Someone please help me out here.

Answer:

18 centimeters.

Step-by-step explanation:

Since you already know the length (height) divide 20 by 5 = 4.

This gives you the width (4), add up all the sides ( 4 + 4 + 5 + 5).

The sum comes out to be 18.

Answer:

2.8 miles

Step-by-step explanation:

From the attached sketch of the solution diagram, let x = distance of plane from runway :

The sketch gives a right angled triangle ; hence, we can apply trigonometry :

To obtain x :

Sin θ = opposite / hypotenus

Sin 5 = 1266 / x

0.0871557 * x = 1266

x = 1266 / 0.0871557

x = 14525.720 feets

Converting feets to mile :

1 mile = 5280 feets

14525.720 feets = 14525.720 / 5280

2.751 miles

To the nearest tenth of a mile ; 2.8 miles

Answer: 6

Step-by-step explanation: To find the side length of a square, you need to find the square root of the area because the side length squared is the area.

Answer:

1536 rats will be total after 10 months

Step-by-step explanation:

The number is multiplied by 2 each time, so we have to continue multiplying by 2

Month 5: 48 x 2 = 96

Month 6: 96 x 2 = 192

Month 7: 192 x 2 = 384

Month 8: 384 x 2 = 768

Month 9: 768 x 2 = 1536

Month 10: 1536

Answer:

A. 1

B. 7

C. 2

D. 10

,,,,,,,,,,

Answer:

...

Step-by-step explanation:

523.598 round it if u want

Answer:

$52

Step-by-step explanation:

Given data

Beth can buy T-shirts in packs of 5 for $5.55

Cost per shirt

=5.55/5

=$1.11

To buy 40 shirt

=1.11*40

=$44.4

In packs of 2 for $4.82

cost per shirt

=4.82/2

=$2.41

To buy 40 shirt

=2.41*40

=$96.4

Hence the best buy in packs of 5 for $5.55

and the cost per shirt is $1.11

He will save

=96.4-44.4

=$52

Answer:

5.600

Step-by-step explanation:

Answer:

one square, four triangles

Step-by-step explanation:

It's a pyramid, so there's only 1 base.

A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.

Answer: Hm 1 second

Step-by-step explanation: 1 sec

Answer:

here

Step-by-step explanation:

ratio:

1x, 3x, 5x=180

9x=180

x=180/9

x=20

forgot to mention 1x=cement

3x=sand and 5x=gravel.

I only know first part of the question.

Answer:

Let the ratio be x,3x,5x

then,

or,x+3x+5x=180kg

or,9x=180

or,x=180/9

or,x=20kg

now,3x=3*20

=60kg

5x=5*20

=100 kg

therefore he doesn't have enough cement and sand but he has enough gravel.

Answer:

hope it helps.

(a)

rs x st = tu  2

(b)

yes it is possible the formula is in part a, but we're given just the side rt and st, not rs, but not to worry we can get rs with subtraction. we can do 9-4=5 for rs. now we can plug in our values to find tu

5x4 = tu  2

simplify with algebra  

20 = tu

FINAL ANSWER

Answer:

h

Step-by-step explanation:

multiplication and inference

Answer:

k = 59.8

Step-by-step explanation:

Given

k - 7.8 = 52 ( isolate k by adding 7.8 to both sides )

k = 59.8

Answer: Choice C) 17 degrees

=============================================================

Work Shown:

Apply the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

12^2 = 28^2 + 18^2 - 2*28*18*cos(C)

144 = 1108 - 1008cos(C)

144+1008cos(C) = 1108

1008cos(C) = 1108-144

1008cos(C) = 964

cos(C) = 964/1008

C = arccos(964/1008)

C = 16.991286936969 which is approximate

C = 17 degrees

Note: arccos is the same as inverse cosine.

The value of the expression is 86.

To evaluate the given expression, we need to simply put the given value of x in the mentioned expression. Subsequently, further operations will be performed based on the sequence in order of operators.

Value = 150 - (2 + x)³

Keep the value of x in the mentioned expression

Value = 150 - (2 + 2)³

Performing addition inside the bracket to find the value

Value = 150 - 4³

Taking cube on Right Hand Side of the equation

Value = 150 - 64

Performing subtraction to find the value of equation

Value = 86

Hence, the evaluation will give the result 86.

Learn more about evaluation of expression -

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Answer:  (x, y) = (-26, 10)

This means x = -26 and y = 10 pair up together

===============================================================

How to get that answer:

Add the equations straight down. Think of having 3 separate columns for the three different like terms.

After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.

Plug this back into any equation involving x and y. Solve for x

3x+9y = 12

3x+9(10) = 12

3x+90 = 12

3x = 12-90

3x = -78

x = -78/3

x = -26

We have found that x = -26 and y = 10 pair up together to form the solution.

-------------------

Checking the answer:

Plug (x,y) = (-26, 10) into the first equation

3x+9y = 12

3(-26)+9(10) = 12

-78+90 = 12

12 = 12

We get a true equation since the same thing is on both sides.

Repeat the same idea for the second equation

-3x-6y = 18

-3(-26) - 6(10) = 18

78 - 60 = 18

18 = 18

The second equation is true as well.

Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.

Answer:

-26, 10

Step-by-step explanation:

See the steps below:)

Answer:

x = 13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = x^2

25+144 = x^2

169 = x^2

Taking the square root of each side

sqrt(169) = sqrt(x^2)

13 =x

Answer:

13

Step-by-step explanation:

[tex] \sqrt{5^{2} + 12^{2}} = \sqrt{169} \\ \\ \sqrt{169} = 13[/tex]

a²+b²=c²

Answer:

6

hope it is helpful to you

The Answer Is x=12.5

This is a proportional equation.

[tex] \frac{16}{10} = \frac{20}{x} [/tex]

x=12.5

Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.

Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.

The width of the rectangle is 10.2 inches.

The perimeter of the recatngle is 71.4 inches.

The area of the rectangle is 260.1 square inches.

The perimeter of rectangle is given by;

[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]

The sides of a rectangle are in the ratio 2:5.

If the longer side of the rectangle is 25.5.

The shortest side of the rectangle is;

[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]

The width of the rectangle is;

[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]

The width of the rectangle is 10.2 inches.

The perimeter of the recatngle is;

[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]

The perimeter of the recatngle is 71.4 inches.

The area of the rectangle is;

[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]

The area of the rectangle is 260.1 square inches.

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Let's split this up into two shapes: a half-circle and a triangle.

First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.

A = 1/2 * 3.14 * 8^2

A = 1/2 * 3.14 * 64

A = 3.14 * 32

A = 100.48 m^2

Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.

A = 1/2 * 12 * 8

A = 6 * 8

A = 48 m^2

Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.

100.48 + 48

148.48 m^2

Hope this helps!! :)

Step-by-step explanation:

area of the triangle

[tex] \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48[/tex]

area of the half circle

[tex] \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48[/tex]

area of entire shape

[tex]48 + 100.48 \\ 148.48 {m}^{2} [/tex]

Answer:

12.8 square meters

Step-by-step explanation:

244.48/19.1=12.8

Answer:

subtract

a) 13/20

b) 1/2

c) 5/24

d) 7/18

e) 7/20

f) 3/40

Add or subtract

a) 4/9

b) 1/2

c) 11/20

d) 1/4

e) 19/12 or 1 [tex]\frac{7}{12}[/tex]

f) 4/21

9.

A- 13/20

B- 1/2

C- 5/24

D- 7/18

E- 7/20

F-3/40

10-

A-4/9

B-1/2

C-11/20

D-1/4

E-19/12

F- 4/21

Answer:

dα/dt  =  - 0,25  rad/sec

Step-by-step explanation:

The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α  will be the angle between the ladder and the ground, then:

cos α  = distance between the wall and the down end of the ladder (x)  /  length of the ladder

cos α   =  x/ L

- sin α * dα/dt   =  dx/dt * L /L²

- sin α * dα/dt   =  dx/dt /L

When   the down end of the ladder is 8 ft apart from the wall

cos  α   =  8 / 10   =  0,8  then    cos² α  +  sin²α  = 1

sin² α  =  1 - cos²α        sin²α =  1 - (0.8)²    sin²α  = 0.36

sin α  = 0.6

dα/dt  =  ?

dx/ dt  =  3/2

L  = 10 ft

x  =  8 ft

By substitution

- 0.6*dα / dt   = (3/2) / 10

dα/dt  =  -  1.5 / 6

dα/dt  =  - 0,25  rad/sec

(-) means the angle is decreasing