Answer: 10
Step-by-step explanation:
its 10 x
may 27, 28, 29, 30, 31, june 1, 2, 3, 4, 5,
1. 2. 3. 4. 5. 6. 7 8 9. 10
The Americans with Disabilities Act requires that wheelchair ramps have at least a 12 -inch run for each rise of 1 inch.
b. The maximum length that the law allows for a ramp is 30 feet. How many inches tall is the highest point of this ramp?
The highest point of this ramp will be at 30 inches.
It is given that Wheelchair ramps have at least a 12 -inch run for each rise of 1 inch and Max length for a ramp is 30 feet.
We have to find the highest point of ramp in inches.
What will be the value of 10 feet in inches ?
As we know that 1 feet = 12 inches , the value of 10 feet in inches will be ; 10 × 12 inches or 120 inches.
As per the question ;
Wheelchair ramps have at least a 12 inch run for each rise of 1 inch.
Max length for a ramp = 30 feet
or
Max length for a ramp = 30 × 12 inches
or
Max length for a ramp = 360 inches
The highest point of this ramp will be at ;
= 360 ÷ 12
= 30 inches
Thus , the highest point of this ramp will be at 30 inches.
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Solve the inequality.
x+13<41
For the given inequality x+13<41, x is less than 28
Inequality involves two algebraic expressions linked by the signs of inequality. These signs include less than (<), greater than (>) or less than equal to (<=) and greater than equal to (>=).
Let's solve the inequality
x+13<41
Move the like terms on the same side
x< 41-13
x< 28
Therefore, x is less than 28
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Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning. (Lesson 7-2).
An equilateral triangle and a scalene triangle
The given polygons that is an equilateral triangle and scalene triangle can never be similar ,as it is not possible to map equilateral triangle onto scalene triangle or vice-versa.
As given in question,
Given polygons are equilateral triangle and scalene triangle
An equilateral triangle never similar to scalene triangle.
Reason:
All sides of equilateral triangle are equal where as all sides of scalene triangle are not equal.Using transformation dilations and rigid it is not possible to map equilateral triangle onto scalene triangle or vice-versa.Therefore, the given polygons that is equilateral triangle and scalene triangle can never be similar.
The complete question is:
Determine whether the given polygons are always, sometimes, or never similar. Explain your reasoning.
An equilateral triangle and a scalene triangle
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Is the relation a function… yes or no?
Answer: Functions are relations with one output for any unique input.
Step-by-step explanation:
Express 48 as sum of two odd prime
Answer:
19 , 29
Step-by-step explanation:
19 + 29 = 48
mark brainiest pls
8) Sam's test score is between 100 and 107. His friend Tammy scored about 15 less points.
Part A
Write a compound inequality that describes Tammy's test score x.
Part B
How much did Tammy score?
The compound inequality that describes Tammy's test score x 85 < x < 92 and Tammy's test score is between 85 and 92
Part A: Write a compound inequality that describes Tammy's test score x.The given parameters are
Sam's test score is between 100 and 107
This means that
100 < Sam's score < 107
From the question, we have:
Tammy scored about 15 fewer points.
This means that
Tammy = Sam - 15
So, we have
Sam = Tammy + 15
Where
Tammy = x
This gives
Sam = x + 15
So, we have
100 < x + 15 < 107
Subtract 15 from the sides of the inequality
So, we have
85 < x < 92
This means that the compound inequality that describes Tammy's test score x 85 < x < 92
Part B: How much did Tammy score?In part (a) of this solution, we have the following compound inequality
85 < x < 92
The above compound inequality means that Tammy's test score is between 85 and 92
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I WILL GIVE U EXTRA BRAINLY POINTS!!
i don't understand this please help :)
Two angles are supplementary is the measure of one angle is 54.3 degrees what is the measure of the other angle? Answer to the first decimal place, ie 79.5.
Answer: 125.7 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees.
angle 1 + angle 2 = 180
54.3+angle 2=180.0
54.3-54.3+angle 2=180.0-54.3
angle 2=180.0-54.3
angle 2=125.7 degrees
What is the measure of 24 in the triangle shown?
32°
117°
22
148
The sum of three angles of a triangle is 180° . 32° is the angle at 24 when other two angles are 85° and 63°.
What is angle sum property?The sum of three angles of a triangle is 180° .
Given two angles of a triangle are 85° and 63°. We need to find the third angle at 24.
The angle at 24 be x.
By angle sum property,sum of three angles of a triangle is 180°.
The two angles are 85° and 63° and third angle is x.
85°+63°+x=180°
148°+x=180°
x=180°-148°
x=32°
Therefore the angle at 24 is 32° when other two angles are 85° and 63°.
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Find the geometric mean between pair of numbers.
7 and 11
The geometric mean between pair of numbers 7 and 11 is 8.77
We know that for a sequence of numbers x1, x2,.., xn
The formula of geometric mean is,
[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]
In this question, we have been given two numbers 7 and 11
We need to find the geometric mean between pair of numbers, 7 and 11.
Using the formula for the geometric mean,
[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]
In this question, we have two numbers.
So, the value of n is 2.
[tex]\Pi=\sqrt{7\times 11}\\\\ \Pi=\sqrt{77}\\\\ \Pi=8.77[/tex]
Therefore, the geometric mean between pair of numbers 7 and 11 is 8.77
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Find the coordinates of the midpoint of a segment with the given endpoints. A(13,14), C(3,5)
The coordinates of the midpoint of a segment with the given endpoints will be (8, 9.5).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints are A(13, 14) and C(3, 5).
Then the coordinates of the midpoint of a segment with the given endpoints will be
(x, y) = [(13 + 3) / 2, (14 + 5) / 2]
(x, y) = (16/2, 19/2)
(x, y) = (8, 9.5)
The coordinates of the midpoint of a segment with the given endpoints will be (8, 9.5).
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if g(x)=3x+7 what is g(4b) show your thinking
Answer: g(4b)=12b+7
Step-by-step explanation:
g(x)=3x+7
g(4b)=3(4b)+7
g(4b)=12b+7
A triangle has side lengths of (8w + 8x) (8w+8x) centimeters, (3w + 10y) (3w+10y) centimeters, and (4y + 8x) (4y+8x) centimeters. which expression represents the perimeter, in centimeters, of the triangle?
The expression that represents the perimeter of the triangle in centimeters is; 73[tex]w^{2}[/tex] + 128wx + 128[tex]x^{2}[/tex] + 60wy + 116[tex]y^{2}[/tex] + 64xy
We are given the measurement of each side length of the triangle, i.e.
(8w +8x) (8w+8x)
(3w + 10y) (3w+10y)
(4y + 8x) (4y+8x)
After simplifying the measurement on each side, we get;
(8w +8x) (8w+8x)= 64[tex]w^{2}[/tex] + 128wx + 64[tex]x^{2}[/tex]
(3w + 10y) (3w+10y)= 9[tex]w^{2}[/tex] +60wy +100[tex]y^{2}[/tex]
(4y + 8x) (4y+8x)= 16[tex]y^{2}[/tex] + 64xy + 64[tex]x^{2}[/tex]
To find the perimeter of the triangle, we get the addition of all side lengths
Thus, Perimeter (P) = 64[tex]w^{2}[/tex] + 128wx + 64[tex]x^{2}[/tex] + 9[tex]w^{2}[/tex] +60wy +100[tex]y^{2}[/tex] + 16[tex]y^{2}[/tex] + 64xy + 64[tex]x^{2}[/tex]
P= 73[tex]w^{2}[/tex] + 128wx + 128[tex]x^{2}[/tex] + 60wy + 116[tex]y^{2}[/tex] + 64xy
Therefore, the perimeter of the triangle is given by; 73[tex]w^{2}[/tex] + 128wx + 128[tex]x^{2}[/tex] + 60wy + 116[tex]y^{2}[/tex] + 64xy
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The circle below is centred at O.
a) Work out the size of angle x.
b) Which of the circle theorems below allows
you to calculate this angle?
x
27°
Not drawn accurately
The angle at the circumference in a semicircle is a right angle
Opposite angles in a cyclic quadrilateral add up to 180°
The angle between the tangent and the radius at a point
on a circle is 90°
The perpendicular line from the centre of a circle to a chord
bisects the chord
Two tangents that meet at a point are the same length
Answer:
[tex]\textsf{a)} \quad x = 63^{\circ}[/tex]
[tex]\textsf{b)} \quad \boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]
Step-by-step explanation:
Part (a)The triangle inside the circle is an isosceles triangle, since two of its sides are the radius of the the circle (and therefore equal in length).
Therefore, its two base angles are 27°.
A tangent is a straight line that touches a circle at only one point.
The tangent of a circle is always perpendicular to the radius.
[tex]\implies x + 27^{\circ} = 90^{\circ}[/tex]
[tex]\implies x +27^{\circ}-27^{\circ}= 90^{\circ} - 27^{\circ}[/tex]
[tex]\implies x = 63^{\circ}[/tex]
Part (b)The circle theorem that allows the calculation of angle x is:
[tex]\boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]
simplify x+2/x^2+2x-3/x+2/x^2-x
-12x - 17 = -89
i neeeed help
Answer:
x = 6
Step-by-step explanation:
- 12x - 17 = - 89 ( add 17 to both sides )
- 12x = - 72 ( divide both sides by - 12 )
x = [tex]\frac{-72}{-12}[/tex] = 6
Explain a strategy you use to identify a pattern.
A good way to find patterns in data is to arrange it in tabular form, which acts as an "input-output" machine.
What strategy do you use to identify a pattern?A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements. Any kind of event or object can be connected to the Pattern.
A pattern is referred to as a rule or a way in which a group of numbers is related to one another. Sometimes a pattern is also referred to as a sequence.
Putting data into a tabular format, which functions as an "input-output" computer, is a useful way to find patterns. It will process an input value, return an output value, and take another value as an input.
The table's process column will make it easier to comprehend how input and output are related.
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Read the question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
Suppose one base angle of an isosceles triangle has a measure of 44°. What is the measure of the vertex angle?
a. 108°
b. 92°
c. 56°
d. 44°
The measure of the vertex angle is 92°
Here,
The triangle is isosceles and one base angle of an isosceles triangle has a measure of 44°
We have to find the measure of the vertex angle.
What is Isosceles triangle?
A triangle is said to be isosceles if there is any two corresponding sides are equal and there angle are equal.
Now,
The triangle is isosceles triangle.
Hence, there corresponding sides and there angles are equal.
So, Both base angles of a triangle are equal.
And, Sum of angles of a triangle are 180°
Let the measure of the vertex angle is x°
Hence,
⇒ 44° + 44° + x° = 180°
⇒ x° = 180° - 88°
⇒ x° = 92°
Therefore, The measure of the vertex angle is 92°
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If x varies partly as y and partly as the square of y when y =2,x=5 bad when y=5,x=57.5 find x when y =4
The value of x when y = 4 is 0. 25
How to determine the valueFrom the information given, we have that;
x varies directly as yx also varies partly as y²This is expressed as;
x ∝ 1/ y²
x = y/y²
Let's substitute the value of y as 4 into the equation;
x = 4 / 4²
Find the square
x = 4 / 16
Find the ratio
x = 1/ 4
x = 0. 25
Thus, the value of x when y = 4 is 0. 25
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Ten students sit a test consisting of 20 questions. Two students get 8 questions correct and one student gets 9 questions correct. The remaining seven students all get at least 10 questions correct and the average number of questions answered correctly by these seven students is an integer. If the average number of questions answered correctly by all ten students is also an integer, then that integer is
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Answer:
14
Step-by-step explanation:
That equation, with the given constraints, is easily solved using logical reasoning.10y is a multiple of 5, and 25 is a multiple of 5; that means 7x is a multiple of 5.And we know x is a number between 10 and 20. So x has to be 14
URGENT HELP PLEASE!!! In the figure below, FG=6 and GH=8. Find FH.
Answer:
14
Step-by-step explanation:
Adding FG and GH is the answer to the wholr line. Im 90% sure thats the right answer thats whst i learnt 7 days ago.
PLEASE HELP WILL MARK BRAINLIEST !!
Answer: y=-0.5x-8
Step-by-step explanation:
Choose two points on the line: (0,-8) and (-6,-5)
Hence,
x₁=0 x₂=-6 y₁=-8 y₂=-5
[tex]\displaystyle\\The\ slope=\frac{y_2-y_1}{x_2-x_1}\\\\The\ slope=\frac{-5-(-8)}{-6-0} \\\\The\ slope=\frac{-5+8}{-6} \\\\The\ slope=\frac{3}{(3)(-2)}\\\\The\ slope=\frac{1}{-2} \\\\The\ slope=-\frac{1}{2}\\\\The\ slope=-0.5[/tex]
[tex]y=kx+b\\k=the\ slope=-0.5\\(0,-8) \ hence,\\-8=-0,5*0+b\\-8=0+b\\-8=b\\Thus,\\y=-0.5x-8[/tex]
A cell phone tower covers a circular area with a radius of 15 miles.
(a) If the tower is located at the origin, write an equation for this circular area of coverage.
If the tower is located at the origin, the equation of its circular area of coverage is [tex]x^{2} +y^{2} = 225[/tex]
A circle is a closed curve that is drawn from a fixed point. This point is called the center. All points on the curve are equidistant from this center point.
The equation of a circle with center at (h, k) and radius r is given by:
[tex](x - h)^{2} + (y-k)^{2} = r^{2}[/tex]
According to the given condition,
center is origin i.e., (h, k) is (0,0)
and r = 15.
Substituting these values in the equation above,
[tex](x - 0)^{2} + (y-0)^{2} = 15^{2}[/tex]
[tex]x^{2} + y^{2} = 225[/tex]
Thus, the equation of the tower located at origin and having coverage area of radius 15 miles is [tex]x^{2} + y^{2} = 225[/tex].
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Write the equation of the line that passes through (5, −2) and is perpendicular to y equals 5 thirds times x minus 3 period
Answer:
5y =x-15
Step-by-step explanation:
yes
The equation of the line is y = -3x/5 + 1 that passes through (5, −2), and is perpendicular to y = (5/3)x - 3.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The line passes through (5, −2) and is perpendicular to y = (5/3)x - 3
The slope of the line y = (5/3)x - 3
m = 5/3
The slope of the line perpendicular to the above line:
M = -3/5
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The equation of the line
y + 2 = (-3/5)[x - 5]
y = -3x/5 + 1
Thus, the equation of the line is y = -3x/5 + 1 that passes through (5, −2), and is perpendicular to y = (5/3)x - 3.
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Write an equation of the line through each pair of points in slope-intercept form.
(-12,-6) and (8,9)
The equation of line is:
y = (5/2) x - 11
Given,
Points (x₁, y₁) = (-12, -6) and (x₂, y₂) = (8, 9)
We can find the slope using the equation for slope
m = (y₂ - y₁) / (x₂ - x₁)
= (9 -(-6)) / (8-(-12))
= (9+6) / (8 + 12)
= 15/20 = 3/4
We know the slope and a point, so we can use point slope form to make an equation
y-y₁ = m(x-x₁)
y - (-6) = 3/4 (x-(-12))
Distribute
y+6 = 3/4x – 3/4 × 2
y+6 = 3/4x - 3/2
Add -6 to each side
y + 6 -6 = 3/4x - (3/2)-6
y = 3/4x - (-9/2)
y = 3/4x + 9/2
This is in slope intercept form (y= mx+b)
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Find the sum of each series. Σ¹° n=4 (0.8 n-0.4)
The given series is an arithmetic series and its sum is 36.4
The summation or sigma notation is used to express long summation into a single formula.
The series, given in a summation notation, is:
[tex]\sum\limits^{10}_{n=4} {(0.8n-0.4)}[/tex]
The formula inside the sum notation represent the nth term, a(n).
Let evaluate the terms for some n, starts from n = 4 as indicated by the lower limit of the summation notation:
a(4) = 0.8 (4) - 0.4 = 2.8
a(5) = 0.8 (5) - 0.4 = 3.6
a(6) = 0.8 (6) - 0.4 = 4.4
This form a new arithmetic series, with the first term, let say f(1) =2.8 and common difference, d = 0.8.
The number of terms in this new geometric series is given by the upper and lower limit of the summation notation:
number of terms = 10 - 4 + 1 = 7
Use the sum formula for an arithmetic series,
S(n) = n/2 [2.f(1) + (n - 1) . d]
Substitute n = 7, f(1) = 2.8, and d = 0.8 into the formula:
S(7) = 7/2 [2. (2.8) + (7 - 1) . (0.8)]
S(7) = 36.4
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what is cube root of 16 as a power of 2?
Answer: The prime factorization of 16 is 2 × 2 × 2 × 2, hence, the cube root of 16 in its lowest radical form is expressed as 2 ∛2.
Cube Root of 16.
Step-by-step explanation:
The solution for the cube root of 16 as a power of 2 is,
⇒ ∛16 = 2 ∛2
We have to given that,
To find the cube root of 16 as a power of 2.
The prime factorization of 16 are,
16 = 2 x 2 x 2 x 2
Take cube root,
⇒ ∛16 = ∛2 x 2 x 2 x 2
⇒ ∛16 = 2 ∛2
Therefore, The solution for the cube root of 16 as a power of 2 is,
⇒ ∛16 = 2 ∛2
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What is the positive solution to this equation?
3x²+2x = 16
Enter your answer in the box.
X =
Answer: 2
Step-by-step explanation: There are two solutions: 2, and -8/3. 2 is the positive solution.
1/5 (15b - 7) = 3b – 9
Answer: -7/5=-9
Step-by-step explanation:
I hope it helps
Answer: - 7/5 = -9
Step-by-step explanation: Combine like terms into single fraction, multiple by 1, subtract 3, simply.
Evaluate -8 × |2|.
-16
-10
16
10
Answer:
[tex] - 8 \times |2 = - 16| [/tex]
PLEASE HELP
PLEASE SHOW HOW U CHECKED UR WORK
Answer:
x = 5
Step-by-step explanation:
3(x + 7) + 4 = 40 ( subtract 4 from both sides )
3(x + 7) = 36 ( divide both sides by 3 )
x + 7 = 12 ( subtract 7 from both sides )
x = 5
As a check
substitute x = 5 into the left side of the equation and if the value obtained is equal to the right side (40) then it is a solution
3(5 + 7) + 4
= 3(12) + 4
= 36 + 4
= 40
left side = right side
then x = 5 is the solution to the equation