Answer:
distance of his partner from the base of the tower ≈ 53.6 ft(nearest tenth)
Step-by-step explanation:
The forest ranger is on top of a fire tower and he sees his partner on the ground at the angle of depression of 40°. The tower is 45 ft tall.
The illustration forms a right angle triangle.
The adjacent side of the triangle is the distance from the partner to the base of the tower.
Using tangential ratio
tan 40° = opposite/adjacent
tan 40° = 45/adjacent
cross multiply
adjacent tan 40° = 45
divide both sides by tan 40°
adjacent =45/tan 40°
adjacent = 45/0.83909963117
adjacent = 53.6289116667
distance of his partner from the base of the tower ≈ 53.6 ft
on a piece of paper,graph this system of inequalities then determine which answer choice matches the graph you drew and identify the number of solutions
y<3/2x-2
y<3/2x -8
Answer: b infinite number of solutions (blue and purple)
Step-by-step explanation:
There will be multiple solution for both inequality.
What is inequality?Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.
According to the question
y<3/2x-2 ---------- (1)
y<3/2x -8 -----------(2)
to take out points we have to take (1) as y= 3/2x-2
x y
-4 -8
-2 -5
0 -2
2 1
4 4
6 7
same for (2) we take y=3/2x -8
x y
-2 -11
0 -8
2 -5
4 -2
6 1
Then we plot our graph which is shown in sheet attached
According to the graph we can see that they both are parallel to each other now we will shade left hand side of line as per the inequality
when we shade we will observe that points left side of equation (2) are common in both .
Hence, there will be multiple solution .
To know more about inequality here :
https://brainly.com/question/15137133
# SPJ2
What is the volume?
1 ft
1 ft
1 ft
cubic feet
Submit
Answer:
1^3 cubic feet
Step-by-step explanation:
How do you write this number using digits?
five hundred six thousand eight hundred twenty-seven
Please help urgentttttttt
Answer:
The best answer would be C
Step-by-step explanation:
The square has two parallel lines and the rhombus has parallel lines as well. And when you turn the square, it looks like a rhombus. They are both parallelograms and quadrilaterals.
Hope this helps
3x - 8y = 1
6x + 5y = 12
Answer:
1/2
Step-by-step explanation:
Em uma perfumaria, um cliente pode montar um kit formado por um sabonete, um hidratante e um perfume. A loja possui 5 opções de sabonete, 8 de hidratante e 4 de perfume. Quantos kits diferentes um cliente poderá formar na perfumaria?
Answer:
The customer can form 160 different kits in the perfumery
Step-by-step explanation:
Here, we are interested in knowing the number of different kits a customer can form in the perfumery.
Now since each kit contains 1 each of moisturizers, soaps and perfume, what will happen is that we are going to select one each of the options
This means we shall be selecting 1 out of 5 soaps, 1 out of 8 moisturizer and 1 out of 4 perfumes
Mathematically, the number of ways we can select r items out of a total of n can be calculated as nCr
Applying this in the case we have;
It would be;
8C1 * 5C1 * 4C1
where
8C1 = 8, 5C1 = 5 and 4C1 = 4
Thus the number of options we have will be
= 8 * 5 * 4 = 40 * 4 = 160 kits
Responda:
O cliente pode formar 160 kits diferentes na perfumaria
Explicacao/etapas:
= 8 * 5 * 4 = 40 * 4 = 160 kits
espero que tenha ajudado! :) ......... tchau!
The diagram represents an 11 cm by 6 cm rectangular
What is the answer?
Answer:
See below.
Step-by-step explanation:
If you need the area it is 11 * 6 = 66 cm^2.
The perimeter is 2*11 + 2*6 = 34 cm.
whats 2x-15=20?
best answer plez
Answer:
x= 17.5
Step-by-step explanation:
add 15 on both sides
divide 2 on both sides after
While in the library, 44 students checked out animal books, 28 students checked out mystery books, and twice as many students who checked out mystery books checked out joke books. Which of the following is a good estimation of the total number of books checked out?
Answer:
128
Step-by-step explanation:
44+28+(28x2)=128
STRUCTURE Write the ratio of the side lengths of the two cubes described in simplest form.
The volumes of the two cubes are 270x cubic inches and 32x2 cubic inches.
The surface areas of the two cubes are 6x4 square feet and 6(x + 1) square feet.
After a party, 14 of a pan of lasagna is left over. If the leftover lasagna is divided equally among 4 containers, how much leftover lasagna will be in each container?
Answer: Once spliting and sharing the lasagna, there will be 3 1/2 or 3.5 left. :)
PLEASE HELP!!!! I HAVE TO GO TO SOFTBALL SO I HAVE TO HURRY!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!
A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.
What is the volume of the water tank?
Enter your answer as a decimal in the box. Use 3.14 for π.
Answer:
Step-by-step explanation:
The volume formula for a cylinder is
[tex]V=\pi r^2h[/tex]
In order to find the radius we need to use the circumference we were given. The formula for the circumference is
[tex]C=2\pi r[/tex]
Filling in the info about the circumference value of 87.92:
[tex]87.92=2(3.14)r[/tex] or
87.92 = 6.28r so
r = 14
Now that we know the radius we can fill in the volume formula:
[tex]V=(3.14)(14)^2(160)[/tex] and
V = 98470.4 cm cubed
what will be the another acute angle of right angle triangle is its one acute angle is 30 degree
Answer:
60°
Step-by-step explanation:
90+30=120°
180-120=60°
Step-by-step explanation:
all sides of a triangle = 180
all sides of a triangle = 180
So 2 angle i.e. 90° (right angle) and 30° (given) and let third angle be x
so equation forms like
180 = 90+30+x
180 =120+x
180-120 =x
60 =x
SO THE ANSWER WILL BE 60°
HOPE IT WILL HELP YOU ☺️
Why does the graph not start at zero
Answer:
OPTION B
Step-by-step explanation:
A PERSON HEIGHT IS NOT ZERO WHEN BORN
Find the domain of the function
Answer:
all real numbers
Step-by-step explanation:
The domain of the function is what numbers can be put in for x
X can be any value. There are no restrictions, since there is no denominator or exponent
What is the square route of 25
Answer:
The answer to your question is 5.
Step-by-step explanation:
the shape of a toy cylinder has a radius of 5cm and height of 8cm on top a hemisphere of radius 5cm , calculate the volume of the toy
someone should pls help me
Answer:
890.1 cm^3
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr^2h
Filling in the given numbers, we find the volume of the cylinder to be ...
V = π(5 cm)^2(8 cm) = 200π cm^3
__
The volume of a hemisphere is given by the formula ...
V = (2/3)πr^3
Filling in the given radius, we find the hemisphere volume to be ...
V = (2/3)π(5 cm)^3 = 250π/3 cm^3
__
The total volume of the toy is presumed to be the sum of these volumes, so is ...
toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3
toy volume ≈ 890.1 cm^3
100 POINTS!!!
9. A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left? (t, u) → (t + 3, u + 8) (t, u) → (t – 3, u + 8) (t, u) → (-t – 3, u + 8) (t, u) → (t + 8, u – 3)
Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
Answer:
above me she/he right!!
Step-by-step explanation:
can someone help me expand this polynominal?
Answer:
Step-by-step explanation:
( 5 - x) ( 4-x )
=5(4-x)-x(4-x)
=20-5x-4x+x^2
=x^2-9x+20
hope it helps...
。☆✼★ ━━━━━━━━━━━━━━ ☾
Multiply first two values in brackets:
5 x 4 = 20
Multiply the outside values in the brackets:
-x * 5 = -5x
Multiply the inside terms:
-x * 4 = -4x
Multiply the last terms:
-x * -x = x^2
Place all values together:
x^2 - 5x - 4x + 20
Simplify it:
x^2 -9x + 20
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
。☆✼★ ━━━━━━━━━━━━━━ ☾
If a triangle has sides of 8,11, and 13. Is it a right triangle?
If a² + b² = c², then the triangle is right.
So we have (8)² + (11)² ? (13)²
(8)² is 64, (11)² is 121, and (13)² is 169.
So we have 64 + 121 ? 169
64 + 121 is 185 and we can see that 185 > 169.
This triangle would not be a right triangle.
In fact, it would be an acute triangle.
So no, it's not a right triangle.
Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 3x + 6
A. (x2 + 2)(x+3)
B. (x2 + 3)(x+3)
C. (x2 + 2)(x + 2)
D. (x + 3)(+ 2)
Answer:
D. (x2 + 3)(x+ 2)
Step-by-step explanation:
When x3 + 2x2 + 3x + 6 is grouped, it is simplified to (x2 + 3)(x + 2).
URGENT
classify the following triangle check all that apply.
A. obtuse
B.Isosceles
C.Scalene
D.Acute
E.Right
F.Equilateral
Answer:
Scalene, Acute
Step-by-step explanation:
Scalene because each side has a different length
obtuse because one angle is more than 90°
The solutions to the equation -4|x + 9= -8 are:
A)7, 11
B)7, -11
C)-7, 11
D)-7, -11
a)
Factorise fully
2p - 4pq
b)
Factorise
r? - 100
c)
Factorise k2 + 13k + 30
d)
Solve
K + 13k + 30 = 0
a) 2p(1-2q)
b) dunno
c) k(2+13+30)
d) I’m not sure
Answer:
a) 2p(1-2q)
b) don't know what you mean by r?
c) (k+3)(k+10) using the S, P, N method
d) k²+13k+30=0
(I think you meant to write k squared as it makes more sense)
k=2
PLEASE HELP ME ASAP!!!
Answer:
Step-by-step explanation:
When equal bases are multiplied, the powers add.
The bases of both expressions is x.
The powers are 5 and 7.
The answer is x^(5 + 7) = x^(12)
What is the equation of the line shown
Answer:
the answer is y = x-5
which of these triangles is definitely not congruent to any of the others?
Answer:
A: triangle 4
Step-by-step explanation:
all other triangles have a right angle and triangle number 4 doe not
Simplify (2x-3)(2x-2)
Answer:
We get the final answer of -4x + 6
Step-by-step explanation:
Let's simplify step-by-step.
2x −3(2x−2)
Distribute:
= 2x+ (−3)(2x) + (−3)(−2)
= 2x+ −6x + 6
Combine Like Terms:
= 2x + −6x + 6
= (2x + −6x) + (6)
= -4x + 6
What is the answer to -4+(-4)??
Solution,
-4+(-4)
= -4-4
=-8
Hope it helps
Good luck on your assignment
Answer:
-8
Step-by-step explanation:
-4 plus -4 equals -8.
The diagram shows squares 1, 2, and 3 constructed on the sides of a right
triangle.
Answer:
I think D but I'm not sure about that
Answer:
D
Step-by-step explanation: