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Hatshy [7]
3 years ago
11

Justin is pouring a concrete walkway around his grandmother's rectangular garden. He wants the walkway to be 3 feet wide all the

way around. If his grandmother's garden is 25 feet by 42 feet, what is the area of the top of the walkway
Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer: The area of the top of the walkway is 1,050 square feet

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Area of a rectangle: width x length  (of the base)

Replacing with the values given and solving for A:

A = 25 feet x 42 feet = 1,050 square feet

In conclusion, the area of the top of the walkway is 1,050 square feet

Feel free to ask for more if needed or if you did not understand something.

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What is the function written in vertex form?
lys-0071 [83]

Answer:

The answer in the procedure

Step-by-step explanation:

The question does not present the graph, however it can be answered to help the student solve similar problems.

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

If the coefficient a is positive then the parabola open up and the vertex is a minimum

If the coefficient a is negative then the parabola open down and the vertex is a maximum

case A) we have

f(x)=3(x+4)^{2}-6

The vertex is the point (-4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case B) we have

f(x)=3(x+4)^{2}-38

The vertex is the point (-4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

case C) we have

f(x)=3(x-4)^{2}-6

The vertex is the point (4,-6)

a=3

therefore

The parabola open up, the vertex is a minimum

case D) we have

f(x)=3(x-4)^{2}-38

The vertex is the point (4,-38)

a=3

therefore

The parabola open up, the vertex is a minimum

4 0
3 years ago
A slide 4.4 m long makes an angle of 33 with the ground. How high is the top of the slide above the ground
svp [43]
Using the information given we will only need the Cosine and Sine equations.  i made a diagram (cant take a picture, in my study hall) labeled the sides of the triangle A, B, and C.  with C as the hypotenuse, A as the Opposite, and B as the adjacent (will not be needed as A is the height). i will be rounding the th nearest thousandth. 
Using Sine (SIN=Opposite/Hypotenuse), we can find A.

SIN(33)=A/4.4

SIN(33)≈.545

.545≈A/4.4

now multiply each side by 4.4 to get rid of the division

(.545*4.4)≈((A/4.4)4.4)

2.396≈A
 

so the answer would be that the slide is about 2.396 M high
5 0
3 years ago
Look at the pattern below.
jonny [76]

Answer:

21 squares

Step-by-step explanation:

6+5+4+3+2+1=21

7 0
3 years ago
PLEASE HELP! IM ALMOST DONE WITH THIS ASSIGNMENT PLSSS HELPP ILL GIVE BRAINLIEST SHOW UR WORK
Talja [164]

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

7 0
2 years ago
Read 2 more answers
Write an integer for each situation. 3 miles below sea level u may solve the other ones?
Evgen [1.6K]

"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.

"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.

"moving back 5 spaces" is represented by -5 whereas moving forward 5 spaces is +5 or simply 5.

6 0
3 years ago
Read 2 more answers
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