Answer: 0.99
Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13
sin x =13x sin 90 divided by 85
sin x = 13divided by 85
sin x = .152941176
arc sine of .152941176= 8.79741071 degrees
cos 8.79741071 = .988235294
.99
(03.01 LC)
Which of the following is equal to √3√2? (4 points)
Answer:
D
Step-by-step explanation:
We are given:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}[/tex]
Recall the property:
[tex]\displaystyle \sqrt[b]{x}=x^{1/b}[/tex]
Hence:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}=\sqrt{2^{1/3}}[/tex]
Using the same property:
[tex]\sqrt{2^{1/3}}=(2^{1/3})^{1/2}[/tex]
Recall the property:
[tex](x^a)^b=x^{ab}[/tex]
Hence, multiply:
[tex](2^{1/3})^{1/2}=2^{1/6}[/tex]
Therefore:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}=2^{1/6}[/tex]
Our answer is D.
Answer:
The answer is [tex]2^{\frac{1}{6} }[/tex].
Step-by-step explanation:
To find which answer is equal to [tex]\sqrt{} \sqrt[3]{2}[/tex], start by simplifying [tex]\sqrt{} \sqrt[3]{2}[/tex]. The radical will simplify to [tex]\sqrt[6]{2}[/tex].
An easy way to determine which answer is correct, convert each of the numbers to decimal form.
For [tex]\sqrt[6]{2}[/tex], it will look like 1.122 in decimal form.
For [tex]2^{\frac{2}{3} }[/tex], it will look like 1.587 in decimal form.
For [tex]2^{\frac{3}{2} }[/tex], it will look like 2.828 in decimal form.
For [tex]2^{\frac{1}{3} }[/tex], it will look like 1.260 in decimal form.
For [tex]2^{\frac{1}{6} }[/tex], it will look like 1.122 in decimal form.
Then, by seeing which two decimal forms are the same, it causes the answer to be [tex]2^{\frac{1}{6} }[/tex].
The position vector of p (relative to the origin) is op = (x, y). if the magnitude of op is 5 units, find the set of all possible values of (x, y), with x, y E z
Answer:
S = {(0, 5), (0, - 5), (3, 4), (3, -4), (-3, 4), (-3, -4), (4, 3), (4, -3), (-4, 3), (-4, -3), (5,0), (-5, 0) }
Step-by-step explanation:
Remember that the distance between two points (a, b) and (c, d) is given by:
[tex]distance = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
So, here we have that the distance between the point (x, y) and the origin, (0, 0) must have a magnitude of 5 units, then we want to solve:
[tex]5 = \sqrt{(x - 0)^2 + (y - 0)^2} \\5 = \sqrt{x^2 + y^2}[/tex]
If we square both sides, we get
[tex]5^2 = (\sqrt{x^2 + y^2} )^2\\25 = x^2 + y^2[/tex]
Now we want to find all the points (x, y) that meet this condition, suc that:
x ∈ Z
y ∈ Z
So both x and y must be integers.
So here we can just play with different values of x and y.
For example, if we define:
x = 0 we get:
25 = 0^2 + y^2
25 = y^2
√25 = y
Then we can have y = 5 or y = -5
from this we got two points:
(0, 5) and (0, - 5)
if x = 1 we have:
25 = 1^2 + y^2
25 - 1 = y^2
24 = y^2
There is no integer such that its square is equal to 24, so we can stop here.
if x = 2 or - 2, we have:
25 = 2^2 + y^2
25 = 4 + y^2
25 -4 = 21 = y^2
Again, there is no integer such that its square is equal to 21, so we can stop here.
if x = +3 or -3, we have:
25 = 3^2 + y^2
25 = 9 + y^2
25 - 9 = 16 = y^2
√16 = y
then we can have y = 4 or y = -4
from this we got four points:
(3, 4)
(-3, 4)
(3, -4)
(-3, -4)
And for symmetry, if x = 4 or -4 we have the points:
(-4, 3)
(4, 3)
(-4, -3)
(4, -3)
finally, again for symmetry, if we take x = 5 or x = -5 we have the points:
(5,0)
(-5, 0)
Concluding, the set of all possible values (x, y) is:
S = {(0, 5), (0, - 5), (3, 4), (3, -4), (-3, 4), (-3, -4), (4, 3), (4, -3), (-4, 3), (-4, -3), (5,0), (-5, 0) }
simplify the expressions √(x^2-6x+9) if x>3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?
Answer: [tex](-10,-4)[/tex]
Step-by-step explanation:
Given
The points joining line segment are (-10,2) and (-10,-5)
Using section formula, a point joining segment [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1 has coordinates
[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]
Ratio is 6:1
Coordinates are
[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]
[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]
Thus, the coordinates are [tex](-10,-4)[/tex]
Explain how to use a graph of the function f(c) to find f(3).
PLZ HELP ASAP DUE IN 10 MINS I WILL MARK BRAINLIEST!!!!
Answer:
15/8
Step-by-step explanation:
Applying
tanθ = Opposite(O)/Adjacent(A)
tanθ = O/A............ Equation 1
From the diagram,
To get the opposite(O), we apply pythagoras theorem
a² = b²+c²
Where c = opposite
17² = 8²+c²
289 = 64+c²
c² = 289-64
c² = 225
c = √225
c = 15
Substitute into equation 1
Therefore,
tanθ = 15/8
Hence the exact value of tanθ is 15/8
please help…………..i have more to ask
Answer:
YES
Step-by-step explanation:
Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
✔️Distance between A(-4, 2) and B(1, 4):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-4, 2) = (x_1, y_1) [/tex]
[tex] B(1, 4) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]
[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]
[tex] AB = \sqrt{25 + 4} [/tex]
[tex] AB = \sqrt{29} [/tex]
✔️Distance between C(2, -1) and D(4, 4):
[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(2, -1) = (x_1, y_1) [/tex]
[tex] D(4, 4) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]
[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]
[tex] CD = \sqrt{4 + 25} [/tex]
[tex] CD = \sqrt{29} [/tex]
AB = CD = √29
Therefore, they both have the same length.
tan2°- cot 88° evaluate
Answer:
0
Step-by-step explanation:
tan2°- cot 88° = tan 2° - tan (90-88)°
= tan 2°-tan 2° = 0
Answer:
0Step-by-step explanation:
➡️tan 2° - cot 88°
➡️tan 2° - tan (90° - 88°)
➡️tan 2° - tan 2°
➡️ 0 ✅
A 3050 foot long road travels directly up a 550 foot tall hill. Select the equation that can be used to solve for the angle of elevation (0) from the bottom of the hill.
Answer:
d is the answer ✌sin ०=3000/3050
Jed works for Metal Fabricators, Inc. Which just lost a large contract and has asked employees to take a 12 percent pay cut. If Jed now makes $34,500 per year, what will his yearly pay be after the pay cut?
Answer: [tex]\$30,360[/tex]
Step-by-step explanation:
Given
Jed makes [tex]\$34,500[/tex] per year
After the loss of contract, a paycut of 12% is there
The amount after the paycut is
[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]
What is the
equation of the graphed line written in
standard form?
O X=-3
O y=-3
O x+y=-3
x-y=-3
Answer:
x = -3
Step-by-step explanation:
This is a vertical line. The x value remains constant.
x = -3
Answer:
x= 5.45 or -5.45
Step-by-step explanation:
The world record for the longest someone has held their breath
was 24 minutes. How many seconds are in 24 minutes? 60 seconds
= 1 minute 24 minutes = seconds
Answer:
1440seconds
Step-by-step explanation:
1min = 60sec
24min = ?
24/1 × 60
1440sec
calculate the volume of a ball having a radius of 8 cm
Answer:
267.9 [tex]cm^{3}[/tex]
Step-by-step explanation:
volume of a circle = 4/3 * π *[tex]r^{2}[/tex]
=4/3 *3.14 *[tex]8^{2}[/tex]
=12.56/3 *64
=803.84/3
=267.94
=267.9 [tex]cm^{3}[/tex]
determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )
Answer:245
Step-by-step explanation:
Select the choice that follows the correct sequence of steps in solving this inequality.
-1/2y - 1 < or equal to 3
Answer:
what are the choices?? if you don't mind me asking
What is the range of the relation? {(2, 1), (-4, 5), (1, 7), (3, -3), (-1, 2)}
Answer:
(1,5,7,-3,2)etc are the range of the relation.
which expressions represents 15 more than the product 6 and 8
Please i need help
Answer:
x-15 = 48
or
x= 15 + (6*8)
Step-by-step explanation:
Pls vote as brainliest
Hi,
The correct answer is x=15 + (6x8)
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Answer:
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Step-by-step explanation:
sorry i dont know
А
E
F
B1
2
2x
135°
750
2x -15°
12
G
H
I
C3
D
Determine the value of x.
i wonder this is math problem or code word for treasure
Answer:
Step-by-step explanation:
(2x-15) = 45
Step-by-step explanation:
When two angles lie on a straight line, they are supplementary
what this mean is that the add up to equal 180 degrees
Mathematically, we have this as:
(2x-15) + 135 = 180
(2x-15) = 180-135
(2x-15) = 45
PLEASE HELP IM SORRY THE PIC IS BLURRY I NEED TO PASS SUMMER SCHOOL
Aswer:
c represnt the function hope it helps you make me brainlest pls
Which numbers are divisible by 2?
A)826
B)270
C)271
Answer:
A
Step-by-step explanation:
Answer:
A and B, every even number is divisible by two, C is odd
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve each equation. Leave the answer as an improper fraction.
16x2 = 49
NEXT QUESTION ASK FOR HELPTURN IT IN
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Answer:
Given : isosceles right triangle hypotenuse = 8 cm
To find : leg of isosceles right triangle
Solution
isosceles right triangle
Hence Perpendicular = base
Both legs are of Equal length
Applying Pythagoras theorem
Perpendicular² + base² = Hypotenuse²
Hypotenuse = 8 cm given
=> Perpendicular² + base² = 8²
Perpendicular = base = x
=> x² + x² = 64
=> 2x² = 64
=> x² = 32
=> x = 4√2
legs of isosceles right triangle whose hypotenuse is 8 cm
are 4√2 cm
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
help help help help help
Answer:
y = 45
Step-by-step explanation:
y = 9x
input = 5
y = 9(5)
9(5) = 45
y = 45
If you answer I will mark you brainliast
Exercise 6
Use the x button on a calculator. You will need basic trigonometry (page 209).
1. The chord AB subtends an angle of 130° at the centre O.
The radius of the circle is 8 cm. Find:
a) the length of AB
b) the area of sector OAB
c) the area of triangle OAB
d) the area of the minor segment (shown shaded).
2. Find the shaded area when:
a) = 6 cm, 0 - 70°
b) r=14 cm, 0 = 104°
c) r=5 cm, 0 = 80
8 cm
1.
3. Find and hence the shaded area when:
a) AB = 10 cm, r= 10 cm
b) AB=8 cm, r = 5 cm
4. How far is a chord of length 8 cm from the centre of a circle of radius 5 cm?
5. How far is a chord of length 9 cm from the centre of a circle of radius 6 cm?
Step-by-step explanation:
Refer Fig 1 as attached
1a. angle a = angle b = 25°
AM = 8 x cos 35° = 6.553
so AB = AM x 2 = 13.1
1b. Area of sector OAB / Area of the circle
= 130 / 360
Area of sector OAB = 8x8xpi x 130/360
= 23pi
1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM
OM = AM x tan (angle a) = 13.1 x tan 25°
= 6.109
so Area OAB = 6.553 x 6.109 = 40.03
1d. Area of the minor segment
= Area of sector OAB - Area of triangle OAB
= 23pi - 40.03
= 32.23
2, 3 Please refering the approach as above to find the answers
4. Refer Fig 2 as attached
a = 3
the cord is 3 cm from the centre
5. Repeat the approach of 4 above please.
please help me with this question. find the exact circumference of the circle using the given inscribed polygon please help me
53,38
Step-by-step explanation:
x = √15² + 8²
x = √225 + 64
x = √289
x = 17
circle's circumference = π × d
3,14 × 17 = 53,38
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
===================================================
Explanation:
Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.
We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.
2,737 ÷ 305
4,516 ÷ 22
8,911 ÷ 45
9,473 ÷ 5
876 ÷ 2
Answer: 1: 8.973770492
2: 205.2727273
3: 198.0222222
4: 1894.6
5: 438
Answer:
1: 8.973770492
2: 205.2727273
3: 198.0222222
4: 1894.6
5: 438
Step-by-step explanation: Just use a caculator
Please help! Thank you :)
Step-by-step explanation:
[tex] \frac{ \frac{4x}{5 + x} }{ \frac{6x}{x + 2} } [/tex]
[tex] \ \frac{2(x + 2)}{3(5 + x)} [/tex]
[tex] \frac{2x + 4}{3x + 15} [/tex]
Answer:
2x+4 over 3x+15
Step-by-step explanation:
First divide 4x over 5+x by 6x over x+2 when multiplying 4x over 5+x by the reciprocal of 6x over x+2
Step 2: cancel out 2x in both numerator and denominator
Last step:use distributive property to multiply 2 by x+2 and 3 by x+5
plz help me I'm literally about to cry
Answer:
[tex](2,4)[/tex]
Step-by-step explanation:
Hope it is helpful...
(High points) Please solve with explanation
Answer:
36 9/16 inches
Step-by-step explanation:
Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it
= 45 1/2 - 8 7/8
simplify
= 44 - 8 (8 + 4 - 7)/8
= 36 5/8
Given that 1/16 inch is wasted in the process, the remaining length would be
= 36 5/8 - 1/16
= 36 10 - 1/16
= 36 9/16 inches
