In ΔRST, r = 3.9 inches, s = 5.6 inches and t=6.1 inches. Find the measure of ∠S to the nearest 10th of a degree.

Answer:

$121.25

Step-by-step explanation:

97 X 1.25 = 121.25

Answer:

8

24 divided by 8 =3

32 divided by 8 =4

Answer:

10/12?

Step-by-step explanation:

Answer:

x = 46

Step-by-step explanation:

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10 and simplify

x - 36 = 10

x = 46

Hope this helps!

The value of x is 46.

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10

First, let's move the term with 3x to the left side by subtracting 3x from both sides:

4x - 3x - 36 = 3x - 3x + 10

Simplifying further:

x - 36 = 10

Next, let's move the constant term -36 to the right side by adding 36 to both sides:

x - 36 + 36 = 10 + 36

Simplifying further:

x = 46

Therefore, the value of x is 46.

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Answer:

B.

I and II

Step-by-step explanation:

The loan or loans listed below are awarded based on the financial need of the student are the Perkins loan and subsidized Stafford loan. Option B. This is further explained below.

Generally, a loan is simply defined as a borrowed object, especially a quantity of money that is anticipated to be repaid with interest.

In conclusion, The Perkins loan and subsidized Stafford loan are two loans that are provided depending on the student's financial need.

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Answer:

EG is 19 units

Step-by-step explanation:

Let us solve the question

∵ Lines CD and EF intersected at point G

∴ CD = CG + GD

∴ EF = EG + GF

∵ Line EF bisects line CD

→ That means G is the midpoint of CD

∴ CG = GD

∵ CG = 5x -1

∵ GD = 7x - 13

→ Equate them to find x

∴ 7x - 13 = 5x -1

→ Add 13 to both sides

∴ 7x -13 + 13 = 5x - 1 + 13

∴ 7x = 5x + 12

→ Subtract 5x from both sides

∴ 7x - 5x = 5x - 5x + 12

∴ 2x = 12

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]

∴ x = 6

∵ EF = 6x - 4

→ Substitute x by 6 to find its length

∴ EF = 6(6) - 4 = 36 - 4

∴ EF = 32

∵ EF = EG + GF

∵ GF = 13

∴ 32 = EG + 13

→ Subtract 13 from both sides

∵ 32 - 13 = EG + 13 - 13

∴ 19 = EG

∴ EG = 19 units

Answer:

Its perimeter is 23 units

Step-by-step explanation:

The perimeter of any figure is the sum of the lengths of its outline sides

The rule of the distance between two points is:

In the given figure ABCD:

Its perimeter = AB + BC + CD + DE + EA

→ Find the length of each side using the rule above

A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1), E = (2, -4)

→ Substitute them in the rule above to find the lengths of its sides

[tex]AB=\sqrt{(-1--4)^{2}+(2--2)^{2}}=\sqrt{(-1+4)^{2}+(2+2)^{2}}\\\\=\sqrt{(3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}[/tex]

∴ AB = 5

[tex]BC=\sqrt{(2--1)^{2}+(2-2)^{2}}=\sqrt{(2+1)^{2}+(0)^{2}}\\\\=\sqrt{(3)^{2}+0}=\sqrt{9+0}=\sqrt{9}[/tex]

∴ BC = 3

[tex]CD=\sqrt{(5-2)^{2}+(-1-2)^{2}}=\sqrt{(3)^{2}+(-3)^{2}}\\\\=\sqrt{9+9}=\sqrt{18}[/tex]

∴ CD = [tex]\sqrt{18}[/tex]

[tex]DE=\sqrt{(2-5)^{2}+(-4--1)^{2}}=\sqrt{(-3)^{2}+(-4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(-3)^{2}}=\sqrt{9+9}=\sqrt{18}[/tex]

∴ DE = [tex]\sqrt{18}[/tex]

[tex]EA=\sqrt{(-4-2)^{2}+(-2--4)^{2}}=\sqrt{(-6)^{2}+(-2+4)^{2}}\\\\=\sqrt{(-6)^{2}+(2)^{2}}=\sqrt{36+4}=\sqrt{40}[/tex]

∴ EA = [tex]\sqrt{40}[/tex]

→ Add them to find the perimeter of the figure ABCDE

∴ Its perimeter = 5 + 3 + [tex]\sqrt{18}[/tex] + [tex]\sqrt{18}[/tex] +[tex]\sqrt{40}[/tex] ≅ 22.8098

→ Round it to the whole number

∴ Its perimeter = 23 units

Answer:

55% of the students surveyed said their favorite color was blue

Step-by-step explanation:

[tex]\frac{209}{380}[/tex] as a percent = 55%, or 0.55 in decimal form.

Answer:

snacks, the reason being that it can be anything

Step-by-step explanation:

Answer:

Donuts

Step-by-step explanation:

The donuts are specifically tastier than the options mentioned

Answer: It changes the slope from positive to negative.

Step-by-step explanation:

Answer:

I am sure it's 2

Step-by-step explanation:

Source: Trust me bro

Answer:

The answer is 2 because 1 plus 1 is like having 2 things

Answer:

this question is wrong

Answer:

x=4

y=3

Step-by-step explanation:

12X + 16y = 96--(1)

12X + 48y = 192---(2)

(2)-(1),

12x + 48y - (12x+ 16y)= 192- 96

12x + 48y - 12x - 16y = 96

32y = 96

y= 96÷32

y =3

substituting y=3 in (1),

12x +(16×3) = 96

12x + 48 = 96

12x = 96-48

12x = 48

x= 48÷12

x= 4

Hope this helps!

Answer:

Kyle has 25 postcards

Step-by-step explanation:

Joanna has 45 postcards in her collection, which is 180% of the number of postcards of Kyle.

If the number of postcards of Kyle is K, and the number of postcards of Joanna is J, then:

J=180% K

Recall a percentage can be expressed in decimal by dividing by 100:

J=180/100*K

To find the value of K, we solve the above equation:

K=100/180*J

Since J=45:

K=100/180*45=25

Kyle has 25 postcards

Hey there!

Calculating the exterior angles of regular polygons

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Answer:

Q4 part d

Q5 part c

Step-by-step explanation:

Answer:

A. X =8

Step-by-step explanation:

5/X=12.5/20

cross multiply

12.5X = 20*5

12.5X=100

X=100/12.5

X=8

Answer:

1 3/8 cups

Step-by-step explanation:

the equation is 5/8 + 3/4

to figure it out we need the same denominator, we'll be choosing 8

3 (x2)/ 4 (x2) = 6/8

you would have to multiply 2 both on the top and bottem

then you would have to add

5/8 + 6/8 = 11/8

then make that into a whole fraction

11/8 = 1 3/8

Answer:

37/4

Step-by-step explanation:

1/8 + 1/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 2 = 3/8 + 3/2 + 13/4 + 33/8 = 37/4

Answer:

Club A charges $4 per car and club B charges $4 also

Step-by-step explanation:

Answer:

Yes,

Step-by-step explanation:

Club A charges $4 per car and club B charges $4 also

Answer:

The number should be 12.

Step-by-step explanation:

We can form a simple equation and solve for the variable:

2x - 7 = 17

2x = 24

x = 12

Answer:

depth of -117 feet

Step-by-step explanation:

24 hours 72 feet, so one hour 72/24 = 3 feet

after 15 hours, another 3*15 = 45 feet, so the depth become 72 + 45 = 117 feet

Answer:

-3

Step-by-step explanation:

[tex]\downdownarrows\\ -\left|-3\right|[/tex]

Calculate the absolute value

[tex]-3[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

The given relationships allow us to write a system of equations in the speeds of the wind and plane.

Let w and p represent the speeds of the wind and the plane, respectively. We know speed is the ratio of distance to time, so ...

  p -w = 6300 km/(7 h) = 900 km/h

  p +w = 8400 km/(6 h) = 1400 km/h

__

Adding these two equations gives ...

  2p = 2300 km/h

  p = 1150 km/h . . . . . . divide by 2

Subtracting the first equation from the second gives ...

  2w = 500 km/h

  w = 250 km/h

The speed of the plane in still air is 1150 km per hour; the speed of the wind is 250 km per hour.

9514 1404 393

Answer:

Step-by-step explanation:

The given inequality is in vertex form:

  y = a(x -h)^2 +k . . . . . . has vertex (h, k)

so the vertex can be read from the given expression.

  y > (x +2)^2 -1   ⇒   (h, k) = (-2, -1) . . . the vertex

The leading coefficient (+1) is positive so the parabola opens upward.

__

The y > ( ) tells you the boundary line is dashed (is not part of the solution). It also tells you the shading is above the curve, hence inside the parabola.

The two offered points (0, 0), (2, -3) are NOT part of the solution set.

Answer:

1050

Step-by-step explanation:

So, we know 4/5 of a gallon can paint 280ft^2, but we don't know how much each gallon can paint, so to find x, do this

4/5x=280ft^2, next multiply both sides by 5/4 to get x by itself

x=350

Now multiply x by 3 to get your new answer.

350*3=1050

Hope this helps, feel free to leave any questions.

Answer:

[tex]y(x)=\frac{5}{3\pi}-\frac{5\pi}{27+3\pi^2}e^{-3x}-\frac{15}{9\pi+\pi^3}cos(\pi x)-\frac{5}{9+\pi^2}sin(\pi x)[/tex]

Step-by-step explanation:

[tex]y''+3y'+2y=5sin(\pi x),\: y(0)=y'(0)=0\\\\\mathcal{L}\{y''\}+3\mathcal{L}\{y'\}+2\mathcal{L}\{y\}=\mathcal{L}\{5sin(\pi x)\}\\\\s^2Y(s)-sy(0)-y'(0)+3[sY(s)-y(0)]+2Y(s)=\frac{5\pi}{s^2+\pi^2}\\\\s^2Y(s)+3sY(s)=\frac{5\pi}{s^2+\pi^2}\\ \\(s^2+3s)Y(s)=\frac{5\pi}{s^2+\pi^2}\\ \\Y(s)=\frac{5\pi}{(s^2+\pi^2)(s^2+3s)}\\ \\Y(s)=\frac{5\pi}{s(s+3)(s^2+\pi^2)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{5 \pi}{s \left(s + 3\right) \left(s^{2} + \pi^{2}\right)}=\frac{A}{s}+\frac{B}{s + 3}+\frac{C s + D}{s^{2} + \pi^{2}}\\5\pi=s \left(s + 3\right) \left(C s + D\right) + s \left(s^{2} + \pi^{2}\right) B + \left(s + 3\right) \left(s^{2} + \pi^{2}\right) A\\\\5 \pi=s^{3} A + s^{3} B + s^{3} C + 3 s^{2} A + 3 s^{2} C + s^{2} D + \pi^{2} s A + \pi^{2} s B + 3 s D + 3 \pi^{2} A\\\\5\pi=s^3(A+B+C)+s^2(3A+3C+D)+s(\pi^2A+\pi^2B+3D)+3\pi^2A[/tex]

Solve for each constant

[tex]\begin{cases} A + B + C = 0\\3 A + 3 C + D = 0\\\pi^{2} A + \pi^{2} B + 3 D = 0\\3 \pi^{2} A = 5 \pi \end{cases}[/tex]

[tex]3\pi^2A=5\pi\\A=\frac{5}{3\pi}[/tex]

[tex]A+B+C=0\\3A+3B+3C=0\\(3A+3B+3C=0)-(3A+3C+D=0)\\3B-D=0\\3B=D[/tex]

[tex]\pi^2A+\pi^2B+3D=0\\\pi^2(\frac{5}{3\pi})+\pi^2B+3(3B)=0\\\frac{5\pi}{3}+\pi^2B+9B=0\\ B(\pi^2+9)=-\frac{5\pi}{3}\\B=-\frac{5\pi}{3(\pi^2+9)}\\B=-\frac{5\pi}{3\pi^2+27}[/tex]

[tex]3B=D\\3(-\frac{5\pi}{3\pi^2+27})=D\\-\frac{5\pi}{\pi^2+9}=D[/tex]

[tex]A+B+C=0\\\frac{5}{3\pi}-\frac{5\pi}{3\pi^2+27}+C=0\\\frac{15\pi^2+135}{3\pi(3\pi^2+27)}-\frac{15\pi^2}{(3\pi)(3\pi^2+27)}+C=0\\\frac{135}{9\pi^3+81\pi}+C=0\\\frac{15}{\pi^3+9\pi}+C=0\\C=-\frac{15}{\pi^3+9\pi}[/tex]

Take the inverse transform and solve for the IVP

[tex]Y(s)=\frac{\frac{5}{3 \pi}}{s}+\frac{- \frac{5 \pi}{27 + 3 \pi^{2}}}{s + 3}+\frac{- \frac{15 s}{9 \pi + \pi^{3}} - \frac{5 \pi}{9 + \pi^{2}}}{s^{2} + \pi^{2}}\\\\Y(s)=\frac{\frac{5}{3 \pi}}{s}-\frac{\frac{5 \pi}{27 + 3 \pi^{2}}}{s + 3}-\frac{ \frac{15 s}{9 \pi + \pi^{3}}}{s^{2} + \pi^{2}}-\frac{\frac{5\pi}{9+\pi^2} }{s^2+\pi^2}\\ \\y(x)=\frac{5}{3\pi}-\frac{5\pi}{27+3\pi^2}e^{-3x}-\frac{15}{9\pi+\pi^3}cos(\pi x)-\frac{5}{9+\pi^2}sin(\pi x)[/tex]

Answer:

-5 -6 = -11

You start at -5 and move to the left by 6 spaces until you get to -11 :)

Hope this helps!

Have a good day!

Please rate and mark brainliest!!

Answer:

D. 0.05

Step-by-step explanation:

5 x 10 = 50

50 as a decimal

0.5

The quotient after division is 322 and the remainder is 20.

Long division is the mathematical method for dividing large numbers into smaller groups or parts.

Given that, 342 ÷ 23​,

When we will divide 342 by 23, we will get,

The quotient 322 and the remainder is 20.

Hence, the quotient after division is 322 and the remainder is 20.

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