Answer:a 5cm
Step-by-step explanation:
If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).
Cosine is [tex]\frac{hypotenuse}{adjacent}[/tex].
Apply the equation:
[tex]sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2} = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2[/tex]
B is the adjacent side so
cosine is:
Cos(t) = 5/2
Have a great day,
And I hope this helps you!
REALLY STRUGGLING PLS HELP
giving brainliest
Answer:
Option A
Step-by-step explanation:
v + w
{-9,2} + {1,-6}
{-9 + 1},{2 + (-6)}
{-8}, {2 - 6}
{-8},{-4}
The elevation if New Orleans, Lousiana is 8 feet below sea level. The elevation of Lake Champion, Vermont, is 95 feet above sea level. How much higher is the elevation of Lake Champion than New Orleans?
pls help me
Answer:
87 feet
Step-by-step explanation:
8 feet below sea level would be -8
95 feet above sea level would be +95
so it would be -8+95
-8+95=87
:)
Answer: now you can give the other person brainliest. :)
heres something for you trouble, qwq
15.
(4x +- 21)
(x - 23)
Answer:
4
2
−
1
1
3
+
4
8
3
Step-by-step explanation:
find Q - P given the following sets : P= {b,d,f,g} Q= {a,b,c,d} R= {c,e,f,g} S= {a,d,g}
Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? graph going through negative 1, negative 1 and negative 4, negative 1 x g(x) 4 9 6 13 8 17 (1 point) The function g(x) has a higher y-intercept. The function f(x) has a higher y-intercept. They both have the same y-intercept. The relationship between y-intercepts cannot be determined.
Answer:
The function g(x) has a higher y-intercept.
Step-by-step explanation:
First function f(x):
Slope = (-1, - (-1) / -4 - -1) = 0
So its equation is y = -1.
The y-intercept is (0, -1).
Second function g(x):
Slope = (13-9)/ (6-4) = 2.
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line, so we have:
y - 9 = 2(x - 4)
y = 2x - 8 + 9
y = 2x + 1.
So the y-intercept is (0, 1).
How much commission will George receive for the sale of a $250,000 home if he receives 2 1/2% of the selling price?
Answer:
625,000
Step-by-step explanation:
250,000 * 5/2 = 625,000
The commission that George will receive for the sale of a [tex]\$[/tex]250,000, if he receives 2 1/2% of the selling price is $6,250.
What is commission?"A commission is a piece of work that someone is asked to do and is paid for."
Sale is [tex]\$[/tex]250,000
Converting 2 1/2% in improper fraction is 5/2 %
So, commission will be [tex]\(2.5*250,000 /100[/tex] = 625,000/100 = 6250
Hence, the commission that George will receive is $6,250.
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Kevin is planting 15 bushes and 9 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?
Answer:
why is Kevin planting all those trees Kevin should get a job
Find the area of this figure. round your answer to the nearest hundredth.
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
Jay found 1/3 of a sheet cake in the kitchen. He ate 1/2 of it.What fraction of the whole cake did he eat?
Answer:
1/6
Step-by-step explanation:
Multiply the fractions to find how much of the whole cake he ate.
1/3 * 1/2
1/6
Best of Luck!
Answer:
1/6
Step-by-step explanation:
He ate 1/2 of 1/3 of the cake, so the fraction of the whole cake he ate is 1/2 x 1/3. Multiplying fractions is easy, simply multiply the numerator of each fraction (the numbers at the top of each fraction) and the denominator of each fraction (the numbers at the. bottom of each fraction). Therefore, 1/2 x 1/3 = 1/6.
Write a addition equation or a subtraction your choice to section your diagram
Answer:
7 - 2 = 5
Step-by-step explanation:
pls give me brainliest i need it to level up
Fun Fact: The hagfish is the only animal that has a skull but no spine.
Albert purchased a large rectangular field so that he could farm the land. The field measures 17 miles long and 14 miles wide. What is the area of his field?
Answer:
Step-by-step explanation:
Diện tích ruộng anh ta là :
17×14=238(dặm)
Vậy diện tích ruộng của anh ta là 238 dặm
The area of his field is 238 sq mi.
Given the following dimensions for the rectangular field:
Length = 17 miles
Width = 14 miles
Area of his rectangular field = area of rectangle = [tex]length \times width[/tex]
Plug in the values as follows:
[tex]Area = 17 \times 14\\Area = 238 mi^{2}[/tex]
The area of Albert's field is 238 square mile
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Three boys cut out hundredths decimal models. Fred does not shade any of his models. Edward shades nine tenths of one model. Jeff shades one model and seven tenths of another model. What decimal represents the amount each boy shades?
Answer:
Step-by-step explanation:
Fred does not shade any model
Edwards shades nine tenths : 0.9
Jeff shades shades seven tenths : 0.7
so add 0.9 + 0.7, you get 0.16 : sixteen hundredths .
4 3/4 +(-6 7/8) +(-12)
Answer:
-14.125 =)
Step-by-step explanation:
Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?
Answer:
5
Step-by-step explanation:
2 books at home
2 more books from the library
1 more book he bought
2 + 2 + 1 = 4 + 1 = 5
Answer: 5
write an expression that removes any perfect square factors in the radicand. Assume all variables are positive.
In the following sequence, the figures are made of cubes that are glued together. If the exposed surface needs to be painted, how many squares will be painted in (a) the 15th figure? (b) the nth figure?"
squares painted
a. The 15th figure will have
(Type a whole number)
A standard solid with six square faces, in Euclidean Geometry; that is a normal hexahedron. Themes connected: Polyhedron. Since a cube's volume is represented, the cube of that quantity is called in arithmetic and algebra, in terms of edge e, and [tex]e^3[/tex], and the further calculation can be defined as follows:
When there is 1 cube then the number of surfaces[tex]\bold{=6}[/tex]When there is 2 cube then the number of surfaces [tex]\bold{=6 \times 2-2}[/tex]When there is 3 cube then the number of surfaces [tex]\bold{=6 \times 3-2\times 2}[/tex]So, when n cubes are there
[tex]\to \bold{=6\times n-2(n-1)}[/tex]
[tex]\bold{=6n-2n+2}\\\\\bold{= 4n+2}[/tex]
when n=15 then:
[tex]\to \bold{=6\times 15-2(15-1)}[/tex]
[tex]\bold{=90-30 +2}\\\\\bold{=60+2}\\\\ \bold{=62}[/tex]
So, the final answer is "62 and 4n+2".
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An airplane is flying in a direction of 165° with an airspeed of 650 mph. The wind is blowing at 50 mph in a direction of N 30°E What is the ground speed and direction of the plane?
A) ground speed: 658 mph; direction 108°
B) ground speed: 639 mph; direction 161°
C) ground speed: 686 mph; direction 108°
D) ground speed: 698 mph; direction 161°
Direction is usually specified as bearing, however, with regards to vectors direction is specified relative to the positive, x-axis
The correct option for the ground speed and direction of the plane is option B
B) Ground speed: 639 mph; direction 161°
The given parameters are;
Direction of airplane = 165° (vector, measured from the horizontal x-axis)
Airspeed of airplane = 650 mph
The speed of the wind blowing = 50 mph
The direction of the wind = N30°E
Required:
The ground speed of the airplane
Solution:
The velocity of the airplane in vector form is found as follows;
[tex]\overset \longrightarrow P[/tex] = 650 × cos(165)·i + 650 × sin(165)·j ≈ -628·i + 168·j
The velocity of the wind in vector form is found as follows;
[tex]\overset \longrightarrow W[/tex] = 50 × cos(60)·i + 50 × sin(60)·j ≈ 25·i + 43·j
The sum of the vectors, [tex]\overset \longrightarrow R[/tex] = The ground speed, therefore;
[tex]\overset \longrightarrow R[/tex] = [tex]\overset \longrightarrow P[/tex] + [tex]\overset \longrightarrow W[/tex]
[tex]\overset \longrightarrow R[/tex] = (25 - 628)·i + (43 + 168)·j = -603·i + 211·j
The magnitude of the ground speed = √((-603)² + 211²) ≈ 639
The magnitude of the ground speed ≈ 639 mph
The direction, Φ ≈ arctan(211/(-603)) ≈ -19°
Φ is measured from the negative x-axis in the clockwise direction, therefore;
The direction of the airplane from the positive x-axis, in the anticlockwise direction, θ = 180° + Φ
θ = 180° + (-19) = 161°
The direction of the airplane measured from the positive x-axis, θ ≈ 161°
Therefore, the correct option is ground speed; 639 mph; direction 161°
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I need a bit of help I don't really get the question
Answer:
[tex]8p + 5c = p \\ 5c = p - 8p \\ 5c = - 7p \\ \frac{5c}{5} = \frac{ - 7p}{5} \\ \\ c = - \frac{7}{5} p[/tex]
therefore:
[tex]{ \boxed{ \boxed{c = - 1 \frac{2}{5} \: p}}}[/tex]
What are the x-intercepts of the equation?
y=x2−9x2−16
Answer:
x = 17
Step-by-step explanation:
[tex]y = x2 - 9 \times 2 - 16[/tex]
[tex]0 = 2x - 18 - 16[/tex]
[tex]0 = 2x - 34[/tex]
[tex] - 2x = - 34[/tex]
[tex]x = 17[/tex]
An expression is shown below:
f(x) = 2x² − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Part A
[tex]2x^2 -x-10=0\\\\(x+2)(2x-5)=0\\\\x=-2, \frac{5}{2}[/tex]
So, the x-intercepts are (-2,0) and (5/2, 0).
Part B
The vertex will be a minimum because the leading coefficient of the quadratic is positive, meaning the graph will open up.
The vertex has an x-coordinate that is the average of the roots, which in this case is 1/4.
[tex]f(1/4)=-81/8[/tex]
So, the coordinates of the vertex are [tex]\left(\frac{1}{4}, -\frac{81}{8} \right)[/tex]
Part C
Plot the two x-intercepts and the vertex. Then, draw a parabola through these points that opens up.
Plz help before 12 j
Step-by-step explanation:
1 - 5 is not equal to 8
2 - 16 is not equal to 8
3 - 12 is equal to 12
4 - 5 is not equal to 17
5 - 0 is not equal to 4
8 Hundred Thousands equals how many Ten Thousands
Answer:
800,000=8,00,000 in Indian system.
Eight Hundred Thousands(800,000)=Eight Lakh(8,00,000)
in Indian system.
Add the fractions and show me step by step on how to do it
10/16 + 4/8
Pamela stopped at 1.8 mile marker. where will she be if she walks one tenth of a mile towards camp?Explain
Answer:
Either 1.9 or 1.7, depending on where the camp is.
Step-by-step explanation:
1 tenth of a mile is .1 miles, so if she is moving towards the camp and the 1.8 mile marker is increasing (most likely) then she will be at 1.9 miles.
The reverse if she is moving away.
Complete the missing parts of the
table for the following function.
y = (3)*
X -2 -1 0 1 2 3
y| [?] 2 [1
2
1
글을
[]
1
1
Answer:
y=1
Step-by-step explanation:
the missing parts of the table
HELP ASAP: The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=-1 to x=3.
Simplify your answer as much as possible.
ry
8-
6-
4
2-
.
-8
-6
4
- 2
2
10
HHHHHANEL
4
6
Answer:
as all the other identical copies : 2
Students were surveyed about their favorite colors. of the students preferred red, of the students preferred
blue, and of the remaining students preferred green. If 15 students preferred green, how many students were
surveyed?
What is 7.5 divided by 3
Answer:
2.5
Step-by-step explanation:
[tex]7.5 \div 3[/tex]
[tex] = 2.5[/tex]
Answer: 2.5
You're welcome..
A study took a group of adults and randomly divided them into two groups. One group was told to drink tea every night for a week, while the other group was told not to drink tea that week. Researchers then compared when each group fell asleep. Does this describe an observational research study or an experimental research study?
Answer:
2nd one
Step-by-step explanation:
experimental research
The case described here is an experimental research study.
In an experimental research study, the researcher deliberately manipulates one or more variables (in this case, whether or not the participants drink tea) and observes the effects on other variables (in this case, the time each group falls asleep). The researcher randomly assigns participants to different groups, ensuring that any differences observed between the groups can be attributed to the manipulation of the variable of interest.
In this scenario, the researcher randomly divided the adults into two groups and instructed one group to drink tea every night while the other group was told not to drink tea. By manipulating the variable (tea consumption) and comparing the outcomes (time of falling asleep) between the two groups, the study follows the experimental research design.
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