a trapezoids longer base is 4 times its shorter base. If the trapezoid has an area of 80 cm squared and a height of 8cm has what is the length of each base ​

Answers

Answer 1
Answer: Long One is 16
Short One is 4!!

A=base+base/2 * height

A=80

16+4/2 = 10

10 * 8 = 80!!

Related Questions

A mountain bike costs $675. If the sales tax is 8%, find the total cost of the bike. Round to the nearest cent, ifnecessary
Let n = 5.What is the value of the expression 9n2−2−n? Enter your answer in the box.
MZTRI = 3x - 5, mZIRB = x + 27,and mZTRB = 86. Find the mZTRI.
What is the value of x? *4x + 32172°Your answer
What is an equation of the line that is parallel to y=3x-8 and passes through the point (4, -5)

What’s the answer to this ?

Answers

Answer:

59.44 units²

Step-by-step explanation:

The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...

... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²

Then 5 such sections will have an area of ...

... pentagon area = 5·11.8882 units² = 59.4410 units²

_____

Comment on central angle

The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.

Comment on area formula

It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...

... A = (1/2)ab·sin(β)

Use the binomial theorem to expand the expression :(3x + y)^5 and simplify.
(b) find the middle term in the expansion of
(1/x+√x)^4 and simplify your unswer.
(c) determine the coefficient of x^11 in the expansion of (x^2 +1/x)^10, simplify your answer.

Answers

Answer:

a) (3x+y)^5=243x^5+405x^4y+270x^3y^2+90x^2y^3+15xy^4+y^5.

b) The middle term in the expansion is (6)/(x).

c) The coefficient of x^(11) is 120.

Step-by-step explanation:

Remember that the binomial theorem say that (x+y)^n=\sum_(k=0)^(n) \binom{n}{k}x^(n-k)y^(k)

a) (3x+y)^5=\sum_(k=0)^5\binom{5}{k}3^(n-k)x^(n-k)y^k

Expanding we have that

\binom{5}{0}3^5x^5+\binom{5}{1}3^4x^4y+\binom{5}{2}3^3x^3y^2+\binom{5}{3}3^2x^2y^3+\binom{5}{4}3xy^4+\binom{5}{5}y^5

symplifying,

(3x+y)^5=243x^5+405x^4y+270x^3y^2+90x^2y^3+15xy^4+y^5.

b) The middle term in the expansion of ((1)/(x) +√(x))^4=\sum_(k=0)^(4)\binom{4}{k}(1)/(x^(4-k))x^{(k)/(2)} correspond to k=2. Then \binom{4}{2}(1)/(x^2)x^{(2)/(2)}=(6)/(x).

c) (x^2+(1)/(x))^(10)=\sum_(k=0)^(10)\binom{10}{k}x^(2(10-k))(1)/(x^k)=\sum_(k=0)^(10)\binom{10}{k}x^(20-2k)(1)/(x^k)=\sum_(k=0)^(10)\binom{10}{k}x^(20-3k)

Since we need that 11=20-3k, then k=3.

Then the coefficient of x^(11) is \binom{10}{3}=120

What is 1 3/4 hours in minutes?

Answers

Answer: 105

Step-by-step explanation:

Daniel's mom deposits $80 into his savings account for the year. Daniel decides to upgrade his game account which costs $7 per month. How many months will Daniel be able to pay for his game account if his mom doesn't deposit any more money into his savings account?

Answers

Answer:

11.43

Step-by-step explanation:

80÷7= 11.428571428571428571428571428571

i hope this helps

Choose the two rectangular prisms that have a volume of 36 cm”.= 1 cm3
A.
D.
B.
E.
C.

Answers

Answer:

B & D

Step-by-step explanation:

Volume is calculated as:

Volume = Length * Width * Height

For (a):

Length = 3cm

Width = 4cm

Height = 5cm

Volume = 3cm * 4cm * 5cm

Volume = 60cm^3

For (b):

Length = 3cm

Width = 4cm

Height = 3cm

Volume = 3cm * 4cm * 3cm

Volume = 36cm^3

For (c):

Length = 4cm

Width = 2cm

Height = 2cm

Volume = 4cm * 2cm * 2cm

Volume = 16cm^3

For (d):

Length = 2cm

Width = 3cm

Height = 6cm

Volume = 2cm * 3cm * 6cm

Volume = 36cm^3

There's no need to check for (e)

Option b and d answers the question

Using the volumeof a rectangularprismto examine the volumesof the prism,the two prisms with a volumeof 36cm³are Band D

Recall:

  • Volumeofarectanglularprism=Length×width×Height

PrismA:

  • Length=3cm;Height=5cm;Width=4cm

Volume = 3cm × 5cm × 4cm = 60cm³

Prism B :

  • Length = 3cm ; Height = 3cm ; Width = 4cm

Volume = 3cm × 3cm × 4cm = 36 cm³

Prism C :

  • Length = 4cm ; Height = 3cm ; Width = 2cm

Volume = 4cm × 3cm × 2cm = 24 cm³

Prism D :

  • Length = 2cm ; Height = 6cm ; Width = 3cm

Volume = 2cm × 6cm × 3cm = 36 cm³

Prism E :

  • Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 4cm × 2cm × 2cm = 16 cm³

Hence, the two rectangularprismswith a volumeof 36cm³are Band D.

Learn more : brainly.com/question/25608731

Determine the length of UT.

Answers

I think the answer would be 20
Other Questions