[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]
[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]
What is 16.99 times 0.80
Answer:
Hi, there your answer is 13.592
Step-by-step explanation:
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
alalalalalalalaalalalalal
20character minimum^
Please help find volume of cone
Answer:
5275.2 m³
Step-by-step explanation:
We need the radius first:
[tex]\sqrt{l^2- h^2}[/tex] = 12
Formula for volume = πr²*h/3
Volume = 3.14 * 144 * 35/3
Volume = 5275.2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?
A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?
Answer:
35 metres
Step-by-step explanation:
The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second
Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.
time taken by A = [tex]\frac{D}{1.25}[/tex]
time taken by B = [tex]\frac{D-7}{1}[/tex]
equating both together, we have
[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]
1.25D - 8.75 = D
1.25D - D = 8.75
0.25D = 8.75
D = 8.75/0.25
D = 35
What is the equation for a parabola if the vertex is at (5,4) and goes through the point (3,-8)
Answer:
[tex]y=-3(x-5)^2+4[/tex]
Step-by-step explanation:
Hi there!
Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:
[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value
1) Plug the vertex into the equation
[tex]y=a(x-h)^2+k[/tex]
Plug in the vertex (5,4)
[tex]y=a(x-5)^2+4[/tex]
2) Solve for a
[tex]y=a(x-5)^2+4[/tex]
Plug in the given point (3,-8) and solve for a
[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]
Subtract 4 from both sides
[tex]-8-4=4a+4-4\\-12=4a[/tex]
Divide both sides by 4
[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]
Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:
[tex]y=-3(x-5)^2+4[/tex]
I hope this helps!
Round to the nearest cent or whole number as needed. How many males had fatal car accidents last year if there were 1761 fatal car accidents and about 42% of the fatalities were male?
Answer:
740
Step-by-step explanation:
42% of 1761 = 0.42 * 1761 = 739.62
Answer: 740
i need help with this plz
Answer:
-4 is the correct answer
Answer:
y=18
Step-by-step explanation:
equation:y=3x -7
x=7 then y =?
substitute the vale of x in the equation
y=3x-7
y=3*7-7
y=21-7
y=18
therefore the value of y corresponds to 7 is 18.
On the number line below, length
AB = [?]
A
В
16
45
Answer:
29
Step-by-step explanation:
45 - 16 =
Select all of the following that are equivalent to 1 10,000 1 A. (10,000) B.(-10,000 D c. 100) ( O D. (10)
Answer:
A. 10,000
Step-by-step explanation:
A. is 10,000, so it is equivalent to 10,000
B. -10,000 No
C. 100 No.
D. 10 No.
Round 187.890 to the nearest 10 000
Answer:
190,000
190,000
190,000
Step-by-step explanation:
190,000
190,000
If a1 = 6 and an = 3 + 2(an-1), then a2 equals
no links
Answer:
15
Step-by-step explanation:
Given that a1 = 6
an = 3 + 2(an-1),
Substitute n = 2 into the formula
a2 = 3 + 2(a1)
a2 = 3 + 2(6)
a2 = 3+12
a2 = 15
Hence the second term of the sequence is 15
Calculate the area of triangle ABC with altitude CD, given A (−3, −4), B (−6, 2), C (0, 0), and D (−4, −2). (5 points)
Question 8 options:
1)
14 square units
2)
15 square units
3)
18 square units
4)
20 square units
Answer: 2) 15 square units
Step-by-step explanation:
The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) which is correct option (2)
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
Given that a triangle ABC with altitude CD.
The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2)
Given that the distance between C and D will be the height of the triangle
Since, the distance between the points by using the distance formula:
= √ (x₂ – x₁)² + (y₂ – y₁) ².
height = √ (-4 – 0)² + (-2 – 0) ²
height = √20
base = √45
Area of triangle = (1/2)base x height
Area of triangle = (1/2)√20×√45
Area of triangle = (1/2)30
Area of triangle = 15 square units
Hence, the area of the triangle is 15 square units if the triangle ABC with altitude CD
Learn more about distance between two points here:
https://brainly.com/question/15958176
#SPJ2
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
Ms. Cortez was building doll houses to sell at a toy store. She had to spend $184 on tools before she could begin to work. Each doll house cast $17 to make. She planned to sell the doll houses for $29 each. How many doll houses did she need to sell to make a profit?
Answer:
A minimum of 16 dollhouses
Step-by-step explanation:
profit on each dollhouse= sp-cp= 29-17= $12
if we divide 184 by 12 we get abt 15.33, which means, she has to sell more than 15 Dollhouses to make a profit.
so the minimum number of dollhouses to be sold are 16
Please help me quick…
20- +3
21- -7
22- +4
23- 8
24- 4
ask your teacher for further guidance because explaining negatives is difficult for me
Answer:
20) - 2+5
= 3
21) 8+(-15)
=8 - 15
= - 7
22) - 10 +14
= 4
23) 6-(-2)
=6 +2
= 8
24) - 16-(-20)
= - 16 +20
= 4
Step-by-step explanation:
This is step by step explanation
Please Mark me brainlist
Recall what you know about similarity. If circle B is similar to circle A, what must exist?
The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.
Given that:
Circles A and B
To prove the similarities of the two circles, the radius of both circles must be known.
Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].
The similarity of both circles is proved using:
[tex]r_A = k * r_B[/tex]
or
[tex]r_B = k * r_A[/tex]
where k represents the scale of dilation
Hence, the radius of both circles must exist for the circles to be similar.
Read more about circle similarities at:
https://brainly.com/question/403891
WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these events from least likely to most likely
Answer:
The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Possible outcomes:
Black - Black
Black - Blue
Blue - Black
Blue - Blue
Probability of each outcome:
Black-Black:
14 out of 20, and then 9 out of 12. So
[tex]P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}[/tex]
Black-Blue:
14 out of 20, then 3 out of 12. So
[tex]P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}[/tex]
Less likely than black-black.
Blue - Black:
6 out of 20, then 9 out of 12. SO
[tex]P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}[/tex]
More likely than black-blue, less likely than black-black.
Blue - Blue
6 out of 20, then 3 out of 12
[tex]P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}[/tex]
Least likely of the outcomes.
List these events from least likely to most likely:
The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
70
Step-by-step explanation:
the figure shown is a parallelogram with a base length of 10 ft and a height of 7 ft
the area of a parallelogram can simply be calculated by multiplying the base length by the height
hence, area = 7 * 10 = 70
Answer: 10 times 7
Step-by-step explanation: 10 times 7
Find the solution(s) to the system of equations represented in the graph.
A. (0, 3) and (3, 0)
B. (0, 3) and (−3, 0)
C. (0, −3) and (3, 0)
D. (0, −3) and (−3, 0)
Answer:
(-3,0) and (0,3)
Step-by-step explanation:
The solution to the system of equation is where the two graphs intersect
The intersect at two points
(-3,0) and (0,3)
what is the average rate of change from x equals negative 1 to x equals 1
Answer:
This question is incomplete, so I can not give you an exact answer, but I can give you the answer for the general case.
If we have a function f(x), the average rate of change between the values:
x = a and x = b,
is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
So if we want to find the rate of change from:
x = -1 to x = 1
it is just:
[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{f(1) - f(-1)}{2}[/tex]
So just to show an example, if:
f(x) = 3*x^2 - 5
the average rate of change in that interval will be:
[tex]r = \frac{f(1) - f(-1)}{2} = \frac{3*1^2 - 5 - (3*(-1)^2 - 5)}{2} = \frac{-2 - (-2)}{2} = 0[/tex]
How do I do this ? no links please
Hey there!
ASSUMING….
-14.4 = -1.2m
-1.2m = -14.4
DIVIDE -1.2 to BOTH SIDES
-1.2m/-1.2 = -14.4/-1.2
SIMPLIFY IT!
m = -14.4/-1.2
m = 12
Therefore, the answer should be:
m = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the range for the following list of values:
1, 2, 4, 7
Answer:
below
Step-by-step explanation:
Rage =
highest value - lowest value
= 7 - 1
=6
Can someone help me? It's urgent and thank you!
Put either A,B,C,D,E in r= and also put A,B,C,D,E in the find the 6th term put whatever your answer's lead you too
number a is too low so we will work with c after all I put that and got it eight
Your answer is C. - 972
I found 3 by dividing 36 by 12. I hope the image is self- explanatory.
What is the surface area of the cylinder with height 4 yd and radius 7 yd? Round your answer to the nearest thousandth.
Answer:
483.87yd^2
Step-by-step explanation:
Given data
Height= 4yd
Radius= 7yd
The expression for the surface area of a cylinder is given as
Surface area= 2πr (4+ 7)
Surface area= 2*π*7 (4 + 7)
Surface area = 14π (11)
Surface area= 154*3.142
Surface area= 483.87yd^2
Hence the surface area is 483.87yd^2
can someone help me with this problem!
C. -1
Hope this helps! :)
______________
Answer:
-1
Step-by-step explanation:
Simplify the real and imaginary parts of the expression. That’s probably as simple as i can get it.
Hope this helps! :)
Find m 22 in the figure below.
95°
2
72°
Answer:
<2= 23°
Step-by-step explanation:
180°- 95°= 85°
(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)
To find <2
180- (85°+ 72°)
(Angles on a triangle adds up to 180°)
180- 157
= 23
Sierra says that she can simplify the side of the inequality shown by combining the terms within the parentheses but that she can't do the same thing on the side. Is Sierra correct? Explain.
Answer:
Yes, Sierra is correct
Step-by-step explanation:
Given
[tex]4(y + 7) > -3 (4 + 5)[/tex]
Required
Is she correct
The right parenthesis has 4 + 5.
This can be simplified as: [tex]4 + 5 = 9[/tex]
So, we have:
[tex]4(y + 7) > -3 (4 + 5)[/tex]
[tex]4(y + 7) > -3 *9[/tex]
The left parenthesis has y + 7.
This cannot be simplified because y is a variable and 7 is a number.
Hence, Sierra is correct.