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
elena55 [62]
3 years ago
10

Engineers are planning a new bridge to cross a small river. Surveyors created the diagram to show where the bridge would cross t

he river. What is the distance across the river where the new bridge will be built?
Mathematics
2 answers:
MrRissso [65]3 years ago
8 0

Answer:

56.25

Step-by-step explanation:

I took the quiz.

Bogdan [553]3 years ago
6 0

Answer:

  • 56.25 feet

Step-by-step explanation:

As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the

Let the distance across the river be x.

<u>The ratio of corresponding sides is same. Find x using ratios:</u>

  • x/45 = 75/60
  • x = 45*75/60
  • x = 56.25 feet

You might be interested in
Can anyone please help me with this? I don't know how to do it.
ycow [4]

Answer:


Step-by-step explanation:

The easiest way to fill out the graph is to find the slope.

The slope is y = 2x + 1.

Insert the x values of the graph for x in the equation to find y.

y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).

y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).

Then, for finding x, just insert y.

1 = 2x + 1. Subtract 1 from both sides to isolate x.

0 = 2x. x = 0. (0, 1).

y = 2(2) + 1 = 4 + 1 = 5. (2, 5)

3 = 2x + 1. Subtract 1 from both sides.

2 = 2x. x = 1. (1, 3).

The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.

4 0
3 years ago
A rectangle has a base of 5 cm and a height of (x + 2)cm. Its area is 20 cm ^ 2. What is the value of x?
Len [333]
So area is base x height:
5(x+2)=20
5x+10=20
5x=10
x=2
its A
3 0
3 years ago
How do you find a vector that is orthogonal to 5i + 12j ?
Rashid [163]
\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\&#10;slope=\cfrac{a}{{{ b}}}\qquad negative\implies  -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\&#10;-------------------------------\\\\

\bf \boxed{5i+12j}\implies &#10;\begin{array}{rllll}&#10;\ \textless \ 5&,&12\ \textgreater \ \\&#10;x&&y&#10;\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}&#10;\\\\\\&#10;slope=\cfrac{12}{{{ 5}}}\qquad negative\implies  -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}&#10;\\\\\\&#10;\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}&#10;\\\\\\&#10;\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}&#10;\\\\\\&#10;\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}
4 0
3 years ago
The sunrise café gets tea bags of 1,000. If the café charges $1.75 for each cup of tea, and each cup of tea gets 1 tea bag, how
Setler [38]

Answer:

You would do $1.75 x 1,000. That would be 1$,750. Then, you would take away that $95 because they spent buying the box of tea bags, and their total would be $1,750 - $95 = $1,655.

5 0
2 years ago
Can someone please explain this to me?!?
mixas84 [53]

Well simply put we know that Celia's collection of cards is bigger because it tells us that it is 4/3 times bigger than franks. If you convert 4/3 to a percent you would see that is is over a hundred percent, so you know hers is bigger than his.

3 0
2 years ago
Other questions:
  • What is the equation in point-slope form for the line parallel to y = –2x + 10 that contains J(6, 8)?
    5·1 answer
  • Please answer this correctly I have to finish this today as this is my deadline
    6·1 answer
  • Four employees of Papa Tony's Pizza are cleaning up at the end
    15·1 answer
  • The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of
    11·1 answer
  • A packing operator can assemble 4 cardboard boxes in 5 minutes. At this rate, how many boxes can she assemble in 25 minutes?
    15·2 answers
  • What is the value of a?
    7·1 answer
  • Please answer im wasting pointss!!!!
    13·1 answer
  • A teacher wrote these numbers on the board: -5, -3,
    6·1 answer
  • What’s the square root of 8<br> (20 points)
    6·1 answer
  • Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!