Answer:
Lets mark the unmarked angle as angle A and the base of the building as BC
We can use tan to find this
tan=opposite/adjacent
by knowing the 2 interior angles we can calculate the measure of A sicne the interior angles of any triangle add up to 180
52+90+A=180
142+a=180
38=a
tan(38)=BC/300
300 tan(38)=bc
using a calculator we see that bc=234.385689 or 234meters rounded
Step-by-step explanation:
Help please. I already got most of the problem done.
cant see the pic
Step-by-step explanation:
Answer:
[tex]y\leq \frac{x}{2}-2[/tex]
Step-by-step explanation:
When dividing/multiplying you flip the inequality sign, and the negative on the x and 2 cancel.
Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2
Answer:
Step-by-step explanation:
150-20/2
Write the slope-intercept form of the equation of the line described.
Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given the line
[tex]y=-\frac{1}{3}x+3[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
Thus, the slope of line = -1/3
We know that parallel lines have the same slope.
Hence, the slope of the parallel line is also m=-1/3
So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept
[tex]y=mx+b[/tex]
[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]
Switch sides
[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]
[tex]-1+b=1[/tex]
[tex]b=2[/tex]
Thus, the equation line in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{3}x+2[/tex]
8)
Given the line
[tex]y=\frac{1}{4}x+1[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
so the slope of line = 1/4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: -4
Thus, subtituting m = -4 and (-1, 4) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]
writing the point-slope form in the slope-intercept form
[tex]y-4=-4\left(x+1\right)[/tex]
add 4 to both sides
[tex]y-4+4=-4\left(x+1\right)+4[/tex]
[tex]y=-4x[/tex]
2. Ten is the same as the quotient of n and five increased by six
Answer:
10=n/5+6
Step-by-step explanation:
Does this graph represent a function??
NEED ASAP PLEASEEE
Is this true or false? The following graph represents a proportional relationship:
True
False
Step-by-step explanation:
true I think I hope this helps !!!
Help I will give brainly
Answer:
C.
Step-by-step explanation:
A negative number divided by a negative number is a positve number.
Answer:
c and d
Step-by-step explanation:
Help Plz
Linear equations
Answer:
- So were x is 0 that is your y-intercept.
y-intercept: 5
- For your slope it is alway Rise over Run and if your slope is negative you might go down instead of up. So for this table your slope is a zero slope because it is going directly across the graph horizontally. Think of it as a stick figure, with a positive slope they walk up the line with a negative they walk down and zero they walk strait on flat ground. so therefore there is no slope.
You always have your y-intercept in you equation
y=mx+b mx is slope and b is your y-intercept
since your line is not negative or positive and is horizontal a zero slope meaning there is like no slant or angle to your line your equation will look like this.
y=5
because there is no mx (slope) and only a y-intercept
slope: 0
y-intercept: 5
Equation: y=5
A video games originial price was 55$ it is 30% off. What is the new price?
Answer: $38.50
Step-by-step explanation: Find 70% of $55.
Answer:
38.5
Step-by-step explanation:
SO U FIND 10% WHICH IS =5.5
THEN U TIMES IS BY 3 AND ITS =16.5
THEN YOU MINUS 55 BY 16.5
AND THAT IS =38.5
Juan buys a bag of 12 tangerines for $3.48.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answer:
0.29
Step-by-step explanation:
12 divide by $3.48 is 0.29
Write the equation of the line passing through the point (2,-1) with a slope of -3
Can someone explain this to me?
Answer:
Step-by-step explanation:
a). By applying tangent rule in the triangle,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]
θ = 36.87°
Therefore, θ < 45°
b). By using cosine rule in this triangle,
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}[/tex]
cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
θ = 45°
c). By using tangent rule,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}[/tex]
θ = [tex]\text{tan}^{-1}(4)[/tex]
θ = 75.96°
θ > 45°
A student estimated the temperature of the room to be 24°C. After carefully measuring, he found the actual temperature to be 23.5°C. What is the percent of error?
Answer:
2.13% (rounded to nearest thousandth)
Step-by-step explanation:
You subtract 24 from 23.5 to get 0.5
Then you divide 0.5 by 23.5 to get 0.02127
Then you multiply that by 100 to get your percent error
Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off
At Mukilteo Elementary school The two fastest runners in the 100 yard dash had race times of 12.19 seconds and 12.38 seconds how much faster was the first runner from the second runner
4 – 5[-32 – (4 : 23 – 80 + V16)
Simplify
The sum of 2 times a number and 8 equals 3.
Solve
.
.
.
6/14=7/x-3
Answer: x
=
19
1
3
Step-by-step explanation:
6
14
=
7
x
−
3
Rewrite the equation as
7
x
−
3
=
6
14
.
7
x
−
3
=
6
14
Cancel the common factor of
6
and
14
.
Tap for more steps...
7
x
−
3
=
3
7
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7
⋅
7
=
(
x
−
3
)
⋅
3
Solve the equation for
x
.
Tap for more steps...
x
=
58
3
The result can be shown in multiple forms.
Exact Form:
x
=
58
3
Decimal Form:
x
=
19.
¯
3
Mixed Number Form:
x
=
19
1
3
A rescuer is trying to save a cat at the very top of a tree. The height of the tree is 35 feet. A rope is thrown to the top of the tree at a 25° angle from a tether on the ground.
1. Draw a diagram to model the problem.
2. What is the length of the rope needed to meet the tree? Show all work and label the answer. Round to the nearest tenth, if needed.
[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(25) = \frac{35}{b} [/tex]
[tex](b) \sin(25) = \frac{35}{b}(b)[/tex]
[tex](b) \sin(25) = 35[/tex]
[tex] \frac{(b) \sin(25) }{ \sin(25) } = \frac{35}{ \sin(25) } [/tex]
[tex]b = \frac{35}{ \sin(25) } [/tex]
[tex]b = 82.8[/tex]
the length of the rope needs to be around 82.8
I need the ordered pair plz
Answer:
[tex](\frac{-1}{2},-1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-6, 5)
Point (5, -7)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{-6+5}{2},\frac{5-7}{2})[/tex]Add/Subtract: [tex](\frac{-1}{2},\frac{-2}{2})[/tex]Divide: [tex](\frac{-1}{2},-1)[/tex]
A couple of travelers are buying souvenirs at the gift shop in Istanbul, Turkey. Jake buys a
keychain for $7.65 and 5 pounds of Turkish delights. Tina buys postcards for $2.45 and 4
pounds of Turkish delights for her mom. Use the variable p to represent the price, in dollars,
per pound of cherries. Write and simplify an expression to represent how much more Jackson
spent.
Answer:
The answer is below
Step-by-step explanation:
Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:
money spent by Jake = 7.65 + 5p
The money spent by Tina who bought 4 pounds of Turkish delight is:
Money spent by Tina = 2.45 + 4p
The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p
which graph represents the solution set of 2x-5<3
Answer:
(See the attachment)
Step-by-step explanation:
None
what did he do wrong
Answer:
nothing
Step-by-step explanation:
there was no mistake at all he did it all correct he subtract 11 from both sides the divided by 2 correctly.
Chris and Nick want to split an 8-scoop ice cream sundae. The
sundae costs $15.75. They each earned $6.50 for weeding the
garden for their mom. How much more money do they need to buy
this sundae?
Answer:
9.25
Step-by-step explanation:
15.75 minus 6.50 then you get 9.25
8-b; when a= 3 and b=5
Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5
Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
[tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]
The determinant
[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]
By using Cramer's Rule
Δ₁ = [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
x - 2y = -7
5x - 9y = -5
[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]
PLSS HELPPPP
Reggie recorded how longRandomly selected her to walk 1 mile. He recorded the data in the dot plot below. If 126 students were selected, how many students would Reggie predict would take more than 18 minutes to walk 1 mile.
Answer:
48
Step-by-step explanation:
If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.
complete the table for
f(x) =x^2-2
Answer:
2,-1,-2,-1
Step-by-step explanation:
You just replace x with the given numbers
Evaluate 4 - (3 + 2)2
O A. 5
O B. 1
C. -21
O D. -9
Answer:
-6
Step-by-step explanation:
4−(3+2)2
Add 3 and 2 to get 5.
4−5×2
Multiply 5 and 2 to get 10.
4−10
Subtract 10 from 4 to get −6.
−6
What value for x will make the equation − 3 x + 1 = 2 ( 4 x − 5 ) true?
Answer:
x=1
Step-by-step explanation:
_3× +1=2(4×_5)
_3×+1=8×_10
-3×_8×=_10-1
11×=_11
=1
A homeowner is making plans to landscape her yard. She plans to hire professionals to install grass sod in some parts of the yard and flower beds in other parts. Grass sod installation costs $2 per square foot and flower bed installation costs $12 per square foot. Her budget for the project is $3,000. Write an equation that represents the square feet of grass sod, x, and the square feet of flower beds, y, that she could afford if she used her entire budget.
Answer: 2x+12y<3000
Step-by-step explanation:
x intercept: (1,500,0)
y intercept: (0,250)
The linear equation that represents the total cost will be 2x + 12y = 3000.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A mortgage holder is making arrangements to scene her yard. She intends to recruit experts to introduce grass turf in certain pieces of the yard and blossom beds in different parts. Grass turf establishment costs $2 per square foot and blossom bed establishment costs $12 per square foot. Her spending plan for the venture is $3,000.
Let 'x' be the square feet of grass sod and 'y' be the square feet of flower beds. Then the total cost is given as,
2x + 12y = 3000
The linear equation that represents the total cost will be 2x + 12y = 3000.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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