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4 years ago

Could I get some help in here

Mathematics

1 answer:

IgorC [24]4 years ago

3 0

Answer:

98 ft²

Step-by-step explanation:

There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...

A = (1/2)(14 ft)(14 ft) = 98 ft²

Of course the area of the square from which it is cut is ...

A = (14 ft)² = 196 ft²

So, the net area of the two triangles shown is ...

A = (196 ft²) - (98 ft²) = 98 ft²

_____

Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...

A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)

We can factor out 7 ft to get ...

A = (7 ft)(x ft + (14 -x) ft)

A = (7 ft)(14 ft) = 98 ft²

You might be interested in

Find the ratio of a 1 1/2 diameter to a 4 9/10

GenaCL600 [577]

Answer:

3.26(UNIT) : 1(UNIT)

Step-by-step explanation:

Put (UNIT) if there is a unit involved!!!

8 0

3 years ago

Anyone know how to do #14 and #15?????

IceJOKER [234]

Answer:

He Melanie , use SOH CAH TOA to remember the trig functions

Step-by-step explanation:

for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.

Use one of the trig functions with H in it b/c you know Hyp is 22, so,

SOH = Sin(Θ)= Opp / Hyp

Sin(45) = Opp / 22

Sin(45) * 22 = Opp

$\sqrt{2}$ / 2 * 22 = opp

11* $\sqrt{2}$ = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y

for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°

Sin(30) = Opp / 24

Sin(30) *24 = Opp

12 = Opp ( Because I know Sin(30) = 1/2 )

Opp is the upright between the two triangles

Use CAH Cos(Θ) = Adj / Hyp

Cos(30) = Adj / 24

Cos(30) * 24 = Adj

$\sqrt{3}$ /2 *24 =Adj

12 $\sqrt{3}$ = Adj

Z = 12 $\sqrt{3}$ or if you want some decimals 20.7846

Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths

then

Y = 12

You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp

Hyp = $\sqrt{12^{2} +12^{2} }$

Hyp = $\sqrt{288}$

hyp = 16.97

X = 16.97

8 0

3 years ago

The sales tax in your city is 4.4%, and an item cost $3 before tax

adoni [48]

Answer:

after tax is added the price would be 3.13$

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...

Kaylis [27]

Hi there!

x=8

1.Subtract the answer with the 3 / subtract the terms:

$2995-3=2992$

2.Divide the two terms:

$2992*374=x$

Therefore, x=8

3 0

3 years ago

Some friends plotted the locations of their house on a map. brianna's house is at (1,6), Jordan's house is at (5,3). What is one

Rufina [12.5K]

Let
A (1,6)------> location brianna's house on a map
B (5,3)------> location Jordan's house on a map

we know that
One possible path from brianna's house to jordan's house it's a straight line ( the shortest distance)

using a graph tool
see the attached figure

find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units

the distance from brianna's house to jordan's house is 25 units

4 0

3 years ago

Could I get some help in here​

Could I get some help in here