All categories

3 years ago

Question:find the angle measure of the missing angle if you can pls explain

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

Answer:

85°

Step-by-step explanation:

So in geometry, the formula to find the sum of all interior angles is denoted as follows:

n = number of sides in the polygon

( n - 2 ) × 180° = sum of the interior angles

Using that formula, a triangle has 3 sides, so

n = 3 , therefore:

= ( 3 - 2 ) × 180°

= 1 × 180°

= 180°

Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:

34° + 61° + x = 180°

Solve for x.

You might be interested in

2 pts

katrin2010 [14]

Answer:

It is a binomial and the degree is 9

4 0

3 years ago

I need help with someone explaining how to find the range of this! This course didn’t explain anything!

zaharov [31]

Answer:

$(-infinity,3)$ , D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with $h(x)=2x+1$ if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is $(-infinity,3)$ , which is D.

4 0

3 years ago

Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)? y = one twelfth(x − 5^)2

ankoles [38]

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = one twelfth (x - 5)² ⇒ 1st answer

Step-by-step explanation:

The form of the equation of the parabola is (x - h)² = 4p(y - k), where

The vertex of the parabola is (h , k)
The focus is (h , k + p)
The directrix is at y = k - p

∵ The focus of the parabola is at (5 , 3)

- Compare it with the 2nd rule above

∴ h = 5

∴ k + p = 3 ⇒ (1)

∵ The directrix is at y = -3

- By using the 3rd rule above

∴ k - p = -3 ⇒ (2)

Solve the system of equations to find k and p

Add equations (1) and (2) to eliminate p

∴ 2k = 0

- Divide both sides by 2

∴ k = 0

- Substitute the value of k in equation (1) to find p

∵ 0 + p = 3

∴ p = 3

Substitute the values of h , k , and p in the form of the equation above

∵ (x - 5)² = 4(3)(y - 0)

∴ (x - 5)² = 12 y

- Divide both sides by 12

∴ $\frac{1}{12}$ (x - 5)² = y

- Switch the two sides

∴ y = $\frac{1}{12}$ (x - 5)²

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = $\frac{1}{12}$ (x - 5)²

Learn more:

you can learn more about the quadratic equations in brainly.com/question/8054589

#LearnwithBrainly

8 0

3 years ago

angela and neil are going to the movies they each bought a medium popcorn and neil got a small soft drink angela had a $10 gift

bazaltina [42]

$5.90 is my answer because its 19.3-9-4.4

6 0

3 years ago

Read 2 more answers

A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,

tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

7 0

3 years ago

Question:find the angle measure of the missing angle if you can pls explain ​

Question:find the angle measure of the missing angle if you can pls explain