Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Complete the model to represent Sage’s minutes.

Enter the correct answers in the boxes.

Answer:

there is not enough information

Answer:

11 1/9 ft^3

Step-by-step explanation:

find the complete question in the attached image

volume of the tank = length x width x height

2 x 5 x 1 2/3

2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3

If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3

volume that needs to be filled with water = 2/3 x volume of the tank

2/3 x 50/3 = 11 1/9 ft^3

Answer:

1224.05

Step-by-step explanation:

formula:

PV(e^(it))

550*e^(.04*20)=1224.0475 which rounds to 1224.05

Answer:

3. below

<D = 75°

<E = 37°

<F = 68°

4. below

<G = 50°

<H = 80°

<I = 50°

5. below

<A = 55°

<B = 90°

<C = 35°

Step-by-step explanation:

In a triangle, all angles add up to 180°, so we can set up equation accordingly:

3. m<E + m<F + m<D = 180°

6x + 1 + 68 + 13x - 3 = 180

19x + 66 = 180

19x = 114

x = 6°

We can substitute the value of x back into the expressions for each angle:

m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°

m<F = 68°

m<D = 13x - 3 = 13(6) - 3 = 75°

4. m<G + m<I + m<H = 180°

2x + 2x + 4x - 20 = 180

8x - 20 = 180

8x = 200

x = 25°

We can substitute the value of x back into the expressions for each angle:

<G = 2x = 50°

<H = 4x - 20 = 4(25) - 20 = 80°

<I = 2x = 50°

5. m<B + m<C + m<A = 180°

90 + 3x + 5 + 5x + 5 = 180

100 + 8x = 180

8x = 80

x = 10°

We can substitute the value of x back into the expressions for each angle:

<A = 5x + 5 = 5(10) + 5 = 55°

<B = 90°

<C = 3x + 5 = 3(10) + 5 = 35°

orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.

Answer:

Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.

Step-by-step explanation:

Refer to the diagram attached.

The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.

The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].

The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.

The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:

[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].

[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

Step-by-step explanation:

I don't know what constructions you were taught.

a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.

by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).

and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.

I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.

we would get the triangles ABC, AMN and AXY.

the points B and C would be then halfway on AM and AN.

and M and N would then a bit before X and Y on AX and AY.

the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.

let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.

now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.

and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.

and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).

Answer:

72 degrees

Step-by-step explanation:

Find the diagram attached. We are to find the length of the arc

Measure of arcABC = rtheta

16π = 10 theta

theta  = 16*180/10

theta = 16 * 18

theta = 288degrees

central angle = 360 - 288 = arc AC

central angle = 72degrees

Hence the arc measure of AC is 72 degrees

Answer:

D) 7x+5

Step-by-step explanation:

hope it helps.

Answer:

[tex]D) 7x + 5[/tex]

Step-by-step explanation:

[tex]2(2x+1)+3x+3[/tex]

[tex]2(2x)+2 \times 1+3x+3[/tex]

[tex]4x+2 \times 1+3x+3[/tex]

[tex]4x+2+3x+3[/tex]

[tex]7x+2+3[/tex]

[tex]7x+5[/tex]

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

Answer:

2 blocks

Step-by-step explanation:

if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2

Answer: y=2 and x=6

Step-by-step explanation:

x=3y

4x+5y=34

From equation ( 1) x=3y thus substituting in eqn(2)

4(3y)+5y=34

12y+5y=34

17y=34

y=34÷17=2

Thus y=2

Putting y=2 in eqn(1)

x=3y

x=3(2)

x=6

Answer:

this just helped me so much

Step-by-step explanation:

Omg ilysm and thank you for spreading such positivity Muaahhh<3

Answer:

Min: 1

Q1: 2.75

Med: 12.5

Q3: 8.25

Max: 19

Step-by-step explanation:

Answer:

Tim has 64 dollars. I did the math and I know I'm right

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

Answer:

x=16

Step-by-step explanation:

Both angles are verically opposite angles

so

4x+21=85

4x=85-21

4x=64

x=16

Answer:

the answer is B

Step-by-step explanation:

because it is in the form ax^2+bx+c

Answer: 36.25°

Step-by-step explanation:

Use SOHCAHTOA (sin, cosine and tangent)

SOHCAHTOA:

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

When you have an angle that you want to solve, look at what information you're given. In this problem, we're give nthe sides that are opposite to and adjacent to the angle we want to solve. So, we use TAN.

And just as a note, θ this symbol is called theta, and it represents an angle.

TAN(θ) = Opposite / Adjacent = 11/15

Then, use the inverse of tan (you can find the button on a calculator). You can use the inverse of sine, cosine or tangent whenever you want to switch them from one side of the equation to the other.

TAN(θ) = [tex]\frac{11}{15}[/tex]

θ = [tex]tan^-1(\frac{11}{15} )[/tex]

Then, using a calculator, solve. The answer is about 36.25°

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]

Answer:

b

Step-by-step explanation:

sorry if it's not correct

Answer:

100 cm

Step-by-step explanation:

This is a linear function with an equation of y = 20x.

Plug 5 in for x to get 100 as your answer.

Answer: 100 cm

Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds

(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

Answer:

Its D.

Step-by-step explanation:

The expanded form of this number 630.052 is (6×100)+(3×10)+(5×1/100)+(2×1/1,000). Option D is correct.

Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.

The expanded form of this number 630.052 is solved by the BODMAS rule ;

630.052= (6×100)+(3×10)+(5×1/100)+(2×1/1,000)

630.052=6×100+3×10+5×0.01+2×0.001

630.052=600+30+0.05+0.002

630.052=630.052

The expanded form of this number 630.052 satisfy the option D.

Hence option D is correct.

To learn more about the arithmetic operation;

brainly.com/question/20595275

#SPJ2

Answer:

3x*59x=

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so 4x + 2 = 8x - 50. By subtracting 4x from both sides of this equation, we get that 2 = 4x - 50. Adding 50 to both sides yields 52 = 4x, and dividing by 4 gives us that x = 13.

By substituting this, we see that the measure of angle A is 4(13)+2, which is 54 degrees. Angle B is supplementary to angle A, so its measure is 180-54, which is 126 degrees.

Answer:

answer is 5d-10=c

hope that helps in any way