answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeeva-Olga
13 days ago
13

Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length

of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama Canal on Ana’s map? Be sure to use the correct place value
Mathematics
1 answer:
lawyer [12.5K]13 days ago
4 0

Answer:

According to the map, the length of the canal is 16.4 centimeters.

Step-by-step explanation:

If the real length of Panama Canal = 20 kilometers

and the canal's length on the map = 4 centimeters

Then, the scale factor is \frac{\text{Length of canal on map}}{\text{Actual length of canal}}

= \frac{4}{20}

= \frac{1}{5}

If the actual length of the Panama Canal = 82 kilometers

The length of the canal on the map = Actual length × Scale factor

= 82\times \frac{1}{5}

= 16.4 centimeters

So, the canal's length on the map is 16.4 centimeters.

You might be interested in
When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti
Zina [12379]

Answer:

cuando hables de raviolis de queso, dile a Martha que vaya al supermercado a comprar raviolis Chef Boyardee.

6 0
1 month ago
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
PIT_PIT [12445]

Answer:

mCEA = 90ᴼ, as CEA forms a right angle, and by definition, right angles measure 90ᴼ.

The angle CEF is classified as a straight angle as it combines two right angles (CEA and AEF), equating to 180ᴼ altogether. Straight lines are defined to measure 180ᴼ.

AEF is determined to be a right angle as CEA is already a right angle, and since CEF is a straight line, AEF must also be a right angle.

4 0
1 month ago
Read 2 more answers
Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
Svet_ta [12734]

Answer:

x=9,-1 and x^2+(-8)x=9

Explanation:

We are given the quadratic equation x^2-8x-9

, which we then compare with the standard form of a quadratic. The general quadratic is identified as ax^2+bx+c=0

. From our given equation, it follows that a=1,b=-8,c=-9

. To calculate the discriminant, we insert these values into the formula D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

. Now, to find the value of x

The formula is x=\frac{-b\pm\sqrt{D}}{2a}

. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of

x^2+bx=c

.
4 0
26 days ago
Read 2 more answers
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
lawyer [12517]

To address this issue, we will utilize the formula for determining the distance from a point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

 

We have the line equation:

y = 2 x + 4

Rearranging it results in:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

 

The coordinates given are:

(-4, 11) = (x, y)

 

Substituting into the distance formula:

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance ≈ 6.7

 

<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>

3 0
1 month ago
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre
PIT_PIT [12445]
The computed standard deviation is 7588.09.
7 0
29 days ago
Read 2 more answers
Other questions:
  • The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =
    7·2 answers
  • A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first
    13·1 answer
  • The manufacturer's suggested retail price (MSRP) for a particular car is $25,425, and it is expected to be
    7·1 answer
  • Arrivals at a fast-food restaurant follow a poisson distribution with a mean arrival rate of 16 customers per hour. what is the
    5·1 answer
  • A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th
    5·1 answer
  • Which product is negative? (Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (one-four
    5·2 answers
  • Raj and Nicole's polynomial expressions are added to create a sum, written in standard form. What can you determine about the de
    13·1 answer
  • A circus ring is the arena where much of the action takes place at a circus. The figure below shows a circus ring with the cente
    13·1 answer
  • Suppose that for a recent admissions class, an Ivy League college received 2,851 applications for early admission. Of this group
    15·1 answer
  • Triangle SRQ undergoes a rigid transformation that results in triangle VUT. 2 right triangles with identical side lengths and an
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!