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2 years ago

Answer so I can past one of my test

Mathematics

2 answers:

stiks02 [169]2 years ago

7 0

Answer: D

take 5/15 and simplify to 3/1

Sveta_85 [38]2 years ago

7 0

D) 1/3 because it simplifies to this

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The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of

Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

By using cosine rule

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

By using similarity ratio

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0

2 years ago

1. Determine el valor de W en las proporciones siguientes: a) (12/w) = (4/3); w =

8090 [49]

Aplicando multiplicación cruzada, tiene-se que el valor de w es w = 9.

Cuando una proporción es dada, con una igualdade de duas proporciones, puede-se aplicar multiplicación cruzada entre ellas.

En este problema, la ecuación que relaciona las proporciones es dada por:

$\frac{12}{w} = \frac{4}{3}$

Aplicando multiplicación cruzada:

$4w = 12(3)$

$4w = 36$

$w = \frac{36}{4}$

$w = 9$

El valor de w es w = 9.

Un problema similar es dado en brainly.com/question/24615636

6 0

2 years ago

2(v–11) please help me solve this

nika2105 [10]

Answer: 2v-22

Step-by-step explanation:

2(v)=2v

2(-11)= -22

2v - 22

6 0

3 years ago

At some department store, all suits are reduced 30% from the retail price. If a man purchased a suit that originally rera ec for

Arisa [49]

Answer:

$78.72

Step-by-step explanation:

To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value

30% is equivalent to 0.30, $\frac{30}{100}$ , and $\frac{3}{10}$
So we can use either of these values. I will use 0.30 for simplicity

($262.40)(0.30) = $78.72 is the amount saved

5 0

3 years ago

Need help finding x pls help

neonofarm [45]

Answer:

C: x = 11

Step-by-step explanation:

if 28 / 4 = 7, then you divide 40 / 4 to get what WH's side is.

if the side is 10 the x has to be 11 because 11 - 1 = 10

3 0

2 years ago