Answer:
y(t)= 10 (2)^t
Step-by-step explanation:
If t is the number of years given then the expected number can be found by
y(t)= 10 (2)^t
where t takes the value 0,1,2,3, and so on.
Putting t= 0
y(t)= 10 (2)^t
y(0)= 10 (2)^0
y(0)= 10 For the start the number of deer are 10.
Putting t= 1
y(t)= 10 (2)^t
y(1)= 10 (2)^1
y(1)= 20 After 1 year it has doubled to 20
Putting t= 2
y(t)= 10 (2)^t
y(2)= 10 (2)^2
y(2)= 40 After 2 years it has again doubled to 40
Putting t= 3
y(t)= 10 (2)^t
y(3)= 10 (2)^3
y(3)= 80 After 3 years it has again doubled to 80
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
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Help please do at 11
Answer:
Step-by-step explanation:
area = [tex]\pi[/tex][tex]r^{2}[/tex] so it's [tex]\pi[/tex][tex]7^{2}[/tex] = 153.938... [tex]cm^{2}[/tex]
circumference is 2[tex]\pi[/tex]r = 2*[tex]\pi[/tex]*7 = 43.98229 cm
if the measure of angle 1=105 degrees what is the measure of angle 3
Step-by-step explanation:
Since it is a parallelogram,
opposite angles are equal, hence,
angle 1 = angle 3 = 105°
Which of the following are solutions to the inequality below? Select all that apply.
k ≥ 2
Answer:
as there are no choices I will explain k is 2 or bigger
Step-by-step explanation:
≥ means the number to the left is bigger or the same as the other so that means k is 2 or bigger
You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?
Answer:
Step-by-step explanation:
1 10
Can some please help me immediately
Answer:
Step-by-step explanation:
6x+4=52
-4 -4
6x/6=48/6
x=8
Answer:
-4 -4
6x=48
Explanation
Rotate the figure shown 180° clockwise. Record the
coordinates of the image.
find the distance between M (-1,-1 ) and H (1,-2)
Answer:
sqrt(5)
Step-by-step explanation:
I hope this helps
A restaurant worker was told to make every ham sandwich with 2 tomato slices and 3 pickle slices.
Select all the true statements
A. A worker makes 3 ham sandwiches. Taken together, the sandwiches will have a ratio of total number of tomato slices to total number of pickle slices of 6 : 9.
B . For every ham sandwich, the ratio of tomato slices to pickle slices is 3 : 2.
C . A worker makes 5 sandwiches. The ratio of total number of tomato slices to total number of pickle slices is 7 : 8.
D . On every ham sandwich the ratio of tomato slices to pickle slices is 2 : 3.
E. Once a ham sandwich is made, there will be a ratio of 2 tomato slices to 1 ham sandwich.
Answer:
Its A and D
Step-by-step explanation:
Trust me ;)
Which of these is correct?
Answer:
b is the answer I thought
pls show work will give brainliest
Solve the formula for the variable x.
y=mx+b
help plz :<<<<<<<<<<<<
Answer:
can you make the question more clear please
Can someone answer just this one? Thank you :)
Answer:
7
Step-by-step explanation:
(a+b)/2 x h
42 = (8+4)/2 x h
42 = 6h
h = 7
Answer:
height = 6.92820323028km (you can round if you want to)
Step-by-step explanation:
8km - 4km = 4km (this is for one of the side lengths of the traingle)
a² + b² = c²
4² + b² = 8² (b will be used to represent the height)
16 + b² = 64
b² = 48
b = 6.92820323028km
7th grade math help me pleaseeee
3(4+n)
Step-by-step explanation:
3(4+n)=12+3n
If you are given three lengths of wood at 5 feet, 8 feet and 9 feet to form the perimeter of a triangular garden, what type of triangle will be formed?
It will form scalene triangle
because it has different measures of sides
that is no equal side
may thishelps you
byr
the drawing below shows the dimensions of skims kite what is the area of Kim's kite
Answer:
48 square inches
Step-by-step explanation:
Given
See attachment for kite
Required
The area of the kite
The given kite has a triangular shape.
So, the area is:
[tex]Area = 0.5 * base * height[/tex]
From the attachment
[tex]base = 12in[/tex]
[tex]height = 8in[/tex]
So:
[tex]Area = 0.5 * 12in* 8in[/tex]
[tex]Area = 48in^2[/tex]
The measure of c is _____
3 squared 5
9 squared 5
3 squared 13
5 squared 3
Answer:
3 squared 13 took the test
Step-by-step explanation:
Answer:
3 squared 13
reason:
you should know this if you tooktn notes
what is the solution to the inequality 3x-42>3
Answer:
x > 15
Step-by-step explanation:
Try to get x on a side by itself...
3x - 42 > 3
3x > 45
x > 15
Set A
Set B
. .
...
....
0 2 4 6 8
2 4 6
810
O A. The typical value and the spread are both greater in set B.
B. The typical value and the spread are both greater in set A.
O C. The typical value is greater in set B. The spread is greater in set A.
D. The typical value is greater in set A. The spread is greater in set B.
Answer:
I believe C is the correct answer, please let me know if it is wrong
In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?
Answer:
Q'R'
Step-by-step explanation:
Given
Quadrilateral PQRS
Reflected over x-axis
Required
Congruent side to QR
This question has a missing attachment, but can still be solved without the attachment.
When a shape is reflected, the sides and the angles of the shape remain unchanged.
This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.
[tex]PQ = P'Q'[/tex]
[tex]QR = Q'R'[/tex]
[tex]RS = R'S'[/tex]
[tex]SP = S'P'[/tex]
Hence, QR will be congruent to Q'R'
A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?
Answer:
180
Step-by-step explanation:
6(5)(3)(2) = 180
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler
1. (1, 1) and (7, 5)
2. (1, 1) and (5, 7)
3. (2, 5) and (-1, 2)
4. (2, 5) and (-7, -4)
I will mark you brainiest if you can answer this
Find the value of y that makes the equation y = 8 – 2x true, when x = 3. A. 2 B. 5 C. 6 D. 8
Answer:
so first you would find out the whole equation after you plug in x and it would be
y=8-6
y=2
so the answer is A. 2
The value of y is 2.
The correct option is (A).
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given equation is: y = 8 – 2x.
So, when x=3
y= 8-2*3
=8-6
= 2.
Hence, the answer is A. 2
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Can someone help me please
Answer: A
Step-by-step explanation:
She uses 3/4 of the Gas which would be multiplication then she fills with 5 which is addition
find the end time
start time: 3:46pm
elapsed: 2h 20min
A stop sign is in the shape of an octagon. Find the perimeter if each side is 2a + 1 units
Given,
Side of the octagon = ( 2a + 1 ) units» Perimeter means total length of its boundary.
→ Octagon has 8 sides.
So,
→ Perimeter of Octagon = Length of 8 sides
→ Perimeter of Octagon = 8 ( 2a + 1 ) units
→ Perimeter of Octagon = 16a + 8 units
Therefore,
Perimeter of the octagon is [tex] \bf 16a + 8 [/tex] units.Step-by-step explanation:
Side of the octagon
An octagon has 8 sides. Each side is 2a + 1 units.
8(2a + 1)
= 16a + 8
A cylindrical mailing tube has a volume of 311 cubic inches and a radius of 3 inches Using 3.14 for , what is the length of the cylinder rounded to the nearest whole number? 033 O 10 O 11 O 3
Answer:
33
Step-by-step explanation:
If the sub shop sells at least 35 subs in a day, they make a
profit. Write an inequality for the number of subs, s, they
must sell in a day to make a profit.
A tree casts a shadow of 28 m. The elevation of the sun is 49º. How tall is
the tree?
Answer:
50 M SINCE 50/(length of shadow)=tan49,
Length of shadow=50/tan49=28
I THINK
Step-by-step explanation: