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gogolik [260]
2 years ago
11

Help with math please!!

Mathematics
1 answer:
STatiana [176]2 years ago
7 0

Number 1: 2.8 Number 2 : 5

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Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
3 years ago
When giving directions to your house, you tell someone to drive two miles east, then three miles north, then one mile west. what
Sonja [21]
Then my house will be in the south because thats the only one that is left
4 0
3 years ago
Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for
earnstyle [38]
2 pieces of squid = $3.50 
Therefore 1 piece of squid = $1.75 (3.50÷2)

1 piece of eel = $3.25

3 pieces of tuna = $6.75
Therefore 1 piece of tuna = $2.25 (6.75÷3)

4 pieces of crab = $8.00 
Therefore 1 piece of crab = $2 (8÷4)

Put them in order of price and you get 

$1.75 , $2 , $2.25 , $3.25
squid,crab,tuna,eel
5 0
3 years ago
Read 2 more answers
A circle has a radius of 7/4 units and is centered at <br> (−2.5,−4.4)
lana66690 [7]
Are you asking for the expression?

If so, you plug into the format (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius.

(x + 2.5)² + (y + 4.4)² = (7/4)²

Simplify to get your equation and answer:

(x + 2.5)² + (y + 4.4)² = 49/16
6 0
3 years ago
Read 2 more answers
the length of one of the diagonals of a quadrilateral is 10 cm and the particular drawn from the opposite vertices to this diago
loris [4]

Answer:

Therefore the area of the quadrilateral =35 cm²

Step-by-step explanation:

Given, the length of one of diagonal of quadrilateral is 10 cm and perpendicular drawn from the opposite vertices to this diagonal are the length of 2.8 cm and 4.2 cm.

A diagonal divided a quadrilateral into two triangle.

Therefore the area of the quadrilateral

= sum of the area of the triangles

=(\frac{1}{2}\times 10\times 2.8+ \frac{1}{2}\times 10\times 4.2)cm²      [ area of a triangle= \frac{1}{2}\times base\times height]

=35 cm²

3 0
3 years ago
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