Answer:
315
Step-by-step explanation:
45 x 7 = 315
Multiples of 7: 7, 14, 21, 28... 301, 308, 315
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405
If you need further explanation, let me know!
- profparis
Step-by-step explanation:
Least common multiple of 45 and 7 is 315
a machine prints 1500 newspapers in 45 minutes how many does it print in 12 hours
Answer:
ans is 24000
Step-by-step explanation:
frist convert 12 into mins
/ it with 45
now multiple it with 1500
now ans 24000
(Assuming it works at a constant rate)
45 minutes = 3/4 of an hour
If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.
Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.
So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)
If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?
The value of [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex] or [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.
It is given that the [tex]\rm tan\theta = -\frac{3}{8}[/tex]
It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.
We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.
The [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]
or [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]
Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:
[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]
Or
[tex]\rm cot\theta = -\frac{8}{3}[/tex]
Thus, the value of [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex] or [tex]\rm cot\theta = -\frac{8}{3}[/tex].
Know more about trigonometry here:
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Answer:
first option
Step-by-step explanation:
Anwser for 4.5 times 3.6
Answer:
16.2
Step-by-step explanation:
calculator :0
Please help when you it’s important
The area of the sandbox is 5 x 5 = 25 square feet.
the cost of the sand = 25 square feet x 1.47 = $36.75
Answer: $36.75
Answer:
36.75
Step-by-step explanation:
5*5=25 ft^2
(area)
25*1.47=36.75
sand cost
If ∠A > ∠B, then what is the relation between AC and BC?
Answer:
ab and ac are congruent with each other
Answer:
BC > AC
Step-by-step explanation:
∠A > ∠B (Given)
Side opposite to larger angle is larger and side opposite to smaller angle is smaller.
->AC < BC
or
BC > AC
Find the equation of the line that is perpendicular to the line Y equals 4X and passes through the point -10, -6. Write the equation in point slope form
Answer:
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x ← is in slope- intercept form
with slope m = 4
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then
y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
Question is the PNG file.
Answer:
volume = x(x + 2)(x - 1)
soil = 30 ft³
Step-by-step explanation:
volume of a cuboid = width x length x height
width = x ftlength = (x + 2) ftheight = (x - 1) ftSubstituting given values into the equation:
⇒ volume = x(x + 2)(x - 1)
If width = 3ft, then x = 3:
⇒ volume = 3(3 + 2)(3 - 1)
= 3(5)(2)
= 30 ft³
Rhonda has 12 marbles more than douglas . Doughlas has 6 marbles more than bertha . Rhonda has twice as many marbles as bertha has . How many marbles does douglas have
24
Explanation:
R = D + 12 (1)
D = B + 6 (2)
R = 2*B (3)
Put (3) into (1): 2*B = D + 12 (4)
Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12
So: 2D - 12 = D + 12
Subtract D from both sides and add 12 to both sides to get: D = 24
(not suree)
Can someone help me if you can??? please and thank you! :)))))))
Answer:
Here is the answer
Step-by-step explanation:
Interest=$580 x 6.5%
=580 x 6.5/100
=$37.70
$37.70= 37dollars and 70 cents
Hello, could you please help me with my homework?
Question:-
[tex]\pmb{(x+8)^5}[/tex]
Use the Binomial Theorem.
Kindly do not lose your precious time by spamming; instead, please provide a high-quality answer.
I need help A.S.A.P.; this is due today.
Answer:
[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]
Step-by-step explanation:
This too follows the as same process as
https://brainly.com/question/27201053recall binomial theorem,
[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
Given binomial:
(x+8)⁵comparing it to (a+b)ⁿ , we acquire:
[tex]a \implies x[/tex][tex]b\implies 8[/tex][tex]n\implies 5[/tex]Now substitute:
[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]
To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields
[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]
and we're done!
What is the value of y?
y
60°
80°
Step-by-step explanation:
60° + 80° + y = 180° ( being straight angle )
140° + y = 180°
y = 180° - 140°
y = 40°
Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.
If remove the zero from 0.76 would it change the value of the number
If remove the zero from 10.25 would it change the value of the number
PLS HELP THIS WAS ON SHORT NOTICE AND I NEED IT DONE IN 30 MINUTES
!!!
Question 1:
Answer: The number does not changeRemoving the zero from 0.76 leads to .76 which is the same as before. Both lead to [tex]7.6 \times 10^{-1}[/tex] in scientific notation.
Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.
===========================================
Question 2:
Answer: Yes the number changesTaking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.
Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!
Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
Common segmentTo find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
__
Missing measureThe side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
PLEASE HELP!! 50 POINTS!!
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 35.20735
Step-by-step explanation:
Use tanФ = opposite/adjacent
tan58 = x/22
x = 35.20735
Solve this problem please and thank you.
Answer:
B
Step-by-step explanation:
The given expressions can be compared by putting each in standard form.
A. -8 -7n +16n = (-7+16)n -8 = 9n -8
B. 9(n -8) = 9n -72 . . . . different from the others
C. n -8 +8n = (1 +8)n -8 = 9n -8
D. 9n -8
_____
The standard form of a polynomial expression has the variable terms in decreasing order by degree
What are any tricks for remembering the Pythagorean theorem?
Answer:
No. Just no the formula
Hyp2= Adj2 +Opp2
The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
What is the Pythagoras theorem?Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.
Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.
It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.
The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.
For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:
[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]
Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
Learn more about Pythagoras' theorem here;
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Can i get some help With This Please
Step-by-step explanation:
See the solution for each part
1)
f(-2) = - 3(-2) - 6 = 6 - 6 = 02)
g(3) = 3² + 4 = 9 + 4 = 133)
f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 184)
f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 455)
x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) = - (x + 6)/3Now
f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45What is the distance between
(-2,-4) and (-2, -8)?
2 units
4 units
12 units
Answer:
4units is the answer to the question
Answer:
4
Step-by-step explanation:
took the k12 test
Triangle ABC has side lengths AB= 25 units, BC = 24 units and AC = 7 units. Triangle ABC is mapped to triangle A'B'C' by a reflection across a
horizontal line and translated left 12 units
What is the length of segment B'C'?
A. 25 units
B. 12 units
C. 24 units
D. 7 units
Answer: C. 24 units
Step-by-step explanation:
C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.
Which is true [x]>=x or [x]<=x ?
Answer:
[x] ≥ x
Step-by-step explanation:
The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ xCalculate the capacitance between two parallel plates of area s and separation of d
The capacitance between two parallel plates of area s and separation of d is;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
What is capacitance?Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.
The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.
The capacitance between two parallel plates of area s and separation of d is given by the following formula;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.
According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.
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Find the volume of the prism in terms of y.
is there a value to y? if not, this is what I got:
Y^2 + 2y + 3
Find the equation of a line parallel to y = x - 2 that passes through the point (-2,-8).
Answer: y=x-6
Step-by-step explanation:
what are the coordinates of a point where graph of y=x2+3x+2 crosses the x axis
Answer:
x= -2, 0
Step-by-step explanation:
helllp pleeaasee can you?
Divide money earned by hours worked to get the hourly rate of $11.00 per gour.
Answer: C. $11.00 per hour
A rectangle has a perimeter of 48 kilometers and a height of 10 kilometers. What is the
length of the base?
kilometers
We know, perimeter of the rectangle = 2(l +b)
where, l = length and b = breadth
Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.
=> Perimeter = 2(l + b)
=> 48 = 2(l + 10)
=> 48/2 = l + 10
=> l + 10 = 24
=> l = 24 - 10
=> l = 14 kilometers
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
What is an angle?
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.
The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
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How can (xy)/(x+y) be simplified?
Answer:
xy
---------
x + y
Step-by-step explanation:
(xy)
----- is in its simplest form.
(x + y)
I hope this helps!
sin^-1(√3-1/2√2)
please give me answer
use a calculator and the correct answer is 0.019134405
and then round off the that answer into 2 significant number
sin^-1(√3-1/2√2)
please give me answer