Find the value of A

Find The Value Of A

Answers

Answer 1

Answer:

a = 5

Step-by-step explanation:

Angles A and B are the same at 45, a and b are also the same

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

sin(A)/a = sin(B)/b = sin(C)/c

Substitute the known values into the law of sines to find a.

SinA / a = sin(90) / 5√2

a = 5


Related Questions

Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.

Answers

Answer: [tex]7\times 10^{-1}[/tex]

Step-by-step explanation:

Given

[tex](4.0\times 105)\div (5.89\times 102)[/tex]

First solve the brackets part in calculator, we obtain

[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]

please find Area of triangle

Answers

Answer:

60

Step-by-step explanation:

Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.

Cash in hand $79; Bank overdraft $27​

Answers

Answer:

Step-by-step explanation:

cash in bank = 79

overdraft = 27

left = 79 - 27

     = 52

help mi plzz.........​

Answers

tan3A=tan(2A+A)

We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))

tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)

We know that , tan2x=2tanx/(1 - tan^2x)

So, by substituting tan2A in (1),we get,

=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]

=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]

=[3tanA - tan^3A]/[1-3tan^2A]

Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]

The question is in the pic.

Answers

Answer:

$100

$120 in and $20 out

Step-by-step explanation:

Answer:

the answer is $100

because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money

A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.

Answers

Answer:

2p + 4b = 42

7p + 9b = 107

p = $5

b = $8

Step-by-step explanation:

p is cost of plant, b is cost of bush

2p + 4b = 42

7p + 9b = 107

First we'll solve the first equation for p in terms of b:

2p + 4b = 42

subtract 4b from both sides

2p = -4b + 42

divide both sides by 2

p = -2b + 21

Now substitute that value in for p in the second equation, and solve for a numerical value of b:

7(-2b + 21) + 9b = 107

-14b + 147 + 9b = 107

combine like terms:

-5b = -40

b = 8

Use this to go back and solve for p:

p = -2b + 21

p = -2(8) + 21

p = -16 + 21 = 5

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

check the math:

2p + 4b = 42

2(5) + 4(8) = 10 + 32 = 42

Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.

A. 8
B. 6
C. 5
D. 7

Answers

Answer:

Using the property of intersecting secant:-

[tex](DE)(CE)=(FE)(LE)[/tex]

[tex](4)(x-1+14)=(5)(x-4+5)[/tex]

[tex]4(x+3)=(5x+1)[/tex]

[tex]4x+12=5x+5[/tex]

[tex]4x+-5x=5-12[/tex]

[tex]-x=-7[/tex]

[tex]x=7[/tex]

[tex]So, CD=x-1=7-1=6[/tex]

[tex]so,~your ~answer ~is ~B) ~6[/tex]

----------------------------hope it helps...have a great day!!

By intersecting secants theorem, the measure of CD is 6 units.

What is intersecting secants theorem?

The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.

For the given situation,

The diagram shows the circle with the two secants intersecting at the exterior point.

By intersecting secants theorem,

[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)

Here, CE = CD + DE

⇒ [tex]CE = (x-1)+4[/tex]

DE = 4

LE = LF + FE

⇒ [tex]LE = (x-4)+5[/tex]

FE = 5

On substituting the above values in 1,

⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]

⇒ [tex](x+3)(4)=(x+1)(5)[/tex]

⇒ [tex]4x+12=5x+5[/tex]

⇒ [tex]5x-4x=12-5[/tex]

⇒ [tex]x=7[/tex]

Thus CD = [tex]x-1[/tex]

⇒ [tex]7-1=6[/tex]

Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.

Learn more about intersecting secants theorem here

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If Arnold charges $522.00 for a 4 personal training sessions (of an hour each)
a) What is his hourly rate?
b) How much would he charge for a 3 hour session?

Answers

Answer:

Hourly rate = 130.50

3-hour session = 391.50

Step-by-step explanation:

Part 1

Step 1: Divide the given figures

522.00/4 = 130.50

Step 2: Multiply the result to the number being looked for

130.50 * 1 = 130.50

So, Arnold’s hourly rate is 130.50

Part 2

Step 1: Multiply the answer found in part one to 3

130.50 * 3 = 391.50

Therefore, Arnold’s would charge $391.50 in a 3-hour session

one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.

Answers

Step-by-step explanation:

24$

I am stuck on this question.

Answers

Answer:

D. Yes; the graph passes the vertical line test.

Step-by-step explanation:

1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.

2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.

3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.

4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."

SOMEONE ONE PLEASE HELP

Answers

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

what is the value of the expression (-2 1/2 -7) -6 1/2

Answers

Answer:

-2

Step-by-step explanation:

If you need the work let me know but that should be correct! Good luck :)

Please help me!! I really need it!

Answers

Answer:

X= 7.5 Y=75

Step-by-step explanation:

Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .

Answers

Answer:

y = -4x + 17

Step-by-step explanation:

y = -4x + b

5 = -4(3) + b

5 = -12 + b

17 = b

What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2​

Answers

Answer:

-1/5

Step-by-step explanation:

i think thsts correct answer if not the answer is 1/2

Help! I got 3,593 but that doesn’t make sense

Answers

Because the number increase by a percentage this is an exponential growth problem.

The equation for exponential growth is :

Total = start value x ( 1 + percent) ^ time

Using the information from the problem:

2011-2005 = 6 years.

Total = 23 x (1 + 0.72)^6

Total = 23x 1.72^6

Total = 595.52 = 596 total people

What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?

Answers

Answer:

-7/3 +\- 1/3i

Step-by-step explanation:

15.
Which of the quadratic functions has the widest graph?

A. 0.3x2

B. -4x2

C. -4/5x2

D. 1/3x2

Answers

If I’m correct, I think A. 0.3x2 is the correct answer.

Answer:

A. 0.3x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

0.8

¯

3

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

0.8

¯

3

x

y

2

1.2

1

0.3

0

0

1

0.3

2

1.2

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

1

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

16

x

y

2

16

1

4

0

0

1

4

2

16

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

5

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

16

x

y

2

16

5

1

4

5

0

0

1

4

5

2

16

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

4

3

1

1

3

0

0

1

1

3

3

3

What is the factored form of 6n4 – 2413 + 18n?
ово
Bn(n° +4nº +31)
Bn(-° +30
6n(n°-4n2+3)
o Bn(n° +4n? +3)
O

Answers

the third option
6n(n3-4n2+3)

Option C is correct, 6n(n³-4n²+3) is the  factored form of expression 6n⁴ – 24n³ + 18n

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 6n⁴ – 24n³ + 18n.

Six times of n power four minus twenty four times of n cube plus eighteen times of n.

6n⁴ – 24n³ + 18n.

Now we have to find the factored form of 6n⁴ – 24n³ + 18n.

Take 6n as common

6n(n³-4n²+3)

Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n

To learn more on Expressions click:

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If the equation y=-5x+12 is translated up five units, what would the new equation be?

Answers

Answer:

y=-5x+17

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would add '5' to the y-intercept (12) to make a translation up 5 units.

y = -5x + 12 + 5

y = -5x + 17

Hope this helps.

Factor completely 25x^4y^6 − 1

Answers

Answer:

(5x2y3+1)(5x2y3−1)

Step-by-step explanation:

In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)

Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).

There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.​

Answers

Hope this helps :D
(The number or letter written inside is the number of cups)

Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?

This unit is operations and fractions how would I solve this?​

Answers

35 minutes. 1 3/4 hour would be converted to 105 minutes. And then one third of that is 35. So 35 minutes is your answer.

Answer:

7/12 h

Step-by-step explanation:

1/3 of 1 3/4  =  1/3 of 7/4 = 1/3 x 7/4  =  7/12 h

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Defined the explicit section for the sqeucrce in the table
Thank you

Answers

Answer:

B. Linear decreasing

Step-by-step explanation:

Answer:

Linear decreasing;

Straight line = linear

Slope downwards (from left to right) = decreasing function

What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2

Answers

Answer:

x = -2, y = 5/3

Step-by-step explanation:

we have the value of x already (-2).

x=-2

Plug it into the first equation y = 2/3x+3

y = 2/3(-2)+3

y = -4/3+3

y = -4/3+9/3

y = 5/3

x = -2, y = 5/3

are the triangle similar
1-yes
2-no

Answers

1 (yes)
Step by Step Explanation:
This is because the interior angle of any triangle adds up to 180 degrees. If two angles of the triangles are equal in the same angle, such as angles GOT and NUF are both 97. Additionally it can be pictured that if the triangle TOG were to be flipped 180 degrees, it would resemble triangle FUN

Answer:

yes the triangle are similar

If x + x = 9, then x =

Answers

X= 4.5 because 4.5+4.5=9

Answer: x = 4.5

Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.

  x + x = 9

  2x = 9

÷2    ÷2

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

 x = 4.5  

x + x = 9

4.5 + 4.5 = 9

Which of the following is a geometric sequence?
O A. 2, 4, 8, 16, 32
O B. 3, 6, 9, 15, 24
O C. 6, 13, 20, 27, 34
O D. 2,5,7,12, 19

Answers

answer: A.

explanation: multiply 2 x 2= 4 then 4 x 2= 8 then 8 x 2= 16 then 16 x 2= 32 so basically your just multiplying every number by the same exact number which is 2

Which expression is equivalent to - 5 over 3

Answers

Where are the answer choices?

2. What are the zeros of the function
f(x)=2x2 - 2x - 4?

Answers

Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

x(x+1)-2(x+1)

(x+1)(x-2)

x=-1 or 2

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