Work out the area of the triangle.
Give your answer correct to 1 decimal place.
105°
13 cm
10 cm

The inequality that represents the solution of -2(3x + 6) ≥ 4(x + 7) is  x ≤ -4, the correct option is B.

An inequality is a statement that is formed when two expressions are joined using an inequality operator.

The inequality is -2(3x + 6) ≥ 4(x + 7)

To find the solutions, the inequality has to be simplified.

Solving the inequality by using Distributive Property,

-6x -12 ≥ 4x +28

Adding (+12) on both sides of the inequality

-6x ≥ 4x +28 +12

Adding (-4x) on both the sides of the inequality

-6x + (-4x) ≥ 40

-10x ≥ 40

Dividing 10 on both the sides

-x ≥ 4

Reversing the sign of the inequality to remove the negative sign of x

x ≤ -4

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Solution:

We know that:

This means that:

Step-by step calculations:

Simplify the numerator:

Cancel the denominator:

Simplify the term:

Area:-

[tex]\\ \rm\rightarrowtail 1/2(sum\:of\: parallel\:sides) Height [/tex]

[tex]\\ \rm\rightarrowtail 1/2(16+8)(6)[/tex]

[tex]\\ \rm\rightarrowtail 3(24)[/tex]

[tex]\\ \rm\rightarrowtail 72in^2[/tex]

The balance scale is perfectly balanced when it sits perfectly

The weight of each can of soda is 8 ounces

Represent the weight of the can with x.

On the first side, where there are 2 cans of soda.

The weight is 2x

On the other side, where there is 1 can of soda and 8 ounces of sand

The weight is x + 8

Since the balance scale is perfectly balanced, then we have the following equation

2x = x + 8

Subtract x from both sides

x = 8

Hence, the weight of each can of soda is 8 ounces

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Answer:

Formula for area of a parallelogram;

a = bh

where b is the base, and h is the height

Our height is 64.3

Our base is 4.3

Now we multiply them:-

a = bh

a = 4.3 x 64.3

a = 276.49^2 meters

Answer: 180 - 143 = 37

37 + 61 + angle b = 180( angle sum property )

b= 180-98

B = 82

Step-by-step explanation:

Answer: C

Step-by-step explanation:

P - Value

Is the evidence against the null hypothesis.

The lower the p-value, the greater the chance of rejection of the null hypothesis.

The greater the p-value, the greater the chance to accept the null hypothesis.

So, in other words, the question asks the probability of having accepted a null hypothesis.

So using the above statement we can say that statement C is true.

Answer:

The question is not clear. Is this the complete question?

Answer:

ok

Step-by-step explanation:

-3a + 6b = a + 4b

we move both values to the same side

6b – 4b = a + 3a

subtracting 6 from 4 gives us 4, and a 1 plus 3 gives us 4

2b = 4a

divide 4 on both sides to solve for a and to get a by itself.

1/2=a

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Hey there!

Let's solve for a.

[tex] \fbox{−3a+6b=a+4b}[/tex]

Step 1: Add -a to both sides.

[tex] \fbox{−3a+6b+−a=a+4b+−a}[/tex]

[tex] \fbox{−4a+6b=4b}[/tex]

Step 2: Add -6b to both sides.

[tex] \fbox{−4a+6b+−6b=4b+−6b}[/tex]

[tex] \fbox{−4a=−2b}[/tex]

Step 3: Divide both sides by -4.

[tex] \fbox{−4a/−4 = −2b/−4}[/tex]

[tex] \fbox{a= 1/2b}[/tex]

Answer:

[tex] \fbox{a= 1/2b}[/tex]

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Answer:

Felipe's expression using the Distributive Property can be written as

5 × 28 = 5( 20 + 8)

5 × 28 = (5 × 20) + (5 × 8)

Step-by-step explanation:

Distributive property states that:

a( b + c) = ab + ac

We are told in the question that:

DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs.

Therefore:

Felipe's expression using the Distributive Property can be written as:

5 × 28 = 5( 20 + 8)

5 × 28 = (5 × 20) + (5 × 8)

Answer:

[tex]2\sqrt[3]{3}[/tex]

explanation:

[tex]\rightarrow \sf 24^{\frac{1}{3}}[/tex]

[tex]\rightarrow \sf \sqrt[3]{24}[/tex]

[tex]\rightarrow \sf \sqrt[3]{2*2*2*3}[/tex]

[tex]\sf \rightarrow \left(2^3\cdot \:3\right)^{\frac{1}{3}}[/tex]

[tex]\sf \rightarrow 2\cdot \:3^{\frac{1}{3}}[/tex]

[tex]\sf \rightarrow 2\sqrt[3]{3}[/tex]

Answer:

Step-by-step explanation:

24^(1/3)

=(8*3)^(1/3)

=(8)^(1/3)*(3)^(1/3)

=(2^3)^(1/3)*3^(1/3)

=2*(3)^(1/3)

or [tex]2\sqrt[3]{3}[/tex]

Answer: 975

Step-by-step explanation: hope this helped!

Answer:

975

Step-by-step explanation:

Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975

Solution:

We know that:

[tex]Area \ of \ triangle = \dfrac{1}{2} \times Base \times Height[/tex]

Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.

[tex]Area \ of \ triangle = \dfrac{1}{2} \times 18 \times24[/tex]

Cancel out the "2" by dividing it by 18.

[tex]Area \ of \ triangle = 9 \times24[/tex]

Simplify the multiplication.

[tex]\bold{Area \ of \ triangle = 216 \ ft^{2}}[/tex]

Answer:

she purchased 8 candy bars

Step-by-step explanation:

first I would do 20-8.32=11.68

then i do 11.68 divided by 1.46=8

Answer:

60

Step-by-step explanation:

all sides are equal

The value of y is 60. so the answer is D. 60°.

In a triangle, the sum of all angles is always 180 degrees.

If two angles of a triangle are 60 degrees each, the third angle can be found by subtracting the sum of the other two angles from 180 degrees.

So, the third angle would be:

60 + 60 + y = 180

y = 180° - 60° - 60°

y  = 60°

Therefore, the value of the third angle, which is represented by y in this case, is 60°.

Therefore, correct answer is D. 60°.

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Answer:

x = 15

Step-by-step explanation:

The given angles are same- side interior angles and are supplementary, thus

6x + 7 + 3x + 38 = 180, that is

9x + 45 = 180 ( subtract 45 from both sides )

9x = 135 ( divide both sides by 9 )

x = 15

Answer:

x = 15

Step-by-step explanation:

these two angles are actually supplementary, which means they add up to 180.

using this, you can make this equation:

3x + 38 + 6x + 7 = 180

combine like terms.

3x + 6x + 38 + 7 = 180

9x + 45 = 180

subtract 45 from both sides.

9x = 135

divide both sides by 9

x = 15

Answer:

good for conner

Step-by-step explanation:

yaaay

Answer:

The value  is  [tex] k =109.6 \ miles [/tex]

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  [tex]\theta_{BC} =  N 28.7E[/tex]

   The bearing from B to  A is  [tex]\theta_{BA} =  N 60.7E[/tex]

   The  bearing from A to  B is   [tex]\theta_{AB} =  S60.7W[/tex]

    The  bearing from A to  C is   [tex]\theta_{AC} =  S79.1W[/tex]

Generally from the diagram

     [tex]\theta_A  =  180 - 60.7 -79.1[/tex]

=>  [tex]\theta_A  =  40.2 ^o[/tex]

Also

     [tex]\theta_B  =  32^o [/tex]

and  

      [tex]\theta_C  =  180 - (\theta_A  +\theta_B )[/tex]

=>   [tex]\theta_C  =  180 - (40.2  + 32 )[/tex]

=>   [tex]\theta_C  =  107.8 ^o[/tex]

Generally according to Sine Rule

     [tex]\frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}[/tex]

=>   [tex]\frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}[/tex]    

So

     [tex]\frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}[/tex]

=>  [tex]BC = 316.8 \ miles[/tex]

Also  

    [tex]\frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}[/tex]

    [tex]CA = 260 .1 \ miles [/tex]

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      [tex]k = [CA +BC]  - AB [/tex]

=>     [tex] k = [260 .1 +316.8]- 467.3 [/tex]

=>  [tex] k =109.6 \ miles [/tex]

Answer:

first 1 is 1.6 x 10 ^-6 then second one is 20000000 which in sf is 2 x 10^7

Step-by-step explanation:

hope that helps xx

Answer:

Any time a positive number is multiplied by a negative number, the positive number will be turned into a negative number.

a)

-8,000 x -20,000 = 160,000,000 one hundred sixty million

b)

600 ÷ -300,000 = 0.002 or -500

Answer:

Startfraction 1 over 81

Step-by-step explanation:

Answer:

C on edge

because i said so

Answer:

19. a) yes; acute triangle

20. a) no, because 4+2<7

Answer:

You did it correct

but last it no

Step-by-step explanation:

bc i said so and i have same book at school

Answer:

it should be either x or y

Step-by-step explanation:

you only said one number...

Answer:

64 degrees.

Step-by-step explanation:

Angle AC forms a straight line, which means it will be 90 degrees. We know the angle of AE is 26, and angle EF is 90 degrees, indicated by the small square in the corner. You take 180 (angle AC) - 26 (angle AE) 90 (angle EF) and are left with 64.

Answer:

120.62 feet

Step-by-step explanation:

Let the entrance be the origin (0,0). If  the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). If the swings are located 23 feet west and 124 feet north of the entrance, its coordinates are (-23, 124).

We now find the distance from the swing to the Ferris wheel which for a pair of coordinates (x₁, y₁) and (x₂, y₂) is gotten from d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (-23, 124) and (x₂, y₂) = (95, 156).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(95 - (-23))² + (156 - 124)²]

= √[(95 + 23))² + (156 - 124)²]

= √[(118)² + (32)²]

= √[13924 + 1024]

= √14948

= 122.26 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 × 122.26/8 = 45.85 feet

To find the coordinates (x', y') of Jalen's point from the entrance, we subtract his distance from the Ferris wheel from the coordinates of the point of the Ferris wheel. So, (x', y')  = (95 - 45.85, 156 - 45.85) = (49.15, 110.15).

So, Jalen's distance from the entrance is gotten from

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (0, 0) and (x₂, y₂) = (49.15, 110.15).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(49.15 - 0)² + (110.15 - 0)²]

= √[(49.15)² + (110.15)²]

= √[‭2,415.7225‬ + ‭12,133.0225‬]

= √‭14,548.745‬

= 120.62 feet

Answer:

A' = ( 3+1,2+2) =(4,4)

B'=(4+1,5+2)=(5,7)

C'=(6+1,3+2)=(7,5)

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Answer:

13,452 is the value after 12 years

Step-by-step explanation: because

Answer:

A or c

Step-by-step explanation:

it's one of dem I done dis on ireasy not the same thing tho

Answer:

5(-2+7+12)

-10+35+60

-10+95

=85