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3 years ago

Please helppppppp

Mathematics

2 answers:

Gala2k [10]3 years ago

7 0

Answer:

24.9 meters to the nearest tenth.

Step-by-step explanation:

We have 2 similar triangles here so:

21/8 = h/9.5

h = 21* 9.5 / 8

= 24.94 m = the height of the tank.

givi [52]3 years ago

6 0

Answer:

$\boxed{24.9375}$

Step-by-step explanation:

→ Write out the direct proportion equation

y = kx

→ Substitute in x = 21 and y = 8

8 = 21k

→ Divide both sides by 8 to isolate k

k = 2.625

→ Substitute back into original equation

y = 2.625k

→ Substitute 9.5 for k

y = 2.625 × 9.5 ⇔ 24.9375

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What does this mean 7 4 8 9 12 45

ohaa [14]

Answer:

The mean is 14.167

Step-by-step explanation:

In order to find the mean, you must add all of the numbers together and then divide by the number of inputs.

(7 + 4 + 8 + 9 + 12 + 45)/6

85/6

14.167

8 0

3 years ago

Please help question in picture please

VikaD [51]

Answer:

Step-by-step explanation:

2(-3)+5=-6+5=-1

2(-1)+5=-2+5=3

2(0)+5=0+5=5

2(2)+5=4+5=9

2(4)+5=8+5=13

7 0

3 years ago

The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th

ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21°

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143°

Therefore the direction of 2x + y is

21°

5 0

3 years ago

PLEASE GUYS HELP ITS DUE TONIGHT

KATRIN_1 [288]

Answer:

20. AB = 42

21. BC = 28

22. AC = 70

23. BC = 20.4

24. FH = 48

25. DE = 10, EF = 10, DF = 20

Step-by-step explanation:

✍️Given:

AB = 2x + 7

BC = 28

AC = 4x,

20. Assuming B is between A and C, thus:

AB + BC = AC (Segment Addition Postulate)

2x + 7 + 28 = 4x (substitution)

Collect like terms

2x + 35 = 4x

35 = 4x - 2x

35 = 2x

Divide both side by 2

17.5 = x

AB = 2x + 7

Plug in the value of x

AB = 2(17.5) + 7 = 42

21. BC = 28 (given)

22. AC = 4x

Plug in the value of x

AC = 4(17.5) = 70

✍️Given:

AC = 35 and AB = 14.6.

Assuming B is between A and C, thus:

23. AB + BC = AC (Segment Addition Postulate)

14.6 + BC = 35 (Substitution)

Subtract 14.6 from each side

BC = 35 - 14.6

BC = 20.4

24. FH = 7x + 6

FG = 4x

GH = 24

FG + GH = FH (Segment Addition Postulate)

$4x + 24 = 7x + 6$ (substitution)

Collect like terms

$4x - 7x = -24 + 6$

$-3x = - 18$

Divide both sides by -3

$x = 6$

FH = 7x + 6

Plug in the value of x

FH = 7(6) + 6 = 48

25. DE = 5x, EF = 3x + 4

Given that E bisects DF, therefore,

DE = EF

5x = 3x + 4 (substitution)

Subtract 3x from each side

5x - 3x = 4

2x = 4

Divide both sides by 2

x = 2

DE = 5x

Plug in the value of x

DE = 5(2) = 10

EF = 3x + 4

Plug in the value of x

EF = 3(2) + 4 = 10

DF = DE + EF

DE = 10 + 10 (substitution)

DE = 20

4 0

3 years ago

Mario opens a store credit card when he purchases new carpeting. The interest rate is 20.45%. He charges $3,240 to the card, and

andrey2020 [161]

2 X $1150 + $1049.34 = $3,349.34

Total cost= $3,349.34

6 0

3 years ago