1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavel [41]
3 years ago
10

The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?

Mathematics
1 answer:
ozzi3 years ago
7 0
4x +5x +6x = 180
15x = 180
x = 180/15
x = 12
So smallest angle = 4*12 = 48 degrees
You might be interested in
Calcular en cuanto se convertira, un capital de $15,500 en 8 meses al 6.5%
dybincka [34]
En algunos bancos, cuentas de ahorro o incluso en prestamos y empeños podemos observar que se cobra un interés mensual. Esto no significa que todos los intereses deban ser así.

El periodo, es el tiempo en el que se aplica el interés, este puede ser anual, mensual, semanal, o incluso por día.
8 0
2 years ago
In △ABC, AB = 13.2m,
luda_lava [24]

Answer:

(i) ∠ABH  = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding  ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)

46° + <HBC  + 90 = 180°

 <HBC+ 136°  = 180°

subtract 136 from both-side of the equation

 <HBC+ 136° - 136°  = 180° -136°

 <HBC  = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

\frac{sin A}{a} =  \frac{sin C}{c}

A = ?

a=6.9

C=90

c=13.2

\frac{sin A}{6.9} = \frac{sin 90}{13.2}

sin A = 6.9 sin 90  /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC  = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC  + 121.5°  = 180°

subtract 121.5° from both-side of the equation

<ABC  + 121.5° - 121.5°  = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

           =58.5° - 44°

            =14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180°  ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB  = 134°

Using sine rule,

\frac{sin 134}{13.2}  = \frac{sin 14.5}{AH}

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

8 0
2 years ago
How many solutions does the system have?
klio [65]

it have manny solution it depand on a method u are using

4 0
3 years ago
Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Th
krok68 [10]

The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

<h3>What is theoretical probability?</h3>

Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.

Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.

  • The total number of names are 5.
  • The total number of names chosen are 4.

The total number of ways 4 names can be taken out from 5 names is,

^5C_4.

Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.

Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is

^4C_3.

The theoretical probability that Chandra will be chosen as one of the science fair participants is,

P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%

Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

Learn more about the theoretical probability here;

brainly.com/question/8652467

#SPJ1

5 0
2 years ago
Hi can someone hep me pls and if you don't know the answer pls don't answer and pls dont send links
gavmur [86]
What is the question I would answer if their was a question to answer
5 0
2 years ago
Read 2 more answers
Other questions:
  • Convert 2pi/3 to degrees
    15·2 answers
  • 16.2 Jumping Rope
    8·1 answer
  • A fish tank contains 14 goldfish 26 guppies. If you randomly select 2 fish what is the probility that they both are gold fish?
    13·1 answer
  • Write and solve an equation to answer the question. What number is 28% of 75?
    10·1 answer
  • What is S7 for 6-24+96-324+...?
    14·1 answer
  • Need help to solve please??<br> Need to proof
    13·1 answer
  • Enrique is going to a party this weekend. He is bringing 20 liters of soda to the party. A liter of soda costs $1.59.
    7·1 answer
  • Slope = 4; (3, 8)<br> ???
    8·1 answer
  • Maggie opens a bank account with $15. She plans to put $5 in each week.
    9·1 answer
  • Angle C is inscribed in circle O. AB start overline, A, B, end overline is a diameter of circle O. What is the measure of \angle
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!