The angles of a triangle are in the ratio 1 : 4 : 5.
Work out the size of the smallest angle?

Answers

Answer 1

Answer:

18°

Step-by-step explanation:

sum the parts of the ratio, 1 + 4 + 5 = 10 parts

The sum of the 3 angles in a triangle = 180° , then

180° ÷ 10 = 18° ← value of 1 part of the ratio

Since 1 is the smallest part of the ratio it represents the smallest angle, thus

smallest angle = 18°


Related Questions

A 11-inch board is cut into 6 equal length pieces. How long is each piece?

Answers

Answer:

1.8inches or 1.83in repeating.

Step-by-step explanation:

divide 11 by 6. you get the decimal 1.83333333. you can either round to 1.8 or do 1.83 with a repeating symbol over the three (small dash above the number).      

A college student has $4,032 he earned from working during the summer. If he earned $288 per week, how many weeks did he work? Complete the division problem to find the quotient. Only enter the number part of your answer, no labels.

Answers

Answer:14 weeks

Step-by-step explanation:288 x 14 = 4032

What is the sum of 4.061 and 18.62?

Answers

Answer:

22.681

Step-by-step explanation:

  1

    4.061

+  18.620

  22.681

Hope this helps!! Have a wonderful day C:

please help! no rush though :)

1.6 x 10^5kg and 8 x 10^3kg

(i need it with too but if you can’t it’s all good!)

Answers

Answer:

160000 kg and 8000

Step-by-step explanation:

move decimal to the right five times

move decimals to right 3 times  

Two trapezoids below are similar what is the length of RS?

Answers

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

 

What is the perimeter and area? ​

Answers

Answer:

17

Step-by-step explanation:

because you have to count around the shap3

Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5

Answers

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

Two linear equation has their solutions on the points where they intersect each other.

The solution of the given system of equations is:

x = 2, y = 3.

How to determine the solution of system of linear equations graphically?

Each linear equation represents a straight line.

If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.

If both the given lines are parallel, then there is no intersection and thus no solution.

If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.

Using method of substitution to solve the system of equations:

[tex]y = 3x-3\\ x+y = 5 [/tex]

Substituting the value of y from first equation in the second equation, we get:

[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]

Thus, putting this value of x in first equation, we get:

[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]

Thus, the system has one solution and it is x = 2, y = 3.

Using graphing, we can see that point of intersection is (x,y) = (2,3)

Learn more about solutions of system of linear equations:

https://brainly.com/question/9351049

The regular cost for tickets to an outdoor concert is $10 per person. If the temperature is above 90°F, the venue offers a discount of $4 off per person. Today the temperature is 35°C. What is the total cost for a group of 12 people to go to the outdoor concert today? A. $6 B. $10 C. $72 D. $120

Answers

Answer:

C. $72

Step-by-step explanation:

work out area of this semi circle with diameter 10

Answers

Area of a circle is pi x r^2

R is the radius which is have the diameter: r = 10/2 = 5

Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.

A semi circle is half a full circle

Area of the semi circle = 78.5/2 = 39.25 square units.

What is the area of shape B?

Answers

Answer:

my answer is incorrect

Step-by-step explanation:

Since the two shapes are similar, you can answer this question with a proportion.

[tex]\frac{12}{200} = \frac{15}{area} \\12area = 200*15\\area = \frac{200*15}{12} = 250[/tex]

Another way you could solve it is to find the percentage growth of the height of the area.

[tex]\frac{15-12}{12} = \frac{3}{12} = 25[/tex] percent growth.

We can multiply the area of A by 1.25 to find the area of B

[tex]200*1.25 = 250[/tex]

edit: I was incorrect, it is not linear.

It would be [tex]200*(1.25)^2[/tex]

Answer:

312.5

Step-by-step explanation:

12²=200cm²

15²=??

(15²×200)÷12²

=312.5

I need help I'm dumb ​

Answers

Answer:

this is easy just place the value of x in the formula

Step-by-step explanation:

1) y=-2x-5 this wpuld equal y=-2(-6)-5

i am going to do one and you do the rest

y= -2(-6)-5

y= (12)-5

y= -60

Now i got 12 positive because is we look at the rule os signs -+-=+

so -2(-6)= 12

and the pharentesis= multiplication

Hi! I have trouble with these type of questions, what is 3.478 divided by 37?

Answers

Answer:

0.094

Step-by-step explanation:

3.478 ÷ 37 = 0.094

I hope this helps!

0.00922546419. for short u can jus put 0.00922

Which expression is undefined?
A. -8 ÷ (-8)
B. -8 ÷ 8
C. 0 ÷ 8
D. 8 ÷ 0

Answers

Answer:

Option D

Step-by-step explanation:

8 ÷ 0 = Undefined

Answer:

D

Step-by-step explanation:

36x-2 + 34x+2 = 180 solve

Answers

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

Answer:

[tex]x = \frac{18}{7} [/tex]

Please help! Thanks!

Answers

Answer:

1st image:
1/3, 3/5, 5/6

2nd image:
1/6, 1/4, 1/3

Explanation: Use a calculator to divide each fraction and order them from smallest to largest. Hope this helps! :)

Answer:

1/3, 3/5, 5/6 is the correct order from least to greatest.

Step-by-step explanation:

what is the x-intercept of the graph of the function f(x) = x2 - 16x + 64?

Answers

Answer:

(8,0)

Step-by-step explanation:

2x + 7 > 11
Please and thank you

Answers

Answer:

x = > 2

Step-by-step explanation:

This is the answer because:

1) >2 means x is any number greater than 2

2) For example, 2 x 3 = 6 +  7 = 13

3) 13 is greater than 11

Hope this helps!

what is the equation of the line with slope -3 and y-intercept 6? Express your answer in slope-intercept form.

Answers

Answer:

y=-3x+6

Step-by-step explanation:

Answer:

y = -3x + 6

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

SO

m = -3

b = 6

Thus,

y = -3x + 6

13 only (give brainliest) ASAP

Answers

Answer:

1/3 or 0.3

Step-by-step explanation:

5/8 x 4/5 x 2/3 =

1/3 or 0.3

Answer:

1/3 in^3

Step-by-step explanation:

In order to find the volume, you must multiply the length, by the width, by the height. This would mean you need to do 2/3x5/8x4/5=40/120

40/120 simplified will give you 1/3

Scott grades 15 papers every 15 minutes. how many papers can scott grade in 130 mintues? round to the nearest tenth?​

Answers

Answer:

130 papers.

Step-by-step explanation:

1 min per paper therefore 130 mins = 130 papers

:)

It would be 1,950.just times 15 by 130

PLEASE HELP ME! (It's not "B")

Answers

Answer:

b  is the correct answer

A carpet cleaning company will clean an apartment for $71.00. Jim has a coupon for 20% off the total price.
How much money will Jim save if he uses the coupon?

Answers

Answer:

Step-by-step explanation:

Jim will save $14.20

To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form

Comes to .20.

The end result is $14.20.

Step-by-step explanation:

y-9= 2(x - 5)

Solve for y

Answers

Answer:

y=2x-1

Step-by-step explanation:

y-9=2x-10

y=2x -10+9

y=2x-1

Answer:

y=2x-1

Explanation:

Let’s start! After doing distributive property, the equation will be y-9=2x-10. Now, we move over the “-9” to the other side and add it to -10. So the new equation will be y=2x-1. Can you vote for me on brainliest? Thank you if you do. Have a good day!

the answer would be (12)

Answers

Ok thanks for the help

thank you.............................

(4w+32)(-w-5)=0 solution set​

Answers

Answer:

W=5 w=8

Step-by-step explanation:

You are enclosing a rectangular garden with feet of ornamental fencing. The area of the garden is square feet. What are the dimensions of the​ garden?

Answers

Answer:

The length and width of the rectangular garden are 20 feet and 10 feet.

Step-by-step explanation:

Given that the length of fencing = 60 feet

The area of the garden = 200 sq. feet.

As the length of the fencing is equal to the perimeter of the garden, so the perimeter of the rectangular garden is 60 feet.

Let l and b be the length and width of the rectangular garden.

So, the perimeter of the garden = 2(l+b)=60

[tex]\Rightarrow l+b=60/2=30[/tex]

[tex]\Rightarrow l=30-b\cdots(i)[/tex]

The area of the rectangular garden [tex]= l\times b=200[/tex]

[tex]\Rightarrow (30-b)b=200[/tex] [from equation (i)]

[tex]\Rightarrow 30b-b^2=200[/tex]

[tex]\Rightarrow b^2-30b+200=0[/tex]

[tex]\Rightarrow b^2-10b-20b+200=0[/tex]

[tex]\Rightarrow b(b-10)-20(b-10)=0[/tex]

[tex]\Rightarrow (b-20)(b-10)=0[/tex]

[tex]\Rightarrow b-20=0 \;or\; b-10=0[/tex]

[tex]\Rightarrow b= 20\;or\; 10[/tex]

Now, from equation (i),

If b=20 than l= 30-20=10

or if b=10 than l=30-10=20.

Hence, the length and width of the rectangular garden are 20 feet and 10 feet.

Find the slope:
(-7, 4), (13, 4)
O 20
O Zero
O Undefined

Answers

Answer:

Zero

Step-by-step explanation:

it is to correct answer because I did this before and one of my classes also subscribe to my channel bye

The answer is zero



4-4=0
13-(-7)=20
And since there is no number above the 20 it is zero

The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0

Answers

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -2, f(a) = 0 [/tex]

[tex] b = 0, f(b) = 4 [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 0}{0 -(-2)} [/tex]

[tex] = \frac{4}{2} = 2 [/tex]

Average rate of change from x = -2 to x = 0 is 2.

A zookeeper is preparing to care for snakes in an exhibit. For every 2 snakes, she needs 1 bowl of water. How many bowls of water are needed if the number of snakes is x? *

Answers

Answer:

k

Step-by-step explanation:

A rope is 225 centimeters long.
You need the rope to be 1 1/2 meters long.

How many centimeters should you cut off?

Answers

Rope = 225 cm

Needed rope = 11/2m = (11/2) × 100 cm = 550cm

So, rope needed to be cut

= 550cm - 225cm

= 225cm

=225/100m

=2.25 m

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