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Reika [66]
4 years ago
15

A slide is 21 feet long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, fr

om the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.
Mathematics
1 answer:
mojhsa [17]4 years ago
3 0
Its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f 
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Mr. Indigo purchased some trees to plant in his backyard. He bought three oak trees for $23 each and an elm tree for $42. What w
Rom4ik [11]

Answer:

Total cost = $111

Step-by-step explanation:

Given:

Total number of oak tree = 3

Total number of elm tree = 1

Each oak tree cost = $23

Each elm tree cost = $42

Find:

Total cost

Computation:

Total cost = 3[Each oak tree cost] + 1[Each elm tree cost]

Total cost = 3[23] + 1[42]

Total cost = 69 + 42

Total cost = $111

4 0
3 years ago
Area of the base= 324cm square , Height=8cm. Find the volume of the cylinder.​
WARRIOR [948]
It’s just 324 x 8 because base x height

2592cm^3
5 0
3 years ago
Susan purchased company ABC's stock and invested the balance in her money market account. ABC's stock yielded 13% last year and
garri49 [273]

$4,000 is invested in ABC's stock and $11,000 is invested in her market account

Step-by-step explanation:

Susan purchased company ABC's stock and invested the balance in her money market account

  • ABC's stock yielded 13% last year and her money market account yielded 5% last year
  • Susan's initial investments amount to $15000, and the annual income is $1070

We need to find how much money is invested in stock and how much is invested in her money market account

Assume that she invested $x in ABC's stock and $y in her money market account

∵ She invested $x in ABC's stock

∵ She invested $y in her market account

∵ Her initial investments amount is $15000

∴ x + y = 15000 ⇒ (1)

The interest formula is I = Prt, where P is the initial investment, r is the rate of interest in decimal and t is the time

In ABC's stock:

∵ She invested $x

∴ P = x

∵ The rate is 13%

∴ r = 13% = 13 ÷ 100 = 0.13

∵ t = 1

- Substitute all of these values in the formula of interest above

∴ I_{ABC} = x(0.13)(1)

∴ I_{ABC} = 0.13x

In her market account:

∵ She invested $y

∴ P = y

∵ The rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ t = 1

- Substitute all of these values in the formula of interest above

∴ I_{market} = y(0.05)(1)

∴ I_{market} = 0.05y

∵ Her annual income is $1070

- Add the interest of ABC's stock and the interest of her market

   account, equate the sum by 1070

∴ 0.13x + 0.05y = 1070 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -0.05 to eliminate y

∵ -0.05x - 0.05y = -750 ⇒ (3)

- Add equations (2) and (3)

∴ 0.08x = 320

- Divide both sides by 0.08

∴ x = 4000

- Substitute value of x in equation (1) to find y

∵ 4000 + y = 15000

- Subtract 4000 from both sides

∴ y = 11000

$4,000 is invested in ABC's stock and $11,000 is invested in her market account

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

7 0
3 years ago
What is 16 to 29 and 15 in at ratio
Semmy [17]
16:29:15 I think that would be it but, I'm really sorry if that's not right
7 0
3 years ago
PLZ help super fast thanks
Nikolay [14]

Answer:

B. \frac{1}{x^2y^7}

Step-by-step explanation:

Given:

(x^3y^{-2}z)(x^{-5}y^{-5}z^{-1})

Hence Solving the given expression we get;

By Law of Indices which states;

(a^xb^yc^z)(a^pb^qc^r) = a^{x+p}b^{y+q}c^{z+r}

Hence we get;

x^{3+(-5)}y^{(-2)+(-5)}z^{1+(-1)}\\\\x^{3-5}y^{-2-5}z^{1-1}\\\\x^{-2}y^{-7}

Also We know that

a^{-6} =\frac{1}{a^6}

So,

\frac{1}{x^2y^7}

8 0
3 years ago
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