The figure below shows the dimensions of a section of Mr. Green's gardent that he will use for planting flowers. What is the area of Mr.
Green's garden that he will use?

Answer:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.

So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.

The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.

I always forget supplementary vs complementary, but a little bit of practice will help a lot.

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

the radius of the sphere is 12 cm.

Step-by-step explanation:

IN A CONE

vertical height (h) = 27 cm

radius (r) = 32 / 2 = 16 cm

Now the volume of cone is

= 1/3 *h*π*r²

= 1/3 * 27 *π *16²

= 2304π cm³

Also by the question the cone and the sphere have equal volumes so

volume of sphere = volume of cone

                             = 2304 π cm³

OR, 4/3 πr³ = 2304 π

4/3 * r³ = 2304

r³ = 2304 * 3 / 4

r³ = 1728

r = ∛1728

r = 12 cm

hope it helps :)

Answer:

31.4in

Step-by-step explanation:

In order to solve this, we need to know that circumference of a circle is equal to its diameter times "pi" (a mathematical constant). So we just do...

(π)(10in) ≅ 31.4in (rounded to the nearest tenth)

Answer:

x=7

Step-by-step explanation:

since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Answer:

56.73 ft

Step-by-step explanation:

Given:

51° (angle)

73ft (hypotenuse)

With the given information use sin to determine the height of the kite.

sin51° = x/73

solve for x (height)

x= 73*sin51°

x= 56.73ft

Answer:

the answers are b and c

Step-by-step explanation:

b

[tex]12x + 24y = \\ 4(3x + y)[/tex]

c

[tex]2(6x + 12y) = \\ 12x + 24y = \\ 4(3x + 6y)[/tex]

Answer:(2) (3) (4)

Step-by-step explanation:

Answer:0.47

Step-by-step explanation:

Answer:

its b i just took this on a p 3 x  :))

Step-by-step explanation:

Answer:

203

Step-by-step explanation:

Answer:

∑ᵢ⁷₌ ₁(7+8i)

Explanation:

In order to write a series in sigma notation you must:

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

Answer:

a = 0, b = 7

a = 1, b = 6

a = 2, b = 5

a = 3, b = 4

a = 4, b = 3

a = 5, b = 2

a = 6, b = 1

a = 7, b = 0

Step-by-step explanation:

the sum of a and b must equal 7 because 4 x 7 = 28

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

Sea Travels

Step-by-step explanation:

Hope this helps

Answer:

Crossing a land bridge.

Step-by-step explanation:

We that what I think they would do.

Answer:

Step-by-step explanation:

This is just simple addition so there really isn't anything to talk about.

Just note that -5 1/2+6 3/4=1 1/4.

Then, we do 1 1/4+(-4 1/4)

This is just -3.

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

Answer:

The awnser is 2432

Step-by-step explanation:

12x28x22= 2432

Answer:

1. 2

2. 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Step-by-step explanation:

1. |4−2| (simplified)

= |2|

=2

2. 2a^2 = 5.2

(22)(1.3)

=(4)(1.3)

=5.2

(2.6 - (2*1.3))=

5.2 - (2.6 - 2.6) = 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Answer:

[tex]0.625kg[/tex]

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

[tex] \displaystyle f(t) = a {0.5}^{t/T} [/tex]

where:

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

[tex]\displaystyle f(420)=5\cdot{0.5}^{420/140}[/tex]

reduce fraction:

[tex]\displaystyle f(420)=5\cdot{0.5}^{3}[/tex]

By using calculator we acquire:

[tex]\displaystyle f(420)=0.625[/tex]

hence, the remaining sample after 420 days is 0.625 kg

Answer:

(3,2)

Step-by-step explanation:

3x-2y=5

x+2y=7     Add them up

4x=12     Solve for x

x=3

3+2y=7   Plug it back into either one of the parent functions and solve for y

2y=4

y=2

(3,2) That's the point where the two lines intersect each other.

Answer:

<1 = 112degrees

<2 = 33degrees

Step-by-step explanation:

From the figure, the sum of interior angles of the larger triangle is equal to the exterior, hence;

<1 + 15 = 127

<1 = 127 - 15

<1 = 112degrees

For the smaller triangle;

<1 = <2 + 79

112 = <2 + 79

<2 = 112-79

<2 = 33

Hence the measure of <2 is 33degrees