All categories

2 years ago

Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?

Mathematics

1 answer:

sveticcg [70]2 years ago

6 0

$\mathsf\blue{♧ANSWER♧}$

Area = length × width

$\mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }$

$\orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }$

$\orange \implies \mathsf \green{ \frac{81}{8} = 10.125}$

$\mathsf \blue{10.125 \: square \: units}$

You might be interested in

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?

marissa [1.9K]

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
$D_{AB} = \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}
$
$x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3$
$D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}$
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
$D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}$
$D_{AB}= \sqrt{(3)^2+(-1)^2}$
$D_{AB}= \sqrt{9+1}$
$D_{AB}= \sqrt{10}$

Now, the formula for the perimeter of a pentagon is
P = 5×side length

So...
Perimeter = 5× $\sqrt{10}$

The answer is (2)

8 0

3 years ago

Q2) for both of the following, calculate A5 and A100. (i) An= 6n-3

dlinn [17]

Answer:

27 and 597

Step-by-step explanation:

To evaluate A5 and A100, substitute n = 5, n = 100 into An , that is

A5 = 6(5) - 3 = 30 - 3 = 27

A100 = 6(100) - 3 = 600 - 3 = 597

4 0

3 years ago

Read 2 more answers

Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral

aleksandrvk [35]

Answer:

Correct answer is $C)\ 254\ m^{2}$

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

$\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}$

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

$\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}$

$\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}$

Hence correct answer is $C)\ 254\ m^{2}$ .

3 0

3 years ago

Now, suppose one of the roots of the polynomial function is irrational. The roots of the function are 2, <img src="https://tex.z

nikklg [1K]

Irrational roots occurs with its conjugate.

Therefore, -√3 is also root of the function.

The answer is -√3.

6 0

3 years ago

Read 2 more answers

Please answer CORRECTLY for brainliest guarantee. If your answer is not correct or does not have a explanation I will report you

Scorpion4ik [409]

Answer:

c. 45.34ft

Step-by-step explanation:

When leg one of the triangle is 15ft and leg two is 17 ft you would take 17^2 + 15^2 and then you find the square root of that (514) to get the hypotenuse of the triangle. After that you multiply by two to account for the 2/2 sqaure foot per each unit

4 0

3 years ago