Answer:
[tex]cos \theta = 0.6[/tex]
Step-by-step explanation:
Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]
[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]
The value of cos θ is,
⇒ cos θ = 0.6
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
Hence, We can formulate;
⇒ cos θ = 0.6 / 1
⇒ θ = cos ⁻¹ 0.6
⇒ θ = 53.13°
Thus, The value of cos θ is,
⇒ cos θ = 0.6
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4. If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
Oxygen
Step-by-step explanation:
That's what I think
For each square there are 3 circles. Which model shows this relationship?
ОО
Answer:
The one in the middle 100% correct
Answer:
second option
Step-by-step explanation:
Ratio of square to circle = 1 : 3
In the second option:
Square = 2 & circles = 6
Ratio = 2 : 6 and after simplifying, Ratio = 1 : 3
Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n
Answer:
9 < x
6 - f
t × 6
1/2n
Step-by-step explanation:
Given expressions:
9 less than x
Less than (<)
9 less than x = 9 < x
6 minus f
Minus (-)
= 6 - f
t multiplied by 6
Multiplication (×)
= t × 6
one half of a number n
One half = 1/2
one half of a number n
= 1/2 × n
= 1/2n
= n/2
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]
1) Find the measure of 0. (imagine that is an x) 2) Then, find the measure of AB. (the length from A to B)
Answer:
θ ≈ 50°, AB ≈ 15.6
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{11.9}{10}[/tex] = 1.19 , then
θ = [tex]tan^{-1}[/tex] (1.19 ) ≈ 50° ( to the nearest degree
-----------------------------------------------------------------
Using the cosine ratio in the right triangle
cos50° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{10}{AB}[/tex] ( multiply both sides by AB )
AB × cos50° = 10 ( divide both sides by cos50° )
AB = [tex]\frac{10}{cos50}[/tex] ≈ 15.6 ( to 1 dec. place )
The sides of the triangular base of prism are 10 cm 8 cm and 6cm respectively and it is 15 cm long .Find the total suface area of the prism.
Answer:
408 cm²
Step-by-step explanation:
the total SA = (2×½×6×8) + (10+8+6)×15
= 48 + 360
= 408 cm²
The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
What is a triangular base?In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.
The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.
A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.
The total surface area of the prism calculations are,
b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm
[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]
Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
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• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be
7
18
11
0
Answer:
please mark me brainlist
Step-by-step explanation:
is dilated to become LaTeX: g\left(x\right)=\frac{1}{3}\cdot4^x. What is the specific effect on LaTeX: f\left(x\right)
Answer:
f(x) is shrinked
Step-by-step explanation:
Given
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
Required
The effect of dilation on f(x)
From the given parameters, we have:
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
On a general term;
[tex]g(x) = k * f(x)[/tex]
So by comparison:
[tex]k = \frac{1}{3}[/tex]
When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink
Simplify the radical (180°.
Answer:
radical is sqrt we find 180 sqrt root
Step-by-step explanation:
first we write sqrt 180
sqrt 180 = ?
we can choose first two letters
18 are two letters
4^2 + 2 = 18
so first + third number choose
4 , 2 are number choose
4 + 2 sqrt (4+2-1)
6 sqrt 5
sqrt 180 = 6sqrt 5
If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?
Answer:
are you asking how many points are needed to get 90% in
a class that has a total of 3400 points ?
id so that is : 3060
Step-by-step explanation:
A farmer in China discovers a mammal
hide that contains 37% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t=0)
N = amount of C-14 at time t
k= 0.0001
t = time, in years
Answer:
Step-by-step explanation:
I'm going to take a giant leap here and guess that you are looking for how old this mammal hide is. At least that's what I'm going to work out for you. Filling in the formula is relatively easy as long as we remember that the initial amount of hide was 100%:
[tex]37=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].37=e^{-.0001t}[/tex] In order to get that t down from its current position, we have to take the natural log of both sides. The reason we do natural log as opposed to common log is because the natural log will cancel out the e:
[tex]ln(.37)=ln(e^{-.0001t})[/tex] and again, because the log cancels out the e we have:
ln(.37) = -.0001t and divide both sides by -.0001 to get
t = 9942.5 years
Answer:
answer is 9943
Step-by-step explanation:
Work out the height of this triangle with base, b = 8mm and
area, A = 218.8mm?,
Answer:
54.7 mm
Step-by-step explanation:
use the formula area= 1/2 base time height
A=1/2bh
Answer:
54.7mm
Step-by-step explanation:
Area=1/2b×h
218.8=0.5×8×h
218.8=4h
h=218.8÷4
h=54.7
Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|
Answer:
I don't know I don't know about question
If the volume of a sphere is 36t cubic units, what is the radius?
Answer:
Volume of sphere = 4/3 * π * r³
Since 36π = 4/3 * π * r³, r³ = 27 and r = 3.
Step-by-step explanation:
9. Determine the volume of concrete needed to build a ramp in the shape of a triangular prism to the nearest tenth of a cubic metre.
Answer:
67.5
Step-by-step explanation:
I've learned this multiple ways but in my opinion this is the easiest. Just times everything together so, 40 x 2.5 x 1.2 which equals 135 and then divide 135 by 2 which equals your answer of 67.5 which is rounded to the nearestt tenth already.
Fiona rolls a fair dice 144 times.
How many times would Fiona expect to roll an even number?
There are 3 even numbers out of 6 total numbers.
Rolling an even number would be 3/6 = 1/2
She would expect half the rolls should be even.
144/2 = 72
The answer is 72 times.
plz help ASAP with explanation
Answer:
Kindly check attached picture
Step-by-step explanation:
Based d on the instruction given.
1.)
-3 * 6 = 18
6 * - 2 = - 12
-3 * - 2 = 6
2.)
We use logical reasoning to find 2 numbers whichbwhen multiplied gives the number in the box in between :
The answers are given in the picture attached.
A cost of a washing machine is 70 percent the cost of a dishwasher .Both cost 3400 dollars .What is the cost of the dishwasher.
Answer:
2000
Step-by-step explanation:
set up equation
.7x+x=3400
combine like terms
1.7x=3400
divide by 1.7 on both sides
x=2000
Use the graph below, find f(10).
6points!!!
Answer:
the answer is a
tell me if it’s rite or wrong I did the work as best as I could
f(10) is undefined.
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is the graph of a function?"It is the set of points on the coordinate plane which satisfies the given function."
For given question,
We need to find the value of a function at x = 10.
We can observe that, when x = 10, the function value 2 is denoted by an open circle.
This means the function do not have value 2 when x = 10
Therefore, f(10) is undefined.
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Find the value of the constant a for which the polynomial x^3 + ax^2 -1 will have -1 as a root. (A root is a value of x such that the polynomial is equal to zero.)
Answer:
[tex]{ \bf{f(x) = {x}^{3} + {ax}^{2} - 1 }} \\ { \tt{f( - 1) : {( - 1)}^{3} + a {( - 1)}^{2} - 1 = 0}} \\ { \tt{f( - 1) : a - 2 = 0}} \\ a = 2[/tex]
The polynomial function [tex]$x^3 + ax^2 -1[/tex] will have -1 as a root at the value of
a = 2.
What is a polynomial function?A polynomial function exists as a function that applies only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given: A root exists at a value of x such that the polynomial exists equivalent to zero.
Let, the polynomial equation be [tex]$x^3 + ax^2 -1[/tex]
then [tex]$\mathbf{f}(\mathbf{x})=\mathbf{x}^{3}+a \mathbf{x}^{2}-\mathbf{1}$[/tex]
Put, x = -1, then we get
[tex]$\mathbf{f}(-1)=(-1)^{3}+\mathrm{a}(-1)^{2}-1=0$[/tex]
f(-1) = a - 2 = 0
a = 2
Therefore, the value of a = 2.
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HELPPP SOMEONE PLEASSSSE
Answer:
c. -x -y = 5
Step-by-step explanation:
parallel means same x
a kid eat 5 sunscreen and sally eat seven sunscreen how much sunscreen was eat by both
Answer:
Both ate 12 sunscreens all together
5 + 7 = 12
Srsly tho, like who in their right mind eats sunscreen
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: [tex]\frac{33}{65}[/tex]
Step-by-step explanation:
cosine of ∠T = [tex]\frac{adjacent}{hypotenuse}[/tex]
For ∠T,
Adjacent side = 33Hypotenuse = 65cosine of ∠T = [tex]\frac{33}{65}[/tex]
The value of the trigonometric relation cos ∠T = 0.507
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔTUV
where the measure of ∠UVT = 90°
And , the measure of side UT = 65 units
The measure of VU = 56 units
And , the measure of TV = 33 units
From the trigonometric relations ,
cos θ = adjacent / hypotenuse
On simplifying , we get
cos ∠T = TV / UT
cos ∠T = 33 / 65
cos ∠T = 0.50769
Hence , the trigonometric relation is solved
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You have a large container of castor oil. You have used 34 quarts of oil.
Fifteen percent of the castor oil remains. How many quarts of castor oil
remain?
co
=====================================================
Explanation:
x = original amount of caster oil (in quarts)
Since 15% remains, this means you used 85% of the original amount x.
Note how 15% + 85% = 100%
So,
85% of x = 34 quarts
0.85x = 34
x = 34/0.85
x = 40
You started with 40 quarts of oil.
15% of that remains, meaning 0.15*40 = 6 quarts of oil are left over.
-----------
We could also solve like this
(amount used)/(amount total) = (percent)/(100)
34/x = 85/100
34*100 = x*85
3400 = 85x
85x = 3400
x = 3400/85
x = 40
So we end up with the same x value as before, and we follow the same set of steps at the end of the first section to end up with the answer of 6 quarts.
click the image below to find out the question.
what is the point-slope equation of the line with slope -12 that goes through the point (5,3)
Answer:
the correct answer is c
Step-by-step explanation:
because we use formule when we write a equation
Are the two triangles similar. If so, State how
Answer:
Yes by AAA
Step-by-step explanation:
Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar
Find p(0), p(1) and p(2) for the polynomial P(t) = 2 + t + 2t²-t³
p(0)=2
p(1)=2+1+2-1=4
p(2)=2+2+8-8=4