You and a friend are trying to find a flag hidden in the woods. Your friend is standing
75 feet away from you. When facing each other, the angle from you to the flag is 720 and the angle from your friend to the flag is 53°. Is there enough information to locate
the flag?

Answer:

(0, 3 ) and (- 3, 0 )

Step-by-step explanation:

Where the line crosses the y- axis the x- coordinate is zero.

Substitute x = 0 into the equation and solve for y

y = 0 + 3 = 3

Thus the y- intercept is (0, 3 )

Where the line crosses the x- axis the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x

0 = x + 3 ( subtract 3 from both sides )

- 3 = x

Thus the x- intercept is (- 3, 0 )

Answer:

-55/3

Step-by-step explanation:

6x+12=3x-43

Subtract 3x from both sides:

3x+12=-43

Subtract 12 from both sides:

3x=-55

Divide both sides by 3:

x=-55/3

Hope this helps!

Answer:

x = -18.33 or x = -55/3 (fraction form)

Step-by-step explanation:

first, you need to get x on one side,

6x + 12 = 3x - 43

-3x           -3x

3x + 12 = -43

then, get the x by itself.

3x + 12 = -43

      -12     -12

3x = -55

divide both sides by three

3x/3 = -55/3

x = -18.33

and you have your answer!

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

3.75

Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x

Answer:

7+42x

Step-by-step explanation:

7(1+6x)

Distribute

7*1 + 7*6x

7+42x

Answer:

7 + 42x

Step-by-step explanation:

Use the distributive property

7 + 42x

Answer:

A = P * a / 2

A = 81.25

Step-by-step explanation:

We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:

A = P * a / 2

In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:

P = 10 * 3.25

P = 32.5 meters

We replace:

A = 32.5 * 5/2

A = 81.25

Which means that for that regular decagon, the area is 81.25 square meters.

Answer:

3π/4

Step-by-step explanation:

Answer:

(6-√21,  6+√21)

Step-by-step explanation:

x^2 - 12x = -15

(x - 6)^2 - 36 = -15

(x - 6)^2 = 21

x - 6 = ± √21

x = 6  ± √21

The solution set of the given equation is (6-√21,  6+√21)

Given is an equation, x² - 12x = -15 we need to solve it by completing the square.

Solving the equation,

x² - 12x = -15

(x - 6)² - 36 = -15

(x - 6)² = 21

x - 6 = ± √21

x = 6  ± √21

Therefore, the solution set is (6-√21,  6+√21)

Learn more about equations, click;

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Answer:

4 years old

Step-by-step explanation:

Harry = H

Brother = B

Aunty = A

Dad = B

H = ½ B

B = A - 28

A = D + 5

D = 31

A = 31 + 5 = 36

B = 36 -28 = 8 years old

H = ½ . 8 = 4 years old

Answer:

y=7*3^x

Step-by-step explanation:

y=ab^x

(0,7) ⇒ 7=ab^0 ⇒ 7=a

(5, 1701) ⇒ 1701= 7b^5 ⇒ b^5=243 ⇒ b^5= 3^5 ⇒ b=3

y=7*3^x

Answer:

Option D

Step-by-step explanation:

because the data wasn't place on a table...

Answer:

-2

Step-by-step explanation:

x-value of the vertex is -2.

The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

Given

[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)

The vertex formula helps to find the vertex coordinates of a parabola.

The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]

The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

By comparing vertex form of parabola in equation 1

a = 1, h = -2 , k = -1

Hence, x-value of the vertex is -2

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Answer:

640 and 400

Step-by-step explanation:

Cost of books: x and 1040 -x

x sold at a loss of 15%= 0.85 x

1040 -x sold at  a profit of 36% = (1040 - x)*1.36

Answer:

NO

1,2,3,6

Step-by-step explanation:

THOSE ARE CORRECT

√8=2.8

Answer:

c

Step-by-step explanation:

Answer: A.) $4 per shirt

Step-by-step explanation:

Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.

Slope(m) = [change in y / change in x]

One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.

HERE,

y2 = 120, y1 = 40 and x2 = 50, x1 = 30

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

Slope = (120 - 40) / (50 - 30)

= 80/20

Slope = 4

$4 per shirt

Answer:

-6/7

Step-by-step explanation:

5-6x=8x+17

-8x -8x

5-14x =17

-5 -5

-14x =12

/-14 /-14

12/-14 = -6/7

Answer:

The two on the bottom, -20-(-10) and -10 + 10

Step-by-step explanation:

Both are the same, since -(-10) equals +10 because the two "-" turn into "+"

Both equal -10

Answer:

28.26 inches

Step-by-step explanation:

The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26

Answer:

-3/2

Step-by-step explanation:

Take any two points on the line and calculate the slope using the formula

(y2-y1) / (x2-x1) and you should get your slope.

Answer:

yes it's equal because, if -2 and 1.5 it's the same so it would be x=2.3

Step-by-step explanation:

2.4

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

Answer:

not likely bbtguvtcettup

Answer:

118,900,000,000,000 (1.189 × 10^14)

Step-by-step explanation:

First, assume that a cell is roughly a sphere with radius 10−³cm (. Let's compute the volume of the cell from the relation between radius and volume:

The volume V of a sphere with radius r is

V=(4π)/3 r³

where r³ and V have the same units. The volume of a cell with radius 10−³cm is therefore

V=4π³/3(10−³)3≈4.1888×10−⁹ cm³.

Next, we use the fact that the density of a cell is approximately the density of water which is 1g/cm³. Let's compute the mass of a cell from its volume and density using the definition of density:

density = mass/volume

which is equivalent to

mass = density×volume.

The mass of a cell is therefore

1 (g)/cm³×4.1888×10−⁹cm³ ≈ 4.1888×10−⁹g.

Now you know the mass of a cell, what other piece of information do you need to work out the number of cells in your body? Your mass in grams (if you know your weight in pounds, you can convert: 1 lb≈453.6 grams).

Number of cells=Your Mass/Mass of Cell

For example, the mass of a 175 lb is about 45,360 grams. We have that

‪79378g/4.1888×10−⁹g≈11.89 × 10^14

so there are approximately 1×10¹⁴=118,900,000,000,000 (1.189 × 10^14) cells in the human body!

Answer:

Area = 13,898.5 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the area of the circle given the value of the diameter.

Mathematically, the area of a circle is;

A = pi * d^2/4

Where d here is 133 feet

A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2

Answer: 140 km

Step-by-step explanation:

240 km in 3 hours

1 3/4 hours = (1 3/4 / 3) x 240

= (7/4 / 3) x 240

= 7/12 x 240

= 7 x 20 = 140

Answer:

it is given , angle 2 , angle 3 , converse alternate exterior angles theorem

Step-by-step explanation:

We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because  it is given . We see that angle 2 is congruent to  angle 3  by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .

Answer:

✔ it is given

✔ angle 2

✔ angle 3

✔ converse alternate exterior angles theorem

Answer:

0.17%

Step-by-step explanation:

if she paid 24 payments of $132, then as a total she paid 132 x 24 = 3168.

formula for simple interest = p x r x t divided by 100

difference : 918

so,  22500 x r x 24 divided by 100 = 918

22500 x r 24 = 91800

24r = 4.08

r = 4.08 divided by 24 = 0.17%

Please mark brainiest.

Answer:

m = [tex]\frac{f+1}{7}[/tex]

Step-by-step explanation:

f = 4m + 3m -1

f = 7m - 1

Adding 1 to both sides

f+1 = 7m

Dividing both sides by 7

m = [tex]\frac{f+1}{7}[/tex]

Answer:

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

Step-by-step explanation:

It is not clear from the question, but I assume it is:

so the solution is:

Answer:

V = 108 cm^3

the volume of the box is 108 cm^3

Corrected question;

Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?

Step-by-step explanation:

The volume of a box V is;

V = length × breadth × height

V = l×b×h ......1

Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;

l = 15 - 2(3) = 9 cm

Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;

b = 10 - 2(3) = 4 cm

Height of the box is the length of the squares cut;

h = 3 cm

Substituting the values into equation 1;

V = 9 × 4 × 3 cm^3

V = 108 cm^3

the volume of the box is 108 cm^3

Answer:

She had four marbles in four bags. 4m. She had three more marbles.

Step-by-step explanation:

4y+3

Answer:

4m+3

Step-by-step explanation:

I had this same answer in Kahn and got it right