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]
Albert is a server at an all-you-can-eat sushi restaurant. At one table, the customers ordered 4 child buffets and 1 adult buffet, which cost a total of $86. At another table, the customers ordered 4 child buffets and 3 adult buffets, paying a total of $130. How much does the buffet cost for each child and adult?
Answer:
The buffet cost $16 for adults and $22 for kids
Find the equation of the exponential function represented by the table below:
X
0
1
2
3
Y
4
16
64
256
Y= ?
Answer:
y = [tex]4^{x+1[/tex]
Xavier, Yaozhou and Zara had some beads. Xavier and Yauzhou had a total of 438 beads. Xavier and Zara had a total of 04 beads. Yaozhou had 3 times as many beads as Zara. How many beads did Xavier have?
Answer:
Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.
Step-by-step explanation:
Let the number of beads that Xavier has be x.
Let the number of beads that Yaozhou has be y.
Let the number of beads that Zara has be z.
The total number of beads they have altogether is 438. This means that:
x + y + z = 438 _______(1)
Xavier and Zara have a total of 204 beads. This means that:
x + z = 204
=> x = 204 - z _______(2)
Yaozhou has 3 times as many beads as Zara. This means that:
y = 3z _________________(3)
Put (2) and (3) in (1):
204 - z + 3z + z = 408
3z = 408 - 204 = 204
z = 204/3 = 68
From (2):
x = 204 - 68 = 136
From (3):
y = 3 * 68 = 204
Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.
I need help solving this!
Answer:
miles hybrid car went = 9.80 gal × 54.1 miles/gal
= 530.18 miles
132km × 0.621 = 81.972 miles
530.18 miles = 9.80 gal
1 mile = 9.80/530.18
= 0.018 gal
81.972 miles = 0.018 × 81.972
= 1.515 gal
1.515 gal × 3.785 = 5.734 litres
please help me with question b) and please explain!!
look at the attached image
Answer:
17
Step-by-step explanation:
let x be the number of boxes to be shaded to make it 80%
x = 80% of total number
= 80/100 of 25
= 80/4
= 20
So 20 need to be shaded to fill 80%
Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13
= 17 squares
Select the correct answer from each drop-down menu.
Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top
e(t) = 840 – 52.51
meters from the ground
minutes after it
Since e(14) = , the elevation of the cable car will be
from the top of the hill,
Corrected Question
e(x)=840-52.5x
Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.
Answer:
e(14) =105 meters
Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground
Step-by-step explanation:
Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.
e(x)=840-52.5x
e(14)=840-52.5(14)
e(14)=840-735
e(14)=105 meters
Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.
find the circumference
Answer:
[tex]31.42 \: cm[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]C=2\pi r[/tex]
[tex]C=2\pi \times 5[/tex]
[tex]C=10\pi[/tex]
[tex]C=31.41592...[/tex]
[tex]answer \\ 31.4 \: cm \\ solution \\ r = 5 \: cm \\ d = 5 \times 2 = 10 \: cm \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 31.4 \: cm \\ hope \: it \: helps[/tex]
Communication Methods Among Teens
Frequency Two-Way Table
Which answer shows the relative frequency by the row
of girls?
O 52.5%, 23.0%, 24.6%, 100%
O 57.0%, 12.2%, 27.8%, 100%
O 60%, 12.2%, 27.8%, 100%
O 62.8%, 44.0%, 62.5%, 100%
Text
e-Mail
IM
Total
Boys
32
14
15
61
Girls
54
11
25
90
Total
86
25
40
151
Answer:
it’s c i think
Step-by-step explanation:
Answer C
Step-by-step explanation:
Volume = 21 pi Find the value of the variable in the figure. Leave answers in the simplest form. a. 1 c. 5 b. 3 d. 7
Answer:
3
Step-by-step explanation:
(volume) 21 * pi = 65.9734457254
height =7
Cone = (1/3)πr²h, where r is the radius and h is the height.
V = Ah/3
what are the coefficients in the polynomial 7x^2-4x+6?
Answer:
7 and -4
Step-by-step explanation:
Coefficients are the number before the variables. Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable. That makes 7 and -4 the coefficients.
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
The complete question is;
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm. Option D is the correct answer
Step-by-step explanation:
From the image, the diagonals of the parallelogram bisect each other. Thus;
AE = EC and BE = ED
We are given that;
DE = 3y + 6 cm and BE = 5y - 10 cm, thus;
3y + 6 = 5y - 10
Rearranging, we have;
5y - 3y = 6 + 10
2y = 16
y = 16/2
y = 8 cm
The brace that bisects point B and D is BD. So, BD = BE + DE
So, BD = 5y - 10 + 3y + 6
BD = 8y - 4
Putting 8 for y to obtain;
BD = 8(8) - 4
BD = 64 - 4
BD = 60cm
Answer:
60 cm
Step-by-step explanation:
what is the product of 4/5 × 2/5
Answer:
8/25
Step-by-step explanation:
4/5 *2/5
Multiply the numerators
4*2 = 8
Multiply the denominators
5*5 = 25
8/25
Answer:
The answer would be 8/25 or 0.32
Alvin and Simon shared £540 in the ratio 4:5
Alvin gave half of his share to Theo.
Simon gave a tenth of his share to Theo.
What fraction of the £540 did Theo receive?
Answer:
5/18
Step-by-step explanation:
540/9=60
60x4=240(Alvin's money)
60x5=300(simon's money)
Alvin gives half so you divide 240 by 2 which is 120
Simon gives a tenth so you divide 300 by ten which is 30
120+30=150
150/540=5/18 ( simpliest form)
Theo have 5/18 fraction of total amount of money.
Given that, Alvin and Simon shared £540 in the ratio 4:5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, 4+5=9
So, share of Alvin = 4/9 × 540
= 4 × 60
= £240
Then Simon share = 540-240 = £300
Theo's share = 1/2 × 240
=£120
Theo's share 1/10 of 300
=1/10 × 300
=£30
Total Theo's share = 120+30 =£150
Now, fraction = 150/540
=5/18
Therefore, Theo have 5/18 fraction of total amount of money.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ5
Question 10
The price of one share of a stock fell 4 dollars each day for 8
days. How much value did one share of the stock lose after 8
days?
Please help me ASAP, thanks!
Which expression is equivalent to StartRoot 400h^8 j^4 k^6 EndRoot?
Answer:
[tex]20h^4j^2k^3[/tex]
Step-by-step explanation:
[tex]\sqrt{400h^8j^4k^6}[/tex]
Since it's square root, you divide the exponents by 2.
[tex]20h^4j^2k^3[/tex]
Answer:
[tex]20h^{4} j^{2} k^{3}[/tex]
Step-by-step explanation:
Please help me :( I’m struggling
Answer:
im assuming its b because the quality for the pic is bad and i cant really see it
Step-by-step explanation:
Answer:
the answer is c i believe
Can (somebody)help me!!!
Answer:
20 meters
Step-by-step explanation:
The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!
What is the average rate of change from x = 0 to x = −2?
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
Using the following image, solve for UW
answer:15x
Step-by-step explanation:
because 2x +3 is 5x 5x+10 is 15x
Can u guys PLEASE answer this question ASAP.
which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)
Answer:
n
Step-by-step explanation:
Answer:
[tex]\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane
Supposing that there are two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on 2D plane.
The distance [tex]d[/tex] between these two points is calculated by:
[tex]d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }[/tex]
Step 2: Calculate the distance [tex]d_{1}[/tex] between [tex]M(3, 6)[/tex] & [tex]P(-2, -1)[/tex] and distance [tex]d_{2}[/tex] between [tex]N(6, -4)[/tex] and [tex]P(-2, -1)[/tex]
Applying the formula in step 1:
[tex]d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}[/tex]
[tex]d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}[/tex]
Step 3: Compare and conclude
Because [tex]\sqrt{73} < \sqrt{74}[/tex] => [tex]d_{2} < d_{1}[/tex] => N is closer to P than M
Hope this helps!
:)
Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?
Answer: 28
Step-by-step explanation:
times 4 and 7 seven and get your answer
the answer is 28:)
7x4=28
I need help on this please help it’s geometry:,(
Answer:
a line with points A and B is True
Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.
Answer:
The dog weighs 16 pounds, while the cat weighs 8 pounds
Step-by-step explanation:
Let's call the weight of the dog d, and the weight of the cat c.
d+c=24
d=2c
Substitute the second equation into the first:
(2c)+c=24
3c=24
c=8
d=24-8=16
Hope this helps!
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
a. The data are skewed left, so most student's practice times are more than the mean practice time.
b. The data are skewed left, so most student's practice times are less than the mean practice time.
c. The data are skewed right, so most student's practice times are less than the mean practice time.
d. The data are skewed right, so most student's practice times are more than the mean practice time.
Answer:
The correct option is a.
The data are skewed left, so most student's practice times are more than the mean practice time.
Step-by-step explanation:
Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.
When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.
The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.
Due to this, most student's practice times are more than the mean practice time.
A left skewed distribution is also known as negatively skewed distribution.
Therefore, we can conclude that the correct option is a.
a. The data are skewed left, so most student's practice times are more than the mean practice time.
What time is it if half of what has already passed remains until the end of today?
Answer:
4 p.m.Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by [tex]x[/tex].
The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]
Therefore, the actual time is 4 p.m.
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the mean of the points Javier scored? *
Answer:
13+20+13+15+24/5
85/5
=17
Answer:
17 points
Step-by-step explanation:
Mean = total scores/number of games
Mean = (13 + 20 + 13 + 15 + 24) / 5
Mean = 85 / 5
Mean = 17 points
the ratio of zinc to copper is 3:19,
if theres 741 copper how much zinc is there?
Answer:
117
Step-by-step explanation:
For every 3 zinc there would be 19 copper, and for every 19 copper there would be 3 zinc. There are 741 copper, so there would be 741 * 3 / 19 zinc, which turns out to be 117 zinc.
HELP PlZ
Which of the following graphs represents the equation
y-4=3(x-1)?
Graph A.
Graph B.
Graph C.
Graph D.
Answer:
D
Step-by-step explanation:
The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!
Answer:
D is the answer
Step-by-step explanation:
Which is the value of this expression when p=-2 and q=-1?
A. -4
B. -1/16
C. 1/16
D. 4
Answer:
D. 4
Step-by-step explanation:
[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\
=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\
=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\
=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\
=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\
=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\
=p^{2}\times q^{-4} \\\\
= \frac{p^2}{q^4}\\\\
= \frac{(-2)^2}{(-1)^4}\\\\
= \frac{4}{1}\\\\
= 4[/tex]
