Answer:
210 km
Step-by-step explanation:
A ladder that is 13 feet long leans against a building .The bottom of the ladder is 5 feeet away from the base of the building .how far up the side of the building does the ladder reach?
Length of the ladder = 13 m
Foot of the ladder from the wall = 5 m.
The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.
In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.
In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.
In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.
So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.
Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m
wall ^ 2 + ground ^ 2 = 13^2 = 169
w^2 + g^2 = 169
w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12
Rate of change of ground distance = dg / dt = 2m/s (given).
In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.
2 w dw/dt + 2 g dg/dt = 0
2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0
dw/dt = -20 / 24 = -5 / 6
Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)
The minus sign denotes that the height of the ladder is falling.
Step-by-step explanation:
I really need help with this question
Answer:
32
Step-by-step explanation:
180-116=64
64÷2=32
What is the value of x³ + y³ when x= 3 and y=4?
What are the possible values of x if (4x - 5)^2=49? Check all that apply.a-4/5
B-1/2
C3
D5
E7
Answer:
e i think
Step-by-step explanation:
You are hiring counselors for a summer camp. For every 30 campers, you need 4 counselors. You expect to have 180 campers. How many counselors should you hire? (Show your work.) Solve using a double number line.
How many counselors do you need to hire for 90 campers?
How many counselors do you need to hire for 60 campers?
Complete the double number line diagram that represents the situation
b.
a.
c.
d.
Answer: 60 campers = 8 counselors
90 campers = 12 counselors
180 campers = 24 counselors
Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers
The diameter of the circle shown below is 12 m. What is the area of the circle?
Answer:
36pi meters squared
Step-by-step explanation:
The area of a square is calculated using the formula "pi(r)^2" To find the radius (r), we divide the diameter by 2 (12/2=6). We know that the radius is six and 6^2 = 36. The last step is to multiply by pi.
Write the expression as a polynomial in standard form
5x+4x^2(2x+7)-6x^2-9x
Answer:
8x^3 + 22x^2 - 4x
g divided by 3/4 = 1 1/2
Answer:
g = 1 1/8
Step-by-step explanation:
g/(3/4) = 1 1/2
g = 1 1/2(3/4) = 1 1/8
12. Given the equation y = 2x + 4, what would the value of y be when x = 1?
A. 7
B. 1
C. 5
D. 6
Answer:
D 6
Step-by-step explanation:
substitute in 1 for x
2(1)= 2
2+4= 6
y=6 when x=1
Answer:
C
Step-by-step explanation:
compare |-0.658| and |-0.653|
Answer:
|−0.658| < |−0.653|.
Step-by-step explanation:
Right triangle ABC is shown below.
A similar right triangle would be created by a rise of 8 and a run of
Answer:
a run of 6
Explanation:
AB=4 , AC=3
If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6
Easy but not for me. Help needed
Which of the following graphs the equation
y = 1/5x + 1
welp i cant help but i can sing ;-;
Step-by-step explanation:
5 yd
6 yd
10 yd
2
?
13 yd
Answer:
5yd= 15 ft
6yd= 18ft
10 yd= 30 ft
2yd=6ft
13yd=39ft
Step-by-step explanation:
Find the circumference of a circle with a diameter of 13 meters. Use 3.14 as an approximation for 8. Round your answer to the
nearest whole meter. Enter only the number.
The solution is
Answer:
Step-by-step explanation:
Diameter d = 13 meters
Circumference = πd = 3.14 × 13 = 40.82 meters
Please help me...will mark brainiest
Answer: 1,521
Step-by-step explanation:
39 × 39=1,521
I am just going to ask this question again because I keep getting a scam answer
Answer:
14.52 seconds
Step-by-step explanation:
zack spent 1/2 as much time on his homework a shaunda plus an additional 3 hours write an expression to represent the number of hours zack spent on his homework
Answer:
[tex]y=\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Let y equal the total amount of time spent on homework. Regardless of Shaunda's time spent on homework, represented by x, Zack spends half the time, represented by the 1/2. The additional 3hrs represents the y intercept, making it added on to the 1/2x expression.
If I helped, a brainliest answer would be greatly appreciated!
What is this plz this is the last thing i need
Answer:
Exactly 1
Step-by-step explanation:
y = 2 x + 1
the answer to the question above and it’s not 75
Answer:
The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.
Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.
Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)
x= 180-105 = 75°
Pls mark as brainliest
Answer: x = 72
Step-by-step explanation:
The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y
a + y + y = 180 (sum of angles in triangles)
58 + 2y = 180
Subtract 58 from both sides
2y = 122
Divide both sides by 2
y = 61°
In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.
b = 47°
y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.
y + b + x = 180
61 + 47 + x = 180
108 + x = 180
Subtract both sides by 108
x = 72
i dont know what this is please help me thx <3
Answer:
x>0
Step-by-step explanation:
since the circle is white and not blue, it is a normal greater than sign and since the arrow is going to the right it is greater than
Answer:
it would be b because the line is showing that x is greater than zero and there is no line under the symbol because the dot is not shaded in.
Step-by-step explanation:
I will give you BRAINLIEST for the correct answer
Answer:
The answer is C
Step-by-step explanation:
all you have to is divide 150 by 6 and 54 by 6
then you take the answers and look at your possible answers to see if any of them work.
please mark as brainllest
have a very nice week.
Graph this line using the slope and y-intercept:
y=6x+2
Click to select points on the graph.
Answer:
Step-by-step explanation:
two points: (0,2) and (-1, -4)
100 divided by the sum of 22 and 3 as an expression
Answer:
Step-by-step explanation:
100 goes into the numerator and (22 + 3) into the denominator:
100
----------- is an expression.
(22 + 3)
This expression can be simplified as follows:
100
------- = 4
25
Given:-
[tex]\sf \dfrac{100}{(22 + 3)}[/tex]Solution:-
[tex]: \implies \sf\dfrac{100}{(22 + 3)} \\ \\ \\ : \implies \sf\dfrac{100}{25} \\ \\ \\ : \implies \sf \: 4 \: is \: the \: answer[/tex]
Which following figures have a area of 64 square feet? Select three that apply
Answer:
a,e and b
Step-by-step explanation:
Answer:
A e and b
Step-by-step explanation:
Find the value of the variable(s). If your answer
is not an integer, leave it in simplest radical
form.
12.
x
30°
285
Not drawn to scale
a. x = 14, y = 42-43
b. x= 14 /3, y = 42
= 42-/3, v= 14
d x=42, y = 14 /3
Help me please!!! ASAP
Answer:
a) 21 √m inches
b) 13√2/2 m
Step-by-step explanation:
a) we want to find the perimeter of an equilateral triangle
An equilateral triangle is one which sides has the same equal length
The perimeter of this triangle is the sum of the lengths of the three sides
Mathematically, we have this as:
7 √m + 7 √m + 7 √m
= 21 √m inches
b) we want to calculate the perimeter of the given rectangle
Mathematically, we can calculate the perimeter of a rectangle using the formula below;
P = 2(l + b)
where l represents the length of the rectangle and b represents the breadth of the rectangle
From the given shape;
l = √50 m, b = 1/2 √32
So, we have the perimeter follows;
2( √32/2 + √50)
= √32 + √50/2
√32 = 4√2
√50 = 5√2
Thus, we have;
4 √2 + 5 √2/2
= (8 √2 + 5 √2)/2 = 13√2/2
Can anyone help out with this
quadrado de 8 + quadrado de 5 = 64 + 25 = 89
Espero ter ajudado
Answer:
9.43
Step-by-step explanation:
c=a2+b2=82+52≈9.43398
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
[tex]x^2+y^2-2x-8=0[/tex]
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
[tex](x^2-2x)+(y^2)=8[/tex]
And complete the square for the first term:
[tex](x^2-2x+1)+(y^2)=8+1[/tex]
Factor and simplify:
[tex](x-1)^2+y^2=9[/tex]
We can rewrite our equation as:
[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
i got it right on edg if right mark as brainliest
What
6 Jillian has repaid $700 of a $1500 debt.
percentage of the debt has been repaid?
Answer:
46.6%
Step-by-step explanation:
1500 is 100%
700 is x
multiple 700 to 100 the answer is 70000 and divide it by 1500 the percent is 46.6