Work out the size of angle X
Answer:
x = 105
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines are parallel
x = 105
Answer:
105°
Step-by-step explanation:
The angles are corresponding therefore they are equal
How many solutions are there to the following equation?
2- 5x= 3(2 – 3x)
A. O
B. 1
C. Infinitely many
The scatter plot shows the relationship between tickets sales at a theme park and the number of cloudy days per month for the past year.
Theme Park Ticket Sales
(in thousands)
100
99
98
97
96
95
94
93
92
91
90
87
86
BS
0
9 10 11 12 13 14 15
Number of Cloudy Days per Month
Which statement best describes the relationship shown in the scatter plot?
A Ticket sales are high when there are few cloudy days.
O B. Ticket sales are low when there are many cloudy days.
C. Ticket sales go up if there are more cloudy days per month.
D. Ticket sales go down if there are more cloudy days per month
E Ticket sales are not affected by the number of cloudy days per month.
Answer:
E Ticket sales are not affected by the number of cloudy days per month.
Step-by-step explanation:
From the scatter plot Given, using visual observation, we can infer that the relationship between theme park ticket sales and the number of cloudy sales is randomly scattered with no defined linear pattern. That is, the plot does not ascertain of the number of ticket sales increases with increasing number of cloudy days, or vice versa. Hence, the relationship will best the described as concluding that ticket sales are not affected by the number of cloudy days per month.
25/20 + 10/y = ? Solve for y.
Answer:
your answer is y=-8 for sure
help I will give brainliest if you do everything
Let n be an odd integer with exactly 11 positive divisors. Find the number of positive divisors of 8n^3
Answer: 124
Step-by-step explanation:
As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.
We know this product is equal to 11.
Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be [tex]$n=p^{10}$[/tex], where p is a prime number.
We take a cube of the prime factorization of n to give us a prime factorization for [tex]n^3[/tex]
[tex]$$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$$[/tex]
We see that [tex]n^{3}\text{ has }$30+1=31$[/tex] positive divisors.
Now, [tex]8n^3=2^3\times p^{30}[/tex]
Totald divisiors = [tex](3+1)(30+1)=4\times31=124[/tex]
Hence, the number of positive divisors of [tex]8n^3=124[/tex]
The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?
Answer: 105
Step-by-step explanation:
Given
The ratio of men to women working for a company is 4:7
There are total of 165 employees
Suppose, there is 4x men and 7x women such that the ratio remains constant
[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]
[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]
What is the measure of the unknown angle?
Tower A and B are 151 m apart.
From the top of tower A at 68 m above ground, the angle of elevation to the top of tower B is 23°.
How tall is tower B to the nearest metre?
Answer:
132m
Step-by-step explanation:
Height of tower B = Height of tower A + difference in height between tower B and A
The difference in height can be determined using tan
tan 23 = opposite / adjacent
tan 23 = opposite / 151
0.4245 x 151 = opposite
opposite = 64m
Height of tower B = 64m + 68m = 132m
What is the volume of the triangular prism?
Answer:
48 in³
Step-by-step explanation:
the volume = ½×3×4 × 8 = 48 in³
PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY
What is 350-450:90+15x3
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
Answer:
A. y = -(x + 5)^2 + 4
Step-by-step explanation:
After a small online search, I've found that the options are:
A. y = -(x + 5)^2 + 4
B. y = -(x - 5)^2 + 4
C. y = -(x + 5)^2 - 4
D. y = -(x - 5)^2 - 4
For a quadratic equation with a vertex at the point (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if here we have the vertex at (-5, 4)
y = a*(x - (-5))^2 + 4
y = a(x + 5)^2 + 4
Then the correct option is the first one, where a = -1, then the correct option is A.
(2x – 1) (2x + 1) (4x2 + 1)(16x4 + 1) + 1
Answer:
Escribí esto, así que espero que quede claro.
Step-by-step explanation:
Maybe 256x square 8
Please help me if yk tha answer :))
Answer:
cosθ = sinθ/tanθ
Step-by-step explanation:
tanθ = sinθ/cosθ (Given)
cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)
cosθ = sinθ/tanθ (Divided tanθ on both sides)
Help fast it is math and really fast need help
Given:
The table of value and y is inversely proportional to square of x.
To find:
The value of c and d.
Solution:
It is given that y is inversely proportional to square of x. So,
[tex]y\propto \dfrac{1}{x^2}[/tex]
[tex]y=k\dfrac{1}{x^2}[/tex] ...(i)
Where, k is the contant of proportionality.
From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get
[tex]4=k\dfrac{1}{3^2}[/tex]
[tex]4=\dfrac{k}{9}[/tex]
[tex]4\times 9=k[/tex]
[tex]36=k[/tex]
Putting [tex]k=36[/tex] in (i), we get
[tex]y=36\dfrac{1}{x^2}[/tex]
[tex]y=\dfrac{36}{x^2}[/tex] ...(ii)
Putting [tex]x=5,y=c[/tex] in (ii), we get
[tex]c=\dfrac{36}{(5)^2}[/tex]
[tex]c=\dfrac{36}{25}[/tex]
Putting [tex]x=d,y=2[/tex] in (ii), we get
[tex]2=\dfrac{36}{d^2}[/tex]
[tex]d^2=\dfrac{36}{2}[/tex]
[tex]d^2=18[/tex]
Taking square root on both sides, we get
[tex]d=\pm \sqrt{18}[/tex]
[tex]d=\pm 3\sqrt{2}[/tex]
Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].
Answer:
8.238
Step-by-step explanation:
it might not be right, but it was not fast either XDDD
dang, i took to long to tell u
:)
Please help I’ll give brainliest
Answer:
23
Step-by-step explanation:
I DID 7*3+2 & GOT 23
Find MN. See image below.
Answer:
Step-by-step explanation:
Tangents from the point outside the circle are equal
NL = JL
NM + ML =JK + KL
2x - 7 + 9 = 8 + 10
2x + 2 = 18 {Subtract 2 from both sides}
2x = 18 - 2
2x = 16 {Divide both sides by 2}
x = 16/2
x = 8
MN = 2*8 - 7 = 16 - 7 = 9
MN = 9
Population since 2000 has been approximately linear. In 2006 the population was 1148 and in 2014 the population was 1348. What is the rate of population growth?
Answer:
2.03% Rate of Population Growth.
Step-by-step explanation:
According to the Question,
Given, In 2006 the population was 1148 and in 2014 the population was 1348.
2006⇒2014 (8 Years)
So, [tex]1148 * (1+\frac{x}{100} )^{8} = 1348[/tex]
[tex](1+\frac{x}{100} ) = \sqrt[8]{1.1742}[/tex]
(1 + x/100) = 1.0202
x/100 = 0.020276
x = 2.03% Rate of Population Growth
PLZ HELP ASAP FOR AP3X
Answer:
A - y = cos(x-1)
Step-by-step explanation:
This is what it looks like when you graph y = cos(x-1). It matches the graph on your question exactly, this graph is just using trig concepts.
Please give me brainliest if my answer was right. :)
Help geometry ……………..
Answer:
Angle F
Step-by-step explanation:
=====================================================
Explanation:
We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.
In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.
Consider the follow:ing sequence -3; 2; 7; 12. 12.1 Find an expression for the nth term
Answer:
tn=t¹+d(n-1)
Step-by-step explanation:
d=common difference
t¹=1st term
n= the nth term
Answer:
Step-by-step explanation:
Sequence, so easiest way is difference between any 2 consecutive numbers
Neg 3 to 2, difference is 5
2 to 7, difference is 5
7 to 12 , difference is 5
So sequence result for n
= starting point + (n-1)(5)
Eg 2nd, N= 2
Starting point is neg 3
Sequence = -3 + 2-1 (5) = -3 + 5 = 2
9th, n = 9
-3 + 8(5)
-3 + 40
37
Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week there are 16 cups in I
Answer:
56 cups of water
Step-by-step explanation:
Katrina drinks 0.5 gallons of water per day
We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:
1 day = 0.5 gallons
7 days = x
Cross Multiply
1 day × x = 7 days × 0.5 gallons
x = 7 days × 0.5 gallons/1 day
x = 3.5 gallons
Note that 16 cups = 1 gallon
The number of cups of water she drinks per week is
1 gallon = 16 cups
3.5 gallons = x
Cross Multiply
1 gallons × x = 3.5 gallons × 16 cups
x = 3.5 gallons × 16 cups/1 gallons
x = 56 cups
Therefore, Katrina drinks 56 cups of water in a week
Jenny rolled a pair of number cubes, each with the numbers 1 through 6.
What is the probability that Jenny rolled two 1s?
A. 1/36
B. 1/18
C. 1/12
D. 1/6
Jenny rolled 1/18
Answer:
D. 1/18
Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete; However, one can deduce from the options that the question refers to percentage change.
I will give two illustrations that shows how to calculate percentage change.
Illustration 1
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$55[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{10}{45} * 100\%[/tex]
[tex]\%Change = \frac{1000}{45} \%[/tex]
[tex]\%Change = 22.22\%[/tex]
This means there is a 22.22% increase
Illustration 2
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$35[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{-10}{45} * 100\%[/tex]
[tex]\%Change = -\frac{1000}{45} \%[/tex]
[tex]\%Change = -22.22\%[/tex]
The negative sign indicates percentage decrease
So, this means there is a 22.22% decrease
A store offers a discount of 10% to customers who spend more than $20.00. If a customer’s bill is $80.00, how much will he actually pay?
Answer:
Step-by-step explanation:
Answer:
$72.00
Step-by-step explanation:
Amount of discounted money
= 10/100 x $80.00
= $8
Amount he will pay
= $80.00 - $8.00
= $72.00
Can someone help me please???
Answer:
35,691
Step-by-step explanation:
First step, look at the diagram and you see that you have a sphere and a cone.
The total surface area of a sphere is
[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]
Since you only have half of a sphere, the surface area is 9,556.5
The surface area of the cone is
[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]
You don't need the bottom of the cone however as it is connected to the half sphere.
So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800
The area of the circle is 4,778
In ΔMNO, m = 41 cm, o = 98 cm and ∠O=22°. Find all possible values of ∠M, to the nearest degree.
Answer:
9°
Step-by-step explanation:
m / sin L M = o / sin L O
41/sin L M = 98/sin 22°
=> sin L M = 41×sin 22°/98
= 41×0,3746 / 98
= 0,1567
so, L M = sin~¹ 0,1567 = 9°
Solve for x and y in the system of equation
3x²+4y=17
2x²+5y=2
I'll mark brainliest
Answer:
[tex]x=\pm \sqrt{11} \\y=-4.[/tex]
Step-by-step explanation:
[tex]\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.[/tex]
what is the correct answer
Answer:
Step-by-step explanation:
B is correct answer