what is the distance between ( 4, 7 ) and ( 2, 2 )

Answer:D

Step-by-step explanation: Got it right on the test

Answer:

a pack of three 8-ounce containers his is a better purchase

Step-by-step explanation:

In this case, what we must do is calculate the price per ounce and the one with the best value is the best purchase:

option 1: a pack of four 6.5-ounce containers of ice cream for $ 3.77

3.77 / (4 * 6.5) = 0.145

option 2: a pack of three 8-ounce containers for $ 3.87

3.87 / (3 * 8) = 0.161

The value of the price per ounce is less in option 1, therefore, this is a better purchase

Answer:

$33.6.

Step-by-step explanation:

40 x .16 = 6.4

40 - 6.4 = 33.6.

Feel free to let me know if you need more help. :)

Answer:

The area of this plate is [tex]36.31\ \text{inches}^2[/tex].

Step-by-step explanation:

We have,

Circumference of a circular plate, C = 21.4 inches

The circumference of a circular shape is given by :

[tex]C=2\pi r[/tex]

r is radius of circular shape

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{21.4}{2\times 3.14}\\\\r=3.4\ \text{inches}[/tex]

Area of this plate is given by :

[tex]A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2[/tex]

So, the area of this plate is [tex]36.31\ \text{inches}^2[/tex].

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by  working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17  

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series  is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d  

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

Solution:

Given that,

A 45 foot ladder is leaning against a building

The foot of the ladder is positioned 10 feet from the base of the building

The figure is attached below

Let,

AB = foot of the ladder from the base of the building

AB = 10 feet

AC = length of ladder

AC = 45 feet

Then by definition of cos,

[tex]cos\ \theta = \frac{AB}{AC} \\\\cos\ \theta = \frac{10}{45}\\\\\theta = cos^{-1} 0.222 \\\\\theta = 77.17[/tex]

Thus, the angle at which the ladder meets the ground is 77.17 degree

Answer:

24  days

Step-by-step explanation:

the information we have is:

Farmers         Days

   20         ⇒       36

   30         ⇒       x

the table describes that 20 farmers harvest the fruits in 36 days, and the x represents the quantity of days that will take 30 farmers to harvest the fruits.

since the amount of farmers and the amount of days are inversely proportional (if we have more farmers they will need less days, and the other way around) we use the inverse rule of three to solve this problem: multiply the quantities at the top of the table (20 and 36) and divide the result by the remaining amount (30).

we get the following:

x = 20 * 36 / 30

x = 720 / 30

x = 24

It will take 24 days for the 30 farmers to harvest the same amount of fruit

Answer:

Yes.

Step-by-step explanation:

Since the coefficients of x and y, respectively, are equal, the answer is yes. These two lines are two different parallel lines with the same slope and different y-intercepts.

Answer:

2x+3y=2--------(1)

2x+3y=4----------(2)

|d|=|C2-C1|/SQ.RT A SQ.+B SQ.

=4-2/RT.4+9

=2/RT.13 UNITS

Answer:

A

Step-by-step explanation:

Since $2.75 discount is given on towel

$0.5 discount is given on candle

10% discount is given on set of dishes

We will have to calculate the discount for the set of dishes

10% of $35.10

10/100 ×35.10

=35.1

So the discount on the set of dishes is $35.1

When comparing the discount on the three things she bought,it was observed that she gained a lot from the discount given on the set of dishes

So the answer is A

Answer: C

Step-by-step explanation:The solution is 7

3

. This problem can be solved using the Pythagorean Theorem leg2 + leg2 = hyp2. 142 - 72=147,

147

Final answer:

The value of x squared is 147, leading to the answer choice C for the value of x in the right triangle.

Explanation:

To find the value of x in a right triangle where the hypotenuse = 14, and the length of the other side = 7, we will use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

This can be written as c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Using the given values we have: 14² = 7² + x².

Simplifying this, we get 196 = 49 + x2, and then 196 - 49 = x², which leads to 147 = x².

Therefore, x = √147.

After calculating, we find that x = √147, which simplifies to x = 12.124 (rounded to three decimal places).

However, the answer choices seem to require the square of x, in which case the answer would be 147, which is option C.

Answer:

term a is 2x²

term b is 4x

term c is 24

Step-by-step explanation:

2x² + 24 = -4x

2x² + 4x + 24 = 0

term a is 2x²

term b is 4x

term c is 24

Tell me if I am wrong.

Can I get brainliest

Answer: 5.85 x 10 to the power of 6

Step-by-step explanation:

Answer:

100 dollars 0.50x200=100

Step-by-step explanation:

Answer:

He made 100 dollars

Step-by-step explanation:

If he makes half a dollar for every one sold, and he sold 200, then you just do 200 times .50 and you get 100

Hope this will help u...

Look at the attached picture ⤴⤴

Answer:

Step-by-step explanation:

hello :

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x2

Find F{G[H(2)]}

calculate : H(2) =2² =4

G[H(2)] =G[4]= 3(4)+2 =14

F{G[H(2)]} = F{14}=2(14) =28