Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
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which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15
Answer:
B.|-3x| > 15
Step-by-step explanation:
B. Complete the missing factors of the following polynomials.
5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )
6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )
CAN SOMEONE HELP ME, PLEASE.
Which of the following rules could represent the function shown in the table?
Answer:
f(x) = 2x + 1.
Step-by-step explanation:
In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (1, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(1 - 0)
m = 2/1 = 2
Therefore, the slope of the function is, m = 2.
Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.
Therefore, the function rule that represents the given table of values is:
f(x) = 2x + 1.Fave food. THIS IS FOR A GRAPH, PLEASE JUST COMMENT.
State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl
Balanced reaction:
[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]
The reaction type is double replacement.
2h(3m-4h)please help me
Answer:
6hm-8h^2
Step-by-step explanation:
2h(3m-4h)
2h*3m=6hm
2h*4h=8h^2
=6hm-8h^2
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!
Step-by-step explanation:
Where's the picture?
Add this first
Answer:
wait we're is the picture?
JE VOUDRAI CONNAITRE LE RESULTA DE
5√200
help algebra 2 100 pints if you answer right
Answer:
49x^4-70x^3+319x^2-420x+150, first option
Step-by-step explanation:
Just do (7x^3-5x^2+42x-30) times (7x-5)
and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.
All this would simplify to the first option.
49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150
= 49x^4 - 70x^3 + 319x^2 - 420x + 150
ANSwer: The first one.
6x + 5y = 1
y=(-3x -7)
Solve each system by substitution
Answer:
x=3,y=2
Step-by-step explanation:
Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
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Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches
Answer:
3.29
Step-by-step explanation:
4.32+6.86=11.18
11.18-7.89=3.29
Use the long division method to find the result when 6x^3+ 23x^2 + 15x + 28 is
divided by 2x + 7
learnt this topic a while ago and somehow completely forgot could someone explain?
Answer:
99.5
Step-by-step explanation:
in right angle triangle
sin x = opposite side / hypotenuse
sin 34 = x / 178
x = sin 34 * 178
= 99.5
27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?
Step-by-step explanation:
The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.
The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-
The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.
Favourable outcome = 11 = 1
Total outcomes = ( 2,3,5,7,11) = 5
Probability = ( 1 / 5 )
Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).
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A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answer: 500 i think
Step-by-step explanation:
Here we go another question i'm asking you guys to help me with because i don't understand this!
Answer:
1. Less Than
2. Greater Than
Step-by-step explanation:
You know that 1/2 is equal to 4.5/9
So, 2/9 would be less than 1/2.
You know that 1/2 is equal to 5/10
So, 9/10 is greater than 1/2.
Compare each fraction by setting each fraction to the same denominator.
one third of the result of three times a number that is increased by 12
Answer:
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing
Answer:
if it's bot raining, then it's sunny
Simplify the ratio, 44:33
Answer:
4:3
Step-by-step explanation:
if we take 44:33 and simplify by dividing by 11 we get 4:3
[tex]44:33 \\ ⇒ \frac{44}{33} \\ ⇒ \frac{4}{3} \\ = 4:3[/tex]
- BRAINLIEST answerer
Please help I don’t understand
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
Divide. Write the answer in simplest form.
2/5 divided by 3
Answer:
Step-by-step explanation:
0.13 repeating
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)
Answer:
780
Step-by-step explanation:
divide 4 from 3120 to find how many pop-its are made per hour/ unit rate
the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm
Answer:
40π cm2/ min.
Step-by-step explanation:
First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.
one half of the sum of number and 10
Sum of x and 10 is (x+10)
Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]
i am very confused amd i also hate math so please help
Answer:
The answer that you put is right
PLZZZ HELP FOR BRAINLIST
Answer:
I D K GUESS ITS 1 2 4 I GUESS THINKING
Step-by-step explanation:
Write
3^2 × 3√3 as a single power of 3.
Answer:
27√3
Step-by-step explanation: