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
Whitepunk [10]
3 years ago
10

The longer diagonal of a right trapezoid is 13 cm. The longer base is 12 cm. Find the area of the trapezoid if the shorter base

is 8 cm.
Mathematics
1 answer:
topjm [15]3 years ago
5 0
Draw a diagram of a right trapezoid . 
<span>B ---------------- C </span>
<span>.| ............ ............ * </span>
<span>.| ............ ............ ..... * </span>
<span>A --------------- -------------- D </span>
<span>Longer diagnal BD = 13cm </span>
<span>Longer base AD = 12cm </span>
<span>Shorter base BC = 8cm </span>
<span>Angle A is 90° , so △BAD is a right triangle . </span>
<span>AB^2 + AD^2 = BD^2 </span>
<span>AB^2 + 12^2 = 13^2 </span>
<span>AB^2 + 144 = 169 </span>
<span>AB^2 = 25 </span>
<span>AB = 5 </span>
<span>So the area of trapezoid ABCD is (12+8)*5/2 = 50 [cm^2] .</span>
You might be interested in
Will reward brainliest!
Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is 17+3 x^{2}=6 x

Subtracting 6x from both sides, we have,

3x^{2} -6x+17=0

Solving the equation using quadratic formula,

x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}

Simplifying the expression, we get,

\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}

Taking out the common terms and simplifying, we have,

\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}

Dividing by 3, we get,

x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}

Hence, the equation has two irrational solutions.

8 0
2 years ago
7. In 2015 a club has 250 members who each
Evgen [1.6K]

2015:

250 members

$95 annual subscription

2016

250 members + 4%

$95 annual subscription + 6%

Work:

250 x 1.04 = 260

95 x 1.06 =  100.7

260 x 100.7 = 26,182

Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7

3 0
3 years ago
Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

#SPJ1

5 0
1 year ago
Jenny and her friends are hungry for dessert. They buy $12.25 worth of cookies and ice cream sandwiches. The ice cream sandwiche
Phoenix [80]
If the number of ice cream sandwiches is x

And the number of cookies is y

Then

1.75x + 0.75y = 12.25

and

x + y = 11
y = 11 - x

1.75x + 0.75 (11 - x) = 12.25
1.75x + 8.25 - 0.75x = 12.25
x + 8.25 = 12.25
x = 12.25 - 8.25
x = 4

if x = 4

4 + y = 11
y = 11 - 4
y = 7

x = 4, y = 7
8 0
3 years ago
A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?
Irina18 [472]

Answer:

Density = 13.57 g/cm³

Step-by-step explanation:

▪Volume = 3 cm³

▪Mass = 40.7 grams.

▪Density (p) = Mass (m) ÷ Volume (v)

p = m ÷ v

p = 40.7 ÷ 3

p = 13.56666

p = 13.57 g/cm³

5 0
3 years ago
Other questions:
  • ryan takes a 30 centimeter by 72 centimeter sheet of paper and cuts from one corner of the paper to diagonally opposite corner.
    6·2 answers
  • The new number, 550, is 200 more than the original number. What is the approximate percent change?
    13·2 answers
  • The local meteorologist is converting temperatures from Celsius to Fahrenheit. She knows that the formula for the conversion fro
    10·1 answer
  • 108. The area of a rectangle is 40 square units. The length of the rectangle is 10. Write an equation that could be used to find
    11·1 answer
  • Find simple interest on #1200 for 3 years at 4.25% per anum​
    5·1 answer
  • Math please help im failing this class its algebra
    6·2 answers
  • Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find th
    12·1 answer
  • How do you write 8.1 x 104 in standard form?
    8·2 answers
  • You invest $4,000 in a bond that pay 3% annual interest compounded annually. How much money will you have in 20 years? Round to
    11·1 answer
  • 4/5=x/100 solve please
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!