Describe a congruence transformation that maps ABC to DEF

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:

$\$ 10, 000 is the answer I think so

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

Answer:

12.8 square meters

Step-by-step explanation:

244.48/19.1=12.8

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:

25.7 in

Step-by-step explanation:

perimeter = 1/2(2)πr + 10 = 15.7 + 10 = 25.7 in

Answer:

5.600

Step-by-step explanation:

Step-by-step explanation:

hope this helped you :)) !!

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

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:

104,758

Step-by-step explanation:

Answer:

Solution given:

x+x+10°+40°+2x+10=360[complete turn]

4x+60°=360

4x=360-60

x=300/4=75

now

2x+10=2×75+10=160° is your answer

Answer:

21.1cm

Step-by-step explanation:

Hello :)

The volume of a sphere can be found by this equation:

[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.

Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]32398=\frac{4}{3} \pi r^3[/tex]

Now, let's isolate the r variable by dividing 4/3 and pi to the other side.

[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]

We can get rid of the exponent by square rooting by 3.

[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]

If we plug this into the calculator, the r=21.1

Which means the radius of the sphere is 21.1 cm.

Answer:

21.1 CM

[tex] \: \: \: \: \: \: \: [/tex]

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: 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.

Learn more about rectangle here;

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Answer: the other silds are the same

Step-by-step explanation:

finding tenth is not necessary so

Step-by-step explanation:

solution,

given length = 3 m

breath = 10 m

and

height=6 m

Volume=l×b×h

3×10×6

180

so the volume is 180m

hope it helps you have a good day

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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: Hm 1 second

Step-by-step explanation: 1 sec

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:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

Answer:

x = 33

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x

x = 180 - (90 + 57) = 180 - 147 = 33

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:

h

Step-by-step explanation:

multiplication and inference

Answer:

10

Step-by-step explanation:

Rolling a single six-sided die, you would get two 1/6th of the time because there is one two out of the six sides.

So 60 rolls would be 60*(1/6)=60/6=10

Answer:

Kindly check explanation

Step-by-step explanation:

Using the integer tiles :

Drawing 2 tiles each time an eagle is obtained, this gives:

-2 + - 2 + - 2 + - 2 + - 2 = - 10

Using the number line,

Each unit on the number line = - 2

Any time an eagle scored ; take a unit step to the left.

This give ls a unit step 5 times

-2 + - 2 + - 2 + - 2 + - 2 = - 10

Using direct multiplication :

-2 * 5 = - 10 as it means - 2 in 5 places ; similarly, scoring - 2 five times will give - 10

Also note :

Either - 2 * 5 or - 5 * 2 is the same due to commutativity property of multiplication

Answer:

23x+1........ .... .........