MATHEMATICS MIDDLE SCHOOL

Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]A. 26.47 units²
B. 28.53 units²
C. 33.08 units²
D. 27.28 units²
Find the area of quadrilateral ABCD. [Hint: the diagonal divides - 1

Answers

Answer 1
Answer:

Answer:

Option B 28.53\ units^(2)

Step-by-step explanation:

The area of quadrilateral ABCD is equal to the area of triangle ABD plus the area of triangle ADC

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

Let  

a,b,c be the lengths of the sides of a triangle.  

The area is given by:

A=√(p(p-a)(p-b)(p-c))

where

p is half the perimeter

p=(a+b+c)/(2)

step 1

Find the area of triangle ABD

we have

a=AB=2.89\ units

b=BD=8.59\ units

c=DA=8.6\ units

Find the half perimeter p

p=(2.89+8.59+8.6)/(2)=10.04\ units

Find the area

A=√(10.04(10.04-2.89)(10.04-8.59)(10.04-8.6))

A=√(10.04(7.15)(1.45)(1.44))

A=√(149.89)

A=12.24\ units^(2)

step 2

Find the area of triangle ADC

we have

a=AC=4.3\ units

b=AD=8.6\ units

c=DC=7.58\ units

Find the half perimeter p

p=(4.3+8.6+7.58)/(2)=10.24\ units

Find the area

A=√(10.24(10.24-4.3)(10.24-8.6)(10.24-7.58))

A=√(10.24(5.94)(1.64)(2.66))

A=√(265.35)

A=16.29\ units^(2)

step 3

Find the total area

A=12.24+16.29=28.53\ units^(2)
Answer 2
Answer:

Answer:

B.) 28.53 units²

Step-by-step explanation:

I got it correct on founders edtell

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there are 56 students going to the game. the coach puts 7 students in each van. which number sentence can be used to find out how many vans are needed to take the students to the game?

Answers

Given:
students going to the game = 56
students in each van = 7
number of vans used = unknown; x

The number sentence that can be used to find out how many vans are needed to take the students to the game is:

7 * x = 56

x = 56/7
x = 8 vans needed.
I had this problem before, 8 vans are needed because 56 students ÷ 7 students / van = 8 vans needed.

PLEASE HELP I GIVE THANKS

Answers

The formula for a cylinder's surface area is, as I said before : \n 2\pi rh+2\pi { r }^( 2 ) in this question, h=x

Let's plug the values and solve :

2\pi rh+2\pi { r }^( 2 )\n \n 2\cdot \pi \cdot 5\cdot 12+2\cdot \pi \cdot { 5 }^( 2 )=2\cdot \pi \cdot 60+2\cdot \pi \cdot 25=120\pi +50\pi =170\pi \quad square\quad units\n Answer\quad is\quad A

So I have a problem with a pie chart and I need to find the total amount of people surveyed using the amount of one portion of it.I cannot figure out how to do this, so I hope someone can help me. Also, I need you to explain how you got your answer because this is basically an essay question because I need to explain the steps on how I got it

Answers

42% = 210 so, 
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Cross multiply-
42x=21000
Divide by 42 on both sides and you get- 500

Answer:

500 Total people were surveyed

Step-by-step explanation:

All you gotta do is divide the number of football players, 210, by the percentage, 0.42. And when you divide 210 by 0.42, you get the total number of people surveyed, which was 500.

210 ÷ 0.42 = 500

How are all these numbers alike 3,5,7,11,13

Answers

They are odd numbers.

They are all odd numbers. A number that cannot be divided equally is an odd number. They are also prime numbers

Anna can buy 3 sweatshirts for total of $45. How much would it cost if she were to buy five sweatshirts at the same price?

Answers

75$
each t-shirt costs 15$
to get that do 45/3

Answer:

$75

Step-by-step explanation:

(45 / 3) x 5 = 75

To find the amount of money for each t-shirt, divide 45 by 3.

45 / 3 = 15

To find out the price of 5 t-shirts, multiple 15 by 5.

15 x 5 = $75

$75 is your answer :)
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