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2 years ago

If the perimeter of this triangle is 15 centimeters, what is the value of n? Express your answer as a decimal number.

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

6 0

2.5, put in in an equation of n+5n-6+2n+1=15 and then simplify from there giving you 2.5

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A round cake has a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. Angela places the cake on a circular cake

VLD [36.1K]

Answer:

The circumference of the cake board is 35π cm.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.

Now, to find the circumference of the cake board.

As, given diameter of cake = 30 cm.

And diameter of cake board is 5 cm longer than that of the cake.

Thus, the diameter of cake board is:

$30\ cm+5\ cm=35\ cm.$

So, to find the circumference we need radius, by putting formula:

$Radius(r)=\frac{Diameter}{2}$

$Radius(r)=\frac{35}{2}$

$Radius(r)=17.5\ cm.$

Now, to get the circumference of the cake board we put formula:

$Circumference=2\pi r.$

$Circumference=2\times \pi \times 17.5$

$Circumference=35\pi \ cm.$

Therefore, the circumference of the cake board is 35π cm.

4 0

3 years ago

Find the product (4x-5y)^2

sleet_krkn [62]

To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)

Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)

FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = 16x^2

Now, lets to the 'Outers':
4x * -5y = -20xy

Next, we can multiply the 'Inners':
-5y * 4x = -20xy

Finally, let's do the 'Lasts':
-5y * -5y = 25y^2

Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.

The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2

Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.

4 0

3 years ago

(16x-1) (20x+10) What is X?

KatRina [158]

Answer:

320x^2+140x-10

Step-by-step explanation:

(16x-1)(20x+10)

320x^2+160x-20x-10

320x^2+140x-10

8 0

3 years ago

Jan left her home and drove for 5.2 hours due north at a rate of 60 miles per hour. After visiting a friend, she drove due south

Andreyy89

Answer:

180 miles

Step-by-step explanation:

Going North

Formula

d = r * t

Givens

r = 60 mph

t = 5.2 hours

d = ?

Solution

d = 5.2 * 60 = 312 miles north

Going South

Givens

r = 55 mph

t = 2.4 hours

Solution

d = r * t

d = 55 * 2.4

d = 132

Distance from home

Formula: Distance from home = Distance North - Distance South

Distance North = 312 - 132 = 180 miles

4 0

3 years ago

Read 2 more answers

Why does the Easter bunny carry eggs? Rabbits don't lay eggs.

Sonja [21]

Answer:

He is hungry.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers