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
emmainna [20.7K]
9 months ago
9

In triangle ABC measure of angle A equals 45°. The altitude divides the side AB into two parts of 20 and 21 units. Find BC.

Mathematics
1 answer:
Nat2105 [25]9 months ago
4 0

In triangle  ABC, BC = 29 units.

Given,

In Δ ABC, ∠A = 45°.

A perpendicular line segment traced from a triangle's vertex to its opposite side is said to be the triangle's altitude.

Let altitude meet AB on D.

So, AD = 20 units and DB = 21 units and ∠ADC = ∠BDC = 90°

In ΔADC,

tan A = DC/AD

tan 45° = DC/20

          1 = DC/20

      DC = 20 units

In ΔBDC,

BC² = BD² + DC²     (Pythagorean Theorem)

      = 21²  + 20²

      = 441 + 400

      = 841

BC  = √841

      = 29  

Hence, BC = 29 units.

To learn more about triangle here  

brainly.com/question/2272632

#SPJ1

You might be interested in
Solve each equation below for x. <br><br> 2^(x+3)=2^2x<br><br> 3^5=9^2x<br><br> 3^(2x+1)=3^3
anzhelika [568]

Answer:

3^5=9^2x = 3

3^(2x+1) =3^3 = 1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If 75 is added to a number, the result is 39 less than three times the number.find the number
Luba_88 [7]

First, we would set the number to x.

Then, we turn the words into an equation.

x+75 = 3x-39

Isolate the x.

-2x = -114

So...

x = 57

3 0
3 years ago
The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in s
vaieri [72.5K]
<span>y = 3x² + 18x

factor out the leading coefficient
y = 3(x²+6x)

Complete the square
 coefficient of the x term: 6
 divide it in half: 3
 square it: 3²
 use 3² to complete the square:
y = 3(x²+6x + 3²) - 3·3²
 = 3(x+3)² - 3·3²
 = 3(x+3)² - 27
vertex (-3, -27)</span>
7 0
3 years ago
Read 2 more answers
What value for x will make the equation true?<br> -3 (7x - 5) = 87 + 3x
Gennadij [26K]

Answer:

x=-3

Step-by-step explanation:

follow the PEMDAS method then see if the 2 equation equal each other after plugging in the x.

7 0
3 years ago
Read 2 more answers
When running a 100 meter race Bill reaches his maximum speed when he is 45 meters from the starting line and 5 seconds have elap
Mkey [24]

Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

<h3>Methods used to calculate speed and distance traveled</h3>

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, <em>t</em> = 10 s - 5 s = 5 s

Speed = \mathbf{\dfrac{Distance}{Time}}

Therefore;

  • Bill's \  maximum \ speed = \dfrac{40 \ m}{5 \ s} = \underline{8 \ m/s}

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance,<em> s</em> = Speed, <em>v</em> × Time, <em>t</em>

<em />

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

  • Bill's distance from the starting line 8 seconds after start is 45 meters + 25 meters = <u>69 meters</u>

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

  • Bill's distance from the starting line 6.5 seconds after start of the race = 45 meters + 12 meters = <u>57 meters</u>

Learn more about distance, speed, time, relationship here:

https://brainly.in/question/49075584

6 0
1 year ago
Other questions:
  • 24m^2n+30mn^2+18mn, a sweet challenge!
    7·2 answers
  • On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to th
    14·1 answer
  • With the given information, write the equation for the line in slope intercept form. (-2, 1) (2, -2)
    5·1 answer
  • Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.
    8·2 answers
  • Square root -100 =?<br> Please help!
    5·1 answer
  • Which two ratios form a proportion? A) 3 : 4 and 6 : 12 B) 3 : 4 and 9 : 15 C) 3 : 4 and 12 : 18 D) 3 : 4 and 15 : 20
    5·2 answers
  • Start at 5. create a pattern that multiplies each number by 5. stop when you 5 numbers
    8·1 answer
  • X(x+5)&gt;0<br><img src="https://tex.z-dn.net/?f=%20%7C2%20-%20%20%2B%20%20%2B%20%7C%20" id="TexFormula1" title=" |2 - + + | "
    8·1 answer
  • Write a linear equation for each table relating X and Y
    14·1 answer
  • 10. +
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!