A construction worker lowers a 100-foot rope from the top of a building. Another worker attaches the bottom of the rope to the ground, 23 feet from the base of the building. What is the height of the building rounded to the nearest foot?
Answer:
97 ft
Step-by-step explanation:
The Pythagorean theorem is useful for working problems like this. It tells you the relationship between side lengths and the hypotenuse of a right triangle.
Here, the building is presumed to be perpendicular to the ground, so the 100' rope is the hypotenuse of a triangle with legs equal to 23' and the height of the building (b).
23² +b² = 100²
b = √(10000 -529) ≈ 97.32
The height of the building is about 97 feet.
-18 = z -7 plz help me with this equation
Answer: z = -11
isolate the variable to solve
Answer:
z= -11
Step-by-step explanation:
add 7 to both sides: -18+7 = z
simplify: -11 = z
What is the value of k
Answer:
k = 5
Step-by-step explanation:
3x + k
im going to replace the x with the numbers that go there
3 x 1 + k = 8
3 x 1 = 3
8 - 3 = 5
k = 5
3 x 3 + k = 14
3 x 3 = 9
14 - 9 = 5
k = 5
3 x 5 + k = 20
3 x 5 = 15
20 - 15 = 5
k = 5
The system of equations graphed below has how many solutions?
A. 0
B. 1
C. Infinitely many
D.2
Answer:
A. 0
General Formulas and Concepts:
Perpendicular Lines always have 1 solution.
Parallel Lines always have no solution.
Same Lines always have infinite amount of solutions.
Step-by-step explanation:
We see from the graph given that the 2 lines are parallel. Since they are parallel, they will never intersect.
Therefore, we would have no solution, or 0 solutions, as our answer.
please help
thank you again
Answer:
True
Step-by-step explanation:
So, again, from the most right column, we can add 5, -6, and -2 to get -3. We now know that every row or column must be equal to -3.
The question is asking if the number square below is -3. We found out from above that is -3 so it's true.
What is three hundred thirty and seventy-six hundredths as a decimal?
Answer:
330.76
Step-by-step explanation:
Solve for the value of w. (8w-7) (7w+8)°
Answer:
W1=0.875.
W2= -1.14
Step-by-step explanation:
(8w-7)(7w+8)
8w(7w+8)-7(7w+8)
56w^2+64w-49w-56
56w^2+15w-56
Solve it by quadratic equation
a=-b+-√(b^2-4ac)/2a
Substitute the values
And you will get 2 answers
a=-56
b=15
c=56
Lines r and 8 are parallel lines cut by transversal t. Which of the following can be used to prove that
when a transversal crosses parallel lines, alternate interior angles are congruent?
24 23 and 2326; therefore 2426.
24/2 and 26: therefore 46.
2
4 3
5
241 and 126; therefore 4. 6.
ş
5 6
8 7
245 and/5 6: therefore4 6.
DORE
My Progress
Answer:
43
Step-by-step explanation:
The standard form of
(6x1)+5x1/100+3x1/1,000
Answer:
Step-by-step explanation:
6.053
Please help! I need to show my work
answer is 50
Thanks so much
Answer:
(3x +2)° + 28° = 180°
=> 3x + 30 = 180
=> 3x = 180–30
=> x = 150/3
=> x = 50
What is the difference of 4 minus (minus 3)? 7 4 3
Answer:
the answer is seven
Step-by-step explanation:
it would end up being plus because of the two minuses
What is another way of writing: 2 x 2 x 2 x 2
Answer:
2^4 or 2 to the 4 power
Step-by-step explanation:
Answer:
2 to the 4th power
Step-by-step explanation:
because you do 2*2*2*2 which equals to 2 to the 4th power
Find four consecutive even integers whose sum is -4
Dont use this website
Its a sham
What is the value of b in the equation
Answer:
b = - 6
Step-by-step explanation:
Using the rules of exponents
[tex](a^{m}) ^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Thus
[tex](y^{b}) ^{4}[/tex] = [tex]y^{4b}[/tex] = [tex]\frac{1}{y^{24} }[/tex] = [tex]y^{-24}[/tex], then equating the exponents
4b = - 24 ( divide both sides by 4 )
b = - 6
Michelle purchased a kids table with a square top. if the area of the square top is 400 inches, what is the length of one of the sides?
i will mark brainliest just please i'm gonna fail fmfmcb
Answer:
fiydy8dy8d8ydy8ddiydy8dyr68d8yd8yd86dy8d8yd86d86f8yf8yfiyfi6dy8f86fi6di6di6f58yfiigdfyifigfuditit8yd58dityofc8568d68r96r69d has been in H2g2g2hh2 for a year wtfor subscribing to the
Answer:
20 cm
Step-by-step explanation:
the square root of 400 is 20
since all 4 sides are equal and the formula is area = L X B
20 x 20 is 400
I really need help with this question. Please answer ASAP.
9(-5)=
Answer:
-45
Step-by-step explanation:
9 multiplied by -5 is -45 because when multiplied a positive number to a negative number stay negative
The imani one thank you :)
Answer:
Equation is (b+7)/2=14
Solve, b=21
Solution: Imani started with 21 boxes
Step-by-step explanation:
This isnt urgent but i need an answer, i will give the person who answers correctly brainliest, please try
Use the divisibility rules to determine which of the following numbers 315 is divisible by.(Check all that apply.)
-2
-3
-5
-7
-11
Answer: 3, 5, 7
Step-by-step explanation:
There is a "trick" to determine divisibility by 3: if the sum of the digits is divisible by 3, the number is divisible by 3.
3 + 1 + 5 = 9 which is a multiple of 3, so 315 is divisible by 3.
It works for 9 also. since the sum of the digits is 9, 315 is divisible by 9.
Divisibility by 5: any number that has the units digit 5 or 0 is divisible by 5.
For 7, I just tried it 315÷7= 45
Only even numbers are divisible by 2.
If a 3-digit number is divisible by 11, the middle digit will be the sum of the first and last digits. (That is not the case for 315) But 385 is divisible by 11, also 495, 253, and many others you can try for fun.
Function or not a function?
{(3,2), (1, -1), (2, -4), (3, -9), (4, -16)}
Answer:
not a function
Step-by-step explanation:
if x values repeat its not a function
....Help please I need help I-
10^-5 = 1/100,000
10^20 = 100,000,000,000,000,000,000
10^-12 = 1/1,000,000,000,000
10^0 = 1
10^3 = 1,000
10^-85 = a very tiny number (basically 0)
Answer: 10^-85, 10^-12, 10^-5, 10^0, 10^3, 10^20
You can also see that it goes in order so the higher the power, the larger the number.
move vertices A B and C to modify the original parallelogram. As you change the parallelogram, notice what happens to the diagonals. How does moving the vertices affect the relationship between the diagonals that you noted in question 2?
Moving the vertices does not affect the relationship between the diagonals. They bisect each other in all cases.
Answer:
Despite changing the vertices, the opposite sides and opposite interior angles of the parallelogram remain equal.
Step-by-step explanation:
PLATO AWNSER
Find measure angle 1
Answer:
60°
Step-by-step explanation:
Opposite interior angles are equal.
Jon Kent's parents subtracted $3,500 from their adjusted gross income when they listed him as an exemption on their tax return . Jon's taxable income was $148. He paid $277 in withholding taxes. What amount should he expect as a tax refund?
Jon is single and can be claimed as a dependent by his parents. Jon has special rules. Look in your notes.
Answer: 3,917
Step-by-step explanation:
Solve for x step by step 8b + 2b = 10
Answer:
b = 1
Step-by-step explanation:
Move all terms that don't contain b to the right side and solve.
Answer:
Add
8 b and 2 b =10 b
Step-by-step explanation:
because 8+2 = 10
and the are alike terms
they both have b so that means they are alike terms
hope this helped
Name two Rays using this figure
Answer:
I think it is MN and NP maybe
16. Lucy is framing a rectangular picture with a perimeter of 60 inches. The width is double the
length. What are the dimensions of the frame?
A. Length
= 10 and width = 20
B. Length
= 30 and width = 30
C.
Length = 10 and width = 25
D. Length = 20 and width = 10
Answer:
a
Step-by-step explanation:
10+10+20+20=60
20+40=60
23.749 in expanded form using decimals
Answer: twenty-three . seven hundred fourty-nine
twenty-three = 23
seven hundred = .7
fourty = 4
nine = 9
A bag of potato chips contains 0.96 grams of sodium. If the bag is split into 8 equal servings, how many grams of sodium will each serving contain? Extension: What other ways can the bag be divided into equal servings so that the amount of sodium in each serving has two digits to the right of the decimal and the digits are greater than zero in the tenths and hundredths place?
Answer:
.12g of Na
Step-by-step explanation:
Assume that y varies inversely with x. If y=1/3 when x=1/2, find y when x=1/4.
Answer:
y = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = [tex]\frac{1}{3}[/tex] when x = [tex]\frac{1}{2}[/tex] , thus
[tex]\frac{1}{3}[/tex] = [tex]\frac{k}{\frac{1}{2} }[/tex] = 2k ( divide both sides by 2 )
k = [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6x}[/tex] ← equation of variation
When x = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{6(\frac{1}{4}) }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Which statement about the linear factors and zeros of a quadratic function is always true? The constants of the linear factors are the opposite of the function's zeros. A function's zeros can be determined by setting each linear factor equal to 0 and solving. If a function's zero is an integer, then the coefficient of the variable in the linear factor must be one. Multiplying the constants of the linear factors gives one of the function's zeros, and adding the constants gives the other zero.
Answer:
A function's zeros can be determined by setting each linear factor equal to 0 and solving.
Step-by-step explanation:
This is because in finding the zero's of a quadratic function, we factorize the quadratic function to obtain its linear factors. Then, each linear factor is then equated to zero to solve for the zeros of the quadratic function.
The solution of the equating to zero of the linear factors give the zeros of the quadratic function.