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3 years ago

Help! What is m∠A ? ____°

Mathematics

1 answer:

beks73 [17]3 years ago

4 0

I believe it is 72 because there is a right angle so thats 90 the known angle is 18 so thats 18-90-18=72

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What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?

iren2701 [21]

Answer:

The lateral area is 624 unit²

Step-by-step explanation:

* Lets explain how to solve the problem

- The regular square pyramid has a square base and four congruent

triangles

- The slant height of it = $\sqrt{(\frac{1}{2}b)^{2}+h^{2}}$ , where

b is the length of its base and h is the perpendicular height

- Its lateral area = $\frac{1}{2}.p.l$ , p is the perimeter of the base

and l is the slant height

* Lets solve the problem

∵ The base of the pyramid is a square with side length 24 units

∵ Its perpendicular height is 5 units

∵ The slant height (l) = $\sqrt{(\frac{1}{2}b)^{2}+h^{2}}$

∴ l = The slant height of it = $\sqrt{(\frac{1}{2}.24)^{2}+5^{2}}$

∴ l = $\sqrt{(12)^{2}+25}=\sqrt{144+25}=\sqrt{169}=13$

∴ l = 13 units

∵ Perimeter of the square = b × 4

∴ The perimeter of the base (p) = 24 × 4 = 96 units

∵ The lateral area = $\frac{1}{2}.p.l$

∴ The lateral area = $\frac{1}{2}.(96).(13)$

∴ The lateral area = 624 unit²

* The lateral area is 624 unit²

4 0

3 years ago

Sharon is painting her house. she needs 5 gallons of brown paint for every 7 gallons of white paint. How many gallons of white

Igoryamba

Answer:

19.6

Step-by-step explanation:

The ratio of brown paint to white paint is, 5:7 or $\frac{5}{7}$ so if he bought 14 gallons of white paint we need to figure out:

$\frac{5}{7} =\frac{14}{x}$

which we can as it only has one unknown:

5x=14×7

5x=98

x=19.6

So the answer is 19.6

3 0

3 years ago

Read 2 more answers

The rectangular box has a lenth of 10 inches, a width of 8 inches, and a height of 20 inches.

Ket [755]

The area is 1600 inches

3 0

3 years ago

Read 2 more answers

Find the measure of the missing angles

Ipatiy [6.2K]

1- 38
2-90
3-38
hopefully i’m right i’m not 100% sure though :)

6 0

3 years ago

Read 2 more answers

The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

4 0

3 years ago