Answer:
A
Step-by-step explanation:
law of sine
c/sin(C) = b/sin(B) = a/sin(A)
with the sides and corresponding angles being always opposite.
sin(90) = 1
sin(30) = 0.5
c, the Hypotenuse, is the longest side in such a right-angled triangle.
c/1 = b/0.5
b = c×0.5 = c/2
so, one side has to be half the length of the longest side (Hypotenuse).
the only answer meeting that criteria is A.
the longest side is 10×sqrt(3) = 17.32...
the side half of that is 5×sqrt(3).
and Pythagoras for such a triangle is then
c² = (c/2)² + a²
c² = c²/4 + a²
so, a² = 3c²/4
c² = c²/4 + 3c²/4
therefore we can check also the third side
15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²
correct.
A is such a triangle.
Enter the values in order from least to greatest. |−2|, |3|, |−9|, |1|
Answer:
(-9), (-2), 1, 3
Step-by-step explanation:
Answer:
|1|, |-2|, |3|, |-9|
Step-by-step explanation:
Find the absolute values
Order from least to greatest
1. The first three terms and the last term of a finite arithmetic sequence are - 92,- 88. -
84, ...,12.Find the number of terms in the sequence.
A. 20
B. 25
C. 27
D. 30
The number of terms in the given arithmetic sequence is 27 so option (C) will be correct.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given the AP;
- 92,- 88, -84, ...,12.
First term (a) = -92
Common difference(d) = -88 + 92 = 4
The nth term or last term = 12
Nth term is given as ;
⇒ a + (n - 1)d
12 = -92 + (n - 1)4
n - 1 = 26
n = 27
Hence "The number of terms in the given arithmetic sequence is 27".
For more about Arithmetic progression
https://brainly.com/question/20385181
#SPJ2
Given the equation: = 4, which property should be applied first?
A man can make 12 birdhouses in 8 hours. How many hours will it take him to make 30 birdhouses?
|x - 2] + 5 = 9
anyone know the answer?
Answer:
6
Step-by-step explanation:
replace x with 6, so 6-2+5=9
Which expression is equivalent to 50En-1(n(4n+3))
Answer:
equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}
Answer: D
Step-by-step explanation: Im from the future D is correct on edge yw :)
Am i right please help asap
Answer:
yea i think
Step-by-step explanation:
area of a triangle = (hb)/2
19x14 = 266
266/2 = 133
pls help) The vertices of a triangle are as follows: (2, 3), (4, -4), and (2, -2) If you dilate the triangle by a scale factor of 2, what are the vertices of the new triangle?
(4, 5), (6, -2), (4, 0)
(4, 6), (8, -8), (4, -4)
(4, 9), (16, 16), (4, 4)
(1, 1.5), (2, -2), (12, -12)
Answer:
(4, 6), (8, -8), (4, -4)
Step-by-step explanation:
Answer:
(4, 6), (8, -8), (4, -4)
Step-by-step explanation:
Hope this helps
The distance between city A and city B is 760km. A car starts to travel from A to B at 80 km/h at 8 o'clock. The other car starts to travel from B to A at 120 km/h at 10 o'clock. At what time will the cars meet?
The flashlight you are using to find your phone is a green flashlight which isn't good for finding things in the dark. You decide to go grab your yellow flashlight instead. Which wave property differs in the two flashlights causing this difference in color? Explain.
Answer:
their wavelength
Explanation:
A wave refers to disturbances or vibrations that travel from one medium or vacuum to another in an organized way, while wavelength refers to the distance between two consecutive peaks of waves.
For example, the wavelength of green light is 550nm (nanometre), while that of yellow light is 580nm (nanometre).
This difference in the color of the flashlights is visible to the human eyes because the human eye is believed to be able to detect any wavelengths of light from 700 nanometres to about 400 nm for violet light.
The value of a computer is given by the expression 2000+(-200t) where t is the time in years.
If it was one year it would be 2200 and you just keep adding 200 for each year.
If a train travels 420 miles in 24 hours , what is it’s unit rate in travel ?
Answer:
17.5 miles per every hour
Step-by-step explanation:
All you do is divide 420 by 24 to find the unit
Unit rate = total miles/ total time.
Unit rate = 420/24 = 17.5 miles per hour
910÷(−65) i don't understand
Answer:
-14
Step-by-step explanation:
Of course, 910 divided by 65 is 14, but since 65 was negative, the answer must be negative. If both numbers were negative, then it would be positive, but in this case, it would be negative as 65 was negative.
A car can travel 156 kilometers on 13 liters of gasoline. How much gasoline will it need to go 480 kilometers?
Answer:
40
Step-by-step explanation:
To find how much gasoline is needed for 480 kilometers, we will need to find how much is needed per kilometers:
13 liters is used for 156 kilometers
156/13 = 12 so 1 liter gasoline is spent per 12 kilometers
So for 480 kilometers we would need 40 liter gasoline because
480/12 = 40
ASAP for BRAINLIEST :fill in the blank if 19/24=3/x, then x is
Answer:
x= 72/19
Step-by-step explanation:
et's solve your equation step-by-step.
19
24
=
3
x
Step 1: Cross-multiply.
19
24
=
3
x
19*x=(3)*(24)
19x=72
Step 2: Divide both sides by 19.
Helpppp pls this involves compound interest
Answer:
[tex]f(x)=9500(1.0625)^x[/tex]
Step-by-step explanation:
Formula for compound interest / exponential functions:
[tex]f(x)=a(b)^x[/tex]
a represents the initial value, b represents the multiplier, and x is the duration / inputs.
In this case, 9,500 is the amount invested, so that's the initial value. The factor here is 6.25% which turned into a decimal is 0.625, but we have to add 1 to that since we have to include the original 100% from when we invested the $9,500. Lastly, x is the number of years, so that remains the same as the formula.
#LearnWithBrainly
Which function has an inverse that is also a function?
G(x)=2x-3
Answer:
x/2+3/2
Step-by-step explanation:
brainliest for correct answer
helpppp plsssssssssss
Answer:
65 degrees
Step-by-step explanation:
corresponding angles
Given H(t)=10-2t^2 , find h^-1 (t)
NEED HELP WITH MATH!!! 10pts
Answer:
D
Step-by-step explanation:
Divide the two equations using polynomial division and you will get your answer.
Hope this helps
How would the following triangle be classified
Answer:
C i think... sorry if im wrong
Step-by-step explanation:
loading Shmoop
2.
Will measures the mass of several objects using a balance that is able to measure objects to the nearest ten-thousandth of a gram. His measurements are shown in the table below.
What is the BEST approximation of the mean mass, in grams, of the objects?
F
4.69
G
4.687
H
4.6872
J
4.68718
K
4.687175
Answer:
hi can you help me with shmoop i need help
(n − m)to the power of 2 for m = −3 and n = 7.
Answer:
100
Step-by-step explanation:
(n-m) = (7+3)
7+3 = 10
10 x 10 = 100
The density of gold is 19.3 g/cm?
A gold bar has volume 150 cm
Work out the mass of the gold bar.
Answer:
2895 grams
Step-by-step explanation:
Use the density formula, d = m/v, where m is the mass and v is the volume.
Plug in the density and volume into the formula, and solve for m:
d = m/v
19.3 = m/150
Multiply each side by 150:
2895 = m
So, the mass is 2895 grams
I need help with this
Answer:
No
Step-by-step explanation:
-10 is not greater than 9. A number that is more positive is more greater.
Answer:
No
Step-by-step explanation:
-10 < 9 according to the number line
Determine the quadrant in which the terminal side of the given angle lies. 230°
Answer:
The quadrant for angle 230 is quadrant 3
Step-by-step explanation:
quadrant 3
help.
Solve 4/y = 2/11.
The solution is y=__ ?
Answer:
See below.
Step-by-step explanation:
4/2=2
2*11=22
y=22
-hope it helps
Answer:
22
Step-by-step explanation:
4/22 is equivalent to 2/11 because 2/11 is 5 and a half times 2. So the second one has to be 5 and a half times 4. So the answer is 4/22.
find 1+1+1in binary number system of computer
Answer:
1
+1
+1
soln
here
1+1+1
=10+1
=11
Answer:
[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]
1+1=10
10+1=11
11 is answer.
HELP
and hurry please
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