Answers
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
Related Questions
a rectangle and square equal perimeter if the rectangle has width 8 cm and length 12 cm what is the area of square
Answers
Answer:
Step-by-step explanation:
100 sq cm
CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU
Answers
Answer:
[tex]10\frac{7}{18}[/tex]
Step-by-step explanation:
First revert it to improper fraction.
[tex]\frac{13}{2} +\frac{35}{9} \\\\[/tex]
Now put them to a common denominator.
[tex]\frac{187}{18}[/tex]
=> [tex]10\frac{7}{18}[/tex]
You get 11 points if you answer a.s.a.p
Answers
Answer:
Have you got it now?
Step-by-step explanation:
59.73 - 21.876
can u help me
Answers
Answer:
37.854
Step-by-step explanation:
59.73-21.876=37.854
What is the common factor in the expression 6ba + 2ab? *
Answers
Answer:
2ab
Step-by-step explanation:
6ba + 2ab = 2ab(3+1)
= 2ab (4)
so, the common factor = 2ab
Answer:
2ab
Step-by-step explanation:
Please answer quickly
Answers
Answer:
10
Step-by-step explanation:
given :
length WX ≅ (congruent means equal) length XY
therefore , WX = 3
WZ = WX + XZ
WZ = 3 + 7
WX = 10
find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP
Answers
Answer:
[tex]192.27\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.
What we're given:
2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degreesTherefore, the area of the shaded regions (two sectors) is:
[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]
Hello, someone knows the answer, could you help me thank you please ;(
Answers
Answer:
22/33and 14/21
1/3
mark as brainiest please
The graphs below have the same shape. What is the equation of the red
graph?
F(x) =
A. F(x) = (2 - x)
B. F(x) = (3-X)
C. F(x) = 3 - X2
D. F(x) = 2 - x?
Answers
The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
What is the general equation of parabola?The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].
Where,
(h, k) are the vertices of the parabola.
According to the given question.
We have two graph.
The blue and red graph both represents the equation of downward parabola.
Since, blue graph represents the equation of downward parabola.
Whose equation is given
[tex]G(x) = 5 - x^{2}..(i)[/tex]
The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]
Where, (h, k) are the vertices of the parabola.
Compare the equation (i) with (ii)
We get
(h, k) = (0, 5) and a = -1.
Now, the red graph which also represents the downward parabola whose vertices are (0, 2)
Therefore, the equation red graph is given by
[tex]F(x) = a(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = 2 - x^{2}[/tex]
Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
Find out more information about equation of parabola here:
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An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
Answers
error = 62-60 = 2°
% = (2×100)/60 = 100/30 = 10/3 = 3.333%
How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}
Answers
Answer:
There are 24 different correspondences.
Step-by-step explanation:
A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.
So, to count all the possible combinations, we need to find the number of possible options for each mapping
The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.
The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).
The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.
The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.
The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:
Combinations = 4*3*2*1 = 12*2 = 24
There are 24 different correspondences.
6x - 5y = 70
7x + 2y = 66
Answers
Answer:
(10,-2) x=10 y=-2
Step-by-step explanation: I used substitution
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answers
Answer:
Step-by-step explanation:
27 degrees
Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.
Answers
Given:
The equation of a line is:
[tex]y=5x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=5x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=5[/tex]
Slope of the given line is 5.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.
The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=5(x-3)[/tex]
[tex]y+4=5(x)+5(-3)[/tex]
[tex]y+4=5x-15[/tex]
Subtracting 4 from both sides, we get
[tex]y+4-4=5x-15-4[/tex]
[tex]y=5x-19[/tex]
Therefore, the equation of the required line is [tex]y=5x-19[/tex].
solve for " x "
[tex]x = 42 - 9[/tex]
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]x = 42 - 9[/tex]
➼[tex]\:x = 33[/tex]
Therefore, the value of [tex]x[/tex] is 33.
[tex]\sf\pink{Thank\:you. \:ヅ}[/tex]
Answer:
x =33
Step-by-step explanation:
x = 42-9
We are solving for x, which is already isolated
42-9 = 33
x = 33
Check 33+9 = 42
Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem.
Answers
Answer:
possibly 11 hours on each which is embarrassing
Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110
Answers
Answer:
Why was Mrs Hallette unhappy when people asked about her son?
Step-by-step explanation:
help pls it’s due in 2 hours
Answers
Step-by-step explanation:
tan < BCA = x/y = 3/18= 0.1667
< BCA = arc tan 0.1667 = 9.464° => 9.46°
Can someone help me?It's urgent and thank you!
Answers
Answer:
x = 9
Step-by-step explanation:
square each side first to get:
8x - 8 = 64
8x = 72
x = 9
If you have to multiply the previous number by 2 in the y intercept in order to receive the next number, what would the equation be?
Answers
Answer:
Jsjsjsjsjwjwksjsjjsisisiwiw
Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3
What is the length of segment BC?
Answers
Answer:
3
Step-by-step explanation:
A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3
[tex]9 \div 3 = 3[/tex]
The length of the segment BC or preimage of BC was 3 units.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.
From the graph diagram the length of segment B'C' is 9 units.
Therefore, Before the dilation, the length of the segment BC would be
(1/3)×9.
= 3 units.
learn more about transformations here :
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What is the answer to -4 + 10.
Negative 4 plus 10
Answers
Answer:
Six
Step-by-step explanation:
10 - 4 = 6
-4 + 10 = 6
Answer:
6
Step-by-step explanation:
[tex] - 4 + 10 = 6[/tex]
6
Convert 4cm to meters
Answers
Answer:0.04
Step-by-step explanation:
Answer:
0.04 meters
It's too simple
Fill in the blanks with the most appropriate words given below.
around, react, too, method, fields, on, plants,
together, is, family, planter, weeds, experience, talking
Ecology is the study of how (1)… ……………………, animals and people live (2)…… ………… and
help each other. But man sometimes forgets he (3) ……..……….. a part of the (4)……………….. of
all living things. Here is an example. A planter is (5)………………. about killing (6)… ……………
on his land. He remembers his first (7)……………….… with a weedicide. He was a (8)
………………….. then, working (9)………..………..a rubber plantation. He had a problem with
weeds. The cost of weeding of the (10)…….…………… by hand was getting (11)………..…………
high. So he used a new, cheap and effective (12)……………………, good old Sodium
Arsenate. He sprayed plenty of this (13)………………………… to kill the weeds. The first thing to
(14)…………………… were the frogs.
Answers
Answer:
1. plants
2. together
3. is
4. family
5. talking
6. weeds
7. experience
8. planter
9. on
10. fields
11. too
12. method
13. around
14. react.
Explanation:
The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.
The blanks in the given passage are filled with the appropriate words as follows-
Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.
25.673 round off to the nearest hundredth
Answers
Answer:
25.67
Step-by-step explanation:
Look at the thousandth place. If it is 5,6,7,8 or 9 then add 1 to hundredth place. If it is less than 5, then write the hundredth place as it is
25.67
Find the equation for the line that passes through the point (−3,−3), and that is perpendicular to the line with the equation x=4.
Answers
Answer:
y = - 3
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis
A line perpendicular to it will be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates of the points the line passes through.
The line passes through (- 3, - 3) with y- coordinate - 3 , then
y = - 3 ← equation of perpendicular line
[tex]x^{2} +2000+15637=56 \\\\what is X\\\\PLEASE HELP[/tex]
Answers
Answer:
not defined
Step-by-step explanation:
[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]
Plot the points (-6,8) and (-6,-3) on the coordinate plane below.
What is the distance between these two points?
units
Answers
Step-by-step explanation:
the distance between these two points is 11 units
PLZ ANSWER AND EXPLAIN IN DETAIL !!!!
Answers
Answer:
720 liters
Step-by-step explanation:
In 2019 (a non-leap year)
January has 31 days
February has 28 days
March has 31 days
The Total number of days is 90 days
Each day shows a consumption rate of 8 liters / day
Total consumption = 8 * 90 = 720
plz anser this nathanmalhotra (if your not them dont anserw) From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?
Answers
Answer:
11/10°C
Step-by-step explanation:
7 x 3/10 = 21/10
Temperature at midnight = -1°C
Temperature at 7.00 am = 21/10°C -1°C = 11/10°C
Answer:
1.1°C
Step-by-step explanation:
Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.
Hope this helps!
