If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 31 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
The height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.
What is Pythagoras theorem?
Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.
Here, length of ladder (Hypotenuse) is 39 ft
distance from building (base) is 31 ft.
By Pythagoras Theorem,
[tex]Hypotenuse^{2} = perpendicular^2 + Base^2[/tex]
[tex]39^2 = P^2 + 31^2[/tex]
[tex]P^2 = 39^2 - 31^2[/tex]
[tex]P^2 = (39+31)(39-31)[/tex]
[tex]P^2 = 70 X 8[/tex]
[tex]P = \sqrt{560}[/tex]
P = 23.6 ft ≈ 24 ft.
Thus, the height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.
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Lucy makes 5 digit numbers using all these cards
3 4 6 7 9
how meny different numbers greater than 50,000 can she make
The selection of the 5-digit number illustrates arrangements
There are 1875 different numbers greater than 50000
How to determine the numbers?The digits of the 5 digit numbers are given as:
3 4 6 7 9
For the number to be greater than 50000, the first digit must be 6, 7 or 9 i.e. 3 numbers.
The other four digits can be any of the 5 numbers.
So, the count of numbers greater than 50000 is:
Count = 3 * 5 * 5 * 5 * 5
Count = 1875
Hence, there are 1875 different numbers greater than 50000
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Who ever gets it right I will give Brainly and 20 points
Answer:
Circumference of a circle:
c=2πrc=πddistance around a circleArea of a circle:
A=πr²measured in square units(radius) (1/2 circumference)Diego then says, If we take half of the first number and double the second, the sum is 14. Write an equation that could represent this description. what is the solution?
Step-by-step explanation:
let the first number be x
let the second number be y
½ of the first number= ½x
Double the second; 2*y=2y
the sum... that is ½x+2y=14
The equation that could represent this description will be (1/2)x + 2y = 14.
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Diego then says, If we take half of the first number (x) and double the second (y), the sum is 14. Then the equation is given below.
(1/2)x + 2y = 14
The equation that could represent this description will be (1/2)x + 2y = 14.
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Which is the value of this expression when m = 3 and n = negative 5?
(6 m Superscript negative 1 Baseline n Superscript 0 Baseline) Superscript negative 3 HELP PLZZ
Answer:
Start Fraction - 1 Over 8 - End Fraction
(6m-1n0) -3
= (6m-1x1) -3
= (6/m) -3
= (m/6) 3
= (3/6) 3
= (1/2) 3
= 1/8
1/8 is your answer. Hope it helps!
Answer:
The answer is 1/8
marco needs to buy some cat food.At the nearest store, 3 bags of food cost 17.25$. How much would marco spend on 6 of cat food?
Well if Marco is spending 17.25 on 3 bags we know that six bags will just be double the 17.25 or 17.25 times two. This means that for six bags Marco will be spending $34.50 to feed his cat.
the base of a 17-foot ladder is placed 8 feet away from a wall what is the height of the wall if the other end of the ladder reaches the top
It would be A.15ft
Step-by-step explanation:
Use the graph to complete the statement.
The triangle at the top of the graph is a reflection of the
triangle at the bottom.
Over what line is the triangle reflected?
The triangle is reflected over line _________
Answer:
C
Step-by-step explanation:
I know my reflections =D
Mark as brainliest ;D
Answer:
c
Step-by-step explanation:
can i get some help with this pls
Answer:
61.875
length 3
width 2.5
hight 8.25
HELPPP Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Answer:
y= 2/3x -1
Step-by-step explanation:
hello people ~
factorise: 21x² - 55x - 14
This equation cannot be factorised, at least not easily. It would require decimals and that's not worth the time. Instead you can use the quadratic formula to solve for x, which works for any quadratic equation:
[tex]\frac{-b + or - \sqrt{b^{2} - 4ac} }{2a}[/tex]
a being the x^2 coefficient
b the x coefficient
and c the constant
here a = 21
b = -55
c = -14
let's solve this one:
[tex]\frac{-(-55) + \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]You can simply input this into a calculator to find the answer, or you can work it out mentally.
= 2.852740993
Now, since this is a quadratic we need to possible values of x. So we just redo the same formula, but this time with a negative square root:
[tex]\frac{-(-55) - \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]
= -0.2336933736
You can round these answers however you like, but I would recommend doing to either 3 significant figures, either 2 or 3 decimal places.
Answer:
[tex]\displaystyle [7x - 2][3x - 7][/tex]
Step-by-step explanation:
Find two quantities that when summed to 55, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus sign because the B-value is −55, therefore 49 gets the minus sign, leaving 6 with the plus sign. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 - 55x + 14 \\ \\ [21x^2 + 6x] - [49x + 14] \\ 3x[7x - 2] - 7[7x - 2] \\ \\ \boxed{[7x - 2][3x - 7]}[/tex]
I am joyous to assist you at any time.
**For all you moderatours out there, this user made a typographical errour with the symbol of the C-value. It was supposed to be 14, not −14. BELIEVE ME.
Dilate the figure with the origin as the center of dilation.
(x,y) → (0.5x, 0.5y)
Answer:
see attached
Step-by-step explanation:
The dilation factor of 1/2 moves each point to half its previous distance from the origin.
2)
A person places $81200 in an investment account earning an annual rate of
3. 6%, compounded continuously. Using the formula V Pert, where Vis
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 13 years.
Answer:
Submit Answer
Answer:
A = $129,659.95
Step-by-step explanation:
the equation used for compound is A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.
A = 81,200.00(2.71828)^(0.036)(13)
The reciprocal of a positIve natoinal number is?
Answer:
If the rational number is ab then, te reciprocal is ba
Step-by-step explanation:
Suppose that rational number is ab
Then, the reciprocal of that number is ba
Write the equation of the line that goes through the points (7,3) and (-14,9).
PLEASE HELP
First find slope (m):
[tex]\sf \bold{slope-formula: {\frac{y2-y1}{x2-x1} }}[/tex]
[tex]\rightarrow \sf \dfrac{9-3}{-14-7}[/tex]
[tex]\rightarrow \sf \dfrac{6}{-21}[/tex]
[tex]\rightarrow \sf -\dfrac{2}{7}[/tex]
equation:
y - y₁ = m ( x - x₁ )
[tex]\rightarrow \sf y - 3 = -\dfrac{2}{7} ( x - 7)[/tex]
[tex]\rightarrow \sf y = -\dfrac{2}{7} x +2 +3[/tex]
[tex]\rightarrow \sf y = -\dfrac{2}{7} x +5[/tex]
Find the sum
4 3/8−2 1/8.
"(help me pls ASAP)"
The answer is 2.25, or 2 1/4
Insert 2 sets of parentheses to make each sentence true: 2 x 14 – 9 – 17 – 14 = 7
Answer:
- 12
Step-by-step explanation:
2x14= 28
28-9=19
19-17=2
2- -14= - 12
In the given figure, ARAM ~ APQR, AM = 18 cm, QP = 12 cm and RM = 24 cm, find the measure of PR.. Ans: 16 cm =
Given that triangles RAM and PQR are similar triangles, therefore, the measure of PR is: 16 cm.
What are Similar Triangles?The sides of triangles that are similar to each other have proportional measures.
Given:
Triangles RAM and PQR are similar trianglesAM = 18 cmQP = 12RM = 24Thus:
AM/QP = RM/PR
Substitute
18/12 = 24/PR
PR = (24 × 12)/18
PR = 16 cm
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How can you solve one-step addition and subtraction equations
Answer:
Imagine an example to make it easier. . . I guess.
Step-by-step explanation:
For example:
Molly had 1 cookie.
Leo had 2 cookies.
Leo stole Molly's cookie.
How many cookies does Leo have now?
He has 3 cookies now.
Hope I helped :D
Please consider Brainliest :)
Answer:
Some equations are easy to solve in your head. If the numbers are easy to work with, you just have to figure out what question you need to answer. For example, to solve x + 8 = 12, you have to determine what number can be added to 8 in order to have a sum of 12. In this case, x must be equal to 4.
Other equations, however, are much harder to solve using mental math. Equations that have lots of negative numbers, large numbers, fractions, or decimals can be difficult to solve in your head. That's why there is a system, called an algorithm, for solving these equations.
An algorithm is just a step-by-step process for solving problems. The algorithm for solving equations is based on a very important property called the property of equality, which says that whatever is done to one side of the equation must also be done to the other side.
The algorithm for solving equations has four steps:
Locate the variable.
Determine what operation is being done to the variable.
Do the inverse operation on both sides of the equation.
Check your solution using substitution.
Remember that the goal of solving an equation is to determine what value of the variable will make the sentence true. This means you need to find what the variable is equal to. That's why the first step, although it may seem easy, is so important. You need to start by locating the variable in the equation. Take a look at Ondi's equation from above:
n - 1.4 = 3.7
In this case, the variable is n, and it's on the left side of the equation. That was easy! Now for the second step. Remember that the goal is to figure out what the variable is equal to when it's by itself. So in the second step, you have to identify what is being done to the variable in the equation. If you look at the equation above, you can see that 1.4 is being subtracted from n. The second step is complete!
The third step is when you actually start working with the equation. You're going to do the opposite of what is already being done to the variable. For example, if a number is added, you're going to subtract. If a number is subtracted, you're going to add. This will help you get the variable by itself on one side of the equation. Then you'll know what the variable is equal to!
In the equation, 1.4 is being subtracted from n. So you're going to do the opposite and add 1.4. Remember that the property of equality says that if you do something to one side of the equation, you must do it to the other side as well. Take a look:
n - 1.4 + 1.4 = 3.7 + 1.4
Can you see what is going to happen on the left side of the equation? Subtracting 1.4 and adding 1.4 cancel each other out, leaving you with just n. That's because subtraction and addition are inverse operations, which means they undo each other.
So the left side of the equation simplifies to the variable n. What will happen on the right side? The constants 3.7 and 1.4 will combine to give you 5.1.
n = 5.1
The fourth and final step of the algorithm is to check the solution using substitution. Substitute the value of 5.1 in for n in the original equation to see if the sentence is true:
n - 1.4 = 3.7
5.1 - 1.4 = 3.7
3.7 = 3.7
Yes! This statement is true, so the solution is correct!
Step-by-step explanation:
Hope this helped you!
Label the points, lines, and planes to show AB and line m perpendicular to each other in plane S at point B. plane S
intersecting plane R in line p. and AB both perpendicular to line p and intersecting line n at point A.
The breadth of a cuboid is one-fourth of length and height is two-thirds of the length. If the volume of the cuboid is 288 m' find the total surface area.
Answer: Total surface area of cuboid = 312 sq m
Step-by-step explanation:
Let the length of the cuboid be " X "
Then the breadth of it will be X/4
and the hight of it will be X × 2/3
So the volume will be
= L × B × H
= X × X ÷4 × X× 2÷3
2 X ^ 3
= --------------
12
X^3
= ------------- = 288
6
X^3 = 288 × 6 =1,728
X = cuberoot 1,728
= 12
Length 12
Breadth 12÷4 = 3
Hight 12 × 2 ÷3 = 8
Total surface area of cuboid
= 2 LB +2 BH +2 LH
= 2× 12× 3 + 2× 3 × 8 + 2× 12 × 8
= 312 sq m
Statistical sampling:_________.
a. is typically less complicated than non-statistical sampling
b. can be used in addition to testing specific items from a population
c. should generally not be used for auditing engagements
d. can be used instead of testing specific items from a population
9 Consider the expressions (5.9 X 10^6) and (3.2 X 10^4).
Part A
Find the difference of the expressions.
Part B
Find the product of the expressions.
Answer:
I think the answer will be B 1-9x+C=32
Step-by-step explanation:
PLEASE HELP ASAP!! compute and compare the side lengths of the two figures.
Answer:
They are congruent, the side lengths are the same. All that happened was a translation.
Step-by-step explanation:
For a figure to be congruent, it has to be the same size and shape. The size didn't change, just the position.
could u vote me brainliest plz, im trying to level up. thx :)
Answer number 8 please
Answer:
1/3
Step-by-step explanation:
The cone is three inches and the radius in one inch
Please help meeeeeee 7th grade
Answer:
2 inches
Step-by-step explanation:
first figure is 6x12, so the length is half the width, so side g is 2 cause 1 is half of 2
Answer:
g = 2 inches
A soccer ball is kicked and travels 25 meters to the north in 2.5 seconds. At what velocity is the ball traveling?
62.5 m north
62.5 m/s north
10 m
10 m/s north
Consider this expression: 3(3n + 6z)
Enter an expression that shows the sum of exactly two terms that is equivalent to 2(3n+ 6z).
The sum of the expression 70a and 21b is equivalent to 7(10a + 3b).
Step-by-step explanation:
EquationAn equation is an expression that is used to show the relationship between two or more variables and numbers.Given the expression:7(10a + 3b)Opening the bracket:= 70a + 21bThe sum of the expression 70a and 21b is equivalent to 7(10a + 3b).
There were 20 balloons at the beginning of a party. By the end of the party,n of them had popped. using n, write an expression for the number of the balloons that were left
expression: 20 - n
total balloons = 20popped balloons = nnumbers of balloons left = total balloons - popped balloons
numbers of balloons left = 20 - n
Answer:
20 - n balloons remained
Explanation:
To find how much balloons remained after the party, we need to subtract the number of balloons popped from the total balloons.Finding how much balloons remained:
We know that there were 20 balloons at the beginning of the party and n balloons popped when the party was over.20 - n balloons remained.
Use the discriminant to determine the number and type of solutions the equation has.
x2 + 6x + 12 = 0
two rational solutions
two irrational solutions
no real solution
one real solution
Answer:
no real solutions
Step-by-step explanation:
x² + 6x + 12 = 0
the general solution :
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 6
c = 12
the discriminate is (b² - 4ac).
so,
x = (-6 ± sqrt(6² - 4×1×12))/(2×1)
the discriminate is
6² - 4×12 = 36 - 48 = -12
this is negative, so via the square root of a negative number we get 2 complex (imaginary) solutions.