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
Ostrovityanka [42]
2 years ago
9

Calculate the surface area of the prism.

Mathematics
2 answers:
Lana71 [14]2 years ago
8 0

Answer:

152 units.

Step-by-step explanation:

(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)

40+40+48+12+12

152

xxMikexx [17]2 years ago
6 0
152 units. i agree with the person above
You might be interested in
Brainliest Brainliest Brainliest
Paladinen [302]

Answer:

2.5 times z = 10, or 2.5<em>z </em>=<em> </em>10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Select ALL of the symbols that would make the comparison true. 2.5 ___ 2.05.
Nutka1998 [239]
I’m pretty sure it would be just E and F
6 0
3 years ago
Trapezoid PQRS has been rotated to trapezoid P'Q'R'S'.
Shalnov [3]
I think it is 90
Hope this help you?!
4 0
2 years ago
∆ABC has vertices A(–2, 0), B(0, 8), and C(4, 2)
Natali [406]

Answer:

Part 1) The equation of the perpendicular bisector side AB is y=-\frac{1}{4}x+\frac{15}{4}

Part 2) The equation of the perpendicular bisector side BC is y=\frac{2}{3}x+\frac{11}{3}

Part 3) The equation of the perpendicular bisector side AC is y=-3x+4

Part 4) The coordinates of the point P(0.091,3.727)

Step-by-step explanation:

Part 1) Find the equation of the perpendicular bisector side AB

we have

A(–2, 0), B(0, 8)

<em>step 1</em>

Find the slope AB

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{8-0}{0+2}

m=4

<em>step 2</em>

Find the slope of the perpendicular line to side AB

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

m=-\frac{1}{4}

<em>step 3</em>

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M(\frac{-2+0}{2},\frac{0+8}{2})

M(-1,4)

<em>step 4</em>

Find the equation of the perpendicular bisectors of AB

the slope is m=-\frac{1}{4}

passes through the point (-1,4)

The equation in slope intercept form is equal to

y=mx+b

substitute

4=(-\frac{1}{4})(-1)+b

solve for b

b=4-\frac{1}{4}

b=\frac{15}{4}

so

y=-\frac{1}{4}x+\frac{15}{4}

Part 2) Find the equation of the perpendicular bisector side BC

we have

B(0, 8) and C(4, 2)

<em>step 1</em>

Find the slope BC

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2-8}{4-0}

m=-\frac{3}{2}

<em>step 2</em>

Find the slope of the perpendicular line to side BC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

m=\frac{2}{3}

<em>step 3</em>

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M(\frac{0+4}{2},\frac{8+2}{2})

M(2,5)

<em>step 4</em>

Find the equation of the perpendicular bisectors of BC

the slope is m=\frac{2}{3}

passes through the point (2,5)

The equation in slope intercept form is equal to

y=mx+b

substitute

5=(\frac{2}{3})(2)+b

solve for b

b=5-\frac{4}{3}

b=\frac{11}{3}

so

y=\frac{2}{3}x+\frac{11}{3}

Part 3) Find the equation of the perpendicular bisector side AC

we have

A(–2, 0) and C(4, 2)

<em>step 1</em>

Find the slope AC

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2-0}{4+2}

m=\frac{1}{3}

<em>step 2</em>

Find the slope of the perpendicular line to side AC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

m=-3

<em>step 3</em>

Find the midpoint AC

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M(\frac{-2+4}{2},\frac{0+2}{2})

M(1,1)        

<em>step 4</em>

Find the equation of the perpendicular bisectors of AC

the slope is m=-3

passes through the point (1,1)

The equation in slope intercept form is equal to

y=mx+b

substitute

1=(-3)(1)+b

solve for b

b=1+3

b=4

so

y=-3x+4

Part 4) Find the coordinates of the point of concurrency of the perpendicular bisectors (P)

we know that

The point of concurrency of the perpendicular bisectors is called the circumcenter.

Solve by graphing

using a graphing tool

the point of concurrency of the perpendicular bisectors is P(0.091,3.727)

see the attached figure

5 0
3 years ago
What would Y be equal to in the problem 0.5x + 0.6y = 5.4
Alla [95]

Answer:

y = -\frac{5}{6}x + 9

Step-by-step explanation:

0.5x + 0.6y = 5.4

0.6y = -0.5x + 5.4

Multiply 10 on all sides.

6y = -5x + 54

Divide 6 on all sides.

y = -\frac{5}{6}x + 9

7 0
2 years ago
Other questions:
  • 1. Give an example of a repeating decimal where two digits repeat. Explain why your number is a rational number.
    11·1 answer
  • When should I make a CoC clan.O. which town hall I mean.??
    5·1 answer
  • What is the volume of the sphere
    11·2 answers
  • The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have
    14·1 answer
  • -3x-4(x-1)=5(2x+1)+6x
    9·1 answer
  • Please help asap will give brainliest !!!
    9·1 answer
  • Giving the brainliesttt
    13·1 answer
  • Find the value of x.<br> 6<br> 14<br> 3x-12<br> A<br> o<br> 21<br> x = [?]<br> Enter
    14·2 answers
  • Ingrid dug a trench eighteen twentieths of a meter long. The next day she dug nine twentieths of a meter more of the trench. Wha
    5·2 answers
  • Divide £42 in the ratio 4:3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!