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
borishaifa [10]
3 years ago
9

A triangular building is bounded by three streets. The building measures approximately 83 feet on the first​ street, 189 feet on

the second​ street, and 178 feet on the third street. Approximate the ground area K covered by the building.
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0
For this case we use Heron's formula to calculate the area of the building.
 We have then:
 A = root ((s) * (s-a) * (s-b) * (s-c))
 Where,
 s = (a + b + c) / 2
 Substituting values:
 s = (83 + 189 + 178) / 2
 s = 225 feet
 A = root ((225) * (225-83) * (225-189) * (225-178))
 A = 7352.509776 feet ^ 2
 Rounding off we have:
 A = 7353 feet ^ 2
 Answer:
 
The ground area K covered by the building is:
 
K = 7353 feet ^ 2
You might be interested in
A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
ollegr [7]

Answer:

g o f = g(f(x)) = 32x^2 + 32x + 4

Step-by-step explanation:

Given

f(x) = 4x +2

g(x) =2x^2 - 4

Required:

Find g o f

This is calculated as:

gof = g(f(x))

g(x) =2x^2 - 4

So:

g(f(x)) = 2(4x+2)^2 - 4

g(f(x)) = 2(4x+2)(4x+2) - 4

g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4

g(f(x)) = 32x^2 + 32x + 8 - 4

g(f(x)) = 32x^2 + 32x + 4

5 0
3 years ago
Evaluate the expression when X= -2 x^2 + 9x + 3
TiliK225 [7]

Answer:

-11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

x² + 9x + 3

x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  (-2)² + 9(-2) + 3
  2. Exponents:                                                                                                        4 + 9(-2) + 3
  3. Multiply:                                                                                                             4 - 18 + 3
  4. Subtract:                                                                                                            -14 + 3
  5. Add:                                                                                                                   -11
3 0
3 years ago
1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conferen
neonofarm [45]

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 is 1/8

7 0
4 years ago
An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr
LenKa [72]

Answer:

(a) The correct option is: <em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b) Explained below.

(c) The better value of <em>α</em> will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion <em>z</em>-test.

(a)

The hypothesis can be defined as:

<em>H₀</em>: The proportion of defective installations is same for both the robots and  human assemblers, i.e. <em>p</em> = 0.02.

<em>Hₐ</em>: The proportion of defective installations is less for the robots than for human assemblers, i.e. <em>p</em> < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

<em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (<em>α</em>).

Lesser the significance level of the test the lesser is the power of the test.

If the value of <em>α</em> is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of <em>α</em> the higher is the probability of making a correct decision.

Thus, the better value of <em>α</em> will be 0.10.

3 0
3 years ago
Find the area of the shape shown below.<br>​
neonofarm [45]

Answer:

7

Step-by-step explanation:

First ignore the cut corner and pretend that it is just a rectangle.

The rectangle's area would be 2×4=8.

Then find out the cut corner's area.

The area of that triangle would be 1.

8-1=7 So the area of the shape is 7.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help I am on number 1 please explain
    6·1 answer
  • You worked from 2:30pm - 8:45pm with a 1/2 hour lunch break your hourly wage is $7.50/hour how much did you earn
    9·2 answers
  • How many solutions does the equation have
    5·1 answer
  • Find the area of a trapezoid whose parallel sides measure 8.5 m and 4.5 m, and whose altitude is 6.5 m.
    9·2 answers
  • Solve the equations
    9·1 answer
  • Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash.
    7·2 answers
  • Find x (2x+1) (5x+5)
    6·2 answers
  • Why 6:4 and 18:8 are not equivalent ratios
    13·2 answers
  • Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
    5·1 answer
  • Help please and thankssssss.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!