A patio is in the shape of a square, with a lengh of 35 feet. You wish to draw a black line down one diagonal.

a. Use the Pythagorean Theorem to find the lengh of the diagonal. Write your answer as a square root.

b. Find the two perfect squares that the lenght of the diagonal falls between.

c. Estimate the lenght of the diagonal to the nearest tenth.​

Answers

Answer 1

Answer:

a) 35√2

b) between 25 and 36 (5² and 6²)

c) 49.5 ft


Related Questions

solve for x.
hint: use your knowledge of parallel lines. what do you know about these angles? are they congruent or supplementary?

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are supplementary which means their sum is 180

8x - 6 + 98 = 180 add like terms

8x + 92 = 180 subtract 92 from both sides

8x = 88 divide both sides by 8

x = 11

to rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $6 per hour. The chemistry club wants to spend at most $72 on renting the room. what are the possible numbers of hours the cemetery club could rent the meeting room? use t for the number of hours. write your answer as an inequality solved for t.

Answers

Answer:

t ≤ 9 hours

Step-by-step explanation:

Reservation fee = $18

Additional fee per hour = $6

Let x = number of hours

At most in inequality means ≤ less than or equal to

The inequality is

18 + 6t ≤ 72

6t ≤ 72 - 18

6t ≤ 54

t ≤ 54/6

t ≤ 9 hours

Is (2,1) a solution to y> 2x-1

Answers

1>2*2-1
1>4-1
1>3
False So No

which is greater 20.903 or 2.209

Answers

Answer:

20.903

Step-by-step explanation:

Answer:

20.203

Step-by-step explanation:

Solve for the missing variable given the rhombus (8x+58)

Answers

Answer:

the answer is already simsplified and there isnt a photo

if you what it factored then the answer would be 2(4x+29)

PLS HELP!!!! MARKING BRAINLIEST

Answers

Answer:

for 9

Step-by-step explanation:

john grabs a piece of kitchen twine, he grabs the whole length of 8 ft. He 1/2 off. He then cuts another half of on each piece of twine. How many pieces of kitchen twine does john have?

if the ratio of milk and water in 45 litre is 7:2. if 4 litre water is added what will be the new ratio.​

Answers

Answer:

5 : 2

Step-by-step explanation:

sum the parts of the ratio, 7 + 2 = 9 parts

Divide the quantity by 9 to find the value of one part of the ratio

45 litres ÷ 9 = 5 litres ← value of 1 part of the ratio , then

7 parts = 7 × 5 = 35 litres

2 parts = 2 × 5 = 10 litres

In 45 litres there is 35 litres of milk and 10 litres of water

Adding 4 litres of water gives

35 : 14 = 5 : 2

Find the equation of the line that
is parallel to y = 2x + 5 and
contains the point (2, -4).
y = 2x + [?]

Answers

Answer:

y=(9,-8)

Step-by-step explanation:

2(2,-4) will give you (4,-8)

therefore y=(4,-8)+5

4+5 which is 9 and nothing will be added to -8

y=(9,-8)

Answer:

y=2x-8

Step-by-step explanation:

The dot plots show the total number of hours students spent on homework for one week at
two different schools.
Which statement is supported by the information in the dot plots?

Answers

Answer:

B

Step-by-step explanation:

The polygons are regular polygons. What is the area of the shaded region?



Please my brain literally can’t process this...

Answers

Answer:  

shaded Area hexagon = Around 281 squared feet

shaded area square  24 squared inches

Step-by-step explanation:

regular hexagon is made up of 6 equilateral triangles. All sides are equal

The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

Side big hexagon = 12

side small hexagon = 6

BIG    A=  (3√3 144)/ 2 =   374.1230...

small  (3√3 36)/ 2 = 93.5307...

shaded = BIG minus small

374.1230... - 93.5307... = 280.5923... squared feet

 

BIG SQUARE   diagonal = 8

area of a square using diagonals = ½ × d2 Square units.

= ½ × 64  =   32     Square units.

small square   (diagolal 4)

½ × 16 Square units. = 8  square inches

Area shaded  32-8 = 24 square inches

Find the value of x to the nearest tenth

Answers

Answer:

X = 7.24 or 7.2

Step-by-step explanation:

Tan46/1 = x/7

Cross multiply to get this outcome:

7tan(46)

Put into calculator

Then your answer will be X = 7.24 or 7.2

Hope that helps :)

What’s the answer????(i will mark whoever answers the question right as Brainelist)

Answers

Bob was enrolled in yoga classes for 1 year = 12 months

HELP PLEASE ILL MARK BRAINEST IF UR RIGHT. Gems math

Answers

Using the Pythagorean theorem where a^2 + b^2 = c ^2

Plugging in the variables you would have

9^2 + 7^2 = 130

Sqrt 130 = 11.40

Your answer is 11.40

I had trouble plotting the midpoint lol but can someone plz help me :c​

Answers

midpoint is (-1 and -1.5)

Answer:

Step-by-step explanation:

midpoint rule is    x2+x1 / 2  , y2+y1 / 2

where point one is P1 = (x1,y1) = (4,3)

and point two is P2 = (x2,y2) = -6,-6

for x   then,  -6+4 / 2 = -2 / 2   =  - 1

for y then,  -6+3 / 2 = -3 / 2  =  - [tex]\frac{3}{2}[/tex]

mid point is  ( -1 ,  - [tex]\frac{3}{2}[/tex] )

What is the surface area of the rectangular pyramid

Answers

Answer:

88.8 cm square

Step-by-step explanation:

What is the diameter of a circle if the circumference is approximately 47.12 ft?

FREE POINTSS

Answers

Answer:

94.24 ft and thank you!

Step-by-step explanation:

Answer:94.24ft

Step-by-step explanation:thx :)

Please help its urgent
Alexandra finds out that she can give 3 haircuts and 2 hair dyes in 315 minutes.Giving 2 hair cuts and 4 hair dyes takes 450 minutes.How long does it take her to do 1 haircut.
3x+2y=315
2x+4y=450
30 minutes
45 minutes
60 minutes 3x+4y=450
90 minutes 2x+4y=315

Answers

450/30

15

15/3x =5

x= 5

5+2y= 315

5-5+2y =315-5

2y = 310

2y/2 = 310/2

y=155

Step-by-step explanation:

450/45

10

2x+4y=450

2×5=10

10+(4×155)

=620/155

=4

10/5=2

I HAVE 2 MIN PLS HELP

Answers

Answer:

C (ignore this it asked for 20 characters)

If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18

Answers

Answer:

18 is the correct answer

Step-by-step explanation:

to find f(6) you only need to put value 6 in place x and then simple  addotion subtraction

f(6)=4(6)-6

f(6)=24-6

f(6)=18

I need your help please!!! :)

Answers

Answer:

(-6.5, 3)

7.2units

Step-by-step explanation:

Given the coordinate

A =(-26, -15)

B = (13, 21)

Midpoint of A and B is expressed as;

X = -26+ 13/2

X = -13/2

X = -6.5

Y = -15+21/2

Y = 6/2

Y = 3

Hence the required midpoint is (-6.5, 3)

b) The distance between the coordinate (-6.5, 3) and (0,0) is expressed as;

D = √(-3)²+(0+6.5)²

D = √9+42.25

D = √51.25

D = 7.2units

Hence the distance between the  midpoint and the base camp is 7.2units

The first 3 common denominators of 1/12and 1/4 are

Answers

The answer is 12, 24, 36 Hope this helps :)

A survey was given to a random sample of students attending college in which they were asked, "As a college student, do you feel like your high school prepared you for your college experience?" The data showed that 54% of the 600 students surveyed replied yes. What is the population of the statistical question? A. All students attending college B. All students in high school and college C. The 600 students who were surveyed D. The 54% of students who replied yes​

Answers

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

Select the Equation that has a solution of: (b=6)
A.6+b = 8
B.Sb = 48
C.70 - b = 61
D.11-6=4

Answers

A : B=2
B : S=48/b
C : B=9
D : 5=4

There are fewer than 3 gallons of gas in the tank. Use as your variable.

The inequality is

Answers

>3. its less than 3 because it is

Together Alex and Lily have 12 cats. If Alex has 3, write an equation to find out how many lily has.

Answers

Answer:

12-3 lily has 9 cats

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

12 - 3 = 9

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

The height of a falling pinecone can be represented by y = -16° +64 where t is the time in seconds
and y is the height of the pinecone in feet. Write and solve an equation to find the number of seconds it
will take for the pinecone to reach the ground.
A. 4 seconds
B. 6 seconds
C. 2 seconds
D. 1.5 seconds

Answers

Answer:

4 Seconds

Step-by-step explanation:

Let's say the height of the ground is set at y = 0.

Then, since 16 times 4 is 64, we substitute 4 for x.

But wait! x is being squared!

So we need to find out what squared is 4. It's 2.

So, with x being equal to two, y is equal to 0.

But what is the number of seconds? We actually got it first.

That means that the answer is 4.

The pinecone takes 4 seconds to reach the ground.

[Please read first] I will NOT be taking links or download files as an answer you may NOT get credit for it thank you.

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in.

The prism is filled with cubes that have edge lengths of 1/2 in.

How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, [ ] cubes are needed.

Answers

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

The roots of a quadratic function are 6 and -2. Which is a possible vertex of the function?

A (-2,-4)

B (-8,-2)

C (-2,0)

D (-8,4)

Answers

Is the letter A, thanks for you points

The possible vertex of the function is (2, -16).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Let f(x) = ax² + b x + c be the function required.

Roots are 6 and -2.

Equation can be written in the factorized form as,

(x - 6) (x + 2) = 0

x² - 6x + 2x - 12 = 0

x² - 4x - 12 = 0

f(x) = x² - 4x - 12

Vertex of a function f(x) = ax² + b x + c is (h, k) such that h = - (b/2a) and k = f(h)

h = - (-4/2) = 2

k = f(2) = 4 - 8 - 12 = -16

Hence the vertex of the function is (2, -16).

Learn more about Quadratic Functions here :

https://brainly.com/question/29775037

#SPJ6

an airplane traveled 1000 miles in 2 hours how long would it take that plane to travel 5000 miles if it travels at the same speed

5hours
6hours
7hours
10hours
12hours

Answers

Answer:

10 hours

Step-by-step explanation:

Create a proportion where x is the number of hours to travel 5000 miles

[tex]\frac{1000}{2}[/tex] = [tex]\frac{5000}{x}[/tex]

Cross multiply and solve for x

1000x = 10000

x = 10

So, it will take 10 hours.

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