Answer:
Answer: x = 71 degrees. Yes, the ladder meets safety standards
Discussion:
The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x". For this triangle,
cosx = (side adjacent to angle) / hypotenuse
= 4 / 12
= 1/3
To find "x" take the inverse cosine of each side to find that :
x is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.
Step-by-step explanation:
HOPE THIS HELPED!
-
Answer: x = 71
yes
Step-by-step explanation:
Work out the area of a rectangle with base,
b
= 15mm and height,
h
= 12mm
Answer:
15x12=180mm
Step-by-step explanation:
60% of what number is 880?
Answer:
1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
James is playing a dice game. He is rolling two 6-sided dice. To win, the two dice must sum to a
number greater than 7. What is the probability that he will win?
Answer:
9/20
Step-by-step explanation:
4+4=8, 4+5=9, 4+6=10, 5+5=10, 5+6=11, and 6+6=12 are the nine possible roll combinations that have a sum greater than 7 out of the possible 20 different combinations. This makes the probability of rolling a sum greater than 7 a nine in twenty chance.
5
True or False:
a = 6 is a solution to the inequality a > 6
----
A) True
B
False
Answer:
False.
Step-by-step explanation:
If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.
I need help on math
Answer:
its the first one
Step-by-step explanation:
i have no step by step explanation
By what percent did
the Howard family's
water bill increase from
March to June? March $80.00, June $110.00.
Answer:
Increased by 37.5%
Step-by-step explanation:
1. Approach
First, find the amount by which the bill increased. This can be found by subtracting the final amount from the previous amount. Then set up a proportion to find out the percent by which the bill increased. Remember, a proportion is;
[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]
2. Find the increase
Subtract the bill in March from the bill in June;
June - March
110 - 80
= 30
3. Find the percent change
In this case, these are the value which will be used;
[tex]\frac{increase}{March} = \frac{percent}{100}[/tex]
[tex]\frac{30}{80} = \frac{percent}{100}[/tex]
80 percent = 3000
percent = 37.5
An amusement part sells children
tickets, c, for $15 and adult tickets,
a, for $22. On Monday they sold
438 tickets and earned a total of
$7,067. How many children and
adult tickets did they sell on
Monday?
Write the compound inequality: " A number n is less than or equal to -7 or greater than 12
Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.
-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].
Subtract 4(2x-7) from 5(3x-2)
Answer:
-7x +18
Step-by-step explanation:
ok this the work
4(2x-7) and 5(3x-2) distribute both
8x−28 15x−10
-15x +28 -15x +28 8x-15x is -7x -10+28 is 18
-7x+18
What is the solution to the system of equations?
Answer:
y=-5x+30
y=-5×10+30
y=-50+30
y=-20
x=10
Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width of his model if he uses the same ratio?
Answer:
2 feet
Step-by-step explanation:
Answer:
2 feet
Step-by-step explanation:
...
Solve for x using any method!
4x – 9 = 15
a
x = 4
b
x = 1
c
x = 20
d
x=6
please hurryyyyyy
Answer:
d
Step-by-step explanation:
Answer:
D. x=6
Step-by-step explanation:
4x-9=15
Add 9 on both sides
Now the equation will be
4x=24
Divide 4 on both sides which will end up giving you
x=6
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot
SOH-CAH-TOA
sin Q = Opposite = 26
hypotenuse x
sin 54 = 26
x
x sin 54 = 26
x sin 54 = 26
sin 54 sin 54
x = 26 = 32.1378 ≈ 32.1 feet
sin 54
The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year.
Given:
Current population = x
The population of a city is expected to decrease by 6% next year.
To find:
The expression that represents the expected population next year.
Solution:
We have,
Current population = x
Decrease rate = 6%.
Expected population next year = Current population - 6% of Current population
=[tex]x-\dfrac{6}{100}x[/tex]
=[tex]x-0.06x[/tex]
=[tex]0.94x[/tex]
Therefore, the expression for the expected population next year is 0.94x.
The sixth-grade chorus has a boy-to-girl ratio of 3:8. If the total number of chorus members was 11 last year and 33 this year, how many boys and girls were there for each of these two years?
Carlos bought 24 pounds of flour for $11 How many pounds of flour did he get per dollar?
Answer:
2.2 or 2.18
Step-by-step explanation:
Answer: .48 cents per pound
Step-by-step explanation: divide 11 by 24.
Write an inequality or equation then solve.
Joleen is a sales associate in a clothing store. Each week she earns $250 plus a commission equal to 3% of her sales. This week her goal is to earn at least $460. What is the dollar amount of the sales that she must have to reach to get to her goal? Provide work.
Answer:
She must have to reach $7000 sales to get to her goal.
Step-by-step explanation:
Consider the provided information.
Let her weekly sales is represented by [tex]x[/tex].
Each week she earns $250 plus a commission equal to 3% of her sales. so this can be written as:
[tex]250+\frac{3}{100}x[/tex]
Her goal is to earn at least $460. It means she needs to earn more than or equal to $460.
[tex]250+\frac{3}{100}x\geq 460[/tex]
Now simplify it.
[tex]0.03x\geq 460-250[/tex]
[tex]0.03x\geq 210[/tex]
[tex]x\geq 7000[/tex]
She must have to reach $7000 sales to get to her goal.
Answer:
She must have to reach $7000 sales to get to her goal.
Step-by-step explanation:
Mason invests £1500 at 2.5% per year compound interest.
Work out the value of Mason's investment at the end of 3 years.
I know the answer is 1615.34 I need the working out :/
Step-by-step explanation:
1500(1+2.5/100)^3
or do 100+2.5=102.5
102.5÷100=1.025
1500×1.025^3
Evaluate 7b-b when b=4
Thank you!!
Answer:
The correct answer is 24.
Step-by-step explanation:
A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
jenny has 68 1/2 pages of her left to read. How many pages will she have left after she reads 26 1/6 pages?
Answer:
42 1/3
Step-by-step explanation:
We subtract 26 1/6 from 68 1/2. We do this by finding the LCM of 6 and 2. That is 6. We multiply 1/2 by 3/3 to get 3/6. Now, we subtract. 68 - 26 is 42, and 3/6 - 1/6 is 2/6. Our answer is 42 2/6. That can be simplified to 42 1/3.
Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Jenny has [tex]68\frac{1}{2}[/tex] pages.
She reads [tex]26\frac{1}{6}[/tex]
Let's suppose the remaining pages is x, then the value of x:
[tex]\rm x = 68\frac{1}{2}-26\frac{1}{6}\\\\\rm x = \frac{137}{2}-\frac{157}{6} \\\\\rm x = \frac{411-157}{6} \\\\\rm x = \frac{254}{6}[/tex]
[tex]\rm x = \frac{127}{3}[/tex] or
[tex]\rm x = 42\frac{1}{3}[/tex]
Thus, Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.
Learn more about the fraction here:
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pls help i dont understand any of it
someone please help 5 points!!
Answer:
7.1 is the answer of this question
Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6.
Answer:
- 35/78Step-by-step explanation:
The quotient of
5/6÷ (-13/7) =5/6×(-7/13) =- 35/78From the graph shown, what is an approximate solution of the system of equations?
You can rent a car via two options. Option A charges $20 per day plus $0.10 per mile. Option B charges $0 per day, but $0.50 per mile. How many miles must you drive in one day for option A to be cheaper?
Answer:
50 miles
Step-by-step explanation:
Step one
given data
let the total charge be y and the number of miles be x
Option A charges $20 per day
plus $0.10 per mile.
y= 20+0.1x---------------1
Option B charges $0 per day,
but $0.50 per mile
y= 0.5x---------------2
equate 1 and 2 we have
20+0.1x=0.5x
20=0.5x-0.1x
20=0.4x
divide both sides by 0.4
x= 20/0.4
x=50 miles
Item 6 A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters. Which equations could be used to determine the volume, V, of the prism? Select each correct answer. V = 12 × 5 V = 5 × 4 × 4 V = 8 × 4 × 5 V = 32 × 5
Answer:
I am 100% sure that the answer is 240.
Step-by-step explanation:
The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.
Since, the volume of the prism is given as the product of its length, width and sides.
For the given prism the volume can be obtained as,
V = 8 × 4 × 5
⇒ V = 160 m³
Hence, the correct equation is given as V = 8 × 4 × 5.
To know more about linear equation click on,
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What are three ways a seed can be taken from one place to another?
Answer:
The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.
Step-by-step explanation:
Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.
Answer:
Seeds with wings
Hitchhikers
Going with the flow
help from animals
Step-by-step explanation:
PLEASE ANSWER< WILL GIVE BRAINLY TO BEST ANSWER!?
Answer: D is the correct answer.
Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side and answer D does exactly that because 2.6 + 8.1 =10.7 which is greater than the third side which would be 10.2.
Javier wants to put in a home theater. The area of the space for the screen is 20 ft by 16 ft. What is the largest home theater screen he can purchase, in feet, if the size is determined by the length of the diagonal?
Step-by-step explanation:
I dont know I need help I have this answer in my test and I need help plz
Answer:
25
Step-by-step explanation:
