Answer:
The two consecutive integers are 18 and 19.
When a stepladder is placed as shown, is it possible for the lower ends of the ladder to be 12 feet apart? Explain
Answer:
No, with the guides in between the two ladders, it is not possible for the lower ends of the ladder to be up to 12 feet apart
Step-by-step explanation:
The given parameters are;
The length of two sides of the step ladder = 12 feet
The maximum value allowable for the included angle between the two 12 feet ladders = 58°
Therefore, the maximum value of the third side facing the included angle is given as follows;
let "a" represent the maximum value of the third side formed by the distance apart of the lower end of the ladder, by cosine rule, we have;
a² = 12² + 12² - 2 × 12 × 12 × cos(58°) = 135.383251901
∴ a = √(12² + 12² - 2 × 12 × 12 × cos(58°)) ≈ 11.64
The maximum value of the third side formed by the distance apart of the lower end of the ladder = a ≈ 11.64 feet < 12 feet
Therefore, it is not possible for the lower ends of the ladder to be up to 12 feet apart.
What do angles in a circle and trinagle add up too?
Answer:
180° and 360°
Step-by-step explanation:
triangle = 180°
circle = 360°
PLEASEEEE PLEASE HELP!!
It should be C can u help me with one i posted????
PLEASE HELP QUICKLY
Jung started walking to his school at 7am. After walking half a mile he thought
that he had forgotten his Chromebook so he stopped to check his backpack. It
was in his bag but he had to make up for lost time so he jogged the rest of the
way to school. What was his average speed in miles per minute? *
Answer:
He ran one mile in 20 minutes
Step-by-step explanation:
Half a number plus 2.5 times that number equals 18. What is the number?
Answer:
It's 6.
Step-by-step explanation:
this was so confusing
A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answer:
[tex]7.7[/tex] km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of [tex]6.6[/tex] km and [tex]3.9[/tex] km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, [tex]a^{2}+b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the lengths of the triangle's legs and [tex]c[/tex] is the length of the triangle's hypotenuse. In this case, we know what [tex]a[/tex] and [tex]b[/tex] are, and we need to solve for c, so after substituting the given values of [tex]a[/tex] and [tex]b[/tex] into [tex]a^{2}+b^{2} =c^{2}[/tex] to solve for c, we get:
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]6.6^{2} +3.9^{2} =c^{2}[/tex] (Substitute [tex]a=6.6[/tex] and [tex]b=3.9[/tex] into the equation)
[tex]43.56+15.21=c^{2}[/tex] (Evaluate the squares on the LHS)
[tex]58.77=c^{2}[/tex] (Simplify the LHS)
[tex]c^{2}=58.77[/tex] (Symmetric Property of Equality)
[tex]\sqrt{c^{2} } =\sqrt{58.77}[/tex] (Take the square root of both sides of the equation)
[tex]c=7.7,c=-7.7[/tex] (Simplify)
[tex]c=-7.7[/tex] is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately [tex]7.7[/tex] km away from its base. Hope this helps!
How do I calculate the linear scale factor for this dilation?
Answer:
dilation scale factor calculator maybe could help
Step-by-step explanation:
Interest = $45
Principal = ?
Interest rate = 3%
Time = 2 years
Step-by-step explanation:
done
..................
What is this answer helpppppppppo
Answer: the answer is 73.5 but it is not here so I think 89 is the
Step-by-step explanation:
Answer:
The answer is 149
Step-by-step explanation:
So 2 oranges added up is 56 which is basically
x+x=56
2x=56
56/2=28
Each orange is worth 28
The 2 triangles multiplied are 81 which is
x*x=81
x^2=81
√81=9
Each watermelon Is worth 9
The 3 stars added up are
x+x+x=15
3x=15
15/3=5
Each star is worth 5
So the final equation if you plug in what we know
9+28*5
So orders of operations, (Parenthesis, exponents, etc.)
So multiplication is first
28*5=140
And add
140+9=149
So final answer 149
y=3/4x+1
y+1/4x+3
pls help solve for x and y
Answer:
x+y+3 or 1x+1y+3
Step-by-step explanation:
3/4x+1/4x+1y+3
3/4x+1/4x=1x
1x+1y+3
You can't do x+y+3 so it stays x+y+3. Hope this helps.
HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/3 an ounce per second.
Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.
1) Graph this situation on
2) What does the graph tell you about the situation and how many solutions there are?
Answer:
ok so the graph tells you 24 seconds by 4 ounces
Step-by-step explanation:
The point where both lines meet is the point where they are both equal.
The point where both lines meet is (24,4)
Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.
Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.
What is the distance between the points? Round to the nearest 10th if necessary
Answer:
5\sqrt(5) or about 11.2
Step-by-step explanation:
The change in x is 5, the change is y is 10.
Using the pythagorean theorem, the distance is
\sqrt(25+100) = \sqrt(125) = 5\sqrt(5) or 11.2
Rectangle RSTU and the image R’S’T’U’ are graphed on the coordinate grid below.
On a coordinate plane, rectangle R S T U has points (1, 1), (1, 4), (5, 4), (5, 1). Rectangle R prime S prime T prime U prime has points (negative 1, 1), (negative 4, 1), (negative 4, 5), (negative 1, 5).
Which statements describe the rotations about the origin that could have transformed RSTU to R’S’T’U’? Check all that apply.
Answer:
all but 180 abce 1235
Step-by-step explanation:
Answer:
A,B,C,D
Step-by-step explanation:
Find the solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, -1)
Thank you!´・ᴗ・`
Slove using substitution
Y= 2x + 1
3x + y = 11 Step by step explanation
Answer: x = 2 and y = 5
Step-by-step explanation:
y = 2x + 1
3x + y = 11
Substitute
3x + (2x + 1) = 11
5x + 1 = 11
Subtract both sides by 1
5x = 10
Divide both sides by 5
x = 2
y = 2x + 1
Substitute
y = 2 (2) + 1
y = 4 + 1
y = 5
PLZ HELP QUICK!!!
Catherine runs 7 miles each day. How many days will it take her to run 60 miles?
A. 7 days
B.
8 days
0
9 days
D. 10 days
Answer:
9-8
Step-by-step explanation:
60 divided by 7 is 8.5
solve for x.
this is for the k12 test.
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
[tex]\sqrt{10x+50}=x+5\\\\(\sqrt{10x+50})^2=(x+5)^2\\\\10x+50=x^2+10x+25\\\\0=x^2+10x-10x+25-50\\\\0=x^2-25\\\\0=(x-5)(x+5)\\\\x=5\\\\x=-5[/tex]
now trying for the original equation
[tex]\sqrt{10(5)+50}=5+5\\\\\sqrt{50+50}=10\\\\\sqrt{100}=10\\\\10=10[/tex]
and
[tex]\sqrt{10(-5)+50}=-5+5\\\\\sqrt{-50+50}=0\\\\\sqrt{0}=0\\\\0=0[/tex]
so it's option D
Please help me, tell me how you got it and the correct answer
Answer:
1) 1/6
1/6 because every 6 jeans 1 is defective
2) About 15 will be defective
SO the probalitly is 1/6
SO multiply by the total
90*1/6=15
So 15 will be defective
Help ASAP .............
Answer:
4ab²
Step-by-step explanation:
4 a¹ b₂
Evaluate x3+16÷4 for x=2.
A) 8
B)12
C)5
D)6
The value of the expression (x³+16) ÷4 is equal to 12. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (x³+16) ÷4. The value of x is equal to 2. The expression will be solved as below,
E = (x³+16) / 4
E = 2³ + 16 / 4
E = 8 + 16 / 4
E = 8 + 4
E = 12
To know more about an expression follow
https://brainly.com/question/10757900
#SPJ2
Evaluate (−2)6
Enter your answer in the box.
Answer:
-12
Step-by-step explanation:
two times negative six is basically -(2x6) which is -12
I hope this helped, please give brainliest if this is correct! Thank you!
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?
Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8
Answer:
its A or B i think
Step-by-step explanation:
Please help im lost and dont understand this
Answer:
multipy them
Step-by-step explanation:
There are a total of 34 lions and hyenas. Each lion eats 4 antelope. Each hyena eats 3 antelope. 117 antelope are eaten in total. Find the number of Lions and hyenas.
Answer:
15 Lions and 19 Hyenas
Step-by-step explanation:
Just got out a calculator, checked my answer and it's correct.
Help me help me help me help me help me help me help me help me help me help me help me help me help me help
Answer:
2
Step-by-step explanation:
I need help lol haha hahahahahhahhahahhahahah
Answer:
y=3x+10
Step-by-step explanation:
When two lines are parallel they are going to have the same slope which is 3x. The only thing we need to find is the y intercept based on the point they say the equation passes. to do this you take away the y intercept of the equation that we have and replace x with -2 and the subtract 4 to the side with the y.. now we have 4-y=-6 Then we solve for y and get y=10 which is the y intercept of the equation that is parallel to y=3x=1 and it passes (-2,4) Therefore the answer is y=3x+10
X/3 = 8/y I need to know x and y
Answer:
y= 8/3
Step-by-step explanation:
A school is building a rectangular stage for its chorus. The stage must have a width of 4 feet. The area of the stage must be at most 24 square feet. (These are rules of the local fire department.) Write an inequality that describes the possible lengths (in feet) of the stage.
Answer: Length ≥ 6 feet
Step-by-step explanation:
The area of a rectangle= length × width
In this case, the width is 4 feet and the area of the stage must be at most 24 square feet.
The inequality that describes the possible lengths (in feet) of the stage would be:
Length × Width ≥ 24
Length × 4 ≥ 24
Length ≥ 24/4
Length ≥ 6
Therefore, the length must be at most 6 feet.
Determine the rate of change (slope) in the graph
Answer:
2
Step-by-step explanation:
Rise = 2
Run = 1
2/1 = 2
75 into the ratio of 4:5
Answer:
4.7
Step-by-step explanation: