Answer:
x(x-2)=168
x=14
Step-by-step explanation:
Let the length of the rectangle be x.
width=(x-2)
x(x-2)=168
x^2-2x=168
x=14, x=-12 (rejected)
PLEASE HELP!!!! IN NEED OF IT
Answer:
Below in bold.
Step-by-step explanation:
This is a regular polygon so all sides are congruent, therefore:
The perimeter of the polygon = 6*34 = 204 units.
We can divide the polygon into 6 conguent triangle with height 30 and base 34.
So area of 1 triangle = 1/2*34*30 = 510.
So area of the polygon = 6 * 510 = 3060 unit^2.
Perimeter of the polygon = 6*34 = 204 units.
a professor teaches four different science classes. he wants to try out a new style of exam, so during finals, he gives the new exam to 15
randomly selected students in each class. the other students take the regular exam.
what is the sample in this situation?
The sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
Sample is the particular group which is gathered from a data. A professor teaches four types of science classes. Professor wants to try out a new style of exam, thus, during finals,
The gives the new exam to 15 randomly selected students in each class and remaining other students take the regular exam. Thus, the sample is 15.
Hence, the sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.
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Find the area of each figure. If necessary use 3.14 for pi and round to the nearest hundredth
Answer:
23.88 cm squared
Step-by-step explanation:
3.6 x 5.9 = 21.24
1.1 x 4.8 x 1/2 = 2.64
21.24 + 2.64 = 23.88
Which function has a range limited to only negative numbers?
The function that has a range limited to only negative numbers is Square Root.
Can one has the range of a function to be negative?The function of this kind is known to be a kind of radical function that is said to have even index e.g. a square root. and thus, this radicand is one that can have a negative value for some or for the values of x.
Note therefore, that The function that has a range limited to only negative numbers is Square Root and thus it is correct.
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Answer:
A or the first Graph
Step-by-step explanation:
My attachment proves this answer is true
How many different 6-digit numbers have a sum of their digits equal to 2?
pls help
If you're talking about 6-digit numbers in base 10 (so there digits are one of the numbers 0-9), such a number can be made up of either
• two 1s and four 0s, or
• one 2 and five 0s
and the leading digit must be non-zero.
If such a number starts with 1, then there are 5 slots which can contain the other 1. So there are 5 numbers in this group.
If such a number starts with 2, the rest are 0s. So there is 1 number in this group.
Then there are only 6 numbers with 6 digits whose digital sum is 2.
110000
101000
100100
100010
100001
200000
Which is the equation of the line passing through (0, 4) and (8, 0)?
A. Y= - 1/2+ 8
B. Y= - 1/2+4
C. Y= -2x+4
D. Y= -2x+8
Answer:
B: y = -(1/2)x + 4
Step-by-step explanation:
I'll assume the x term is missing from options A and B:
IThey should read:
A. Y= - (1/2)x+ 8
B. Y= - (1/2)x+4
Use the two given points to calculate the slope of the line of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
(0,4) and (8,0)
Rise = (0 - 4) = -4
Run = (8 - 0) = 8
Slope, m, = -4/8 or -(1/2)
The perpendicular line has the form y = -(1/2)x + b. There are options that have a -(1/2) slope: A and B.
To narrow it down, we need to calculate a value of b.
Use y = -(1/2)x + b and solve for b using either of the two given points [(0,4) or (8,0)]. I'll use (0,4).
y = -(1/2)x + b
4 = -(1/2)(0) + b
b = 4
The equation is thus y = -(1/2)x + 4, option B
Find c. Select the letter of the solution.
Answer:140
Step-by-step explanation:
Answer:
B) sqrt(50)
Step-by-step explanation:
c=sqrt((sqrt(10)^2+sqrt(40)^2)=sqrt(10+40)=sqrt(50)
The square root of 8+3 times the square root of 2 + the square root of 32
Answer:
[tex]9 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ \\ = \sqrt{ {2}^{2} \times 2} + 3 \sqrt{2} + \sqrt{ {2}^{4} \times 2 } \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + {2}^{2} \sqrt{2} \\ \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]
Now let's explore how to use Desmos to help solve questions like the following.
The movie theatre charged $6 for children tickets (x) and $9 for adult tickets (y). The total revenue for Friday night was $1500. How could you type this out as an equation?
A school buys pens and pencils from a supplier. The supplier charges $0.05 for each pencil and $0.25 for each pen. The school pays $400 for the pens and pencils.
If the school bought 1,500 pencils, how many pens did the school buy?
please help
Answer:
1300 pens
Explanation:
Set up equations where p is pencil, q is pens
Equation's:
1st equation: 0.05p + 0.25q = 400
2nd equation: p = 1500
Insert equation 2 into 1:
0.05(1500) + 0.25q = 400
75 + 0.25q = 400
0.25q = 325
q = 325/0.25
q = 1300
(Brainliest!)
Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.
Please help fast! I'm being timed
Answer:
If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex]
Step-by-step explanation:
We are given the diagram of parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and [tex]\displaystyle\mathsf{\overline{KV}}[/tex], which are intersected by line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The prompt requires us to determine the relationship between [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{RS}}[/tex].
Definitions:Parallel lines are non-intersecting lines that are coplanar and have the same slope.
Perpendicular lines: the intersection between two lines that form right angles. Perpendicular lines also have negative reciprocal slopes.
Transversal : a line that intersects at least two distinct coplanar lines in at least two or more definite points.
Explanation:We will use the given diagram and the following theorems/postulates to prove the relationship between lines [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{WS}}[/tex].
The Parallel Postulate states that given line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and a point that is [tex]\displaystyle\sf\doubleunderline{\underline{\underline{not}}}[/tex] on line [tex]\displaystyle\mathsf{\overline{WS}}[/tex] , then there is exactly one line through that point that is parallel to line [tex]\displaystyle\mathsf{\overline{WS}}[/tex]. The Perpendicular Postulate states that given line [tex]\displaystyle\mathsf{\overline{KV}}[/tex] and point R that is not on line [tex]\displaystyle\mathsf{\overline{KV}}[/tex], then there is a definite line through point R that is perpendicular to line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The Perpendicular Transversal Theorem states that given a transversal, [tex]\displaystyle\mathsf{\overline{RT}}[/tex], which is perpendicular to one of the parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex], then it means that transversal [tex]\displaystyle\mathsf{\overline{RT}}[/tex] is also perpendicular to the other parallel line, [tex]\displaystyle\mathsf{\overline{KV}}[/tex].Now that we have established the necessary postulates and theorem, we can state that:
If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], (Parallel Postulate) and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], (Perpendicular Transversal Theorem ), then [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex] (Perpendicular Postulate). ________________________Keywords:
Parallel Lines
Perpendicular lines
Perpendicular Transversal Theorem
____________________________
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F the positive z-axis points upward, an equation for a horizontal plane through the point (0,−2,−3) is
The equation for a horizontal plane through the point (0,−2,−3) is z= -3.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let's assume n is the normal vector for the horizontal plane < 0, 0, 1 > .
The co-ordinate of the point is (0,−2,−3)
The general equation of a plane is -
[tex]n < x-x_0 , y - y_0, z-z_0 > =0\\\\ < 0,0,1 > \\\\0(x)+0(y+2) +1(z+3)\\\\z = -3[/tex]
Thus, The equation for a horizontal plane through the point (0,−2,−3) is z= -3.
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Find the surface area of ALL FIVE shapes.
help me please it’s due
Answer:
13.82 in.
Step-by-step explanation:
To find the circumference of a circle, you multiply the diameter by pi ([tex]\pi[/tex]):
[tex](4.4)(\pi )=13.82301[/tex]
Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.
I hope this helps!
The rectangular floor of a classroom is 26 feet in length and 24 feet in width. A scale drawing of the floor has a length of 13 inches. What is the area, in square inches, of the floor in the scale drawing?
Step-by-step explanation:
The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively
Actual Length = 36 feets
Actual width = 32 feets
Model width = 9 inches
The scale factor = 9 / 36 = 1/4
The length of the model canbe calculated thus :
Actual Length × scale factor
Model width = 32 × 1/4 = 8 inches
The Area of a rectangle can be calculated using the relation :
Area = Length × width
Area of floor = 8 inches × 9 inches = 72 inch²
Therefore, the area of the floor of the scale drawing is 72 in²
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The area of the rectangular floor in the scale drawing is A = 156 inches²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular floor in the scale drawing be A
Let the length of the rectangular floor be L = 26 feet
Now , the length of the rectangular floor in scale drawing = 13 inches = L/2
And , the width of the rectangular floor be W = 24 feet
So , the width of the rectangular floor in scale drawing = W/2 = 12 inches
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
The area of the rectangular floor in the scale drawing A = 13 x 12
The area of the rectangular floor in the scale drawing A = 156 inches²
Hence , the area of rectangle is 156 inches²
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Ximena gave out a survey to some students in her school about their favorite color. students could choose between red and blue. 180 of those surveyed said their favorite color was red. 55% of the students surveyed said their favorite color was blue. how many students were surveyed in total?
Answer:
Step-by-step explanation:
what we know is that 45% of the total was 180 (they voted red)
55% of the total voted blue.
To find the total, we need to set up a cross-multiplication equation
180/45 = ?/100
180 times 100 is 18000
18000/45 = 400
400 students were surveyed in total
we can check this by getting 55% of this, and adding it to 180.
If it equals to 400, then we're right.
55% of 400 = 220
220 + 180 = 400
please give brainliest! hope this helps :)
Let O be an angle in quadrant IV such that sec =
17/8
Find the exact values of cot and sin.
what is the average of 8 and 9
Answer:
The correct answer should be 8.5 (I think) : )
Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? distance formula: startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot (x – 1)2 (y 2)2 = 25 (x 2)2 (y – 1)2 = 5 (x 2)2 (y – 1)2 = 25 (x – 1)2 (y 2)2 = 5
The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle contains the point (–5, -3) and has a center at (-2, 1), hence:
[tex]radius=\sqrt{(1-(-3))^2+(-2-(-5))^2}=5\ units[/tex]
The equation is:
(x - (-2))² + (y - 1)² = 5²
(x + 2)² + (y - 1)² = 25
The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25
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What is the surface area?
10 mm
6 mm
4 mm
square millimeters
Answer:
square millimeters
Step-by-step explanation:
The surface area will always have answer in
square millimeters / meters / centimeters, etc.
HELP PLSSSSSSSS!!! TY!!! If the sum of four consecutive numbers is 1998, what is the third number? The third number is ?
Answer:
500
Step-by-step explanation:
Hello!
Let the smallest number be x. The next number would be x + 1, then the next would be x + 2, then x + 3.
The sum of these four is 1998.
Solve for x:
x + (x + 1) + (x + 2) + (x + 3) = 19984x + 6 = 19984x = 1992x = 498The third number is (x + 2), so simply add 2 to 498 = 500
The third number is 500.
All 4 numbers are 498, 499, 500, and 501.
Solve for x to the nearest tenth!!!!
Answer:
√2685 is your answer
hope this will help you
Suppose you invest $500 at an annual interest rate
of 3.9% compounded continuously. how much will
you have in the account after 4 years?
Answer:
$584.41
Step-by-step explanation:
From this information, we can write the following equation:
[tex]P = 500(e)^{0.039t[/tex] where t is the number of years.
To find out the amount after 4 years, we can simply plug in 4 for t:
[tex]P = 500(e)^{0.039(4))\\[/tex]
≈ $584.41
Answer:
$584.41
Step-by-step explanation:
From this information, we can write the following equation:
where t is the number of years.
To find out the amount after 4 years, we can simply plug in 4 for t:
≈ $584.41
Work out (5 x 10-3) + (2 x 10-1) Give your answer in standard form.
Answer:
2.05 · 10^-1
Step-by-step explanation:
(5·10^-3)+(2·10^-1) = 2.05 × 10^-1
The perimeter, p, of a square is a function of its side length, s. The perimeter of the square is 28 inches or less. What is the domain of the function for this situation
The domain of the function for this situation is; s<= 7.
What is the domain of the function?It follows from the task content that the perimeter , p, of a square is a function of its side length, s. The perimeter of the square is 28 inches or less.
On this note it follows that;
P = 4s <= 28
Hence, it follows that; s<=7.
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Alright this time can somebody help?
I'm pretty sure the answer is 232cm
11x8=88
88÷2=44
44x4=176
8x7= 56
176+56=232
Correct me if I'm wrong :)
Answer:
Surface area =
160 sq cm
Step-by-step explanation:
To find surface area, you find the area of all the faces and add them together. There are 4 faces (flat surfaces) The base is a triangle and the 3 sides are also triangles. The area of a triangle is:
A = 1/2 b•h
For the base,
A = 1/2•8•7
A = 28 sq cm
For the sides, we can do one calculation and times by 3 because they are all the same.
A = 1/2•8•11
= 44 sq cm
One face is 44, 3×44 is 132 for all three faces.
Surface area =
28 + 132
= 160 sq cm
Using the side lengths, determine whether the triangle is acute, obtuse, or right. 20 15 15 obtuse right acute
Answer:
acute
Step-by-step explanation:
it is an acute triangle
Determine whether FG is tangent to OE- Justify your answer.
® yes, using pythagorean theorem, both sides equal 144
can not be determined
O yes, using pythagorean theorem, both sides of the equation equal 136
O No, using the pythagorean theorem, both sides of the equation are not equal
Answer:
D
Step-by-step explanation:
Remark
The two legs when each of them is squared = 136 by
6^2 + 10^2 = 36 + 100 = 136
The hypotenuse is 12
12^2 = 144
The answer is that it is not a right angle triangle having 2 legs and a hypotenuse. That is because both sides are not equal.
If 3n + 2 = 8, find the value of n.
Answer:
2
Step-by-step explanation:
3n+2=8
Collect like terms
3n=8-2
3n=6
Divide both sides by 3
3n÷3=6÷3
n=2
Find the values of x and y in parallelogram PQRS. PTy, TR 4x1, QT 2y, TS 5x+8
Answer:
Step-by-step explanation: