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3 years ago

Use the diagram below to determine the height of the flagpole

Mathematics

1 answer:

Yanka [14]3 years ago

6 0

Answer:

the flagpole is 12 ft

Step-by-step explanation:

2.5 ft / 4 ft = 7.5 ft / x ft

2.5x = 30

2.5x/2.5 = 30/2.5

x = 12 ft

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6y+x=8 I need help with this problem

gavmur [86]

Alright so you need to put this equation in slope-intercept form. So you flip the x across the = sign and switch the sign to get 6y=-x+8.
Then you need y by itself so you divide everything by 6. Which gets you y=-1/6x+8/6.
Now simplify
y=-1/6x+4/3 or y=-1/6x+.75
(4/3 =.75)

4 0

3 years ago

Stuffed animals each weighing 1/4 pound are on a scale. The scale shows 1 1/2 pounds. How many stuffed animals are on the scale?

Nady [450]

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3 years ago

A half-circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape?

krek1111 [17]

Answer:

P = 42.84 cm

Step-by-step explanation:

A half-circle is joined to an equilateral triangle with side lengths of 12 units.

We need to find the perimeter of the resulting shape.

The perimeter of the half cirle is πr.

The diameter of the circle is 12. It means radius is 6 units.

An equilateral triangle has 3 equal sides. So, perimeter of the triangle is given by :

P = πr + 12 +12

= 3.14(6) + 24

= 42.84 cm

Hence, the perimeter of the resulting shape is 42.84 cm.

8 0

3 years ago

Will give brain thingy lol I’m too lazy to use my brain and figure this out anyways.

Sav [38]

Answer: C. 1/8

Step-by-step explanation:

2/16 were pepperoni at pizza hut the first time,

then simplifying 2/16 = 1/8 = 1/8 chance.

6 0

3 years ago

A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago