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True [87]
3 years ago
6

Area of a triangle is given by the formula A=1/2 bh. The area of the triangle shown to the right is 56 sq. units. Find its base

and height
Read the problem carefully. To find the base and​ height, first identify the base and the height from the given figure.

For the given​ triangle, the base is ____ and the height is____
Mathematics
1 answer:
Westkost [7]3 years ago
8 0
Given

base=2x+6
height=x+4

and
area=56 square units

56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0

x-4=0
x=4

x+11=0
x=-11
false, measures can't be negative

x=4


height=x+4
height=4+4=8


base=2x+6
base=2(4)+6=8+6=14



x=4 and base=14 and height=8

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Enter a fraction that is equivalent to 1/5 with a numerator of 8.
photoshop1234 [79]

Answer:

lol imagine

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Mark bought three pairs of shorts and one pair of shoes. If the shoes cost $25 and he spent
Aleonysh [2.5K]

Answer:

17.95 :)

Step-by-step explanation:

25-78.85= 53.85, and 53.85/3= 17.95 so each pair of shorts costed 17.95

8 0
3 years ago
From a point 100 m from a building the angles of elevation of the top and bottom of a flagpole atop a building are 54.5 degrees
AnnZ [28]

Answer:60ft

Step-by-step explanation:The height of the flagpole is approximately  

60

feet.

Explanation:

Always try to draw a diagram.

enter image source here

We know that there is a right angle between the ground and the building. Therefore, we can use the 3 basic trig ratios instead of the sine or cosine law to solve this problem.

Since the angle in the corner of the larger right triangle measures  

42

˚

, the top angle in this triangle measures  

180

˚

−

90

˚

−

42

˚

=

48

˚

.

By basic trig ratios, we can find the height of the building with the flag pole on top, call it  

H

.

tan

42

˚

1

=

H

500

H

=

500

tan

42

˚

I would keep it in exact form until the last step.

We now devise an expression for the height of the building (without the flag pole). Call it  

a

tan

38

˚

1

=

a

500

a

=

500

tan

38

˚

We can now state that

h

=

H

−

a

h

=

500

tan

42

˚

−

500

tan

38

˚

h

≈

59.559

≈

60

feet

Hopefully this helps!

Answer link

EET-AP

Apr 10, 2017

The flagpole is  

60

f

t

in height to the nearest foot.

Explanation:

1) The flagpole is on top of a building.

2)Angles of elevation both measured from point  

500

f

t

from building

3) Angle of elevation to the top of building is  

38

d

e

g

4) Angle of elevation to the top of flagpole is  

42

d

e

g

The information above will provide us with two right angle triangles, one smaller one inside a larger one.

Both will have a base of  

500

f

t

.

The smaller triangle will have a base angle  

β

of  

38

deg opposite the  

90

deg, and the larger triangle will have a base angle  

β

of  

42

deg.

From this information we can find the heights of the building and the building + pole using the definition of the tangent of the two base angles  

β

:

tan

(

β

)

=

o

p

p

a

d

j

where the  

o

p

p

is the height and the  

a

d

j

is the  

500

f

t

o

p

p

(

b

u

i

l

d

)

=

tan

(

38

)

⋅

(

500

f

t

)

=

390.6

f

t

=

height of building

o

p

p

(

f

l

a

g

)

=

tan

(

42

)

⋅

(

500

f

t

)

=

450.2

f

t

=

height of building + pole

Then to the nearest foot the height of the flagpole is:

450.2

f

t

−

390.6

f

t

=

60

f

t

4 0
3 years ago
A chocolate bar measures 30 mm wide, 70 mm long, and (or 4.5) mm high. Will's Wrapping Company is making a wrapper to cover the
KiRa [710]

Hey there! I'm happy to help!

First, let's find the area of the top of the bar.

30×70=2100

This is the same as the bottom of the bar, so we have another 2100 mm, giving us 4200 in total.

Now we want to find the two long sides. This is 70×4.5, which is 315. Since there are two of these sides, we have another 315, giving us 630 in total there.

Now we have the short sides.

30×4.5=135

135×2=270

Now, we add up all of these measurements.

4200+630+270=5100

Therefore, Will's Wrapping Company will need 5100 mm² of paper to make their wrapper.

Have a wonderful day! :D

8 0
3 years ago
For every 30 minutes of tv airtime,there are 8 minute commercials.If 90 minutes of tv airtime are aired,how many minutes of comm
Alex777 [14]

Answer:

For 90 minutes of TV there will be 24 mins of commercials


Step-by-step explanation:

You start with 30 and keep adding 30 mins each time until you get to 90. (So..30..60..90) each time you add 30mins you add 8 more minutes to the commercials)

30 mins tv----8mins commercials

60 mins tv----16mins commercials

90 mins tv----24mins commercials


Hope this helps, good luck!


8 0
3 years ago
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