Answer:
tan 0= -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.
The requried other factors of the given function are (x - 2) and (x - 3).
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
= [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)
Thus, the requried other factors of the given function are (x - 2) and (x - 3).
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Determine whether the triangle can have sides of the given lengths. 3 cm. 10 cm. 8 cm
Answer:
Yes
The inequality of the triangle:
[tex]a < b+c,\ b< a+c,\ c<a+b[/tex]
Step-by-step explanation:
[tex]10<3+8[/tex]
[tex]3<10+8[/tex]
[tex]8<10+3[/tex]
The inequality works, therefore these sides can make a triangle
Help this is about shapes
Answer:
exactly one pair of parallel sides =E
two pairs of sices of equal length = B,D
no right angle = A,C
What is the solution for the system of linear equations shown in the graph?
Graph and answers in picture below
Answer:
(d) (-1/4, 3/4)
Step-by-step explanation:
You want the solution to the graphed system of equations.
SolutionThe solution is the point that satisfies both equations, the point where the lines intersect. That point is in the 2nd quadrant, where x-values are negative.
The only suitable answer choice is ...
(x, y) = (-1/4, 3/4)
Help me please!! please
Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.
Step-by-step explanation:
The diameter of a circle is 38 centimeters. What is the circle's area?
Use 3.14 for . SHOW WORK IF YOU ATTACH A FILE YOU ARE GOING TO GET REPORTED
Answer:
area of a circle ⭕= πr²
radius = diameter ÷2;
radius = 38÷2
radius = 19
3.14 * 19²
= 1133.54 cm²
5
Which fraction is equivalent to 20
?
N
Answer:
4/20
Step-by-step explanation:
Please help, give brainliest
Answer:
The answer is B and C
No explanation needed cuz I am sure for my answer
PLZZZ HELPPL ASAP
Cartilage is softer than bone, and most of the bones in your skeleton begin as cartilage. Where can you still find cartilage in an adult?
A joint in knee
B. top of skull
C.femur
D. the center of bone
Answer:
A. Joint in knee
Step-by-step explanation:
There's the articular cartilage on top of the bones in the joint, and the meniscus cartilages that act as shock absorbers between the bones.
Shana wants to buy a music player. She has $100 cash.
1. Can she afford a $79 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer:
Answer:
Yes
Step-by-step explanation:
A $79 unit plus HST will be 89.27
If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC
The measure of angle ∠JBC is 56 degrees.
How to find the measure of an angleFrom the question
If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:
m∠ABC = m∠DBJ
Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.
Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:
m∠JBC = m∠ABC + m∠ABJ
Substituting the value for m∠ABC from the first equation into the second equation, we get:
m∠JBC = m∠DBJ + m∠ABJ
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = m∠DBJ + 28
Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:
m∠JBC = m∠ABJ + 28
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = 28 + 28
Solving this equation, we find that m∠JBC = 56.
Therefore, the measure of angle ∠JBC is 56 degrees.
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An above-ground swimming pool is 5 feet long, 4 feet wide, and 3 feet deep and is shaped like a rectangular prism. A rectangular prism has a length of 5 feet, height of 3 feet, and width of feet. If you use a net to find the amount of material used to make the pool, what faces are included in the calculation? 5-foot by 4-foot face(s) 5-foot by 3-foot face(s) 4-foot by 3-foot face(s)
Answer:
✔ 1
5-foot by 4-foot face(s)
✔ 2
5-foot by 3-foot face(s)
✔ 2
4-foot by 3-foot face(s)
Step-by-step explanation:
EDGE 2021
The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².
what faces are included in the calculation?For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).
So if we have:
length = 5ftwidth = 4fthegith = 3ftThen we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².
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I need help with #3 and #1
Answer:
1) v = (30 cm)/(0.03 s) = 1000 cm/s = 10m/s
3) The driver is lying. The witness said that the accident happened in a blink of an eye and if the driver was really going at 10 km/hr, he would have only traveled 0.83 m out of the parking lot
In how many ways can 8 books be choosen from a group of nine?
Answer:
9 ways
Step-by-step explanation:
You use combination to solve anything that deals with selection process.
So pressing 9C8 function on your calculator would give your answer.
Convert 150 square centimeters into square feet.
Answer:
0.161459
Step-by-step explanation:
for an approximate result, divide the area value by 929
Answer:
0.16
Step-by-step explanation:
[tex]150~\div~929[/tex] ≈ [tex]0.16[/tex]
need some help with this
The length of the missing side is 54.
What is Triangle?Triangle is a closed polygon consisting of three sides, three vertices and three angles.
Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.
Given that ΔABC and ΔPQR are similar.
Let x be the side length of PR.
Ratio of their side lengths are equal.
AB : PQ = BC : QR = AC : PR
5 : 45 = 8 : 72 = 6 : x
Take the ratios 8 : 72 = 6 : x
⇒ 8 / 72 = 6 / x
Cross multiplying,
⇒ 8x = 72 × 6
⇒ 8x = 432
⇒ x = 432 / 8 = 54
Hence the side length missing is 54 units.
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A company is expanding its building area from 13,000 square feet to 18,720 square feet. What is the percentage increase of the area of the building space?
A.
44%
B.
56%
C.
57.2%
D.
4.4%
18720-13000=5720
5720÷13000=0.44
Therefore,option A is correct,i.e.,44%
3
8.) La Venadita gave Mr. Gonzalez 10 pounds of
ceviche. Mr. Gonzalez gave Mr. Hopkins 6 pounds
of ceviche. How many pounds of ceviche does Mr.
Gonzalez have left?
Answer:
4
Step-by-step explanation:
Mr Gonzalez had 10 pound. Then Mr. Gonzalez gave away 6 pounds. Now Mr. Gonzalez has 4 pounds (10 pounds-6 pounds)
A pair of socks is sold for $2.50. The retailer added $.50 to the original cost. What was the cost of the socks to the retailer? ($)
Determine whether the function f(x) = 340(0.765)x
represents exponential growth, exponential
decay, or neither. Justify your answer.
Answer:
Exponential decay since the base (0.765) of the exponential is greater than 0 but less than 1.
2 IMAGES BELOW PLEASE HELP!
Answer:
B
Step-by-step explanation:
Minimum: 4
Lower Quartile (Q1): 7
Median: 9
Upper Quartile (Q2): 13
Maximum: 14
Step-by-step explanation:
B.
you can see by the box plots and notice that A doesn't have the same
What is 37.52 rounded to the nearest whole
Answer:
38 because the 5 tells the 7 to round up to 8
hope this helps
have a good day :)
Step-by-step explanation:
Find the area of the figure below and please show how you got the answer.. Thanks
5 cm
7 cm
9 cm
12 cm
Work out the perimeter of this shape.
Answer:
33 cm
Step-by-step explanation:
Perimeter formula = l + l + w + w, or l x w
Just add all the sides whch equals 33
Answer: 5 cm + 7 cm + 9 cm + 12 cm = 33 cm; Perimeter = 33 cm
Step-by-step explanation:
To find the perimeter of a shape, all you need to do is add up the measure of all the sides.
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
888
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Therefore , the solution of the given problem of population is . Sample - The 400 clients that the insurance company included in this study
Define Population.In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more variables characteristics.
Here,
A party promises to reimburse another party in exchange for a fee in the case of a certain loss, damage, or injury as a way of financial loss protection. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.
a. Parameter - The average health care cost each year for all of the insurance company's clients
b. Population - All of the insurance company's clients
c. Sample - The 400 clients that the insurance company included in this study
d. Statistic - The average health care costs each year for the 400 clients that the insurance company included in this study
e. Data - The list of the 400 annual health care costs for the clients that the insurance company includes in the study
f. Variable - The cost each year for health care
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how do u estimate 5004
Answer:
[tex]5004 \approx5000[/tex]
Answer:
Step-by-step explanation:
You would have know to how much accuracy you want to know. Estimates are about ball parking a number into some other idea about an easy way to understand what a number represents. 5,000 might be a good estimation for a distance that you're going to walk, if the exact distance is 5,004. You get a pretty good idea of how far , time wise, energy required ect ect.. when you say 5,000 So estimation is really about making the numbers easier to use and understand. Numbers are "abstract" they only represent ideas.
An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?
The wheel is spinning at 23.80 miles per hour
How determine how fast the wheel spinning in miles per hour?The wheel speed in miles per hour can be calculated using the expression below:
Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),
where r is the radius of wheel , 60 converts minute to hour and 63360
converts inches to miles
Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)
Speed in miles per hour = 23.80 miles per hour
Thus, the wheel spins at 23.80 miles per hour
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Prove that limx→2 x/1+x= 1/2 using the definition of limit
PLEASE HELPPPP
Find the value of y
X+ y= 20
8x + 6y=133
Anyone who know what the answer please please help me faster??!!?!?!!!!
Answer:
60%
Step-by-step explanation:
Answer:
The answer is 60%
Step-by-step explanation:
The question tells us to find the probability of male sophomore students. From the question we know that the total number of sophomore students are 10 (6 male + 4 female). The probability is # of male student over the total # of sophomore students which is 6/10 = 0.6 now we multiply is it by 100% which gives us 60% (0.6 x 100% = 60%) as our answer.