Step-by-step explanation:
Let find the other trig function first, just sin s and sin c.
Use pythagoren identity to find sin a.
[tex]1 - \cos {}^{2} (s) = \sin {}^{2} (s) [/tex]
cos s=3/5 so cos^2(s)=9/25
[tex]1 - \frac{9}{25} = \sin {}^{2} (s) [/tex]
[tex] \frac{16}{25} = \sin {}^{2} (s) [/tex]
[tex] \frac{4}{5} = \sin(s) [/tex]
Since this is in the first quadrant, it is positve.
Let do the the same thing for sin t.
[tex]1 - \frac{169}{289} = \sin {}^{2} ( {}^{} t) [/tex]
[tex] \frac{120}{289} = \sin {}^{2} (t) [/tex]
[tex] \frac{2 \sqrt{30} }{17} = \sin(t) [/tex]
Now, we can compute
a.
[tex] \sin(s + t) = \sin(s) \cos(t) + \cos(s) \sin(t) [/tex]
[tex] \frac{4}{5} \times \frac{13}{17} + \frac{3}{5} \times ( \frac{2 \sqrt{30} }{17} )[/tex]
[tex] \frac{52}{85} + \frac{6 \sqrt{30} }{85} [/tex]
[tex] \sin(s + t) = \frac{52 + 6 \sqrt{30} }{85} [/tex]
b
[tex] \tan(s + t) = \frac{ \tan(s) + \tan(t) }{1 - \tan(s) \tan(t) } [/tex]
Tan s is 4/3
Tan t is 2 times root of 30/ 13
So we have
[tex] \frac{ \frac{4}{3} + \frac{2 \sqrt{30} }{13} }{1 - \frac{8 \sqrt{30} }{39} } [/tex]
[tex] \tan(s + t) = \frac{52 + 6 \sqrt{30} }{39 - 8 \sqrt{30} } [/tex]
c. They are all in 1st quadrant
Question is down below:
ture
Step-by-step explanation:
the position would be not possible if for not for both
Evaluate 1/3 ( 9 - k ) using the distributive property
Answer:
3-[tex]\frac{1}{3}[/tex]k
Step-by-step explanation:
when using the distributive property multiply 1/3 into everything inside the parentheses.
So your first step is to multiply 1/3 to 9.
[tex]\frac{1}{3}[/tex] x [tex]\frac{9}{1}[/tex] keeping in mind that all numbers are divisible by one.
then you get your answer of [tex]\frac{9}{3}[/tex] which equals 3.
From there you want to distribute the [tex]\frac{1}{3}[/tex] into k but you don't know what "k" is so you'll have an answer of [tex]\frac{1}{3}[/tex]k meaning that k whatever it is. Is being multiplied by the [tex]\frac{1}{3}[/tex].
A new cookbook is becoming popular. The local bookstore ordered 414 copies in June, 414 copies in July, 414 copies in August, and 414 copies in September.
Is it arithmetic, geometric, neither, or both?
Answer:
Arithmetic
Step by-step explanation:
Arithmetic definition:
the branch of mathematics dealing with the properties and manipulation of numbers
Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored form of his polynomial? (6x2 7) (x –2) (6x2 – 2) (x 7) (6x2 2) (x – 7) (6x2 – 7) (x 2).
The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
What is a factor?A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,
[tex]6x^3-12x^2+7x - 14 \\\\[/tex]
Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as
[tex]6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)[/tex]
Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
Learn more about Factors:
https://brainly.com/question/6810544
Answer:
A
Step-by-step explanation:
hi pls help answer this!
Answer:
363-138=-5x
Step-by-step explanation:
Let c = cost
We know that the total cost is $363:
363-??????
We also know that he spent $138 on parts:
363-138?????
And we are solving for the cost of labor per hour:
363-138=5x
We can use this equation to find the total cost of labor per hour.
Hence, your equation will be 363-138=5x
55: POINTS PLUS BRAINLIEST IF RIGHT Answer THE ATTACHMENTS
Answer:
The second one and the last one
If TRAPis an isosceles trapezoid, what is the value of x?
Answer:
C ..................................
HELP ME PLEASEEEEE ill give 30 POINTS AND BRAINLIEST
find angle w
which shows the algebraic representation of the phrase and its value when n = 4.2?
“twenty-eight plus the product of five and a number”
28 minus 5 n; when n = 4.2 the value is 7
28 + 5 n; when n = 4.2 the value is 49
28 n minus 5; when n = 4.2 the value is 112.6
28 n + 5; when n = 4.2 the value is 122.6
Answer:
B is the answer because 28 + the product is n so it is B.
Step-by-step explanation:
hey guys i need help
Answer:
9 yards
Step-by-step explanation:
from the maple-> end, it is 28 2/6 yards. that means we add the segments that are already there to find how much of 28 2/6 is there between the maple and oak.
11 3/6 + 7 5/6 = 19 1/3
28 2/6 - 19 1/3 = 9
Help please I’m literally desperate
Answer:
I think the answers are 9 and 18.
Step-by-step explanation:
i think this because 3 x 3 is 9 and 9 x 2 = 18 then add another 9 to get 27.
Have an amazing day!
Please rate!
Answer:
3,11,19,27
Step-by-step explanation:
difference is 8 between
PLEASE I NEED HELP!!!
The members of a school club sold sweatshirts for $15 each. They made $960 in sales. The equation 15x = 960 can
be used to determine x, the total number of sweatshirts they sold.
Which number line best represents the total number of sweatshirts they sold?
Answer:
A
Step-by-step explanation:
15x = 960
so,
x = 960/15 = 64
they sold 64 sweatshirts.
the answers C and D are outright nonsense for this question. we are not dealing with inequalities or intervals, we have one point of solution for the problem : x = 64.
on the provided scales only A can be the right answer.
What is the common difference in the following function: f(x) = 3 •3^3x
just the first one
question in the image please help!!
At the end Of the night. A diner had 2 1/4 chocolate cakes and 1 1/2 pies left. How much more chocolate cake was left then pie ?
Answer:
-1
Step-by-step explanation:
1/4 * 2 = 0.5
0.5 - 1.5 = -1
Answer:
3/4
Step-by-step explanation:
subtract 2 1/4 by 1 1/2 by turning them into improper fractions
9/4 and 3/2
then convert both denominators to 4
9/4 and 6/4
subtract 9 by 6 and u get 3
9/4-6/4=3/4
An employee at an electronics store makes $12 per hour, plus a commission of 4.5% of her sales.
This week she has sold 36 televisions averaging $620 each.
What is her commission this week?
Enter the correct answer in the box.
Answer:
The employee earned a total of $1004.40 dollars in commissions this week
Step-by-step explanation:
Times the number of televisions (36) by there cost ($620)
That will give you $22320
Then time $22320 by 0.045 which will give you $1004.40
Hope that helps
What is the volume of a sphere with a radius of 30.5, rounded to the nearest 10th of a cubic centimeters
What is the product? (9 t minus 4)(negative 9 t minus 4) negative 81 t squared minus 16 negative 81 t squared 16 negative 81 t squared minus 72 t 16 negative 81 t squared 72 t 16
The product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,
[tex]-81t^2+16[/tex]
What is the product?Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
[tex]p=a\times b[/tex]
Here, (a, b) are the real numbers.
The binomial given in the problem are,
[tex](9t-4)\\(-9t-4)[/tex]
Let the product of the above function is p. Thus,
[tex]p=(9t-4)\times(-9t-4)[/tex]
To find the product of these two binomials, multiply the first term of first binomial with both the terms of the second binomial.
Similarly, multiply the second term of first binomial with both the terms of second binomial. Thus,
[tex]p=9t(-9t-4)-4(-9t-4)\\p=-81t^2-36t+36t+16\\p=-81t^2+16[/tex]
Thus, the product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,
[tex]-81t^2+16[/tex]
Learn more about the product of two numbers here;
https://brainly.com/question/10005040
Answer: B
Step-by-step explanation:
A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 1 centimeter. It has a cone tip with a height of 3 centimeters. What is the volume of the stylus? Express your answer in terms of π.
The volume of the cylindrical stylus having a conical tip will be V=14π [tex]cm^{3}[/tex]
What will be the volume of the stylus?It is given that
height of the cylindrical shape of the stylus h=13cm
radius of stylus r= 1cm
height of the conical tip of the stylus h=3cm
Now we know that the
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
The volume of the cone = [tex]\dfrac{1}{3} \pi r^{2} h[/tex]
The total volume of the stylus = volume of the cylinder +volume of the cone
Total volume = [tex]\pi r^{2} h + \fdrac{1}{3} \pi r^{2} h[/tex]
now by putting the values
[tex]=\pi (13)(1)^{2} +\dfrac{1}{3} \pi (1)^{2} (3)[/tex]
So the total volume = [tex]14\pi cm^{3}[/tex]
Thus the volume of the cylindrical stylus having a conical tip will be V=14π [tex]cm^{3}[/tex]
To learn more about the volume of cylinder and cone follow
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Please can someone help me?
Answer:
math po bayun
Step-by-step explanation:
anong grade
In a school the number of girls exceeds the number of boys by 15%. Find the ratio of the numbers of boys to girls,
Answer:
3x-x+2=4
Step-by-step explanation:
Number of boys = x
Number of girls = x plus 15% of x = 1.15x
Ratio of boys to girls x:1.15x = 1:1.15 = 20:23[tex]\\[/tex]
[tex]\\[/tex][tex]\\[/tex]
Which value of x makes the equation 6(x−2)=3−9x true?
−5
− − 5
−53
− − 5 3
13
1 3
1
Step-by-step explanation:
6(x - 2) = 3 - 9x
6x - 12 = 3 - 9x
-12 = 3 - 15x
-15 = - 15x
x = 1
Volume of a right circular cone that has a height of 9. 5 m and a base with a circumference of 10 m
I want to know what 64 take away 3 is
Hey there!
CHOICE A. j = 4
6j - 3
= 6(4) - 3
= 24 - 3
= 21
Thus, the answer is: 21
CHOICE B. b = 3
b(b) + 5
= 3(3) + 5
= 9 + 5
= 14
Thus, the answer is: 9
CHOICE C. k = 3.5
8 + 4k
= 8 + 4(3.5)
= 8 + 14
= 22
Thus, your answer is: 22
All you had to do was substitute the values of the letters into the equation to find your answer.
For 64 - 3 you have to START at 64 and go BACK 3 spaces DOWNWARD (also known as to the LEFT of the number line) and you should be STOPPED on 61. So, 64 - 3 would most likely be: 61
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A grain silo is composed of a cylinder and a hemisphere. the diameter is 4.4 meters. the height of its cylindrical portion is 6.2 meters. a half-sphere is stacked on top of a cylinder. they both share a circular base. the cylinder has a height of 6.2 meters and the sphere has a diameter of 4.4 meters. what is the approximate total volume of the silo? use 3.14 for π and round the answer to the nearest tenth of a cubic meter. 37.1 m3 71.9 m3 116.5 m3 130.8 m3
The total volume of the silo is 116.6 m³.
What is a grain silo in this problem?It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.
Diameter of the cylinder of the silo= 4.4m
So, the radius r of the cylinder will be = 2.2m
The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)
Height h of the cylinder = 6.2m
The total volume of the silo will be the combined volume of the cylinder and hemisphere.
The volume of cylinder = [tex]\pi r^{2} h[/tex]
The volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
Total volume = [tex]\pi r^{2} h+ \frac{2}{3} \pi r^{3}[/tex]
total volume = [tex]\pi r^{2} (h+\frac{2}{3} r)[/tex]
Total volume = [tex]\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)[/tex]
Total volume = 116.6 m³.
Therefore, the total volume of the silo is 116.6 m³.
To get more about solids visit:
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Answer:
116.6
Step-by-step explanation:
e2020
Which graph represents the function? f(x)= x^2 − x − 2
what is the vertex of y=-(x-5)^2?
Answer:
vertex:
x= 5
y= 0
coordinates: (5,0)
Step-by-step explanation:
A boat is worth $10,000 when it is 5 years old and $4,000 when it is 8 years old. What is the rate of depreciation? PLEASE ANSWER ASAP
• $2,500
• $1,500
• $1,000
• $ 2,000
Answer:
$2,000
Step-by-step explanation:
10,000-4,000=6,000
8-5=3
The value decreased 6,000 over the course of 3 years
6,000/3=2000
The value decreased by 2,000 per year.
Which is the slope of the line that passes through the points (4,2) ( 4 , 2 ) and (6,7) ( 6 , 7 ) ?
Answer:
[tex]m=\frac{5}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:7\right)[/tex]
[tex]m=\frac{7-2}{6-4}[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]m=\frac{5}{2}[/tex]
What is one thing you learned in unit 3 geometry?
Answer: Geometry is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things. Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.
geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
Answer: The basic geometrical concepts are dependent on three basic concepts. They are the point, line and plane. We cannot precisely define the terms. But, it refers to the mark of the position and has an accurate location.
In two dimensions there are 3 geometries: Euclidean, spherical, and hyperbolic.
-by-step explanation: is that Ur real pfp?
Answer: A lot of useless math.
Step-by-step explanation: I learned a bunch of math, I'll forget in like 2 years and never use, through-out my entire life.