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
9966 [12]
3 years ago
5

Find the value of t in the diagram

Mathematics
2 answers:
12345 [234]3 years ago
5 0

In a trapezoid, with bases b and B and height h, the area is given by


A = \frac{(B+b)h}{2}


In your case:


B = BC = 3t

b = AD = t

h = AB = t


so, the formula becomes


A = \frac{(3t+t)t}{2} = \frac{4t^2}{2} = 2t^2


Since the area is 50 \text{cm}^2, we have


2t^2 = 50 \iff t^2 = 25 \iff t = 5

igomit [66]3 years ago
4 0

Answer


5 cm



Explanation

The figure shown is a trapezium.

The area of a trapezium is given by;


Area = 1/2 h( a+b)

Where h ⇒perpendicular distance between the two parallel sides 

a and b ⇒length of the parallel sides.

h = t

a =t

b = 3t


1/2 t(t+3t) = 50

1/2 ×t × 4t = 50

1/2 ×4t²=50

2t² = 50

dividing both sides by 2

t² = 25

t = √25

= 5 cm

You might be interested in
(−2)∙(2a−b)+3(a+b) plz help
tangare [24]

Answer:

-a+5b

i hope this help you out ;)

3 0
3 years ago
ALGEBRA 2 PLEASE HELPP!!!
Sunny_sXe [5.5K]
I am only 11 not 20
8 0
2 years ago
Read 2 more answers
There is a population of three bacteria in the colony if the number of bacteria doubles every 48 minutes what will the populatio
Mashutka [201]
The population of the bacteria 96 minutes from now is 12.
7 0
3 years ago
A certain television is advertised as a 21-inch TV (the diagonal length). If the height of the TV is 13 inches, how wide is the
zubka84 [21]

Answer:

4.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many servings of<br> cups are in 33 cups of ice cream?
Galina-37 [17]

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of <u>cups</u> are in <u>33 cups</u>".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

5 0
3 years ago
Other questions:
  • Consider the combined function. f(X) + g(X) = 9x + 4 . If f(x) = 4x - 3, find g(x)
    13·1 answer
  • Add.<br><br> Express your answer in simplest terms.<br><br> 1/5+2/3
    8·2 answers
  • В та<br> If B = 49°13' and b - 10 find a<br> a. 4.6<br> b. 8.6<br> C.<br> d.<br> 5.4<br> 6.5
    11·1 answer
  • (08.03) The dot plot below shows the number of items in the basket of some shoppers: Which of the following statements best desc
    6·1 answer
  • Jane can type 150 words in 2 minutes. How many<br> words can she type in 5 minutes?
    12·1 answer
  • X y
    8·1 answer
  • If Zoe speed is 24 mph what is it in yards per minutes
    15·1 answer
  • Need help with #13 please help anyone
    14·1 answer
  • Given the following equation answer each question below.
    13·1 answer
  • Which sentence represents this
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!