Answer:
Y = 13
Step-by-step explanation:
You can use the sine rule to solve this. The sine rule states that:
Sin(a) / A = Sin(b) / B = Sin(c) = C
In other words the sine of the angle in any corner in a triangle, divided by the length of the opposite side, will be equal to that of the other two sides as well.
In this case, we can take the ratio between the sine of the right angle, and each of our hypotenuses, and state them as equal, giving us the solution:
sin(90) / (5y + 13) = sin(90) / 6y
1 / (5y + 13) = 1 / 6y
5y + 13 = 6y
6y - 5y = 13
y = 13
PLEASE HELP!!!!!!
Find the next 3 terms in this pattern: 18, -6, 2, ___, ___, ___.
Answer: -0.67, 0.22, -0.074
Step-by-step explanation:
This is a geometric sequence because it has a common ratio. The common ratio is divide by -3.
18 / -6 = -3
-6 / 2 = -3
Therefore, we'd continue that ratio.
2 / -3 = -0.67
-0.67 / -3 = 0.22
0.22 / -3 = -0.074
It may ask you to write that in fraction form^^
In that case, 2/-3, then 2/-3 / -3, etc etc. :)
Divide by -3
______________
Hope this helps :)
-Lexi
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree,
Answer:
10 degree Celsius
Step-by-step explanation:
The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?
Answer:
3 teams and 29students in each team.
let, the team be x,y,&z
given all the team r equal so, x=y=z
x+y+z=87
3x=87
x=87/3
x=29
we get, x=y=z=29
hope it helps.
Find the unknown value: x + 9 = 16 * 6 5 7
Answer:
X=10,503
Step-by-step explanation:
x+9=16×657
X+9=10,512
X=10,512-9
X=10,503
If you place a 37-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
The building will be making 90° with the ground/horizontal.
Then we can apply Pythagoras theorem.
(Base)² + (Height)² = (Hypotenuse)²
=> x² + (12 foot)² = (37 foot)²
=> x² = (37 foot)² - (12 foot)²
We can expand LHS using a² - b² = (a + b)(a - b)
=> x² = (37 + 12 foot)(37 - 12 foot)
=> x² = 49 * 25 foot²
=> x² = (7 * 5)² foot²
=> x = 7 * 5 foot
=> x = 35 foot.
Calculate the approximate distance point A (5,3, -2) and point B (2, -4, 8) are from the origin. Round to the
nearest tenth.
How much farther from the origin is point B than point A?
3.0 units
3.7 units
4.7 units
O 5.7 units
Answer:
3.0 units
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Origin:
The origin is given by point (0,0,0).
Distance of point B to the origin:
Since the origin is all 0, just put the points into the square root.
[tex]D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2[/tex]
9.2 units.
Distance of point A to the origin:
[tex]D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1[/tex]
How much farther from the origin is point B than point A?
9.2 - 6.1 = 3.1 units
So approximately 3 units.
Answer:
a
Step-by-step explanation:
What is the current value for a future sum of money called?
A. Current value
B. Present value
C. Future value
A furniture company currently produces 6800 chairs per month. If production decreases 7%, find the amount of the decrease and the new number of chairs produced each month.
Answer:
7% production decreases of 6800 means you lost 476 chair a month and you would only produce 6324 chair per montg
What are the errors hggtdgdd
the decimal is supposed to be in between the 7 and 5 not the 5 and 6. so like this * 7.56*
Solve the system of equations.
8x + 16y = -42
- 2x + 3y = 7
A. (-4,1)
B. (0.5, -2.69)
C. (4.3, 0.5)
D. (-4.25, -0.5)
Jerry pick 16 red apples. He picked 27 green apples. How many apples did Jerry pick? Label the model. Write a number sentence with an for the missing number Solve
Answer:
48 ksjsnsjsnwwisns sisnwbsisbd
The tables below show the values of Y for different values of X
Answer:
Option D
Step-by-step explanation:
Rate of change of a linear function between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Rate of change 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given table,
Rate of change of the function between (-2, 6) and (-4, 9),
Rate of change 'm' = [tex]\frac{9-6}{-4-(-2)}[/tex]
m = [tex]\frac{3}{-2}[/tex]
Initial value = y-intercept
Let the equation of the line passing through a point (h, k) is,
y - k = m(x - h)
If a point (-2, 6) is lying on the graph of the function,
y - 6 = [tex]-\frac{3}{2}(x+2)[/tex]
y = [tex]-\frac{3}{2}x-3+6[/tex]
y = [tex]-\frac{3}{2}x+3[/tex]
Y-intercept of the function = 3
Therefore, initial value of the function = 3
Option D is the answer.
Can you help me on question 14?!
Answer:
the answer isssssssssssssss b
Answer:
A) 2³
Step-by-step explanation:
2³
2 x 2 x 2 = 8
y
45°
X 100°
y = [ ? 1°
Step-by-step explanation:
x+100°=180°{being straight angle}
x=180-100
x=80°
again,
45°+x+y=180°{sum of angle of triangle}
45+80+y=180
y=180-125°
y=55°
hope it helps.
There were 58 frogs in a pond.f of the frogs hopped away.Choose the expression that shows how many frogs are in the pond.
A. f - 58
B. 58 - f
C. f + 58
D. f
Please help me! How much would you expect gas to cost in 2030. Show your work.
Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:
PLEASE HELP MEH
find the equation the line
use exact numbers
y=___x+____
Any help would be appreciated. Thank you
pls help me for a second
Answer:
do you need Anything else? hope i helped u
Inez types 280 words in 7 minutes if she types of the same rate how many words will she type in 1 hour
Answer: 2,400 words
Step-by-step explanation:
Help me please thank you so much
Answer:
32
Step-by-step explanation:
Multiply the base x height
It will be 8 x 4
And if you multiply it, it should equal to 32 so that means...
The volume of the cylinder is 32.
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
which expressions are equivalent to 2 In a +2In b- In a?
Christa and James both walk from their houses to the bus stop every morning. Christa walks 1.9 kilometers further, and together they walk 4.1 kilometers.
If James walks a distance of d kilometers find the value of d.
Answer:
James walks 2.2 kilometers it is because 4.1-1.9=2.2
Step-by-step explanation:
and to check u can add 2.2 in 1.9 ko get 4.1 so james walked 2.2 distance kilometers from his house.
Answer:
Step-by-step explanation:
d + (d+1.9) = 4.1
2d = 2.2
d = 1.1 km
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
Help plsssjsnsnsnsnndndndndnfnfnfnnffnnccnncncncnfnf
9514 1404 393
Answer:
A) 3x +10y = 36
Step-by-step explanation:
The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...
x-intercept = 36/a
Then the coefficient 'a' is ...
a = 36/(x-intercept) = 36/12 = 3
Only one answer choice has an x-coefficient of 3 -- the correct one.
3x +10y = 36
Which dashed line is an asymptote for the graph
Solve for x. 5a/x = 5b/ x-1
Answer:solve for x 5a/x = 5b/ x-1 - 11261842. ... out the denominators by multiplying both sides by the bottom, you can then factor to find X= a / (a-b).
Step-by-step explanation:
A, B, C, OR D. WILL MARK ANSWER BRAINLIEST.
Answer:
C
Step-by-step explanation:
all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair
y = 1 is a horizontal line which intersects the y-axis at (0, 1)
If q||r, solve for x.
Answer:
x = 17
Step-by-step explanation:
They are alternate exterior angles, so they are congruent. This means that:
[tex]7x - 10 = 9x - 44\\34 = 2x\\x = 17[/tex]
The value of x, if the lines 7x - 10 and 9x - 44 are parallel, is 17.
What is a line?Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.
Given:
The equations of lines are 7x - 10 and 9x - 44,
As we know, the line parallel has the same slope,
The condition of parallel lines ca be written as,
[tex]L_1 / L_2 = 1[/tex]
Here, L₁ and L₂ are equations of lines,
7x - 10 / 9x - 44 = 1
9x - 44 = 7x - 10
9x - 7x = 44 - 10
x = 34 / 2
x = 17
To know more about the line:
https://brainly.com/question/2696693
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