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Nana76 [90]
3 years ago
7

Solve A= 1/2bh for b. Then find the base of a triangle with a height of 6 inches and an area of 24 square inches.

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

The breadth of the triangle is 8 inches.

Step-by-step explanation:

Given that the area of the triangle is 24 sq inches and that the height is 6 inches

1/2 * b * 6 =24

b * 3= 24

b=8 inches

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Felix's parents opened a savings
Crazy boy [7]

The money in the Felix's account will be $6798 when he is 21.

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

It is given that,

  • The amount deposited is $2000.
  • The account earns 6%  compound interest.
  • It is compounded  annually for 21 years.

<u>To find the money in Felix's account after 21 years :</u>

The formula used here is,

⇒ A = P(1+r/n)^{nt}

where A is the amount after 21 years.

  • P is the initial amount deposited ⇒ P = 2000
  • r is the rate ⇒ r = 0.06
  • n is the number of times interest is compounded per year⇒ n = 1
  • t is the time period ⇒ t = 21

⇒ 2000(1+0.06/1)^{21\times 1}

⇒ 2000(1.06)^{21}

⇒ 2000\times3.399

⇒ 6798

Therefore, The money in the Felix's account will be $6798 when he is 21.

4 0
3 years ago
Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where
lord [1]

Using proportions, it is found that Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the section with the highest proportion of perfect views should be chosen, hence:

pL1 = 57/90 = 0.633

pL2 = 33/52 = 0.635

pL3 = 47/75 = 0.623

PU1 = 55/84 = 0.655

pU2 = 27/43 = 0.628

pU3 = 22/35 = 0.629

Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
1 year ago
Read 2 more answers
Consider the sequence 10, 2..
romanna [79]

Answer:  see below

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

1) 10, 2, 1.2, 1.12, 1.112, 1.1112

t_n=\dfrac{t_{n-1}}{10}+1

t₁ = 10

t₂ = 10/10 + 1    = 2

t₃ = 2/10 + 1     = 1.2

t₄ = 1.2/10 + 1   = 1.12

t₅ = 1.12/10 + 1  = 1.112

t₆ = 1.112/10 + 1 = 1.1112

2)  10, 2, -2, -4, -5, -5.5, ...

t_n=\dfrac{t_{n-1}}{2}-3

t₁ = 10

t₂ = 10/2 - 3 =   2

t₃ = 2/2 - 3  =  -2

t₄ = -2/2 - 3 =  -4

t₅ = -4/2 - 3 =  -5

t₆ = -5/2 - 3 = -5.5

8 0
3 years ago
The picture shows a barn door:
Hitman42 [59]

Answer:

(D)9 divided by sin 60 degrees

Step-by-step explanation:

From the given figure, using trigonometry

\frac{BC}{AB}=sin60^{{\circ}}

Substituting the given values, we get

\frac{9}{AB}=sin60^{{\circ}}

\frac{9}{sin60^{\circ}}=AB

AB=\frac{9{\times}2}{\sqrt{3}}

AB=\frac{18}{\sqrt{3}}

AB=10.4 feet

Thus, The length of the support AB is 9 divided by sin 60 degrees.

5 0
3 years ago
Read 2 more answers
BRAINLIESSTTTT!!!!
andrew11 [14]

7.211; Starting from the left to right, x1=3 x2=7, y1=2 y2=8. Plug these in to the distance formula \sqrt{(x2-x1)^2+(y2-y1)^2

(7-3)^2+(8-2)^2

(4)^2+(6)^2

16+36

sqrt 52

7.211

7 0
3 years ago
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