In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.

Answers

Answer 1

Answer:

44

Step-by-step explanation:

delta math

Answer 2

The length of t is approximately 43.60 cm, to the nearest centimeter.

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.

In this case, we know that:

r = RS = 52 cm

s = ST = 55 cm

∠T = 48°

So, we want to find the length of t, which is the side opposite the angle T.

Let's call the length of t "c". Then, applying the law of cosines, we have:

[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]

Taking the square root of both sides, we get:

c= 43.60 cm

Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.

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Related Questions

3 days 22 hours equals how many hours

Answers

Answer:

94 hours

Step-by-step explanation:

3 days = 3×24 =72total hours= 72 + 22 = 94

Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices

A.No answer text provided.

B.5z

C.4z3 + 5z2 + z

D.4z3 + 5z2

E.9z2 + z

Answers

I know the answere it is c

60% of the 7,000 runners in a marathon were women. How many women ran the marathon?

Answers

Answer:

4200

Step-by-step explanation:

7000 x 0.60 = 4200

Calculate the volume of the cone: 10 yd 3 yd
round to nearest tenth ​

Answers

Step-by-step explanation:

=23.6

[tex]v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} [/tex]

Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

Answers

Answer:

Brians milk is more chocolaty

Step-by-step explanation:

hi to u famous girl !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Answer:

YEET

Step-by-step explanation:

Answer:kuktf

Step-by-step explanation:

oh;f' 'h

'd5r6sxfh;jhp

Please, please, please, please help

Answers

Answer:

55%

Step-by-step explanation:

I divided 22 by 40 to get the percentage she got wrong

hope this is correct and helps :)

Answer:

The percentage is 55%

Pls help me jenejfnnfnwndndbenjwjdndnwkjs

Answers

19 in is less than 2yrds and 4in.

Answer:

I have no clue

Step-by-step explanation:

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11 more than x is less than. 3 (please)

Answers

Answer:

(11+x)-3

Step-by-step explanation:

11 more than x is another way of saying 11+x

And "less than 3" means subtracting 3 from the terms

So if you put that together it would be

(11+x) -3

HELP ASAP!! What is angle 1 called??

Answers

Your right it’s an obtuse angle

3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9

Answers

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

what is the variable in the expression 3y+8​

Answers

The variable: is y

The variable is y




Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?


PLEASE HELPPP

Answers

Answer:

40%

Step-by-step explanation:

Answer:

If you need help on further questions like this, divide what he has to what he needs or his goal

in order to get 37.5% you have to divide 75/ 200

You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.

What is the slope of a line perpendicular to the line whose equation is x + 2y =8.
Fully reduce your answer.

Answers

Answer:

2

Step-by-step explanation:

First, put the line into y = mx + b form to find the slope (m)

x + 2y = 8

Subtract x from both sides

2y = -x + 8

Divide each side by 2

y = -1/2x + 4

So, the slope of this line is -1/2

Perpendicular lines have a opposite reciprocal slope, so the slope of a perpendicular line will be 2.

A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT

Answers

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

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The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.​

Answers

Answer:

The other dimension is x=4 cm

Step-by-step explanation:

Surface Area of a Rectangular Prism

Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:

A = 2(xy + yz + xz)

We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:

148 = 2(x*5 + 5*6 + x*6)

Dividing by 2:

74 = x*5 + 5*6 + x*6

Operating:

74 = 5x + 30 + 6x

Simplifying:

74 = 11x + 30

Subtracting 30:

44 = 11x

Dividing by 11:

x = 4 cm

The other dimension is x=4 cm

What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive

Answers

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

GIVING BRIANLIEST
Find the coefficient of the given term in the specified row of Pascal's triangle.

row7, term 3

Answers

Answer:

28

Step-by-step explanation:

7C2

The 3rd term of 7th row of the Pascals triangle is 21.

We have a Pascal's triangle.

We have to determine the 3rd term of 7th row of this triangle.

What is Pascal's triangle ?

A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -

[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]

If we have to find the element or term at position - m in row number - n, than the element will be -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

We have - n = 7 and m = 3

[7] C [2] = [6] C [1] + [6] C [2]

[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]

Hence, the 3rd term of 7th row of the Pascals triangle is 21.

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Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters

Answers

Cool nothing for me to answer

what 30 x 23 30 x 23

Answers

30 x 23 = 690

23 x 30 = 690

Answer: 690

Step-by-step explanation:

Now whats 34+35?

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]

Now we plug in numbers accordingly:

[tex]\frac{0 - 1}{0 - 2}[/tex]

Simplify:

[tex]\frac{-1}{-2} \\[/tex]

Simplify:

[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the percent chance of a yellow marble being selected on the first draw?
Group of answer choices

Answers

Answer:

33.333333% (the 3 goes on forever)

r=26 in. find the diameter.

Answers

Answer:

see

Step-by-step explanation:

diameter=2×pi×r

diameter. 2.22/7.r

A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?

Answers

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6

A circle had a radius 20 cm. What is the area?

Answers

Answer:

use formula πr^2

Step-by-step explanation:

the area is 1257.14cm^2

ntify each function if it is a polynon
1) P(x) = 5x +5x2+7​

Answers

P(x) = 5x² + 5x + 7

"This is a polynomial because it is a 2nd degree trinomial or quadratic".

"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".

A polynomial is a combination of terms separated by
+
+
or

-
signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
Polynomial

If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?​

Answers

Answer:

how much money does it cost for one person??

2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz

Answers

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

Answers

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer

Answers

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.