Line t is tangent to the circle. Find the measure of arc DEF.

Answer:

  6 feet

Step-by-step explanation:

Corresponding vertices of the congruent triangles are listed in the same order in the congruence statement. Given that ΔABC ≅ ΔDEF, that means vertices A and B correspond to vertices D and E.

Segment DE will have the same length as segment AB, 6 feet.

Answer:

6

Step-by-step explanation:

When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.

The volume of the wall is determined as follows;

V = h x w x t

where;

Initial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.

V1 = (6 - 2) x (6 - 2) x (t)

V1 = 16t  ft³

Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.

V2 = (12 - 4) x (12 - 4) x (t)

V2 = 64t  ft³

V2 = 4(16t  ft³)

V2 = 4(V1)

Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.

Learn more about volume of cuboid here: https://brainly.com/question/22694657

Answer:  the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

[tex]\text{Given that,}~ f(x) =2x-3\\\\\dfrac{f(a+h) - f(a)}{h}\\\\=\dfrac{(2(a+h)-3)-(2a-3)}{h}\\\\=\dfrac{2a+2h-3-2a+3}h}\\\\=\dfrac{2h}{h}\\\\=2[/tex]

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³.

The volume is the space occupied by an object. The volume of the compound shape equals the sum of the individual volumes, that is, of each part, which are represented by two hemispheres and a right cylinder.

Now we proceed to determine the volume of the compound shape (V), in cubic inches, by apply the following calculation:

V = (4/3) · π · (3 in)³ + π · (3 in)² · (10 in)

V = 66π in³

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

Answer:

Step-by-step explanation:

#1. 5 and 51/2 since it has the greatest amount of dots  and  #2. 5.5, 6.0, and 8.0 since it has the least amount of dots

Answer:

1. 5 and 5 1/2

2. 5.5, 6.0 and 8.0

Step-by-step explanation:

1. Both shoe sizes had the most number of dots.

2. All three pearl sizes have the least number of dots.

Answer:

C

Step-by-step explanation:

The denominator is the same and the expression can be rewritten as 2n⁴ + 6 - 7 in the numerator, which simplifies to 2n⁴ - 1 over n⁴ + 3.

Algebraically:

[tex]\frac{2n^4+6}{n^4+3} -\frac{7}{n^4+3}[/tex]

[tex]\frac{2n^4+6-7}{n^4+3}[/tex]

[tex]\frac{2n^4-1}{n^4+3}[/tex]

I hope this helps!

Answer:

  113.1 m³

Step-by-step explanation:

In terms of diameter, the volume of a sphere is given by the formula ...

  V = (π/6)d³

For a diameter of 6 m, the volume is ...

  V = (π/6)(6 m)³ = 36π m³ ≈ 113.1 m³

The volume of the sphere is about 113.1 cubic meters.

the answer is 118 degrees

Answer:

Angle D = 118°

Step-by-step explanation:

Check out the attached photo.

Slope:- -1/3

y-intercept:-  2

Hope it helps.

Do comment if you have any query.

Answer:

Slope: -1/3

Y-intercept: 2

Explanation:

The equation y = 2 - 1/3x is in slope-intercept form.

The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.

The slope is the coefficient of x.

Hence, the slope of y = 2 - 1/3x is -1/3.

As for the y-intercept, that is the constant.

The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.

Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

[tex]\rule[225]{225}{2}[/tex]

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

Answer: 312.3 square feet

Step-by-step explanation:

The area of Felipe’s bedroom floor is 312.3 square ft.

If we have a right-angled triangle then we can write the following equation,

(Hypotenuse)² = (Base)² + (Height)²

In the given figure attached below  the properties are as follows:

In the given question and in the figure attached below the given values are:

By applying Pythagoras theorem in ΔKML we get,

(KM)² = (KL)² + (ML)²

Putting all the values in the above equation,

(25)² = (KL)² + (18)²

By rearranging,

(KL)² = (25)² - (18)²

Applying the formula, a² - b² = (a + b)(a - b) we get,

(KL)² = (25 + 18)(25 - 18)

(KL)² = 43 × 7

KL = √301 ft.

Now the area is,

area = KL × ML

        = (√301 × 18) square ft.

        = 312.3 square ft.

Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.

To know more about the area and how to calculate the area of a rectangle click here - brainly.com/question/25292087

#SPJ2

can you maybe write down the questions on my comment in here?

Answer:

A

Step-by-step explanation:

I got it correct on study island.

Answer:

no

Step-by-step explanation:

if you substitute it:

3 = 2

but 3 is not equal to 2 so i dont think its a solution

Answer:

(2, 3) is not a solution to the equation y = x

Step-by-step explanation:

Looking at the point (2, 3), we see that the x-coordinate is 2 and the y-coordinate is 3.  x = y is false.  (2, 3) is not a solution to the equation y = x.

Answer:

$15.60

Step-by-step explanation:

Hey there!

In order to solve this word problem, we need to find out how much pencils there are first

To do that, we need to take the total amount of pencil weight, which is 44.4 ounces, and divide that by the weight of one pencil, which is 1.85

44.4 divided by 1.85 is 24

So now we know that there are 24 pencils total in that store

What they are asking is how much does it cost to buy all the pencils in the store

It is already given that one pencil costs $0.65 and we found out that there are 24 pencils in total

So what we need to do is multiply 24 and 0.65 to find out the total cost of all the pencils in the store

24 times 0.65 is 15.60

So the cost to buy all the pencils at the store is $15.60

Answer:

The answer is in the image

Step-by-step explanation:

Answer:

y = -x + 3

Step-by-step explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

Answer:

Step-by-step explanation:

(3x + 2) - (x + 5)

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

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

Answer:

400

Step-by-step explanation:

so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3

Answer: 400

Step-by-step explanation: 10*10*12/3

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

Additional comment

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

Answer:

for the first one you find the slope and y intercept and for the second one get Y by itself so you have to subtract the 2x and put it on the 16 side first so it will look like this Y=-2x+16 then find your answer

Step-by-step explanation:

Hope this helps you

[tex]y=3x+1~~~...(i)\\\\2x+y=16~~~...(ii)\\\\\text{Substitute y= 3x+1 in eq (ii):}\\\\2x+3x+1 = 16\\\\\implies 5x +1 = 16\\\\\implies 5x = 16-1 = 15\\\\\implies x = \dfrac{15}5 = 3\\\\\text{Substitute x = 3 in equation (i):}\\\\y= 3(3) +1 = 9+1 = 10\\\\\text{Hence,}~ (x,y) = (3,10)[/tex]

Answer:

see below

Step-by-step explanation:

y = 2x+2

The line is in slope intercept form

y = mx+2  where m is the slope and b is the y intercept

The line intercepts the y axis is b or 2 ( 0,2)

The slope is m = 2

It means we go up 2 and over 1  (2/1)

Starting at (0,2)  , up 2 and to the right 1 is ( 1,4)

The next point would be (2,6)

The volume of a silo cylinder with radius of 8 feet and height of 36 feet is 7235 feet cube.

The volume of a cylinder can be calculated as follows;

Volume = πr²h

where

Therefore,

r = 8 ft

h = 36 ft

volume = 3.14 × 8² × 36

volume = 3.14 × 64 × 36

volume of the silo = 7234.56

Therefore, the volume of the cylindrical silo is 7235 ft³

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Answer:

Step-by-step explanation:

This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.

Use trigonometry to find the height

[tex]\\ \rm\rightarrowtail cot\theta=\dfrac{B}{P}[/tex]

[tex]\\ \rm\rightarrowtail cot20=\dfrac{92}{P}[/tex]

[tex]\\ \rm\rightarrowtail P=\dfrac{92}{cot20}[/tex]

[tex]\\ \rm\rightarrowtail P=\dfrac{92}{2.7475}[/tex]

[tex]\\ \rm\rightarrowtail P=33.49ft[/tex]

Answer: 60 cubic units is the volume

Step-by-step explanation: multiply the base area and the height. The base area is 4 cubes and 3 cubes so equals 12 . Then the height is 5 cubes so multiply equals 60 but I am sorry I only know the volume

Answer: all answers down below ⬇️

Step-by-step explanation:

The volume is 56

I added by 5s until i got 50 units and then there were only six more

Well if that happend the volume would be 36 if I’m right

add by 5s then 4s

Answer:

The total of the discount would be 1,360.

Step-by-step explanation:

If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.