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kaheart [24]
2 years ago
5

I need help with Geometry

Mathematics
2 answers:
I am Lyosha [343]2 years ago
8 0

Answer:  180 degrees

Imagine you had a long and flat rectangle. If we spin it around the center, we can rotate it 180 degrees so it lines up with its original image. The before and after is the same. We say it has rotational symmetry, and the angle of rotation is 180 degrees. This is the smallest rotational angle possible for rectangles that aren't squares.

valkas [14]2 years ago
4 0

Answer:

180 degrees since only two opposite sides are congruent in a rect, which would require you to flip it 180 degrees for it to map onto itself

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500(x - 3) = 5000<br><br><br><br> x = _____
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

500(x - 3) =5000

x - 3 = 5000/500

x - 3 = 10

x = 10 + 3

x = 13

6 0
3 years ago
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.
Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; o_i  60   90   92    58

data sample = 300

Expected e_i = 300 / 4 = 75

the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

X^2_{stat = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0
2 years ago
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room
nasty-shy [4]
Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>

The answer a the question 2) is 222.75 ft²

<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour
 222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

6 0
3 years ago
A liquid at temperature 7575F is placed in an oven at temperature 450450. The temperature of the liquid increases at a rate 77 t
hichkok12 [17]

Answer: \dfrac{dT(t)}{dt}=77\times (450-T)

Step-by-step explanation:

Given

The temperature of the liquid is 75^{\circ}F placed in an oven with temperature of 450^{\circ}F.

Initially difference in temperature of the two

\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F

According to the question

\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]

5 0
2 years ago
The Nut Shoppe sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10
Anton [14]

Answer: He sold 10 pounds of cashews .

Step-by-step explanation:

Since we have given that

Selling price of walnuts = $4.00 a pound

Selling price of cashews = $7.00 a pound

Number of pounds of walnuts = 10

Let number of pounds of cashew be x

Total price at which he sold a mixture = $5.50

According to question,

10\times 4+x\times 7=(10+x)\times 5.50\\\\40+7x=55+5.5x\\\\7x-5.5x=55-40\\\\1.5x=15\\\\x=\frac{15}{1.5}\\\\x=10

Hence, he sold 10 pounds of cashews .

7 0
3 years ago
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