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
Lana71 [14]
2 years ago
12

Bridget takes a 5-inch by 4-inch rectangle of fabric and cuts from one corner of the piece of fabric to the diagonally opposite

corner. Now Bridget has two equally sized triangles of fabric. What is the perimeter of each triangle? If necessary, round to the nearest tenth.
Mathematics
1 answer:
mario62 [17]2 years ago
7 0

Answer:

Perimeter of each triangles are equivalent to 15.4 inches.

Step-by-step explanation:

Given:

A rectangle :

Length of the rectangle = 5 inches

Width of the rectangle =4 inches

As Bridget cuts it from one corner to the other corner,its forms two right angled triangle.

The diagonal will be treated as the hypotenuse.

Lets say that the length of the hypotenuse is 'x'.

Using Pythagoras formula:

⇒ (hypotenuse) = \sqrt{(perpendicular)^2+(base)^2}

Plugging the values:

⇒ hypotenuse = \sqrt{5^2+4^2}

⇒ hypotenuse = \sqrt{25+16}

⇒ hypotenuse =\sqrt{41}

⇒ hypotenuse = 6.40  inches

Now we have to find the perimeter :

Perimeter = Summation of length of all sides.

So,

Perimeter  of each triangle = (length + width + hypotenuse)

⇒ Perimeter =(5+4+6.4)

⇒ Perimeter =15.4  inches

Perimeter of each triangle, as they are equally sized are same that is   15.4 inches.                              

You might be interested in
Write 32/21 as a mixed number.
hammer [34]

Answer:

1 11/21

Step-by-step explanation:

In order to convert 32/21 to mixed number, you follow these steps:

Divide the numerator by the denominator

32 ÷ 21 = 1 with a remainder of 11

Write down the whole number 1 and then write down the remainder as new numerator (11) above the denominator (21), As below:

1  11/21

6 0
2 years ago
Read 2 more answers
a daily newspaper has 10225 subscribers when it began publication. six years old later it has 8200 subscribers what is the avera
seraphim [82]

Answer:

The rate of change in number of subscriber for the six years is 3.62%

Step-by-step explanation:

Given as :

The initial subscriber of newspaper = p = 10225

The subscriber of newspaper after 6 years of publish = P = 8200

The time period = t = 6 years

Let The average yearly rate of change = r%

<u>Now, According to question</u>

The subscriber of newspaper after n years = initial subscriber × (1-\dfrac{\textrm rate}{100})^{\textrm time}

Or, P = p × (1-\dfrac{\textrm r}{100})^{\textrm t}

Or, 8200 = 10225 × (1-\dfrac{\textrm r}{100})^{\textrm 6}

Or, \dfrac{8200}{10225} =  (1-\dfrac{\textrm r}{100})^{\textrm 6}

Or, 0.80195 =  (1-\dfrac{\textrm r}{100})^{\textrm 6}

<u>Taking power \dfrac{1}{6} both side</u>

So, (0.80195 )^{\frac{1}{6}} = ((1 - \frac{r}{100} )^{6})^{\frac{1}{6}}

Or, 0.9638 = 1 - \dfrac{r}{100}

Or,  \dfrac{r}{100} = 1 - 0.9638

Or,  \dfrac{r}{100} = 0.0362

Or, r = 0.0362 × 100

i.e r = 3.62

So, The rate of change in subscriber = 3.62%

Hence, The rate of change in number of subscriber for the six years is 3.62% . Answer

4 0
3 years ago
Anarime estimates that of people booked on the fights actually show up in the e books 70 people on a fight for which the maximum
Mandarinka [93]

Answer:

An airline estimates that 94% of people booked on their flights actually show up. If the airline books 77 people on the flight for which the maximum number is 75, what is the probability that the number of people who show up will exceed the capacity of the plane?

-------------------------

Binomial Problem with n = 77 and p = 0.94

---

P(76 <= x <= 77) = 1-P(0 <=x <= 75) = 1 - binomcdf(77,0.94,75) = 0.0504

==================

Cheers,

Stan H.

3 0
3 years ago
Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.
love history [14]

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/\sqrt{2},1/\sqrt{2},0)

8 0
2 years ago
Jane buys some rocks for decorating her backyard. She uses a box full of rocks. The box is a rectangular container that is 1 yar
statuscvo [17]
First, Jane must know the volume of the box.
Volume = l * w * h
Volume = 1 * 0.5 * 0.5
Volume = 0.25 yard^3

1 yard^3 = $25

So,
1 : 25 = 0.25 : x
x = 25 * 0.25
x = $6.25

So she need to spend $6.25
4 0
3 years ago
Other questions:
  • How 17 | 12. The Mad hatter is stocking up on tea for his
    6·1 answer
  • F(x) = -2|x-2|+4 vertical stretch by a factor of 2
    7·1 answer
  • When solving the equation x3 = 22.
    6·2 answers
  • If x=2 centimeters, y=4 centimeters, and z=5 centimeters, what is the area of the object?
    9·1 answer
  • A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?
    13·2 answers
  • Which set is not closed under addition
    15·1 answer
  • Find the perimeter and area of the figure.<br> 5 m<br> 3 m<br> 4 m
    15·2 answers
  • during flu season there was. 124 students out of school on a particular day if there are 775 students in the school what percent
    7·2 answers
  • Select all expressions that are equivalent to −4(+2)−2+4
    6·1 answer
  • Whose procedure is correct? keisha’s procedure is correct. david’s procedure is correct. both procedures are correct. neither pr
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!