In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.

Answers

Answer 1

Answer:

There is no possible value for P

Step-by-step explanation:

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree

We solve using the law of sines

p/sin P = r/sin R

7.6/sin P = 3.5/sin 160

Cross Multiply

sin P × 3.5 = 7.6 × sin 160

sin P = 7.6 × sin 160/3.5

P = arc sin (7.6 × sin 160/3.5)

There is no possible value for P


Related Questions

(a) An angle measures 29°. What is the measure of its supplement?
(b) An angle measures 42°. What is the measure of its complement?

Answers

(a) 151 degrees (supplementary angles add to 180’)

(b) 48 degrees (complementary angles add to 90’)

Factor the following expression completely. 6x^2 — 3x-8x+4​

Answers

6x² — 3x-8x+4

3x(2x-2)-4(2x-1)

(3x-4)(2x-1)

Answer:

( 3x - 4 ) ( 2x - 1 )

Step-by-step explanation:

➛ 6 x ² - 3x - 8 x + 4

➛ 3 x ( 2 x - 1 ) - 4 ( 2 x - 1 )

➛ ( 3 x - 4 ) ( 2 x - 1 )

Helppp meee please!!

Answers

Vertical stretch

Hope this helps! :)

Vertical stretch ununinin

Which statements about the graph are true? Check all that apply.

Answers

Answer:

is there a picture you can show me?

Step-by-step explanation:

what is the simplify answer to 4 3/5 + 15 ÷ 1/5 =​

Answers

Answer:

79.6

Step-by-step explanation:

4 3/5+15÷1/5

23/5+15÷1/5

4.6+15÷0.2

4.6+75

79.6

You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.​

Answers

Answer:

5 jump shots.

Step-by-step explanation:

Let l = number of layups and j = number of jump shots

l + 2j = 21

11 + 2j = 21

2j = 10

j = 5

5 jump shots are needed to win the game and not go over 21 points.

What is an equation of the line that passes through the points (3, -3) and (6, -1)?​

Answers

Start by finding the slope using m = (y2 - y1)/(x2 - x1). Substituting in you get (-1 + 3)/(6 - 3). So m = 2/3

Next, use y - y1 = m(x - x1) and substitute any of the coordinates in: y + 3 = 2/3(x - 3). That gives you y + 3 = (2/3)x - 2. So tha final answer is y = (2/3)x -5

FASTTTTT
FIND THE AREA OF THE SHADED REGION​

Answers

Answer:

A =28 pi cm^2

Step-by-step explanation:

First find the area of the larger circle

A = pi r^2

A = pi (8)^2

A = 64 pi

Find the area of the smaller circle

A = pi r^2

A = pi 6^2

A = 36 pi

The shaded area is the larger circle minus the smaller circle

A shaded = 64 pi - 36 pi

A =28 pi cm^2

28 pi is the correct answer. Subtract the larger area which is 64 pi by the smaller which is 36 pi and you get 28 pi

If x^4-y^4=45 and x^2-y^2=5, then x^2+y^2=?
A. 9
B. 15
C. 20
D. 40
E. 50

Answers

Answer:

here u go

Step-by-step explanation:

i got a

Answer:

x^2 + y^2 = 9

What is the difference of square formula (a ^ 2 - b ^ 2)?

It is used to find the difference between the two squares without actually calculation the square.

a^2 - b^ 2 = (a-b) (a +b)

x^4 - y^4 = 45

(x^2)^2 - (y ^2) ^ 2 = 45

(x^2 - y^ 2) (x^2 + y^2) = 45

5 (x^ 2 + y ^ 2) =45

x^2 + y^2 = 9

correct option is  A ) 9

Learn more about  difference of square formula

https://brainly.com/question/13647939?referrer=searchResults

#SPJ2

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

angle B is 33 degree

Step-by-step explanation:

let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)

x+x+48=180 degree(sum of interior angles of a triangle)

2x=180-48

x=132/2

x=66

therefore angle A and Angle D is 66 degree

angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)

66+48=exterior angle D

114 = exterior angle D

In triangle DCB

let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)

y+y+114=180 degree(sum of interior angles of a triangle )

2y=180-114

y=66/3=2

y=33 degree

therefore angle B is 33 degree

If ∠a = 85°, what does ∠b equal?

Answers

Answer:

the mesurement of angle b is°

How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many

Answers

Answer: C. Infinity many

n⋅(17+x)=34x−r solve for x

Answers

the answer to x in this question is
i hope this helped:)

Answer:

x= -r-17n

     n-34

thats a fraction btw

Simplify the following expression (a³b)⁴

Answers

Answer:

a¹²b⁴

Step-by-step explanation:

When terms with exponents are multiplied, the exponents multiply.

(a³b)⁴ = a¹²b⁴

Answer: a^12b^4

Step-by-step explanation:

(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4

can someone pls answer and explain this correctly?

Answers

Answer:

[tex]6^4[/tex]

Step-by-step explanation:

All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.

First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]

After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].

Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]

Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.

Answer:

6^4 is equivalent to 3^4 x (2^2)^2

Step-by-step explanation:

3^4 x (2^2)^2                  6^8 = 1679616

  3^4 x (4)^2                    6^4 = 1296

     81 x 16                       5^4 = 625

         1296                       5^8 = 390625

Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).

i neeeddd this pleaseee and thank u

Answers

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

Find the sum of the first 7 terms of the following series, to the nearest integer.
125,50, 20, ...

Answers

Answer:

[tex]r = 2.5 \\ sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ = \frac{125( {2.5}^{7 - 1} )}{7 - 1} \\ = \frac{30517.6}{6} \\ = 5086.3[/tex]

hi pls help me out with this

Answers

A = S^2 = 12^2 = 144 m^2

The answer ISN’T -9/5,3.

Don't have to explain, but if u want then to ahead.

Thank you! :)

Answers

Answer:  [-1.8, 3]

Don't forget the square brackets.

=============================================

Work Shown:

[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]

note 1: I added 3 to all sides to undo the "-3" in the middle.

note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).

--------------------

From there, we convert from compound inequality notation to interval notation.

Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]

The square brackets say to include the endpoint.

So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]

x is any real number between -1.8 and 3, including both endpoints.

----------------------

It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.

If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]

What is 5x^3 - 15x^2 factored, completely?

Please show all the work!!

Answers

Answer:

5x²(x - 3)

Step-by-step explanation:

Factor out 5x²

5x²(x - 3)

Answer:

The answer is [tex]5x^{2} (x-3)[/tex].

Step-by-step explanation:

To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].

Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].

Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].

(x-8)^2+(y+4)^2=12 find the coordinates of the center and the Measure of the radius for a circle

Answers

Answer:

Center: (8, -4)

Radius: 2√3

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center-Radius Equation: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Identify

(x - 8)² + (y + 4)² = 12

(h, k) = (8, -4)

r² = 12 → r = √12 = 2√3

The probability that austin's company uses the local shipping service for a package is 0.650. The probability that the local shipping service will deliver the package on time is 0.980. If a package is selected at random from austin's company, what is the probability that she uses the local shipping service and that the package will not be delivered on time?

Answers

Answer:

0.013

Step-by-step explanation:

First, work out the probability that the package won't be on time:

1 - 0.980 = 0.020

Then, multiply this amount with the probability the company will choose the local shipping service:

0.650 x 0.020 = 0.013

22. Jordan invests $1000 in an account that pays 7% interest compounded continuously. To the nearest cent, how much will be in the account at the end of 3 years? Use A = Pe! $1233.68
$4352.05
$6122.97
$8166 17​

Answers

Answer:

The formula to find interest over time is I=PRK

so 210=1000*0.07*3

add 210 to 1000 and we get  1210 so  idontknow now now the the answers make any since s0rry

can someone help please...

Answers

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

Can some solve this and explain how they solved it for both process

Answers

Answer:

1=27 2= -1

Step-by-step explanation:

if three watermelons equal 60 divide that by 3 to get 20. 30 minus 20 will get you what the strawberries together make so divide by two to get 5. After subtract 5 from 3 to get -2 and since you did it in reverse think of it as a positive. So that equals 1. 20 + 1 + 7 is 27. For number two start at the bottom with the clovers since its only clovers.divide 12 by 3 to get 4. Then go up to the second equation 31-16 is 15. After divide by 3 and get 5. Then go to the next equation and do the same thing, add the sunflowers and then subtract the sum from both sides. 40 - 10 is 30. 30 divided by 3 is ten. After go to the last one. 5 - 10 + 4 is -1.

Who knows the answer fr cause everybody keep giving the wrong answer

Answers

I think it''s Angle APD.

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K’(2,5)
K’(-2,-5)
K’(-5,2)
K’(2,-5)

Answers

K' (-2,-5) if it's rotated 90 clockwise but if it's anti-clockwise it will be K'(5,2)

Solve the given portion x/4 3/6

Answers

[tex]\sf\purple{x\:=\:2}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{x}{4} = \frac{3}{6} \\ \\ ➪ \: x = \frac{1 \times 4}{2} \\ \\ ➪ \: x = \frac{4}{2} \\ \\ ➪ \: x = 2[/tex]

Therefore, the value of [tex]x[/tex] is 2.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{x}{4} = \frac{3}{6} \\ \\➪ \: \frac{2}{4} = \frac{3}{6} \\ \\ ➪ \: \frac{1}{2} = \frac{1}{2} \\ \\➪ \: L.H.S.=R. H. S [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Find the 12th term of the geometric sequence 8, 16, 32...

Answers

Answer:

a₁₂ = 16384

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then

a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384

Answer:

16384

Step-by-step explanation:

We know that this is geometric sequence meaning we are multiplying the term before by a constant number.

We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.

Terms:

We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.

We can write this equation. 8 x 2 ^ (n-1)

n is the term number.

This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.

Answer:

Let's plug in our numbers!

8 x 2 ^ (12 - 1)

I use twelve because we're trying to figure out the 12th term.

8 x 2 ^ 11 = 16384

If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck

JoeLouis2

Math problem please

Answers

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