Answer:
11
Step-by-step explanation:
on the following unit circle, \thetaθtheta is in radians. a unit circle with an angle from the positive x-axis to a ray labeled theta. the point where the ray intersects the circle is labeled 0.54, 0.84 and is in the first quadrant.
The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84
According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).
We need to find the trigonometric values, that is
sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.
sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.
Also note that, sinƟ = perpendicular/hypotenuse
Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis
Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.
Thus, sinƟ = 0.84/1 = 0.84
Hence, sin(Π-Ɵ) = 0.84
And sin(Π+Ɵ) = -0.84
Learn more about trigonometry here : https://brainly.com/question/13729598
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Solve the system of equations.
3x+4y=−23
x=3y+1
x=
y=
Answer:
i think {x,y} = {-5,-2}
Step-by-step explanation:
The measure of an angle is 47°. What is the measure of its complementary angle?
Answer: 90
Step-by-step explanation:
90 degrees. x=90-47=43 degrees.
Step-by-step explanation: We can find the measure of its complement
by taking 90 minus the measure of the original angle.
So we have 90 - 47 which is 43.
So the measure of its complement is 43°.
helpppppppppppppppp this is due tonight!!!!!!!!!!
Answer:
7 and 8
Step-by-step explanation:
plss help
math work
bleh
Answer:
All 4 are solutions to the inequality.
Step-by-step explanation:
What we know:
The inequality requires that 48/f is less than or equal to 46.
Plug in each of the choices to see if that will work
48/12 ≤ 46
4 ≤ 46, so f = 12 will work.
48/-12 ≤ 46
-4 ≤ 46, so f = -12 will also work.
48/-3 ≤ 46
-16 ≤ 46, so f = -3 will work as well.
48/8 ≤ 46
6 ≤ 46, so f = 8 will work as well.
Since all 4 work, that means you should check all 4 choices on the question.
8y +9 > 41 please help im on a staar test.
Answer:
y>4
Step-by-step explanation:
8y+9>41
subtract 9
8y>32
divide by 8
y>4
Answer:
y>4
Step-by-step explanation:
8y+9>41
subtract 9 from both sides
8y>32
divide 8 on both sides
y>4
HELP PLEASE IM GIVING 50 POINTS PLEASE HELP I HAVE NOT MUCH TIME
Answer:
2.25 inches
Step-by-step explanation:
Number of books: 12
Height of stack: 27 inches
27 divided by 12 = 2.25 inches
Answer:
9/4
Step-by-step explanation:
27/12 = 9/4 inch
= 2,25 inch
3|x + y|^2 - (xy)^2. if x = 3 and y = -5
Answer:
-213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3|x + y|² - (xy)²
x = 3
y = -5
Step 2: Evaluate
Substitute: 3|3 - 5|² - (3(-5))²Multiply: 3|-2|² - (-15)²Exponents: 3|-2|² - 225Absolute Value: 3(2)² - 225Exponents: 3(4) - 225Multiply: 12 - 225Subtract: -213The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases as 2 inches. One inch on this drawing
equals how many feet?
Enter your response here:
Answer:
1 inch of drawing = 45 feet
Step-by-step explanation:
Given that:
Length between the bases on a baseball field = 90 feet
As per the scale drawing, the distance between the bases is equal to 2 inches.
To find:
Length of one inch on the drawing is equal to actual length of how many feet?
Solution:
First of all, let us learn about the scale drawings.
Scale drawings are a way to represent the big real world measurements on a paper.
Therefore, small measurements are used to represent the bigger real world measurements.
Here, it is given that:
2 inches on scale is equal to 90 feet of actual length.
Therefore,
1 inch on scale is equal to [tex]\frac{90}{2}[/tex] = 45 feet of actual length.
Therefore, 1 inch of drawing = 45 feet
Pls help me ill give me brainliest
Do all 3 for brainliest pls
how do I solve this, please help
9514 1404 393
Answer:
EF = DE = 44FG = DG = 36FH = DF = 31Step-by-step explanation:
Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.
DE = EF
(9x -1) = (7x +9)
2x = 10 . . . . . . . add 1-7x
x = 5 . . . . . . . . . divide by 2
__
Similarly, marked sides GD and GF are the same length, so ...
GD = GF
(10y -4) = (7y +8)
3y = 12 . . . . . . . . . . add 4-7y
y = 4 . . . . . . . . . divide by 3
__
Now, we have what we need to calculate the side lengths.
EF = 7x+9 = 7·5 +9 = 44
DE = 9x-1 = 9·4 -1 = 44
FG = 7y+8 = 7·4 +8 = 36
DG = 10y-4 = 10·4 -4 = 36
FH = 3x+4y = 3·5 +4·4 = 31
DF = FH = 31
if the measure of angle 6 is 28⁰ then the measure of angle 3 is
Answer: 62
Step-by-step explanation:
Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.
28+90=118
180-118=62
The bag contained only red marbles and white marbles. If the ratio of red marbles to white marbles was 5 to 4, what fraction of the marbles were white? *Complete the statement by providing the correct response in number form, using / as the fraction symbol.
The fraction of white marbles is
Answer:
The fraction of white marbles is 4/9
Step-by-step explanation:
The fraction of white marbles is 4/9. This is because the ratio provided states that for every 5 red marbles in the bag there are 4 white marbles. Therefore, in a set of 9 total marbles (5+4) we can assume that exactly 4 of those marbles will be white since that is the ratio that has been provided. If there are a total of 18 marbles we can assume that exactly 8 will be white marbles, and so on. Each of which represent the fraction of white marbles in the bag as 4/9
e) 340 people participated in a conference. If the ratio of ladies and gentleman is
3:2, find the number of ladies and gentlemen in the conference.
Answer:
There were 204 ladies and 136 gentlemen in the conference
Step-by-step explanation:
Let's set the variables:
L = number of ladies in the conference
G = number of gentlemen in the conference
We know 340 people participated in the conference, thus:
L + G = 340 [1]
We are also given the ratio of ladies and gentleman as 3:2, thus:
L/G = 3/2
Cross-multiplying:
2L = 3G [2]
From [1]:
L = 340 - G
Substituting in [2]:
2(340 - G) = 3G
Operating:
680 - 2G = 3G
5G = 680
G = 680/5 = 136
G = 136
L = 340 - 136 = 204
L = 204
There were 204 ladies and 136 gentlemen in the conference
What is 3 times 3 +77-23/4
Answer:
80.25
Step-by-step explanation:
QUICKLY I DON'T HAVE ENOUGH TIME!!
When multiplying 3 or more numbers, you can ignore the signs and multiply.
To determine the sign, _______ the negatives.
If there is an odd number of negatives, the answer will be ___________.
If there is and even number of negatives, the answer wil be ____________.
Answer:
first line: count
second line: negative
third line: positive
Step-by-step explanation:
The perimeter of a rectangle is 53 inches. The combined length of the two shorter sides is 18 inches. What is the length of each of the longer sides? Complete the sentences to write an equation to model this problem.
Answer:
17.5 in
Step-by-step explanation:
Step one:
given
The perimeter of a rectangle is 53 inches
let the two shorter sides be the width w
so w+w= 18in
the two longer sides is L
L+L=2l
Step two:
but the expression for the perimeter of a rectangle is
P=2W+2L
53= 18+2L
53-18=2L
35=2L
divide both sides by 1
L=35/2
L=17.5
Can yall help me? I will give out brainliest!!!
Can yall find the area of the shape? I'm so confused. Please HELP
Answer:
The total area is 29 cm2
Step-by-step explanation:
The area of the first rectangle (left side) is 4 * 2 = 8
Second rectangle ( right side ) 4 * 3 = 12
The triangle is 3 * (4 + 2) * 1/ 2 = 9
Total area is 29 cm2
If p (x)is equals to x cube minus x square + X + 1 find value of P (- 1)+ p(1) / 2
p(x) = x³ - x² + x + 1
i ) p(-1) = (-1)³ - ( -1 )² + ( -1 ) + 1
= -1 - 1 - 1 + 1
= -2
ii ) p( 1 ) = 1³ - 1² + 1 + 1
= 1 - 1 + 1 + 1
= 2
Now ,
[ p(-1) + p(1) ]/2
= [ -2 + 2 ]/2
= 0
https://brainly.in/question/7358377
what is -|-16|-(-16)
Answer:
Step-by-step explanation:
-|-16|-(-16)=0
1. -|-16|=-16
2. -16-(-16)= -16+16
3. -16.16=0
. In Exercise 16, the height of the rocket was given by h=256t-167². Use the
discriminant to answer the following questions.
a. Will the rocket reach an altitude of 1000 ft?
b. Will the rocket reach an altitude of 1024 ft?
c. Will the rocket reach an altitude of 1048 ft?
Answer:
USE AIR MATH!!!!!!!!!!!!!!!
Step-by-step explanation:
For every boy in an advanced math course there are 3 girls who are taking the course.
If 32 students are enrolled in the course, how many students are girls?
A:24
B:26
C:28
D:21
Answer:
If 32 students are enrolled in the course, there would be 24 girls.
Step-by-step explanation:
Given that For every boy in an advanced math course there are 3 girls who are taking the course.
It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.
Given that there are 32 students enrolled in the course.
so
75% of 32 = 75/100 × 32
= 24
Thus, if 32 students are enrolled in the course, there would be 24 girls.
John raised 70 goats, then entered into a series of business transactions. He traded all the goats for
sheep at an exchange rate of 5 goats for 7 sheep. Next, he exchanged all the sheep for hogs at a rate of
4 sheep for 2 hogs. How many hogs did he get?
What is the weekly profit ??
Answer:
901$
Step-by-step explanation:
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
the vaulue is denominator
Step-by-step explanation:
it's it's the denominator
Answer:
The denominator
Step-by-step explanation:
Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2). It's dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of the resulting quadrilateral A'B'C'D'?
Given:
Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2).
It's dilated by a factor of 2 with the center of dilation at the origin.
To find:
The coordinates of the resulting quadrilateral A'B'C'D'.
Solution:
The figure dilated by a factor of 2 with the center of dilation at the origin. So, the rule of dilation is
[tex](x,y)\to (2x,2y)[/tex]
Using the above rule, we get
[tex]A(-1,-2)\to A'(2(-1),2(-2))=A'(-2,-4)[/tex]
[tex]B(-1,3)\to B'(2(-1),2(3))=B'(-2,6)[/tex]
[tex]C(4,3)\to C'(2(4),2(3))=C'(8,6)[/tex]
[tex]D(4,-2)\to D'(2(4),2(-2))=D'(8,-4)[/tex]
Therefore, the coordinates of the resulting quadrilateral A'B'C'D' are A'(-2,-4), B'(-2,6), C'(8,6) and D'(8,-4).
8^1/6 multiply 2^x = 32^1/2 Work out the exact value of x. WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!
Answer:
x=2
Step-by-step explanation:
8^1/6 x 2^x = 32^1/2
Divide by 8^1/6
2^x= 32^42/8^y6
2^x=4
but 4= 2^2
2^x= 2^2
x=2
I hope helps you and if you consider and want you can give me a Brainly crown
Answer:
[tex]\huge\boxed{x=2}}[/tex]
Step-by-step explanation:
[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]
If three pounds of apples costs $5.25, how much will 10 pounds
cost?
Answer:
$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.
Step-by-step explanation:
Answer:
the answer is 17.50
Step-by-step explanation:
one pound is 1.75 so you multiply that by 10 and you get 17.50
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Can somebody please help me??
12 roses costs $45.60, so in order to find the cost of one rose you have to divide the cost of 12 roses by 12, which gives $3.80.
Now that you know the cost of one rose, you can write an equation that gives you the cost in terms of the total number of roses by multiplying the cost of one rose by the total number of roses (x). This equation should be C = 3.8x
To find how much 18 roses would cost, you plug 18 into the previous equation for x, which gives you $68.40
Answer/Step-by-step explanation:
1. Well, we know that a dozen roses costs $45.60. We also know that a dozen is the same as 12. To know how much 1 rose costs, we need to divide $45.60 by 12.
45.60 ÷ 12 = $3.80. Therefore 1 rose costs $3.80.
2. y = yx
This is because the total amount of roses equal the cost of each rose multiplied by the amount of roses.
3. To find out how much 18 roses costs, we need to multiply the amount of one rose by 18. So, 3.80 x 18 = $68.4
Hope the helps! :D
Which statement is NOT true about the absolute value of -6?
Answer:
2: it describes the distance between 6 and -6 on the number line.