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dimulka [17.4K]
2 years ago
12

What is the area of triangle DEF?

Mathematics
1 answer:
FrozenT [24]2 years ago
3 0

Answer:

A=2\sqrt{14}\ units^2

Step-by-step explanation:

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.  

so

A=\sqrt{s(s-a)(s-b)(s-c)}

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

a=5\ units,b=6\ units,c=3\ units

<em>Find the semi-perimeter s </em>

s=\frac{5+6+3}{2}=7\ units

Find the area of triangle

A=\sqrt{7(7-5)(7-6)(7-3)}

A=\sqrt{7(2)(1)(4)}

A=\sqrt{56}\ units^2

simplify

A=2\sqrt{14}\ units^2

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What is the quotient of 35.86 divided by 2.2
Dima020 [189]

Answer:

16.3

Step-by-step explanation:

You simply divide the 35.86 by 2.2 using long division or any method you'd like!

8 0
3 years ago
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
2 years ago
Would I have to add all of them or multiply I can’t remember how to do it nor if I actually learned this.
nirvana33 [79]

Answer:

Multiply Length times Width times Height.

Step-by-step explanation:

sq root 24 x sq root 18 x sq root 8 = 58.78

5 0
3 years ago
How do you Solve d+7/−3=4?
vova2212 [387]

Answer:

One solution was found :

                  d = 19/3 = 6.333

Step-by-step explanation:

Step by step solution :

Step  1  :

            7

Simplify   ——

           -3

Equation at the end of step  1  :

        7    

 (d +  ——) -  4  = 0

       -3    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  -3  as the denominator :

         d     d • -3

    d =  —  =  ——————

         1       -3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

d • 3 + 7 • -1     3d - 7

——————————————  =  ——————

      3              3  

Equation at the end of step  2  :

 (3d - 7)    

 ———————— -  4  = 0

    3        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        4     4 • 3

   4 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(3d-7) - (4 • 3)     3d - 19

————————————————  =  ———————

       3                3  

Equation at the end of step  3  :

 3d - 19

 ———————  = 0

    3  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3d-19

 ————— • 3 = 0 • 3

   3  

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3d-19  = 0

Solving a Single Variable Equation :

4.2      Solve  :    3d-19 = 0

Add  19  to both sides of the equation :

                     3d = 19

Divide both sides of the equation by 3:

                    d = 19/3 = 6.333

One solution was found :

                  d = 19/3 = 6.333

6 0
3 years ago
Can someone please help me on this question
Grace [21]

Answer: ? = 72

Step-by-step explanation:

   We will set up a proportion to solve.

\displaystyle \frac{?}{56} =\frac{45}{35}

   Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

3 0
2 years ago
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