Mathematics College

Acellus
Find all the missing elements:
B
C
a
B = 32°
C = 125°
a = 7
Α'
b C
A = [?]° b = [ ] c = [ ]
Enter

AcellusFind All The Missing Elements:BCaB = 32C = 125a = 7'b CA = [?] B = [ ] C = [ ]Enter

Answers

Answer 1

Answer:

A = 23°

B = 9.5

C = 14.7

Step-by-step explanation:

Right Answers :)

Answer 2

The missing values are:

A = 23°

b = 9.5

c = 14.72

What is obtuse triangle?

"It is a triangle whose one of the angles measure greater than 90° and other two acute angles."

What is law of sines?

"The ratio of the length of a side of a triangle to the sine of the angle opposite to that side is the same for all sides and angles in a given triangle."

For given question,

We have been given an obtuse triangle ABC.

Here, ∠B = 32°

∠C = 125°

We know that the sum of all angles of  a triangle is 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + 32° + 125° =180°

⇒ ∠A = 23°

Using the law of sines to triangle ABC,

[tex]\Rightarrow \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC} \\\\\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} =\frac{c}{sin125^{\circ}}[/tex]

Consider,

[tex]\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{b}{0.53} \\\\\Rightarrow 7\times 0.53=b\times 0.39\\\\\Rightarrow b = 9.5[/tex]

Now we find the length of the side AB.

[tex]\Rightarrow \frac{7}{sin23^{\circ}} =\frac{c}{sin125^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{c}{0.82} \\\\\Rightarrow 7\times 0.82=c\times 0.39\\\\\Rightarrow c = 14.72[/tex]

Therefore, the missing values are:

A = 23°

b = 9.5

c = 14.72

Learn more about the law of sines here:

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Related Questions

III
4.09 Unit Test: Lines - Part 1
What is an equation in point-slope form for the line that passes through the points (4, -1) and (-3,4)?
A.y+4= -(0+3)
B.y-3= -(x+4)
C.y+4= (x+3)
D.y-4= -(x+3)
Quick please

Answers

Answer:

D.y-4=-5/7(X=3)

Hope this helps!!!

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A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, and each player needs to save the same amount.

How much money does each player need to save?

A
$9.86

B
$98.60

C
$798.66

D
$788.66

Answers

Answer: A

Step-by-step explanation: $88.74÷9=$9.86

$88.74 is the total amount

9 players, and each player has to pay the same amount

we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86

Hope this helps!

At the start of a trip, a car’s gas tank contains gallons of gasoline. During the trip, the car consumes 1⁄8 gallons of gasoline. How much gasoline is left in the tank? Please explain thoroughly.

Answers

Answer: (7/8)x gallons

Explanation:

Let x be the amount of gasoline at the start of the trip.

During the trip the car uses 1/8 gallons of gasoline

Which mean it uses 1/8 of the original gasoline, (1/8)x.

Gasoline left in the tank:

x - (1/8)x = (7/8)x

I need the answer. Please hurry

Answers

The answer is the first one! :)

You are playing the game "Hidden Treasure" and your hint is that the treasure is 9 spaces away from the point (0, 0). Which of the following points could contain the treasure?

Answers

Answer:

(9, 0)

(-9, 0)

(0, 9)

(0, -9)

Step-by-step explanation:

Please help me i only have few hours left i need as much as I can ge. ill get you brainliest and send you free mr.beast merch

Answers

Answer:

26cm²

Step-by-step explanation:

Perimeter

2x - 4 + 5x - 13 + x + 9 = 40

8x - 8 = 40

8x = 40 - 8

8x = 32

x = 4

Sides of the triangle

Height = 2x - 4 = 2 x 4 - 4 = 4cm

Hypotenuse = 5x - 13 = 5 x 4 - 13 = 7cm

Base = x + 9 = 4 + 9 = 13cm

Area of triangle

= 1/2 x base x height

= 1/2 x 13 x 4

= 26cm²

Hope this helps

Answer:

26 cm

Step-by-step explanation:

jason went to the store to buy a trampoline with his dad the trampoline was 60% off and they paid $90 how much did it cost without the discount

Answers

Answer:

It costed $150 dollars

Step-by-step explanation:

You divide 90 by 60 to get 1.5 then you multiply that by 100 to get 150

10 11 12 13 14 take 10 minutes or 5 minutes of your time to help me please

Answers

Answer:

im on it:) gimme a quick sec and ill come back and edit

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Steven is building a rectangular wooden frame for his mattress. If the mattress is 7 feet long by 6 feet wide, what is the
perimeter of the mattress?
OA. 42 feet
OB. 13 feet
OC. 21 feet
OD. 26 feet

Answers

Answer:

C| 21 feet is your answer .

Step-by-step explanation:

7×3=21 3×7=21

c is the answer to your problem.

Jake’s rental car service uses the equation y = 0.45x + 39.50 to calculate the total cost, y, where x is the number of miles driven. Angie’s rental car service uses this table to calculate the cost of a car rental.

Answers

Answer:

Step-by-step explanation:

round to the nearest hundredth if so. Use 3.14 as pi
8. r=
d =
C=78.8 ft​

Answers

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = [tex]\frac{C}{2\pi }[/tex], we get r = [tex]\frac{78.8}{2\pi }[/tex]which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.

Hope this helps! :D

Which expression is equivalent to (−3)6(−3)4

6 and 4 are exponents

A. (−3)2
B. (−3)24
C. (−3)10
D. (−3)1.5

The numbers by the parenthesis are exponets

Answers

Answer:

the answer is C

Step-by-step explanation:

(-3)6 (-3)4 =(-3)6+4=(-3)10

3. Two linear functions are shown below. Which function has the greater rate of change? Justify your response LOOK AT PIC! plz help​

Answers

Answer:

Function B has the greater rate of change

Step-by-step explanation:

Function A has a slope of 1/3

Function B has a slope of 1/2

When comparing slopes, the higher value has the greater rate of change

1/2 > 1/3

Write the correct name for each of the following polygons.

Answers

Answer:

a. Pentagon (The figure has 5 sides.)

b. Triangle (The figure has 3 sides.)

c. Hexagon (The figure has 6 sides.)

d. Hexagon (The figure has 6 sides.)

Step-by-step explanation:

PH

-8x = 140

Solve for x

Answers

Answer:

x = -17.5

Explanation:

-8x = 140

Divide both sides by -8

-8x / -8 = 140 / -8

x = ⁻³⁵⁄₂

Simplify

x = -17.5

Answer:

-17.5

Step-by-step explanation:

140 divided by -8=-17.5

x=-17.5

Simplify:-8у – (х- 4x) +3y

Answers

Answer:

=3x−5y

Step-by-step explanation:

Answer: =3x−5y

Step-by-step explanation:

I think this is the last question ​

Answers

Answer:

○ [tex]\displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)[/tex]

Step-by-step explanation:

The minimum is the lowest possible point a certain graph touches, while the maximum is the highest possible point a certain graph touches.

I am joyous to assist you at any time.

Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?

Answers

Answer:

1/3

Step-by-step explanation:

6x=2

x= 1/3

Answer:

1 kilo takes 20 minutes

Step-by-step explanation:

6kilo in 2hrs

3kilo in 1 hr

1hr = 60min

3kilo/3 = 1 kilo

60min/ 3 = 20 min

1 kilo * 6 = 6kilo

20min * 6 = 120min ( 2 hours )

The diagram shows a regular hexagon and a parallelogram.

Answers

Answer:

180-112 = 68

120-68=52

Step-by-step explanation:

I think that is 52

Answer:

x=52

Step-by-step explanation:

180-112=68

use the equation :(n-2)x180

(6-2)x180=720

720/6=120

120-68=52

A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.

For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$

Answers

Answer:

525; $68.25

Step-by-step explanation:

21+.09x=.13x

x=525

21+.09(525)=68.25

.13(525)=68.25

The answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

A)

Let's assume the amount of calling is x for which the two plans cost the same.

So , the algebraic expression can be written as ;

Plan A = Plan B

or

21 + (0.09 × x) = 0 + (0.13 × x)

Solving this we will get amount of calling for which the two plans cost the same as :

21 = 0.13x - 0.09x

0.04x = 21

x = 525 minutes

B)

Now , the cost when two plans cost the same amount :

Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25

or

Plan A = Plan B = $68.25

Therefore , the answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

Learn more about algebraic expression here :

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Write an expression for the sequence of operations described below.
q more than the quotient of 10 and p
Do not simplify any part of the expression.

Answers

More than means addition
Quotient means division

Q plus 10/p

I think this is the answer I hope this helps

help me out please. what is 5 ÷ 9/10 ?

Answers

0.5555556

I Hope This Helps! (^_^)

What is the pattern for 784.5, 78.45, 7.845 what comes next

Answers

Answer:

.7845

Step-by-step explanation:

Please I really need help on this one

Answers

radius: 2.5 centimeters

Answer:

r=

[tex]r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm[/tex]

Please help ASAP! Will give brainlist

Answers

2x+12=3x
2x-3x=-12
-x=-12
x=12

find the sum of the first 31 terms of 4,11,18,...

Answers

Answer:

3379

Step-by-step explanation:

How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2​

Answers

Answer:

First always the positive is greater than the negative

Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2

1/2=0.5

21/2=10.5

11/2=5.5

Then from lowest to greatest

-1/2,1/2,2,11/2,21/2

I hope you understand

Need help asap please!!!

Answers

Answer:15

Step-by-step explanation: 7 and a half times 2 is 15

the answer to that question is 15.

Simplify: 5!

A. 5

B. 20

C. 120

D. 240 ​

Answers

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0

Answers

Answer:

B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9

Step-by-step explanation:

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