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dlinn [17]
3 years ago
13

Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one

wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.
Is the room in the shape of a square? Explain how you determined your answer. Show all your work.
Mathematics
2 answers:
Alja [10]3 years ago
8 0
No. A square has equal sides that are perpendicular and parallel. I'm guessing this room resembles some other figure.
disa [49]3 years ago
6 0
Your shape is a cube.
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vampirchik [111]

Answer:

The slope is 2/1

Step-by-step explanation:

7 0
3 years ago
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Solve for x. Show all your work
olasank [31]

42°

Step-by-step explanation:

\angle BAE =180\degree -132\degree

(Angles in linear pair)

\angle BAE =48\degree

\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})

\angle ABE = 180\degree-(48\degree+90\degree)

(Angle sum postulate of a triangle)

\implies\angle ABE = 180\degree-138\degree

\implies\angle ABE = 42\degree

\angle CDE =\angle ABE = 42\degree

(corresponding angles)

\implies x\degree=\angle CDE

(vertical angles)

\implies x\degree=42\degree

\implies x=42

3 0
2 years ago
Estimate 1 13 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal
babunello [35]

Answer:

(a) 4.152698

(b) 3.215557

Step-by-step explanation:

(a)

\int\limits^{13}_1 {cos(x^2)} \, dx =M_n=$\sum_{n=1}^{\infty} f(m_i)\Delta x $

n=4, so :

Each subinterval has length :

\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

Now, the midpoints of these subintervals are:

\frac{1+5}{2} =3\\\\\frac{5+9}{2} =7\\\\\frac{9+13}{2} =11

Hence:

M_4= 3*(cos(3^2))+3*(cos(7^2))+3*cos((11^2))\approx 4.152698

(b)

\int\limits^{13}_1 {cos(x^2)} \, dx =T_n=\frac{\Delta x}{2} (f(x_o)+2f(x_1)+2f(x_2)+...+2f(x_n_-_1)+f(x_n))

n=4, so :

Each subinterval has length :

\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

The endpoints of the subintervals consist of:

5,9

Hence:

T_4= \frac{3}{2}(cos(1^2)+2*cos(5^2)+2*cos(9^2)+cos(13^2)) \approx 3.215557

8 0
3 years ago
Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year
NeX [460]
There are two types of interest: Simple interest and compounding interest:

Simple interest: F = P(1+in)
Compounding interest: F = P(1+i)ⁿ

The compounding interest is always bigger than simple interest for a given amount of n time. The effective interest rate is

Effective interest rate = 1.5%/year * 1 yr/12 months = 0.125% per month

Since there are 12 months in 1 year, n= 12. Then i = 0.125/100 = 0.00125

Difference = Compounded Interest - Simple Interest
Difference = P(1+i)ⁿ - P(1+in) = 1000(1+0.00125)¹² - 1000(1+0.00125*12)
Difference = $0.104

You will only have $0.104 more money than the simple interest.
3 0
3 years ago
Can someone help me with this ???
Aliun [14]
1) a. Socratics, chegg, khan academy
1) b. They all learning apps that help you understand problems if any subject. It also has online tutors to help you.

2. To insert a square root, just type \sqrt and then the Enter or Tab key to insert the square root symbol.

6 0
3 years ago
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