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Answer:A

Step-by-step explanation:

Answer:

Height of the tree is 20.25 m.

Step-by-step explanation:

Length of building AB = 54 m

Length of tree DE = 9 m

Shadow casted by the building (BC) = 24 m

Shadow casted by the tree (CE) = 9 m

Since, ΔABC ~ ΔDEC

By the property of similar triangles, corresponding sides of the similar triangles will be proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]

[tex]\frac{54}{h}=\frac{24}{9}[/tex]

h = [tex]\frac{54\times 9}{24}[/tex]

h = 20.25 m

Therefore, height of the tree is 20.25 m.

Answer:

7/24

Step-by-step explanation:

in order to get the fraction, you need to add all of the books read together; you should get 120.

Then add all of the books read in even classes(2nd grade and 4th grade) and you should get 35.

Then place 35 on top of 120 to form the fraction: 35/120.

Then simplify the fraction by finding the greatest common factor, which is 5, and divide 35 and 120 by 5 to get 7 and 24.

Answer:

8+4

Step-by-step explanation:

Hope this is helpful ! have an amazing day... God Bless you :)

Answer:

8x + 4

Step-by-step explanation:

To answer, we have to make sure to hand out the 4 evenly so that each number or variable within the parentheses gets multiplied by 4:

4(2x + 1) = 8x + 4

As you can see, we multiplied each number inside by the number outside, and we got 8x + 4 as our answer.

Hope this helps :)

Answer:

y=5

Step-by-step explanation:

It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.

Step-by-step explanation:

e. >

f. <

g. =

h. >

i. =

j. <

.....

Answer:

e. >

f. <

g. =

h. >

i. =

j. <

Answer:

4 goats

Step-by-step explanation:

Let us represent

Number of quails = x

Number of goats = y

Quails have 2 legs

Goats have 4 legs

Hence:

There are 6 animals in the pen some are quails and some are goats

x + y = 6...... Equation 1

x = 6 - y

if there are 20 legs in all how many quails

2x + 4y = 20..... Equation 2

We substitute 6 - y for x in Equation 2

2(6 - y) + 4y = 20

12 - 2y + 4y = 20

Collect like terms

- 2y + 4y = 20 - 12

2y = 8

y = 8/2

y = 4 goats

The number of goats there are 4 goats

Answer:

slope is 0

Step-by-step explanation:

The slope of any horizontal line is zero, 0.

Answer:

30/40 and 12/16 are equivalent fractions.

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

Answer:

i think is is 64a

Step-by-step explanation:

Answer:

[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]

Answer:

Step-by-step explanation:

IN slope intercept form

3y = 2x + 9

y = ( 2x + 9)/3

y = 2/3 x + 3

Answer:

[tex] \huge \boxed{ \boxed{ \mathfrak{y = \frac{2}{3} x + 3}}}[/tex]

Step-by-step explanation:

Answer:

14units

Step-by-step explanation:

Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).

Using the formula for calculating distance between two points;

AB =√(5-1)²+(3-3)²

AB = √4²

AB = 4

BC = √(5-5)²+(6-3)²

BC = √3²

BC =>3

CD = √(1-5)²+(6-6)²

CD = √(-4)²

CD = √16

CD = 4

AD= √(1-1)²+(6-3)²

AD = √3²

AD = √9

AD =3

Perimeter of the rectangle = AB+BC+BD+AD

Perimeter of the rectangle = 4+3+4+3

Perimeter of the rectangle = 14units

The answer is A. unchanged

Answer:

180

Step-by-step explanation:

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

Answer:

Trapezoid

Step-by-step explanation:

They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.

That means it's at least a trapezoid.

As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).

It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.

As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).

Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).

Answer:

Step-by-step explanation:

85°

Answer:

60

Step-by-step explanation:

All the sides are equal

Answer:

d

Step-by-step explanation:

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.

4444444444444444444 4444444

Answer:

4

Step-by-step explanation:

A P E X:L E A R N I N G

Given:

The equation of a circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]          ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

Write the given equation in standard form of a circle.

[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]

[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]

[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]

On further simplification, we get

[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]h=0.5,k=1,r=2[/tex]

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

Answer:

The time would become 13:40

Step-by-step explanation:

8 in 8:40 is hours

40 in 8:40 is minutes.

Answer:

1:40pm

Step-by-step explanation: