In ΔDEF, the measure of ∠F=90°, the measure of ∠D=54°, and EF = 39 feet. Find the length of FD to the nearest tenth of a foot.

Given:

The product of two consecutive numbers is 72.

To find:

The two numbers by using the quadratic equation.

Solution:

Let the two consecutive numbers are x and (x+1).

The product of two consecutive numbers is 72.

[tex]x(x+1)=72[/tex]

[tex]x^2+x-72=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x-8x-72=0[/tex]

[tex]x(x+9)-8(x+9)=0[/tex]

[tex](x+9)(x-8)=0[/tex]

Using zero product property, we get

[tex]x+9=0[/tex] and [tex]x-8=0[/tex]

[tex]x=-9[/tex] and [tex]x=8[/tex]

If [tex]x=-9[/tex], then

[tex]x+1=-9+1[/tex]

[tex]x+1=-8[/tex]

If [tex]x=8[/tex], then

[tex]x+1=8+1[/tex]

[tex]x+1=9[/tex]

Therefore, the two consecutive numbers are either 8,9 or -9,-8.

Answer:

a²+b²=c² hope that helps

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

Answer:

Step-by-step explanation:

If -x,y that would be Quadrant 2

Answer:

brainliest please

okay so angle O is connected to arc GU. to find angle O you musit find Arc GU

if Arc GO is 48 degrees and arc OU is 107 degrees, then you add those together.

107 +48=155

a circle has a total of 360 degrees

so 360-155= 205

205 is arc GU

205 divided by 2 will give you angle O

O is 102.5 degrees

Step-by-step explanation:

Answer:Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Step-by-step explanation:

Answer:340.25

Step-by-step explanation:

Given

Daily profit is given by

[tex]p(m)=2.25m-85[/tex]

If the number of meals sold is 189

Put [tex]m=189[/tex] in profit function

[tex]\Rightarrow p(189)=2.25\times 189-85\\\Rightarrow p(m)=425.25-85=340.25[/tex]

Answer:

Step-by-step explanation:

you know the total angle is 180° from A to D

and you know that ∠BEC is 90°

also you are told that ∠CED is 18°

and that ∠AEB is 4x°

so just put that all together

180=90 + 18 +4x

now solve for X

180-90-18=4x

72=4x

18 = x

so now you know X

now solve ∠AEB

4(18) = 72°

∠AEB= 72°

:)

Step-by-step explanation:

1.111 × 10^3=1111

hope it helps

Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

Answer:

the owner makes 2 dollars in sales every week

Step-by-step explanation:

on the chart/graph it shows 6 new customers every week and if you want to see how much more money the owner makes off of each customer then...

subtract the first weeks number of customers from the second weeks to get the answer of 6 new customers per week as you can see on the chart/graph (this really isnt to important though)

then divide the total number of customers for 1 week by the profits made for that week to get an answer of 2 dollars for customers.

(i hope you understand because i just confused myself with my own explanation)

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

Answer:

I agree with you its b

Step-by-step explanation:

Answer: so a 1 and 1/2 bag will cover 375

1=2/2

1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375

2/2 pounds covers x

3/2pound=375

multiply both sides by 2 to get rid of the fraciton

3pound=750

divide both sides by 3

1pound=250 square feet so the answer is c. 250 square feet

Step-by-step explanation:

Answer:

[tex]\frac{1}{7^3}[/tex]

Step-by-step explanation:

[tex]7^1/7^4\\= 7^1^-^4\\= 7^-^3\\= \frac{1}{7^3}[/tex]

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

Answer:

16?

Step-by-step explanation:

8 × 2 = 16

just correct me if i'm wrong i really dk what i'm doing rn

Answer:

16.2

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

10 squared = 100

19 squared = 361

361 - 100 = 261

square root of 261 = 16.2

[tex]10^{2} + 16.2^{2} = 19^{2}[/tex] is the equation

hope this helps

Mark brainliest please

Answer:

They say.. use Pythagorean theorem formula.... what is it?  :)  you have to remember it.    I'll put it below in case you don't remember  

Step-by-step explanation:

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] +[tex]B^{2}[/tex]

and I know, you're thinking..... what's the deal with all the letters... how do I add those up? :D .....  you are right... you can't add letters... the letters are just the variables... or places holders for numbers... you can put many different numbers into each of them but... the relationship.... which is made by the equal sign.. must hold true for any numbers you put in for the variables.... sooo.. like this.. for your particular answer

[tex]19^{2}[/tex] = [tex]10^{2}[/tex] + [tex]y^{2}[/tex]  

( notice I've put in a  " y " , where there is a B in the formula above but that's just a letter... again.. which is just a variable... the place holder for a number...  soooo..... )

361 = 100 + [tex]y^{2}[/tex]        ( subtract 100 from each side of the " = "  )

261 = [tex]y^{2}[/tex]                 ( to undo the square on the wye... square root both sides)[tex]\sqrt{261}[/tex] = y  

my calculator tells me that [tex]\sqrt{261}[/tex] = 16.15549442

they say round to the nearest 10th... soooo..

16.2  is  the answer  :)

Answer:

3

Step-by-step explanation:

lets just take two random points that are on the line ( it doesn't have to be a specific point)

(-2,0) and (-1 , 3) cuz why not

we need to find the difference of both the y coordinates divided by the difference of both the x coordinates

0-3  /  -2  -  (-1)

-3 / -1

3/1 = 3

Answer:

choose two random points of the line and....

slope of line=3

Step-by-step explanation:

In the photo

Answer:

422.5

Step-by-step explanation:

Given,

Diameter = 23.2

Radius = 23.2 ÷ 2 = 11.6

So, Area is

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 11.6 \times 11.6[/tex]

= 422.5184

As rounding to nearest tenth we check the hundreth digit i. e.

422.5184

Since, 1 is smaller than 5 so,

422. 5 (Ans) (Rounded to nearest tenth)

Answer:

A. mount

Step-by-step explanation:

Semoga bermanfaat

Which of these is not a trait of cnidarians?

spicules

a mouth

stinging cells

nervous system

Answer:

the answer is C

Step-by-step explanation:

Answer:

The difference in the unit rates of the jars of peanut butter is 0.4.

Step-by-step explanation:

In order to find the unit rates, you have to divide each price for the amount of units purchased with that price, which is:

27.12/8=3.39

26.53/7=3.79

Now, that you have the unit rate for each case, you have to subtract 3.39 from 3.79 to find the difference in the unit rates:

3.79-3.39=0.4

According to this, the answer is that the difference in the unit rates of the jars of peanut butter is 0.4.

Answer:

C. 14; it raises the man by about 1.9

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

hope this helps :)

Answer:

4.2

Step-by-step explanation:

it would be 2.40 plus 1.80

1

 2.40

+ 1.80

———

4.20

Answer:

The correct answers are A and C.

Step-by-step explanation:

Answer: A + C

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

24/40=60%

The percentage of the members of the band won a medal is 60%.

Given that, at a competition 24 of 40 members of a middle school band won a metal.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The fraction for 24 of 40 members is

24/40

So, the percentage

= 24/40 ×100

= 60%

Hence, the percentage of the members of the band won a medal is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

9514 1404 393

Answer:

  1. domain and range are all real numbers

  2. the relation is linear

Step-by-step explanation:

When the graph of a function is a straight line, the relation is linear. (That's what linear means.)

A linear relation is of degree 1, so has odd degree. Any odd-degree polynomial function has a domain and range of "all real numbers."

Answer:

1. Domain : all the real numbers

Range = all the real numbers

yes, this relation represents a linear function. (linear functions are always a straight line when graphed.)

Answer:

the answer would be C.... 12/13

Answer:

-2, 4. -2 is x and 4 is y

Step-by-step explanation:

hope this helps!

Answer:

175

Step-by-step explanation:

25(7) = 175

Answer: 175

Step-by-step explanation:

25+25+25+25+25+25+25=175

25 x 7 =175