Ask question

Ask question

All categories

3 years ago

14

Lana is planting a garden that is going to have an area of 432 square feet. She wants the length of the garden to be 3 times the

width of the garden. What is the width of the garden?

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer: 108 feet

Step-by-step explanation:

Area of a rectangle = l x w

432 = 3x + x

432 = 4x

432 /4 = x: x = 108 = width

You might be interested in

Find the volume of the following figure using unit cubes.

krok68 [10]

Answer:

<h2> 64 units³</h2>

Step-by-step explanation:

2 units × 4 units × 8 units = 64 units³

5 0

2 years ago

CAN SOMEONE PLEASE HELP ME??

Luba_88 [7]

Answer:

Step-by-step explanation:

the answer is 14

4 0

2 years ago

Read 2 more answers

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

2 years ago

More Questions! Enjoy!

vladimir1956 [14]

Answer:

1. ?

2. 1/10

3. 1/8

Step-by-step explanation:

number 3 result in decimals is 0.125

7 0

2 years ago

Read 2 more answers

I’ve asked 3 times and no one knows pls helpahh

BigorU [14]

<h3>Answer: x = 21</h3>

Explanation:

The two angles shown combine to 180 degrees because the angles form a straight line.

(3x+18)+(4x+15) = 180

7x+33 = 180

7x = 180-33

7x = 147

x = 147/7

x = 21

7 0

2 years ago