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viktelen [127]
3 years ago
11

Danny, John and Morgan are collecting donations for the schools' basketball team. Danny wants to

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

b

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Factorize the given expression:<br> 27x3 - 63x2 + 49x – 343 27
stealth61 [152]
49x−9306 I’m not sure
4 0
2 years ago
The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang
siniylev [52]
The sum of angles in any quadrilateral, including trapezoid, is 360⁰. 
Because we have <span>an isosceles trapezoid, we have 2 angles with measure 135⁰,
and we have 2 equal acute angles with measure x⁰.
So, we can find value of acute angle,
135*2 +2x =360⁰
270+2x=360
2x=360-270
2x=90
x=45⁰

So, acute angles in trapezoid = 45⁰.
From triangle ABC,
angle ACB =90⁰
angle A=45⁰,
so angle ABC= 180-(90-45)=45⁰
Triangle ABC is isosceles triangle,so |AC| = |CB|= 5 in.

So, longer base AA' = 5+4+5= 14 in

Now, we can find area of trapezoid.
shorter base = 4 in
longer base = 14 in
altitude =h = 5 in
Area of trapezoid =(1/2)(base1+base2)*h
Area of trapezoid = (1/2)(4+14)*5= 9*5=45 in²
Answer is 45 in².
</span>

5 0
3 years ago
720 seconds ( 1hour/60minutes)=12 hours
Vilka [71]
What's the question here?
6 0
3 years ago
What is the value of x?
Angelina_Jolie [31]

Answer:

x = 5.4

Step-by-step explanation:

3/x = 4/7.2

cross-multiply:

4x = 21.6

x = 5.4

5 0
3 years ago
64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!
antoniya [11.8K]

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

<u>Points to remember</u>

<u>Distance formula</u>

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

<u>To find the length and breadth</u>

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and  

Breadth of rectangle = 5 units

<u>To find the area of rectangle</u>

Area = Length * Breadth

  = 8 * 5 =  40 square units

8 0
3 years ago
Read 2 more answers
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