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2 years ago

Math question please show work due today last day to submit Assignments or I fail please help

Mathematics

1 answer:

Aleksandr [31]2 years ago

6 0

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is $\frac{3}{3.75}$ .

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is $\frac{5}{6.25}$ .

If these polygons are similar, these proportions must be equal.

$\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark$

Checking, we see that these proportions are equal, and therefore the polygons are similar.

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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

3 years ago

Suppose that Y has a gamma distribution with parameters α and β. a If a is any positive or negative value such that α + a > 0

Nookie1986 [14]

Answer:

2nd option

Step-by-step explanation:

makes most sense

3 0

3 years ago

joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of

kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90. Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n + 2q = 76 as n + q = 38, or n = 38 - q. Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

570 - 15q + 35q = 890, or

570 + 20 q = 890. Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters. Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0

3 years ago

Can someone please help me w this. thx lol :) even dropping the link to the answers is fine

Sphinxa [80]

It’s a black screen

7 0

2 years ago

2.1 km =

likoan [24]

2,100,000 Centimeters

3 0

2 years ago