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10 days ago

Circle 1 has center (−4, −7) and a radius of 12 cm. Circle 2 has center (3, 4) and a radius of 15 cm.

2 answers:

7 0

Answer with explanation: Given that Circle 1 has a center at (−4, −7) and a radius of 12 cm, while Circle 2's center is at (3, 4) with a radius of 15 cm. Two circles are similar if one can be transformed and scaled to fit over the other, creating identical circles. The circles qualify as similar because the transformation rule (x,y) → (x+7,y+11) can be applied to Circle 1, followed by dilation using a scale factor of 5/4. Since Circle 1's center is at (-4,-7), we translate it to (3,4) through (-4+7,-7+11). With Circle 1 having a radius of 12 and Circle 2 having 15 cm, we denote the scale factor as k.

Inessa [12.1K]10 days ago

6 0

Response: (x + 7, y + 11)

Scale up with a factor of 5/4

Detailed explanation:

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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

babunello [11329]

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

700a + 1500p =

700a + 1500p = 14100

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a + p = 11

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1 month ago

When the sun is at a certain angle in the sky, a 50-foot building will cast a -foot shadow. What is the length of the shadow in

Svet_ta [12294]

Answer:

0.40 feet

Step-by-step explanation:

For the first scenario, a 50-foot building casts a shadow of 1 foot. Let the angle of elevation of the sun from the shadow be denoted as θ.

Then:

Tan θ = $\frac{opposite}{adjacent}$

Tan θ = $\frac{50}{1}$

Tan θ = 50

⇒ θ = $Tan^{-1}$ 50

= 88.8542

= $88.85^{o}$

The elevation angle is roughly $88.85^{o}$ .

For a 20-foot pole,

Tan θ = $\frac{opposite}{adjacent}$

Tan $88.85^{o}$ = $\frac{20}{x}$

x = $\frac{20}{Tan 88.85^{o} }$

= 0.4015

= 0.40 feet

The length of the pole's shadow is 0.40 feet.

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11 days ago

From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 38.8. If a macaroni and cheese dinner cost $0.37 in 196

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<span>I'm fairly certain it's C $0.12

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17 days ago

Read 2 more answers

W hich of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply. (Lesson 1-11) A. 3 cm to 15 km D. 5 m

AnnZ [11930]

The corresponding scales are:

3 cm for 15 km translates to 1 cm for 5 km ⇒ answer A

5 mm for 2.5 km translates to 1 cm for 5 km ⇒ answer D

1 mm for 500 m translates to 1 cm for 5 km ⇒ answer E

Detailed explanation:

To engage with this problem:

1. Given that 1 cm is equivalent to 5 km, all provided answers must

be converted to cm and km

2. Determine the matching scales against the provided scale

Since 3 cm indicates 15 km

- Divide both values by 3

Thus, 1 cm indicates 5 km

3 cm for 15 km equates to 1 cm for 5 km

Since 1 mm signifies 150 km

- Convert mm to cm

Since 1 cm = 10 mm

Thus, 1 mm = $\frac{1}{10}$ cm = 0.1 cm

So, 0.1 cm indicates 150 km

- Then multiply both by 10

So, 1 cm indicates 1500 km

1 mm to 150 km does not match with 1 cm to 5 km

Since 5 cm signifies 1 km

- Divide both by 5

Thus, 1 cm signifies 0.2 km

5 cm to 1 km does not match with 1 cm to 5 km

Since 5 mm signifies 2.5 km

- Convert mm to cmSince 1 cm = 10 mm

Thus, 5 mm = $\frac{5}{10}$ cm = 0.5 cm

Therefore, 0.5 cm indicates 2.5 km

- Divide both by 0.5

Therefore, 1 cm represents 5 km

5 mm to 2.5 km corresponds to 1 cm to 5 km

Since 1 mm signifies 500 m

- Convert mm to cm

Since 1 cm = 10 mm

So, 1 mm = $\frac{1}{10}$ cm = 0.1 cm

- Convert m to km

Since 1 km = 1000 m

Thus, 1 m = $\frac{1}{1000}$ = 0.001 km

Thus, 500 m = $\frac{500}{1000}$ = 0.5 km

Thus, 0.1 cm indicates 0.5 km

- Multiply both by 10

Thus, 1 cm represents 5 km

1 mm to 500 m corresponds to 1 cm to 5 km

Learn more:

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