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
Sergeeva-Olga [200]
3 years ago
14

Please help thank you.

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0
This problem can be completed in 2 ways. Both are acceptable.

Option 1:


This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.

The area of the rectangle is the base times the height.

9 \times 4=36

The area of one of the triangles is half the base times the height.

\dfrac{1}{2} \times 5 \times 4 = 10

The other triangle must have that area too.

36+10+10=56

The area is 56 square centimeters.

Option 2:

We can use the area formula for the trapezoid.

A=\dfrac{b_1+b_2}{2} \times h

Where b_1 is the length of the shorter base
and b_2 is the length of the longer base
and h is the height.

The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.

The height is 4.

A=\dfrac{9+19}{2} \times 4

=56

Same answer. The area is 56 square centimeters.

Both options are two acceptable ways the problem can be tackled.
You might be interested in
A ball weighs 15 pounds on Earth and 5.7 on Mars. What is the constant proportionality between the weight of an object on Mars a
Diano4ka-milaya [45]
Mars is about 2.3 times less weight
6 0
3 years ago
Gail collects trading cards. Her favorites are baseball and football cards. For
mamaluj [8]
I think it’s c but don’t go with me see if others answer with a different answer :)
8 0
2 years ago
Read 2 more answers
Please help me answer this.
inna [77]

Answer:

D. 4,-1

Step-by-step explanation:

The mathmatical way to solev it is to find the linear equation and plug in the points, but i just looked at the graph to see which point was in the shaded region.

5 0
3 years ago
the cheerleading squad made 4 5/8 gallon of lemonade to sell at the basketball game. they sold 2 7/8 gallons. how many gallons w
andrezito [222]
4 5/8 = 37/8
2 7/8= 23/8
37/8-23/8=14/8=1 6/8=1 3/4
5 0
3 years ago
A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0
3 years ago
Other questions:
  • It costs 33 tickets to play a game at the fair. If you spent 2121 tickets on the game, which equation could you use to solve for
    13·2 answers
  • How to simplify 81 1/2
    11·2 answers
  • 4. If you multiply a whole number by a fraction.... what
    9·2 answers
  • What number must you add to complete the square <br> x^2 + 12x = -3
    15·1 answer
  • there are 11 students in summer school. The teacher took a survey of how many pets the students had in their homes. The students
    11·1 answer
  • What is the value of x? pls help!! :(
    15·2 answers
  • Which of the following is a pair of equivalent radical expressions?
    12·1 answer
  • A store is having a sale in which the cost of any item is 35% off.
    12·1 answer
  • Rewrite an equation so does not have fractions 5/6x+2=3/6
    14·2 answers
  • Calculate the value of 2a + 3b if a = -1 and b = 2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!