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Setler79 [48]
2 years ago
15

Mrs. thomas wants to put a table in the corner of a room. she considers the measurements of these tables. table 1 length: 1.5 fe

et width: 2.4 feet diagonal: 3.0 feet table 2 length: 3.2 feet width: 2.8 feet diagonal: 4.0 feet table 3 length: 2.4 feet width: 3.2 feet diagonal: 4.0 feet table 4 length: 2.6 feet width: 1.8 feet diagonal: 3.0 feet the walls forming the corner meet at a 90º angle. which table will fit snugly in the corner? table 1 table 2 table 3 table 4
Mathematics
1 answer:
anastassius [24]2 years ago
8 0

Table 3 will fit snugly in the corner of the room.

<h3>What is the Pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

From the given data we will check the value of the diagonal by applying the Pythagorean theorem.

So by using the Pythagorean theorem:-

D ²  =    L²   +   W²

D²   =    ( 2.4 )²  +  ( 3.2 )²

D²   =    ( 5.76   +    10.24 )  =   16

D     =   √16   =  4  feet

Therefore table 3 will fit snugly in the corner of the room.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ1

You might be interested in
If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

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5 0
2 years ago
A certain number is the same as the square root of the product of 8 and the number find the number
Rudik [331]
So, we have x=√8x.  The square root is a number times itself, so x=√x*x.  That means that 8 is x.
6 0
4 years ago
Can someone explain this? :)
Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

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

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))
lukranit [14]

Answer:

(A) No solution

(B) One solution

(C) One solution

(D) One solution

(E) No solution

Please tell me if this is incorrect. I hope this helps!

6 0
3 years ago
Justin is on a road trip. Over the past two days, he’s driven a total distance of 504 miles at an average speed of 56 miles/hour
irakobra [83]
Recall d  = rt, distance = rate * time.

now, he has a speed rate of 56 mph for a distance of 504

\bf d=rt\implies 504=56t\implies \cfrac{504}{56}=t\implies \stackrel{hours}{9}=t

so, at that speed the whole driving time is 9 hours then.  Ok, he drove 2 hours today, that means he drove 7 yesterday, 9 - 2.

how many miles is it for 7 hours at 56mph?  d = rt ---> d = 56 * 7

that many miles he drove yesterday.
8 0
3 years ago
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