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2 years ago

13

1 1/2 liters of blue paint and 3 3/5 liters of red paint. he mixes 2/3 of the blue paint and 5/6 of the red paint to get purple

paint. How much purple paint does patrick have?

1 answer:

just olya [345]2 years ago

5 0

First seperate the paints... add the blue paints then add the red paint.... then u add the total of the red and the blue....Ans=9.6 liter

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Suppose the area of a circle is 254.4696 square inches. Whats the radius of the circle? Use pie=3.1416. A. 18 in B. 81 in. C. 9

andrezito [222]

Answer:

radius = 9 inches

Step-by-step explanation:

$Area = \pi r^{2}$

r = radius

Area = 254.4696 square inches

so we have:

$r^{2} = \frac{A}{\pi} \\\\r = \sqrt{\frac{A}{\pi}} \\\\r = \sqrt{\frac{254.4696}{3.1416}} \\\\r = \sqrt{81}$

so we have: r = 9 inches

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2 years ago

What additional information would prove that LMNP is a rectangle? The length of LM is and the length of MN is . The slope of LP

kumpel [21]

Answer:

The correct answer is diagonals are equal and bisect each other.

Step-by-step explanation:

A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.

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2 years ago

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If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

$\Rightarrow x-y=4$ --------------1

$\Rightarrow x-8=2$

$\Rightarrow x=10$ --------------------2

Putting the values of x in equation 1,

$\Rightarrow 10-y=4$

$\Rightarrow y=10-4=6$

Therefore, the value of y is 6 units.

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2 years ago

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A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function

vitfil [10]

Answer:

V(t) = 25000 * (0.815)^t

The depreciation from year 3 to year 4 was $2503.71

Step-by-step explanation:

We can model V(t) as an exponencial function:

V(t) = Vo * (1+r)^t

Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.

We have that Vo = 25000, r = -18.5% = -0.185, so:

V(t) = 25000 * (1-0.185)^t

V(t) = 25000 * (0.815)^t

In year 3, we have:

V(3) = 25000 * (0.815)^3 = 13533.58

In year 4, we have:

V(4) = 25000 * (0.815)^4 = 11029.87

The depreciation from year 3 to year 4 was:

V(3) - V(4) = 13533.58 - 11029.87 = $2503.71

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2 years ago

Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s

Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets revise the cases of congruence</em>

- <u><em>SSS</em></u> ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ

- <u><em>SAS</em></u> ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

sides and including angle in the 2nd Δ

- <u><em>ASA</em></u> ⇒ 2 angles and the side whose joining them in the 1st Δ ≅

2 corresponding angles and the side whose joining them in the 2nd Δ

- <em><u>AAS</u></em> ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

angles and one side in the 2ndΔ

* <em>Lets solve the problem</em>

- In 2 Δs ADC and EBC

∵ <em>∠ACE is a common angle</em> in the two triangles ⇒ given

∵ <em>∠CAD ≅ ∠CEB</em> ⇒ because they marked with the same symbol

∵ <em>DC ≅ BC</em> ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles

and one side in Δ EBC

∴ <u><em>Triangles ADC and EBC congruent by AAS</em></u>

* Yes Triangles ADC and EBC congruent by AAS

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