In ΔRST, r = 53 inches, ∠S=6° and ∠T=58°. Find the length of s, to the nearest inch.

Answers

Answer 1

Answer:

s = 6 inches

Step-by-step explanation:

Given:

r = 53 inches,

∠S = 6°

∠T = 58°.

Required:

Length of s

Solution:

Use Sine Rule

Thus:

[tex] \frac{s}{Sin(S)} = \frac{r}{Sin(R)} [/tex]

<R = 180 - (58 + 6)

<R = 116°

r = 53 inches,

∠S = 6°

s = ?

Plug in the values

[tex] \frac{s}{Sin(6)} = \frac{53}{Sin(116)} [/tex]

Multiply both sides by Sin(6)

[tex] \frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6) [/tex]

[tex] s = \frac{53 \times Sin(6)}{Sin(116)} [/tex]

[tex] s = 6 inches [/tex] (nearest inch)

In RST, R = 53 Inches, S=6 And T=58. Find The Length Of S, To The Nearest Inch.

Related Questions

Among us code: QZUVDF

Answers

Answer:

cool imma join what is the map?

Answer:

aww man im too late

Step-by-step explanation:

vote me for homecomeing XD

The average high temperature in Valerie's city during the month of December is 50°F.
Using the formula F = C + 32, what is C, the average high temperature in degrees
Celsius?

Answers

Answer:

18

Step-by-step explanation:

50-32=18

Simplify 2(7n + 5m – 3m)

Answers

Answer:

14n+4m

Step-by-step explanation:

Hey there!

“Simplify 2(7n + 5m – 3m)”

2(7n + 5m – 3m)

FIRST you have to DISTRIBUTE

2(7n) + 2(5m) + 2(–3m)

2(7n) = 14n

2(5m) = 10m

2(–3m) = –6m

14n + 10m – 6m

SECOND COMBINE your LIKE TERMS

(14n) + (10m – 6m)

(10m – 6m) = 4m ⬅️ FRONT number

(14n) = 14n ⬅️ BACK number

Answer: 4m + 14n ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

How can you tell two values are in a proportional relationship?
100 points please help!!

Answers

Answer:

A

Step-by-step explanation:

One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Answer:

A. Each value is an equivalent ratio

Step-by-step explanation:

This image shows that the only possible answer would be A.

find the y intercept of 3x-2y-6=0​

Answers

Answer:

-3

Step-by-step explanation:

the y=mx+b form is y=3/2x-3 and the b is the y-intercept.

Cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 5 lb in
all. Create a graph showing the amount of each fruit you can buy.
i need a picture of a graph

Answers

Answer:

Let's define the variables:

x = number of Cherrie pounds you buy

y = number of Grape pounds you buy.

The total cost of buying that will be:

x*$4 + y*$2.50

And this must be no more than $15, then we have the inequality:

x*$4 + y*$2.50 ≤ $15

And we also know that you need at least 5 pounds in total, then we will have:

x + y ≥ 5

We have the set of inequalities:

x + y ≥ 5

x*$4 + y*$2.50 ≤ $15

To graph them, a easy way is to write them as lines, and just graph the lines:

y ≥ 5 - x

y  ≤ ($15 - x*$4)/$2.50

in the first inequality, we have the symbol ≥, this means that we will have a solid line and we must shade above the line.

In the second inequality, we have the symbol ≤, this means that we will have a solid line and we must shade below the line.

And we also must include the conditions:

x ≥ 0

y ≥ 0

Because you can only buy positive numbers of fruit.

This will restrict us to the first quadrant only

Then the graph will be the one shown below.

Where the solutions are the ones in the double shaded region in the first quadrant.

The inequalities that represent the given data are [tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex] and [tex]\rm y\geq 5-x[/tex] and the graph of these inequalities is attached below.

Given :

Cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 5 lb in  all.

The following steps can be used in order to determine the graph showing the amount of each fruit you can buy:

Step 1 - Let 'x' be the total amount of cherries in pounds and let 'y' be the total amount of grapes in pounds.

Step 2 - The inequality that represents the total amount of fruits you can buy is given below:

[tex]\rm 4x+2.5y\leq 15[/tex]

[tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex]

Step 3 - The inequality that represents the total amount of fruits you need to buy:

[tex]\rm x+y\geq 5[/tex]

[tex]\rm y\geq 5-x[/tex]

Step 4 - The graph that represents the inequalities evaluated in the above steps is attached below.

For more information, refer to the link given below:

https://brainly.com/question/19491153

answer solve plz
4(2x - 1) = 8x - 4

Answers

Answer:

x = ∞ (Infinite solutions)

Step-by-step explanation:

[tex]4(2x-1)=8x-4\\\\8x-4=8x-4\\\\8x-4+4=8x-4+4\\\\8x=8x\\\\8x-8x=8x-8x\\\\\boxed{0=0}[/tex]

Since both sides of the equation mirror each other, the equation has infinitely many solutions.

Hope this helps.

Dawn earned $97.50 for 10 hours of work. Amy earned 120 in 12 hours of work how much did each person earn per hour

Answers

Answer:

Amount earned in 1 hour [tex]=\$9.750[/tex]

Amount earned in 1 hour [tex]=\$10[/tex]

Step-by-step explanation:

Total amount earned by Dawn = $97.50

Dawn earned $97.50 for 10 hours of work

Amount earned in 1 hour [tex]=\frac{97.50}{10}=\$9.750[/tex]

Total amount earned by Amy in 12 hours = $120

Amy earned $120 in 12 hours of work

Amount earned in 1 hour [tex]=\frac{120}{12}=\$10[/tex]

how do i do this please help

Answers

-5x+2>37
Subtract two from both sides
-5x>35
Then divide five
X<-7
You have to flip the sign when you divide with a negative.
-2 = -5x>35 % 5 =1x> 7

which is greater -3/4 or -13/16​

Answers

Answer:

-3/4

Step-by-step explanation:

-3/4 = -0.75

-13/16 = -0.8125

-0.75 > -0.8125

PLS HELP ME I NEED HELP

Answers

Answer:

≈ 7.71 ft

Step-by-step explanation:

The perimeter is half the circumference (C)  of the circle plus the diameter.

[tex]\frac{1}{2}[/tex] C = [tex]\frac{1}{2}[/tex] πd ( d is the diameter )

      = 0.5 × π × 3 = 1.5π

Thus

perimeter = 1.5π + 3 ≈ 7.71 ft ( to the nearest hundredth )

How would you rewrite 32 2/3 using a radical symbol? HURRRYY

Answers

∛32² is the number in a radical form.

1F hX)=(fog)(x) and h(x)=5(x + 1)³ Find one possibility For f(x) and g(x)​

Answers

Answer:

f(x) is 5x³ and g(x) is  x+1

Step-by-step explanation:

Given the composite function:

h(x) = f(g(x)) = 5(x + 1)³

The function and be splitted into 5x³ and x+1 where f(x) =  5x³ and g(x) = x+1

Check:

f(g(x)) = f(x+1)

Substitute x with x+1 inn f(x)

f(x+1) = 5(x+1)³

f(g(x)) =  5(x+1)³  (which gives the required function

Hence one possibility of f(x) is 5x³ and g(x) is  x+1

18$ for three book what is the unit rate​

Answers

6 is the unit rate bc 18 divided by 3

Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

A bracelet is made by stringing together four beads. Each bead is either red or green. How many different color patterns are
possible for the bracelet, where patterns are considered the same if rotating one wil produce the other, as shown here?

Plz I need this quickly

Answers

Answer:

3 or 5, depends on the bracelet can be fully green or red. If you have to have both colours then it's 3.

Step-by-step explanation:

RRRG

RRGG

RGGG

GGGG?

RRRR?

Answer:

6

Step-by-step explanation:

RRRR

RRRG

RRGG

RGRG

RGGG

GGGG

6, (You problary forgot hat 2 green and 2 red have 2 possilbilties, RRGG and RGRG)

Which of the following statements is false? (5 points)

The sum of two rational numbers is always rational.
The product of a nonzero rational number and an irrational number is always irrational/
The product of two rational numbers is always rational
The sum of two irrational numbers is always rational.

Answers

Answer:

Step-by-step explanation:

The sum of two irrational numbers is always still irrational.

5√3 + 6√5 is still going to be irrational. You cannot find two such numbers adding to rational.

Answer:

The sum of two rational numbers is always rational

Step-by-step explanation:

The sum of numbers always terminate and ends.

Please hurry
In the figure, △EBA ≅ △EDC.

Triangles EBA and EDC are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?
Check all that apply.

Answers

Answer:

AE ≅ CE

∠BAE ≅ ∠DCE

Step-by-step explanation:

In the figure, △EBA ≅ △EDC.

Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?

Check all that apply.

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

AB ≅ BE

AC ≅ BD

EDGE2020

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.

In the given information, △EBA ≅ △EDC.

Given that the Triangles EBA and EDC are connected at point E.

Also Angles A B E and E C D are right angles.

And Angle A E B and D E C are congruent.

The Sides B E and E D are congruent.

Hence,

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

Now AB ≅ BE

AC ≅ BD

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

solve for x, will give brainliest !!

Answers

Answer:

3x+7=7x-13(Being isoceles traingle)

7+13=7x-3x

20=4x

×=5

Solve for x. 7x−9 11
Enter your answer, including the inequality symbol, in the boxes.
x_____or x ______

Answers

Answer:

x<20/7

Step-by-step explanation:

The expression is not well written. Fine the correct expression below

Given the expression  7x−9<11

Add 9 to both sides of the expression

7x-9+9<11+9

7x < 20

Divide both sides by 7

7x/7 = 20/7

x < 20/7

Hence the required solution is x<20/7

James is buying a pair of jeans that cost $39.99. If the price is discounted 40%, and the sales taxes is 8%, what will James pay for the jeans?

Answers

Answer:

$25.90

Step-by-step explanation:

39.99 - 40% = 23.99

23.99 TIMES 8% = $1.91

23.99 + 1.91= $25.90

Gavin needs to make 2 batches of mango paint.How you could find the total amount of paint Gavin mixed

Answers

Answer:

The answer is "Gavin combined paint to [tex]\frac{10}{3}[/tex] to produce 2 mango paint containers".

Step-by-step explanation:

For the development of Mango shade, Gavin used the red and the yellow colour.  He wants to add one batch:

[tex]\to 5\frac{5}{6} + 5 \frac{5}{6}[/tex]

Foe 2 batches:

[tex]\to 5\frac{5}{6}+ 5\frac{5}{6} + 5\frac{5}{6} + 5\frac{5}{6}[/tex]

Solve the equation in two parts:

First Solving the whole numbers:

[tex]\to 5 + 5 + 5 + 5 = 20[/tex]

Second Solving the fractions part :

[tex]=\frac{5}{6}+\frac{5}{6}+\frac{5}{6}+\frac{5}{6}\\\\ = \frac{5+5+5+5}{6}\\\\= \frac{20}{6}\\\\= \frac{10}{3}[/tex]

Gavin combined paint to [tex]\frac{10}{3}[/tex] to produce 2 mango paint containers.

Which of these strategies would eliminate a variable in the system of equations?
8.3 + 5y = -7
- 7x + y = -4

Answers

Answer:

Multiplying the first equation by 1 and the second equation by 5 to eliminate the y variable .

x= 0.3

y= -1.9

Step-by-step explanation:

8.3x + 5y = -7  ----------i

- 7x + y = -4 -----------ii

Multiply the first equation by 1 and the second equation by 5 to eliminate the y variable as below;

[8.3x + 5y = -7 ]1

[- 7x + y = -4]5

8.3x + 5y = -7

-35 x + 5y = -20

perform subtraction to eliminate y as

8.3x --35x = -7--20

43.3 x = 13

x= 13/43.3

x= 0.3

Using equation ii ;

-7x + y = -4

-7 * 13/43.3 + y = -4

-91/43.3 + y = -4

y= -4 + 91/43.3

y= -4 + 2.1

y= -1.9

Sandy is planning to build a triangular garden with the border made out of what two of the sides will be 16.4 feet in length the other side will be 4 1/2 feet she has a total of 38 feet does she have enough wood to make the border explain

Answers

Answer:

she has enough wood to make the border

Step-by-step explanation:

Two of the sides of the triangular garden = 16.4 feet

The other side of the triangular garden = 4 1/2 feet

= 4.5 feet

Total feet Sandy has = 38 feet

Does she have enough wood to make the border ?

Border of the triangular garden is the perimeter of the garden

Perimeter of a triangle = side A + side B + side C

= 16.4 feet + 16.4 feet + 4.5 feet

= 37.3 feet

Perimeter of a triangle = 37.3 feet

Lenth of wood remaining = Total length of wood - length used for border

= 38 feet - 37.3 feet

= 0.7 feet

Therefore, she has enough wood to make the border

HELP!!!! how many solutions does this linear system have?

Answers

Answer:

Yes. Your answer is correct. There is only one solution:. (1, -4).

Step-by-step explanation:

If you plug in 1 for x and -4 for y both sides of the equation are equal to each other. (Because the points are (x, y))

But any other answer is not right because when you plug in the answer the sides don't equal each other.

A. Explain why ABC and ADBE
are similar
B. What is the height of the building?


Answers

Step-by-step explanation:

This figure is not the best, but I'll try my best here

Since BC is parallel to BE (BC is part of BE) and BA is part of BD, two sides are  parallel, making two angles congruent and the triangles therefore similar.

Since BA correlates to BD (they are parallel), we can use the knowledge that BA is 7 and BD is 42 to find the scaling factor to be 42/7 =6 from ABC to DBE. Since BC correlates to BE, BC = 10, and the scaling factor is 6, BC*6=BE= 60 = height

i need help please!!!!!

Answers

i’m pretty sure the answer is statement 1. i’m so sorry if i’m wrong

Find the slope of the line.
у
4
3
(2,3)
-2
1
(0,0) 3 4 5x
5
slope =

Answers

Answer:

[tex]\displaystyle m=\frac{3}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{3-0}{2-0}[/tex]Subtract:                              [tex]\displaystyle m=\frac{3}{2}[/tex]

What is an Integer? for example the integer of 10​

Answers

Answer:

A whole number

Step-by-step explanation:

An integer is a whole number like 1, 2, 3. It could also be -1, -2, -3, or 0. 9.4 is not an integer. 10 is an integer.

Which equation, when graphed with the given equation, will form a system that has no solution?
y = 3x+6
y=-3(x+6)
y=-3(x-2)
y = 3(x-2)

Answers

Answer:

Y=-3(x+6)

Step-by-step explanation:

Did this on edge2020

Answer:

y = -3(x + 6)  and y = -3(x - 2)

Step-by-step explanation:

A system that has no solutions means that the lines do not intersect at any point meaning the lines are parallel to each other, and for lines to be parallel to each other the slope of the lines should be equal since parallel lines have same slope.

So the equation of the line in the graph is y = -3x + 6

and the equation when graphed will form a system that has no solution is

y = -3(x + 6)  and y = -3(x - 2)

both have same slope to the slope of the line graphed in the figure that is -3

question is above...

Answers

Answer: this isnt the answer but these ads are S****TY dont click on this 1

i can barely see it please send a different picture

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

i think its sas because iy states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles wre congruent

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