Answer:
3.88 feet
Step-by-step explanation:
let the length the ladder reaches be x
[tex] \tan(57) = \frac{x}{8} [/tex]
[tex]x = 8 \tan(57) [/tex]
x = 3.8775938143
BRAINLIEST, 5 STARS & THANKS IF ANSWERED CORRECTLY
Find the 22nd term:
10.5, 11, 11.5, 12, 12.5...
Answer:
21
Step-by-step explanation:
This is an arithmetic sequence with a₁ (first term) = 10.5 and d (common difference) = 11 - 10.5 = 0.5
Explicit formula for arithmetic sequences: aₙ = a₁ + (n - 1) * d
Therefore, aₙ = 10.5 + (n - 1) * 0.5 = 0.5n + 10 so a₂₂ = 0.5 * 22 + 10 = 21.
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
1.) 10.5
2.) 11
3.) 11.5
4.) 12
5.) 12.5
6.) 13
7.) 13.5
8.) 14
9.) 14.5
10.) 15
11.) 15.5
12.) 16
13.) 16.5
14.) 17
15.) 17.5
16.) 18
17.) 18.5
18.) 19
19.) 19.5
20.) 20
21.) 20.5
22.) 21
Hope this helped!! ٩(◕‿◕｡)۶
a fish weighs 2 kg plus half of its weight. what is the total weight of the fish
Answer:
4kg
Step-by-step explanation:
...../...../
2kg + half of its weight
so half of its weight = 2kg
so 2kg + 2kg= 4kg the weight of the fish
Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
Will mark brainlist if it correct and well explained
Answer:
It takes Carrie and James an hour and a half to finish the job.
Step-by-step explanation:
assuming they have to inspect ONE case of watches.
Carrie can inspect 1/5 case in one hour.
James can inspect 1/3 case in one hour.
Carrie worked alone for 1 hour, so she finished 1/5 of a case.
She leaves 4/5 case to finish.
She had lunch.
After that, Carrie and James worked together for x hours to finish the job.
When they work together, the finish 1/5+1/3 = 8/15 case per hour.
So time to finisher the remaining case
Time = 4/5 / (8/15)
= 4/5 * 15/8
= 3/2 hours
= an hour and a half.
Chelsea is solving a quadratic equation. She wants to find the value of x by taking the
square root of both sides of the equation. Which equation allows her to do this?
x2 + 10x + 16 = 25
x2 + 12x + 36 = 17
X2 + 5x + 25 = 64
x2 + 16x + 4 = 18
Step-by-step explanation:Step-by-step explanation:
For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:
(x + a) ² = b
'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.
So, she can take square roots of both sides then, like this
√(x + a)² = √b
x + a = ±√b
x = -a ± √b
Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.
It is the nature of the problem being solved that determines if we take just one or both of these answers.
Find the area of the shape shown below.
Answer:
12 is the total areaStep-by-step explanation:
A of triangle = 1/2 * b * h
b = 6
h = 2
2 * 6 * 0.5
= 12 * 0.5
= 6A of square = l * w
2 * 2
= 4A of Triangle = 1/2 * b * h
2 * 2 * 0.5 =
4 * 0.5
= 22 + 4 + 6
= 6 + 6
= 12Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
A. Sam is an orange belt or Kate a red belt.
B. Sam is not a red belt and Kate is not an orange belt.
C. Sam is not an orange belt and Kate is not a red belt.
D. Sam is not a red belt or Kate is not an orange belt.
E. Sam is not an orange belt or Kate is not a red belt.
Answer:
C. Same is not an orange belt and Kate is not a red belt.
Step-by-step explanation:
The negation for the statement is Sam is not an orange belt or Kate is not a red belt.
What is Negation of De- Morgan's Law?The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.
Given statement:
Sam is an orange belt and Kate is a red belt.
Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."
So, the negation statement would be
Sam is not an orange belt or Kate is not a red belt.
Learn more about De Morgan's laws here:
https://brainly.com/question/13317840
#SPJ2
What is the measure of Angle D F E? Triangle D E F. The exterior angle to angle F is 142 degrees. 38 degrees 52 degrees 118 degrees 142 degrees
as the exterior angle is known
sum of that angle and f angle = 180
142 + f = 180
f = 180 - 142
f = 38
Answer:
38
Step-by-step explanation:
Add the angle and f angle (180)Now add 142 + f = 180 Now subtract 180 - 142 (= f) Finally you get your answer 38Hope this helps you :)
what is the measures of ∠x
Answer:
x = 64
Step-by-step explanation:
∠ HIA and ∠ LJK are corresponding angles and congruent, thus
∠ HIA = 60°
The sum of the 3 angles in Δ HIA = 180° , thus
x = 180 - (60 + 56) = 180 - 116 = 64
80 people took a driving test. 70 of them passed the test. What percentage failed the test?
Answer:
12.5% failed
Step-by-step explanation:
Convert the fraction 10 out of 80 into a decimal to become the percentage
Answer: 87.5% failed driving test is 12.5%
Step-by-step explanation:
A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diagram with gravel.
30 ft.
21 ft.
13 ft.
57 ft.
27 ft.
52 ft.
The area that Adam plans to cover with gravel is
weight of gravel on the roof will be
If the weight of the gravel is 12 pounds per square foot, the total
ling
2,702 square feet
Next
2,374 square feet
2,222 square feet
2,031 square feet
Answer:
[tex] Area = 2,031ft^2 [/tex]
Total weight of gravel on the roof = [tex] 24,372 pounds [/tex]
Step-by-step Explanation:
The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.
We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.
Area of rectangle = L*W
Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area to be covered with gravel = [tex] (30*17) + (13*9) + (52*27) [/tex]
[tex] Area = (30*17) + (13*9) + (52*27) = 2,031ft^2 [/tex]
Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = [tex] 12 * 2031 = 24,372 pounds [/tex]
Answer:
2031 and 16925
Step-by-step explanation:
What the answer question now
Answer:
UW=41
Step-by-step explanation:
the tangent line and the radius always meet at a right angle(90 degrees)
UWV is a right angle triangle, apply the Pythagorean theorem:
a²+b²=c² (a=40, b=9, c=UW)
40²+9²=c²
c=√40²+9²=√1600+81=√1681
c= 41
What is the measure of each interior angle of a regular nonagon (nine-sided polygon) ? 2 points 60° 120° 140° 40°
Answer:
the answer is to your question is 140
Answer:
140°
Step-by-step explanation:
9 - 2 = 7
7 x 180= 1260° (sum of all interior angles)
1260 ÷ 9= 140° (measure of one interior angle)
Ans with steps.. Tysm Plzz asap!!
Answer:
10x^2 + 8x
Step-by-step explanation:
Area of the outer rectangle = 5x(3x + 2) = 15x^2 + 10x
Area of the inner rectangle = x(5x - 2) = 5x^2 - 2x
Area of the shaded region = (15x^2 + 10x) - (5x^2 - 2x)
= 10x^2 + 8x
5x(3x + 2) - x(5x - 2) required expression.
Step-by-step explanation:
I get there are 2 rectangles in figure.
How can I get the area of shaded region? What if, I subtract the area of inner rectangle from outer rectangle. Ya It will surely work (⌒o⌒).
Now,
Area of outer rectangle = [tex]\sf length \times breadth[/tex]
[tex]5x \times (3x + 2)[/tex]
[tex]5x(3x + 2)[/tex]
Again,
Area of inner rectangle = [tex]\sf length \times breadth[/tex]
[tex]=x \times (5x - 2)[/tex]
[tex]=x(5x - 2)[/tex]
[tex] \sf Area \:of \:Shaded\: region = \: Area_{\:outer}-Area_{\:inner}[/tex]
[tex] \sf \: 5x(3x + 2) - x(5x - 2)[/tex]
If We simplify further then,
= 15x² + 10x - 5x² + 2x
= 10x² + 12x
Area of shaded region is 10x² + 12x in a simple way.
Use the quadratic form to solve 6x^2+3x+2=0.
Answer:
Hello!!...
I hope its helpful to you...
In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing
Answer:
(-5,0)
Step-by-step explanation:
In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number
For Decreasing:
(-8,-5)
(4,8)
For Increasing:
(-5,0)
Colin leaves school to go home. He walks 3 blocks south and then 9 blocks west. If Colin could walk in a straight line to the school, what is the exact distance between Colin and the school?
Answer:
9.48*
Step-by-step explanation:
This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :
3^2 + 9^2 = C^2
9 + 81 = C^2
90 = C^2
9.48 = C
* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.
Answer:
The answer would be A. 3√10 blocks
Step-by-step explanation:
I have had this question and its 3√10 blocks.
Hope this helps you other people :))
Based on the table, which best predicts the end
behavior of the graph of f(x)?
As x, f(x) —, and as x->-0, f(x) →..
As x 700, f(x) →, and as x -→-00, f(x) →--.
As x, f(x) →-00, and as x———00, f(x)
As x -+-0, f(x) →-00, and as x->-00, f(x) -
->
-→-00
Answer:
The correct option is;
As x → ∞ f(x) → -∞, and as x → -∞ f(x) →∞
Step-by-step explanation:
The values given are;
x, f(x)
-4, 18
-3, 9
-2, 6
-1, 3
0, 0
1, -3
2, -6
3, -9
4, -18
Based on the table, as the magnitude of x increases in the positive direction, the magnitude of f(x) increases in the negative direction
Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and as x → -∞ f(x) →∞.
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 3.5?
Perimeter = 98 cm, area = 588 cm2
Perimeter = 42 cm, area = 109.25 cm2
Perimeter = 42 cm, area = 588 cm2
Perimeter = 98 cm, area = 109.25 cm2
Answer:
first option
Step-by-step explanation:
After it's enlarged, the new dimensions will be 6 * 3.5 = 21 and 8 * 3.5 = 28, therefore, the new perimeter will be 2(21 + 28) = 2 * 49 = 98 and the area will be 21 * 28 = 588.
Does this table represent a function? Why or why not?
Answer:
A Yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
A function has a one to one correspondence, or every x goes to only one y value
Since each x goes to only 1 y value this is a function
Answer: It is a function
Step-by-step explanation:
One way to tell if it is a function or not, is to look at the X and Y. While 2 different X values can get the same Y value, one X value should not have 2 different Y values. In the table you can see, there are no repeating X values that have different Y values.
EXAMPLES:
(14, 15)
(13,15)
If these two showed up in a table, it could still be a function
(14, 15)
(14, 16)
If these pairs showed up in a table, than it would not be considered a function
Find the x-intercepts of the graph
Answer:
(1,0) and (3,0)
Step-by-step explanation:
y=x^2-4x+3
To factor we need to know what numbers add up to -4 and multiply will equal to 3.
y=(x-3)(x-1)
The zeroes would be 3 and 1.
x=3 so y=0 for (x-3)
x=1 so y=0 for (x-1)
If right pls give me brainliest thank you.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
[tex]y=x^2-4x+3[/tex]
Plug y as 0 to find the x-intercepts.
[tex]0=x^2-4x+3[/tex]
Factor right side.
[tex]0=x^2-1x-3x+3[/tex]
[tex]0=x(x-1)-3(x-1)[/tex]
[tex]0=(x-1)(x-3)[/tex]
Set factors equal to 0.
[tex]x-1=0\\x=1\\x-3=0\\x=3[/tex]
x=1 or x=3 when y=0
Help me with this please. I typed it on my iPad
If the perimeters of each shape are equal, which equation can be used to find the value of x? A)(x+4)+x+(x+2)=1/2x+(x+3) B)(x+2)+x+(x+4)=2(1/2x)+2(x+3) C)2 (x) + 2 (x + 2)=2(1/2 x) + 2(x+3) D)x + (x + 2) + (x + 4) =2 (x + 3 1/2)
(x+2) + x + (x+4) = 2(1/2) + 2(x+3)
Step-by-step explanation:
They are equal to each other and the rectangle has 2x more perimeter
The triangle would be divided in half from that rectangle.
A school counselor surveyed 90 randomly selected students about thé langages they speak. Of thé students surveyed 16 speak more than one langage fluently. Bases on thèse résults, How many of thé 1800 students at thé school can be expected to speak more than one langage fluently
Answer: 320 students
Step-by-step explanation:
From the question, we are informed that a school counselor surveyed 90 randomly selected students about thé langages they speak and thé students surveyed 16 speak more than one langage fluently. This means that 16/90 speak more than one language.
When 1800 students are surveyed, the number of students that can be expected to speak more than one langage fluently will be:
= 16/90 × 1800
= 16 × 20
= 320 students
Find the measure of arc JKM if angle KLM = 50 degrees.
Answer:
180°
Step-by-step explanation:
Answer:
180 = arc JKM
Step-by-step explanation:
Angle JM is a straight line so the angle is 180
Central Angle = Intercepted Arc
angle JM = arc JKM
180 = arc JKM
Identify the point corresponding to Q.
A (-3,-2)
B (1,-1)
C (-3,2)
D (-2,-1)
Answer:
C (-3,2)
Step-by-step explanation:
Well point Q on the parabola is located on point (1,2),
The corresponding point means the point located all the way to the left of Q which is (-3,2).
Thus,
the point that is corresponding to point Q is C. (-3,2).
Hope this helps :)
Please help me asap!!!
Answer:
HL theorem
Step-by-step explanation:
Since this is a right triangle, we can use the HL ( hypotenuse leg theorem)
We know that one of the legs are equal to each other by the lines on the legs and the hypotenuse is congruent by the reflexive property
Please answer it now in two minutes
Answer:
Area = 19.9 mm²
Step-by-step explanation:
Step 1: Find Angle V.
m < V = 180 - (131 + 27) (sum of angles in a triangle)
V = 22°
Step 2: Find UW using the law of sines.
[tex] \frac{UW}{sin(V)} = \frac{UV}{sin(W)} [/tex]
Plug in your values
[tex] \frac{UW}{sin(22)} = \frac{8}{sin(27)} [/tex]
Multiply both sides by sin(22) to solve for UW
[tex] \frac{UW*sin(22)}{sin(22)} = \frac{8*sin(22)}{sin(27)} [/tex]
[tex] UW = \frac{8*sin(22)}{sin(27)} [/tex]
[tex] UW = 6.6 mm [/tex]
Step 3: Find the area of ∆UVW
Area = ½*UW*UV*Sin(U)
Area = ½*6.6*8*sin(131)
Area = 3.3*8*sin(131)
Area = 19.9 mm² (to the nearest tenth)
Which pairs of events describe independent events?
Answer:last one is the correct ans...
Step-by-step explanation:
Pleased to help u....
SOMEONE PLEASE HELPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11
The red graph is the black graph reflected in the y axis, y = f(-x)
It's an odd way to write it, but the answer is:
Answer: D
PLZZ HELP Fill in the blank with the correct response. The slope of the graph of y = x is ___a0.
Answer:
1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x ← is in slope- intercept form
with slope m = 1
Answer:
1
Step-by-step explanation: