PLEASE HELP
1. Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
2.What is the area of to the nearest tenth of a square centimeter? Use special right triangles to help find the height. Show your work.
Answers
Answer:
1.) not safe
2.)
[tex]18 \sqrt{3} [/tex]
Step-by-step explanation:
1.) given the length of the ladder = 15ft.
and the height to the top of ladder when leaned against a wall is 14.8ft. This all forms a right triangle.
with what we are given we can solve for the angle it creates from the ground to the leaned ladder by using the SOHCAGTOA. Whike we do this keep in mind its not safe for a ladder to create an angle more than 70 degrees.
in this case if we are solving for the angle where the height is opposite we will use SOH. because we know the oposite and the hyp. Sin(theta) = opp/hyp
[tex] \sin(theta) = \frac{14.8}{15} [/tex]
[tex]sin^{ - 1} ( \frac{14.8}{15} ) = 81 \: degrees[/tex]
therefore not safe.
2.)
your givin 90 and 60. remember all interior angles add up to 180.
therefore 30 would be the unknown angle.
knowing that we use the chart at the top.
across from 30 is 6. so we put that by x. (remember we are doing this to find the height for our area of a triangle formula = base time height devide by 2.)
we need to find the height so since we kmow what x is we know what is across from 60 which is
[tex]6 \sqrt{3} [/tex]
so we plug that into our formula for area of triangle and u should get 18
[tex] \sqrt{3} [/tex]
Related Questions
find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1.
Answers
Answer:
can i get the pic of it?
Step-by-step explanation:
.........
If x = 2 and y=-3, then -xy^2 =
A) -36
B) 18
C) -12
D) - 18
Answers
Answer:
-18
Step-by-step explanation:
-xy^2 =
Let x=2 and y = -3
-(2) (-3)^2
-2 (9)
-18
If x = 2 and y=-3, then -xy² B) 18.
To solve the given mathematical problem, we will substitute the given values of x and y into the expression and calculate the result step by step.
Given:
x = 2
y = -3
We need to calculate the value of the expression:
[tex]-xy^2[/tex]
Substitute the given values into the expression:
[tex]-xy^2 = -(2)(-3)^2[/tex]
Now, calculate the square of y:
[tex](-3)^2 = 9[/tex]
Next, multiply the values together:
[tex]-xy^2 = -(2)(9)[/tex]
[tex]-xy^2 = -18[/tex]
Since there is a negative sign outside the parentheses, the result will be the negative of the product inside:
[tex]-xy^2 = 18[/tex]
Therefore, the final answer is 18.
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system? (2 points)
No Solutions
Infinite Solutions
(3.2)
(9,2)
Answers
Infinite Solutions . :)
Answer: Infinite Solutions
Step-by-step explanation:
y= 3x+2
3y=9x+6
Divide by 3 to get the y by itself
y=3x+2
------------------
y= 3x+2
y= 3x+2
someone pls help!
All of the following statements are true, except for which?
Answers
The two-way table shows the ages of the players on different soccer teams.
Answers
Answer:
C
Step-by-step explanation:
In the picture attached, the complete question is shown.
The probability that a randomly selected player on Team A is 8 years old is = 4/15
The probability that a randomly selected 8-year-old player is on Team C is = 8/21
The probability that a randomly selected player on Team C is 10 years old is = 5/16
The probability that a randomly selected 10-year-old player is on Team B is = 3/14
Help !
Will mark as brainliest
Answers
Answer:
[tex]3x^{2} y^{4} X 2x^{6} y =6x^{8} y^{5}[/tex]Hope this helps!
:)
What is the volume of a cone with a radius of 4 centimeters and a height of 10 centimeters? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 πr2h 2. Substitute the values into the formula: V = 1 3 π(42)(10) 3. Evaluate the power: V = 1 3 π(16)(10) 4. Simplify to find the volume of the cone to be Pi centimeters cubed.
Answers
Answer: its 160/3
Step-by-step explanation:
Answer:
160/3
Step-by-step explanation:
A newsstand spends $500 a month on rent and electricityand it spends $1.50 for each magazine that it sells. The newsstand charges $4.50 for each magazine. If nis the number of magazines, which equation represents the profit function of the newsstand?
Answers
Answer:
n(3.5)-500= p
Step-by-step explanation:
*The p represents the profit.
Answer: p = 3n -500
Step-by-step explanation:
AP3X
Please help!! Will give Brainly to the best answer!!!!The function f(x) = -X² + 16x - 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number of candles sold.
Determine the vertex, and explain what it means in the context of the problem.
(6, 10): The vertex represents the maximum profit.
(6. 10): The vertex represents the minimum profit.
(8. 4): The vertex represents the minimum profit.
(8.4); The vertex represents the maximum profit.
Answers
Answer:
(8,4)
Step-by-step explanation:
The vertex means that the maximum amount of candles that you can sell is exactly 8 to obtain full profit.
The equation would be f(x) = -X² + 16x - 60
then -(x^2 -16x)-60 which then equals
-(x^2-16x+64-64)-60
then that would equal -(x-8)^2 +64 -60
which would give you the final answer of -(8x)^2 +4
Answer:
(8, 4); The vertex represents the maximum profit.
Step-by-step explanation:
Which best describes the transformation
Answers
Answer:
A rotation of 180 about point J
Step-by-step explanation:
hi, please help.
what are some things you wonder about simple machines?? it doesn't have to be too complicated.
(plz i am suffering)
Answers
if the length of side PQ is 5 inches, what are the possible lengths of the other 2 sides?
Answers
You have been asked to make lemonade for this year’s Back to School Night. In order to make the lemonade taste irresistible, you will make 10- cup batches that consist of 50% water, 25% lemonade mix, 10% lemonade juice, and 15% sugar. You are supplied with 44 cups of mix, 80 cups of water, 36 cups of lemon juice, and 40 cups of sugar. Discover the maximum number of batches you can make with the given ingredients. Remember that each batch makes 10 cups.
Answers
Answer:
16 batches of lemonade
Step-by-step explanation:
each batch requires (10 cups of lemonade):
5 cups of water2.5 cups of lemonade mix1 cup of lemon juice1.5 cups of sugaryou are given:
80 cups of water ⇒ makes up to 16 batches44 cups of lemonade mix ⇒ makes up to 17.6 batches 36 cup of lemon juice ⇒ makes up to 36 batches40 cups of sugar ⇒ makes up to 26.67 batchesthe ingredient that determines the total amount of batches we can make is water which is enough to produce only 16 batches.
you would use:
80 cups of water (no water left)40 cups of lemonade mix (4 cups left)16 cups of lemon juice (20 cups left)24 cups of sugar (16 cups left)The function f(x) = −x2 + 60x − 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired. Determine the vertex, and explain what it means in the context of the problem. (30, 784); The vertex represents the maximum profit.
(30, 784); The vertex represents the minimum profit.
(2, 58); The vertex represents the maximum profit.
(2, 58); The vertex represents the minimum profit.
Answers
Answer:
Even tho the answer is not up there but its
(30, 784); The vertex represents the maximum profit.
Step-by-step explanation:
....
For the quadratic equation f(x) = -x^2 + 60x - 116, the vertex is (30, 784), and it is a maximum.
How to get the vertex?
For a general quadratic equation:
y = a*x^2 + b*x + c
The vertex is at the x-value:
h = -b/2a
To get the y-value, we evaluate the quadratic equation in h.
In our case, we have:
y = -x^2 + 60x - 116
Then:
h = -60/(2*-1) = 30
To get the y-value of the vertex, we evaluate in x = 30.
y = -(30)^2 + 60*30 - 116 = 784
And, as you can see, the leading coefficient of the quadratic equation is negative. This means that the arms open downwards, so the vertex is a maximum.
Then, concluding, the vertex is (30, 784), and it is a maximum.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
1) 3х • 3х
Can someone help please I don’t get this shiii
Answers
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Mary estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error for her estimate? (Hint: subtract and then divide by actual number)
Answers
Answer:
The percent error is 40%.
Step-by-step explanation:
5 (actual time) - 3 (estimated time) = 2
2 divided by 5 (actual time) = 0.4
0.4 x 100 = 40%
If (-3)^-5=x/1, what is the value of x?
Answers
Answer:
-1/243.
Step-by-step explanation:
(-3)^-5 = x/1
x = (-3)^-5
x = 1 / (-3)^5
x = 1 / -243
= -1/243.
whats,9 -3 x 9/4 + 257,
Answers
Answer:
[tex]9 - 3 * \frac{9}{4} +257\\[/tex] = [tex]\frac{1037}{4}[/tex]
Step-by-step explanation:
[tex]3*\frac{9}{4} =\frac{27}{4} \\\\=9-\frac{27}{4} +257[/tex]
Add the numbers: [tex]9+257=266[/tex]
[tex]=-\frac{27}{4} +266[/tex]
Convert element to fraction: [tex]266 = \frac{266*4}{4\\}[/tex]
[tex]=\frac{266 * 4}{4} -\frac{27}{4}[/tex]
Since the denominators are equal, combine the fractions: [tex]\frac{a}{c} \±\frac{b}{c} =\frac{a \± b}{c}[/tex]
[tex]=\frac{266*4-27}{4}[/tex]
[tex]266*4-27=1037\\\\=\frac{1037}{4}[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
The expression 9 - 3 * 9 / 4 + 257 equals 259.25.
To solve the expression 9 - 3 * 9 / 4 + 257, we follow the order of operations (PEMDAS/BODMAS):
Calculate the multiplication and division from left to right: -3 * 9 / 4.
-3 * 9 = -27.
-27 / 4 = -6.75.
Now, the expression is:
9 - 6.75 + 257.
Perform the addition and subtraction from left to right:
9 - 6.75 = 2.25.
2.25 + 257 = 259.25.
Therefore, the value of 9 - 3 * 9 / 4 + 257 is 259.25.
A flower bed in the shape of a rectangular prism is 10 feet long, 1 foot wide, and 0.5 foot deep.
Which measurement BEST represents the volume in the flower bed?
Answers
Answer:
it is 5 feet squared
Step-by-step explanation:
multiply them all
Answer:
5 cubic feet
Step-by-step explanation:
Given the function g(x) = 2(5x + 5) - (3x + 2), determine the value of x for which g(x) = 43?
Vgjvhkhj
Answers
Answer:
x = 5
Step-by-step explanation:
g(x) = 2(5x + 5) - (3x + 2) = 43
2(5x + 5) - (3x + 2) = 43
10x + 10 - 3x -2 = 43
7x + 8 = 43
7x = 43 - 8
7x = 35
x = 35/7
x = 5
d) I the length of the cable from L to E is 80 feet, E to the ground is 35 feet, and F to the ground is 40
feet, what is the length of the cable from Jto F?
Answers
The length of the cable from J to F is calculated by adding the length of the cable from L to E to the length from E to F which is difference in distance to the ground from E and F. The total length of the cable from J to F is 85 feet.
Explanation:
In this problem, we need to determine the length of the cable from J to F. To solve this, we will be using the principles of geometry. The cable from L to E to F forms a triangle. We know that the distance from L to E is 80 feet and that from E to F can be determined by subtraction, given that the distance from E to the ground is 35 feet and from F to the ground is 40 feet. From this information, we can get that the length from E to F is 5 feet. The total length from L to F (through E) is 80 feet + 5 feet, which equals 85 feet. Therefore, the length of the cable from J to F is 85 feet.
Learn more about Length Calculation here:https://brainly.com/question/15469997
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Alex and hope were trying to solve -6x > 24. Whose inequality shows the solution? Show your work.
(Alex's inequality is x > -4)
(Hope's inequality is x < -4)
Answers
Answer:
x>-4
Step-by-step explanation:
divide both sides by -6 without changing the sign
Help if you answer I’ll mark you brainliest
Answers
Answer:
I CAN'T SEE ANYTHING FROM THAT FAR SORRY BUT I WISH I COULD HELP YOU!!!
Step-by-step explanation:
(again sorry)!
Answer:
1 = 1.3
2 = 2.25
3 = 9/100
4 = 3/4
5 = 31
6 = <
Step-by-step explanation:
Hurry! Someone please help me I only have 5 minutes to do this quiz I don’t need you to show all your work just the answer because I may run out of time while your showing your work please only answer if you know your answer is 100% correct thank you!
Answers
Answer:
(x+x)(x+x+x)
Step-by-step explanation:
A lollipop weighs 1 ounce. Do 14 lollipops weigh more than 1 pound
Yes they do weigh 1 pound or No they don't weigh less than one pound
Answers
Answer:
they weigh less than a pound
Step-by-step explanation:
because 1 pound is equal to 16 ounces
estimate the value of 9.9 squared 2 x 1.79
Answers
Answer: 180
Step-by-step explanation: 9.9 squared by 1.79 is 180
A random survey of 500 people in North Carolina showed that 80 had taken a trip to the Great Smokey Mountains National Park within a year or less. In a random survey of 200 North Carolinians, how many could be predicted to have taken a trip to the Great Smokey Mountains within a year or less?
a. 16
b. 32
c. 48
d. 80
(with explanation)
Answers
Answer:
B
Step-by-step explanation:
500 divided by 200 = 2.5
80 divided by 2.5 = 32
Plz plz and explain please
Answers
Answer:
Yes, because 3/4 is bigger then 1/2 so there is more then 1 in there. The expression 1/2 divided by 3/4 is smaller then 1 because 3/4 is already bigger so you can't fit one in. Without using fractions it is like 3/2 is bigger then 1 since 2 is smaller then 3. 2 divided by 3 is less because 3 is bigger so you can't fit the 3 in a 2.
Hope this helps
Step-by-step explanation:
of all the mutations, we can conclude that one mutation would MOST LIKELY contribute to a rapid rate of extinction. That is
A) blindness
B) paddle hands
C) no peripheral vision
D) fused hands, no range of motion
Answers
Answer:blindness I did it
Step-by-step explanation:
Blindness is likely the one mutation, that contributes to a rapid rate of extinction. Option A is correct.
Any change in a cell's DNA sequence. Mutations can be generated by errors during cell division or by exposure to DNA-damaging substances in the environment.
Here,
The most frequent kind, red-green color blindness, is caused by a genetic mutation on the X chromosome that is passed on to children. At fertilization, an egg has an X chromosome, and a sperm cell can have either an X or a Y chromosome.
Thus, Blindness is likely the one mutation, that contributes to a rapid rate of extinction. Option A is correct.
Learn more about mutation here:
https://brainly.com/question/17130462
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A restaurant offers four sizes of pizza, two types of crust and eight toppings how many possible combinations of pizza with one topping are there
Answers
Answer:
64
Step-by-step explanation:
You know that:
there are four different sizes of pizza
two types of crust
and eight toppings
With a one-topping pizza, all you have to do is multiply 4 by 2 and then by 8
If it helps to branch it all out so you can visually see it, that would be a great idea
But in short, 4x2x8 is 64, so there are 64 combinations
:)
Final answer:
The number of possible pizza combinations with one topping is 64, calculated by multiplying the number of sizes, crust types, and toppings available, which are 4, 2, and 8 respectively.
Explanation:
To determine the number of possible combinations for a pizza with one topping, we apply the Fundamental Principles of Counting and use the Multiplication Principle.
Since there are four sizes of pizza, two types of crust, and eight toppings, we multiply these numbers together.
The calculation would be as follows:
Number of sizes = 4Number of crust types = 2Number of possible single toppings = 8Therefore, the number of possible pizza combinations with one topping is:
4 (sizes) x 2 (crust types) x 8 (toppings) = 64 combinations.