Answer:
tan B = 12 /5
sin B = 12/13
cos B = 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp/ adj = 12 /5
sin B = opp/hyp = 12/13
cos B = adj/hyp = 5/13
Answer:
Sine of B = 12/13
Cos of B = 5/13
Tan of B = 12/5
Step-by-step explanation:
In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars? A=P(1+\frac{r}{n})^{nt} A=P(1+ n r ) nt
Consider the LD50 of Drug X above. Draw a vertical dashed line starting at 10 mg/kg on the x-axis and ending on the graphed line. Draw a horizontal line starting at 50% on the y-axis and ending on the graphed line. This is the LD50 of Drug X. What is the LD50 of Drug X
Solution :
LD50 is a test that used by the scientist and by the medical practitioners to determine the toxicity of any chemical compounds. It involves introducing the different dose levels of the chemical compound that is to be tested to the group of the experimental subjects.
The LD50 graph of the Drugs X is attached below.
From the graph, we can see that the LD50 level of the drug X is 10 mg/kg.
Find X. Round your answer to the nearest TENTH of a degree. (GIVING BRAINLEST)
Answer:
36.8 i think
Step-by-step explanation:
Susan’s ribbon  is 3.8 metres long. What is the length of her ribbon in millimetres?
show working out
3800 mm
Hope it helps you...
Thank you!!
determine using pascal's method. (2p-3q)^5=(p-q)^5
What is the value of x
Answer:
Step-by-step explanation:
x+15+x+115+90=380 degree(sum of interior angles of four angles is 360 degree)
2x+220=360
2x=360-220
x=140/2
x=70 degree
For vectors u = i + 6j, v = 5i – 3j, and w = 9i – 2j, determine u • w + v • w.
27
18
90
48
Answer:
This is the explanation you can find answer by rolling it.Write and equation of a line that passes through (-5, 6)
and is perpendicular to x=-2
Answer:
Step-by-step explanation:
Perpendicular means opposite reciprocal as far as the slope goes. The thing we need to know without prompting is that the given slope of x = -2 is a perfectly vertical line with an undefined slope, and that a line perpendicular to this one would have to be a perfectly horizontal line. Slopes of perfectly horizontal lines is always 0. Therefore, filling in the point-slope form of a line using the slope of 0 and the given point:
y - 6 = 0(x -(-5)) and
y - 6 = 0(x + 5) and
y - 6 = 0x + 0 so
y - 6 = 0 and
y = 6.
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
V=147
Step-by-step explanation:
V=whl
V=6 inches*3.5 inches*7 inches
V=147
If someone could find the measurement of angle b that would be fantastic!!!
Step-by-step explanation:
hi, this looks complicated, however, let's deal with it.
using sine rule,
we have,
a/sin A= c/sin C
4.83/sin 46= 5.5/sin C
cross multiply
4.83sin C=5.5sin 46
sin C= (5.5sin46)/4.83
sin C= 0.8191
C=sin inverse of 0.8191
C=54.99 approximately 55
since we have C, we can now find B to get b or rather AC
A+B+C=180. (sum of angles in a triangle)
46°+ B + 54.99°=180°
B+ 100.99°=180°
B°=180°-100.99°
B=79°
since we have B, we can find b or rather AC
using cosine rule,
b²=c²+a²-2 x c x a x cos B
b²= 5.5² + 4.83² - 2 x 5.5 x 4.83 x cos 79°
b²=30.25+23.33-53.13cos79
b²=53.58-10.14
b²=43.44
b=6.59 approximately 6.6
The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches. Suppose the histogram of their heights follows the normal curve. Such a man that is 6 feet tall is at the percentile of this height distribution. (Enter the nearest whole number.) What is the 25th percentile, to the nearest inch
Answer:
a) 84th percentile.
b) The 25th percentile is of 67 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches.
This means that [tex]\mu = 69, \sigma = 3[/tex]
Such a man that is 6 feet tall is at the percentile of this height distribution.
6 feet = 6*12 inches = 72 inches. So this percentile is the p-value of Z when X = 72. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 69}{3}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84, so 84th percentile.
What is the 25th percentile, to the nearest inch
X when Z has a p-value of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 69}{3}[/tex]
[tex]X - 69 = -0.675*3[/tex]
[tex]X = 67[/tex]
The 25th percentile is of 67 inches.
Alisa spent 1/4 of her money on a shirt and 2/5 of her money on shoes. What fraction of Alisa's money has been spent?
Answer:
[tex] \frac{13}{20} [/tex]
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
OFFERING 15 POINTS FOR THIS QUESTION PLS DONT SCAM
Answer:
96
Step-by-step explanation:
3^4 = 81
3 * 5 = 15
81 + 15 = 96
What is the volume of the right cone shown below?
Answer:
D
Step-by-step explanation:
It’s correct
[tex]\frac{1}{3} *\pi *6^{2}*27[/tex]
[tex]=324\pi[/tex]
Does the point (5, 24) lie on the line y = 5x - 1?
Answer:
Step-by-step explanation:
Because 5x - 1 = 55 - 1 = 24 = y
Answer:
YesStep-by-step explanation:
[tex]( 5 \: \: \: \: \: \: \: \: 24) \\ replace \: \: \: x \: \: \: and \: \: y \\ y = 5x - 1 \\ 24 = 5 \times 5 - 1 \\ 24 = 25 - 1 \\ 24 = 24[/tex]
The point (5, 24) lie on the line y = 5x - 1hellllllllllllllp me
Answer:
the probability is a fraction or a percentage, some times even a decimal
If y varies inversely as the square root of x, what is the constant of proportionality if y = 16 when x = 4?
What one is the answer a B or C
Answer:
1
Step-by-step explanation:
a it is 1 because
can u see perpedicular symbol
Answer:
1 line.
A perpendicular line is a line that meets another line and forms a 90° angle.
If you look at the diagram, only the middle line forms a 90° angle when it meets line AB
Which inequality represents all values of X for which the product below is defined?
Answer:
x ≥6
Step-by-step explanation:
Given the product:
√(x-6)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(x-6)*√(x+3)≥0
Find the product
√(x-6)(x+3)≥0
Square both sides
(x-6)(x+3)≥0
x-6≥0 and x+3≥0
x≥0+6 and x ≥0 - 3
x ≥6 and x ≥-3
Hence the required inequality is x ≥6
Simplify the expression using trigonometric identities (csc θ – csc θ · cos^2 θ).
options:
A)
sin^2 θ
B)
sin θ · tan θ
C)
sin^3 θ
D)
sin θ
Answer:
Solution given:
cscθ -cscθcos²θ
taking common
cscθ(1-cos²θ)
we have
1-cos²θ=sin²θ and cscθ=1/sinθ
now
1/sinθ*sin²θ
=sinθ
so
D)
sin θ is a required answer.
। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay
Answer:
Factorizing 4x2 - 9y2, we get
(2x)2 - (3y)2, by using the identities of a2 - b2.
= (2x + 3y) (2x - 3y)
Step-by-step explanation:
You play a game where you first choose a positive integernand thenflip a fair coinntimes. You win a prize if you get exactly 2 heads. How should youchoosento maximize your chance of winning
Solution :
The probability of winning when you choose n is = [tex]$^nC_2\left(\frac{1}{2}\right)^n$[/tex]
[tex]$n\left(\frac{n-1}{2}\right)\times \left(\frac{1}{2}\right)^n = n(n-1)\left(\frac{1}{2}\right)^{n+1}$[/tex]
Apply log on both the sides,
[tex]$f(n) = \log\left((n)(n-1)\left(\frac{1}{2}\right)^{n-1}\right) = \log n +\log (n-1)+(n+1) \ \log\left(\frac{1}{2}\right)$[/tex]
Differentiation, f(x) is [tex]$f'=\frac{1}{x}+\frac{1}{(x-1)}+\log\left(\frac{1}{2}\right)$[/tex]
Let us find x for which f' is positive and x for which f' is negative.
[tex]$\frac{1}{x}+\frac{1}{(x-1)} > 0.693$[/tex] , since [tex]$\log(1/2) = 0.693147$[/tex]
For x ≤ 3, f' > 0 for [tex]$\frac{1}{x}+\frac{1}{x-1}+\log\left(\frac{1}{2}\right)>0$[/tex]
[tex]$\frac{1}{x}+\frac{1}{x-1}-0.6931470$[/tex]
That means f(x) is increasing function for n ≤ 3
[tex]$\frac{1}{x}+\frac{1}{x-1}< 0.693147 $[/tex] for x > 4
f' < 0 for n ≥ 4, that means f(n) is decreasing function for n ≥ 4.
Probability of winning when you chose n = 3 is [tex]$3(3-1)\left(\frac{1}{2}\right)^{3+1}=0.375$[/tex]
Probability of winning when you chose n = 4 is [tex]$4(4-1)\left(\frac{1}{2}\right)^{4+1}=0.375$[/tex]
Therefore, we should chose either 3 or 4 to maximize chances of winning.
The probability of winning with an optimal choice is n = 0.375
If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ]
Answer:
2x+1
Step-by-step explanation:
f(g(x))= (2x)+1
(2)x+1
Sixth grade
Jacob is planting flowers for his grandmother. This morning, he spent an hour planting
annuals and an hour planting perennials, but he planted more annuals than perennials. This
afternoon, he has the same number of annuals and perennials left to plant. Which will likely
take him more time to plant?
Step-by-step explanation:
Guess "This afternoon l,he has the same number of annuals and perennials left to plant will take more time to plant.
Help me please I don’t understand
=========================================
Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
solve equations using inverse operations HELP NOW!!
Algebra
The inverse of -9n is dividing by -9.
[tex]n = - 5[/tex]
Answer:
n=−5
Step-by-step explanation:
what we have −9n=45
we divide -9 on both sides:
−9n/-9 =45/-9
n=−5
Hope this is right!
how can u stand applying math to every thing doesn't it make every thing repetitive and why does every thing need a pattern doesn't that just make every thing worthless cause what's the point if every thing repeats and no this is not about history
Convert 25 miles into kilometres
Answer:
1 miles= 1.609km
so, 25x1.609 = 40.225km
Question Progress
Homework Progress
54/118 Marks
A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
Area = 105.6 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]