What is the equation of the line that is perpendicular to the line y=6 and passes through the point (-4-3)?

Maddie's backyard is 25 meters by 25 meters. She wants to put a square cement patio in her backyard. She does not want the patio

luda_lava [24]

The inequality that represents the possible length of the patio is √A < 625.

<h3 /><h3>How to represent an inequality?</h3>

Maddie's backyard is 25 meters by 25 meters.

Therefore,

area of the backyard = 25 × 25 = 625 m²

Hence,

She wants to put a square cement patio in her backyard.

A = area of the patio, in square meters.

Hence,

area of the backyard = 625 m²

Therefore, the inequality that represents the possible length of the patio is √A < 625.

learn more on inequality here: brainly.com/question/23919881

#SPJ1

3 0

1 year ago

I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd

Alex

Answer: $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula: $A=P(1+\frac{r}{n})^{nt}$ where

A is the accrued amount (balance)
P is the principal (initial amount invested)
r is the interest rate (in decimal form)
n is the number of times compounded each year
t is the time of the investment (in years)

Given: P = 4,900

r = 3.5% (0.035)

n = 2

t = 5

$A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\$

5 0

3 years ago

7.7.4 Practice: Modeling: Similarity Theorems will give brainliest

Nimfa-mama [501]

Similar triangles may or may not be congruent

The height of the peak is 72 feet
The triangles are similar by AA similarity postulate

<h3>How to determine the similarity statement</h3>

First, we determine the height of the peak using the following equivalent ratios

P B : B M = T F : F M

So, we have:

$PB : 20ft= 6ft : 1ft\ 8in$

Express the units in inches

$PB : 240in= 72in: 20in$

Express as fractions

$\frac{PB}{240} = \frac{72}{20}$

Multiply both sides by 240

$PB = \frac{72 * 240}{20}$

$PB = 864$

Express as feet

$PB = 72 feet$

So, the height of the peak is 72 feet

The ratio also means that the triangles are similar by AA similarity postulate

Read more about similar triangles at:

brainly.com/question/14285697

5 0

1 year ago

L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.

kow [346]

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

7 0

2 years ago

Which expression has a value that is less than the base of that experience?

Rom4ik [11]

Answer:

(B) $(\frac{5}{6})^{2}$

Step-by-step explanation:

(A) The given expression is: $2^{3}$

= $8$

The value of this expression is 8 which is greater than the base of the expression that is 2.

(B) The given expression is: $(\frac{5}{6})^{2}$

= $\frac{25}{36}$

= $0.09$

The value of this expression is 0.09 which is smaller than the base of the given expression that is 0.83.

(C) The given expression is: $3^{2}$

= $9$

The value of this expression is 9 which is greater than the base of the given expression that is 3.

(D) The given expression is: $4^{4}$

= $256$

The value of this expression is 256 which is greater than the base of the given expression that is 4.

Hence, Option B is correct.

6 0

2 years ago