Answer:
C
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C
helpp help meeee plsss pls
Answer: w might be 9
Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.
Answer:
9solution,
The two polygons are same.
[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]
[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]
Hope this helps...
Good luck on your assignment..
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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A square has a side length x and a circle has a radius (x-1). At what value of x will the two figures have the same area?
a. 1.66
b. 2.29
c. 0.5
d. 1.25
Answer:
B
Step-by-step explanation:
The area of the square can be calculated using S^2 = x^2
The area of the circle is pi * r^2
= 22/7 * (x-1)^2
= 22(x-1)^2/7
So we need the value of x, that will make;
x^2 = 22(x-1)^2/7
In this kind of scenario, since we have options, it is best to test values instead of going through long calculations
Let’s try 2.29
So;
2.29^2 = 22/7(2.29-1)^2
5.2441 = 5.23
So close , but let’s see if any other value will
give us a closer value
Let’s work with 1.66
1.66^2 = 22/7(1.66-1)^2
2.7556 = 1.369
This is far from what we need
Let’s try 0.5
0.5^2 = 22/7(0.5-1)^2
Thus gives a negative answer on the right hand side, so no need trying
And lastly 1.25
1.25^2 = 22/7(1.25-1)^2
1.5625 = 0.1946
So the first test still gives the most probable answer to a decimal place accuracy
Answer:
b. 2.29
Step-by-step explanation:
the answer above is correct please give them the brainiest
how do you redue 84 if possible
Answer:
The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution
Step-by-step explanation:
What is the equation of the following line written in slope-intercept form?
(-5, -1)
Oy=3/2x-13/3
Oy=-2/3x-13/3
Oy=2/3x-13/3
Answer:
Option (2)
Step-by-step explanation:
Let the equation of the line is,
y - y' = m(x - x')
where (x', y') is a point lying on the given line.
And m = slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Line given in the graph passes through two points (-5, -1) and (-2, -3).
Slope of the line 'm' = [tex]\frac{-3+1}{-2+5}[/tex]
= [tex]-\frac{2}{3}[/tex]
Therefore, equation of the line passing through(-5, -1) and slope of the line = [tex]-\frac{2}{3}[/tex] will be,
y - (-1) = [tex]-\frac{2}{3}[x-(-5)][/tex]
[tex]y+1=-\frac{2}{3}(x+5)[/tex]
[tex]y=-\frac{2}{3}x-\frac{10}{3}-1[/tex]
[tex]y=-\frac{2}{3}x-\frac{13}{3}[/tex]
Option (2) will be the answer.
3 x : 10 = 5 : 2 Calculate the value of x
Answer:
so the value of x is 8.3333≈8.3
Step-by-step explanation:
3x:10=5:2
[tex]\frac{3x}{10}=\frac{5}{2}[/tex]
by cross-multiplication
3x×2=5×10
6x=50
6x/6=50/6
x=8.33
i hope this will help you :)
solve for x -48=6(x-3)
Answer:
[tex]\boxed{x = -6}[/tex]
Step-by-step explanation:
[tex]x-48 = 6(x-3)[/tex]
Resolving parenthesis
[tex]x - 48 = 6x-18[/tex]
Adding 18 to both sides
[tex]x-48+18 = 6x\\x-30 = 6x[/tex]
Subtracting x from both sides
[tex]-30 = 6x-x\\-30 = 5x[/tex]
Dividing both sides by 5
[tex]-30/5 = x[/tex]
[tex]-6 = x\\[/tex]
OR
x = -6
Answer:
x = - 6Step-by-step explanation:
x - 48 = 6(x - 3)
Expand the terms in the bracket
That's
x - 48 = 6x - 18
Group the constants at the right side of the equation and the ones with variables at the left side
x - 6x = 48 - 18
- 5x = 30
Divide both sides by - 5
x = - 6Hope this helps you
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
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What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(1,9)
Answer:
y=9x
Step-by-step explanation:
(0,0),(1,9)
when x=0, y=0, means b=0
m is the slope =9
y=9x
Answer:
yes the answer is 9 on any question
Step-by-step explanation:
PLEASE help me with this question!!!!!!
Answer:
270[tex]\sqrt{3}[/tex] cm³
Step-by-step explanation:
A regular hexagon can be cut into 6 equilateral triangles.
The area (A) of an equilateral triangle can be calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6
A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6
area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²
The volume (V) of the prism is calculated as
V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³
The question is in the image below.
The fourth:
The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.
Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y
Answer:
The answer is __
because of __
Step-by-step explanation:
factor y=2x^2+10x+12
Answer:
y=2(x+2)(x+3)
Step-by-step explanation:
First, we need to factor the right side:
y=2(x^2+5x+6)
Now, we can have an incomplete equation like this:
y=2(x+_)(x+_)
In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!
So, our factored form is
y=2(x+2)(x+3)
fractorise the following (a-b)²+(a-b)
Step-by-step explanation:
taking common (a-b)
so we get the answer
The measure of two sides of a triangle are given. If P is the perimeter, find the measure of the third side. P = 8x²+4x-1.
Answer:
3x² + 1
Step-by-step explanation:
The perimeter is the sum of the exterior lengths of a polygon.
Here, the perimeter will be the sum of the lengths of the triangle. Two of them are given: 5x² + x - 4 and 3x + 2. Let's say the third side is A. Then, we know that:
P = 8x² + 4x - 1 = (5x² + x - 4) + (3x + 2) + A
On the right side, we have:
(5x² + x - 4) + (3x + 2) + A
5x² + 4x - 2 + A
This is equal to 8x² + 4x - 1:
5x² + 4x - 2 + A = 8x² + 4x - 1
Solve for A by isolating it:
A = (8x² + 4x - 1) - (5x² + 4x - 2) = 8x² + 4x - 1 - 5x² - 4x + 2 = 3x² + 1
The third side is thus 3x² - 1.
If the maximum value of f(x) is 20, then what is the maximum value of (2x - 10) if f(x) = -4x^2+
bx + c?
Answer:
The maximum value of (2·x - 10) is 20
Step-by-step explanation:
Given that the maximum value of f(x) = 20
f(x) = -4·x² + bx + c
We are required to find the maximum value of (2·x - 10)
f'(x) = -8·x + b = 0
x = b/8
f''(x) = -8, therefore, f'(x) is the maximum point
20 = -4·x² +8·x² + c
20 = -4·(b/8)² + b×(b/8) + c
20 = -b²/16 + b²/8 + c
20 = b²/16 + c
f(2·x - 10) = -4·(2·x - 10)² + b·(2·x - 10) + c
f(2·x - 10) = b·(2·x - 10) + c - (16·x²-160·x +400
Differentiating to find the maximum gives;
f'(2·x - 10) = d(b·(2·x - 10) + c - (16·x²-160·x +400)/dx = 2·b -32·x +160 = 0
x = (2·b +160)/32 = 0.0625·b +5
At the maximum point, therefore, we have;
b·(2·(0.0625·b +5) - 10) + c - (16·(0.0625·b +5)²-160·(0.0625·b +5) +400
At the max value of f(2·x - 10) = b²/16 + c
Since b²/16 + c = 20, we have the maximum value of (2·x - 10) = 20.
Simplify the radical /81d^6.
O 9d2
81d3
O 9d3
O 906
Answer:
The answer is option C.
Step-by-step explanation:
[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]
Hope this helps you
Answer:c
Step-by-step explanation:
if f(x)=5x-7 what is f(3)
Answer:
f(3) = 8
Step-by-step explanation:
f(x) = 5x - 7
Put x as 3 and evaluate.
f(3) = 5(3) - 7
f(3) = 15 - 7
f(3) = 8
Answer: 8
Step-by-step explanation:
Which multiplication expression is equal to
Nm
2.1
3 12
Nw
NP
O를
O 를시
를스
를
Answer:
nw to s so it makes it 2.1
Step-by-step explanation:
the answer 5.6
PLEASEEE HELPPP IT DUE TODAYYY
Answer:
All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.
halppppppp meeeaaaaaaaaaaaa
Answer:
The x-intercept is the location on the graph when the output is 0.
f(x) > 0 is intervals of the domain where the graph is above the x-axis.
y-intercept is the location on the graph when the input is 0.
f(x) < 0 is intervals of the domain where the graph is below the x-axis.
If x > 0 and y = 0, where is the point (x, y) located?
Answer:
if x>0 and y=0 the point is located on the x-axis
Answer:
x-axis on the right side
Step-by-step explanation:
the point (x,y) located on the x-axis
example x=1, y=0
Write 0.9953 as a fraction
ASAP
Answer: 9953/10000
Step-by-step explanation:
There is no simplifying this and this is the fraction it is at its least form!, Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
9953/10000
Step-by-step explanation:
0.9953 as a fraction is written as 9953/10000(nine-thousand fifty-three over ten-thousand)
Hope this helps!!! PLZ MARK BRAINLIEST!!!
What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13
Answer:
sin = 12/13 and tan = 12/5
The value of sin α will be 12/13 and tan α will be 12/5 for the given triangle such that cosα= 5/13.
What is a trigonometric function?Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.
We know that
sin²α + cos²α =1 ⇒ sin²α = 1 - cos²α
Given that cosα = 5/13 so by putting it
sin²α = 1 - (5/13)²
sin²α = 144/169 ⇒ sinα = 12/13.
Now since tanα = sinα /cosα
tanα = (12/13) ÷ ( 5/13)
tanα = 12/5.
Hence the value of sinα will be 12/13 and tanα will be 12/5.
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Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). Use this rule to find the coordinates of this point's dilation from the origin, with a scale factor of 3: (4, 10).
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
Given that sin x < cos x and 0°< x < 90°,state a possible value of x. Explain your answer clearly.
Answer:
30°Step-by-step explanation:
Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.
sinx< cos x
Dividing both sides by cos x
sin x/cos x < cos x/cos x
tan x < 1
x < [tex]tan^{-1}1[/tex]
x < 45°
Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.
solve with ans : the compound interest of a sum of money in 1 years and 2 years are Rs 450 and Rs 945 respectively. find the rate of interest compounded yearly and the sum .
Answer:
The rate of interest compounded yearly =10%The sum compounded is Rs4,500Step-by-step explanation:
Compound Interest Formula, Amount, [tex]A(n)=P(1+r)^n[/tex]
Interest=Amount - Principal
[tex]I=P(1+r)^n-P[/tex]
At the end of 1 year, interest =Rs450, therefore:
[tex]450=P(1+r)-P\\450=P+Pr-P\\450=Pr[/tex]
At the end of 2 years, interest =Rs945, therefore:
[tex]945=P(1+r)^2-P\\945=P(1+r)(1+r)-P\\945=P(1+r+r+r^2)-P\\945=P(1+2r+r^2)-P\\945=P+2Pr+Pr^2-P\\945=2Pr+Pr^2[/tex]
Recall: Pr=450
Therefore:
[tex]945=2(450)+Pr^2\\945-900=Pr^2\\Pr^2=45[/tex]
Comparing Pr=450 and [tex]Pr^2=45[/tex]
[tex]\dfrac{Pr^2}{Pr}= \dfrac{45}{450}\\r=0.1[/tex]
Substitute r=0.1 to obtain P
0.1P=450
P=Rs4500
Therefore:
The rate of interest compounded yearly =0.1=10%The sum compounded is Rs4,500A program gives computers to families with schools with middle-aged children. They have a certain number of computers to distribute fairly between several families. How many computers should each family get? 1. One month the program has 8 computers. The families have these numbers of school-aged children: 4,2,6,2,2.
Answer:
[tex]\text{2, 1, 3, 1, 1}[/tex]
Step-by-step explanation:
[tex]\text{There are a total of 8 computers and 16 school-aged children,} \\\text{therefore there must be 2 children per computer.}\\\frac{16}{8}=2 \text{ (As shown)}\\\text{The families each with 4, 2, 6, 2, 2 children should get;}\\\text{2, 1, 3, 1, 1 computers respectively.}[/tex]
Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
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[Refer to the image attached for complete question]
There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast
Answer: 8435
Step-by-step explanation:
No. of girls = 4562 - 689 = 3873
Total strength = 4562 + 3873
= 8435
Answer:
8435
Step-by-step explanation:
Boys= 4562
Girls= 4562-689= 3873
Total= 4562+3873= 8435
Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z? The radius is the constant term, z. The radius is the constant term, z, divided by 2. The radius is the square root of the constant term, z. The radius is the square of the constant term, z.
Answer:
The radius is the square root of the constant term, z
Step-by-step explanation:
makes sense, also took the test :)
Answer:
C. The radius is the square root of the constant term, z.
Step-by-step explanation:
Hope this helps :)