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2 years ago

7

point P (-4,0) lies on the directed line segment AE. The endpoints are A (2,-6) and E(x,y). What are the cooridinates of point E

such that AP is 3/4 of the distance from A to E?

1 answer:

irakobra [83]2 years ago

5 0

Answer:

Umm….. I really don’t know….

Step-by-step explanation:

Sorry……

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The total cost of four pens and seven mechanical pencils is $9.73. The cost of each mechanical pencil is 0.75 cents. Which repre

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Answer:

(C) $1.12

Step-by-step explanation:

Multiply .75 by 7 to get the total pen cost. Then subtract that from $9.73 to get the total pencil cost, which is $4.48. Then divide by 4 since that is the amount of pencils.

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A party store uses 20% of a tank of helium a day and fills 80 balloons. Each balloon takes 0.5 cubic feet of helium to fill. How

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0.5 * 80 = 40

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Step-by-step explanation:

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3 years ago

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

<em>By using sine rule </em>

<em></em> $\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$ <em></em>

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

<em>sin A = 0.990</em>

<em>A = sin⁻¹( 0.990) = 82.2°</em>

<em> ∠A = 82.2°</em>

<u><em>Step(ii):-</em></u>

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

<u><em>Step(iii)</em></u>:-

<em>we will use formula</em>

<em></em> $\frac{b}{sin B} = \frac{c}{Sin C}$ <em></em>

<em></em> $\frac{11}{sin 35} = \frac{c}{Sin 62.8}$ <em></em>

$\frac{11 X sin (62.8)}{sin 35} = C$

<em>c = 17.01</em>

<u><em>Final answer</em></u>:-

<em> ∠A = 82.2° , ∠C = 62.8° , c = 17.01</em>

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3 years ago