Answer:
[tex]sin A = \frac{15}{17}, \ sec A = \frac{17}8[/tex]
Step-by-step explanation:
[tex]15cot A = 8\\\\cotA = \frac{8}{15}\\\\1 + cot^2A = cosec^2 A\\\\1 + (\frac{8}{15})^2 = cosec^2 A\\\\1 + \frac{64}{225} = cosec^2A\\\\\frac{225+64}{225} = cosec^2 A\\\\cosec^2 A = \frac{289}{225}\\\\cosec A = \frac{17}{15}\\\\That \ is, \ \frac{1}{sin A} = \frac{17}{15}\\\\sin A = \frac{15}{17}[/tex]
[tex]cot A = \frac{8}{15}\\\\\frac{cos A}{sinA} = \frac{8}{15}\\\\cos A = \frac{8}{15} \times sin A = \frac{8}{15} \times \frac{15}{17} = \frac{8}{17}\\\\\frac{1}{cosA} = \frac{17}{8}\\\\sec A = \frac{17}{8}[/tex]
a windowpane is 5.7 Inches by 7.1 inches. what is the distance between opposite corners of the windowpane? if necessary, round to the nearest tenth
Answer:
the distance is 9.1 inches (please give brainliest)
Step-by-step explanation:
we must use the pythagorean theorem:
5.7^2 + 7.1^2 = c^2
(c being the distance being the two corners)
c^2 = 82.9
c = sqrt(82.9) ≈ 9.1
Help me with C number please. Show me how did you do that. It’s due in 30 minutes.
Step-by-step explanation:
[tex]A = x^2-xy+y^2\\C =x^4+x^2y^2+y^4[/tex]
We will now divide C with A.
[tex]\frac{x^4+x^2y^2+y^4}{x^2-xy+y^2}[/tex]
Divide x^2, -xy, y^2. Remember that dividing exponents results in subtracting.[tex]x^4 / x^2 = x^2\\4 - 2 = 2[/tex]
So:
[tex]\frac{1}{x^2+xy+y^2}[/tex]
jill has 15 feet ribbion how many yards ribbon does she have
Answer:
Step-by-step explanation
You would take 15 ft and divide it by how many feet are in a yard which is 3.
Answer - Jill has 5 yards of ribbon
Answer:
5 yards
Step-by-step explanation:
every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards
The identity sin (theta/2) = +- sqrt 1-cos theta/2 is derived from which other identity?
Answer:
2nd option
Step-by-step explanation:
Using
sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )
sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]
Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then
sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]
What is the equation of the line that passes through the point (−7,4) and has a slope of 0?
Answer:
Step-by-step explanation:
equation of a line
y=mx+b
y=0*x+b
y=0+b
y-0=b
since the line passes through the point (-7,4) it satisfies the equation
4-0=b
4=b
substituting the value of b in
y-0=b
y-0=4 is the required equation.
Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
WILL MARK BRAINLIEST
Answer:
1 sample
Step-by-step explanation:
There is only one sample given for 20%
Answer:
the answer would be
b) 1 sample
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
Please help me ASAP!!
Answer:
Step-by-step explanation:
cos theta=4[tex]\sqrt{2}[/tex]/7
so here adjacent=4[tex]\sqrt{2}[/tex] ,hypotenuse=7 ,opposite=?
h^2=p^2+b^2
7^2=(4[tex]\sqrt{2}[/tex] )^2+b^2
49-32=b^2
[tex]\sqrt{17}[/tex] =b
sin theta=opposite/hypotenuse
=[tex]\sqrt{17[/tex]/7
I'm so confused pls help
Answer:
Step-by-step explanation:
Slope = 3.200/2.000 = 1.600
x-intercept = 5/8 = 0.62500
y-intercept = 5/-5 = 1/-1 = -1.00000
Express 3/10 as a decimal
Answer:
0.3
Step-by-step explanation:
When we divide by 10, we want to imagine a decimal point going up a place.
Think of it like this:
03.0
When we divide by 10, the decimal goes up a digit:
0.30 or 0.3
A . What is the slope in the line of the graph ?
Answer:
0.2x+3
Step-by-step explanation:
hi please help I'll mark u brainliest
Answer:
v = 16, u = 15
Step-by-step explanation:
(a)
Substitute the given values into the formula
v = 10 + 2(3) = 10 + 6 = 16
(b)
Substitute the given values into the formula
50 = u + 5(7)
50 = u + 35 ( subtract 35 from both sides )
15 = u
PLEASE HELP I WILL MARK YOU BRAINIEST
(1) A chef uses 10 strawberries for each order of a certain dessert. At the end of the night, 300 strawberries have been used. How many of that dessert was ordered that night?
(2)A charity event is trying to raise $100,000 for cancer awareness. After the event is over, they earned $142,000.How much more did they earn than their goal?
Answer:
1. 30 desserts
2.42,000
what is the answer? please helppp
Answer:
1/4
Step-by-step explanation:
Probability is: (ways to get a desired result) / (total possible outcomes)
Choosing a yellow ball would be a desired result.
So, using the numbers that the question gives us,
(3 ways to get a yellow ball) / (12 golf balls total) =
3 / 12 =
1 /4
The answer is 1/4 chance.
Answer:
3/12 0r 1/4 <--- Simplified
Step-by-step explanation:
so there are 3 yellow which are in 12 gold balls so
it would be 3/12 or simplified 1/4
what is the answer pls help
The Lewis dot model of an atom has three dots. Which of the following statements is true about the atom?
It has three valence electrons.
It has three innermost shell electrons.
It has three energy levels.
It has three subshells.
The Lewis dot model of an atom has three dots. The statement that is true about the atom is it has three valence electrons. The correct option is A.
What is a Lewis dot model?Lewis dot model or Lewis structure is a method that was given by Gilbert N. Lewis. It was introduced in 1963. The model is made to put dots around the elements. These dots show the valence electron of the atoms. The model was extended by putting lines around the element.
If an atom has three dots around us, it means the element has three valence electrons. The element is lithium. Lithium has three electrons that are lone or valence, which means it can share and donate three electrons.
Thus, the correct option is A. It has three valence electrons regarding true about the atom.
Learn more about the Lewis dot model, here:
https://brainly.com/question/20300458
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Calista conducts a survey to determine the favorite activity of students at her middle school. She asks five seventh-grade girls who are in the school library what they like to do best, and since all of these students answer that their favorite activity is reading, Calista states that the favorite activity of students at her middle school is reading. Explain the flaw in Calista's reasoning. Describe a sampling method that would produce valid information about the favorite activity of students at Calista's middle school.
Answer:
gimme pints
Step-by-step explanation:
Did I get this right ?
Answer:
square root of 15 is the answer
Step-by-step explanation:
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
factorise
x^3 - 2x^2 -x+2
Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
Answer:
[tex](x - 1)(x + 1)(x - 2)[/tex]
Step-by-step explanation:
[tex]x^3 - 2x^2 - x + 2[/tex]
Take x² common from first two terms.[tex]=> x^2(x - 2) -1(x - 2)[/tex]
Take (x - 2) common from whole expression.[tex]=> (x - 2)(x^2 - 1)[/tex]
Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)[tex]=> (x - 2)(x + 1)(x - 1)[/tex]
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.
Answer:
[tex]f = \frac{720}{11}[/tex]
Step-by-step explanation:
Given
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation
[tex]f = 60; T = 121; L = 12[/tex]
Required
Find f, when T =81; L = 9
We have:
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]
Express as equation
[tex]f = k\frac{\sqrt T}{L}[/tex]
Make k the subject
[tex]k = \frac{fL}{\sqrt T}[/tex]
When [tex]f = 60; T = 121; L = 12[/tex]
[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]
[tex]k = \frac{60 * 12}{11}[/tex]
[tex]k = \frac{720}{11}[/tex]
To solve for f, when T =81; L = 9
We have:
[tex]f = k\frac{\sqrt T}{L}[/tex]
[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]
[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]
[tex]f = \frac{720}{11} * 1[/tex]
[tex]f = \frac{720}{11}[/tex]
Please help!
From the table what are the x and y intercepts in coordinate form?
Answer:
(0,3) is the x intercept
(3,0) is the y intercept
Step-by-step explanation:
When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept
please help. It’s due tomorrow.
Answer:
It is assumed you need to find the area of shaded region.Results rounded to the nearest hundredth.#1
Shaded area:
A = 32² - 16*π*(32/8)² = 219.75 cm²#2
Shaded area:
A = π*2² - 2*π*(2/2)² = 6.28 cm²219.75cm²
3.14cm²
Answer:
Solution given:
1.
[r]radius of each circle =32/8=4cm
[l]length of square=32cm
Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²
Step-by-step explanation:
radius for big circle [R]=2cm
radius for small circle [r]=1cm
area of shaded region=area of big semi circle -2 area of semi small circle
=½πR²-2*½πr²
=½*π*2²-π*1²
=2π-π
=π=3.14cm²
Find c. Determine it from the choices below.
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
can someone please help with this i don’t know how to do it 85points
Answer:
Step-by-step explanation:
You can find the area by cutting it across in the middle into a trapezoid and a rectangle.
The trapezoid will have:
height = 10-4 = 6ft
top = 9-6 = 3ft
bottom = 8ft
So its area = 1/2*(3+8)*6 = 33 ft^2
The rectangle will have:
length = 10ft
width = 6ft
So its area = 10*6 = 60 ft^2
Total area = 60+33 = 93 ft^2
Answer:
93 ft^2.
Step-by-step explanation:
Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).
First find the area of the rectangle;
10*6 = 60 save that for later;
The dimensions of the second rectangle are not given but you can solve for them.
The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.
The height of the second rectangle is given by 9ft. - 6ft.
Multiply the width (base) and height;
6*3=18
The base of the triangle is the same as the second rectangle's. Use that for the base. The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.
1/2(5*6) = 15
Add all of the values together;
15+18+60 = 93 ft^2
Witch is greater 17% or 4/25
Answer: 17%
Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.
The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.
Answer:
1
Step-by-step explanation:
Someone pls help, its on trig ratios.
Answer:
[tex]BC=12.8,\\AC=15.1[/tex]
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]
Solving, we get:
[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]