In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Find the length of s, to the nearest centimeter.

Answers

Answer 1

Answer:

3315

Step-by-step explanation:

delta math

Answer 2

In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Then the length of s is 3425.8 cm

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°.

We need to find length of S

From angle sum property the sum of three angles is 180 degrees.

∠S+∠T+∠U=180 degrees

∠S+49°+14°=180°

∠S+63°=180°

∠S=117°

Now use Sine rule

SinU/U=SinS/S

Sin14/900=sin117/S

S=900×Sin 117/sin 14

S=3425.8 cm

Hence,  the length of s is 3425.8 cm

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Related Questions

which describes the transformation of. ◇PQR to z◇P'Q'R​

Answers

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Find angle 1 and angle 2

Answers

Answer:

m∠2 is correct, m∠1 is 85°

Step-by-step explanation:

Since, you already gave the angle for ∠2 in which it is vertical to the one shown, m∠1 must be 85° since you are finding the left angle to make a straight line of 180°

you have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by placing the fencing parallel to one of the sides. What is the largest possible area of the playground

Answers

Answer:

Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

Step-by-step explanation:

Given the data in the question;

2x + 3y = 1000 -------- EQU 1

2x = 1000 - 3y

x = 500 - 3y/2

AREA = x × y = (500 - 3y/2)y

= 500y - 3/2y²

dA/dxy = 500 - 3y = 0

3y = 500

y = 500/3

so from equ 1

2x + 3(500/3) = 1000

2x = 1000 - 500

x = 250

So; Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

1 7/8 times 4/5 simplified!!!

Answers

Answer:

1.5

Step-by-step explanation:

PLEASE HELP ASAP!!!!
The capacity of a water jug can hold 4 3/4 pints of liquid. How many cups is this?

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

9.5 cups

Step-by-step explanation:

answer questions 11 and 12
really urgenttt

Answers

Answer:

11.) 135°   12.) 45°

Step-by-step explanation:

11.) When finding one interior angle, you will have to first find the sum of the interior angle using the formula:

Sum of interior angle = ( n - 2 ) 180° where "n" is the number of sides of that shape. So the working will be:

( 8 - 2 ) 180°

= 6 x 180°

Sum of interior angle = 1080°

To find the angle of one interior angle, divide it by the number of sides of that shape.

1080° ÷ 8 = 135°

The measure of one interior angle is 135°

12.) To find the exterior angle, use the formula:

Exterior angle = 360° ÷ n where "n" is the number of sides of that shape. So the working will be:

360° ÷ 8 = 45°

∴ The measure of one exterior angle is 45°

Extra: You can check if the answer is correct by multiplying the answer you got for the exterior angle with the number of sides and that should give you 360°.

Beth saved $30 last summer while Carmen saved $80.what is the ratio of beths savings to Carmens

Answers

Answer: 3:8

Explanation: To get this you have to divide each number by the two numbers' GCF (Greatest Common Factor) and in this case the GCF is 10, so you divide both numbers by 10 and get 3 and 8.

3:8

Step-by-step explanation:

So un-simplified the ratio is 30:80, but because that's not an option, we can simplify it by dividing both values by 10 and get D) 3:8. I hope this helps

Which equation will solve the following word problem? Four roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1200/month and gas costs $50/month. Each roommate pays $345/month. How much is the electric bill per month?


($1200 + $50)/4 = E + $345


($1200 + $50 + $345)/4 = E


($1200 + $50 + E)/4 = $345


($345)4 + E = $1200 + $50

Answers

Given that,

Four roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1200/month and gas costs $50/month. Each roommate pays $345/month.

To find,

The electric bill per month.

Solution,

Bill of each roommates = $1200+$500+E, E is electricity bill

Total bill = $345/month

Bill of each roommates = 4($1200+$500+E), E is electricity bill

ATQ,

4($1200+$500+E) = $345

So, the correct option is (c).

why there is a difference in the time spent per subject.

Answers

It is based on how challenging the subject is and how much information your learning in it

Find the value of "k", given that one solution of the equation 5x^2-kx+40 is 4/5 ​

Answers

Answer:

k = 2

Step-by-step explanation:

Given

5x² - kx + 40

Solution: ⅘

Required

Find k

If the solution is ⅘, then

5x² - kx + 40 = 0 where x = ⅘

Substitute ⅘ for x

5(⅘)² - k(⅘) + 40 = 0

5(16/25) - k(4/5) + 40 = 0

Multiply through by 25

5(16) - 5 * k(4) + 40 = 0

80 - 20k + 40 = 0

Collect like terms

-20k = 0 - 80 + 40

-20k = -40

Divide both sides by-20

k = 2

Use the distributive property to remove the parentheses
-5(-4y-w+3)

Answers

Answer:

Step-by-step explanation:

Original Equation:

-5(-4y - w + 3)

Multiply -5 by -4y

20y

Multiply -5 by -w

5w

Multiply -5 by 3

-15

Plug these values back into the equation

20y + 5w - 15

Hope this helps :)

The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The equation is given;

⇒-5(-4y - w + 3)

Step 1;

Multiply -5 by -4y

⇒-5×-4y

⇒20y

Multiply -5 by -w

⇒-5 ×- w

⇒5w

Multiply -5 by 3

⇒-5 × 3

⇒-15

Replenish the equation with these values

20y + 5w - 15

Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

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Which answer orders the number from least to greatest
a) -5, 1/2, 1.1
b) 1.1, -5, 1/2
c) 1.1, 1/2, -5

Answers

Answer:

a

Step-by-step explanation:

Tell of equations are parallel, perpendicular or neither

Answers

Answer:

1 and 2: Parallel; 1 and 3: Neither; 2 and 3: Neither

Step-by-step explanation:

2 lines are parallel if they have the same slope. 2 lines are perpendicular if they have the opposite reciprocal slope.

A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘ .

Answers

Complete Question

A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church

Answer:

138.3 ft

Step-by-step explanation:

We solve this question above using using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = Height of the church = x

Adjacent = Distance for the base of the church = 213ft

Angle of elevation θ = 33°

Hence:

tan 33 = x /213 ft

Cross Multiply

x = tan 33 × 213 ft

x = 138.32381735 ft

x = Opposite Approximately = 138.3 ft

Therefore, the height of the church = 138.3 ft

answer this ;-; 4 brainliest

report if u steal pts
5( c + 6)
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression.


options: 5, 6, 30, 36

Answers

Answer:

Step-by-step explanation:

Option: 5

5(c + 6)

5(5 + 6) = 5(11) = 55

Option: 6

5(c + 6)

5(6 + 6) = 5(12) = 60

Option: 30

5(c + 6)

5(30 + 6) = 5(36) = 180

Option: 36

5(c + 6)

5(36 + 6) = 5(42) = 210

Hope this helped! If I understood the question wrong, please let me know! <3

Abby and her sister Emily are making baby blankets to sell at a boutique. Abby has already completed 9 blankets and can finish 6 more blankets per day. Emily has already completed 12 blankets and can finish 5 more blankets per day. At some point, they will have completed the same number of blankets. How many blankets will each woman have made? How long will that take?

Answers

Answer:

I think answer is 32 blankets. 2 days will it takes

(5-3) x 1/2+2 dueushdueuxhusuwhehdzusihejzihjdjsjejejdisisjjer

Answers

the answer is 2. have a good day

Mrs. Little’s rectangular sandbox has an area of 191
1
4
square yards. The width of the sandbox is 8
1
2
yards.

What is the length, in yards, of Mrs. Little’s sandbox?

Answers

Answer: 7.1 feet is the answer

pls help due at 11:59

Answers

Angle V is 41 degrees

graph the equation below using slope intercept form y=-3x+8

Answers

Answer:

here is a graph from Desmos

Step-by-step explanation:

simplify (7^6)^2 .....................................

Answers

Answer:

13,841,287,201

Step-by-step explanation:

simply the parenthesis:

7^6 or 7 times itself 6 times: 7x7x7x7x7x7

which equals 117,649 and then multiply that number by itself

117,649x117,649 and you should get 13,841,287,201

The simplification of  (7^6)^2 is 13,841,287,201

What  is power?

power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

Given:  (7^6)^2

Firstly,

7 times itself 6 times

= 7x7x7x7x7x7

= 117,649

Now, 2 times of  117,649.

= 117,649x117,649

=13,841,287,201

Hence, the solution to this expression is: 13,841,287,201

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the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price relative is sold per kg to earn a profit of 20%​

Answers

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

= 5.4  per kg × 100 ÷ 90

= 6 per kg

Now for 20% profit, the price per kg is

= 6 × (1 + 0.20)

= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second, Then v = square root of 19.6h .If an object is dropped from a height of 49.2 meters, with what velocity does it hit the ground? Round your answer to the nearest tenth.

Answers

Answer:

80

Step-by-step explanation:

please help me
i neeed an help from you guys

Answers

10/12 is the one that is not equivalent


7/8
7x3=21
8x3=24


RUFF PLS HELP DONT HAVE TO BE RIHT ALSO IL GIVE BRAINLIST

Answers

Answer:

36 customers, 6 guides

Step-by-step explanation:

Given: We know that the total number of guides and customers combined is 42 people, and the ratio of customers to guides is 6/1 (Every 6 customers, there's 1 guide)

So how do we solve this?

One way you can solve this is by making a column. On one side, you put 6, and on the other, you put 1.

Here's an example (obviously, making a column with a keyboard is quite difficult):

6 | 1

What's 6+1?

7.

Now, we need to figure out how many groups of 7 can go into 42.

We can figure that out by dividing 42/7, which gives you 6.

So now let's go back to that column:

6 | 1

Since we know 6+1=7, we can make 6 rows of it:

6 | 1

6 | 1

6 | 1

6 | 1

6 | 1

6 | 1

We know that on the column 6 represents the customers, and 1 represents the guides. So, all we have to do left is either add or multiply (whichever you prefer). I'll show both ways:

Multiplying

We can multiply 6x6 for the left column to get 36. That's how many customers we have. And for the guides, we can multiply 6x1 and get 6. So now we know we have 36 customers and 6 guides.

Adding

On the left side of the column, we have six rows of 6. In order to figure out the amount of customers, all we need to do is add 6 six times. It should be like this:

6+6+6+6+6+6=36

To figure out the guides, we do the same thing, but instead of adding 6 six times, it's 1. (Hopefully for this, you won't need to rely on repeated addition. It's a lot easier to count for 1)

1+1+1+1+1+1=6

So now we know there are 36 customers and 6 guides.

what is Roman numeral of LXVX in number​

Answers

Answer:

That is the number two (2)

Step-by-step explanation:

Mr. Mancini is driving east to visit some relatives. The graph below shows the distances and times he drove for each of five days.

Answers

Answer:

Step-by-step explanation:

I’m just a beginner mate but I know for a fact just match the graph and you’ll get the answer

Can someone help me with this I’m stuck on it

Answers

Answer:

Can I get brainliest

Step-by-step explanation:

A= -3x+3

B= 4x+6

C= -8x-8

D= 3x+1

2.

The PE teacher is ordering equipment for the next school year. There are 156 students. She needs enough basketballs so that there is 1 basketball for every 12 students. How many basketballs does she need to order?
a.
312 basketballs
c. HELP PLSSSS
13 basketballs
b.
12 basketballs
d.
11

Answers

Answer:

13 basketballs

Step-by-step explanation:

13 basketballs is the answer

6- 3/4 x + 1/3 = 1/2x + 5

Answers

1 1/15 i believe. if you need explanation lmk

Answer:

I think it would be 16/15.

Step-by-step explanation:

6- 3/4x + 1/3 = 1/2x +5

6+ 1/3 - 5 = 1/2x + 3/4x

18/3 + 1/3 - 15/3 = 2/4x + 3/4x

18 + 1 - 15 / 3 = 2x + 3x / 4

4 / 3 = 5x / 4

4 × 4 / 3 = 5x

16/ 3 = 5x

16 / 3 ×5 = x

16 / 15 = x

Therefore, x = 16/ 15

And you want another way to solve it i will give you the link of website.

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