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3 years ago

The perimeter of a rectangle is 34 units. Its width is 6.5 units.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

6 0

Answer:

10.5 units

Step-by-step explanation:

From the question;

Perimeter of a rectangle is 34 units
Width of the rectangle is 6.5 units

We are supposed to determine the length of the rectangle;

We know that the perimeter of a rectangle is given by;

P = 2(L+W), where L is the length and W is the width.

Therefore, in this case;

34 units = 2(L + 6.5 units)

We get;

34 units = 2L + 13

Solving for L,

2L = 34 - 13

2L = 21

L = 10.5 units

Thus, the length, L, of a rectangle is 10.5 units

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In the above figure, m&angle;P = 125° and m&angle;Q = 5x. If angles P and Q are supplementary angles.

Veseljchak [2.6K]

9514 1404 393

Answer:

the correct choice is marked: x = 11; Q = 55°

Step-by-step explanation:

If P and Q are supplementary, then ...

Q = 180° -P

Q = 180° -125°

Q = 55°

Then we have ...

5x = 55°

x = 11°

4 0

3 years ago

A rectangular picture frame measures 27 cm by 48 cm. What is the perimeter or distance around the picture frame in meters

Firlakuza [10]

150, you just add the numbers

7 0

4 years ago

Mais teacher gives 4 quizzes each worth 5 points after three quizzes she has the score 4, 3, and 4. What does she need to get on

skad [1K]

Answer:

Therefore, she must get 5 points from the last quiz to have a mean score of 4

Step-by-step explanation:

Mean is the average of a set of data, it is the sum of the data divided by the number of data.

To have a mean of 4 from 4 quizzes;

Let x represent the total;

mean = x/4

4 = x/4

x = 4 × 4 = 16

To have a mean of 4 he must have a total score of 16.

Let y represent her score in the last quiz;

16 = 4+3+4+y

16 = 11+y

y = 16-11 = 5

Therefore, she must get 5 points from the last quiz to have a mean score of 4

3 0

3 years ago

HELP ASAP!<br> Plase explain your answer!

mr Goodwill [35]

Answer:

$10\ yd^2$

Step-by-step explanation:

<u>Area Of Compound Regions</u>

When a surface has no regular shape, it can be usually divided into smaller regular parts and add their areas. The surface shown in the figure can be split into 3 smaller rectangles (please refer to the image below).

The area of the yellow part is

$A_y=(1 yd)(3 yd)=3\ yd^2$

The pink region has a height h=4 yd - 3 yd = 1 yd

The area of the pink region is

$A_p=(4\ yd)(1\ yd)=4 \ yd^2$

The total area is

$A_t=2A_y+A_p=2(3)+4=10\ yd^2$

3 0

4 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago