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oee [108]
2 years ago
5

A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?

Mathematics
1 answer:
Allisa [31]2 years ago
5 0

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

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Can someone solve this for me please.
nika2105 [10]

Answer:

  • The value of PR is 21 ft.

Step-by-step explanation:

<u>We know that:</u>

  • 3(PQ + QT + TP) = PR + RS + SP
  • PQ = 7 ft.
  • QT = 4 ft
  • RS = 12 ft.

<u>Work:</u>

  • 3(PQ + QT + TP) = PR + RS + SP
  • => 3(7 + 4 + TP) = PR + 12 + SP
  • => 21 + 12 + 3TP = PR + 12 + SP
  • => 21 + 3TP = PR + SP
  • => 21 + SP = PR + SP                                                                       [3TP = SP]
  • => 21 = PR

Hence, <u>the value of PR is 21 ft.</u>

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
Let logb A= 3; logb C = 2; logb D=5<br> What is the value of logb D^2/C^3A
Ne4ueva [31]

Answer:

The value of given log function is 1 .

Step-by-step explanation:

Given as :

Logb A = 3

Logb C = 2

Logb D = 5

<u>Now from log property </u>

if , Logb x = c    , then  x = b^{c}

So,

Logb A = 3 , then A =  b^{3}

Logb C = 2 , then C =  b^{2}

Logb D = 5 , then D =  b^{5}

Now, According to question

Logb\frac{D^{2}}{C^{3}A}

So, Logb\frac{(b^{5})^{2}}{(b^{2})^{3}\times b^{3}}

Or, Logb\frac{b^{10}}{b^{6}\times b^{3}}

or, Logb\frac{b^{10}}{b^{9}}

Now, since base same So,

log_{b}b^{10-9}

∴ log_{b}b^{1}

<u>Now log property </u>

log_{b}b = 1

Hence The value of given log function is 1 . answer

5 0
3 years ago
Can someone please help me?
charle [14.2K]

9514 1404 393

Answer:

  20%

Step-by-step explanation:

A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...

  English/Class = 72°/360° = 0.20 = 0.20×100% = 20%

20% of the students chose English.

8 0
3 years ago
Which of the following could be a measurement on a scale drawing that has a scale of 2:5? 2 in.:5 ft
12345 [234]
It's the1st: 4 cm/10 cm because:
4/10 = 2/5 .  and because they have the SAME UNIT (cm)
6 0
3 years ago
Find the area of the composite figure. PLEASE HELP. SORRY BUT ENGLISH ONLY.
Ivahew [28]
Looks like a regular hexagon

see my attachment

we put some imaginary lines and take the 2 trignles on the right and put them on teh left side
now we have a rectangle wit height 8 and width 2+4 or 6
area=8*6=48 cm^2

4 0
3 years ago
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