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3 years ago

6

The relative locations of Marilyn's house, Bobby's house, and Kimberly's house are shown in the figure.

1 answer:

EastWind [94]3 years ago

7 0

<span>Using sine rule :

</span> $\dfrac{a}{sin A} = \dfrac{b}{sin B}$
<span>
</span> $\dfrac{14}{sin(63)} = \dfrac{b}{sin(50)}$
<span>
</span> $bsin(63) = 14sin(50)$
<span>
</span> $b = \dfrac{14sin(50)}{sin(63) }$
<span>
</span> $b = 12.04 \ mi \text{(nearest hundredth)}$
<span>
Answer: The distance is 12.04 miles</span>

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A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago

find the slope-intercept form of the line whose slope os 4 and that passes through the point (-9,12)

Trava [24]

Answer:

y = 4x+48

Step-by-step explanation:

Slope intercept form is y=mx+b. We already know the value for m(4), so we can plug in the x and y coordinates for x and y in the equation. This gives us 12=4(-9)+b. Solve for b to get 48

7 0

3 years ago

A high school band director has 120 students in his marching band. The marching band plays at all football games, so the band mu

STatiana [176]

Divide 120 by 2 or divide 120 by 60

3 0

3 years ago

Read 2 more answers

The sum of three consecutive numbers is 45. What is the<br> largest of these numbers?

Arturiano [62]

Answer:

14,15,16

Step-by-step explanation:

a+a+1 +a+2=45

3a+3 =45

3a=45-3

3a=42

a=42:3 =14(the first number

14+1=15 (the second number

14+2=16 (the third number, the largest number

8 0

3 years ago

The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes,

satela [25.4K]

Answer:

<h2> 21 km </h2>

Step-by-step explanation:

If the bicyclist travels 7 km for every 5 minutes then it is directly proportional

5 min 7 km

15 min x

$x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km$

3 0

3 years ago