Answers
Answer:
[tex]4.\ \sin E = \cos G[/tex]
Step-by-step explanation:
Given
[tex]\triangle EFG[/tex]
[tex]\angle F = 90^o[/tex] --- right angle
Required
Which of the options is true
In a triangle, we have:
[tex]\angle E + \angle F + \angle G = 180^o[/tex] --- angles in a triangle
Substitute [tex]\angle F = 90^o[/tex]
[tex]\angle E + 90^o + \angle G = 180^o[/tex]
Collect like terms
[tex]\angle E + \angle G = 180^o -90^o[/tex]
[tex]\angle E + \angle G =90^o[/tex]
This implies that E and G are complementary angles.
For complementary angles, E and G;
[tex]\sin E = \cos G[/tex] and [tex]\sin G = \cos E[/tex]
Hence, (4) is true
Related Questions
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answers
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
Stephan can type 2700 words in 90 mins Jim can type 2450 in 70 mins gavin can type 1600 words in 40 mins who can type the fastest rate of words per minute
Answers
Answer:
Gavin with 40 words per minute
Step-by-step explanation:
Stephan speed- 2700 words/90 minutes = 30 words per minute
Jim speed- 2450 words/70 minutes= 35 words per minute
Gavin 1600 words / 40 minutes= 40 words per minute
Find a,b,c and d?..........
Answers
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3
sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle
Answers
9x =90
x=90/9
=10
4×10= 40
5×10=50
Josh used 3 packages of spaghetti to make dinner for 19 guests. How much did
each guest have?
Answers
Answer:
6.3
Step-by-step explanation:
19/3=6.3 repeating so i just shortened it to 6.3.
final answer: 6.3
What does the digit 8 represent in 687, 413?
Answers
Answer:
80,000
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Hundreths
Step-by-step explanation:
The perimeter of the
rectangle is 14 m and
the area is 12 m2.
Calculate the length
of the rectangle
diagonal
Answers
Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5
Determine the equation of the circle graphed below.
Answers
Step-by-step explanation:
radius= √(2+2)²+(0+3)²=√4²+3²=√16+9
=√25=5
the equation is
(x+2)²+(y+3)²=25
or
x²+y²+4x+6y-12 = 0
A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?
A. 90 degrees
B. 145 degrees
C. 55 degrees
D. 180 degrees
Answers
Answer:
55°
Step-by-step explanation:
triangle= 180°
third angle= 180-90-35
= 55°
(help) what type of triangle is shown below
Answers
What are the Missing sides?
Answers
Answer:
i think the answer is A ,if I'm wrong plz tell me
Anybody Know? It’s just a SOLVE FOR X
Answers
Answer:
Hello! answer: 10
Step-by-step explanation:
x = 10 because...
10 × 3 = 30 30 + 5 = 35 35 + 55 + 90 = 180 therefore x = 10 hope that helps!
what is the area of this figure
Answers
Answer:
A=162.56in^2
Step-by-step explanation:
make sure u separate the different shapes
Please help me out I don’t understand this.
Answers
The area (A) of a trapezoid is calculated as follows:
A = 1/2 * sum of the parallel sides * height
In this case:
A = 1/2 * (23 + 5) * 12 = 168 yd^2.
Answer: it’s 168
Step-by-step explanation:
DNA contains the genetic code of an organism. The length of a DNA strand is about 10-7 meter. Which of the following represents the length of the DNA strand as a decimal?
Answers
Step-by-step explanation:
Write each decimal using a negative exponent. ... DNA contains the genetic code of an organism. ... meter. Which of the following represents the length of the DNA strand as a decimal?
work out the area of this circle. take pi to be 3.142 and give your answer to be 2 decimal places. 11,2 cm
Answers
Answer:
11.2 i think so but you will write 11.2
Solve for (0,2π]
2cos ß * sin ß = cos ß
Answers
Given :
An equation, 2cos ß sin ß = cos ß .
To Find :
The value for above equation in (0, 2π ] .
Solution :
Now, 2cos ß sin ß = cos ß
2 sin ß = 1
sin ß = 1/2
We know, sin ß = sin (π/6) or sin ß = sin (5π/6) in ( 0, 2π ] .
Therefore,
[tex]\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}[/tex]
Hence, this is the required solution.
Rewrite the following logarithmic expression as an exponential expression
Answers
Answer:
it should be the same answer....?
Step-by-step explanation:
what is the perimeter of this given figure
pahelp po. thank you
Answers
Answer:
14 units
Step-by-step explanation:
Side length of each square is 1 unit.
So, sum of the lengths of all the border edges = 14 units
Thus, the Perimeter of the figure = 14 units
Answer: 14
Luigi ha 2 figli di 15 e 11 anni. Fra 18 anni la sua età sarà uguale alla somma delle età che avranno i figli. Quanti anni ha oggi Luigi?
Answers
Answer:
please if you need help, type in English, thanks :)
HELPPP HELPPP HELPPP!!!!
Answers
Answer:
Step-by-step explanation:
area =8*4 cm
=32 cm^2
Answer:
area of the figure=8×4
=32 cm²
halps pleasessssssssss
Answers
Answer:
SAS. ( side, angle, side)
in option 2nd
Answer:
False
SAS = This stands for Side Angle Side congruency theorem
Step-by-step explanation:
Question 1.)
If any of the 2 angles of any triangle is congruent to any of the 2 angles of the other triangle, then this would be true. Let's find the measure of ∠R and ∠G:
=> ∠G = 180 - (98 + 30)
∠G = 52
=> ∠R = 180 - (98 + 26)
∠R = 56
Now we know that Angles of ΔHIG are 30, 98, and 52, and Angles of ΔSQR are 26, 98, and 56. 2 angles of 1 triangle are not congruent 2 angles of the other triangle, therefore the triangles aren't congruent.
Question 2.)
SAS congruency is used since an angle and it's 2 adjacent sides are given for each triangle.
Hope this helps!
In a dark room, the pupil of a human eye grows to a diameter of about 3.2 x 10 inches. It
bright light, the pupil shrinks to a diameter of about 8 x 10 inches. How much greater is
the pupil's diameter in a dark room than in bright light?
Answers
Answer: the answer is 48 inches
Step-by-step explanation:
Please help!!! Here’s a picture of my question
Answers
Answer:
option no. D
Step-by-step explanation:
i+34j+14k
hope it helps
Find the value of x for which ABCD Is a parallelogram:
Please help :,)
Answers
x =5
Explanation :
In a parallelogram opposite sides are equal.
So, 4x =20 (OR) 3x +10 = 5x
x = 20/4 10 = 5x -3x
x = 5 10 = 2x => x =10/2 => x = 5
I need help with this question
Answers
when they are nect to each other they have to add to be 180.
angle 6 (100°) + angle 5 (80°) = 180°
please give answer would be cool
+
Answers
Step-by-step explanation:
38 to 18 m square / videos 400
If a vehicle to school and 72 mph how many feet does vehicle travel in one second
Answers
Answer:
The vehicle travels 105.6 feet in one second.
Step-by-step explanation:
This question is solved by proportions.
72 mph
One hour has 3600 seconds.
Each mile has 5280 ft.
So in 3600 seconds, the vehicle travels 5280*72 = 380160 feet. In one second, how many feet?
3600 seconds - 380160 feet
1 seconds - x feet
Applying cross multiplication:
[tex]3600x = 380160[/tex]
[tex]x = \frac{380160}{3600}[/tex]
[tex]x = 105.6[/tex]
The vehicle travels 105.6 feet in one second.
-2x^2+6x+1=-3x^2 solve to the nearest tenth
Answers
Step-by-step explanation:
The given equation is :
[tex]-2x^2+6x+1=-3x^2[/tex]
Taking all the terms to one side of the equation i.e.
[tex]-2x^2+6x+1+3x^2=0\\\\x^2+6x+1=0[/tex]
It is a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here, a = 1, b = 6 and c = 1
Put all the values,
[tex]x=\dfrac{-6\pm \sqrt{6^2-4(1)(1)}}{2(1)}\\\\x=-0.171\ and\ x=-5.82[/tex]
Hence, this is the required solution.
g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.
Answers
Answer:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
A 95% confidence interval for the population proportion was 0.68 ± 0.04.
We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.
Thus, the correct answer is:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.