In ABC, b = 68 inches, B=65° and C=93º. Find the length of a, to the nearest
inches

Answers

Answer 1

Answer:

28inches

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

∠A + 65° +93° = 180°

∠A + 158° = 180°

∠A= 180°-158° = 22°

Using Law of Sines

a/sinA= b/sinB

a/sin22= 68 inches/sin65

a/sin22 = 68/0.9063 = 75.03

a = 75.03 x sin 22

a = 75.03 x 0.3746 = 28.106238≈28 inches


Related Questions

What is / are the coefficients in this expressions? 3a+7-8n

Answers

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Please answer and show all work ​

Answers

Answer:

брате, заткнись, блядь, знай, хтось дбає про твої дивні тли

Step-by-step explanation:

what has to be the same in order to add fractions?

Answers

Answer: The denominator

Explanation: you can’t add 3/12 and 2/6. You would have to change it to 3/12 + 4/12.

5 of 5
Pip, Angad and Nick share some sweets in
the ratio 3:1:1. Pip gets 36 more sweets
than Nick. How many sweets are there
altogether?

Answers

Let ratio constant k
Pip: 3k
Angad: k
Nick: k
Pip gets 36 more than Nick
3k-k=36
k=18

All together:
3k+k+k
=5k
=5(18)
=90

Find the 20th number in the sequence I started: 5, 7, 15, 17, 25, 27... HELP FAST

Answers

Answer:

97

Step-by-step explanation:

5,7,15,17,25,27,35,37,45,47,55,57,65,67,75,77,85,87,95,97

Confused-
A liquid starts at a temperature of 210 degrees and cools in a room held at a constant 68 degrees. After 8 minutes of cooling, it is at a temperature of 97 degrees. The temperature, F, can be modeled as a function of time in minutes by the equation
F(t) = a(b)^t + c

Answers

It would be round 180 degrees

the number of squirrels in a park at the end of the month

Answers

Using the given recursive function, we have that:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

What is the recursive function for this problem?


The recursive function for this problem models the number of squirrels in the park at the end of month n+1, considering the amount present at the end of month n, as follows:

[tex]S_{n+1} = 1.6S_n - 30[/tex]

For this problem, we have that at the amount at the end of May is of 70, hence:

[tex]S_{5} = 70[/tex]

Hence, we find the amounts at the end of June, July and August, as follows:

[tex]S_6 = 1.6(70) - 30 = 82[/tex].[tex]S_7 = 1.6(82) - 30 = 101[/tex].[tex]S_8 = 1.6(101) - 30 = 132[/tex].

Hence:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

More can be learned about recursive functions at https://brainly.com/question/489759

#SPJ1

You have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long. How many feet of streamers do you have left?

Answers

Answer:

48

Step-by-step explanation:

If we have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long then 48 feet of streamers we left.

What is Unit of Measurement ?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that we have a 84 feet of streamers.

You cut 24 pieces that are each 1/2 yard long.

Need to find the feet of streamers we left.

We know that 1 yard is equal to 3 feet.

Therefore, 1/2 yard is equal to 1.5 feet.

The total length of the streamers that were cut is:

24 pieces x 1.5 feet/piece = 36 feet

To find out how much streamer is left, we can subtract the length of the cut streamers from the total length we started with:

84 feet - 36 feet = 48 feet

Therefore, you have 48 feet of streamers left.

To learn more on Unit of Measurement click:

https://brainly.com/question/14026238

#SPJ2

Help! Will mark brainliest to whoever puts the answer first!

Answers

Answer:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

PLEASE HELP!! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

Answer:

[tex]E(x) = 99[/tex]

Step-by-step explanation:

Given

The attached table

Required

Number of times 3 or 4 will occur

First, we complete the table as follows:

[tex]P(1) + P(2) +......+P(6) =1[/tex]

[tex]0.13 + 0.05 + P(3) + 0.21 + 0.19 + 0.3 = 1[/tex]

Collect Like Terms

[tex]P(3)= 1 -(0.13 + 0.05 + 0.21 + 0.19 + 0.3 )[/tex]

[tex]P(3)= 0.12[/tex]

The expected number of times is:

[tex]E(x)= n * P(x)[/tex]

So, we have:

[tex]E(x) = 300 * (0.12 + 0.21)[/tex]

[tex]E(x) = 300 * (0.33)[/tex]

[tex]E(x) = 99[/tex]

PLEASEE MY LAST POINTS!!!!!! PLEASE HELP :(

Answers

I’m not sure it’s A or C

table represents a quadratic function?
Which

Answers

Answer: third graph -4,2 -2,-7

Step-by-step explanation:

Can someone help me out with this question? Thanks

Answers

Answer:

160

Step-by-step explanation:

vertical angles

Answer:

its 80

Step-by-step explanation:

because of vertical angles the 160 is the same for the other side so you subtract the 80

Can you answer plz
у = х + 3
у =-2x-3

Answers

Answer:

x = - 2, y = 1

Step-by-step explanation:

Comparing both the equations,

→ y = y → x + 3 = - 2x - 3

=> x + 3 = - 2x - 3

=> x + 2x = - 3 - 3

=> 3x = - 6

=> x = - 6/3 = - 2

Substitute the value of x in any of these:

=> y = x + 3 = - 2 + 3 = 1

Answer:

Step-by-step explanation:

If a solution exists for the system of equations y=y so we can say

x+3=-2x-3 Add 2x to each side

3x+3=-3 Subtract 3 from each side

3x=-6. Divide each side by 3

x=-2, since y=x+3

y=-2+3

y=1

So the solution to the system of equations is the point (x,y)=(-2,1)

Find the slope hurryyy

Answers

Answer:

-5

Step-by-step explanation:

Answer:

The slope is -5

Step-by-step explanation:

hope it helps....

have a great day!!!

Graph the system of equations, and determine the
solution.
X + 5y = 10
2x + 10y = 50
Use the graphing tool to graph the system,

Answers

Answer:

First one is 2. The second one is 5.

Step-by-step explanation:

1/8 + 3/4 in its simplist form​

Answers

Rewrite 3/4 to have the same denominator as 1/8.

3/4 = 6/8

Now you have 1/8 + 6/8 = 7/8

The answer is 7/8

Can anyone help me with this please?
Do not answer if you do not know.

Answers

Answer: a

Step-by-step explanation:

How do I know where to put numbers on a graph

Answers

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

Mr. Enriquez has used 4 1/8 bags of top soil in his backyard.
Each bag covers 180. 5 ft square. How many square feet was
he able cover with the bags he used?

Answers

Answer:

744.5625

Step-by-step explanation: First divide 1 by 8 getting 0.125 then add it by 4 then multiplying 180.5

HELP ILL GIVE BRAINLIEST
In a class of 40 students, 75% of the students
turned in their assignments. How many
students did NOT turn in their assignments?

Answers

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

hello can someone pls help me? its 8th grade math :]
"simplify the expression, write answer using a positive expression"
(3/7)^-7 x (3/7)^-1 % (3/7)^3=( ? )(^?)

thanks so much!

Answers

i think 7/3 ^5 lolllllllllllllllllllll

The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
By thinking about the radius or otherwise, determine the gradient of the line l.

Answers

Given:

The equation of a circle is

[tex]x^2+y^2=169[/tex]

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

[tex]m_1=\dfrac{5-0}{12-0}[/tex]

[tex]m_1=\dfrac{5}{12}[/tex]

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times \dfrac{5}{12}=-1[/tex]

[tex]m=-\dfrac{12}{5}[/tex]

Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .

someone please help, I need to construct a triangle with a perimeter of 125mm and having sides in the ratio 2:3:4. I don't understand ratios​

Answers

Answer:mass CO2 = (mass AS) - (final mass)

Step-by-step explanation:

How many inches are in 7 and 1/2 feet?

Answers

Answer:

90 inches

Step-by-step explanation: 7 feet*12 inches= 84 and .5 feet*12 inches= 6.

84 inches+ 6inches=90inches

Answer: 1.2ft × 12

= 14.4"

Step-by-step explanation:

GIVE ME DA BRAINS

If nkf ~ lzf, find nf, please help me with this it’s due tmr!!!!

Answers

Answer:

NF = 25

Step-by-step explanation:

Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.

This means that:

KF/ZF = NF/LF

KF = x + 3

ZF = 4

NF = 15 + x + 3 = x + 18

LF = x + 3

Plug in the values into the equation

(x + 3)/4 = (x + 18)/(x + 3)

Cross multiply

(x + 3)(x + 3) = (x + 18)(4)

x² + 3x + 3x + 9 = 4x + 72

x² + 6x + 9 = 4x + 72

x² + 6x + 9 - 4x - 72 = 0

x² + 2x - 63 = 0

Factorize to find x

x² + 9x - 7x - 63 = 0

x(x + 9) -7(x + 9) = 0

(x + 9)(x - 7) = 0

x + 9 = 0 or x - 7 = 0

x = -9 or x = 7

We'd use the positive value of x, which is 7.

Therefore, x = 7.

✅NF = 15 + (x + 3)

Plug in the value of x

NF = 15 + (7 + 3) = 15 + 10

NF = 25

p(x)= 4x^3 -3x^2+5x-2​

Answers

Answer:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

What is the size of angle s !!

Answers

The sum of the angles of a quadrilaterals is 360 so 8s=360 s=45

-3.5(x+9). URGENT : SHOW ALL STEPS PLEASE

Answers

Answer:

-3.5x - 31.5

Step-by-step explanation:

-3.5(x+9)

= -3.5x + -3.5(9)

= -3.5x - 31.5

The ratio of sixth-grade students to fifth-grade students in the Kirkpatrick Elementary school band is 5:4. If there are 20 fifth-grade students in the band how many sixth-grade students are in the band?

Answers

Answer: 25 sixth graders

Step-by-step explanation:

Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.

To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:

5                   :            4

x                    :            20

4x = 100

x = 100 / 4

x = 25 sixth graders

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