Answer:
A. 18.94
Step-by-step explanation:
57.79 (Original Price) - 38.85 (Sale Price) = 18.94 (Difference)
geometry help
answer choices:
24
12
82
59
The measure of the angle ∠A will be 12°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.
From the diagram, the equation is given as,
∠A = (arc DE - arc BC) / 2
∠A = (94° - 70°) / 2
∠A = 24° / 2
∠A = 12°
The measure of the angle ∠A will be 12°. Then the correct option is B.
More about the circle link is given below.
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Write an equation for the line that passes through (−8.5,11) and (5,−2.5)
y = -x + 2.5
slope formula:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
find slope:
[tex]\rightarrow \sf \dfrac{-2.5-11}{5-(-8.5)}[/tex]
[tex]\rightarrow \sf \dfrac{-13.5}{13.5}[/tex]
[tex]\rightarrow \sf -1[/tex]
equation formula:
[tex]\sf y_1-y = m(x_1-x)[/tex]
find equation:
[tex]\hookrightarrow \sf y-11=-1(x-(-8.5)[/tex]
[tex]\hookrightarrow \sf y-11=-x-8.5[/tex]
[tex]\hookrightarrow \sf y=-x-8.5+11[/tex]
[tex]\hookrightarrow \sf y=-x+2.5[/tex]
Slope:-
m=-2.5-11/5+8.5m=-13.5/13.5m=-1Equation in point slope form
y-11=-1(x+8.5)y-11=-x-8.5y=-x+2.5What to do: Complete each of the following problems involving ladders and walls by using trigonometric functions and inverse trigonometric functions to determine unknown lengths and angle measures.
Questions:
a) A ladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
b) A 15 foot ladder is leaned against a wall so that the bottom of the ladder forms a 75 degree angle with the ground. How far up the wall does the ladder reach?
c) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house.
Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle?
How you must answer:
- Sketch:
-We know:
-We want
-Rationale: Which ratio will you use and why?
-Solution
How do you answer:
= you must include an accurate sketch
= a statement identifying the known information - we know
= a statement that tells what you are solving for - we want
= the equation you used to solve the problem
Answer:
Step-by-step explanation:
a) x be the height of the wall
[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]
b) Let y be the hieght of the wall
[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]
y = 14.6 ft
c) Let the angle formed between the bottom of the ladder to the ground be 'x'
[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]
x = 81°
No, the angle formed between the ground and the ladder is not safe as it is more than 70°
Let the farthest possible distance ladder placed from the wall be 'y'
[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]
y = 6 ft
6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.
can someone please help with this one question thank you !!
2 feet.
to find:how many square feet of wood he used to build the box.
solution:each side measures 2ft.
A=L²=(2 ft)²=4 ft²
A cube has 6 sides so the total quantity of wood is:
Wood=6×A
=6×4 ft²
=24 ft²
he used 24 ft² of wood to build the box.
Find the surface area of this figure.
Answer:
57 inches^2 is the answer buddy
Step-by-step explanation:
BxH divided by 2
What's the circumference of a circle with a diameter of 16 inches
A clothing store sells shirts with long, short, or no sleeves. Each style is available in gray, red, or pink. A clerk incorrectly states the sample space for the possible color and sleeve styles as (gray, long), (gray, short), (red, long), (red, short), (pink, long), and (pink, short). Use a table to show the sample space. What error did the clerk make?
Need asap
If x = 5, then 3x + 4x - 15 equals:
A. 20
B. 15.
c. 40
D. 50
E 10
Answer:
20
Step-by-step explanation:
Given:
x = 5Substitute the value of x into the expression:
⇒ 3x + 4x - 15
⇒ 3(5) + 4(5) - 15
Simplify the expression:
⇒ 15 + 20 - 15
⇒ 15 + 5
⇒ 20 (Option A)
Answer:
A. 20
given function:
3(x) + 4(x) - 15put x = 5
3(5) + 4(5) - 15simplify
15 + 20 - 15answer
20Two hens lay two eggs in two minutes. If this is the maximum speed, what is the total number of hen needed to lay 500 eggs in 500 minutes
1 hen lays 1 egg in 2 minutes
You need 250 chickens
The total number of hen needed to lay 500 eggs in 500 minutes = 2
What is unitary method ?"A process of finding the value of a single unit, and based on this value we can find the required value. "
For given question,
Two hens lay two eggs in two minutes.
This means, two hens lay 1 egg per minute
So, they lay 500 eggs in 500 minutes.
Therefore, the total number of hen needed to lay 500 eggs in 500 minutes = 2
Learn more about the unitary method here:
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If ∠AOC = (4x -16) and ∠BOC = 2(x + 20), Determine the value of x.
Answer:
x = 28
Step-by-step explanation:
4x-16 = 2(x+20)
4x-16 = 2x+40
Divide 2x from each side:
2x-16 = 40
Add 16 to each side:
2x = 56
Divide each side by 2:
x = 28
Instructions: Given the figure, what is the angle of rotational symmetry?
Answer:
180°
Step-by-step explanation:
The Angle of Rotational Symmetry is the degree of rotation required to make the shape look like the original.
If you rotate it once by 90°, it will look completely different.
However, if you rotate it again by 90°, it looks identical to the original.
90° + 90° = 180°
Find the volume of a prism with base area 32 cm2 and height 1.5 cm.
Answer: 48
Step-by-step explanation:
2 Find the area of each trapezoid.
Answer:
You're missing an attachment :)
If you want an answer, I suggest you upload a picture, or provide more information, thank you.
Using the net below, find the surface area
of the triangular prism.
4 cm
3 cm
6 cm
4 cm
6 cm
3 cm
5 cm
4 cm
Surface Area = [?] cm2
6. The table below represents the number of
donut holes per box at Damon's Donuts. What
is the median number of donut holes?
# OF DONUT
HOLES
22
23
24
25
FREQUENCY
1
2
3
2
A. 23
B. 23.75
C. 24
D. 24.5
Solve this Distributed property 2(3x+5)
Answer: x = -.6
Step-by-step explanation:
2(3x+5) = 6x + 10
10 = -6x
x = -.6
Classify as acute,obtuse, right,straight or reflex.
Answer:
That would be a right angle.
Step-by-step explanation:
you can tell from the little square on the angle which always means that it is a right angle.
need help hurry!!!!!
Answer:
y=3x
Step-by-step explanation:
Okay first you need to solve this. Distribute the 3 first to the parantheses and you get y+3=3x+3. Than you subtract 3 and get y=3x. Now you start at 0,0 the origin and go 3 units up and 1 unit to the right. Continue that until a line shows. Same with the bottom. Go down 3 left one.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
76 in²
Step-by-step explanation:
Area of the figure
Area (top rectangle) + 2 x Area (bottom rectangle)12 x (7 - 2) + 2 x 2 x 412 x 5 + 1660 + 1676 in²i need help with this i will give 100 pt
Answer:
1. Where you shop at
2. The tax in the state you live in.
Hope this helps!
Answer:
1. Where you shop at2. The tax in the state you live in.
Step-by-step explanation:
Identify the solution to the system of equations
{x=-2y-6 -3x-7y=18
Answer:
(- 6, 0 )
Step-by-step explanation:
x = -2y - 6 → (1)
- 3x - 7y = 18 → (2)
substitute x = - 2y - 6 into (2)
- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side
6y + 18 - 7y = 18
- y + 18 = 18 ( subtract 18 from both sides )
- y = 0 , then
y = 0
substitute y = 0 into (1)
x = - 2(0) - 6 = 0 - 6 = - 6
solution is (- 6, 0 )
Answer:
(x, y) = (-6, 0)
Step-by-step explanation:
A system of equations is easily solved using a graphing calculator. The attached shows the solution to be ...
(x, y) = (-6, 0)
__
The first equation gives a convenient expression for substituting for x in the second equation:
-3(-2y -6) -7y = 18
18 -y = 18 . . . . . . . . simplify
y = 0 . . . . . . . . add y-18
x = -2(0) -6 = -6
The solution by substitution is (x, y) = (-6, 0).
Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))
Answer:
-1
Step-by-step explanation:
First, we need to work out the left-hand side.
find g(2) → g(2) = 2 - 1 which is 1next, find f(1) → f(1) = 1³ which is 1Now, we can work out the right hand side.
find f(-1) → f(-1) = -1³ which is -1then, find g(-1) → g(-1) = -1 - 1 = -2Finally we can work out the full sum: 1 + -2 = -1.
Hope this helps!
What is the mean of 75,14,48,81,39,67,33,19
Answer:
47
Step-by-step explanation:
To find the mean, you sum all the numbers, then count the number of numbers you summed up (amount of numbers in the array which in this case is 8) and then divide the two. So you get
Σarray/arraysize = 75+14+48... / 8
Answer:
Mean = 47
Step-by-step explanation:
Given terms :
7514488139673319The mean is equal to the sum of the terms divided by the number of terms.
Therefore, the mean is equal to :
75 + 14 + 48 + 81 + 39 + 67 + 33 + 19 / 8 [Take terms that add up to 100, makes it easier to calculate!]100 + 100 + 89 + 87 / 8200 + 176 / 8376/8Mean = 47Expand & simplify
4
(
g
+
4
)
−
6
(
g
+
2
)
Answer:
i dont know I have the same questions aswell
If q is inversely proportional to p and q =120 and p=2
Answer:
complete your question please
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
One
Two
Infinitely many
Answer:
infinitely many
Step-by-step explanation:
5x+3(x-1)=10x-2x-3
5x+3x-3=10x-2x-3
8x-3=8x-3
PLEASE FULL EXPLANATION!!!
Angle Terminology with Equations
Delta Math:
Answer:
m∠A = 19°
vertical angles are of same measure.
⇒ so given m∠A = m∠B
Find x
3(x) + 13 = 5(x) + 93(x) - 5(x) = 9 - 13-2(x) = -4x = 2Then find m∠A
3(x) + 13°3(2) + 13°6° + 13°19°Answer:
19°That's your answer
Step-by-step explanation:
So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.
Now we are given 2 angles.
Angle A and Angle B
Angle A= (3x+13) degrees
Angle B=(5x+9) degrees
Knowing that and that they measure the same just put them equal to each other……
3x+13=5x+9
Given the equation just solve…..
Lets subtract 9 from 13
Then Subtract 3x
Then Divide by 4
3x+13=5x+9
3x+4=5x
4=2x
x=4/2 =2
x= 2
We now Know X is equal to ½ but we still need to figure out the measure of angle A
Angle A= 3x+13
So just plug in
3(2) +13= 19° :)
SonicIsCoool on you tube scratch and much more....
if you need any help i'm at your service.... :)
100 POINTS What is the IQR for the data set?
{31, 76, 34, 35, 39, 49, 55}
Drag and drop the correct answer into the box.
IQR
set : {31, 76, 34, 35, 39, 49, 55}
arrange ascending to descending:
{ 31, 34, 35, 39, 49, 55, 76 }
given,
first quartile: 34third quartile: 55I.Q.R:
interquartile range : third quartile - first quartile 55 - 3421Answer:
21
Step-by-step explanation:
Place the numbers in order from smallest to largest:
31, 34, 35, 39, 49, 55, 76
The median (Q2) is the middle value = 39
Q1 is the middle value of the numbers smaller than the median = 34
Q3 is the middle value of the numbers larger than the median = 55
IQR = Q3 - Q1
= 55 - 34
= 21
There were 15 birds in the park. Some (n) of them flew away. Which expression could be
used to figure out how many birds are still remaining in the park?
Answer:
15-n
Step-by-step explanation:
subtract the number that flew away from the total number of birds that were there
Find the perimeter of the composite figure
Answer:
88 inches
Step-by-step explanation:
Divide the shape into 2 shapes and add all side lengths.
20+8+8+16+12+24=88