = 2 – 3
7.
1
7

Answers

Step-by-step explanation:

y = x-3

So, y + 3 = x

x = y + 3

if x = 7

y = 7 - 3 = 4

if y = 1

x = 1 + 3 = 4

......

The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?

Answers

Answer:

Step-by-step explanation:

The relation is proportional ⇒ Graph of y = 3x goes through origin

So the answer is (B)

The ratio of number of men to the number of women in the auditorium is 4:7. The number
of men is 487.
2.3.1 Determine the number of women in the auditorium.​

Answers

The ratio 4:7 means for every 4 men there are 7 women.

Divide total number of men by 4:

487/4 = 121.75

Multiply that by 7:

121.75*7 = 852.25 Round to the nearest whole number.

There is approximately 852 women.

help please!! The measures of the angles of a triangle are shown in the figure below. Solve for x

Answers

Answer:

61

Step-by-step explanation:

80+39=119

180-119=61

Composite Figures Question 2.
A. 74 ft
B. 24 ft
C. 81 ft
D. 69 ft

Answers

D. 69
Break up the figure then multiply the numbers.
9 x 5=45.
4 x 6=24.
Then add.
45+24=69
The Correct answer is D

help me please. marking brainliest

Answers

Answer:

A.

Step-by-step explanation:

The image is above :)
What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form,

Answers

Answer:

mx+b=y

200x+800=y

Step-by-step explanation:

it starts at 800 which is the y intercept

x is multiplied by 200

and y is the solution

Do not press the file

hopes this helps <3

Need help on this assignment

Answers

Answer:

(-1)^2+5= 1+5=6

(0)^2+5= 0+5= 5

(1)^2+5= 1+5= 6

6+5+6= 17

x-1 + x0 + x1 = (-1)^2 + 5  + (0)^2 + 5  +  (1)^2 + 5  = 6 + 5 + 6 = 17

The circumference of a circular table is 235.5 inches. Which of the following is closest, in inches, to the radius of the table?
9
37
75
or 144

Answers

The closest to the radius is 37

Divide​ f(x) by​ d(x), and write a summary statement in polynomial form and fraction form. F(x)=x^2-12x+43;\ d(x)=x-6

Answers

Answer:

Quotient: x^(2)-6

Reminder: 7

Step-by-step explanation:

See the attached image.

The Polynomial form of F(x) / d(x)  is  (x - 6) + 7 / (x - 6).

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

F(x) = x² - 12x +43

d(x) = x - 6

Then,

F(x) / d(x) =  x² - 12x +43 / x - 6

Factorize the numerator,

F(x) / d(x) = [(x - 6) (x - 6) + 7] / (x - 6)

F(x) / d(x) = (x - 6) (x - 6) / (x - 6) + 7 / (x - 6)

F(x) / d(x) = (x - 6) + 7 / (x - 6),

Therefore, the Polynomial form of F(x) / d(x)  is  (x - 6) + 7 / (x - 6).

To know more about division:

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60 is 150% of what number?

Answers

Answer:

40

Step-by-step explanation:

You write down the %/100 = is/of 1st

So what you want to do is remove the percentage first and the place 150% And then place 60 on the "is" Numerator. And as u can see you do 100 * 60, that'll give you 600 and then the 150% is left alone, so you divide 600 and 150 And the answer is going to be 40

Hope this helps! Mark one of us as brainliest

Answer:

40

Step-by-step explanation:

x = 60 ×  100 /150

x= 40

five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees taller than 9 ft​

Answers

5/12 = .41666666666666666666

Someone pls help me with this question!!!!!!!

Answers

Answer: The answer is 96

Step-by-step explanation: your have to measure the length by width(6x12) then subtract 12 from 20 which is 8 then divide by 2 and you get 4 so when you have 6x4=24÷2(because its a triangle)=12 since theres 2 triangles multiply by 2 so add 12+12+72 and you get 96

What is The equation of a circle with radius, r= 4, and the center at (0, 0)?

Answers

Answer:

x^2+y^2=16

Step-by-step explanation:

i think so

What is the
range of the function graphed below? ((Writing the answers in case you can’t read them well))

A. -infinity < y < 2
B. -2 < y < infinity
C. -infinity < y < -2
D. -infinity < y < infinity

Answers

Given:

The graph of a function.

To find:

The range of the graphed function.

Solution:

We know that, the domain is the set of x-values and range is the set of y-values values.

From the given graph it is clear that the functions is defined for all real values of x.

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to 2\text{ as }x\to \infty[/tex]

The values of the function lie in the interval [tex]-\infty<y<2[/tex].

Range of the function [tex]=-\infty<y<2[/tex]

Therefore, the range of the graphed function is [tex]-\infty<y<2[/tex] and the correct option is A.

Please hurry this is 7th grade hon math

Answers

Answer:

4) B

5) B

6) A

Step-by-step explanation:

Answer:

4) no

5) 8x + 1.50

6) 1, 2, 0, 5

Step-by-step explanation:

4) no- first step is to subtract 10

5) number of apples times price of $8 plus a single purchase of $1.50

6) all values greater than -2

Holly was asked to estimate the solution of the system of equations. She incorrectly said the solution is (-5,-2.5) . Estimate the solution of the system by graphing the equations. What mistake might Holly have​ made?
y-2x=0
y=6x+10

Answers

Answer:

answer is 10++; huuj vidi ogivj viici

The points (-2,0) and (0,-6) are each on the graph of a linear equation.
Is (2,6) also on the graph of this linear equation?
Yes, the point is on the graph.
No, the point is not on the graph.

Answers

Answer:

Step-by-step explanation:

Write an equation:

the slope would be -6 / 2 = -3

in point slope form:

y = -3(x+2)

simplify:

y = -3x - 6

Check if (2, 6) is a point:

6 = -3 * 2 - 6

6 = -6 - 6

6 = -12

Not true. The point is not on the graph.

1. c + 5 = 14; C = 8​

Answers

Answer:

REPORT THIS AWNSER

Step-by-step explanation:

Answer:

c can't equal 8 bc if it did, the answer would be thirteen, not fourteen. c has to equal 9.

Step-by-step explanation:

a man saves 8% of his salary every month . if he saves rs. 2880 every month ,what is his monthly salary

Answers

Answer:

Total salary = Rs.36,000

Step-by-step explanation:

Given:

Amount saves = Rs. 2,880

Percent of saving = 8% = 0.08

Find:

Total salary

Computation:

Total salary = [Amount saves] / Percent of saving

Total salary = 2,880 / 0.08

Total salary = Rs.36,000

how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)

Answers

1=6

x=42

cross multiply

x=7

Please mark brainlist

You can buy 7 tickets like the guy above said

Find the slope pleaseeee hurry

Answers

Answer:

slope is -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let ( x1 , y1) = ( -4 ,1 )

(x2 , y 2) = ( -2 , -1 )

Now

slope (m)

= ( y2 - y1) / (x2 -x1)

= ( -1 - 1) / ( - 2 + 4)

= -2 /2

= - 1

Hope it helps :)

Please help me I am almost done

Answers

Answer:

129 ?

Step-by-step explanation:

.

I believe it’s 3 i don’t know i might be wrong but hope you past bye bye

Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?
PLEASE HELP!!!

Answers

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

can someone answer pls :(
i need help it’s already missing i’ll give brainlist and points

Answers

Answer:

download mathaway and put the equations in it and press graph

Answer:

Step-by-step explanation:

To graph the lines you only need to connect two points and extend the line in either direction as far as you wish.

The first line is y=x-1

We get two points by subbing in any two values of x

y(0)=0-1=-1 and y(1)=1-1=0

So you just connect (0,-1) and (1,0)

The second line is y=-x/3+3 and we can do the same thing

y(0)=-0/3+3=3 and y(3)=-3/3+3=2

So you connect (0,3) and (3,2)

Martin and Eric are preparing to board a roller coaster together and pick their seats. Martin selects a seat first, and then Eric selects one from the available seats.

Are these two events dependent or independent? Justify the answer.

Answers

Answer:

independent

Step-by-step explanation:

The two events are independent because the seat that Martin selects does not affect the seats that are left for Eric to pick.

What Are Independent Events?

An Independent Event is defined as if the outcome of one event has no bearing on the outcome of the other, the two events are said to be independent events. Or, we may say that an event is considered independent if it does not affect the probability of another event. Probability-independent events mirror actual occurrences.

Martin and Eric choose their seats as they get ready to ride a roller coaster together. Eric chooses a seat from the various options after Martin does.

Because Martin's choice of seat has no impact on the seats that Eric has left to choose from, the two events are independent of one another.

Hence, the two events are independent because the seat that Martin selects does not affect the seats that are left for Eric to pick.

Learn more about the Independent Events here:

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30 Points PLS ANSWER ASAP I REALLY NEED THIS!!!

The nervous system is a ___________________ in which your brain _____________ and ___________________ messages about things in and around your body.

Answers

answer:

the nervous system is a system in which your brain sends and receives messages about things in and around your body.

good luck :)

hopefully, this helps

have a great day !!

Answer:

the nervous system is a system in which your brain sends and receives messages about things in and around your body.

Step-by-step explanation:

Hope This Help??

Please Mark Me Brainly?

what is the scale factor from the image

Answers

answer: 2
reasoning: 5 is half of 10 so the scale factor is double which is 2
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