Select all the values of x from this list that make the inequality


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solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]

Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46°

Answer:

16x^(2)+40y^(6)

Step-by-step explanation:

Answer:

b

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:

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:

It is -0.465 when you add it to the nearest thousandth

Step-by-step explanation:

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:

It should be 25.

Step-by-step explanation:

one Triangle is 5 times the size of the other triangle

length of 5 x 5 = 25

width of 3 x 5 = 15

Answer:

5100

Step-by-step explanation:

the geometric sequence is

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

add up the first 8 to get

Answer:

203

Step-by-step explanation:

Answer:

∑ᵢ⁷₌ ₁(7+8i)

Explanation:

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

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:

each apple is £ 1.80

Step-by-step explanation:

i first multiplied the cost for one pear by 7, to get how much money was spent on pears out of the 12.70.

Then i took the remaining money and divided it by 2 to get how much each apple costs.

Answer:

1.80

Step-by-step explanation:

1) Price of Pears

[tex]1.30 * 7 = 9.10[/tex]          formating: 1.30*7 = 9.10

2) Price of Apples

[tex]12.70 - 9.10 = 3.60[/tex]          formating: 12.70-9.10 = 3.60

3) Price of Apples/Kg

[tex]\frac{3.60}{2} = 1.80[/tex]          formating: 3.60/2 = 1.80

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

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:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

Answer:

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

Answer:

there could be three different.

Step-by-step explanation:

it could be a combination of the two genders that can make them different :)

Answer:

C

Step-by-step explanation:

the answer is c because there is more then one y value for 5

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

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°

Answer:

B and E

Step-by-step explanation:

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:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

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:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

Answer:

green because it sounds like garbage

Step-by-step explanation:

Answer:

the one u want to put em in?

Step-by-step explanation:

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