The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
(Figure is not drawn to scale.)

Which of the following options is closest to the distance (in miles) between points A and B? (5 points)
Group of answer choices

2.24 miles

2.65 miles

3.74 miles

5.29 miles

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

so lets do triangle NML

its a 30 60 triangle so it has a rule (image)

line NL is 2x5 = 10

Now we have that length for triangle NLK

now triangle NLK is a 45 45 triangle what also has a rule (image)

Now using the rule 10[tex]\sqrt{2}[/tex]

Answer:

-The minimum of the function is 9

-The axis of symmetry of the graph is x=0

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Please choose brainliest

Answer:

1.6 cups

Step-by-step explanation:

Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.

0.4*4=1.6

So, she needs 1.6 cups of sugar for 4 batches

Answer:

1.6 cups of sugar for four batches of cookies

Answer:

B: 4 inches

Step-by-step explanation:

I got it right on usatestprep!

Hope this helps!

From: Aug1e

[tex] {x}^{2} + 12x + 6 = 0 \\ D = {12}^{2} - 4 \times 6 = 144 - 24 = 120 = \\ = (2 \sqrt{30} )^{2} \\ x_1= \frac{ - 12 + 2 \sqrt{30} }{2} = - 6 + \sqrt{30} \\ x_2= \frac{ - 12 - 2 \sqrt{30} }{2} = - 6 - \sqrt{30} [/tex]

But i don't see correct answer here

Ox= 6 + V30

Ox= 6+ V30

Ox= 60 V6

Ox= 6 + V6

or maybe i don't understend something

Answer:

120 ounces of milk for $3 is a better buy

Step-by-step explanation:

Divide the total number of ounces by the price to find the price per ounce:

120 ÷ 3 = 40 cents per ounce

600 ÷ 13 = 46.15 cents per ounce

The length of the zipline for the building which you are looking at needed to be 154.01 feet.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given the situation making a right-angle triangle with an angle of 37° and a base is 123 feet.

By trigonometric function

cos37° = 123/zipline

zipline = 123/cos37°

zipline = 154.01 feet

Hence, the zipline which is needed is 154.01 feet.

For more information about the trigonometric function,

brainly.com/question/1143565

#SPJ5

Answer:

Sales tax is calculated by multiplying the cost of a good or service by the appropriate sales tax rate The answer is B  (purchase price) (percent sales tax); then d. (purchase price) (percent sales tax). Hope it helps!:)

Answer:

x = 6

Step-by-step explanation:

Given

x - 2 = [tex]\sqrt{x+10}[/tex]

Square both sides to clear the radical

(x - 2)² = x + 10 ← expand left side using FOIL

x² - 4x + 4 = x + 10 ( subtract x + 10 from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 1

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 1 : left side = - 1 - 2 = - 3

right side = [tex]\sqrt{-1+10}[/tex] = [tex]\sqrt{9}[/tex] = 3 ≠ - 3

---------------------------------------------------

x = 6 : left side = 6 - 2 = 4

right side = [tex]\sqrt{6+10}[/tex] = [tex]\sqrt{16}[/tex] = 4

----------------------------------------------

Thus x = 6 is the solution, x = - 1 is an extraneous solution

Answer:

two hundred seventy four thousand seventy-five

Answer: Step-by-step explanation: 274,075 written in words is:

Two Hundred Seventy Four Thousand Seventy-Five

Answer:

907.5 cm

Step-by-step explanation:

Multiply them together but next time use a calculator

Answer: 907.5 cm^3

Step-by-step explanation:

Volume is base*width*height, therefore 22*5.5*7.5 is 907.5

Answer: fewer

Step-by-step explanation: The data has a positive trend, then a negative. And using common sense, since when do people go to the pool in December unless indoors, even then it is rare. Some questions require common sense too BTW.

Answer:

t=10

Step-by-step explanation:

(t+10)+t=t+20,

Combine like terms

2t+10 = t+20

Subtract t from each side

2t-t+10 =t-t+20

t+10 =20

Subtract 10 from each side

t+10-10 = 20-10

t = 10

Answer:

t = 10

Step-by-step explanation:

2t+10 = t+20

-t          -t

__________

t + 10 = 20

   -10   -10

_________

t         = 10

[tex]V = \pi r^{2} \times h[/tex]

[tex]r = 11 \div 2 = 5.5 \\ h = 14 \\ \pi = 3.14[/tex]

[tex]V = 3.14 \times 5.5 ^{2} \times 14 = 1,329.79[/tex]

Answer: V=1,329.8

Answer:

Step-by-step explanation:

Given

diameter (d) = 11 cm

Height(h) = 14 cm

first calculating the radius

radius = d/2 = 11/2 = 5.5 cm

Now

Volume of the cylinder

=[tex]\pi r^{2}h[/tex]

= 3.14 * (5.5)^2 * 14

= 1329.8 cm^3

Hope it will help

Step-by-step explanation:

Given that,

Distance covered by a trucker, d = 500 miles

Average speed of the trucker, v = 600 mph

A trucker drove 500 miles in h hours. We need to write the linear equation used to find the number of hours that the trucker drove. Average speed is given by :

[tex]v=\dfrac{d}{t}[/tex]

t is time in hours

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{500\ miles}{60\ mph}[/tex]

If t is h hours,

[tex]h=\dfrac{500\ miles}{60\ mph}\\\\500=60h[/tex]

On solving, h = 5 hours.

Hence, this is the required solution.

Answer:

Explanation:

You can set a system of two equations.

1. Variables

2. Cost

          x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

ii) Solve

iii) Substitute x = 120 into the equation (2)

Solution: 120 pens and 200 pencils ← answer

Given:

A composite shape consisting of three rectangles with different lengths and widths.

To find:

The area of the composite shape.

Solution:

To find the area of the composite shape we must add the areas of all the three rectangles.

The upper rectangle has a length of 8 inches and a width of 4 inches.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the upper rectangle [tex]=(8)(4)=32[/tex] in².

The middle rectangle has a length of [tex]8-4=4[/tex] inches and a width of [tex]10-4-1.5=4.5[/tex] inches.

The area of the middle rectangle [tex]=(4)(4.5) = 18[/tex] in².

The lower rectangle has a length of 8 inches and a width of 1.5 inches.

The area of the lower rectangle [tex]= (8)(1.5)=12[/tex] in².

The area of the composite shape [tex]= 32+18+12 = 62[/tex] in².

The composite shape has an area of 62 in² which is option 3.

Answer: you have to do 62

Step-by-step explanation:

Answer:

Intersections

It has the highest number out of the four options given

Answer:

answers below

Step-by-step explanation:

1. no

2. yes

3. no

4. yes

5. no

6. yes

7. no

8. no

9. no

10. no

11. no

12. yes

Answer:

Below.

Step-by-step explanation:

1. No because there is a one-to-many relation in the diagram ( 8 maps to 3 and also to 4.

2. Yes. It is a one-to-one mapping.

3. Yes. It consists of on-to-one and many to one mapping.

4. No. Because it fails the vertical line test.

5. No.  As number 4.

6. Yes . this passes the vertical line test.

7.  Yes.

8.  No.   Input 1 maps to output 4 and output 7.

9.  Yes.

10. No. Because of the (3, 7) and the  (3, 6).

11.  No , because 1 maps to 8, 2 and 7.

12. Yes.

Answer:

B - 59 degrees

Step-by-step explanation:

In total there is 360 degrees, 131 + 170 = 301, 360 - 301 = 59

Answer:

B

Step-by-step explanation:

131+170=360

301=360

59

Answer:

the slope is [tex]-\frac{1}{2}[/tex]

the y-intercept is [tex](0,-1.5)[/tex]

Step-by-step explanation:

(the website i used to graph it is called desmos)

After you graph the line, the y-intercept is the point on the line where it passes through the y-axis. On this line, that point is [tex](0,-1.5)[/tex]

To find the slope, an easy way would be to use "rise over run"

Find two points on the line and plug them into this equation: [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex], for this i used the points [tex](5,-4)[/tex] and [tex](7,-5)[/tex]

[tex]\frac{-4+5}{5-7} = -\frac{1}{2}[/tex]

so the slope is [tex]-\frac{1}{2}[/tex]

Answer:

100

Step-by-step explanation:

x = 5 × 20 = 100

.........................

Answer:

3t+5.25b≥470

Each taco sells for $3, so t tacos will bring in 3t dollars. Each burrito sells for $5.25, so b burritos will bring in 5.25b dollars. Therefore, the total amount of revenue 3t+5.25b must be greater than or equal to $470:

Answer:

Hope this helps!

Step-by-step explanation:

Area = π · r2 = 3.14 · 2.62 = 21.24 square inches.

Step-by-step explanation:

[tex]{x}^{2} + 4x - 7 = 0[/tex]

Take -7 to the other side making it +7

Half the coefficient of x and square it

[tex] \frac{1}{2} \times 4 = 2[/tex]

Square the answer

[tex]{2}^{2} = 4[/tex]

Join your answers

[

[tex](x + 2) - 4 = 7[/tex]

Take -4 to the other side making it +4

[tex](x + 2) = 7 + 4 \\

(x + 2) = 11

[/tex]

Square root both sides

[tex] \sqrt{x + 2}= \sqrt{11} [/tex]

[tex]x + 2 = \sqrt{11} [/tex]

Take +2 to the other side

[tex]x = - 2 \ + or - \sqrt{11} [/tex]

[tex]x = - 2 + \sqrt{11} [/tex]

or

[tex]x = - 2 - \sqrt{11} [/tex]

This can be your answering surd form if required or in decimals

Given:

The two angles A and B are vertical angles.

The measure of ∠A is x and the measure of ∠B is 5x - 20.

We need to determine the measure of ∠A.

Value of x:

Since, the angles A and B are vertical angles and the vertical angles are always congruent.

Thus, we have;

[tex]\angle A=\angle B[/tex]

Substituting the values, we have;

[tex]x=5x-8 0[/tex]

[tex]0=4x-80[/tex]

Adding both sides of the equation by 80, we have;

[tex]80=4x[/tex]

[tex]20=x[/tex]

Thus, the value of x is 20.

Measure of ∠A:

The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.

Thus, we get;

[tex]\angle A=20^{\circ}[/tex]

Thus, the measure of ∠A is 20°

Answer:

17 degrees.

Step-by-step explanation:

Total sum of angles on a triangle always make 180

112+51=163

180-163=17