1answer.
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
nataly862011 [7]
3 years ago
5

Amerada Hess company wants to make an oil container tank. Engineers are shown a sample tank. which is 1 meter in height, and the

y are told that the new tank should look similar to the sample. If the sample tank is 1/25 the size of the original tank. what is the height of the original tank?
A. 25m
B. 20m
C. 10m
D. 1m
Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
Since the sample is 1/25 the size and the size of the sample is 1m then:

1 = \frac{1}{25} x

x is the height of our container. we need to move 1/25 to the other side so we multiply both sides of the equation by 25.

25 \times 1 = \frac{1}{25} x \times 25

On the right side of the equation, 1/25 cancels out with 25 since:

\frac{1}{25} \times 25 = 1

so we are left with the 25 x 1 on the left:

25 = x

so the container is 25m; C.
You might be interested in
Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e
saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in R^{2}. To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.  

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle

Now, let's calculate each vector length by calculating the norm.

\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

8 0
3 years ago
What are the factors of 54 and 90?
amid [387]
9 and 3 are the only common factors between 54 and 90
8 0
3 years ago
Read 2 more answers
In the equation y = 6.7x, what is the constant of proportionality
devlian [24]

The constant in an equation would be the number multiplied to x,

In the equation y - 6.7x, the constant would be 6.7

4 0
3 years ago
the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of th
Ghella [55]
Y=3x-4
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis

6 0
3 years ago
I'm bored this summer and have interest in learning a new math. Although I only have experience with Algebra 1. Does anyone have
mel-nik [20]
Geometry is good!! :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • 12 men working 8 hours a day complete a piece of work in 10 days to complete a the same work in 8 days working 15 hours a days t
    5·1 answer
  • Write the pair of fractions 3/10 and 1/2 as a pair of fractions with a common denominator
    11·1 answer
  • 3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
    12·1 answer
  • Is 8/10 mile longer than 1/2
    6·2 answers
  • In 1994, the moose population in a park was measured to be 3000. By 1998, the population was measured
    6·1 answer
  • the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers
    10·1 answer
  • 100 freaking points get it right
    6·2 answers
  • 55 points! Brainlist for first answer!
    6·1 answer
  • Determineeeeeeeeeeeeeeee m < h
    7·2 answers
  • What is the domain and range of the following function
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!