Answer:
20 km
Step-by-step explanation:
So 1/3 = 2/6
2/6 = distance traveled by boat + 1/6 traveled by riding horses = 3/6 = 1/2
Meaning the 10 km by foot left is the other half
what is the number whose 10% is 12?
Answer:
120
Step-by-step explanation:
10%=12
20%=12x2
100%=12x10
=120
Answer:
Let the number be x.
Compute 10% of x and equate it to 12 to compute the value of x as follows:
[tex]x[/tex] x [tex]\frac{10}{100} = 12[/tex]
[tex]x[/tex] = 12 x [tex]\frac{100}{10}[/tex]
[tex]x[/tex] = 120
Thus, the number is 120.
9. P(no more than 16 | prime
Please help!! I will give 20 points to the correct answer !! Thanks so much
Answer:
-6 and 10
Step-by-step explanation:
i did this before. np kiddo
Answer:
-6, +10
Step-by-step explanation:
You are looking for factors of -60 that have a sum of 4. It can be helpful to list them so that they have a positive sum.
-60 = (-1)(60) = (-2)(30) = (-3)(20) = (-4)(15) = (-5)(12) = (-6)(10)
The sums are 59, 28, 17, 11, 7, 4. The factor pair of -60 that has a sum of 4 is ...
-6 and 10
_____
Additional comment
The square root of 60 is between 7 and 8, neither of which are factors of 60. That means the above list includes all of the factor pairs of 60. We have chosen the signs so that the sums are positive and the product is negative.
one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of the polygon
Answer:
There are 7 sides.
Step-by-step explanation:
Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.
S=(n−2)180
Since we are given that the two angles are right, the angles and each of the remaining angles is 144.
And Therefore, the sum is:
S=90
(n−2)144
(n−2)180
=90
+90
+(n−2)144
⇒(n−2)180
−(n−2)144
=180
⇒(n−2)(180
−144
)=180
⇒(n−2)(36
=180
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.
The number of sides of the polygon such that one angle is the right angle will be 6.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In any closed polygon, the number of sides is equal to the number of interior angles.
Suppose the number of sides is n in the given polygon.
Sum of angles = 90° + 126° × (n - 1)
The sum of angles is given as, 180(n - 2)
90° + 126° × (n - 1) = 180(n - 2)
90 + 126n - 126 = 180n - 360
180n - 126n = 90 - 126 + 360
54n = 324
n = 6
Hence "The number of sides of the polygon such that one angle is the right angle will be 6".
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1) Simplify the following expressions: a) sin²108° + sin² 18°
Note that
108° = 90° + 18°
so
sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)
Then
sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1
by the Pythagorean identity.
The value of the expression sin²(108°) + sin² (18°) will be 0.9986.
What is a expression? What is a mathematical equation? What is Equation Modelling? What are trigonometric functions?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. The six - trigonometric functions are -
sinecosinetangentcosecseccotangentWe have the following trigonometric equation -
sin²(108°) + sin² (18°)
We have the following expression -
sin²(108°) + sin² (18°)
(0.95)² + (0.31)²
0.9025 + 0.0961
0.9986
Therefore, the value of the expression sin²(108°) + sin² (18°) will be 0.9986.
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i need help with this question!!!!!!
Answer: [tex]87^{\circ}[/tex]
Step-by-step explanation:
Because an angle inscribed in a semicircle is a right angle, [tex]\angle B=90^{\circ}[/tex]
So, as angles in a triangle add to 180 degrees, [tex]\angle A=180^{\circ}-90^{\circ}-3^{\circ}=\boxed{87^{\circ}}[/tex]
What is the range of the function graphed below?
I need a walk through please 1
Answer:
[tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]
Step-by-step explanation:
You work in the order you have: you start with your number x, so your first step will be [tex]f_0(x)=x[/tex]. then you add 2: [tex]f_1(x) =x+2[/tex]. Then you take the square root of what you have in the previous step: [tex]f_2(x) = \sqrt {x+2}[/tex]. Finally, you divide by 9: [tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]
The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to
the equation Ix - 72.5 = 4. What are the minimum and maximum temperatures in the house?
Answer:
he.....a red cap.(wants/want)
The adjusted trial balance columns of the worksheet for Whispering Winds Company are as follows.
Answer:
Question?
Step-by-step explanation:
urgent help algebra 2
Answer:
y = - 1/4 x + 1
Step-by-step explanation:
Find two convenient integer coordinates like -4,2 and 4, 0
use these points to calculate the slope to be -1/4
intercept is b = 1
y = -1/4 x + 1
HELP! ASAP!
2.A cube-shaped plant box has edges that are 13 cm long. The plant box is filled with potting soil that has a density of 1.33 g/cm³.
(a) Is it safe to place the plant box on a window ledge that can support a maximum weight of 2400 grams? Explain why or why not.
(b) Would the density of the soil change if the plant box was only half full? Explain.
Step-by-step explanation:
2.
the volume of the box is
length × width × height = 13×13×13 = 13³ = 2197 cm³
the ratio of the density indignation tells us that every cm³ of soil weighs 1.33 g (or every unit of 1.33g soil fits into 1 cm³).
we have 2197 cm³.
their weight is
2197 × 1.33 = 2,922.01 g
so, the filled box clearly exceeds the max. weight of the window ledge, and it is NOT safe to put it there.
b
yes, it would be a little bit less dense.
because every bit of weight you put on top of something increases the pressure on and therefore the density of that something.
A florist is making blue and white flower arrangements for the arrangements he places a red ribbon on every third Arrangement and a blue ribbon on every fifth Arrangement which Arrangement will be the first to have a red and blue ribbon
The Arrangement that will be the first to have a red and blue ribbon is the 15th arrangement.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given the florist places a red ribbon on every third Arrangement and a blue ribbon on every fifth Arrangement. Therefore, to find the arrangement that will have both a red and a blue ribbon, you need to take the LCM of 3 and 5.
Since the LCM is 15, therefore, the Arrangement that will be the first to have a red and blue ribbon is the 15th arrangement.
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4. At what coordinates does the terminal side of a -420° angle intersect the unit circle?
Answer:
[tex]\left(\dfrac{1}{2},-\dfrac{\sqrt{3}}{2}\right)[/tex]
Step-by-step explanation:
An angle is co-terminal with the same angle that has any multiple of 360° added to it.
__
The angle -420° is co-terminal with (-420° +720°) = 300°. The attached unit circle chart shows the coordinates of the terminal side of that angle.
These coordinates are ...
(x, y) = (cos(300°), sin(300°))
(x, y) = (1/2, -√3/2)
Which of the following statements is true?
Answer:
B
Step-by-step explanation:
1/9 can be simplified to 1/3 as 1/3 x 1/3 = 1/9 and 49/25 can be simplified to 7/5 as 7/5 x 7/5 = 49/25.
Now looking at both the fraction 1/3 and 7/5
1/3 simplifies to 0.34
It is an irrational value as the 3 keeps repeating.
7/5 simplifies to 1.4
It is a rational value as the decimal value is not repeating.
Thus making the second option the answer.
Which equation has x-intercepts located at (-1,0) and (-5,0)?
A. y=(x + 1)(x - 5)
B. y=(x + 1)(x + 5)
C. y=(x-1)(x - 5)
D. y=(x-1)(x + 5)
Answer:
B. y = (x+1)(x+5)
Step-by-step explanation:
If the x-intercepts are (-1,0) and (-5,0), then the solutions (also called zeros and x-intercepts) are
x = -1 and x = -5
This is a "working backwards" kind of problem. If you were solving the equation, right before the final step, x=-1 would have been:
x + 1 = 0
Right before x=-5
would have been,
x + 5 = 0.
These two: x+1 and x+5 are called the linear factors. You multiply them back together to find the equation.
y = (x+1)(x+5)
Translate the phrase; then simplify. Find the sum of −45, −13, and 37.
Answer:
-21
Step-by-step explanation:
37 - 45 - 13 is translated
-8 - 13
-21
find X :))))))))))))))
Answer:
X + 35° = 70° ( this is one of the property of triangle in which the sum of two interior angles of a triangle is equal to its other angle)
X = 70 - 35
X = 35°
A
Find the value of x.
Round to the nearest tenth.
19°
B
142°
X
x = [?]
Law of Sines: sin A
42
sin B
b
sin C
C
The value of x will be equal to x = 79.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.
The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-
Angle = 180 - 142 - 19 = 19
Now applying Lami's theorem in the triangle we will get the third side.
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
[tex]\dfrac{Sin 19}{42}= \dfrac{Sin142}{x}[/tex]
[tex]x = \dfrac{42\times Sin 142}{Sin19}[/tex]
x = 79
Therefore the value of x will be equal to x = 79.
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Answer:
Step-by-step explanation:
NEED HELP ASAP WILL MARK BRAINLIEST!
Answer:
1.5
Explanation:
Given that:
[tex]\sf log_{b} (3) = 1.099[/tex][tex]\sf log_{b} (5) = 1.609[/tex]While solving this problem, the above following is not required to use.
[tex]\rightarrow \sf log_b ([b^3])^{1/2}[/tex]
apply log rule
[tex]\rightarrow \sf \dfrac{1}{2}\log _b\left(b^3\right)[/tex]
[tex]\boxed{\sf \log _b\left(b^3\right)=3}[/tex]
[tex]\rightarrow \sf \dfrac{1}{2}(3)[/tex]
distribute
[tex]\rightarrow \sf \dfrac{3}{2} \quad or \quad 1.5[/tex]
If you receive a 25% MARKUP on an item costing $60.00, how much money do you pay in total?
Answer:
Money Paid in Total = $45
Step-by-step explanation:
Firstly, the term Mark-up refers to the amount added to the cost price to cover the overheads and realize a profit.
A mark-up percentage is a percentage (%) that is used as a basis to determine the mark-up value.
Given
Cost of an Item = 60$
Markup % = 25% on cost
Hence, Mark up in $ = 60$*25%
= 15$
Therefore, Actual cost of an item = Cost of an item - Mark up on Item
= 60$ - 15$
= 45$
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i tried can you help me
Answer:
question 1
the ticket price which results in the greatest revenue is 14+8=22$
question 2
the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$
Step-by-step explanation:
the cost of a ticket to music concert is 14$
capacity of people for concert = 7500
for every increase in price attendance decreases by 250
so the required equation for getting revenue is
y = (14+x)(7500-250x)
= 105000+7500x-3500x-250x^2
by differentiating the above equation with respect to x we can find the local maxima which gives us the price for getting more revenue
dy/dx = 7500 -3500 - 500x =0
4000=500x
x= 8
from the above equation we got that if the increase in price was 8$ we will be getting the most revenue out of the concert
question 1
the ticket price which results in the greatest revenue is 14+8=22$
question 2
the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$
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5, 3.1.24
f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]
Given that [tex]f(x) = 3x^2 + 5[/tex], we have
[tex]f(x + 3) = 3 (x + 3)^2 + 5 \\\\= 3 (x^2 + 6x + 9) + 5 \\\\= 3x^2 + 18x + 32[/tex]
so that
[tex]f(x+3) - (f(x) + 3) = (3x^2 + 18x + 32) - (3x^2 + 8) \\\\= \boxed{18x + 24}[/tex]
Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?
The expressions show the total number of furniture legs in aisle 2 is 4t + 4c + 3s.
What is total number?
A quantity obtained by the addition of a group of numbers.
Given number of tables = t, chairs = c and stools = s.
The total number of furniture legs = 4 * t + 4 * c + 3 * s.
= 4t + 4c + 3s.
Therefore, the expressions which show the total number of furniture legs in aisle 2 is 4t + 4c + 3s.
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4 Pencils and 2 rulers cost $8. 2 pencils and 4 rulers cost $10. Find the cost of 3 rulers and 3 pencils
Answer:
4 pencil & 2 ruler = $8
2 pencil & 4 ruler = $10
let the no. of Pencil be X and no. of ruler be Y
4x + 2y = 8
2x + 4y= 10
solving the equation by elimination method,
multiplying eq 2 with 2
4x + 2y = 8
4x + 8y = 20
subtracting,
- 6 y = -12
y = 2
2x + 4(2)= 10
2x + 8 = 10
2x = 10 - 8
2x = 2
x = 1
Cost of 3 ruler + 3 pencil
= 3(1) + 3(2)
= 3 + 6
= 9
= $9Answer:
$9
Step-by-step explanation:
pencil - p
ruler - r
4p + 2r = 8
2p + 4r = 10
4p + 2r = 8 {finding p in terms of r so we can substitiute it}
- 2r -2r
4p = 8 - 2r
÷ 2 ÷2
2p = 4 - r {now, we can replace "2p" in our other equation}
2p + 4r = 10 becomes...
[4 - r] + 4r = 10
4 - r + 4r = 10
4 + 3r = 10
- 4 -4
3r = 6
÷3 ÷3
r = 2
when we have 4 pencils and 2 rulers, we have:
4p + 2[2] = 8
4p + 4 = 8
-4 -4
4p = 4
÷4 ÷ 4
p = 1
{checking with our other equation:
p = 1 ; r = 2
2p + 4r = 10
2[1] + 4[2] = 10
2 + 8 = 10
10 = 10
TRUE STATEMENT;
confirms our variables}
so , we have found that the cost of a pencil is $1, and the cost of a ruler is $2,
p = 1 ; r = 2
so, let's solve our original problem:
3 rulers + 3 pencils = ?
3(2) + 3(1) = ?
6 + 3 = 9
so, the cost of this combination would be $9
hope this helps!! have a lovely day :)
How to solve this?? (-4)-(-8)+(-4)
write the following situation as a proportion, 10 sandwiches feed 8 kids, how many sandwices will feed 30 kids
HELP ME PLEASE
13
25
Which expression represents the volume, in cubic units,
of the composite figure?
○ π(57)(13) —π (5²)(12)
○ π(5²)(13) — π (5²)(25)
○ ~(5²)(13) + = π (5²)(12)
○pi(5²)(13) + = π (5²³)(25)
Answer:
π(5²)(13)+⅓π(5²)(12)
Step-by-step explanation:
You can find the volume of the cylinder by:
V=πr²h
which is V1=π(5²)(13)
and the volume of the crooked cone by:
⅓πr²h
which is V2=⅓π(5²)(12)
and you need the volume of the whole shape. you can find by adding V1+V2
Which of the following sets represents the range of the diagram below?
The set that represents the range of the diagram below is given as follows:
B. {3, 5, 7}.
What is the range of a data-set?It is the set that contains all possible output values.
In the diagram, we have that:
The input values are: {1,2,3,4,5}.The output values are: {3,5,7}.Hence the set that represents the range of the diagram below is given as follows:
B. {3, 5, 7}.
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A sample has a sample proportion of 0.3. Which sample size will produce the
widest 95% confidence interval when estimating the population parameter?
A. 46
B. 68
C. 56
D. 36
Using the z-distribution, the sample size that will produce the widest confidence interval is given by:
D. 36.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The widest interval has the highest margin of error, and since the margin of error is inversely proportional to the sample size, a lower sample size generates a higher margin of error, hence option D is correct.
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