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DIA [1.3K]
3 years ago
8

David lives 3 2/3 miles from the lake. Mariel lives2 1/2 times as far from the lake as David does.

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0
(3 + (2/3))(2+(1/2) = 3*2+2*(2/3)+3*(1/2)+((2/3)(1/2)) = 6+(4/3) +(3/2) + (2/6) = 6 + ((8+9+2)/6) = 6 + (19/6) = 6 + 3 + 1/6 = 9 + 1/6 miles = D
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Using the provided measures determine the measure of angle K.
forsale [732]

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

Multiply both sides by 3.18

sin(K) = \frac{sin(64)}{5}*3.18

sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

5 0
3 years ago
A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)
Gekata [30.6K]

Answer: 9.3d−g-10.4f

Step-by-step explanation:

7 0
3 years ago
HELP 1/7z+2=-6/7z what’s the solution set please send help I’m suffocating under homework
Snezhnost [94]

Isolate the z. Note the equal sign. Subtract 1/7z to both sides

1/7z (-1/7z) + 2 = -6/7z (-1/7z)

2 = -6/7z - 1/7z

Simplify. Combine like terms

2 = -7/7z

2 = -1z

Isolate the z. Divide -1 from both sides

(2)/-1 = (-1z)/-1

z = 2/-1

z = -2

-2 is your answer

hope this helps

8 0
3 years ago
Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
Trava [24]

Given:

In triangle GHJ, ∠G = 110°, ∠J = 40° and ∠H = 30°.

To find:

The answer to complete the given statements.

Solution:

According to triangle side and angle relationship, largest angle has longest opposite side and smallest angle has shortest opposite side.

∠G = 110°, ∠J = 40° and ∠H = 30°.

Here, ∠G > ∠J = 40° and  ∠G > ∠H. So,  ∠G is the Largest angle.

Since angle G is  largest angle, the opposite side, JH, is  longest.

Clearly,

110° > 40° > 30°.

∠G >  ∠J  > ∠H

Using triangle side and angle relationship, we get

JH > GH > GJ

The order of the side lengths from longest to shortest is JH, GH ahd GJ.

8 0
4 years ago
Which functions represent exponential growth
slava [35]

Answer:

the purple line     can i  be brainliest

Step-by-step explanation:

4 0
3 years ago
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