Answer:
-3/5
Step-by-step explanation:
Given :-
The terminal ray of an angle passes through the point (16,–12).And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.
Using Pythagoras Theorem :-
[tex]:\implies[/tex] h² = p² + b²
[tex]:\implies[/tex] h² = 16² + 12²
[tex]:\implies[/tex] h² = 256 + 144
[tex]:\implies[/tex] h² = 400
[tex]:\implies[/tex] h = 20 u
Therefore the sine will be :-
[tex]:\implies[/tex] sinθ = p/h
[tex]:\implies[/tex] sinθ = 12/20
[tex]:\implies[/tex] sinθ = 3/5
And it is in third quadrant so , sine will be negative .[tex]:\implies[/tex] sinθ = -3/5
Therefore the value of sine is -3/5.
Find the area of this circle. Use
3.14 for it.
96 mm
Answer:
28938.24
Step-by-step explanation:
A=π[tex]r^{2}[/tex]
= 3.14 x [tex]96^{2}[/tex]
= 28938.24
Please mark brainliest:)
Which speed is the fastest?
A 18 feet in 20 minutes
B 90 feet in 2.5 hours
C 20 yards in 1.5 hours
D 3 and 2/3 yards in 15 minutes
Find the area of the circle. Round your answer the nearest whole number, if necessary.
area: about
in.2
Answer:
Area = 314 in.²
Step-by-step explanation:
Radius of the circle = 10 in.
Formula for area of a circle = πr²
Radius (r) = 10 in.
Plug in the value of r into the formula
Area = π*10²
Area = π*100
Area = 314.159
Area = 314 in.² (nearest whole number)
Answer:
The area of circle is 314 in².
Step-by-step explanation:
Given :
Radius of circle = 10 in.To Find :
Area of circleUsing Formula :
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the area of circle by substituting the values in the formula :
[tex] \begin{gathered} \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10)}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10 \times 10)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(100)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times 100}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 100}}} \\ \\\qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{\cancel{100}} \times \cancel{100}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 314 \: {in}^{2}}}} \\ \\ \qquad\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = 314 \: {in}^{2}}}}}}}\end{gathered}[/tex]
Hence, the area of circle is 314 cm².
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
-7(6m+ 2) = -308 showing work
[tex] - 7(6m + 2) = - 308 \\ ➪ \: - 42m - 14 = - 308 \\ ➪ \: - 42m \: = - 308 + 14 \\ ➪ \: m = \frac{ - 294}{ - 42} \\ ➪ \: m \: = 7[/tex]
To verify:-[tex] - 7(6 \times 7 + 2) = - 308 \\ ➵ - \: 7(42 + 2) = - 308 \\ ➵ \: - 7 \times 44 = - 308 \\ ➵ \: - 308 = - 308[/tex]
➵ L. H. S. = R. H. S.
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
I'm lost can someone help me please?
Answer:
x=13
y=32
Step-by-step explanation:
x+y=45
x+19=y
45-y+19=y
2y=64
y=32
x=13
Answer: The other number is 19 more than that number represented by x + 19
Equation: x + (x + 19) = 45
The numbers are 13 and 32
Step-by-step explanation:
So we know that the sum is 45, and that one of the numbers in the equation is 19 more than the other. We can call one of the numbers "x". The instructions tell us that the second number is 19 more than x, so the second number can be written as this equation: x+19
Equation: x + (x + 19) = 45
2x + 19 = 45
2x = 26
x = 13
Plug x back into the equation to find the second number (x + 19)
x + 19
13 + 19 = 32
Help!!!!! find the value of x.
Answer:
x = 48
Step-by-step explanation:
The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:
x - 12 + 3x = 180
4x - 12 = 180
4x = 192
x = 48
Answer:
[tex]x=42[/tex] ✔︎
Step-by-step explanation:
∠1 + ∠2=1803x+x-12=1804x-12=1804x=180-124x=168x=42°∠1= 3x=3×42=126°
∠2=x-12=42-12= 30°
------------------------------
hope it helps...
have a great day!!
What is the area of the real object that the scale drawing models?
Scale factor 1.3
Area 20 square Scale drawing Object
A. 60 square cm
B. 20 square cm
C. 120 square cm
D.180 square cm
Answer:
c: 120
Step-by-step explanation:
Write the simplest form of this ratio and its method.
2/3 : 3/2 : 5/8
Answer:
16 : 36 : 15
Step-by-step explanation:
2/3 : 3/2 : 5/8
multiply each term by the lowest common denominator: 24
16 : 36 : 15
In selecting one card from a deck of cards is obtaining a queen and obtaining a 2 mutually exclusive events?
A: Yes/True
B: No/False
Answer:
Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.
Since in this question, we have selected one card from a deck, and is obtaining a 2 and a queen.
I think the answer for this would be No/False but if i'm wrong, tell me!
i need help 3x²+7x+3=0
Answer:
60
Step-by-step explanation:
3x=3 multiplied by 2 which is 3x3=9
so, 9+(7x= 7x7=49) 49+3=61 rounded to 60
Finished goods inventory is $197,000. If overhead applied to these goods is $72,000, and the overhead rate is 150% of direct labor, how much direct materials cost was incurred in producing the inventory
Answer:
77,000
Step-by-step explanation:
If 72,000 is 150% of direct labor, then direct labor is 48,000 (72000/1.5)
direct labor 48000
overhead. 72000
total. 120,000
total costs: 197,000
less total above: 120,000
=material costs. 77,000
The average of 2 3 and what number is 10?
pls help
help with the Triangle sum theorem
Answer:
180
Step-by-step explanation:
If you add 60 +60 + 60, or 60 + 50 + 70, both would add up to 180, since x = 60. This is why both triangles, have a complete of 180.
Answer:
A triangle has 3 sides in every triangle all the three sides should sum up to 180°.
In the 1st figure,
70+50+x=180 (being sum of triangle)
now 120+x=180
x=180-120
=60
Step-by-step explanation:
In the 2nd figure
x is 60
60+60+60=180,
Thus explained
Which trig ratio? Can you solve this??
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
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Solve 11-Jx+4 = 0 for real
Question for 1 B)
Answer:
x = 117
Step-by-step explanation:
Given
11 - [tex]\sqrt{x+4}[/tex] = 0 ( subtract 11 from both sides )
- [tex]\sqrt{x+4}[/tex] = - 11 ( square both sides )
(- [tex]\sqrt{x+4}[/tex] )² = (- 11)²
x + 4 = 121 ( subtract 4 from both sides )
x = 117
Two sides of a parallelogram are 9.5 feet and 4.9 feet. The measure of the angle between these sides is 96°. Find the area of the parallelogram to the nearest 10th of a square foot
Answer:
The area of the parallelogram is of 46.3 square feet.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram, given two sides a and b and the angle C between them, is given by:
[tex]A = ab\sin{C}[/tex]
In this question:
[tex]a = 9.5, b = 4.9, C = 96º[/tex]
Sides in feet, so area in square feet.
Area
[tex]A = ab\sin{C} = 9.5*4.9\sin{96º} = 46.3[/tex]
The area of the parallelogram is of 46.3 square feet.
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related? The surface areas are the same. The surface area of the larger prism is 2 times the surface area of the smaller prism. The surface area of the larger prism is 4 times the surface area of the smaller prism. The surface area of the larger prism is 8 times the surface area of the smaller prism.
we know that
if the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism and the two triangular prisms are similar
then
the scale factor is equal to
so
substitute the value of the scale factor
therefore
the answer is the option
Answer:
The surface area of the larger prism is 4 times the surface area of the smaller prism.
What is coordinates of point C?
Answer:
(3,6)
Step-by-step explanation:
Using the midpoint segment formula
M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]
Given (-2 -6) and (4,6) divided in the ratio 1:5
X = 1(-2) + 5(4)/1+5
X = -2+20/6
X = 18/6
X = 3
Similarly
Y = 1(-6)+ 5(6)/1+5
Y = -6+30/6
Y = 24/6
Y = 4
Hence the required coordinate of C is (3,6)
1) Find the area of ABC to the nearest square centimeter.
that is right correct answer
Grace is planning to install grass in the yard shown above. She will not be putting the grass in the two circular flower beds or the rectangular pool.
For this part of the question find the area of the 2 circular flower beds, use 3.14 for pi and round your answer to 2 decimal places.
Answer:
5.39
Step-by-step explanation3.14
A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds.
Which of the following statements is relevant to the assumption of Normality?
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale
Answer:
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
Step-by-step explanation:
The population mean = μ= 7.5
Sample mean = x`= 7.3
Sample standard deviation= s= 0.6
Sample size = 87
Assuming normality we perform z test
z= x`-u/s/√n
z= 7.3-7.5/0.6/√87
z= -3.11
The critical region for 0.05 for two tailed test is z>+1.96 and Z<-1.96
Since the calculated z= -3.11 falls in the critical region Z<-1.96 we conclude that birth rate is lower in the young mothers.
a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
Only choice a is correct because when n > 30 the population standard deviation and the sample standard deviation are assumed to be normal
Choice b cannot be the correct option because it is already inferred that only one baby was measured per mother.
Choice C cannot be also the best choice because it is already assumed.
Choice d is totally incorrect.
What is the area of the following figure?
Answer:
what figure there is no picture
to know the area of
find the measure of each angle indicated
a. 33
b. 36
c. 31
d. 136
Answer:
31
Step-by-step explanation:
Let the missing angle be x.
Sum of angles in a triangle is supplementary,
x + 20 + 129 = 180
x + 149 = 180
x = 180 - 149
x = 31
Answer:
31
Step-by-step explanation:
A triangle is 180 degrees.
129 + 20 = 149
180 - 49 = 33
What is the rule of 72?
Answer:
Brainiest please
Step-by-step explanation:
In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.
Describe the solution in words to the inequality 4
Answer:
Full problem or picture?
The relationship between the distance biked and time for Jeremy can be represented by the equation y = 12x, where he biked y miles in x hours. Below is a table that represents the number of hours and miles Kevin rides.
Time in hours (X) Distance in miles (y)
1.5 8.25
2 22
3.5 19.25
4 33
A third biker, Lauren rides twice as fast as Kevin. Use Y to represent the number of miles Lauren travels in x hours. Assume all bikes ride at a constant rate.
Which Statement accurately compares the biking speed of Lauren to Kevin and Jeremy?
a) The biking speed of Lauren is greater than the biking speeds of both Kevin and Jeremy.
b) The biking speed of Lauren is less than the biking speeds of both Kevin and Jeremy.
c) The biking speed of Lauren is greater than the biking speed of Kevin and less than the biking speed of Jeremy.
d) The biking speed of Lauren is less than the biking speed of Kevin and greater than the biking speed of Jeremy.
Answer:I put c I have the same question I'm doing a test
Step-by-step explanation:
Answer:
answer=c
Step-by-step explanation:
is the right answer
Enter the value of p so that the expression (7 + 4n)3 is equivalent to 3 (4n + p).
I NEED HELPPP
Answer:
7
Step-by-step explanation:
Makes both expressions exactly identical and equivalent in value.
A tennis court has a length of (5x+7) and a width of (3x-3).
What is the area of the tennis court?
answer plz faaast any one know the answer
Step-by-step explanation:
[tex] \binom{ \lim}{x→0} ( \frac{1}{x} - \frac{1}{ \ \: sinx} ) = \binom{ \lim}{x→0}( \frac{ \ sinx - x }{x \ sinx } ) = \binom{ \lim}{x→0}( \frac{ \ cosx - 1 }{x \ cosx + \ sinx } ) = \frac{0}{0} = 0[/tex]
Three postal workers can sort a stack of mail 10 minutes , 35 minutes, and 70 minutes respectively. find how long it takes them to sort the mail if all three work together
9514 1404 393
Answer:
7 minutes
Step-by-step explanation:
The total of stacks per minute is ...
1/10 +1/35 +1/70 = (7+2+1)/70 = 1/7 . . . . stacks per minute
The rate in minutes per stack is the reciprocal of this.
Working together, the workers can sort a stack of mail in 7 minutes.