Which expression represents a number, y, decreased by 8?

Help! answer options included

lawyer [7]

Answer:

Y = [-6 6 6 -6]

Step-by-step explanation:

From the given matrices

If X - 2Y = Z

b - 2c = a ... 1

a -2d = c ...2

4+2a = 16.... 3

a + 2b = b .... 4

From3 ;

2a = 16-4

2a = 12

a = 6

From 4;

a + 2b - b = 0

a+b = 0

a = -b

6 = -b

b = -6

From1;

b - 2c = a

-6 - 2c = 6

-2c = 12

c = -6

also

a - 2d = c

6-2d = -6

-2d = -6-6

-2d = -12

d = 6

Hence the matrices Y = [-6 6 6 -6]

4 0

3 years ago

Find the LCM of the following. A. 28,42,35 B. 48,72,96 C. 36, 44

Ne4ueva [31]

28/2= 14 42/2= 21 35/7= 5

14/ 2= 7 21/3= 7

28= 2^2 × 7

42= 2 × 3 × 7

35= 7 × 5

LCM= 420

48/2= 24. 72/2= 36. 96/3= 32

24/2= 12. 36/3= 12. 32/2= 16

12/3= 4. 12/3= 4. 16/2= 8

4/2= 2. 4/2= 2. 8/2= 4

4/2= 2

48= 2^4 × 3

72= 2^3 × 3^2

96= 2^5 × 3

LCM= 288

36/3= 12. 44/2= 22

12/3= 4. 22/2= 11

4/2= 2

36= 3^2 × 2^2

44= 2^2 × 11

LCM= 396

8 0

2 years ago

Read 2 more answers

Solve the inequality 42 < -6d

sergiy2304 [10]

-6d > 42
d < 42 / (-6)
d < -7

8 0

3 years ago

Anyone know how to solve this?

Elina [12.6K]

35% of 80 is 28.

80 x 0.35 = 28

I hope this helps.

6 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

a

d

j

where the

o

p

is the height and the

a

d

j

is the

500

f

t

o

p

(

b

u

i

l

d

)

=

tan

(

38

)

⋅

(

500

f

t

)

=

390.6

f

t

=

height of building

o

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