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3 years ago

madison and centerville are 6 cm apart on a map that has a scale of 1 cm : 11km. how far apart are the real cities

Mathematics

2 answers:

Anastasy [175]3 years ago

6 0

Answer:

66 km

Step-by-step explanation:

6 * 11 = 66

vredina [299]3 years ago

4 0

The two cities are 66 km apart

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What is the area of this figure? enter your answer as a decimal in the box. 7cm 9cm 11cm

ASHA 777 [7]

Answer:

4ed2

Step-by-step explanation:

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3 years ago

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use the distance formula to find the distance between the two points. (0, -2) and (9, 10) give the exact length (leave in radica

kkurt [141]

Answer:

15 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (9, 10)

d = $\sqrt{(9-0)^2+(10+2)^2}$

= $\sqrt{9^2+12^2}$

= $\sqrt{81+144}$

= $\sqrt{225}$

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2 years ago

Barry arrives at the hotel each morning at 7:00am. Today he will stay late to oversee a party in the ballroom. He will leave the

Dmitry_Shevchenko [17]

im pretty sure 13 hours he would spend in the hotel, 7 am to 1 am, hope this helps^^

4 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

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2 years ago

The answer to the following q.

Katen [24]

Answer:

See below ~

Step-by-step explanation:

Given :

⇒ m∠1 = m∠2

⇒ HD = GF

=============================================================

To Prove :

Δ EHD ≅ Δ EGF

============================================================

Solving :

⇒ m∠1 = m∠2 (Given)

⇒ HD = GF (Given)

⇒ ∠E = ∠E (Common angle)

⇒ ΔEHD ≅ ΔEGF (AAS congruence)

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1 year ago

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