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4 years ago

10

Which equation demonstrates the distributive property A) 81 + 18 = 99 B) 81 x 18 = 18 x 81 C) 81 + 18 = 9(9 + 2) D) (9 + 2)9 = 9

(9 + 2) I

1 answer:

evablogger [386]4 years ago

3 0

Answer:

C) $81+18=9(9+2)$

Step-by-step explanation:

By using distributive property we can multiply a number with each addend of the sum and the adding theirs products separately.

$9(9+2)\\=(9\times9) +(9\times2)\\=81+18\\\\$

C) $81+18=9(9+2)$

Thus the above expression is an example of distributive property.

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Answer please!! It's due tomorrow

Alex

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

$\tan C = \frac{DF}{CF}$ (1)

( $C = 61^{\circ}$ , $CF = 24$ )

$DF = CF\cdot \tan C$

$DF = 24\cdot \tan 61^{\circ}$

$DF \approx 43.297$

(ii) Determine the length of the line segment DE by trigonometric relations:

$\tan F = \frac{DE}{DF}$ (2)

( $DF \approx 43.297$ , $F = 19^{\circ}$ )

$DE = DF\cdot \tan F$

$DE = 43.297\cdot \tan 19^{\circ}$

$DE \approx 14.908$

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

$\sin Z = \frac{XY}{XZ}$ (3)

( $XY = 15$ , $Z = 25^{\circ}$ )

$XZ = \frac{XY}{\sin Z}$

$XZ = \frac{15}{\sin 25^{\circ}}$

$XZ \approx 35.493$

(ii) Calculate the measure of the angle W by trigonometric relations:

$\tan W = \frac{XZ}{WZ}$ (4)

( $XZ \approx 35.493$ , $WZ = 22$ )

$W \approx \tan^{-1} \left(\frac{22}{35.493}\right)$

$W \approx 31.792^{\circ}$

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

$\cos \theta = \frac{x}{l}$ (5)

Where:

$\theta$ - Angle of the ladder above ground, in sexagesimal degrees.

$x$ - Distance between the foot of the ladder and the base of the wall, in feet.

$l$ - Length of the ladder, in feet.

If we know that $x = 6\,ft$ and $\theta = 75^{\circ}$ , then the length of the ladder is:

$l = \frac{x}{\cos \theta}$

$l = \frac{6\,ft}{\cos 75^{\circ}}$

$l \approx 23.182\,ft$

The length of the ladder is approximately 23.182 feet.

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3 years ago

Problems with which part of the bone would lead to blood disorders

Pavlova-9 [17]

Answer:

Bone marrow

Step-by-step explanation:

Bone marrow is the semi-solid tissue that is found in the center of your bones. Bone marrow is the primary site of new blood cell production in all birds and mammals. Problems with your bone marrow may lead to blood disorder such as anemia, leukemia, lymphoma, and myeloma.

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3 years ago

Calculate the value of the expression <br> 1, 284°

ladessa [460]

It would be 1,284° couculated by absolute rubies

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Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.

Dahasolnce [82]

Answer:

b.5 hours

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Step-by-step explanation:

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3 years ago

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Anton [14]

Answer:

1 pound

Step-by-step explanation:

2/2=1

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