1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Charra [1.4K]
2 years ago
10

What is the area of the grassy yard?

Mathematics
2 answers:
lidiya [134]2 years ago
7 0

Answer:

360 meters squared

Step-by-step explanation:

24 x 16 = 384. The triangle that was taken out has an area of 24 meters squared. 384 - 24 = 360

guajiro [1.7K]2 years ago
5 0
384 because 24•16=384
You might be interested in
Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

        \large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

                                \ \  = \lim_{x \to \infty\frac{\frac{x^{4}  }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} }    }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}}   }  }

                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
Can someone help me asap
djyliett [7]

Answer:

1) 4

2) 5

3) -23

4) 8

5) 7

6) -64

7) -10

8) 19

9) 9

10) -56

6 0
3 years ago
Read 2 more answers
A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the
Gelneren [198K]

Answer:

A) E(w)=450+0.10w

B) $1200

Step-by-step explanation:

Let w represent employee's weekly sales and E(w) be total weekly earnings.

We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.

A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.

10% of weekly sales, w, would be \frac{10}{100}*w=0.10w

E(w)=450+0.10w

Therefore, the function E(w)=450+0.10w models the employee's weekly earnings.

B) To find the weekly sales in the week, when employee earned $570, we will substitute E(w)=570 in our formula and solve for w as:

570=450+0.10w

570-450=450-450+0.10w

120=0.10w

0.10w=120

\frac{0.10w}{0.10}=\frac{120}{0.10}

x=1200

Therefore, the amount of employee's weekly sales was $1200.

3 0
3 years ago
A man driving a minivan leaves his home and travels north 5 miles, then turns right and travels east 12 miles, arriving at his p
Zepler [3.9K]

Answer:

The distance between house to work is 13 miles .

Step-by-step explanation:

Given as :

The distance that man travel to north = OA = 5 miles

Now, From north ,man turn right and travel to east

So, The distance that man travel to east = AB = 12 miles

Let The distance between house to work = x miles

So, x miles is the displacement from north to east direction

i.e x = \sqrt{OA^{2} + AB^{2}  }

Or, x = \sqrt{5^{2} + 14^{2}  }

Or, x = \sqrt{169  }

∴   x = 13

So, The distance between house to work = x = 13 miles

Hence, The distance between house to work is 13 miles . Answer

6 0
3 years ago
A bag contains five white marbles and five black marbles. What is the probability of drawing a WHITE marble, NOT replacing it, a
scoundrel [369]

The probability is 1:2

3 0
3 years ago
Read 2 more answers
Other questions:
  • Approximently how many centiliters are in 3 quarts? Round your answer to the nearest unit.
    12·2 answers
  • Square root of -49 in terms of i
    6·1 answer
  • What is area of the larger triangle
    9·2 answers
  • What do you remember about solving two-step equations​
    6·2 answers
  • 3x+4/5=7-2x Please tell me man
    9·2 answers
  • can explain how to get this answer, In how many ways can 4 pizza toppings be chosen from 12 available toppings?
    11·1 answer
  • Which one answers this equation
    14·1 answer
  • Solve for x.<br><br> 2/3 ( 1/2x + 12) = 1/2 (1/3x + 14) - 3
    15·2 answers
  • (-412)+3=
    7·2 answers
  • Find the total surface area for the hexagonal prism?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!