1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir [108]
3 years ago
7

How do u do this? Plz show work!!!

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0
If you draw a diagonal from upper left to lower right, you divide the figure into two triangles. One is a 3-4-5 right triangle (with area = (1/2)*3*4 = 6). The other is a 5-5-4 isosceles triangle.

The altitude of the isosceles triangle (upper left vertex to side 4) can be found from the Pythagorean theorem as
.. altitude = √(5^2 -2^2) = √21
So, the area of the isosceles triangle is
.. (1/2)*4*√21 = 2√21

The sum of the areas of the two triangles matches selection C.
You might be interested in
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make
Darina [25.2K]
Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm

We need to find the volume of each shape.

Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28

Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84 
4.5 = h

The height of the cylinder is 4.5cm
7 0
3 years ago
What is the value of 2(x+y)² when X=3 and Y=4 ?
otez555 [7]

Answer:

98

Step-by-step explanation:

Step 1: Define

2(x + y)²

x = 3

y = 4

Step 2: Substitute and Evaluate

2(3 + 4)²

2(7)²

2(49)

98

3 0
3 years ago
Read 2 more answers
Linda is one of 8 teachers in the Mathematics department. In how many different ways can three of the teachers be chosen so that
Alexxx [7]

Answer:

21 ways

Step-by-step explanation:

a, b, c, d, e, f, g, linda

1    2   linda  

a__ b__ __

a__c __ __

a__d __ __

a__ e__ __

a__ f__ __

a__ g__ __

b__c __ __

b__d __ __

b__ e__ __

b__ f__ __

b__ g__ __

c__d __ __

c__ e__ __

c__ f__ __

c__ g__ __

d__ e__ __

d__ f__ __

d__ g__ __

e__ f__ __

e__ g__ __

f__ g__ __

count them

in total

there are

21 triples

4 0
2 years ago
Evaluate the following expression. round your answer to two decimal places. log8 2.718
eduard

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

7 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
NISA [10]

Answer:   \bold{b)\quad \dfrac{2\pi}{3},\dfrac{4\pi}{3},0}

<u>Step-by-step explanation:</u>

Note the following identities: tan² x = sec²x - 1

                                                 \sec x=\dfrac{1}{\cos}

tan² x + sec x = 1

(sec² x -1) + sec x = 1

sec² x + sec x - 2 = 0

(sec x + 2)(sec x - 1) = 0

sec x + 2 = 0     sec x - 1 = 0

sec x = -2          sec x = 1

\dfrac{1}{\cos x}=-2\qquad \dfrac{1}{\cos x}=1\\\\\cos x=-\dfrac{1}{2}\qquad \cos x=1\\\\x=\dfrac{2\pi}{3}, \dfrac{4\pi}{3}\qquad x=0

8 0
3 years ago
Read 2 more answers
Other questions:
  • Wich of these are part of the irrational number set ?
    13·1 answer
  • How many times does 50 go into 800
    8·1 answer
  • Find the equation of the line that is perpendicular to the line x+3y+10=0 and goes through the point (5,-1)
    9·1 answer
  • A local bowling alley charges $4.50 to play one game and $4 to rent one pair of shoes. The expression 4.5g + 4 represents the to
    5·1 answer
  • PLEASE HELPPPP!!!!! need help with this
    5·1 answer
  • Simplify the expression<br> (5x^2)^3
    7·1 answer
  • There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys
    9·2 answers
  • Please help NO LINKS
    14·1 answer
  • Solve. 140% of 340 is what number?​
    14·1 answer
  • Which segment does NOT intersect line AG? Please help.​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!