Answers
Step-by-step explanation:
just think back to the standard circle of radius = 1.
there the trigonometric functions are all represented as sides of right-angled triangles, where the radius is the baseline.
just like the triangle we are seeing here.
the only difference : the baseline (radius) is 17 and not 1.
and that is fine. everything is as in the standard circle, but multiplied by the radius (which is also true for the standard circle, but multiplying by 1 does not change anything, right ?).
a)
angle A is or focus. so, just imagine the triangle turned counterclockwise by 90° (so that AC is horizontal and CB is vertical).
do you see it now ?
sin is the vertical leg, cos the horizontal leg. and the leg lengths here are the standard functions multiplied by the radius.
so,
17 × sin A = 8
sin A = 8/17 = 0.470588235... ≈ 0.47
b)
17 × cos A = 15
cos A = 15/17 = 0.882352941... ≈ 0.88
c)
now B is our focus. imagine the triangle being mirrored at point B, so that B is left, and AC is right. your see it now ?
tan B = sin B / cos B
sin B = 15/17 = 0.882352941... ≈ 0.88
cos B = 8/17 = 0.470588235... ≈ 0.47
tan B = 15/17 / 8/17 = 15/8 = 1.875 ≈ 1.88
d)
cos B = 8/17 = 0.470588235... ≈ 0.47
Related Questions
9 subtracted from 2x gives the result 5 Find the value of x.
Answers
Answer:
x = 7
Step-by-step explanation:
Just write what you see in terms of a formula.
2x - 9 = 5
Solve for x
add both sides by 9
2x = 5 + 9
2x = 14
divide both sides by 2
x = 14/2
x = 7
Answer:
x = 7
Step-by-step explanation:
9 subtracted from 2x gives the result 5. Find the value of x.
Translate:
2x - 9 = 5
Simplify:
2x - 9 = 5 <== add 9 to both sides
+ 9 + 9
2x = 14 <== divide both sides by 2 to isolate the variable
/2 /2
x = 7
Hope this helps!
I can buy a box of cereal for $3.50 that comes with 35 half-cup servings.
Answers
Round 67.34 to the nearest tens place
A. 68
B. 67
C. 70
D. 60
Answers
Answer:
67 because it is closer to 67 than other options
Answer:
67 B
Step-by-step explanation:
7 ft
8 ft
8 ft
5 ft
5 ft
Find the total surface area of the prism
Answers
Answer:
look up surface area calculator
Step-by-step explanation:
The surface area of the triangular prism is 161 square feet. Then the correct option is A.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
The surface area is calculated as,
SA = (5 x 5) + (5 + 5 + 7) x 8
SA = 25 + 17 x 8
SA = 25 + 136
SA = 161 square feet
Thus, the correct option is A which is top left.
More about the surface area of a triangular prism link is given below.
https://brainly.com/question/16765719
#SPJ2
Please help me
Solve for JL
Answers
Set 3x+4 = 5x-16
=> x= 28/5
Substitute back to the equation ( either one would work be cause they are equal) : 3 ( 28/5) +4 = 20.8
We have JL = JM+ML
=> JL = 20.8+20.8 = 41.6
Explain
JM= ML substitute values to get
3x+4=5x-16
add 16
subtract 3x from both side to
get 20 =2x
divide by 2
get x= 10
So
50 JM =3x 10+4=34
so JL = 2JM
substitute value to get
JL=2 x34
That should equal to 68
Do you have any doubts?
Please answer this question with full working and explanation
And I reward that person with stars.
Answers
Answer:
3 7/12
Step-by-step explanation:
First find the common denominator.
8,16,24
3,6,9,12,15,18,24
Once you find the common denominator. You have to fix the numerator.
7 2/8 would become 7 6/24
Whole numbers stay the same.
8 x 3 = 24
2 x 3 = 6
Now we repeat it on the other mixed number.
3 2/3 would become 3 16/24
Again whole numbers stay the same.
3 x 8 = 24
2 x 8 = 16
Once you convert the fractions to having the same denominator you subtract like normal.
7 6/24 - 3 16/24 = 3 14/24
3 14/24 can be simplified to 3 7/12
Answer:
[tex]\boxed{3 \dfrac{7}{12}}[/tex]
Step-by-step explanation:
The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].
⇒ [tex]7\dfrac{2}{8} - 3\dfrac{2}{3}[/tex]
⇒ [tex]\dfrac{7 \times 8 + 2}{8} - \dfrac{3 \times 3 + 2}{3}[/tex]
⇒ [tex]\dfrac{56 + 2}{8} - \dfrac{9 + 2}{3}[/tex]
⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]
The next step in simplifying the expression is to make the denominators of both fractions equivalent.
⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]
⇒ [tex]\dfrac{58 \times 3}{8 \times 3} - \dfrac{11 \times 8}{3 \times 8}[/tex]
⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]
The third step in simplifying the expression is to subtract the fractions.
⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]
⇒ [tex]\dfrac{86}{24}[/tex]
The fourth step in simplifying the expression is to simplify the difference of the two fractions.
⇒ [tex]\dfrac{86}{24}[/tex]
⇒ [tex]\dfrac{86 \div 2}{24 \div 2}[/tex]
⇒ [tex]{\dfrac{43}{12}}[/tex]
The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.
⇒ [tex]{\dfrac{43}{12}}[/tex]
⇒ [tex]{\dfrac{36}{12}} + \dfrac{7}{12}[/tex]
⇒ [tex]3 + \dfrac{7}{12}[/tex]
⇒ [tex]\boxed{3 \dfrac{7}{12}}[/tex]
A. 113 cm²
B. 133 cm²
C. 133.14 cm²
D. 113.13 cm²
Answers
Step-by-step explanation:
Surface area of cone = πr ( l + r)
= 22/7 × 4 (5+4
= 88/7 × 9
= 792/7
= 113.14 cm²
Answer:
D. 113.13 cm^2.
Step-by-step explanation:
I am assumming you want the surface area of this cone.
This = area of base + area of the curved side
= π r^2 + π r L
= 4^2 π + 4*5 π
= 113.13 cm^2.
Please help!
Complete the statements to compare the areas of the two figures and find the area of the base of the cylinder.
Select the correct answer from each drop-down menu.
When the sectors of the circle are rearranged, they are close to forming a _____(rectangle/square/trapezoid) with a length of___ (2*pi*r/pi*r/r) units and a width of r units.
The area of the rearranged figure is_____ (equal/greater than/less than) to that of the circle. So, the area of the circular base_____(pi*r/pi*r*r/2*pi*r/2*pi*r) square units.
Answers
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
What is a Trapezoid?A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.
Learn more about Trapezoid at:
https://brainly.com/question/1410008
Answer:
When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.
What is the area of the rearranged figure?
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
Step-by-step explanation:
I got it right on Edmentum
Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Volume of cone :
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]
Now, let's plug in the values as per the diagram ~
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]
[tex]\qquad \sf \dashrightarrow \: 31.4 \times108[/tex]
[tex]\qquad \sf \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]
What is the gradient of the blue line
Answers
Answer:
2
Step-by-step explanation:
The graient is 2 as gradient = diffrence of y/diffrence in x
x,y
take two points 1,0 and 2,2 and put them into the equation
2-0/2-1 = 2
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2
In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.
Answers
The trial balance of pacilio security services, incorporated as of january 1, year 7
Answers
A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.
What is a trial balance?It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.
The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.
Learn more about trial balance on:
https://brainly.com/question/24696035
Can someone help me on this question
Answers
Answer:
D
Step-by-step explanation:
as shown, the angles are equal. You can assume that x also follows that rule.
Christina is 11 years older than caden. the sum of their ages is 35. how old is christina? how old is caden?
Answers
Answer:
Caden is 11 and Christina is 24.
Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24
So this means we know two ages 11 and 24.
The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.
I hope this helps!
multiply (2a+3)(2a-3)
Answers
Answer:
4a²-9
Step-by-step explanation:
(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}
= 4a²-9
Find the surface area of the above solId above
Please help
Answers
Answer:
I am not sure but it may be 48 cm².
Put the same number in each box to make the
calculation correct.
140 + 10 - ___ = _____ - 30
Answers
Answer:
The number would be 90
Step-by-step explanation:
140 + 10 - 90 = 60
90 - 30 = 60
60 = 60
Answer: 90
Step-by-step explanation:
Let's use x as a placeholder to the number we are trying to find
[tex]140+10-x=x-30[/tex]
Now we need to isolate x
Step 1) Simplify both sides
[tex]140+10-x=x-30\\150-x=x-30[/tex]
Step 2) Add 30 to both sides
[tex]150-x+30=x-30+30\\180-x=x[/tex]
Step 3) Add x to both sides
[tex]180-x+x=x+x\\180=2x[/tex]
Step 4) Divide both sides by 2
[tex]\frac{180}{2}=\frac{2x}{2} \\90=x[/tex]
Step 5) Sub our value into the original equation and solve
[tex]140+10-x=x-30\\140+10-90=90-30\\150-90=60\\60=60[/tex]
what are the perimeter and area of a triangle with a length of 20 in. and a width of 15 in?
Answers
Answer:
Area- 150 Perimeter- 60
Hope This Helps! :) Please Give Brainliest if this helped you!
The sum of two numbers is 3. Their difference is 13. Find the numbers.
Answers
Answer:
The numbers are
5
and
8
Step-by-step explanation:
We know:
m
−
n
=
3
And we know:
m
+
n
=
13
Next, solve the first equation for
m
:
m
−
n
+
n
=
3
+
n
m
−
0
=
3
+
n
m
=
3
+
n
Then, substitute
3
+
n
for
m
in the second equation and solve for
n
:
m
+
n
=
13
becomes:
(
3
+
n
)
+
n
=
13
3
+
2
n
=
13
−
3
+
3
+
2
n
=
−
3
+
13
0
+
2
n
=
10
2
n
=
10
2
n
2
=
10
2
2
n
2
=
5
n
=
5
Now, substitute
5
for
n
in the solution to the first equation and calculate
m
:
m
=
3
+
n
becomes:
m
=
3
+
5
m
=
8
The solution is:
n
=
5
and
m
=
8
[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Find the class width of the distribution and mean
Answers
Answer:
Class width = 5
Mean = 20.375
Step-by-step explanation:
To find the class widths, find the difference between the upper and lower boundaries.
As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.
Class width = 10.5 - 5.5 = 5
To find the mean:
find the mid-points of the classesmultiply the mid-points by the frequency of each classadd thesedivide by the sum of the frequenciesThe easiest way to do this is to create a table (see attached).
[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]
Use the graph to answer the question.
On a coordinate plane, a circle has center (4, negative 1) and radius of 5.
Which equation describes the circle?
(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5
Answer: A
Answers
If AB is translated right 5 units and down 2 units, what are the coordinates of A', the image of point A?
Answers
Answer:
(1,0)
PLEASE mark me brainliest!!
Answer:
1, 0
Step-by-step explanation:
21 POINTS!
Joseph wants to buy a tennis racket and some cans of tennis balls.
The tennis racket costs $85.
Each can of tennis balls costs $2.50.
There is no sales tax.
Joseph has $125 to spend. Which inequality shows how many cans of tennis balls Joseph can buy, x?
A. 2.50x + 85 < 125
B. 2.50x + 85 ≤ 125
C. 2.50x + 85 > 125
D. 2.50x + 85 ≥ 125
Answers
Answer:
B. 2.50 + 85 ≤ 125
Step-by-step explanation:
The total cost of this puurchase must be less than or equal to 125 that is why we use "≤" in this situation, this means that the total of the equation must be equal or equal to 125 exactly
Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters
Answers
Step-by-step explanation:
height (h) = 8cm
radius (r) = 5cm
volume of cylinder (v) = [tex]\pi[/tex]r^2h
= 22/7 * (5)^2 * 8
= 628.571cm^3
solve for y: -32y^2 -24y = 0
Answers
Answer:
y = 0 , y = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
- 32y² - 24y = 0 ← factor out - 8y from each term
- 8y(4y + 3) = 0 equate each factor to zero and solve for y
- 8y = 0 ⇒ y = 0
4y + 3 = 0 ⇒ 4y = - 3 ⇒ y = - [tex]\frac{3}{4}[/tex]
please help asap tysm <3
Answers
Answer:
9:20 AM
Step-by-step explanation:
they spend 4 hours in total doing activities
We get this value by adding up all the time spent
1:30pm - 4 hours =
9:20 AM
Find the angle which is vertical to angle 5 and write your result in the empty box.
Answers
Answer:
< 2.
Step-by-step explanation:
< 2 is vertical to < 5.
In the UK we say they are opposite angles, which, to me, makes more sense.
The dimensions of a rectangular prism are given in the net shown. 7 in. x4 . 3 in. 5 in. 3 in.x 4 5 in. What is the total surface area of the rectangular prism in square inches? 71 in 2
Answers
The total surface area of any given net of a rectangular prism = area of each rectangular face.
What is the Total Surface Area of a Rectangular Prism?If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.
The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.
Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².
Learn more about the rectangular prism on:
https://brainly.com/question/1015291
In which quadrant is the point (4, -5)? II I IV III
Answers
Answer:
Quadrant IV
Step-by-step explanation:
You can easily find in which quadrant a point lies using this key :
Quadrant I = (+ , +)Quadrant II = (- , +)Quadrant III = (-, -)Quadrant IV = (+, -)We have the coordinate (4, -5)
x-coordinate is positivey-coordinate is negativeIt lies in Quadrant IVAnswer:
Quadrant IV
Step-by-step explanation:
The Cartesian plane is divided into 4 quadrants.
Quadrant I is the top right quadrant, where x and y are positive.
We then move in a counterclockwise direction for quadrants II, III and IV.
Therefore:
Quadrant I: (x, y)Quadrant II: (-x, y)Quadrant III: (-x, -y)Quadrant IV: (x, -y)As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV
Please help! And show how u solve!
Find X
Answers
Answer: 36
Step-by-step explanation:
