All categories

3 years ago

The ratio of the measures of the angles in a triangle is 2:9:4 what is the measure of the largest angle ?

Mathematics

2 answers:

Anna007 [38]3 years ago

6 0

180 degrees..... szjsisisjaak

FrozenT [24]3 years ago

5 0

You need to add all of these values together. This is 2 + 9 + 4 which gives 15

There are 180° in a triangle. Divide this by 15.

180/15 = 12

Then multiply this by the largest in the ratio; which is 9.

This is 12 x 9 which = 108°.

The largest angle is therefore 108°.

For reference, the ratio in degrees would look like this:

24:108:48, which adds up to 180°.

You might be interested in

Shaylee has 77 pennies. She will trade in the pennies to get nickels.

Ghella [55]

0.77 / 0.05 = 15.4 ...so we know it is 15 nickels
15 * 0.05 = 0.75.....0.77 - 0.75 = 0.02....with 2 pennies left over

ur answer is : 15 nickels and 2 pennies left over

6 0

3 years ago

Read 2 more answers

On a 8.5 x 11 inches (or larger) paper, create a carnival game (for example it could be: throwing a dart at a target, ball throu

Keith_Richards [23]

The probability of winning the game is 0.065

<h3>The description of the game</h3>

The game involves throwing two darts at two targets.

To win the game, the darts must hit anywhere in the following shapes

Rectangle: 5 by 4 inches
Circle: Radius, r = 3 inches

<h3>The probability of winning</h3>

The area of the paper is:

Area = 8.5 inches * 11 inches

Area = 93.5 square inches

The area of the rectangle on the paper is:

Area = 5 inches * 4 inches

Area = 20 square inches

The area of the circle on the paper is:

Area = π * (3 inches)²

Area = 28.3 square inches

The probability of landing on both shapes is

P(Both) = 20/93.5 * 28.3/93.5

Evaluate

P(Both) = 0.065

Hence, the probability of winning the game is 0.065

Read more about probability at:

brainly.com/question/24756209

#SPJ1

7 0

2 years ago

Which statement is true about the graph of two lines y=-6 and x=1/6

Gelneren [198K]

The graph of the line y = -6 is a horizontal line which passes through the y axis at -6. On the other hand, the graph of the equation, x = 1/6 is a vertical line that passes through the x-axis at 1/6. The intersection of these lines is at a point that is expressed as (1/6, -6).

7 0

3 years ago

Determine if each of the following sets is a subspace of Pn, for an appropriate value of n.

snow_tiger [21]

Answer:

1) W₁ is a subspace of Pₙ (R)

2) W₂ is not a subspace of Pₙ (R)

4) W₃ is a subspace of Pₙ (R)

Step-by-step explanation:

Given that;

1.Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R

2.Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R

3.Let W₃ be the set of all polynomials of the form p(t) = at² + at, where a is in R

let W₁ = { at² ║ a∈ R }

let ∝ = a₁t² and β = a₂t² ∈W₁

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t²) + c₂(a₂t²)

= c₁a₁t² + c²a₂t²

= (c₁a₁ + c²a₂)t² ∈ W₁

Therefore c₁∝ + c₂β ∈ W₁ for all ∝, β ∈ W₁ and scalars c₁, c₂

Thus, W₁ is a subspace of Pₙ (R)

let W₂ = { t² + a ║ a∈ R }

the zero polynomial 0t² + 0 ∉ W₂

because the coefficient of t² is 0 but not 1

Thus W₂ is not a subspace of Pₙ (R)

let W₃ = { at² + a ║ a∈ R }

let ∝ = a₁t² +a₁t and β = a₂t² + a₂t ∈ W₃

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t² +a₁t) + c₂(a₂t² + a₂t)

= c₁a₁t² +c₁a₁t + c₂a₂t² + c₂a₂t

= (c₁a₁ +c₂a₂)t² + (c₁a₁t + c₂a₂)t ∈ W₃

Therefore c₁∝ + c₂β ∈ W₃ for all ∝, β ∈ W₃ and scalars c₁, c₂

Thus, W₃ is a subspace of Pₙ (R)

8 0

3 years ago

A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get

GaryK [48]

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

7 0

2 years ago