A forest ranger is on a lookout tower in a forest. His observation tower is 214.7 feet above the
ground when he spots an illegal forest fire. The angle of elevation from the fire to the top of
the lookout is 78 degrees. Find the distance between the base of the tower and the fire. Round
your answer to the nearest tenth (you do not have to include units in you answer)

Answer:

Fernando buys 6 cups of milk to make milkshakes for all his friends

Step-by-step explanation:

Fernando buys 1 quart of milk and one eighth  gallon of milk.

1 quart = 4 cups

1 gallon = 16 cups

So, [tex]\frac{1}{8} gallons = \frac{1}{8} \times 16 = 2 cups[/tex]

So,  1 quart of milk and one eighth  gallon of milk = 4 cups + 2 cups = 6 cups

So, He buys 1 quart of milk and one eighth  gallon of milk i.e. 6 cups

Hence Fernando buys 6 cups of milk to make milkshakes for all his friends

Answer:

x = 58

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

114 = 56+x

Subtract 56 from each side

114 -56 = x

58 = x

Answer:

x= 6°

Step-by-step explanation:

∠DEF +∠EFD= ∠EDG

(ext. ∠= sum of int. opp ∠s)

9x +7° +70°= 21x +5°

21x -9x = 77° -5° (bring x terms to one side)

12x= 72° (simplify)

x= 72° ÷12

x= 6° (simplify)

Answer:5 Units

Step-by-step explanation: Just the answer

Answer:

7/8

Step-by-step explanation:

sum = answer to an addition problem

This means we need to add.

To add fractions with like denominators, simply add the numerators, or the numbers above the fraction sign.

9/15 + 5/16

9 + 5 = 14

numerator = 14

Keep the denominator:

denominator = 16

14/16

Simplify:

(divide the numerator and denominator by 2)

14/2 = 7

16/2 = 8

7/8

Therefore, the sum is 7/8.

The sum of the two fractions shown of 9/16 and 5/16 is 7/8.

When adding fractions, if they have the same denominator, you can simply add up the numerators and keep the denominator.

This means that the sum of 9/16 and 5/16 is:

= (9 + 5) / 16

= 14 / 16

You then need to take this to its simplest form by dividing both the numerator and denominator by their highest common factor which is 2.

= (14 ÷ 2 ) / (16 ÷ 2)

= 7 / 8

In conclusion, the sum of these fractions is 7/8.

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Answer:

Step-by-step explanation:

From the figure attached,

A parabola has been graphed.

Vertex of this parabola → (-1, -4) (lowest point)

Axis of symmetry → x = -1 (Parabola is symmetric about the vertical line x = -1 parallel to the y-axis)

x- intercepts (points of intersection of the parabola and x-axis) → (-1, 0) and (1, 0)

y- intercepts (point of intersection of the parabola and y-axis) → (0, -3)

Concavity of the parabola → Concave UP

Answer:

[tex]g(n) = \frac{11}{3} + \frac{5n}{3}[/tex] or g(n) = (11/3) + (5/3)n

Step-by-step explanation:

Equation: [tex]3m - 5n = 11[/tex]

To write a formula for g(n) in terms of n, we have to get m seperately.

[tex]3m - 5n = 11[/tex], add 5n in both sides

[tex]3m - 5n + 5n = 11 + 5n[/tex], now add

[tex]3m = 11 + 5n[/tex], now divide both sides by 3

[tex]\frac{3m}{3} = \frac{11 + 5n}{3}[/tex]

[tex]m = \frac{11}{3} + \frac{5n}{3}[/tex]

Now, replace m with g(n)

[tex]g(n) = m[/tex]

[tex]g(n) = \frac{11}{3} + \frac{5n}{3}[/tex]

Answer:

35 % are herbs

Step-by-step explanation:

7    = 35

20  = 100

for me the answer to that is c

Answer:

4 1/8

Step-by-step explanation:

It is in between the four and 4 1/4 mark, so it is 4 1/8 :)

Answer:

4 1/8

Step-by-step explanation:

I checked it over. My god. Can’t believe I could not figure it out. This is 2nd grade math. No 3rd

Answer: $19.5

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a rectangular prism = width x length x height

Replacing with the values given:

Since 1= 1/12 foot

36 in /12 = 3 foot  (length and wifth)

4 in /12 = 1/3 foot  (height)

V = 3 x 3 x 1/3 = 3ft3

Next, we multiply it by 2 (since there are 2 sections):

3 x 2 = 6 ft3

Finally we multiply it by the cost of each cubic foot:

6 x 3.25 = $19.5

Feel free to ask for more if needed or if you did not understand something.

Answer:

There are 15 numbers of chicken and 25 numbers of bulls.

Step-by-step explanation:

The pen had chickens and bulls.  The pen contains 40 animals in total. The number of legs in the pen is 130 .

Let

a = number of chicken

b = number of bull

a + b = 40................(i)

A chicken has 2 legs and a bull has 4 legs.

The total legs can be represented as

2a + 4b = 130...........(ii)

combine the equation

a + b = 40................(i)

2a + 4b = 130...........(ii)

a = 40 - b

insert the value of a in equation(ii)

2(40 - b) + 4b = 130

80 - 2b + 4b = 130

80 + 2b = 130

2b = 130 - 80

2b = 50

divide both sides by 2

b = 50/2

b = 25

Insert the value of b in equation (i)

a + b = 40

a + 25 = 40

a = 40 - 25

a = 15

There are 15 numbers of chicken and 25 numbers of bulls.

Answer:

Step-by-step explanation:

Yes it is

Answer:

yes

Step-by-step explanation:

because a square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.

also can u plz mark me as brainliest ;w; ^w^

Answer:

A. 15 sq in

Step-by-step explanation:

So it wants to know the area of the yellow face: we have to subtract that chunk cut out of the bottom right from the larger rectangle.

Area = length x width = 4*4 = 16 sq in. This is the area of the larger rectangle.

Area = length x width = 1*1 = 1 sq in. This is the area of the rectangle that's cut out of the yellow area.

16 - 1 = 15 sq in

Answer: i feel like it's 15 length x width x height 4, 8, 12+3=15

Step-by-step explanation:

Answer:

adding 3 zeros or moving the decimal point 3 spaces to the right.

Step-by-step explanation:

Congruent sides, so isosceles triangle.  When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D.   So x=ADB=90 degrees.

Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.

y = 90 - 47 = 43

Answer: x=90, y=43

Answer:

Pls attach an image

Step-by-step explanation:

Press the paperclip and attach an image

Hope this helps!!!

Answer:

figure B is a scale 3:1 image of figure A

Step-by-step explanation:

9/3=3

15/5=3

12/4=3

scale 3:1

Hence triangle is scaled by multiple of 3.

When we talk of two triangles ABC and DEF, they are said to be scaled if both they follow [tex]\frac{A}{D}= \frac{B}{E} =\frac{C}{F}[/tex] where all sides have same common difference.

Let triangles with sides 12,15,9 be ABC and triangle with sides  4,5,3 be DEF.

Now A/D=12/4=3

similarly B/E=15/5=3

and C/F=9/3=3

Hence , triangle is scaled by multiple of 3.

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Answer:

A) 900

B) 5400

C) 3600

Step-by-step explanation:

A) Number of 4 digit multiples of 5:

(9999-1000+1)/5= 1800

[I added one to the 9999-1000 because it includes 9999]

Now, out of those 1800 numbers that are divisible by 5, 900 of them are even. (so they are divisible by 10 [or 5 and 2])

Therefore, the answer to A is 900

B) Number of 4 digit multiples of 2:

(9999-1000+1)/2= 4500

This means that there are 4500 even 4 digit numbers.

We have already figured out that there are 900 numbers that are divisible by both 5 and 2. 1800-900=900 4-digit numbers that are not divisible by 2, but are divisible by 5.

So if we add the 4500 (numbers that are divisible by 2) and the 900 (numbers that are only divisible by 5, but not 10), we get 5400.

C) There are 9999-1000+1= 9000 4-digit numbers. We know that there are 5400 numbers that are divisible by either 5 or 2, so 9000-5400=3600

Feel free to ask any questions! :)

Answer:

Yeet so you can give him

Step-by-step explanation:

Answer:

± 14.

Step-by-step explanation:

If we plug √196 into the calculator, we get 14.

However, every square contains a negative square root as well since multiplying two negative numbers together results in a positive number.

Therefore:

Both 14 × 14 and -14 × -14 are equal to 196.

Answer:

b=3

Step-by-step explanation:

2a=3b and 4a+b=21,

Multiply the first equation by 2

2(2a) = 2*3b

4a = 6b

Substitute this into the second equation

4a+b = 21

Replace 4a with 6b

6b+b = 21

Combine like terms

7b = 21

Divide each side by 7

7b/7 = 21/7

b = 3

Answer: Mean = 52.8 mins

Step-by-step explanation:

We have lapses of 30 minutes, so we can write the average for each, this means that:

0 < t < 30 can be averaged to the middle of the range: 15 min.

Doing this, we have that:

7 students 15 min

27 students 45 min

12 students 75 min

4 students 105 min.

Now we can calculate the mean:

mean = (x1*n1 + x2*n2 + ...)/N

where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students

Mean = (7*15min + 27*45min + 12*75min + 4*105min)/(7 + 27 + 12 + 4)

Mean = 52.8 mins

Answer:

8*15 + 3*5

Step-by-step explanation:

The CD's are 15 dollars each

She buys 8

8*15

The tapes are 3 dollars each

She buys 5

3*5

Add them together

8*15 + 3*5

Answer: 7 sessions

Step-by-step explanation:

Hi, to answer this question, first we have to add the time Juan spent practicing in the afternoon and the morning:

24 +22 = 46 hours

Finally, we have to divide the total by the  duration of each session (6 hours)

46 /6 = 7.6 = 7 full sessions (since 0.6 is not a full session)

Feel free to ask for more if needed or if you did not understand something.

Answer:

the first one

Step-by-step explanation:

The correct option is B, k || n and n ⊥ m statement is true regarding the parallel and perpendicular lines in the diagram.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.

Parallel lines are lines in a plane that are always the same distance apart.

The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees

When the distance between the lines is constant then the lines are called parallel lines.

The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

In the graph, the line k is parallel to the line n and the line n is perpendicular to line n.

k || n and n ⊥ m.

Hence, the correct option is B, k || n and n ⊥ m statement is true regarding the parallel and perpendicular lines in the diagram.

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Answer:

the answer is 12 times

Step-by-step explanation:

to get from 2 to 6, you have multiply 2 by 3 for 6. so 4 times 3 is 12, and also just 6 times 2 can do it too!

Answer:

40 hours

Step-by-step explanation:

9x + 40 = 400 (with x being how many hours she has worked). We get rid of the 40 on both sides by subtraction. Our new equation is 9x = 360. Now we divide 9 on both sides and we learn that x = 40.

Answer:

210 cm³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Let's substitute the given values into this equation:

V = lwh

V = (5)(6)(7)

Multiply:

V = (5)(6)(7)

V = (30)(7)

V = 210

Therefore, the volume of the prism is 210 cubic centimeters.

Answer:

7ax2+14ax−x2−35a−2x+5

Step-by-step explanation:

(7a+−1)(x2+2x+−5)

=(7a)(x2)+(7a)(2x)+(7a)(−5)+(−1)(x2)+(−1)(2x)+(−1)(−5)

=7ax2+14ax−35a−x2−2x+5

=7ax2+14ax−x2−35a−2x+5

Answer:

Step-by-step explanation:

(7a - 1) (x² +2x -5) =7a*((x² +2x -5) + (-1)*(x² +2x -5)

                           = 7a*x² + 7a*2x + 7*(-5) +(-1)*x² +(-1)*2x + -5*-1

                           = 7ax² + 14ax - 35 - x² -2x + 5

                           = 7ax² - x² + 14ax - 2x  -30