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nydimaria [60]
3 years ago
10

A rectangular flowerbed at a city park has an area of 126 square meters. The width of the flowerbed is 3 meters. What is the per

imeter of the flowerbed?
Mathematics
2 answers:
iris [78.8K]3 years ago
3 0
The answer is 90.
the perimeter is 90<span />
Dennis_Churaev [7]3 years ago
3 0
The perimeter is 90
the length is 42 and the width is 3
so 42+42+3+3=90
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A 25 foot ladder is leaning against a house. If the angle of Elevation of the ladder is 72 degrees:
coldgirl [10]

Answer:

1. 23.8

2. 7.7

Step-by-step explanation:

<u>for the first blank</u>

use sin because x is opposite and 25 is hypotenuse

set up an equation:

sin(72)= (x/25)

multiply both sides by 25:

25(sin(72))= (x/25)25

25(sin(72))= x

multiply 25 by sin(72):

23.8 = x

<u>for the second blank</u>

use cos because x is adjacent and 25 us hypotenuse

set up an equation:

cos(72)= (x/25)

multiply both sides by 25:

25(cos(72))= (x/25)25

25(cos(72))= x

multiply 25 by cos(72):

7.7= x

3 0
3 years ago
Triangle ABC has side lengths of 4 units, 7 units, and 5 units. Use the Converse of the Pythagorean Theorem to prove that ABC is
zaharov [31]

Answer:

3

 16 + 25 = 49

1

 a^2 + b^2 = c^2

4

41 ≠ 49

2

 4^2 + 5^2 = 7^2

Step-by-step explanation:

8 0
3 years ago
Find the indicated function values for the function f(x) = 3x² + 2x - 6.
Mariulka [41]

The function values for the function f(x) = 3x² + 2x - 6, for the values are:

a. f(0) = -6

b. f(2) = 10

c. f(-4) = 34

d. f(b) = 3b² + 2b - 6

e. f(4a) = 48a² + 8a - 6

<h3>How are function values calculated?</h3>

To calculate function value f(k) for a function f(x), we substitute variable x = k, in the function f(x).

<h3>How to solve the question?</h3>

In the question, we are asked to find the function value for the function f(x) = 3x² + 2x - 6 for:

a. f(0)

b. f(2)

c. f(-4)

d. f(b)

e. f(4a).

We calculate these in the following ways:-

a. f(0):

We substitute the value of x = 0 in the function f(x).

Therefore f(0) = 3(0)² + 2(0) - 6,

or, f(0) = 0 + 0 - 6 = -6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>-6</u>.

b. f(2):

We substitute the value of x = 2 in the function f(x).

Therefore f(2) = 3(2)² + 2(2) - 6,

or, f(2) = 12 + 4 - 6 = 10.

Therefore, the function value f(2) for the function f(x) = 3x² + 2x - 6 is <u>10</u>.

c. f(-4):

We substitute the value of x = -4 in the function f(x).

Therefore f(-4) = 3(-4)² + 2(-4) - 6,

or, f(-4) = 48 - 8 - 6 = 34.

Therefore, the function value f(-4) for the function f(x) = 3x² + 2x - 6 is <u>34</u>.

d. f(b):

We substitute the value of x = b in the function f(x).

Therefore f(b) = 3(b)² + 2(b) - 6,

or, f(b) = 3b² + 2b - 6.

Therefore, the function value f(b) for the function f(x) = 3x² + 2x - 6 is <u>3b² + 2b - 6</u>.

e. f(4a):

We substitute the value of x = 4a in the function f(x).

Therefore f(4a) = 3(4a)² + 2(4a) - 6,

or, f(0) = 48a² + 8a - 6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>48a² + 8a - 6</u>.

Learn more about finding function values at

brainly.com/question/27943419

#SPJ2

4 0
2 years ago
Read 2 more answers
Simplify 6f+5g-3f+3g
VARVARA [1.3K]

Answer:

3f+8g

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
4) A garden is in the shape of a square with a perimeter of
Leni [432]

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = 4 \times Side

We are given that A garden is in the shape of a square with a perimeter of  56 feet.

So,4 \times side = 56

Side =\frac{56}{4}=14 feet

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = 4 \times side = 4 \times 18 = 72 feet

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =56 \times 1.21=67.76

Cost of fencing 72 feet = 72 \times 1.21=87.12

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

7 0
3 years ago
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