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Pie
3 years ago
14

A square is cut in half on the diagonal, creating two equal triangles. each triangle has an area of 0.32 square units. what is t

he side length, in units, of the original square?
Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

First we need to find out the area of the square. Since 1/2 of the square( the triangle) is .32 square units, multiply .32 by 2 to find the area.

.32*2=64

Now, find the square root of .64

The square root of .64 is .8.

The side length of the original square is .8 units.

Hope this helps!

almond37 [142]3 years ago
6 0

Answer:

0.8

Step-by-step explanation:

Let's say s is the side length of the square.  When the square is cut diagonally, each triangle has a base of s and a height of s.

Area of a triangle is:

A = ½ bh

Given A = 0.32, b = s, and h = s:

0.32 = ½ (s)(s)

0.64 = s²

s = 0.8

The side length of the square is 0.8 units.

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Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS. ​
Lemur [1.5K]

Answer:

9cm

Step-by-step explanation:

  1. Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
  2. By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
  3. Now we know that QS=PT=8.
  4. By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
  5. We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.
8 0
3 years ago
Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
3 years ago
WEEEEEEEEELLLLLLLLLLLL What is 1+1 :0 too confusion for my 1 braincell
lana [24]

Answer:

WELLLLLLLLLLLLLLLLLLLLLL it's 11 obviously. (or 2 ;P)

Step-by-step explanation:

i have 1/2 of a braincell :)

5 0
2 years ago
Read 2 more answers
Can anybody help me out
VashaNatasha [74]

Answer:

1. There are 8 big fish for every 10 small fish.

2. There are 4 big fish for every 5 small fish.

5 0
3 years ago
Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
3 years ago
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