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
djverab [1.8K]
3 years ago
7

The parallelogram shown bellow has an area of 15 units over 2

Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

The value of h is \frac{5}{2} units

Step-by-step explanation:

  • In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2
  • The area of parallelogram = b1 × h1 <em>OR</em> b2 × h2

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = \frac{15}{2} units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ \frac{15}{2} = 3 × h

∴ \frac{15}{2} = 3h

→ Divide both sides by 3 to find h

∵  \frac{15}{2} ÷ 3 = 3h ÷ 3

∴ \frac{15}{6} = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

∴ h = \frac{5}{2} units

You might be interested in
Lisa has twelve fewer dimes than quarters, for a total of $11.05
SVEN [57.7K]
So set up the equations
q-12=d
25q+10d=1105
plug in q-12 as d in the second equation:
25q+10q-120=1105, then simplify:
35q=1225
q=35
since there's 12 fewer dimes, we know that there's 23 dimes and 35 quarters.
5 0
3 years ago
Patrick added 1/4 teaspoons of cayenne pepper and 1/3 teaspoons of black
GalinKa [24]
Find the lowest common denominator and add.
1/4 or 3/12 of cayenne + 1/3 or 4/12 of black pepper = 7/12 teaspoons of spices total
5 0
2 years ago
How do i solve this?
Leni [432]

Answer: this is hard I hate math sorry

Step-by-step explanation:

:(

3 0
3 years ago
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dyesolution with a c
nordsb [41]

Answer:

Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds

Step-by-step explanation:

Let Q(t) = amount of dye for all time,t.

Let Q'= rate in - rate out.

But Q/200 = concerntration of dye

Therefore rate out= Q/200 ×2.

Q'/Q = - 1/100

Dividing by Q gives

Ln/Q/ + c = -1/100t + c1

Integrating both sides with respect to t

Ln/Q/ = -1/100t + c2.

c1 and c1 are just another constants

Q= c3e^-t/100

Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3

200= c3-0/100

c3= 200

2= 200e^-t/100

Ln1/100= - t/100

Ln0.01 = - t/ 100

Cross multiply

t= Ln0.01 × 100

t = 4.6052 ×100

t = 460.52seconds

7 0
3 years ago
What is the value, to the nearest tenth, of 15 x 3 - 12 x 2 when x = 2.5​
Alekssandra [29.7K]

Answer:

159.4

Step-by-step explanation:

I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out

15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375

rounded is 159.4

4 0
3 years ago
Other questions:
  • Write the number with the same value as 32 tens
    8·2 answers
  • A science student wants to study how fast an ant walks which quantity makes the most sense for his study
    14·1 answer
  • grapes cost 2.09 per pound. john bought 3.25 pounds. how much will john pay for the grapes? show work​
    12·1 answer
  • Help math !!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
  • Two trapezoids have areas 54 cm2 and 24 cm2. Find their ratio of similarity.
    10·2 answers
  • Evaluate the ex’s press ion when a=2 and c= -6. 2a+c
    5·1 answer
  • g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
    14·1 answer
  • A 100 ftladder leans against a building. When the angle of elevation of the ladder is 81 degrees, how high up the building will
    6·2 answers
  • Given points A(3,1) and B(5,3) find the point P in the interval [3 ,5] along the X-Axis that MAXIMIZES angle APB.
    9·1 answer
  • The numerical value of sin²5° + sin²10° + sin²15° +... sin²85° + sin²90° is equal a) 17/2 b) 19/2 c) 15/2 d) 13/2​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!