Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
Can someone help me
Answer:
9 mi.
Step-by-step explanation:
sorry if i get it wrong ):
Answer:
15/3 equals 5
5 inches
Step-by-step explanation:
If 24 marbles have a mass of 60g what would be the mass of 60 marbles
Answer:
300 g
Step-by-step explanation:
First divide the mass of those 12 marbles (60 g) by the number of marbles which have 60 g mass (12 marbles). You'll get the answer as 5 g , which means 5 g is the mass of 1 marble. Now multiply the answer by 60 (specification of marbles). You'll have the answer as 300 g.
i.e.
60 / 12 = 5
5 x 60 = 300
PLZ HELP WILL MARK BRAINLEST work out both
Answer:
3*6+5= 23
Step-by-step explanation:
1 of 2
Find the length of the shortest side if the area of the rectangle is 144m2
х
x + 10
Answer:
Given,
Length and breadth of the rectangle are (x) and (x+10)
Area of the rectangle ( A ) = 144[tex]m^{2}[/tex]
We know ,
Area of rectangle ( A ) = L*B
or , 144 = x ( x+10 )
or , 144 = [tex]x^{2}[/tex] + 10x
or , [tex]x^{2}[/tex] + 10x - 144 = 0
Solving the equation , we get ,
x = 8 and -18
The side has to be positive so ,
x = 8 m , which is the shortest side !
Step-by-step explanation: We were given the area of the rectangle and length & breadth in expression . By using the formula of area of rectangle , we got the equation which then gave 8 and -18 as answers when solved and since the rectangle had positive sides 8 m was the correct value . Also its the shortest side and the other side is simply ( 8 + 10 ) which is 18 m but the question has only asked for the shortest side !
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
Evaluate the expression when g=7 and h= 5 8h + g
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
Help please!!!!!!!! I need help with this ASAP!
9514 1404 393
Answer:
2.89 m
Step-by-step explanation:
The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.
The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...
Sin = Opposite/Hypotenuse
sin(12°) = (0.6 m)/(PR)
PR = (0.6 m)/sin(12°) ≈ 2.886 m
PR ≈ 2.89 m
The distance to the subject is about 2.89 meters.
Anyone know how to do this I really don’t understand
Answer:
slope of AB = 4
slope of CD = 4
Step-by-step explanation:
We simply use the slope formula for this;
The slope formula is;
m = (y2-y1)/(x2-x1)
for AB, we have;
m = (3+1)/(6-5) = 4
For CD, we have
m = (-1-3)/(1-2) = -4/-1 = 4
3(2+5)−5(3)+8=
Evaluate
Answer:
3(2+5)−5(3)+8=14
Step-by-step explanation:
Write the problem as a mathematical expression.
=>3(2+5)−5⋅3+8
Simplify each term.
=>21−15+8 = 14
Pls help me with this math question. Explain your thinking pls.
Answer:
D.
Step-by-step explanation:
Compared to the others, it looks that steepest
Answer:
D by looking at it, it looks steeper
Step-by-step explanation:
there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n
Answer:
The value of n is 2.
Step-by-step explanation:
The total number of people in the choir = 60
Number of women in the choir = 30
Let the number of men in the choir be represented by x, so that;
Number of women = 3x
So that;
3x = 30
x = [tex]\frac{30}{3}[/tex]
= 10
The number of men in the choir is 10.
the number of children in the choir: the number of men in the choir = n:1
number of children in the choir = 60 - (number of women + number of men)
= 60 - 40
= 20
number of children in the choir = 20
Thus,
the number of children in the choir: the number of men in the choir = 20:10
= 2:1
The value of n is 2.
Answer:
20 men in the choir and 40 children
Step-by-step explanation:
What is the value of the expression below? 5+2(10 + 5)
Matt decided to go out to eat. He ordered a soda for $2.15, some chicken for $8.77 and a slice of cake for $4.10. What would his entire bill be if he tipped his waiter 18%?
Answer: $ 17.72
Step-by-step explanation:
Cost of soda = $2.15 , Cost of chicken = $8.77 , Cost of slice of cake = $4.10.
Total bill amount = (Cost of soda ) + (Cost of chicken) +(Cost of slice of cake)
= $ (2.15 + 8.77 +4.10)
= $ 15.02
Tip amount = 18% of Total bill amount
= 0.18 (15.02)
= $ 2.7036 ≈ $2.70
Entire bill = Total bill amount + Tip amount
= $ ( 15.02+2.70)
= $ 17.72
Hence, entire bill = $ 17.72
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
WILL MARK BRAINLIEST!!! Solve the inequality - 3/4x + 6 > -3. x -2 x 12
Answer:
All real numbers
Step-by-step explanation:
Answer:
-3÷4x+6>-3×-2×12
-3÷4x+6>6×12
-3÷4x+6>72
-3÷4x+6-6>72-6
-3÷4x>66
-3÷4x×4x<66×4x
-3<264x
-3÷264<264x÷4
-0.01 (rounded)<x
Plzzzzz give me Brainliest!!!!!
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
Which is not a representation of the equation y = 0.5x - 2?
Select one: just look at the picture.
Answer:
D is incorrect so ur answer is D
Which equation is equivalent to 8x + 2y = 10?
Answer:
y=-4x+5
Step-by-step explanation:
8x+2y=10
2y=10-8x
divide by 2
y=5-4x
y=-4x+5
Can you please help with both? :)
Answer: 1. 12 2. 120
Step-by-step explanation:
1. so basically 9/6=18/x
since they are similir the'd have the same ratio
sooo you just solve for x (multiply 6 by 18, and then divide by 9) and you get 12
2. same thing except you put 6/10=12/x, and solve it (multiply 10 by 12 and divide by 6) and u get 20
dats how i would do it but there are other ways too im sure :)
hope this helps
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
0.75(8+e)=2-1.25e
Solve for e please
Answer:
12 1314
Step-by-step explanation:
i guess this should be the abswer
Answer: e = -2
Step-by-step explanation:
first, i removed the parentheses.
6 + 0.75e = 2 - 1.25e
then, i moved the terms.
0.75 e + 1.25e = 2 - 6
next, i collected the like terms and calculated them.
2e = -4
finally, i divided both sides.
e = -2
lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees
1. An airplane flies a distance of 3000 miles in 6 hours. How tast is it going? Hint: Uses=d/t. Show our work.
2. A skydiver opens her parachute and is dropping toward the ground at a constant speed of 0.3 m/s. If she is currently 200 meters above the ground, how long will it be before she lands on the ground? Hint: Use t = d/s. Show your work.
3. A snail crawls over the ground at 1 meter per hour. How far will the slug move in 6 minutes. Hint: Use d = s x t after you convert 6 minutes into hours. Show your work.
4. A race car accelerates from 0 to 30 mi/he (44 ft / sec) in 4 seconds. What is it's acceleration in ft /sec²? Hint: Use a = v / t.
5. A fighter jet is flying along and the pilot wants to go faster. He pushes the throttle so the jet engine is producing full power. The jet accelerates at a rate of 20 m/s² for 10 seconds. How much does the jet increase it's velocity? Hint: Use v = a x t. Show your work.
6. If the jet in question 5 above was traveling at 1000 m/s before it accelerated, how fast was it going after it accelerated for 10 seconds? Show your work.
7. A boy drops a ball. The ball accelerates at 9.8 m/s². How long does it take for the ball to reach a velocu if 1 m/s? Hint: Use t = v / a. Show your work including units.
Answer:
Step-by-step explanation:
what the hell is this
Answer:
it should be that
Step-by-step explanation:
EQUATION GIVES YOU IF YOU KNOW
v=d/t Speed Distance time
d = v x t Distance Speed and time
t = d/v Time Distance and speed
Can anybody help me with this one
9514 1404 393
Answer:
A(-8, 6), D(-1, -16), E(17, -3)
Step-by-step explanation:
Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)
Those points are ...
(-8, 6), (-1, -16), (17, -3)
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
answer the following table:)
GIVING BRAINLIEST!! Please answer.
if x ∆ y means x/y - x^2, then the value of 2/3 ∆ 4/5 is,
a)7/18 b)14/25 c)4/45 d)34/45 e)29/150
Answer:
a) 7/18
I hope this helps!
Please Help! Freshman in high-school Algerbra 1
Answer:
yes
Step-by-step explanation:
0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof
5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
vines in your garden. You estimate the area covered by the fungus and find that the patches
cover about 1 cm2 Suppose that the leaf area covered by this kind of fungus quadruples (4x)
every day.
Answer:
Step-by-step explanation:
it xhkr pls