A 3m ladder stands on horizontal ground and reaches 2.8 m up a vertical wall. How far is the foot of the ladder from the base of the wall?

-2 and 4/5 ..............................

Simplifying, we get

-3 1/2 is -3.5

1 1/4 is 1.25

so, -3.5/1.25=

-2.8

[tex]~~~~~~~~~~~~\underset{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}}\\ \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right][/tex]

[tex]\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &150\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &35 \end{cases}[/tex]

[tex]A=150\left[ \cfrac{\left( 1+\frac{0.04}{12} \right)^{12\cdot 35}-1} {\frac{0.04}{12}} \right]\implies A= 150\left[ \cfrac{\left( \frac{301}{300} \right)^{420}~~ - ~~1}{\frac{1}{300}} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 137059.64~\hfill[/tex]

Answer:

350

Step-by-step explanation:

if this is wrong or correct please let me know and sorry if its wrong which i am pretty sure it's correct :)

Answer:

d.  [tex]x = 10[/tex]

e. [tex]x=\sqrt[3]{\dfrac{15}{4}}[/tex]

Step-by-step explanation:

I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).

I've used the product, quotient and power log laws.

Product:     [tex]log_a(x)+log_a(y)=log_a(xy)[/tex]

Quotient:    [tex]log_a(x)-log_a(y)=log_a(\dfrac{x}{y})[/tex]

Power:    [tex]p\log_a(x)=log_a(x^p)[/tex]

Consider a trapezoid GJKF with:

GH=JH (hypothesis)

FL=KL (hypothesis)

so HL is the median of trapezoid GJKF

so: HL=1/2(2.5+1.2)=1.85

Answer:

-12 meters because it is BELOW the surface of the ocean

Answer:

14.8

Step-by-step explanation:

42.79-27.99=14.8

When subtracted $27.99 from $42.79, we get $14.8.

Subtraction is one of the most basic arithmetic operation in mathematics. Subtraction implies taking away one value from the another. Subtract x from y implies y - x. The number after from comes first. On subtraction, the sign (positive/negative) of the greater number of the two numbers given, is the sign (positive/negative) of the answer. Subtraction is also called as difference.

Given in the question,

Take $27.99 from $42.79

This implies,

= 42.79 - 27.99

= 14.8

Learn more about subtraction here

https://brainly.com/question/13619104

#SPJ2

Answer: x= how many short answer response questions on the test and y= how many multiple choice questions

hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The apothem of the square is four time lower than the area squared. Thus, to do this, we must use the formula A = s^2

Using this, we do A = s^2, and replace s for 12. Doing exponents first following order of operations (PEMDAS), we get 144. Now, that's only one side of the square. Since the square is 4 sides, we must multiply by four. Thus, your answer is (144 * 4) = 576 cm^2.

Answer: 576 cm squared.

Answer:

Step-by-step explanation:

We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.

To find Sally's temperature we will use z-score formula.

, where  = Mean, = Standard deviation.

Let us substitute our given values in z-score formula.

Multiply 0.62 to both sides of equation.

Add 98.20 to both sides of equation.

Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.

Step-by-step explanation:

Answer:

Answer = 9

Step-by-step explanation:

Hope This Helps :) Have an awesome day

Answer: x=4

Step-by-step explanation:

Inequalities are used to represent unequal expressions

The solution to the system of inequalities is (-1,1)

The system of inequalities is given as:

y > x + 2 and

y < 2x + 3

To do this, we start by plotting the graphs of the two inequalities

y > x + 2 and  y < 2x + 3

See attachment for the graph

From the attached graph, both lines meet at (-1,1)

Hence, the solution to the system of inequalities is (-1,1)

Read more about system of inequalities at:

https://brainly.com/question/9774970

Answer:

x = 14

Step-by-step explanation:

Think:

What subtracts 10 can get you 4?

Or you can add 10 on both sides.

Answer:

6(1+5)

Step-by-step explanation:

The greatest common factor is 6

(6 + 30) = 6(1+5)

6(1+5) is the answer

Hope this helps :)

Have a nice day!

Answer:

No

Step-by-step explanation:

To find point (3, -1), begin at the origin. Move 3 units to the right, then 1 unit down.  

Neither of the lines go through the point (3, -1)

Answer:

No

Step-by-step explanation:

No, (3, -1) is not a solution to the system. Because, lines are not intersecting at this point.

Actually, both the lines are going parallel to each other. Hence, there will be no solution.

Answer:

31 ft.

Step-by-step explanation:

so 52.5% leaves 47.5% left. and so you can take 21 * 1.475 (147.5%) and get 30.975. you round to the nearest tenth which goes up to 31 ft.

Answer:

40

Step-by-step explanation:

I got this by working through all the answer choices, this one is most logical :) I also submitted my assignment and got this correct !

stay happy :)

Answer:

How many ounces of fish per gram of protein?

Step-by-step explanation:

Answer:

(7, 3)

Step-by-step explanation:

We can solve this system using elimination. In this scenario, we can eliminate x by subtracting the two equations:

x-3y=-2

x+3y=16

-3y-3y=-2-16

-6y=-18

Divide both sides by -6

y=3

Plug 3 back in for y to solve for x:

x-3(3)=-2

x-9=-2

Add 9 to both sides

x=7

(x, y) = (7, 3)

Answer:

  280.2 m²

Step-by-step explanation:

The height of the triangle is found using the Pythagorean theorem.

  a² +b² = c²

  13² +b² = 20²

  b² = 20² -13² = 400 -169 = 231

  b = √231 ≈ 15.199 . . . . meters

The area of the figure is 1/4 the area of a circle with radius √231 together with the area of the triangle with base 13 and height √231.

  Triangle Area = 1/2bh

  = 1/2(13)(15.199) ≈ 98.791 . . . . square meters

__

The area of the 1/4 circle is ...

  Sector Area = (1/4)πr² = 1/4π(√231)² = (231π)/4 ≈ 181.427 . . . . square meters

__

The figure area is the sum of the triangle and quarter circle areas:

  figure area = 98.791 m² +181.427 m² ≈ 280.2 m²

_____

Additional comment

If you use 3.14 for π, then the total will be 280.1 m².

Answer:

280.2 sq meters

Step-by-step explanation:

First you have to find the third side of the triangle because it is the height of the triangle and also the radius of the circle. Using Pythagorean theorem:

x^2 + 13^2 = 20^2

x^2 + 169 = 400

x^2 = 400 - 169

x^2 = 231

x = sqroot(231)

x = 15.2

Area of triangle:

A = 1/2 b•h

= 1/2•13•15.2

= 98.8

Area of a circle:

A = pi•r^2

Area of a 1/4 Circle:

A = 1/4•pi•r^2

=1/4(3.14)(15.2)^2

= 181.4

Area of Whole Shape:

98.8 + 181.4

= 280.2 sq meter

Answer:

0.25

Step-by-step explanation:

the sqare root of 5 normally is 25, therefore in decimals its the same but in decimals..... so 0.25... is the correct option :)

Hope this helps!

Please Mark Brainliest!

Answer:

25

Step-by-step explanation:

Multiply both factors (0.5) x (0.5) = 0.25

Answer:

Look below

Step-by-step explanation:

55/48 or 1 7/48 depending if you wanted it mixed or not

Answer: Say less bucko! It’s 1.14583. Hey there’s more! The last digit for the 3 is continuous meaning it will go on forever. So the 3 has to have a bar on top. I’m sorry it’s too long!

Step-by-step explanation:

Answer:

[tex]-\dfrac{14}{15}-\dfrac{1}{3}v[/tex]

Step-by-step explanation:

Given expression:

[tex]-\dfrac{6}{5}-\dfrac{2}{3}v+\dfrac{4}{15}+\dfrac{1}{3}v[/tex]

Collect like terms:

[tex]\implies \dfrac{4}{15}-\dfrac{6}{5}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]

Make the denominators for the like terms the same:

[tex]\implies \dfrac{4}{15}-\dfrac{6 \times 3}{5 \times 3}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]

[tex]\implies \dfrac{4}{15}-\dfrac{18}{15}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]

Combine like terms:

[tex]\implies \dfrac{4-18}{15}+\dfrac{1-2}{3}v[/tex]

[tex]\implies -\dfrac{14}{15}-\dfrac{1}{3}v[/tex]

Answer:

-14/15 - 1/3w

Step-by-step explanation:

khan

Answer:

it would take him to 7 hours drive 504 miles.

Step-by-step explanation:

360 miles → 5 hours

1 miles → (5/360) hours

504 miles → [(5/360)*504] hours

504 miles → 7 hours

Answer:

Step-by-step explanation:

This is a proportional relationship.

Use ratios:

Answer:

[tex]\displaystyle 3x - 2y = 13\:or\:y = 1\frac{1}{2}x - 6\frac{1}{2} \\ [0, -6\frac{1}{2}] \\ 1\frac{1}{2} = m[/tex]

Step-by-step explanation:

First, figure the rate of change [slope] out:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 16}{-5 + 15} = \frac{15}{10} = 1\frac{1}{2} \\ \boxed{1\frac{1}{2} = m}[/tex]

Now locate the initial value [y-intercept] by plugging an ordered pair into the slope-intercept formula. It does not matter which ordered pair you use:

_______________________________________________

[tex]\displaystyle y = mx + b[/tex]

16 = 1½[15] + b >> [tex]\displaystyle 16 = 22\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]

OR

1 = 1½[5] + b >> [tex]\displaystyle 1 = 7\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]

[tex]\displaystyle [0, -6\frac{1}{2}][/tex]

_______________________________________________

You now have your initial value. All that is left is to write the equation of this line, which can be written two ways:

> Slope-Intercept Form

[tex]\displaystyle y = 1\frac{1}{2}x - 6\frac{1}{2}[/tex]

> Standard Form [tex]\displaystyle [Ax + By = C][/tex]

y = 1½x - 6½

- 1½x - 1½x

___________

–1½x + y = –6½ [We CANNOT leave the equation this way, so multiply by –2 to eradicate the fraction\denominatour (if you wrote the equation as mixed numbers\if you wrote the equation as improper fractions).]

–2[–1½x + y = –6½]

[tex]\displaystyle 3x - 2y = 13[/tex]

With that, you have defined all the information.

[tex]\displaystyle -3x + 2y = -13[/tex]

*About this equation, INSTEAD of multiplying by –2, you multiply by its oppocite, 2. Now, you can leave it like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.

I am joyous to assist you at any time.

Answer:

Solution

Given,

In right angle triangle

AB=28

AC=18

BC = ?

By using Pythagoras therom

H square =B square +P square

28 = 18 + P

28-18 = P

10 = P

therefore BC = 10

Answer: D) 12 units

Explanation:

There are 12 spaces between T and S.

You can count the spaces out, or subtract and use absolute value.

You could use the distance formula, but it's a bit overkill in this situation. The distance formula is only ever needed whenever we don't have horizontal or vertical line segments.

Edit: The solution has been corrected to the correct value.

Answer:

149.5

Step-by-step explanation

Answer:

149.50

Step-by-step explanation:

i did 29.1+78.8 = 107.90+ 41.5 and that's how i got 41.5