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
notsponge [240]
3 years ago
13

In the triangle ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.

Mathematics
1 answer:
Basile [38]3 years ago
8 0

Step-by-step Answer:

AN is height, so A is perpendicular to BC.  (See image attached).

BN = 18

AN = 24

AC = 40

All as labeled.

ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30

ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32

=>

BC = BN + NC = 18 + 32 = 50

You might be interested in
Need answer urgently.
Feliz [49]
Hey hey hey I see no picc
4 0
3 years ago
A party of 5 wants to tip 20% of their total $175 bill. If divided evenly, how much should each person tip?
Mashcka [7]
20% of $175 is $35. Divided between 5 people (35/5=7) would be 7. So each person should tip $7.
6 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.
mojhsa [17]
The Slope of "<span>2x - 3y - 5 = 0" is:

m = 2/3.

Use the mx+y formula to solve this question.  

The correct answer is: B 

This is a verified answer.  </span>
3 0
3 years ago
Read 2 more answers
No Tessa and Kari are swimming
Mamont248 [21]

Answer:

what is the question?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • ABCD is a rectangle. E is the midpoint of BC , F is the midpoint of AB and G is the point of intersection of AE and CF . If the
    14·1 answer
  • What's the answer to this
    7·2 answers
  • Explain how to find the absolute value of an interger
    15·1 answer
  • Find the slope and the y-intercept for the line. y=2/5x
    13·1 answer
  • Y+4/12-y-1/12=y/2<br><br> Pls! on a time limit
    6·2 answers
  • The width of a triangle is represented by 5 +2y. The length is twice as long as the width. What is the perimeter of the rectangl
    14·1 answer
  • A school allots £1500 to spend on a trip to the theatre.
    12·2 answers
  • A carpenter is buying materials. The carpenter needs 36 screws that are 1.5 inches long, 24 screws that are 2 inches long, and 1
    14·1 answer
  • Answer these 3 pleaseeeeeeeeeeeeeeeeeeeeeeeeee
    9·2 answers
  • What value completes this expression?<br><br> 4m + ____m = 4m (1 + 6)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!