Answer: [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]
Step-by-step explanation:
90° ≤ θ ≤ 180° means that it is in Quadrant II → x is + , y is -
[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]
help me out please!!!!
Answer:
Answer (e)
Step-by-step explanation:
Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4. Only Answer (e) corresponds to that. Try letting x = 1. y is zero, correct? Try letting x = -4. y is undefined, correct?
Select the correct answer.
For which value of b can the expression x2 + bx + 18 be factored?
Answer:
11x
Step-by-step explanation:
(x + 2)(x + 9)
x2 + 9x + 2x + 18
x2 + 11x + 18
This is one possibility :)
josue earned $56.25 fixing a coding issue with a popular website.it took him a total of 4.5 hours to fix the issue.The equation 4.5x=56.25 can be used to find Josue hourly rate.What is Josue hourly rate?
you have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What is the width of the frame?
Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be w = 2.4 inches.
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer: d) 2.4 inches
Step-by-step explanation:
Let x represent the width of the frame
Then the area of the frame is:
(x + 5)(x + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
x² + 12x + 35 = 69.56
x² + 12x - 34.56 = 0
Use Quadratic Formula to solve for x:
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
Two Lines that intersect from TWO angles. The sum of the Two Angles is always 180 degrees.
180 Minus 25 = 155.
Step-by-step explanation:
A 200 pound person weighs 33 pounds on the moon. Type the answers in the boxes below. 1. How much did the person's weight decrease?By what percentage did the person's weight decrease? Round the answer to the nearest percent.
Answer:
83.5%
Step-by-step explanation:
200-33= 167
167/200=x/100
167/2= 83.5
about 83.5%
Plss brainliest
The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.
What is percentage decrease?Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.
The weight of the person is 200 pound. The person's weighs on the moon is 33.
The person's weight decrease-The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,
[tex]\Delta W=200-33\\\Delta W=167[/tex]
The percentage did the person's weight decrease-The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,
[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]
Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.
Learn more about the percentage decrease here;
https://brainly.com/question/11360390
What is the simplified expression for 5 a b + 9 a b minus a b?
Answer:
13ab
Step-by-step explanation:
5ab+9ab-ab=ab(5+9-1)=13ab
On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8 students had to travel in cars. How many students were in each bus
Answer:
40 kids traveled in each bus
hope this helped
Step-by-step explanation:
230- 22= 208
208-8= 200
200÷5 =40
Answer:
40 students road on each bus
Step-by-step explanation:
230-22=208
208-8=200
200÷5=40
If cot x=v3, calculate (sin x)(cos x)-cos²x
Answer:
[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]
Step-by-step explanation:
Recall the Pythagorean identity for cotangent:
[tex]1+cot^2(x)=csc^2(x)[/tex]
where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:
[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]
We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):
[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]
We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.
Then the requested quantity can be written as:
[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]
if a man walks for 6 miles at a steady speed of 3 mph how long will it take him
Answer:
It will take 2 hours
Step-by-step explanation:
6/3 = 2
Answer:
2 hours
Step-by-step explanation:
3 miles + 3 miles = 6 miles
1 hour + 1 hour = 2 hours
1) 2x – y = 1
2x +2y = 10
2) 5x – y =15
x + y = -3
please do both of these with explanation!!
Answer:
1) (2, 3)
2) (2, -5).
Step-by-step explanation:
2x – y = 1
2x +2y = 10 Subtract to eliminate the 2x:
2x - 2x - y - 2y = 1 - 10
-3y = -9
y = 3.
Plug this into the first equation:
2x - 3 = 1
2x = 4
x = 2.
2)
5x – y =15
x + y = -3 Adding to eliminate y:
5x + x - y + y = 15 + -3
6x = 12
x = 2
Plug this into the first equation:
5(2) - y = 15
-y = 15 - 10 = 5
y = -5.
One circle has a diameter of 10 inches. A second circle has a diameter that is twice the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?
Answer:
[tex]78.54:314.16[/tex]
Step-by-step explanation:
First circle area with diameter 10 inches =
[tex]\pi r^2[/tex]
[tex]\pi \times 5^2[/tex]
[tex]=78.53981[/tex]
Second circle area with diameter 20 inches =
[tex]\pi r^2[/tex]
[tex]\pi \times 10^2[/tex]
[tex]=314.159265[/tex]
[tex]78.53981:314.159265[/tex]
Answer:
78.5 : 314.2
Step-by-step explanation:
Diameter of the first Circle = 10 inches
Diameter of the second Circle = 2(10) [TWICE] = 20 inches
So,
Area of the first circle:
Radius = 5 inches
Area = πr²
A = (3.14)(5)²
A = 78.5 inches²
Area of the second circle:
Radius = 10 inches
Area = πr²
Area = (3.14)(10)²
Area = 314. 2 inches
Now the ratio of the area of smaller circle to the larger circle is
78.5 : 314.2
Factorize x squared - 1x +10 =0
Answer:
no solution exists:
Step-by-step explanation:
x²−1x+10=0
Step 1: Simplify both sides of the equation.
x²−x+10=0
Step 2: Subtract 10 from both sides.
x²−x+10−10=0−10
x²−x=−10
Step 3: The coefficient of -x is -1. Let b=-1.
Then we need to add (b/2)^2=1/4 to both sides to complete the square.
Add 1/4 to both sides.
x²−x+ 1/4=−10+ 1/4
x²−x+ 1/4=−39 /4
Step 4: Factor left side.
(x -1/2)² = −39 /4
Step 5: Take square root.
x −1 /2 =±√ −39 /4
Step 6: Add 1/2 to both sides.
x =−1/2 + 1/2 = 1/2 ±√ -39/4
x = 1/2 ±√ -39/4
No real solutions.
Evaluate the trigonometric expression. Round your answer to four decimal places.
10 tan 20º =
a0
Answer:
3.6397
Step-by-step explanation:
10 tan (20°) = 3.6397
Factor the polynomial: x(6x - 1) – 3(6x - 1)
O A. -3x(6x - 1)
O B. 3x(6x - 1)
O C. (6x - 1)(x - 3)
O D. (6x - 1)(x + 3)
Answer:
C.
Step-by-step explanation:
x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)
The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).
The correct option is C.
To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.
The given expression can be rewritten as:
x(6x - 1) - 3(6x - 1)
Now, we can factor out the common factor (6x - 1):
(6x - 1)(x) - (6x - 1)(3)
Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:
(6x - 1)(x - 3)
Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).
Option C: (6x - 1)(x - 3) is the correct answer.
To learn more about Polynomials;
brainly.com/question/11536910
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I need A and B. Thanks
Answer:
A: its 13 cm
B:15cm
Step-by-step explanation:
A: its because its on a slight incline
B:again its on a big incline
Help me ASAP
Estimate the measure of ∠DBC.
Answer:
135°
Step-by-step explanation:
Considering it's estimation, there isn't too much of an explanation, but here you go anyways.
A straight angle is equal to 180°. DBE is a straight angle.
DBC and CBE added together appear to be 180° (supplementary).
We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°
hope this helps and give brainliest if I am epic blah blah blah ;)
A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $3.00 per pound. He wants to mix a total of 15 pounds and sell it for $1.95 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.
Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.
The total pounds of both candies in the mixture is 15. It means that
x + y = 15
Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)
The equation would be
1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
1.8(15 - y) + 3y = 1.95(15 - y + y)
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 + 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
x = 15 - y = 15 - 1.88
x = 15 - 1.88 = 13.12
Answer:
the grocer should mix approximately 13.12 pounds of 1st candy.
the grocer should mix approximately 1.88 pounds of 2nd candy.
Step-by-step explanation:
From the given information.
let x represent the pounds of the first candy and y represent the pound of the second candy
We are being told that the grocer wants to sell a total of 15 pounds,
so;
[tex]x+y = 15 \\ \\x= 15-y[/tex] ----- (1)
also; we are being informed that one kind sells for $1.80 per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.
So;
[tex]1.80 x + 3y = 15(1.95)[/tex]
[tex]1.80x + 3y = 29.25[/tex] ------(2)
Replacing equation (1) into 2 ; we have :
1.8(15 - y) + 3y = 29.25
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 - 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.
Replacing the value of y into equation (1)
x = 15 - y
x= 15 - 1.88
x = 13.12
Therefore, the grocer should mix approximately 13.12 pounds of 1st candy.
Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it
Answer: Are you in summer school pfft
Step-by-step explanation: I won’t help you cheat
Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!
Answer:
w=6, x=7, t=7, n=90, w=15/2
Step-by-step explanation:
a) 5w = 30
30/5 = 6
w=6
b) 3x-5=16
Add 5 to each side.
3x+5=16+5
3x=21
21/3=7
x=7
c) 10-t=17
10-t=17
17-10-7
-t=-7
Negative and a negative is a positive.
t=7
d) n/5 = 18
n=18 * 5
n=90
e.) 4w-12=2w+3
4w=2w+3+12
4w=2w+15
4w−2w=15
2w=15
w= 15/2
This graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in the graph?
A. 2 hours/dollar
B. 4 hours/dollar
C. $4/hour
D. $2/hour
Answer:
$4/ hour
Step-by-step explanation:
every hour you go you add 4 dollars
example: 1 hour is $2
2 hours is $6
In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.
Answer:
67.5
Step-by-step explanation:
When you calculate the 10% of AED75, it is equal to AED7.5Then you subtract AED7.5 from AED75 which is AED67.58 divided by 4106 long division
Answer:
513.25 or 0.001
How i got the answer:
As we that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.
If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.
If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.
Answer: 513.25 or 0.001
Please mark me brainliest
Hope this helps.
answer is 8/4106 or 0.002
Just follow the rules for multiplication and keep going till the end
LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles
Answer:
A) Constructing a line perpendicular to a point on a line
Tanya has ten bills in her wallet. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?
Please tell me the steps will choose brainliest
Answer:
5 Ones dollar bills
3 five dollar bills
2 ten dollar bills
Step-by-step explanation:
Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?
Answer:
she spent £270.
Step-by-step explanation:
First, let us define what a ratio of 9:6 means.
when you have a ratio such as this, you have to add both ratios first:
9+6 = 15
This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.
Now let us solve the problem
Savings to spending = 9:6
if total amount = m
ratio saved = 9/15 × m
ratio spent = 6/15 × m
Now total amount (m) = £450
∴ ratio saved = 9/15 × 450 = 4050/15 = £270
Therefore she spent £270.
To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180
I want help! Please
Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.
Answer:
145
Step-by-step explanation:
125+75+150+175+200= 725
725÷5=145
Answer:
145
Step-by-step explanation:
(125+75+150+175+200)÷5
725÷5= 145
I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1 correct
Step-by-step explanation:
switch 2nd and 3rd
2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit
3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes
Use factoring to solve. *
x^2-4x-12=0
please only give me the right answer I really need it
Answer:
(6, -2)
Step-by-step explanation:
x^2-4x-12=0. 1 from 1x. -4 from -4x
(x - 6)(x + 2) = 0 1 * -12 = -12. -4
x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4
+ 6 +6
x = 6
x + 2 = 0
-2. -2
x = -2
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.
[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]
Therefore, the correct answer is choice B. Hope this helps!
Answer:
I believe it is b
