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
JulsSmile [24]
2 years ago
6

Find the area of the shape shown below.

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

Answer:

6 + 2 = 8 x 2 = 16 divided by 2 = 8

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H (Height) x 1/2 (basically dividing by 2)

You might be interested in
What is the value of the 2 in 5,678.321
STALIN [3.7K]

.020 because it is 2 spots behind the decimal

7 0
3 years ago
Mmmmm help HELPPPPP,,,,,,
Aleks [24]

Answer:

I guess it's 63degrees

I hope it will help

4 0
2 years ago
Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales
nadezda [96]

It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer.  Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by.  Does that help?

8 0
2 years ago
What is these in simplest form <br> a) 2a + 4 + 5a + 8 = <br> b) -2b – 7 + 3b – 8 =
iren [92.7K]

Answer:

a ) 7a + 12

b) b - 15

Step-by-step explanation:

a)2a+5a +8+8

= 7a + 12

b) b - 7 - 8

= b-15

6 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
Other questions:
  • A teacher needs to choose seven students to hand out papers. The total number of ways he may choose the students can be found us
    10·2 answers
  • Toya can run one lap of the track in 1 min. 3 sec., which is 90% of her younger sister niki's time. what is niki's time for one
    10·1 answer
  • Which of the following is the complete list of roots for the polynomial function f(x)(x^2+2x-15)?–5, 3 –5, 3, –4 + i, –4 – i –5,
    8·2 answers
  • Match each equation to the situation it represents.
    15·1 answer
  • A tax cabs entry cost is $2.50 in each mile traveled is $.75 . Write an expression for the total cost of the taxi ride traveling
    9·2 answers
  • You roll a standard number cube. Find P(number greater than 1).
    10·1 answer
  • A triangle has an area of 32 square millimeters and a base of 8 millimeters.<br> What is its height?
    12·1 answer
  • Andrea has 3 tiles.
    15·1 answer
  • Por favor<br> 3⋅f(−4)−3⋅g(−2)
    11·1 answer
  • A survey determined that 39% of the students at Lake Middle like math. There were 400 students in the cafeteria on Thursday. Wha
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!