Solve the equation n2 − 29 = 260 by using square roots.
A. n = ±17
b. n = ±19
c. no real solutions
d. n = ±18

Answer:

x=18

Step-by-step explanation:

In this question we can use the Geometric mean of leg theorem

The theorem states that the hypotenuse/leg 2 = leg 2/part 2

In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.

Plugging the given values in, we get

72/x+18=x+18/x

We can then simplify it.

(x+18)^2=72x

x^2+36x+324=72x

x^2-36x+324=0

That is equal to (x-18)^2

So, x=18

Answer:

the square root of 120

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=13^2

a^2+49=169

a^2=120

a= the square root of 120

Answer:

Step-by-step explanation:

Let's solve this problem step-by-step:

      1. Let's put this in a fraction format:  

             6834 ÷ 17 = [tex]\frac{6834}{17}[/tex]

      2. Now we know 6834 = 6800 + 34

            ⇒ so:

                   [tex]\frac{6834}{17} =\frac{6800+34}{17} =\frac{6800}{17} +\frac{34}{17}[/tex]

     3. Now let's convert the fractions to denominators

              [tex]\frac{6800}{17} +\frac{34}{17} =[/tex] (6800 ÷ 17) + (34 ÷ 17)    

Let's check:

Answer:  (6800 ÷ 17) + (34 ÷ 17) or Choice (C)

Answer:

2/5

Step-by-step explanation:

markup / cost       =    10 /25 = 2/5

Answer:

hi. this is the way

Step-by-step explanation:

this is the process of doing it. hope you like it

Answer:

hey can you help me to do homework

Answer:

[tex](x,y,z)=(1477, 1464, 1437)[/tex]

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

So, the equation would be

[tex]3x + 5y - 4z = 6000[/tex]

hence,

[tex]2x - 3y + z = 0[/tex]

therefore,

[tex] - x + 4y + 6z = 13000[/tex]

Thus our system of equations is

[tex]\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}[/tex]

Solving the system of equations:

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

[tex]\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}[/tex]

Now solve the equation accordingly:

[tex]\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}[/tex]

Solving the equation for x and y yields:

[tex]\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}[/tex]

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

[tex]\implies z= \dfrac{217000}{151} [/tex]

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

Answer:

A rectangluar pyramid of height 8 mi measuring 8 mi and 10 mi along the base. 213.33 mi³ 3) A cone with diameter 18 mi and a height of 18 mi. 1526.81 mi³ 4) A sphere with a diameter of 16 cm. 2144.66 cm³ 5) A pyramid 11 yd tall with a right triangle for a base with side lengths 6 yd, 8 yd, and 10 yd. 88 yd³

Step-by-step explanation:

hope this helps if not let me know

Answer:

28

Step-by-step explanation:

The formula for trapezoid area is [(b1+b2)/2]h where the b's are the bases and the h is the height. Plugging the values in, you get 28. Have a good day!

Mate I’ve got it! 28 is our answer.

Answer:

55%.

Step-by-step explanation:

1) the final percentage can be calculated if $124 is x% and 80 is 100%. Then

2)   [tex]\frac{80}{100} =\frac{124}{x}; \ = > \ x=\frac{124*5}{4}=155 \%[/tex]

3) the required increase is:

155-100=55%

53

hope it helps...!!!!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Volume of a cube can be represented as :} [/tex]

[tex] \textsf{And the side length is given as a} [/tex]

[tex] \textsf{So, volume of the given cube is :} [/tex]

Answer:

2 or 3 im not sure but choes 2

Step-by-step explanation:

Answer:

15 miles far from your house.

Step-by-step explanation:

By using Pythagorean Theorem

H² = P² + B²

=> 12² + 9² = H²

=> 144 + 81 = H²

=> 225 = H²

=> √225 = H

=> 15 = H

Answer:

area is 254.34 circumference is 56.52

Step-by-step explanation:

To find the area you need to follow the formula r^2(pi)

so it would be 9x9x3.14 which is 254.34

to find circumference you need to find diameter which is double the radius (9x2) so the diameter is 18

To find circumference to need to do radius x pi

18x3.14 is 56.52

Answer:

$6,672

Step-by-step explanation:

Area of Playground

Cost

Answer:

Using π:  $6,673.27 (nearest cent)

Using π = 3.14:  $6,672

Step-by-step explanation:

Separate the figure into a rectangle and two semicircles.

Area of a rectangle = width × length

                                = 20 ft × 26 ft

                                = 520 ft²

Area of a semicircle = 1/2 π r²

                                 = 1/2 π · 10²

                                 = 50π ft²

⇒ Total area = area of rectangle + (2 × area of semicircle)

                     = 520 + (2 × 50π)

                    = (520 + 100π) ft²

⇒ Total cost = area × cost

                     = (520 + 100π) × $8

                     = $6,673.27 (nearest cent)

**using π = 3.14**

Total cost = (520 + 100 × 3.14) × $8 = $6,672

Answer:

y-1=2(x+4) or y=2x+9

Step-by-step explanation:

y - 3 = 2(x + 7)

y=mx+b

m=2

(x1,y1) -> (-4, 1)

(y−y1)=m(x−x1)

plug in

y-1=2(x+4)

y-1=2x+8

y=2x+9

test:

(1)=2(-4)+9

1=-8+9

1=1

Answer:

Step-by-step explanation:

f(x)= -(-2)^2 + 3 = -4 + 3 = -1

Answer:

C

Step-by-step explanation:

It should be .7. Count each mark as .1 and this should be clear.

Answer:

The difference will be 0.65 °C above room temperature after 13 minutes.

The difference in temperature in 13 minutes will be 6.65° C.

The expression is defined as the relations of the numbers and the variables combined together to form the equation by the use of mathematical algebraic symbols like equal greater than or less than.

Given that a cup of hot water is placed on the counter to cool. The temperature of the water is currently 19°C above room temperature. If the temperature difference falls by 5% every minute.

The heat difference will be calculated as:-

Total decrease = 13 x 5 = 65%

[tex]H = 19\times\dfrac{100-65}{100}[/tex]

[tex]H = 19\times \dfrac{35}{100}[/tex]

H = 19 x 0.35

H = 6.65°

Therefore, the temperature will be 6.65°.

To know more about an expression follow

https://brainly.com/question/19178882

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Answer:

316.03

Step-by-step explanation:

[tex] \hookrightarrow \sf \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex]

[tex]\hookrightarrow \sf 7.07 \times 4.47 \times 10[/tex]

[tex]\hookrightarrow \sf 316.03[/tex]

Therefore, [tex] \rm \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex] ≈ 316.03

Step-by-step explanation:

[tex] = \frac{75}{100} \\ [/tex]

[tex] = \frac{75 \div 5}{100 \div 5} \\ [/tex]

[tex] = \frac{15 \div 5}{20 \div 5} \\ [/tex]

[tex] = \frac{3}{4} \\ [/tex]

Answer:

The surface area of a rectangular prism calculator gives us the answer: A = 2*1* w+2*1*h+2*w *h = 2*8 ft 6 ft + 2*8 ft* 5 ft + 2*6 ft * 5 ft = 236 ft².

Answer:

Step-by-step explanation:

Next bit of info that we have is 424 miles. Miles go on the numerator, and gallons, which we will call "x" will go on the denominator. It should be set up like this: 265/10 = 424/x Once you cross multiply you should get 265x=4240. Divide 265 by both sides and the answer is 16 gallons.  Sorry if its wrong

Answer:

1982  ft^3    ( rounded)

Step-by-step explanation:

The cube bottom is   12 x 12 x 12  = 1728

The pyramid top is  1/3 ( 12*12) * sqrt 28 = 253.99

added together = ~ 1982  

( you have to use the HEIGHT of the pyramid for the volume calculation      V = 1/3 *  base area * height        height = sqrt (28)  )

Answer:

1,982 ft³

Step-by-step explanation:

Solving

Volume of rectangular prism (below)

Volume of square pyramid

Total Volume : 1728 + 253.92 = 1,981.92 ft³ ≅ 1,982 ft³

Answer:

7⅞

Step-by-step explanation:

NO.OF HATS TO BE MADE= 9

YARD OF YARN NEEDED TO MAKE EACH HAT= 7/8

THEN,

TOTAL YARDS OF YARN= 9*7/8

= 63/8

Given to write answer in mixed form= 7⅞

Please mark me as brainliest

Answer:

-x + 2

Step-by-step explanation:

collect the like terms of x and 2x . So subtract 1-2 = -1

so 1x - 2x = -1x or -x . Then just subtract 5-3 and you have your answer