Answer:
Part A
71°
Part B
The ladder is been used safely
Step-by-step explanation:
Part A
We solve the above question using Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = The distance between the house and the bottom of the ladder = 4 feet
Hypotenuse = Length of the ladder = 12 feet
x = Angle
Hence:
cos x = 4/12
cos x = 1/3
x = arc cos (1/3)
x = 70.528779366°
Approximately to the nearest degree
= 71°
Part B
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?
Angle x = 71°
Therefore, the ladder is been used safely
Write the first 6 terms of each pattern. a) Start at 100. Subtract 6 each time. b) Start at 10. Alternately, add 5 then subtract 2.
Answer: The first 6 terms startng with the first term already given for each question are a) 100, 96. 90, 84, 78,72 b) 13, 16, 19,22,25, respectively
Step-by-step explanation:
A) first 6 terms
a) Start at 100. Subtract 6 each time
First term = 100
2nd term = 100-6= 96
3rd term = 96-6=90
4th term= 90- 6= 84
5th term = 84-6= 78
6th term 78-6= 72
100, 96. 90, 84, 78,72.
b) Start at 10. Alternately, add 5 then subtract 2
First term = 10
2nd term = 10+5 -2= 13
3rd term = 13+5-2=16
4th term= 16+5-2=19
5th term = 22+5-2= 25
10, 13, 16, 19,22,25
4)
Solve the equation for x.
x + 19 = 42
A)
x = 23
B)
X = 61
C)
X = -23
D)
X = -61
Answer:
23
Step-by-step explanation:
do 42-19 helps me solve it because if you do subtract it most the time I think it will work
Does the number line below represent the solutions to the inequality I > -2?
Step-by-step explanation:
A because the thing on -2 Is that
find the simple interest and amount when principal is equals to rupees 1500 rate is equals to 12% per annum and time will be three years and three months
Answer:
585
Step-by-step explanation:
3 years + 3 months
=3years + 3/12 years
=3years + 1/4 years
=13/4 years
SI = 1500× 12/100 × 13/4
= 585
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
Round 58800 to the nearest cent
Answer:
What if I just say no? What you gonna do about it? Cry?
Step-by-step explanation:
is 6 a factor of 32z+8 ?
Answer:
nope, 6 is not a factor of 32z + 8
Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube.
Answer:
10 half unit cubes
Volume = 1 1/4 unit³
Step-by-step explanation:
Volume of rectangular prism = Length * width * height
From the dimensions given in the picture :
Volume = 1 * 1/2 * 2 1/2
Volume = 1 * 1/2 * 5/2
Volume = 5/4 unit³
Volume = 1 1/4 unit³
Number of half unit cube per unit³ = 8
Total number of half unit cubes that will fill it:
Number of half unit cube per unit³ * volume
8 * 5/4
= 40 /4
= 10
WILL GIVE BRAINLIEST!
the following.
a number added to the product of three and the number
Translate into a variable expression. (Use x for your variable. Do not simplify.)
Answer:
x+3x=
Step-by-step explanation:
x is your number
added to 3 times that same number which again is x
equals whatever the answer is
Divide using polynomial long division. (x3 + x2 + x + 2) / (x2 - 1) =
Answer:
Step-by-step explanation:
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
The quotient for the given polynomial is x + 1.
The remainder for the given polynomial is 2x + 3.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
Divide using polynomial long division.
(x³ + x² + x + 2) / (x² - 1)
This can be written as,
x² - 1 ) x³ + x² + x + 2 ( x + 1
x³ - x
(-) (+)
x² + 2x
x² - 1
(-) (+)
2x + 3
Thus,
The quotient for the given polynomial is x + 1.
The remainder for the given polynomial is 2x + 3.
Learn more about polynomials here:
https://brainly.com/question/2284746
#SPJ2
Janet buys 12 pens for $5.88. What is the cost per pencil?
An artist is creating a structure for the bull by store in the shape of sphere the sculpture will be filled with it seem it and has a diameter of 24 inches use to approximate the volume of sculpture in cubic inches to the nearest hundredth
Answer:
[tex]V=7238.22\ \text{inches}^3[/tex]
Step-by-step explanation:
The diameter of a sphere, d = 24 inches
Radius, r = 12 inches
We need to find the volume of sculpture which is in the shape of sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi \times (12)^3\\\\V=7238.22\ \text{inches}^3[/tex]
So, the volume of the sculpture is [tex]7238.22\ \text{inches}^3[/tex].
‼️‼️Find the volume of the cylinder.‼️‼️
HEIGHT: 2cm
DIAMETER: 8cm
Exact: ?
Approximate volume: ?
Answer:
v=2πrh
r=d/2=8/2=4
Therefore, V=2×3.142×4×2= 50.272 ans.
what is the value of x?
2√2=x
Answer:
2.828427125
Step-by-step explanation:
plz help ill mark you. IF YOU ANSWER THIS ILL GIVE YOU 100 POINTS
Answer:
hii
Step-by-step explanation:
Answer:
Karina is 58 1/8 jane is 59 13/40
Step-by-step explanation:
Levi is trying to solve this problem:
"A store has a sale where every item has a sale price that is 25% less than the regular price. Write an expression that represents
the sale price of an item if the regular price is p dollars."
Levi said, "To find 25% of a number, I should multiply by 0.25. So the sale price of an item will be 0.25p."
Which statement best describes Levi's reasoning?
Answer:
yes he thinks he is a good boy boy and he’s a boy and a very very important man and he is so important to him he has a very important man he has a very very important father
Step-by-step explanation:
he thinks he wants a little more and he understands the same answer and that is the same thing about this one and he’s being very very important he
Hiiioo please help me
Question: how do you find the sum of the interior angles? (*Hint* it’s a formula!)
Answer:
The sum of all of the interior angles can be found using the formula S = (n - 2)*180.
Multiply the following binomials using a generic rectangle. (4x-1) (3x+5)
Answer:
12x^2+17x-5
Step-by-step explanation:
(4x-1)(3x+5)
12x^2-3x+20x-5
12x^2+17x-5
NEED HELP ASAP GIVING 33 POINTS
Answer:
Step-by-step explanation:high
Jack drank 1 1/3 cups of milk for breakfast, 1 5/6 cups of milk for lunch, and 1 3/4 cups for dinner. How much milk did Jack drink altogether
Answer:
4.91666666667
Step-by-step explanation:
1 1/3 + 1 5/6 + 1 3/4 = 4.91666666667
what’s 1/6 out of 200?
Answer:
its 0.8
Step-by-step explanation:
Ludwig the cow has decided to build a rectangular fence around his part of a pasture because Gustav the goat thinks he is cool and can eat all the grass he wants, including the grass on Ludwig’s side of the pasture. Ludwig determines that the perimeter of the fence has to be greater than 132 yards. If Ludwig needs the width of the fence to be eight less than the length, determine, to the nearest whole yard, the smallest the length of the fence can be and still have a perimeter greater than 132 yards.
9514 1404 393
Answer:
38 yards
Step-by-step explanation:
Let x represent the length and y the width, both in yards. Then the required relations are ...
2(x+y) > 132 . . . . . . the perimeter is greater than 132 yards
y = x - 8 . . . . . . . . . . width is 8 less than length
Substituting for y in the first equation gives ...
2(x +(x -8)) > 132
4x -16 > 132
x -4 > 33
x > 37
The smallest length the fence can be is 38 yards.
__
Check
At that length, the width is 30 yards, and the perimeter is 2(38+30) = 136 yards. If the length were 37 yards, the perimeter would be 132 yards, which is not greater than 132 yards.
The numbers that are added to get the coefficient of the middle term are the _______ of the last term.
Select one:
a.
products
b.
inverse
c.
exponents
d.
addends
e.
factors
Which name applies to the apple pair at the right?
When two angles sum up to 90° they are called complementary angles.
Since the sum of angle 1 and angle 2 = 90°, they will be called each other's complements.
Thus, the angle pair is called complementary angles.
▪︎Therefore, the correct option is (C) complementary
4.7 X 10^-3 ___ 2^2
a.=
b.<
c.>
Answer:
Your answer is B
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Rewrite using distributive property and GCF. 45 + 125
pls help
Answer:
5(9+25)
Step-by-step explanation:
The GCF is 5 so you just divide each by 5
Evaluate -2(-7d + 3x) when x = 7 and d = 6
Answer:
√ 16
log ( 100 )
√ 25
32
Samantha calls her hairstylist to make an appointment for Monday and selects an appointment time slot, Ruby calls the same
hairstylist and makes an appointment for the same day and selects another available time slot.
Are these two events dependent or independent? Justify the answer.
ОА. The two events are dependent because the appointment time chosen by Samantha affects the time slots that
are available for Ruby.
B. The two events are dependent because the appointment time chosen by Samantha does not affect the time
slots that are available for Ruby.
C. The two events are independent because the appointment time chosen by Samantha does not affect the time
slots that are available for Ruby
D. The two events are independent because the appointment time chosen by Samantha affects the time slots that
are available for Ruby
Reset
Submit
1:09
Answer:
A
Step-by-step explanation:
Samantha already took up an appointment time slot, and the two people can't be at the appointment at the same time, so it should be A.
I have like 3 chemistry assignments I need done before Monday I’ll send the link to whoever is willing to help me and I’ll cash app you $5 I really in desperate need of help
If f(x) = 2x - 3, find f(-2).
As, f(x) = 2x - 3
Therefore, f(-2) = 2(-2) - 3
[tex]\sf : \implies f(-2) = 2(-2) - 3[/tex]
[tex]\sf : \implies f(-2) = - 4 - 3[/tex]
[tex]\sf : \implies f(-2) = - 7[/tex]
Hence, value of f(-2) is - 7.