Two of the angles in a triangle measure 81° and 86°. What is the measure of the third angle?

Answer:

A = 50π cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle: A = πr²

Step-by-step explanation:

*Note: A semicircle is half a full circle.

Step 1: Define

Radius r = 10 cm

Step 2: Solve for A

Answer:a)m =K n

b)m = 32

c)n=15

Step-by-step explanation:

M varies directly as n can be expressed mathematically as

m ∝ n

Introducing the constant of proportionality, K, we have that

m =K n

Now when m=14 and n=7, K becomes

14=K X 7

K=14/7 = 2

b) find m when n=16

m =K n

m = 2 x 16=32

c) find n when m=30

m =K n

30=2 x n

n=30/2 =15

Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As we know that the value of m is directly varying with n, therefore, we can write the relationship as,

[tex]m \propto n[/tex]

Now, in order to remove the proportionality, we will add a constant,

[tex]m = kn[/tex]

As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,

[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]

We know the value of the constant k is 2, therefore, the equation can be written as,

[tex]m=2n[/tex]

Substitute the value of n as 16, to get the value of m,

[tex]m=2n\\m=2(16)\\m=32[/tex]

Hence, the value of m, when the value of n is 16 is 32.

Learn more about Expression:

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Answer:

You have to add water.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

The decision to add water to meet the 4 cup mark of water would be:

Yes, the water must be added.

"Volume" is described as the measure of a space that consists of length along with height and width.

Given that,

1 liter of water contains 1000 ml.

The capacity of a standard cup is 236.59 ml

If we take 4 cups, the total volume equals:

= 4 × 236.59

= 946.36 ml

Therefore, .23 cups or 53.64 ml of water would be required to be added.

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The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

Answer:

Step-by-step explanation:

The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.

Answer:

Song =$1.50 Album =$12.99

Step-by-step explanation:

Lets assume Individual songs = x

albums=y

6x + y = 21.99-------- y= 21.99- 6x

4x + 3y= 44.97

Replace y in the second equation

4x+ 3(21.99-6x) = 44.97

4x +65.97- 18x = 44.97

14x= 21

x = 1.50

y= 21.99- (6*1.50)

= 12.99

Answer:

Step-by-step explanation:

Option C) 25-oz jar has the lowest unit rate

Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc

Given here the cost of a 12 oz jar is $3

so the unit rate of a 12 oz jar is = 12/3

                                                 = 4

similarly, the unit rates of all the jars from the given table are

 18 oz jar = 18/4.40

                = $4.09

25 oz-jar = 25/6.75

               = $3.703

32 oz jar = 32/8.25

               = $3.87

Hence the jar with the lowest unit rate is the 25 oz jar

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Answer:

5 + 2 = 7

Step-by-step explanation:

The vertical lines are on the points 5 and 7. So to get from five to seven you move two to the right

Answer:

here in the figure

5 +2 = 7

so the vertical lines is in the points 5 and 7 .

if you want to find

you need to add both points 5 and 2

so after adding both you will get answer 7

hope it is helpful to you️☺️☺️☺️☺️☺️☺️☺️

Answer:

Hello There!!

Step-by-step explanation:

Here is your answer:5+5 eqauls 10.

hope this helps,have a great day!!

~Pinky~

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

Answer:

It's A.

Step-by-step explanation:

Answer:

It’s company- 2 and 4

External- 1 and 3

Step-by-step explanation:

its right

Answer:

x = 11 , y = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

The opposite sides of a parallelogram are congruent

For the figure to be a parallelogram , then

ON = LM, that is

5x - 7 = 4x + 4 ( subtract 4x from both sides )

x - 7 = 4 ( add 7 to both sides )

x = 11

and

OL = NM , that is

3y - 4 = x - 7 = 11 - 7 = 4 ( add 4 to both sides )

3y = 8 ( divide both sides by 3 )

y = [tex]\frac{8}{3}[/tex]

Answer:

Student C wrote the correct inequality

the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like

60 + 40P (less than or equal to symbol) 300

Hope I'm not too late :)

Answer:

- 10/5 = -2

- 1.25 = Box next to -2

0.75 = 2nd box facing the right

-0.5 = Box next to -1.25

3/2 = Last box facing the right

Answer:

-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.

Step-by-step explanation:

Answer:

84+ z =180

Step-by-step explanation:

42 x 2=84

84+ z =180

Answer:

x = 1

Step-by-step explanation:

First perform the indicated multiplication:  

3(2x+1)=4x+5 becomes 6x + 3 = 4x + 5.

Consolidate like terms:   2x = 2

Solve for x:  x = 1

Answer:

Step-by-step explanation:

To solve the equation, first you would multiply 3 times 2x and 3 times 1.  Then, you would write 6x plus 3 on the right side of the equation.  Then, you would subtract 3 from both sides of the equation.  You then will have 6x=4x+2.  Lastly, you would get an answer of x=1

Answer:

See below

Step-by-step explanation:

The answer is attached

Answer: pentagonal pyramid

Step-by-step explanation:

It’s a pentagon

Answer:

the answer is A the pentagonal pyramid

Step-by-step explanation:

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N

Answer:

1/3

Step-by-step explanation:

(-6,0) (-3,1)

1-0/ -3 - -6 = 1/3

Answer:

the answer is 144

Step-by-step explanation:

we find area so we multiple all numbers

Answer:

28m

Step-by-step explanation:

split the shape in two to find the shapes you know the area of.

rectangles

8×2 = 16

6×2 = 12

A = 28m

Answer:

the perimeter is 11cm and the area is 7cm^2

Step-by-step explanation:

NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.

For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.

fAnswer:

1608 acres

Step-by-step explanation:

total acres planted in 12 years = acres planted per year x number of years

134 x 12 = 1608

Answer:

5/6

Step-by-step explanation:

1 2/3 x 1/2 = 5/6

Answer:

the probability of getting 2 greens is 2/13

Step-by-step explanation:

Answer:1  0.05806644 2 64.3818067 m2 3 10.8696557 m2 4  80.2682266 m2 0.13935456 m2 and 15.7935168 m2

Step-by-step explanation: