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IrinaK [193]
3 years ago
15

I don't understand this one.

Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Answer:

C.  27 feet to the nearest foot.

Step-by-step explanation:

In a 45-45-90 triangle the 2 legs ( the base and the height)  are equal in length.

So the area = 1/2 * base * height

= 1/2 h^2 = 32

h^2 = 32 / 1/2 = 64

h = 8 feet.

That is both legs are 8 feet long.

So the amount of fencing needed = the perimeter

=  2*8 + H    where H is the hypotenuse.

As it is a 45-45-90 triangle H = √ * 8 = 11.3 feet.

The perimeter = 16 + 11.3

= 27 feet to the nearest foot.

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Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0
3 years ago
Excellence Middle School charges $6.25 for students from all grade levels to attend the school dance. If S represents the number
vlabodo [156]
The answer would be b: 6.25(s+g)

you can already cancel out c., as there’s no way it could be 13.50

since it says it’s $6.25 dollars for all grades and you would be trying to find both 7th and 8th graders, you would need to multiply both variables by the amount they need to pay. in this case, $6.25.
6 0
2 years ago
What is 981 round to the nearest thousand
PSYCHO15rus [73]
It would be 100,000 or if the number is just 981 then it would be 1,000.
6 0
3 years ago
Read 2 more answers
Area of ice rink is 404 sq yes what is perimeter
ololo11 [35]
Ok, since the ice rink is a square (which has equal sides) if you multiply 404 times four because a square has 4 sides which is equal to 1616 the perimiter is 1616 sqf

404*4= 1616      p= 1616sq
6 0
3 years ago
Figure ABCD is transformed to obtain figure A′B′C′D′:
xz_007 [3.2K]

Answer:

<u>Part A</u>

  1. Reflect over the y-axis:  (x, y) → (-x, y)
    A (-4, 4) → (4, 4)
    B (-2, 2) → (2, 2)
    C (-2, -1) → (2, -1)
    D (-4, 1) → (4, 1)
  2. Shift 4 units down:  (x, y-4)
    (4, 4-4) → A' (4, 0)
    (2, 2-4) → B' (2, -2)
    (2, -1-4) → C' (2, -5)
    (4, 1-4) → D' (4, -3)

<u>Part B</u>

Two figures are <u>congruent</u> if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

3 0
1 year ago
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