All categories

4 years ago

What is the area of parallelogram ABCD?

Mathematics

2 answers:

garri49 [273]4 years ago

8 0

Answer: 20 square units

Step-by-step explanation: Area of parallelogram=base×height

here, base=CD and length of CD=5-1=4

so, base=4

and height=BD length of BD=5

so, height=5

⇒ area= 4×5= 20 square units

Damm [24]4 years ago

6 0

The answer for the area of parallelogram ABCD is 20 square units

You might be interested in

What is 35 X (5 +150)=

ololo11 [35]

Answer: 5425

Step-by-step explanation:

7 0

3 years ago

Between what two consecutive intergers is √182 how can you determine this without a calculator

Nata [24]

Answer:

You change it to a deciamal, So you sqaure root the 182 and that becomes 13.49074 in a decimal then you graph it. but you should know how to sqaure root wihtout a caculater, thats basis geomentry

Step-by-step explanation:

3 0

4 years ago

Which is an x-intercept of the graph of the function y=cot(3x)?

OLga [1]

Answer:

(pi/2,0)

Step-by-step explanation:

7 0

3 years ago

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is: b Parallelogram with sides of 6 cm and

zlopas [31]

We consider the following conversion of units:
10 dm = 1 m
100 cm = 1 m
1000 mm = 1m
For this case the lateral area is given by:
rectangle 1:
A1 = (0.3 * (1/10)) * (6 * (1/100))
A1 = 0.0018 m ^ 2
Rectangle 2:
A2 = (0.3 * (1/10)) * (20 * (1/1000))
A2 = 0.0006 m ^ 2
The lateral area is:
A = 2 * A1 + 2 * A2
A = 2 * (0.0018) + 2 * (0.0006)
A = 0.0048 m ^ 2
Answer:
The lateral area of the right is:
A = 0.0048 m ^ 2

3 0

4 years ago