Solve each triangle using the information provided. If necessary, round to the
nearest tenth.

Answers

Answer 1

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

Related Questions

What is the volume of a sphere with a diameter of 23.5 in, rounded to the nearest
tenth of a cubic inch?

Answers

Answer:

V≈6795.2in³

Step-by-step explanation:

I think

Answer:

6795.2

Step-by-step explanation:

i got it right

HELLO, plz answer this. Ming won 121 lollipops playing basketball at her school's game night. Later, She gave 48 to each of her friends. She only has 9 remaining. How many friends does she have? Write an equation for this problem and solve it with steps.

Answers

Answer:

Ming has 2 friends

(121-9)÷48= 2.3

You can´t split apart people.

First subtract 9 from 121 then divide by 48 to find how man friends Ming has.

1 - 0.27
6
can you subtract this

Answers

Answer:

yes the answer would be 0.724

Whats the answer for this question guys???

Answers

Answer:

0.78539816

Step-by-step explanation:

hope this helped

Answer:

25m

Step-by-step explanation:

/_B=pie/4=45°

since we have /_C=90° then this triangle is a right isosceles triangle

so sides are equal

so a=b= 25 m

plsssss
do all of the questions and I give you brainlist .make sure they are right

Answers

Answer:

1) 6,000 B) 800 C) 4,000

2)7,500

3)third and fourth one

4)6,951

Step-by-step explanation:

just because

Answer:

1 a. 6043=6000 b. 789=1000 c. 3911=4000

2 7341 is a possible solution

3 350 6000 7900

4 6951

CAN SOMEONE PLEASE HELP FAST
Find the midpoint of the segment with the following endpoints.
(4, 2) (7, 6)

Answers

Midpoint = Average x and y
(4+7)/2 = 11/2 = 5.5
(2+6)/2 = 8/2 = 4
The midpoint is (5.5, 4)

PLEASEEEEE HELP! Drag the numbers to the correct locations in the equation. Each number can be used more than once, but not all numbers will be used. The average commute time, in minutes, in relation to the population, in millions, of 10 major cities is shown in the table. What is the square root equation that best models this set of data?

Answers

9514 1404 393

Answer:

[tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Step-by-step explanation:

A graphing calculator or spreadsheet can help you do the square root regression. See the attachment for the result.

[tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Caleb and his sister are combining their trading cards. He has 29 cards, and she has 16 cards. They then trade an equal number of cards to 9 friends. How many cards does each friend get?

Answers

Answer:

The answer is 5 cards.

Step-by-step explanation:

Yu have to add 29 and 16 . When yu do that yu get 45 cards total. Divide 45 by 9 (friends) yu get 5 cards per person.

is 6.610
irrational number?

Answers

Answer:

yes

Step-by-step explanation:

pls help ill give brainlist

Answers

Answer:

Step-by-step explanation:

The rise is 8 and run is 6

Answer:

The answer is J) y=-4/3x+8

If AC = 37 BC = 5x + 6, and AB = 2x + 3 Find BC

Answers

AC=37

BC=5X+6

AB=2X + 3

2x + 3 + 5x + 6 = 37

7x + 9 = 37

7x = 28

x = 4

BC = 5(4) + 6

BC = 26

Answer = BC = 26

Dustin says the product of 4.5 x 0.8 is equal to 3.6. Which explains whether or not his answer is correct

Answers

It is correct because if you were to multiply 4.5 and 0.8 together, you would get 3.6

Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?

Answers

85/10 = 8.5
The reads 8.5 pages each day

Answer:

8 1/2

Step-by-step explanation:

Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

Answers

Answer:

Step-by-step explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved

In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was . If the team scored 27 points from three-point baskets, how many three-point tries did the team have?

Answers

Answer:

36 attempts

Step-by-step explanation:

11/6 = 1/3 + p
(Find the common denominator first.)

Answers

Answer:

p = 3/2

Step-by-step explanation:

1.
What is the sum of the two solutions to the equation 3x2 - x = 4?

Answers

Answer:

The sum of the two solutions to the given equation is 1/3.

Step-by-step explanation:

Nature of Roots of a Second-Degree Equation

Given a quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The roots of the equation are:

[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]

The sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]

The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.

We are given the equation:

[tex]3x^2 - x = 4[/tex]

Rearranging:

[tex]3x^2 - x - 4=0[/tex]

The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]

[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]

The sum of the two solutions to the given equation is 1/3.

WILL GIVE BRAINLIEST NEED DONE ASAP
Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4), m= 2/3
2. (5, -3); m = 2
3. (6,0); m = 3/4
4. (-1, 2); m = 7
5. (-3,-5)m= 1/3
6. (4,0); m = -5

Answers

Answer:

y=2/3x-16/3

Step-by-step explanation:

ok ill show you how to do one question since the rest will take too long so what you do is

equation is y=mx+b right

so you have slope and these points (2,-4) and m=2/3

y=2/3x +b right

now all you do is sub in x and y which are ur given points

-4=2/3 (2) +b

now you solve for b

-4 = 4/3 + b

-4-4/3 = b

-12/3 - 4/3 = b

-16/3=b so therefore

y=2/3x-16/3

Here is working and answers
Hope it helps :)

Cody rented a bicycle from Cycle Factory for $65. How many hours did Cody rent the bike for if their cost is $16 to rent the bike plus $7 per hour?

Answers

Answer: Cody rented the bike for 7 hours.

Step-by-step explanation:

$65-$16=$49

$49/$7=7 hours

A factory makes
575,000
candies per day. If each machine in the factory produces the same amount of candies per day, and there are
20
machines in the factory, how many candies does each machine produce per day?

Answers

Answer:

Each machine would produce 28,750 candies per day. hope it helps

Which pair of complex numbers has a real-number product?

O (1 + 2i) (8i)

0 (1 + 2i) (2 - 5i)

O (1 + 2i) (1 – 2i)

O (1 + 2i)(4i)

Answers

Answer:

(1 + 2i)(1 - 2i)

Step-by-step explanation:

Multiplying a complex number and its conjugate results in a real number.

Thus

1 + 2i and 1 - 2i are conjugates

(1 + 2i)(1 - 2i) ← expand using FOIL

= 1 - 2I + 2I - 4I² [ note i² = - 1 ]

= 1 - 4(- 1)

= 1 + 4

= 5 ← a real number

Answer:

Step-by-step explanation:

Factorise fully
x2 - 42^2

Answers

Step-by-step explanation:

(x_42)(x+42)...

....

The answer is (x + 42)(x - 42)

2+46×8÷2= can someone find the answer

Answers

Answer:

186

Step-by-step explanation:

PEMDAS

First do 46 x 8 = 368 then divide that by 2, which would be, 184. Then add 2 to 184 and you get 186. :)

which one of the fractions is the smallest?

A) 1/2
B) 3/20
C) 3/8

pls help

Answers

3/20

hope this helps

1/2 is the largest
3/8 is the second largest
3/20 is the SMALLEST

Answer:

3/20

Step-by-step explanation:

just like the other person said

1/2 is the largest because it is 0.500

3/8 is the second largest because it is 0.375 and

3/20 is the smallest because it is 0.150

Have a nice day

A small company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation
C = 20/3x + 50band the revenue R, in dollars, made by selling x items is given by the equation R = 10x . The break-even point is the point where the cost and revenue equations intersect.

Graph the cost and revenue equations on the xy-coordinate plane provided. Select the "Line" tool. Plot two points, then a line will connect the points.

Answers

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The break-even point is on both curves. The y-intercept can be used for the other point in each case.

The break-even point is where cost and revenue are the same:

20/3x +50 = 10x

50 = 10/3x . . . . . . . . subtract 20/3x

15 = x . . . . . multiply by 3/10

r = c = 10(15) = 150 . . . . for x = 10

Two points you can use for graphing the lines are ...

cost: (0, 50) and (15, 150)

revenue: (0, 0) and (15, 150)

can y’all help i’m stuck i don’t understand

Answers

Answer:

C. x=2.5, DC=7.5, EC=15

Step-by-step explanation:

since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.

Now you can just do 2.5+5=7.5 so DC=7.5

What is the missing number in the solution to 958 ÷ 10?

Answers

Answer:

B.)58?

Step-by-step explanation:

Hope I helped..

Answer:

b: 58

Step-by-step explanation:

Original price: ?

Percent of discount: 25%

Sale price: $45

Answers

Answer:

Original price is 11.25

Step-by-step explanation:

Answer: 60

The percent of sale price is 100% - 25% = 75%

the original price is (45/75).100 = 60$

Step-by-step explanation:

Ms. Smith bakes 6 cookies in 15 minutes.
will it take her to bake 48 cookies?
How many hours

Answers

6 cookies/15 minutes

48/6= 8

8*15minutes= 120 minutes
120/60

2 hours = Answer

Answer:

120 minutes or 2 hours I think

Step-by-step explanation:

ok so you want to figure out how many hours it will take for her to bake 48 cookies. It takes 15 minutes to bake 6 cookies.

So 6x8=48 cookies.

Multiply 15 minutes times 8 since one batch of cookies (6) 15 minutes long and she wants to bake 48 cookies.

15x8=120

That's 120 minutes, but you want how many HOURS it takes.

there are 60 minutes on a hour so you will take 120 divided by 60

120/60= 2

To check, multiply 60x2= 120.

Hope this helps!

I LUV MATH TeeHee

i actually hate it-

Answers

lol samee
i hate it too

Answer:

I HATE MATH TeeHee

Step-by-step explanation:

i actually hate it-

ED GE NU IT Y PE OP LE

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Solve each triangle using the information provided. If necessary, round to the nearest tenth.

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Solve each triangle using the information provided. If necessary, round to the
nearest tenth.