The western and eastern cell towers are 10 miles apart. From the
western cell tower, a phone signal is 10° north of east. From the eastern cell tower, the
signal is 20° west of north. How far away is the cell phone from each of the towers?
Sketch a diagram.

Answer:

2/5

Step-by-step explanation:

The unit rate is:  change in y over change in x

This graph goes up 2 and moves to the right 5, that means it is 2/5

Answer:  2/5

Answer:

x= -6

Step-by-step explanation:

first you want to get rid of the 4 so on both sides you subtract 4

4-x²=-32

-4      -4  that will then make the problem

-x²= -36 to get rid of the square you must do the opposite, square root ([tex]\sqrt{36}[/tex]) so it will get rid of the ²

-x= 6 then you have to get rid of the neggative on x so you will add a negative to 6

x=-6

Answer:

Marvin has 30 dollars

Step-by-step explanation:

there are 6 five dollar bills you could either multiply or add theses numbers.

1            2              3              4                 5                6

5           10            15            20              25               30

Answer:

984 cm^2

Step-by-step explanation:

Base: 10 × 24 = 240

Rectangular faces: 13 × 24 = 312 (×2 = 624)

Triangular faces: 12 × 10 = 120

Add: 240 + 624 + 120 = 984

Answer:

Step-by-step explanation:

[tex]\frac{x^{4}+6x^{3}+5x^{2} -15x-2} {x+3}[/tex]

Answer:

Option 4

Step-by-step explanation:

x + 3 x = -3

(-3)⁴ + 6(-3)³ + 5(-3)² - 15(-3) - 2

= 7

Remainder is 7, so not a factor

Answer:

x=4

Step-by-step explanation:

-8-x=x-4x

Combine like terms

-8 -x =-3x

Add x to each side

-8 -x+x = -3x+x

-8 = -2x

Divide each side by -2

-8/-2 = -2x/-2

4 = x

The opposite statements are :

The opposite statements are those which negates a given sentence in terms of direction or magnitude .

For A.

For B.

For C.

Answer:B

Step-by-step explanation:On  usa test prep

The identification of the population and the sample for the given situation is option B. The population is all classrooms in the high school; the sample is the 10 classrooms selected.

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Answer:

C. Individual citizens have the freedom to take risks and improve their lives.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

4.5(32÷8)+12

32/4 = 4

4.5 x 4 = 18

18 + 12 = 30

Answer:

30

Step-by-step explanation:

PEMDAS

32/8 =4

4.5*4=18

18+12=30

Answer:

[tex]\large \boxed{\text{3 apples and 6 bananas}}[/tex]

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

[tex]\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}[/tex]

Check:

[tex]\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}[/tex]

OK.

Alexandra bought 3 apples and 6 bananas

Number of apples = a

Number of bananas = b

From the information given, the equation to use will be:

a + b = 9 ....... i

1.75a + 0.40b = 7.65 ...... ii

From equation i, a = 9 - b ...... iii

Put equation iii into ii

1.75a + 0.40b = 7.65

1.75(9 - b) + 0.4b = 7.65

15.75 - 1.75b + 0.4b = 7.65

Collect like terms

-1.75b + 0.4b = 7.65 - 15.75

-1.35b = -8.1

b = 8.1/1.35

b = 6

She bought 6 bananas

Number of apples bought = 9 - 6 = 3 apples.

Therefore, Alexandra bought 3 apples and 6 bananas

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Answer:

Hi there!

The correct answer is: Counterclockwise rotation about the origin by 90 degrees then followed by reflection about the x axis

Answer:

Option 1

Counterclockwise rotation about the origin by 90° followed by a reflection about the x-axis

Answer:

D) 3x^2

Step-by-step explanation:

It starts at the origin, then it curves. But if you look at it, you can see the dots getting higher and more spaced out.

It's like 4x^2, but a little more spaced out.

Therefore, it is D.

The cross-section will be a 10-sided polygon only when the plane makes a narrow angle with the base, i.e. it will cut one base and 8 edges of the prism, resulting in there being 10 points of intersection, leaving a 10-sided polygon as the cross-section.

Answer:

D

Step-by-step explanation:

I took it rate this one

Answer: 26

Step-by-step explanation: you divide 468 and 18 and you get 26.

Answer:

8x - 5y - 13

Step-by-step explanation:

(6x - 3y - 12) - (2x +2y - 10)

(6x - 3y - 12) - 2x - 2y + 10

6x - 3y - 23 - 2x - 2y + 10

8x - 5y - 13

Answer:

4x+y=22

Step-by-step explanation:

6x+3y-12-(2x+2y)=10

Based on BODMAS we will have to deal with the bracket first

6x+3y-12-2x-2y=10

To continue with the solution we will have to collect like terms

That is,

6x-2x+3y-2y=10+12

4x+y=22

This can't be solved further because we don't really know the value of x and y...it can only be solved further by knowing the value of either x or y but we are not given...so we will have to leave our final answer to be

4x+y=22

Answer:

6.5 cm

Step-by-step explanation:

The solution to the question above is solved in the attached picture.

Answer: the square root of 17 is irrational.

Step-by-step explanation:

17 can not be divided evenly therefor it is irrational

Answer:

-1

Step-by-step explanation:

X = 2

Lets substitute the equation:

3*2 + y = 5

6 + y = 5

Using equation rules.

y = 5-6

Therefore y = -1

Answer:

y=-1

Step-by-step explanation:

3x+y=5

When x=2

Substitute the value of x in the above equation

3(2)+y=5

6+y=5

Collect like terms

y=5-6

y=-1

Step-by-step explanation:

Step 1: Given

BD bisects ∠ADC

Step 2: Given

BD ⊥ AC

Step 3: Corresponding Parts of Congruence Triangles are Congruent

∠1 ≅ ∠2

Step 4: By definition of perpendicular

∠ABD = ∠CBD = 90° (BD ⊥ AC )

∠3 and ∠4 are right angles.

Step 5: By CPCTC,

∠3 ≅ ∠4

Step 6: Reflexive postulate

Any side or angle is reflexive to itself.

DB ≅ DB

Step 7: ASA postulate

∠1 ≅ ∠2 (A),   DB ≅ DB (S)   and   ∠3 ≅ ∠4 (A),

∴ ΔABD ≅ ΔCBD (by ASA)

Step 8: By Corresponding Parts of Congruence Triangles are Congruent

DA ≅ DC

Step 9: Opposite sides of a triangle are equal.

ΔACD is isosceles.

Hence proved.

Answer:

C) angles are congruent and all corresponding pairs of sides are congruent a similarity transformation alt corresponding pairs

The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation. It is characterized by the property that all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

The statement that is NOT TRUE for similarity transformations is A) A similarity transformation is a composition of a finite number of dilations or rigid motions.

A similarity transformation is a type of transformation that preserves the shape of a figure but can change its size and orientation.

The correct statement for similarity transformations is D) In a similarity transformation, all corresponding pairs of angles are congruent and all corresponding pairs of sides are proportional.

This means that the angles in the original figure and the transformed figure are equal, and the ratio between corresponding side lengths remains the same.

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Answer: 66cm^3

Step-by-step explanation:AB=a2

V=a2h

3

Solving forV

V=ABh

3=11·18

3=66cm³

Answer:

The height is 5 in

Step-by-step explanation:

V = l*w*h

Substitute in what we know

360 = 24 *3*h

360 = 72h

Divide each side by 72

360/72 = 72h/72

5 = h

The height is 5 in

Answer:

The height is 5 inches

Step-by-step explanation:

Knowing that he volume of a rectangular prism is V = L*W*H, it is given that V = 360, L = 24, and W = 3. Substitute these values into the equation and get 360 = 24*3*H. This can simplify to 360 = 72*H and by dividing both sides by 72, you get H = 5. This means that he height is 5 inches.

Answer:

v=14

Step-by-step explanation:

The volume of a regulation softball with given diameter is 14 cubic inches.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³.

Given that, diameter of a softball is 3 inches.

Here, radius = 3/2 = 1.5 inches

Now, volume = 4/3 ×3.14×1.5³

= 14.13 cubic inches

≈ 14 cubic inches

Therefore, the volume of a regulation softball with given diameter is 14 cubic inches.

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Answer:

x=-7

Step-by-step explanation:

9x + 16 = 4x - 19

Subtract 4x from each side

9x-4x + 16 = 4x-4x - 19

5x+16 = -19

Subtract 16 from each side

5x+16 -16 = -19-16

5x = -35

Divide each side by 5

5x/5 = -35/5

x = -7

Answer:

x = -7

Step-by-step explanation:

in order to solve this , make x the subject of formula:

9x + 16 = 4x - 19

9x + 16 - 4x = -16

5x = -19 - 16

5x =-35

x = -35 / 5

Answer:

36 bottles for 4 is a slightly better deal per bottle.

Step-by-step explanation:

The cost per bottle is 0.1111111$ per bottle in the 36 pack.

Answer:

36 bottles for $4

Step-by-step explanation:

First you need to calculate the price for one bottle, the lower the cost, the better buy. Do this by dividing the price by the amount of bottles:

= $3 ÷ 24

= 0.125 cents

= $4 ÷ 36

= 0.111 cents

The cheaper option and the better buy is the 36 bottles for $4.

Final answer:

The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.

Explanation:

To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.

For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.

For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.

For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.

Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day

Answer:

x

Step-by-step explanation:

Answer:

28.8 million barrels.

Step-by-step explanation:

The percentage of production of Gasoline and Kerosene from Crude oil are 34% and 14%.

So, the Gasoline and Kerosene is totally produced by (34 + 14) = 48%.

If the production of Crude oil is 60 million barrels, then the production of Gasoline and Kerosene combined from this amount of Crude oil will be

[tex]60 \times \frac{48}{100} = 28.8[/tex] million barrels. (Answer)

By taking the sum of the percentages of Gasoline and Kerosene from the total crude oil production, we find that 48% of the 60 million barrels produced was Gasoline and Kerosene, which equates to 28.8 million barrels.

The total production from Crude oil is given as 60 million barrels. The total percentage of Gasoline and Kerosene is obtained by adding the individual percentages. Gasoline is 34% and Kerosene is 14%, so the total is 48%.
To find the total production of Gasoline and Kerosene, we must multiply this percentage by the total production.

Calculation: 48/100 * 60 million = 28.8 million barrels

So, the total production of Gasoline and Kerosene combined was 28.8 million barrels.

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