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3 years ago

Type the correct answer in the box.

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

Answer:

2(\frac{Area}{h} ) - b1 = b2

Step-by-step explanation:The formula for calculating the area of a trapezoid is the following.

Area = \frac{b1+b2}{2} * h

What we are asked to find is the formula for finding b2. We can do this by rearranging the Area formula and getting b2 by itself on one side.

Iteru [2.4K]3 years ago

3 0

9514 1404 393

Answer:

b2 = 2A/h -b1

Step-by-step explanation:

The usual formula for the area of a trapezoid is ...

$A=\dfrac{1}{2}(b_1+b_2)h$

We can solve this for b2:

$\dfrac{2A}{h}=b_1+b_2 \qquad\text{multiply by $\dfrac{2}{h}$}\\\\ \dfrac{2A}{h}-b_1=b_2 \qquad\text{subtract $b_1$}\\\\ \boxed{b_2=\dfrac{2A}{h}-b_1}$

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What is the rectangular equivalence to the parametric equations?

zaharov [31]

Notice that

(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9

… = sin²(θ) + cos²(θ)

… = 1

Solve for y in terms of x :

(x - 1)²/4 + (y + 2)²/9 = 1

(y + 2)²/9 = 1 - (x - 1)²/4

(y + 2)² = 9 - 9/4 (x - 1)²

y + 2 = ± √(9 - 9/4 (x - 1)²)

y + 2 = ± 3/2 √(4 - (x - 1)²)

y = -2 ± 3/2 √(4 - (x - 1)²)

In order for the square root to be defined, one needs

4 - (x - 1)² ≥ 0

(x - 1)² ≤ 4

-2 ≤ x - 1 ≤ 2

-1 ≤ x ≤ 3

so x must belong to the interval [-1, 3].

4 0

3 years ago

Solve for u. u^2+19u=0

Sergio [31]

$u^2+19u=0
$

Factor out the common term u

$u(u+19)=0$

$u=0,-19
$

5 0

4 years ago

Help please .. please

sergey [27]

Answer:

P $\rightarrow (90,1)$ and Q $\rightarrow (180,0)$

Step-by-step explanation:

For the function $y=sin(x\°)$

Since $sin(x\°)$ has maximum value at $x=90\°$ which is $=1$

∴ P is the maximum point which has co-ordinates=(90,1)

Point Q lies at $y=0$ and $sin(x\°)=0$ when $x=180\°$

∴ Q has co-ordinate as =(180,0)

6 0

4 years ago

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.7 years, with a standard devia

serious [3.7K]

Answer:

$z=-1.81$

Step-by-step explanation:

We have been given that the ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 28.7 years, with a standard deviation of 3.7 years.

To transform the age of a 22 years old winner to a z-score we will use z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,