A 10 -foot ladder is leaning against a building. The base of the ladder is 3 feet from the side of the building. How high does the ladder reach along the side of the building? Answer exactly or round to 2 decimal places.
Answer:
The ladder is 5.20 feet tall on the side of the building
Step-by-step explanation:
Here, we simply want to calculate the height the ladder is from the base of the building
To get this, we need a pictorial representation of what we have here.
From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet
We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building
Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be x
So;
x^2 + 3^2 = 6^2
x^2 = 6^2 - 3^2
x^2 = 36 - 9
x^2 = 27
x = √27
x = 5.196 feet
which to two decimal places is 5.20 feet
e) x⁴ - 3x²y² + 9y²
Answer:
x
4
+9y
2
u
200
b−3x
2
y
2
Step-by-step explanation:
completely factor 1-100x^2
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b2 = ( a + b ) (a − b ) where a= 1 and b = 10 x . ( 1 + 10 x ( 1 − 10 x )
Step-by-step explanation:
A total of 625 tickets were sold for the school play. They were either adult tickets or student tickets. There were 75 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
75 less student tickets than adult tickets. The total is 625 tickets. So the student and adult tickets have to equal 625 when added.
Step-by-step explanation:
Student tickets: 275
Adult tickets: 350
Find the
n
th
term of the sequence that starts with 31, 35, 39, 43
Answer:
Step-by-step explanation:
This is a sequence of adding 4
So the next number is 47 51
plz help, need this by end of tdy
Answer:a 120 and b:60
Step-by-step explanation: mark brainlilest
The value of varies directly with x. when y = 7.5 , x = 5. what is the value of y when x = 80?
Answer:
x=120
[tex]7.5 = 5 \\ x = 80 \\ \frac{5x}{5} = \frac{600}{5} \\ x = 120[/tex]
Pleaseee Helpppp Meee question number 7 Plsssss
Answer:
:D
Step-by-step explanation:
1. reflect ABC across the y-axis
2. translate ABC two units down
Chris labels every lattice point in the coordinate plane with the square of the distance from the point to the origin (a lattice point is a point such that both of its coordinates are integers). How many times does he label a point with the number $25$?
Answer:
4 times
Step-by-step explanation:
A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times
i.e. (55),(-5,5),(5,-5),(-5,-5)
Jesus u guys are slow so first to answer will get brainliest
Answer:
heyyyyyyyyyyyyyyyyyy.
what do you mean brainliest
Solve the system using substitution. Check your solution.
5x - y = 78
2y
= X
The solution is
(Simplify your answer. Type an integer or a simplified fraction. Type an ordered pair.)
Write the equation of the line that passes through the points (2,-6) and (6,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answ
Step-by-step explanation:
Two point slope =-(-6+6)/(6-2) =0
Equation is y+6 = 0(x-2)
y+6=0
y=-6
The point is -6 at y axis which is a horizontal line.
Write an equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2
Answer:
y-1=2(x-2)
Step-by-step explanation:
Since the slope is 2, that number is multiplied by x. Then the y subtracts the x value point and the x subtracts the y.
An equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2 is y=2x-3.
Given that, the coordinate point is (2, 1) and slope m = 2.
What is an equation in point-slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The standard form of the slope intercept form is y=mx+b.
Put (x, y) = (2, 1) and m = 2 in y=mx+b and solve for b.
That is, 1=2(2)+b
⇒ b = -3
Now, substitute m = 2 and b = - 3.
So, y=2x-3
Therefore, an equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2 is y=2x-3.
To learn more about the slope intercept form visit:
https://brainly.com/question/9682526.
#SPJ2
Is this congruent by SSS, SAS, AAS, ASA? :)))))))
Answer:
i believe it is sss because the third s is the reflective property.
Step-by-step explanation
what is a number that has the same value as 12.9
Answer:
-12.9
Step-by-step explanation:
9. Find the volume of a sphere with a diameter of 4 m, both in terms of A and as a decimal. Use 3.14 for .
Round your answers to the nearest tenth.
Answer: V≈33.51m³
Step-by-step explanation:
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?
Answer:
319.68
Step-by-step explanation:
you multyply 11.52 per each hour and then add everything up
Wish this helped you
A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
please help god bless you
Answer:
one u selected i think
it maybe not correct
Step-by-step explanation:
i bless u too
squares q,r,t form a right triangle with dimensions as shown in the diagram. what is the area of square Q
Answer:
The area of square Q is 441 m² ⇒ C
Step-by-step explanation:
Let us use the right triangle to find the side of square Q
∵ The length of the side of square T = 29 m
∴ The length of the hypotenuse of the right triangle = 29 m
∵ The length of the side of square R = 20 m
∴ The length of leg1 of the right triangle = 20 m
∵ (leg1)² + (leg2)² = (hypotenuse)² ⇒ Pyathagoras Theorm
∴ (20)² + (leg2)² = (29)²
∴ 400 + (leg2)² = 841
→ Subtract 400 from both sides
∴ (leg2)² = 441
→ Take √ for both sides
∴ leg2 = 21
∵ Leg2 is the side of the square Q
∴ The length of the side of square Q = 21 m
∵ Area of the square = side × side
∴ Area of square Q = 21 × 21
∴ Area of square Q = 441 m²
∴ The area of square Q is 441 m²
Ciara downloaded 264 pictures from her cell phone to her computer. These pictures took up 528 MB of space on her computer. Each picture took up the same amount of space. How many megabytes do 35 of these pictures take up
Answer:
70 check the explanation to understand the answer
Step-by-step explanation:
528:264=2
35*2=70
18- 8x = 8 + 3(1 - 3x)
Work shown please!
Answer
7 = -x
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
18- 8x = 8 +3-9x
18- 8x = 11 - 9x
7- 8x = -9x
7 = -x
Answer:
x=-7
Step-by-step explanation:
step by step in picture.
Will mark brainliest to who shows how they now
Answer:
3
Step-by-step explanation:
8ab / 2bc
8(3)(1/2) / 2(1/2)(4)
24(1/2) / 1(4)
12 / 4
3
Answer:
3
Step-by-step explanation:
which fraction is larger 2/3 or 3/4 and find the common denominator
Answer:
3/4
Step-by-step explanation:
2/3=8/12
3/4=9/12
Common denominator: 12
larger fraction: 3/4
PLS GIVE BRAINLIEST
6 + p <4 solve and graph
Answer:
harjot sinfh answer hai bro is
Answer:
P2 + 2P - 24
Step-by-step explanation:
As the x values increase, the y values decrease
Answer:
1. That means as the X value decreases the y value increase
2. That means it's a negative Line.
3. The slope is negative
Step-by-step explanation:
answer the question below∵
Answer:
should be -8
Step-by-step explanation:
Answer: t = 7-15 = -8
Step-by-step explanation:
What is the slope? (4,3) (-2,-4) *
Using slope formula
m = (y2 -- y1) / (x2 -- x1)
m= slope
Plug in values, for x1 if you use 4 you must then for x2 use -2 but if you use -2 for x1 you must use 4 for x1, simply, if you go left to right, you cant go right to left on the next one.
m = (3 --4) / (4 --2)
m= 7 / 6
Find the exact value of tan A in simplest radical form.
Please help!!!!!!
Please answer fast!
The gallons of way used to take a shower varies directly with the number of minutes in the shower .If a 6 minute shower uses 36 gallons of water, find the constant of variation
Answer:
constant of variation (k) = 6
Step-by-step explanation:
Let us first represent the sentence in direct variation expression:
"the gallons of water used to take a shower varies directly with the number of minutes in the shower"
Let the gallons of water used = g
Let the number of minutes spent in the shower = m
g ∝ m
where: ∝ = sign of proportionality
This means that as g increases, m increases also, and the same holds for decrease too.
g ∝ m
g = km
where k = constant of variation ( or proportionality constant)
Next, If a 6-minute shower uses 36 gallons of water, find the constant of variation
g = 36 gallons
m = 6 minutes
∴ g = km
= 36 = k × 6
k = 36 ÷ 6 = 6
k = 6