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VARVARA [1.3K]
3 years ago
11

The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0

Answer:

The approximate length of the diagonal of the rectangle = 6.4 units ⇒ B

Step-by-step explanation:

* Lets revise the properties of the rectangle

- The rectangle has 4 sides

- Each two opposite sides are parallel and equal in length

- It has for right angles

- Its two diagonals are equal in length

- The diagonal divide the rectangle into two congruent right triangles

* Now lets solve the problem

∵ The length of the rectangle = 5 units

∵ The width of the rectangle = 4 units

∵ The diagonal of the rectangle with the length and the width formed

  right triangle, the length and the width are its two legs and the

  diagonal is its hypotenuse

- To find the length of the hypotenuse use Pythagoras theorem

∵ Hypotenuse = √[(leg1)² + (leg2)²]

∴ The length of the diagonal = √[5² + 4²] = √[25 + 16] = √41

∴ The approximate length of the diagonal of the rectangle = 6.4 units

V125BC [204]3 years ago
6 0

Answer:

b

Step-by-step explanation:

using pythagoras theorem:

d=(5^2+4^2)^1/2

=6.4 units

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Anna35 [415]

Answer:

Isosceles acute

Step-by-step explanation:

2 of the sides are the same and 1 is different therefore it is isosceles. Alol the angles are acute.

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3 years ago
Find the number of 3-digit numbers formed using the digits 1 to 9, without repetition, such the numbers either have all digits l
Tasya [4]

Answer: 120

Step-by-step explanation:

The total number of digits from 1 to 9 = 10

The number of digits from less than 5 (0,1,2,3,4)=5

Since repetition is not allowed so we use Permutations , then the number of 3-digit different codes will be formed :-

^5P_3=\dfrac{5!}{(5-3)!}=\dfrac{5\times4\times3\times2!}{2!}=5\times4\times3=60

The number of digits from greater than 4 (5,6,7,8,9)=5

Similarly, Number of 3-digit different codes will be formed :-

^5P_3=60

Hence, the required number of 3-digit different codes = 60+60=120

3 0
3 years ago
Which of the following is a coefficient in the algebra expression 12p^5+r-16?
Andru [333]

Answer:

12 (or A)

Step-by-step explanation:

A coefficient is the number before a variable.

Examples: 5r , 34y,  10x^2 (the coefficients are 5, 34, and 10)

12 has a variable after it, so 12 is a coefficient.

8 0
2 years ago
Betsy is shopping for a new rug, and she finds a square rug that she wants to purchase for her living room. Before purchasing th
Alika [10]

Options:

A.) square root

B.) exponential

C.) absolute value

D.) cube root

Answer : A) square root

We know area of square having side 's' = s* s = s^2

For example

Area of square =  16 cm^2

To find side we take square root

Area = (side)^2

16 = (side)^2

Take square root on both sides

\sqrt{16}= \sqrt{side^2}

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Betsy knows that the area of the rug is A square feet.

Area A = (side)^2

\sqrt{A} = side

So answer is square root.

6 0
3 years ago
Read 2 more answers
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
Hatshy [7]

Answer: Option D

D. 880 = 45d + 70; 18 days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call d the number of days that Barry attends school

So the cost was:

45d + 70 = 880

Now we solve the equation for the variable d

45d= 880-70

45d= 810

d= \frac{810}{45}

d= 18\ days

The answer is the option D

6 0
3 years ago
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