Choose the correct value of x AND the correct value of y from the choices below.
y
45°
16
x = 8/3
x = 8
y=8V2
y=8V3
y = 8
x = 82
Answers
Answer:
x = [tex]\frac{16}{\sqrt{2} }[/tex] and y = [tex]\frac{16}{\sqrt{2} }[/tex]
Step-by-step explanation:
Applying the trigonometric functions to the given triangle;
i. To determine the value of x;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 45 = [tex]\frac{x}{16}[/tex]
x = 16 * Sin 45
= 16 * [tex]\frac{1}{\sqrt{2} }[/tex]
x = [tex]\frac{16}{\sqrt{2} }[/tex]
ii. To determine the value of y;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos 45 = [tex]\frac{y}{16}[/tex]
y = 16 * Cos 45
= 16 * [tex]\frac{1}{\sqrt{2} }[/tex]
y = [tex]\frac{16}{\sqrt{2} }[/tex]
Thus, x = [tex]\frac{16}{\sqrt{2} }[/tex] and y = [tex]\frac{16}{\sqrt{2} }[/tex]
Related Questions
Help with this please!!
(State the domain and range this parabola)
Answers
Answer:
i think c dont trust
Step-by-step explanation:
The functions (x) and g(x) are defined below.
f(x)=2^x+1
g(x)=3^x
Determine where f(x) = g(x) by graphing.
A. x= 1; x=3
B. x=1
C. x= -1
D. x= -1; x=1
Answers
I hope it’s helps you :)
Can someone plz help me with this one problem plzzzzz!!!
Answers
i dont know what the answer to this problem is i need help
Answers
Answer:
The answer to your question is choice a
Which statement is true about the pattern above?
Answers
Answer:
The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.
Step-by-step explanation:
(NOOOOOOOOOOOOOO LIIIIIIIIIIIIIIINKS!!!!!!!!!)
Fill in the missing digits: _37_ minus 2465 = 59_7
I REPEAT, NO LINKS!
Answers
8372-2465=5907
helpppp pleaseee
NO LINK
Answers
Answer:
The graph increases
Step-by-step explanation:
A sign made of solid wood is in the shape of a pyramid. The base is a triangle with a base of 6 feet and a height of 4 feet. The height of the sign is 7 feet. The wood costs $3 per cubic foot. What is the cost of the sign?
Answers
Answer:
$144
Step-by-step explanation:
Volume of the pyramid = 1/3BH
Base area B = 1/2 * 6 * 4
Base area B = 12 ft²
Height H = 4ft
Volume of the pyramid = 12 * 4
Volume of the pyramid = 48ft³
SInce 1 ft³ = $3
48ft³ = x
Cross multiply
x = 3 * 48
x = 144
Hence the cost of the sign is $144
can somebody please help fast?
Answers
Explanation: one Y goes to one X.
PLEASE HELP ME!!!
How many blue pens were there to start with?
Answers
Answer:
180 blue 70 red
Step-by-step explanation:
b= blue r = red
b+r = 250
r = (250-b)
If 40% is removed the rest is 60%
If the 70% is removed the rest is 30%
0.6b + 0.3(250-b) = 129
0.6b + 75 - 0.3b = 129
0.3b = 54
divide by 0.3
b = 180
250-180 = 70
60% 0f 180 = 108
30% of 70 = 21
108 +21 = 129
please help meeee! asap. tia
Answers
Answer:
B
Step-by-step explanation:
Equations have answers to it's problem. The equal sign (=) would usually tell you if it is or not. Has an equal sign, equation, no equal sign, not an equation.
Good luck :)
What is the probability that Sarah will not select the queen of hearts?
Answers
Answer:
?
Step-by-step explanation:
Answer:
1/52
Step-by-step explanation:
There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.
combine like terms to write an equivalent expression for
2( 4y^2 + 6x - 2y^2 + 12x.)
Answers
= 4y^2 + 36x
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly.
Answers
Answer:
perimeter of rectangle=2(l+b)
=2(13.5+7)
=2*20.5
=41
area of rectangle=l*b
=13.5*7
=94.5 inch^2
area of triangle=1/2*b*h
=9.48*4.2/2
=19.90
=19.9
perimeter of triangle=a+b+c
=(4.46+9.48+10) inches
=23.94 inches^2
to find x
7x+2=3x+18
7x-3x=18-2
4x=16
x=16/4
x=4
perimeter of rectangle=2(l+b)
=2(7x+2+12.5)
=2(7*4+12.5)
2*40.5
=81
perimeter of triangle=1/2*b*h
=7.3*6.3/2
=45.99/2
=22.99
=23 mm^2
area of a triangle=a+b+c
=s+s+s
=7.3+7.3+7.3
=21.9 mm^2
Radius=14 inc
diameter=radius*2=28 inc
circumference=2πr
=2*3.14*14
=87.92
area of ciecle=π[tex]r^{2}[/tex]
=3.14*(14)^2
=3.14*196
=615.44
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.
Answers
Answer: [tex]67.68^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle W=90^{\circ}[/tex]
[tex]VW=32\ ft[/tex]
[tex]WU=78\ ft[/tex]
from the figure, we can write
[tex]\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}[/tex]
If an airplane flying at a constant rate of speed covers 800 mi. in 4 hr., how fast is it flying? A. 100 mph B. 150 mph C. 200 mph D. 300 mph
Answers
Answer:
The answer would be C. 200 mph.
Step-by-step explanation:
200 times 4 is 800
Part A
Consider the function F whose graph is shown below
A −10≤x≤8
B−9≤x≤6
C−6≤x≤4
D−9≤x≤7
Part B
The range of the function is BLANK ≤f(x)≤ BLANK.
Answers
Answer:
Part A) DPart B) -6≤x≤4Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?
Answers
Answer:
4/13
Step-by-step explanation:
Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13
3) Six teams are playing in a baseball tournament. In how many ways can the teams be crowned champion and
runner-up?
Answers
Answer:
15ways
Step-by-step explanation:
This question bothers combination
Combination has to do with selection
Given
Total number of teams = 6
champion and runner up = 2
number of ways is expressed as 6C2
6C2 = 6!/(6-2)!2!
6C2 = 6!/4!2!
6C2 = 6*5*4!/4!*2
6c2 = 30/2
6C2 = 15
Hence the number of ways they can be selected is 15ways
A cylinder has a height of 1.2 cm and the following base. 5 mm
What is the volume of the cylinder in cubic millimeters?
94.2 mm 3
376.8 mm 3
942 mm 3
37.68 mm 3
Answers
Step-by-step explanation:
this picture will help
you
Answer:
942 mm 3
Step-by-step explanation:
Since 1.2 cm isn't mm we have to convert that, which will be 12. now we do the formula, which is
V=3.14 x r2 x h
and when we plug in the numbers,
V=3.14 x 25 (5x5) x 12
which is 942
Hope this helps!
Which equation represents a nonlinear relation?
A y=6x
B y-x=x^2
C x-5=y-7
D y=2x/x-5
Answers
What is the distance between (3,8) and (10,8)
Answers
Answer:
7
because 10.8 - 3.8 =7
therefore the answer is 7
PLEASE SOMEONE ANSWER THESE! please give actual answers and not something random just to get points!
a. What is the relationship between ∠FEB and ∠ABE?
b. What are the two parallel lines in this diagram?
c. What are the two transversals?
d. Find m∠ABE.
e. Find m∠ABF.
f. Find m∠EBF. How did you find this?
f. . Find m∠FBC. How did you find this?
Answers
Step-by-step explanation:
a. They are alternate interior angles.
b. Line AC and Line DG
c.Line BE and Line BF
d. 45
e. 110
f. 65, triangle exterior theorem
f. 70, alternate interior angles
can you show me the answer
Answers
Answer:
which answer?
Step-by-step explanation:
..........
How much is 3 tenths if 40 secret objects
Answers
Answer:
12
Step-by-step explanation:
=40*3/10
=120/10
=12
Help please !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
i would say its C but im not 100% sure
Step-by-step explanation:
Can someone pls give me the answer to this?
Answers
Answer:
(4, -6)
Step-by-step explanation:
Answer:
4, -6
Step-by-step explanation:
:) hope i helped
There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 sets of random numbers from 1 to 4. The number 3 represents Dane's making a three-point shot. Look at the table.
Answers
Answer:
there is no table. Sorry!
Step-by-step explanation:
Find the median and mean of the data set below: 3,31,2,49,34,15,34 3,31,2,49,34,15,34
Answers
Answer:
Median:31
Mean:24
Step-by-step explanation:
helppp please!!! with the equation, i have no clue
Answers
Answer:
look at the picture i have sent