Answer:
sin(A+B) = 297/425
Step-by-step explanation:
This problem involves a couple of Pythagorean triples, and the trig identity for the sine of the sum of angles.
The Pythagorean triples involved are {8, 15, 17} and {7, 24, 25}. These tell us the other trig functions of the given angles:
sin(A) = 8/17 ⇔ cos(A) = 15/17
cos(B) = 24/25 ⇔ sin(B) = 7/25
The trig identity we're using is ...
sin(A+B) = sin(A)cos(B) +cos(A)sin(B)
sin(A+B) = (8/17)(24/25) +(15/17)(7/25)
[tex]\sin(A+B)=\dfrac{8\cdot24+15\cdot 7}{17\cdot25}\\\\\boxed{\sin(A+B)=\dfrac{297}{425}}[/tex]
_____
Check
A = arcsin(8/17) ≈ 28.072°
B = arccos(24/25) ≈ 16.260°
sin(A+B) = sin(44.332°) ≈ 0.6988235
sin(A+B) = 297/425
Feliz and Mary spent 5 hours over the weekend building 2 model planes. They spent an equal amount of time building the model planes. How long did it take them ti build each plane?
Answer:
They spent 2hrs and 30min
Step-by-step explanation:
If you cut 5 in half you get 2.5
60 cut in half equals 30
In other words... 2.5 = 2hrs and 30min
Solve the equation using square roots
3x^2+22=49
PLEASE HELP QUICK!
Determine cos(F) and cos(E).
Answer:
B. cos F = 9/41, cos E = 40/41
Step-by-step explanation:
use SOH CAH TOA
cosine is CAH which is adjacent over hypotenuse
the adjacent side to F is 9 and the hypotenuse is 41 so 9/41
the adjacent side to E is 40 and the hypotenuse is 41 so 40/41
hope this helped! :)
(q+4)(9q+5)=0 solve for q
Answer:
q = -4
q = -5/9
Step-by-step explanation:
Hi!
To solve this question, we can use the zero product property.
The zero product property states that if one factor is equal to 0, then the whol equation is equal to 0.
We have (q+4)(9q +5) = 0
That means either q + 4 = 0, or 9q + 5 = 0.
Solve:
q + 4 = 0q = -49q + 5 = 09q = -5q = -5/9We can check both cases:
(-4 + 4)(-36 + 5) = 0
0(-31) = 0
0 = 0
(-9/5 + 4)(9(-5/9) + 5) = 0
(2.2)(-5 + 5) = 0
(2.2)0 = 0
0 = 0
What is the ordered pair for letter R in the image to the left? A (5, 1) B.) (1,5) C. (5,0) D. (0,5)
Answer:
Your answer would be D. (0,5)
Step-by-step explanation:
y−21<85. Graph the solution.
Answer:
y < 106
Step-by-step explanation:
Step 1: Add 21 to both sides.
[tex]y-21+21 < 85+21[/tex] [tex]y < 106[/tex]Therefore, the solution is y < 106.
To graph it on a graph:
circle 106 on the graph- DO NOT FILL IN THE CIRCLEpoint the arrow to the left directionFind the slope of the line m=
Answer:
See below.
Step-by-step explanation:
(-3,-2),(1,-2)
-2-(-2)/1-(-3)
-2+2/1+3
0/4
The slope is 0.
-hope it helps
Answers
A.) 5.9
B.) 7.3
C.8.1
D. 5.8
Answer:
The choice A) 5.9
Step-by-step explanation:
[tex] \sin(36) = \frac{x}{10} \\ \\ 0.587785 = \frac{x}{10} \\ \\ x = 10 \times 0.587785 \\ \\ x = 5.87785 \\ \\ x = 5.9[/tex]
If six chocolate bars cost £3. 80 how much is for 5
Answer:
5 chocolate bars cost 3.15 (i don't have that currency symbol on my keyboard)
Step-by-step explanation:
First, let's find out what one costs, so it'll be easier.
3.80/6=0.63
Multiply the amount for one chocolate bar by five:
0.63*5=3.15
And there you go! 5 bars cost 3.15
I hope this helped!
Answer:
£4.56
Step-by-step explanation:
5 chocolate bars= £3.80
1 chocolate bar= £3.80 / 5 = £0.76
Therefore, 6 chocolate bars= £0.76 x 6 = £4.56
Hailey drew this diagram to represent the equation `2x+16=50`, but she made a mistake.
What equation does Hailey’s tape diagram represent?
Answer:
x+18=50
Step-by-step explanation:
2+16+x=50 and simplify
Hailey's diagram represents 2 + x + 16 = 50.
When there are individual boxes as such, it typically means that you will combining, or adding them all together.
For it to be correct, 2x should be together as stated in the given equation:
50
[ 2x ][16]
Please help me please
Answer:
Step-by-step explanation:
m=(y2-y1)/(x2-x1),
the sum of two numbers is 18.two times the first number subtracted by the second number is equal to 15.find the two numbers
Write and solve an equation to answer the question. What number is 16% of 80?
Answer:
12.8
Step-by-step explanation:
(16*80)/100
the original price of the dress is 350.00. it is on sale for 30% off. which the following is the new price of the dress. a.105 b.245. c380 d.455
find the area of each circle, to the nearest tenth.
r =6.3
If the result of a division problem is written as x^3 + 2x^2 + 3x - 4 = (x^2 + 3x + 6) (x - 1) + 2, Identify the dividend, quotient, divisor, and remainder.
Answer:
step by step ✌️
Need help solving this problem
Answer:41°
Step-by-step explanation:
Solve for the value of r.
180= (6r-4) +94
Answer:
r=15
Step-by-step explanation:
180= 6r-4+94
180 = 6r+90
180-90 = 6r
90=6r
r=90/6
r=15
Answer:
r=15
180= 6r-4+94
180 = 6r+90
180-90 = 6r
90=6r
r=90/6
r=15
Step-by-step explanation:
Brainleist
what is the value of this expresion?
10+8÷2
Answer:
14
Step-by-step explanation:
Use order of operations: divide before adding
10 + 8 ÷ 2
10 + 4 = 14
Answer:
14
Step-by-step explanation:
10 + 8 ÷ 2 =
10 + 414the value of expressions is 14
I NEED HELP, PLEASE?
A) CD is an altitude of ΔABC
B) AE is a median of ΔABC
C) AD is an altitude of ΔABC
D) AD is an median of ΔABC
Answer:
option B and Option C are correct since
AE divides BC into 2 equal parts so AE is Median of ∆ABC
AD makes a 90° Angle with BC Therefore AD is Altitude.
A football field measures 300 feet in length. It can also be expressed as approximately 5. 7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3.
The most reasonable value of n n = -2.
We have given that the length of the football field = 300 feet
It can also be expressed as approximately [tex]5.7\times 10^{n}miles[/tex]
What is the value of one mile in feet?Also, 1 mile = 5280 feet....(1)
We have to find 1 feet so divide both side of equation (1)by by 5280 we get,
[tex]1feet=\frac{1}{5280}[/tex]
Now, for 300 feet is,
[tex]300feet=\frac{1}{5280}(300)[/tex]
[tex]300 feet=0.056818181=0.057miles[/tex]
In scientific notation we have,
[tex]300 feet=5.7\times 10^{-2}miles[/tex]
Therefore we get n = -2.
To learn more about the value of power of 10 visit:
https://brainly.com/question/2193418
WOW I am in 4ht grade and you dont even know what 19 + 32 = 51
Answer:
it's 4th ok ok okokok okokokok
Tracy placed a order for 5/6 of a sack of brown rice 1/6 of a sack white rice. How much more brown rice did Tracy order?
Answer:
4/6 = 2/3
Step-by-step explanation:
I know this because she ordered 5/6 of a sack of brown rice and 1/6 of a sack of white rice. Then, I did 5/6 - 1/6 = 4/6, which is also equal to 2/3.
You ran 3.4 miles. Your penpal from Germany ran 5 km. Who ran the greater distance? (1 mile = 1.61 km)
You
Your friend
PLS HURRY
Answer:
You ran a farther distance.
Step-by-step explanation:
First we will have to convert the 3.4 miles to km.
3.4x1.61=5.474 km
5.474 is greater than 5 km.
Therefore, you ran a farther distance.
Kabita has two bags. In the first bag there are 5 blue discs and 3 red discs. In the second bag there are 7 blue discs and 4 red discs. Kabita takes at random a disc from the first bag. She then takes at random a disc from the second bag
Work out the probability that kABITA takes 2 red discs
The probability that Kabita would take 2 red discs from the bags is 3/22.
What is probability?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability that Kabita would take 2 red discs = (number of red discs in bag 1 / total number of discs in bag 1) x (number of red discs in bag 2 / total number of discs in bag 2)
(3/8) x (4/11) = 3/22
To learn more about probability, please check: https://brainly.com/question/26321175
What is the slope of a line perpendicular to the line whose equation is 3x+y=83x+y=8. Fully simplify your answer
Answer:
(−13)
Step-by-step explanation:
all lines perpendicular to it have a slope of
(
−
1
m
)
3
x
−
y
=
8
can be written as
XXXX
y
=
3
x
−
8
which is the slope intercept form, with a slope of
3
Any line perpendicular to
3
x
−
y
=
8
will have a slope of
(
−
1
3
)
guys please help...........................................................................
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given two parallel lines and two lines intersecte each other and act as a transverse Due to the intersection between two parallel and two traverse lines a triangle is formed. The measurements of the given triangle are 60° , 20° and C To Find :-We have to find the values of angles A, B and C Let's Begin :-Here, we have
1 triangle whose measures are 60° , 20° and CTherefore,By using Angle sum property
ASP states that the sum of all angles of triangles are equal to 180°That,
[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]
Subsitute the required values,
[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]
[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]
[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]
[tex]\sf{ C = 100}{\degree}[/tex]
Thus, The value of C is 180°
Now,We have to find the measurement of Angles A and B
Here,
Angle B , unknown angle and Angle C lie on a straight line and we know that the angle formed by straight line is 180°Let the unknown angle be x which is equal to 20° ( Alternative interior angles) Therefore,[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]
[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]
[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]
[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]
[tex]\sf{\angle{ B = 60{\degree}}}[/tex]
Now, A, B and 100° lie on a straight line and we know that the angle formed by straight line is equal to 180°Therefore ,[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]
[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]
[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]
[tex]\sf{\angle{ A = 20{\degree}}}[/tex]
Hence, The measure of Angles A, B and C are 20° , 60° and 100° .
please help! thanks :))
because you shade in everything to the left
With the spinner shown, the theoretical probability of landing on 2 is 0.25 . Which number of spins would most likely result in a relative frequency that is closest to the theoretical probability?
Answer:the question just written out doesnt give a crazy amount of context but i believe the answer is 4 spins
Step-by-step explanation:
Find the surface area of this triangular prism.