Answer:
6.4 ft
Step-by-step explanation:
Let “a” be the light post height
Let “b” be the length of the shadow
Let “c” be the distance from the top of the light post to the end of the light post’s shadow.
Then:
(a X a) + (b X b) = c X c
The Pythagorean Theorem will work pretty well here:
(4 X 4) + (5 X 5) = 16 + 25 = 41
The square root of 41 is: 6.4023
So, about 6.4 ft from the top of the post to the end of the shadow
Answer:
6.4ft
Step-by-step explanation:
Mr. Garvey is almost finished working on his rectangular patio. He has ordered enough patio stones to cover an area of 600ft2. He knows that his yard is 30ft wide. He also remembers that there is an equation for areas of a rectangle: FASTTTTT
Answer:
20 ft
Step-by-step explanation:
Area of a rectangle = length x width
600 ft^2 = 30 ft x length
length = 600 / 30
= 20 ft
Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in
1) Find the missing side. Give your
answer in simplest radical form.
Answer:
x = 4√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = 8
Leg b = 4
Hypotenuse c = x
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²Evaluate exponents: 64 + 16 = x²Add: 80 = x²[Equality Property] Square root both sides: √80 = xRewrite: x = √80Simplify: x = 4√5The area of the triangle below is 2/5 square foot. What is the length in feet of the base of the triangle?
Answer:
C) 2/3
Step-by-step explanation:
A password contains five digits, such as 17467. How many different passwords can be formed? Help please
Answer:
Step-by-step explanation:
100,000
The number of different passwords can be formed by; 1,00,000
How to identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on
Given that the password contains five digits, such as 17467.
In general total digits = 10 [ from 0 to 9]
If a password contains five digits, then by the fundamental principal of counting, then the total number of different passwords;
[tex]10^5[/tex] = 1,00,000
Hence, the number of different passwords can be formed by; 1,00,000
Learn more about place value here:
https://brainly.com/question/17983725
#SPJ2
Percent Profit or Loss
Calculate the percentage profit if an antique clock is bought at a yard sale for $20 and sold for $100. Type the number only
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
the answer is what you think it is fam on foenem
Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.
Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.
Step-by-step explanation:
Suppose you take 340 mg of a certain medication.
The amount of medication in your body decreases by 32% per hour.
Write a function for M(h), the number of milligrams of the medication in your body after h hours
Answer:
m= 340 × 0.68h
Step-by-step explanation:
Given that
You take 340 mg of the certain medication
And, the amount of medication would be reduced by 32% per hour
So we need to the find the function for M(h)
Here M denotes the milligrams
And, the h denotes the hours
So, the function would be
m = 340 × (1 - 0.32)h
m= 340 × 0.68h
The same would be considered and relevant
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
50 pt = ?gal
50 pt = ?pt
PLEASE HELPPPP
Answer:
50 pints is 6.25 gallons.
What do you mean by the second one?
Step-by-step explanation:
50 ÷ 8 = 6.25
Answer:
50 pints is 6.25 gallons.
50 ÷ 8 = 6.25
Step-by-step explanation:
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
Which transformation carries the regular pentagon onto itself?
Answer: rotations
With regard to the regular pentagon, the student describes the center of rotation as the point where the diagonals intersect. The student indicates that rotations of degree 72, 144, 216, 288, and 360 clockwise and counterclockwise about this point will carry the pentagon onto itself.
HOPE THIS HELPS
Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.
Which factorization could represent the number of water bottles and weight of each water bottle?
6(10x2 + 8x + 2)
12(5x2 + 4x + 2)
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)
Answer: 12(5x2 + 4x + 2) is correct answer
Step-by-step explanation:
60x2 + 48x + 24
if we take 6 as a common factor
6(10x^2+8x+4) so first option is not true
if we take 12 as a common factor
12(5x2 + 4x + 2)
6x & 12x can not be taken as common factor..
so the correct option is 2nd one..
i need heeeeeelp please and thank you :)
What is the standard form of y – 10 = 2(x + 2)?
Answer:
y = 2x+14
Step-by-step explanation:
So first of all simplify 2(x+2)
Result is 2x+4
Y-10=2x+4
Now add 10 to both sides and that's how you get your answer
The sum of a number and 2.
Answer:
whats the question
Step-by-step explanation:
help me if you can !!
Answer:
it is the 3rd one
Step-by-step explanation:
what type of question can be solved using Cramer's rule?
Answer:
check the pdf .
Step-by-step explanation:
A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.
Answer:
2.5 teaspoons
Step-by-step explanation:
75/15 = 5
1/2 · 5 = 2.5
Answer:
2.5 teaspoons of sugar
Step-by-step explanation:
[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]
Cross multiply.
15 × y = 0.5 × 75
15y = 37.5
15y ÷ 15 = 37.5 ÷ 15
y = 2.5
Evaluate:
-6 ÷ 3
(-2)(-3)
8 - 4 ÷ -2
14 - 8 ÷ 4 × 0(5 - 3)
-6 ÷ 3=__
6 ÷ 3=2
-+2
=-2
(-2)(-3)=__
-2*-3
=6
8 - 4 ÷ -2=__
4÷-2=-2
8--2
=10
4 - 8 ÷ 4 × 0(5 - 3)
=4
hope this helped ○( ^皿^)っ
The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.
Answer: less likely
Step-by-step explanation:
Given
The probability of an event is 0.5
The value of probability always lies between 0 and 1. 0 represents that event will not while 1 represents the certainty of the event.
When 0.5 is compared with 1, it is less likely to happen i.e. chances of this event to occur are less compared to the a event with probability of 1.
Help, this is confusing for me
Answer:
B: 163,343
Step-by-step explanation:
V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.
do the following conditions make a unique triangle more than one triangle or no triangle possible
Answer:
No triangle possible.
Step-by-step explanation:
3 + 6 < 10 so no triangle can be drawn with these lengths.
What is the surface area of a cube that has a radius of 9 ft and height of 3 ft
Answer:
If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....
Step-by-step explanation:
someone please help me
the temperature in november was less than 55 degrees every day which inequality shows the temperature in november
Answer:
a. x < 55
Step-by-step explanation:
We know that the temperature in November was less than 55° every single day, we are then asked to find which inequality out of the four given shows the temperature in November.
To do so, take the most crucial information, "the temperature in November was less than 55° every single day." The words "less than" makes us know that we will be using the sign "<". Looking at the answers, we see only one that uses it, and that is a.
Therefore a is the correct answer.
List all the multiples of 3 less than 14.
Answer:
3, 6, 9, 12
Step-by-step explanation:
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
Answer:
3 6 9 12
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3= = 9
3 x 4 = 12
3 x 5 = 15 <------ TOO MUCH
Multiples are numbers that can be divided by that number you are finding out the multiples.
Substitute the values of a = 7 and b = 11. What expression do you get when you substitute these two values? 67 + 311 6 ( 7 ) + 3 ( 11 ) 6 ( 7 ) - 3 ( 11 ) 7 ( 7a) + 3 ( 11b)
Answer:
[tex]6(7) + 7(11)[/tex]
Step-by-step explanation:
Given
The expression is:
[tex]6a + 7b[/tex]
[tex]a = 7[/tex]
[tex]b = 11[/tex]
Required
The corresponding expression when the values are substituted for the variables
We have: [tex]6a + 7b[/tex]
Substitute [tex]a = 7[/tex]
So, the expression becomes:
[tex]6(7) + 7b[/tex]
Substitute [tex]b = 11[/tex]
So, the expression becomes:
[tex]6(7) + 7(11)[/tex]
select the inequality that is represented by the number line below
NO LINKS OR I WILL REPORT
Answer:
a) x<0
Step-by-step explanation:
the circle is not solid so it’s just a less than a sign and the arrow is going less than 0 so x is less than 0 is the answer
hope this helps :)