Answer:
7.7 feet
Step-by-step explanation:
Let the distance from the base of the building to the foot of the ladder be represented by x. Ladder is 25 feet long, while window is 23.8 feet high.
The length of the ladder, the height of the window and the distance from base of building to foot of ladder describes a right angled triangle.
Thus, applying the Pythagoras theorem;
[tex](25)^{2}[/tex] = [tex](23.8)^{2}[/tex] + [tex]x^{2}[/tex]
625 = 566.44 + [tex]x^{2}[/tex]
625 - 566.44 = [tex]x^{2}[/tex]
58.56 = [tex]x^{2}[/tex]
⇒ x = [tex]\sqrt{58.56}[/tex]
= 7.653
The foot of the ladder should be placed 7.7 feet away from the base of the building.
In the inequality 2x + $10,000 ≥ $70,000, x represents the salary of an employee in a school district. Which phrase most accurately describes the employee's salary?
Options:
A. At least $30,000
B. At most $30,000
C. Less than $30,000
D. More than $30,000
Answer:
A. At least $30,000
Step-by-step explanation:
Given the inequality :
2x + $10,000 ≥ $70,000 ;
Where x salary of an employee ;
Phrase which describes the employee's salary, x
2x + 10000 ≥ 70000
2x ≥ 70000 - 10000
2x ≥ 60000
x ≥ 60000 / 2
x ≥ 30000
Salary ,x, is greater than or equal to $30000
need 3 equivalent ratios for 22:55
Answer:
look below
Step-by-step explanation:
2:5
44:110
66:165
Find f(3) f(x)=x+2/x
A) -1/3
B)1/3
C)5/3
D)-5/3
Work Shown:
f(x) = (x+2)/x
f(-3) = (-3+2)/(-3) .... replace every x with -3
f(-3) = -1/(-3)
f(-3) = 1/3
Find the circumference of the circle, round to the nearest tenth. Answer: H
Answer:
H
Step-by-step explanation:
To convert 564 kL to mL, you move the decimal point _____ places to the _____. i need help ASAP please!
Answer:
6 places to the right....
The admission fee at an amusement park is $1.50 for children and $6.40 for adults. On a certain day, 286 people entered the park, and the admission fees collected totaled $1164. How many children and how many adults were admitted?
Answer:
Adult= 150 and Children=136
Step-by-step explanation:
Jason is flying a kite and has 325 feet of kite string out. The angle of elevation between Jason’s hand and the kite string is 58˚. Jason’s hand is 3 feet above the ground. How high is the kite to the nearest tenth?
i need this asap pls
Answer:
The height of the kite is approximately 278.6 feet
Step-by-step explanation:
The length of Jason's Kite string, l = 325 feet
The angle of elevation of the kite string, θ = 58°
The height of Jason's hand, h = 3 feet above the ground
Therefore, we have;
The height of the kite = The vertical component of the length of the kite string + The height of Jason's hand above the ground
The height of the kite = l × sin(θ) + h
Substituting the values, we get
The height of the kite = 325 × sin(58°) + 3 ≈ 278.6 (which is obtained by rounding the answer to the nearest tenth)
The height of the kite ≈ 278.6 feet.
A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose it is 6:30 am right now. At what time will both trains leave the station together?
Answer:
7:12 a.m
Step-by-step explanation:
Given that:
Train to New York city leaves station every 7 minutes
Train to Boston leaves station every 6 minutes
Current time = 6:30 a.m
Time both will leave station together is obtained by finding the least common multiple of 6 and 7
Multiples of ;
6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...
7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...
The least common multiple of 6 and 7 is 42.
Hence, both trains will leave the station together after 42 minutes ;
Current time + 42 minutes
6:30 a.m+ 42 minutes = 7:12 a.m
Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings equally how much did each girl receive
Answer: Each girl will receive $18.75.
Step-by-step explanation:
Given: Two girls babysat three children for five hours.
Hourly pay for each child = $2.50
Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]
Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]
So, the amount received by each girl = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]
[tex]=\dfrac{37.5}{2}=\$18.75[/tex]
Hence, each girl will receive $18.75.
A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January.
Month, x 1 2 3 4 5 6 7 8 9
Units, y 150 300 380 425 425 480 520 550 575
Which equation best models the situation?
a y=148.4 x-1-154
b y=46.4x+191.7
c y=148.4 x-1+154
d y= -46.4x+191.7
Answer:
B
Step-by-step explanation:
I took the test.
Answer:
y=148.4sq rt x-1 +154 or c
Step-by-step explanation:
5.
2) Which of the following are equivalent to
the ratio, "There are 6 brunettes for every 4
blondes"? CIRCLE ALL THAT APPLY.
A) 4:6
C) 3:2
B) 9:6
D) 2:3
Answer:
b
Step-by-step explanation:
divide them by 2 so you'll get the same answer
help plz or my teacher will give me a zero
Answer:
Variable x = $2.39 ⇒ price of 1 pound of cashews
Variable y = $1.79 ⇒ price of 1 pound of peanuts
Step-by-step explanation:
Assume that the price of each pound of cashews is $x and the price of each pound of peanuts is $y
∵ The price of 1 pound of cashews = x
∵ The price of 1 pound of peanuts = y
∵ 5 pounds of cashews and 8 pounds of peanuts cost $26.27
∴ 5x + 8y = 26.27 ⇒ (1)
∵ 7 pounds of cashews and 4 pounds of peanuts cost $23.89
∴ 7x + 4y = 23.89 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (2) by -2 to make the coefficients of y equal
in values and different in signs
∵ -2(7x) + -2(4y) = -2(23.89)
∴ -14x - 8y = -47.78 ⇒ (3)
→ Add equations (1) and (3) to eliminate y
∵ (5x + -14x) + (8y + - 8y) = (26.27 + -47.78)
∴ -9x = -21.51
→ Divide both sides by -9 to find x
∴ x = 2.39
→ Substitute x in equation (1) or (2) to find y
∵ 5(2.39) + 8y = 26.27
∴ 11.95 + 8y = 26.27
→ Subtract 11.95 from both sides
∴ 8y = 14.32
→ Divide both sides by 8 to find y
∴ y = 1.79
∴ The price of 1 pound of cashews is $2.39
∴ The price of 1 pound of peanuts is $1.79
help please !!!!!!!!!!!!!!
Answer:
two of the points are (0,5) and (2.5,0)
Answer:
Place one dot at y = 5 x = 0. This represents the y intercept or the "5" in the equation.
Then place dots at:
(-3,10)
(-2,9)
(-1,7)
(1,3)
(2,1)
(3,-1)
(4,-3)
(5, -5)
(6, -7)
(7, -9)
The slope is -2x which makes the line slope downward, and the points above are the points on the line. Starting at the y intercept we can use the rise over run method to plot the points.
I hope this helps!!
- Kay :)
What statement is true about DCB and ACF
both angle are equal
DCB is equals to FCA
brainliest, thanks, 5 points, and a nice comment if you get this.
Answer:
A
Step-by-step explanation:
Just look up the formula for the area of a circle. There's a calculator that you put the radi in and gives you an almost perfect answer.
Answer: I think it’s A
Step-by-step explanation
What is this one for factor to this?
help me I only have until 8:50 to finish this please help me
1a) f(4) = 2
1b) x = 1 and x = 3
2a) g(3) = 55
2b) If you work 5 hours... you could expect to earn $85 (according to the function)
Answer the following correct
Answer: a
Step-by-step explanation:
what is 22)572 please someone come help me
Answer:
0.03846153846
Step-by-step explanation:
Answer: 1/26 or 0.0384615
Step-by-step explanation: You Have To Figure Out How Many Times 22 can go into 57 The Answer is 2 leaving 13 bring down the 2 it makes 132 22 times 6 = 132 so the answer is 1/26.
A standard container measures 2.4 m by 2.4 m by 6 m.
Multiply the dimensions to work out its volume.
Answer:
34.56
Step-by-step explanation:
evaluate [tex]2^{x}[/tex] for (a) x=-2 and (b) x=3. write your answer in simplest form
HELP NEED ANSWER IN 6 MINS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
The first one is yes, and the second is
Step-by-step explanation:
10/1 so actual distance changes by 10 every one inch on the map and the map distance by 1 every ten miles in actual distance
What survival rate in the 10th year would make the average
rate of loss over the 10-year period equal to 38.0%?
Answer:
The answer is "63%"
Step-by-step explanation:
please find the complete question in the attached file.
Time= 10 year =38.0%
let,
x=rate
[tex]\to 38 = \frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10}[/tex]
[tex]\to 38 = \frac{(343 + x )}{10}\\\\\to 380 = (343 + x )\\\\\to 380 - 343 = x \\\\\to x= 37\%[/tex]
The rate of survival differs from the rate of loss, meaning the rate of survival were:
[tex]= 1 - loss\ rate \\\\= 1 - 37\% \\\\= 1 - \frac{37}{100} \\\\= \frac{100-37}{100} \\\\= \frac{63}{100} \\\\=63 \%[/tex]
find the points of D(-3,-1), E(-1,2), F(4,-2) after a rotation 180° about the origin ASAP PLEASE ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
D = 3,1
E = 1,-2
F= -4,2
Expert Answer! Determine if the two triangles are congruent.
Answer:
SAS
Step-by-step explanation:
We have 2 sides that are congruent and the angle between them
We can use SAS ( side angle side) to prove congruency
Write an equation of the line passing through point P(4,0) that is parallel to the line -x + 2y = 12.
23 more than twice a number
Answer:
2x +23
Step-by-step explanation:
Let the required number be x
Twice of number = 2x
23 more than twice a number = 2x + 23
Answer:
2x + 23
Step-by-step explanation:
Let x be the number
Twice a number = 2x23 more than twice a number = 2x + 23I hope this helps!
Andrew has $15 less in his piggy bank than his friend Tom. Write an algebraic expression that represents the amount of money that Andrew has in his piggy bank.
Answer:
I think the answer is is X-15
5
2
+(12−7+x) if x=6
Answer:
the answer will be 6 or 10
Tracy spends $97 on her cell phone bill this month. Her bill is usually around the same amount each month. If she wants to include an estimate of her cell phone bill in her monthly budget, what amount should she use? Round to the nearest ten.
Answer:
$100
Step-by-step explanation:
97 is rounded to 100 because the last digit is more that 5.
I hope this helped, please mark Brainliest, thank you!