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
zalisa [80]
3 years ago
9

a quadrilateral ABCD in which angle DAB is a right angle. AB is 3.3cm, BC is 3.9cm, CD is 5.2cm and DA is 5.6cm. Find the length

of BD and show that angle BCD is 90°​

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

Part A) BD = 6.5 cm

Part B) see explanation

Step-by-step explanation:

See the attached figure

Part A) Find the length of BD

ΔDAB is a right triangle at A,  AB is 3.3cm ,  DA is 5.6cm

So, DB is the hypotenuse

Using Pythagorean equation:

DB = √(AD² + AB²) = √(3.3² + 5.6²) = √42.25 = 6.5 cm

===================================================

Part B) Show that angle BCD is 90°​

Given: CD is 5.2cm , BC is 3.9cm  and DB = 6.5 cm

So, CD² = 5.2² = 27.04

BC² = 3.9² = 15.21

DB² = 6.5² = 42.25

So, CD² + BC² = 27.04 + 15.21 = 42.25 = DB²

So, DB represent a hypotenuse at ΔBCD

So, the apposite angle of BD is a right angle

So, ∠BCD = 90°

You might be interested in
Find the slope of the line that goes through the given points.<br> (-9, -7) and (-7,9)
nika2105 [10]

Answer: 8

Step-by-step explanation:

slope = rise/run

slope = (-7-9)/(-9-(-7)) = -16/-2 = 8

7 0
3 years ago
Read 2 more answers
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
3 years ago
PLEASE HELP ITS MATH THANK YOUUUU
balandron [24]

Answer:

144% increase

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Jeremy gets an
Eduardwww [97]

Answer:

Jeremy gets an pad hdudbesid e hi d USB d b

8 0
3 years ago
Read 2 more answers
Pls help 20 points and mark brainliest
tatiyna
1:equilateral
2:isosceles
3:scalene
4:right
5:acute
6:obtuse
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which geometric series converges?
    15·2 answers
  • A number minus one is at the most nine, or two times the number is at least twenty-four.
    13·1 answer
  • Yolanda has $85 but spends $5 a day on Starbucks. How long until she runs out of money?
    12·2 answers
  • Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a
    12·1 answer
  • Simo scored 65 points in a game. Ella scored e points in the same game. If they scored a total of t points for the game, write a
    7·1 answer
  • In a class of 30 high school
    6·2 answers
  • Find the product of this​
    13·1 answer
  • 1. (x+y)2 when x= −3, y= 14
    12·1 answer
  • What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
    9·1 answer
  • What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!