Answer:
A. 15.7 ft
Step-by-step explanation:
circumference = 2πr
radius= half the diameter 5/2=2.5
2(3.14)(2.5)=15.7 ft
Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.
Answer:
180- 110= 70
70+x+90=180
160+x=180
180-160=x
20=x
Find the products using suitable identity:
a) (t –2)(t –2)
b) (3y –2z) (3y + 2z)
c) 105 × 98
Hello!
a) (t - 2)(t - 2) = (t - 2)² = t² - 4t + 4
b) (3y - 2z)(3y + 2z) = (3y)² - (2z)² = 9y² - 4z²
c) 105 × 98 = 10290
Good luck! :)
Answer:
Step-by-step explanation:
a) Identity : (a- b)² = a²- 2ab + b²
(t - 2)(t -2) = (t-2)² {a = t & b =2}
= t² -2*t*2 + 2²
= t² - 4t + 4
b) (a + b)(a - b) = a² - b²
a = 3y & y = 2z
(3y - 2z) (3y +2z) = (3y)² - (2z)²
= 3²y² - 2²z²
= 9y² - 4z²
c) (x + a)(x + b) =x² + (a+b)x + ab
105 * 98 = (100 + 5) (100 - 2) {here, x = 100 ; a = 5 ; b = -2}
= 100² + (5 +(-2) ) *100 + (5)*(-2)
= 10000 + (3)*100 - 10
= 10000 + 300 - 10
= 10290
Can you answer this math homework? Please!
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
------------------------------------------------------------------------------------------------------------
6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
Answer:
(3.5, -2)
Step-by-step explanation:
Hi there!
We are given a system of equations, and the value for y is already solved (y=-2)
We want to find the value of x
To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x
Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine
Substitute -2 as y into the equation
4x-7(-2)=28
Multiply
4x+14=28
Subtract 14 from both sides
4x=14
Divide both sides by 4 and simplify
x=7/2, or 3.5
We found the value of x in the system
Substitute the values of x and y into a point form (x, y)
The solution is (3.5, -2)
Hope this helps!
Select the reason that best supports statement 5 in the given proof help pls
Answer:
A
Step-by-step explanation:
Subustion works because we already know two things are congruent so we just "substitute the angles into for the variables.
We know Angle A equal Angle B so we can replace angle A into m of Angle B and set it equal to Angle B variables.
We dont do know algebra operation to solve for the variable so we B and C aren't the option.
We already know two things are equal so we dont need to use transitive.
The reason that best supports statement 5 in the given proof is option A. Substitution.
What is Substitution:The process of substituting an algebraic letter for its value is known as substitution.
Take the equation 8 - 4x as an example. Depending on what number x is, this can take a wide range of values. For example, if we are told x = 3 then we can substitute 3 in place of x.
Multiplication property of equality:Let's take an example,
x ÷ 2 = (5x - 54)
x ÷ 2 × 2 = 2 × (5x - 54)
x = 10x - 108
then by multiplication property of equality, we can multiply 2 on both sides and rewrite the equation,
x = 10x - 108
Addition property of equality:Let's take another example,
x - 2 = 2
then by addition property of equality, we can add 2 on both sides and rewrite the equation,
x - 2 + 2 = 2 + 2
x = 4
Transitive property:In math, if A=B and B=C, then A=C
For example, if A is 5 then by the transitive property we can conclude that B and C are also equal to 5.
What is congruency?Two geometric figures are said to be congruent or to be in a congruence relation if they can be superposed on top of each other and remain the same throughout.
In the given question -
The first reason is given in the question itself.The second reason is given by congruency.The third reason is again given in the question.The fourth reason is also given.Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
Know more about Substitution here - brainly.com/question/22340165
#SPJ2
4.
a. The total area of the model is 130 m2. Write an equation to find x. b. Solve the equation by completing the square.
A. (x + 2)(2x + 2) = 130; x = 5.12 m
B. (x + 2)(2x + 2) = 130; x = 6.70 m
C. (x + 2)(x + 2) = 130; x = 9.40 m
D. (x + 2)(2x + 2) = 130; x = 6.58 m
Answer:
(x+2)(2x+2) = 130
x=6.58m
Step-by-step explanation:
The shape of the whole figure is a triangle. Hence the area of the whole figure is expressed as:
Area = Length * Width
Given
Length = 2 + x + x = 2+2x
Width = 2 + x
Area = 130m²
Substitute the resultng values into the formula;
(2+2x)(2+x)= 130
(x+2)(2x+2) = 130
Expand the bracket:
[tex]2x^2+2x+4x+4=130\\2x^2+6x+4=130\\[/tex]
Divide through by 2
[tex]x^2+3x+2=65\\x^2+3x=65-2\\x^2+3x = 63[/tex]
Complete the square by adding the square of the half of the coefficient of x to both sides:
[tex](x^2+3x+(\frac{3}{2} )^2)=63+(\frac{3}{2} )^2[/tex]
[tex](x+\frac{3}{2} )^2=63 + \frac{9}{4} \\(x+\frac{3}{2} )^2=\frac{252+9}{4} \\(x+\frac{3}{2} )^2=\frac{261}{4}\\(x+\frac{3}{2} )^2=65.25[/tex]
Take the square root of both sides
[tex]\sqrt{(x+(\frac{3}{2} ))^2} = \sqrt{65.25}\\x+\frac{3}{2}= 8.078\\x=8.078-1.5\\x=6.58m[/tex]
Hence the value of x is 6.58m
The sum of three consecutive numbers is 117.what is the largest of the three numbers?write an equation to represent this scenario and solve for the variable
Answer:rrrrrrrr
rrrrrrrrrr
Step-by-step explanation:
rrrrrrrrrrrrrrr
The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the first number:
The other numbers are:
x+1, x+2
The sum of three consecutive numbers is 117:
x + x+1 + x+2 = 117
3x + 3 = 117
3x = 114
x = 38
x+ 1 = 38+1 = 39
x+2 = 38+2 = 40
Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
Learn more about the linear equation here:
brainly.com/question/11897796
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Original Price: $90 Sale Price: $58.50
Can you also show the math
Answer:
You didn't give me any specifics about what you want me to solve or do.
bob swarm 4/9 killometers to an island .then he swam 2/9 killometers to a boat how far did he swim in all
Answer:
2/3 kilometers
Step-by-step explanation:
Add the two distances together
4/9 + 2/9 = 6/9
Simplify the fraction by dividing the top and bottom by 3
2/3
Answer:
Step-by-step explanation:
(4/9) + (2/9) = 6/9 = 2/3
A giant pie is created in an attempt to break a world record for baking. The pie is shown below:
A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
9514 1404 393
Answer:
22.09 ft²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr² . . . . where r is the radius, half the diameter
The slice, at 45°, is 1/8 of the circle, so the area of the slice is ...
A = (1/8)π(15 ft/2)² = 225π/32 ft² ≈ 22.09 ft²
math math uhhh i no like math
n33d h319 pls
hope it helps✓✓✓✓✓✓✓✓✓
Answer: A for 10
Step-by-step explanation:
PLEASE HELP ME FAST!!!
QUESTION IN ATTACHMENTS
Answer:
b i think
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
I'm very sure
FIND THE EQUATION OF THE LINE SHOWN: QUICK I NEED TO SUMBIT MY HW
Answer:
y = -1/4x +2
Step-by-step explanation:
First find the slope using two point
(0,2) and (4,1)
m = (y2-y1)/(x2-x1)
= (1-2)/(4-0)
= -1/4
The y intercept is 2
The slope intercept form of a line is
y= mx+b where m is the slope and b is the y intercept
y = -1/4x +2
Answer:
the equation of the line is y = -1/4x +2
Step-by-step explanation:
The first step is to see where the line intercepts on the y-axis, which is 2. The next step is to see what the slope is so because it goes down 1 right 4, you find out that the slope of the line is -1/4.
Hope this helps!
geometry, trigonometry
Answer:
Hello
Answer B: 32.58°
Step-by-step explanation:
[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]
I want to know what is the slope of the height of the cone and how to find it . please
Use the height of the cone and the radius of the base to form a right triangle. Then, use the Pythagorean theorem to find the slant height.
DB is a diagonal of parallelogram ABCD
What is the measurement of
Please help ASAP
Answer:
m∠DAB+m∠ADC=180
115+ 29 + m∠ADB=180
m∠ADB=180 - 115 -29
= 36°
Ella has two 8-ft. long boards. She
needs to cut pieces that are 15 inches
long. How many 15-inch pieces can
she cut from the two boards?
My sister needs help?
Answer:
Step-by-step explanation:
write equation!!
twice the difference of a number and seven equals five 
Answer:
Its either 2(A+7=5) or 2(A+7) =5
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
-2,-1,1, and 3 only
-6,-2,-1,1,and 3 only
Answer: -6 only (choice B)
This is because the point (0,-6) is on the blue line. This is the y intercept.
Choice C would be true if you wanted to solve f(x) = 0, instead of f(0) itself.
Answer:
-6
Step-by-step explanation:
f(0) means what is the output when the input is 0
x=0 y= -6
Use the coordinates of the labeled point to find the point-slope equation of the line.
(12, -1)
Answer:
Choice C.
[tex]y + 1 = - 2(x - 2)[/tex]
Step-by-step explanation:
When converting to
[tex]y = mx + b[/tex]
We are left with:
[tex]y = - 2x + 3[/tex]
Which fits both the x-intercept and y-intercept.
Sipho buys a bread on Monday and eats a third of it. On Tuesday he eats half of what is left over. If the bread is cut in 21 slice how many slice are left for Wednesday?
Answer:
7 slices
Step-by-step explanation:
1/3 of the bread would be seven slices (21/3), and he would be left with 2/3, half of which is 1/3; another seven slices were eaten. On Wednesday, he will have 7 slices left over.
Help with question 24 the answer is (y-2)(a-b) but I need explain I don’t understand
Answer:
a(y_2)_b(y_2) =a_b)(y_2(
Which statements are true about finding the difference of the expressions? Select three options
[tex]\frac{3p+1}{6p}[/tex] and [tex]\frac{2p-3}{2px^{2} }[/tex]
A. The common denominator is 6p.
B. The first fraction rewritten with the LCD is [tex]\frac{3px^{2} +p}{6px^{2} }[/tex]
C. The second fraction rewritten with the LCD is [tex]\frac{6p-9}{6p}[/tex]
D. The diffrence is [tex]\frac{3px^{2} -5p+9}{6px^{2} }[/tex]
E. The difference is a rational expression.
Answer:
CAUTION HERE !!!!!
if you suggested edits are accurate the solution would be...
[tex]\frac{3p^2 - 5p+9}{6p^2}[/tex]
that is not one of your choices, but is is almost identical to choice "D"
which is different by [tex]6px^2[/tex] vs [tex]6p^2[/tex]
which i think is your comment ????
Step-by-step explanation:
The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can be formed?
Step-by-step explanation:
You have 5 digits.Youdonot say if duplication is allowed. I will assume not
For the first digit you have 5 choices. One of the 5 digits is gone.
You now have 4 digits to choose from. You pick one. Now you have but 3 left.
The total answer if 5*4*3*2*1 = 120
A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new meteor?
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
1 inch
one and one eighth inches
one and two eighths inches
one and three eighths inches
Answer:The answer is 1 3/8 (D)
Step-by-step explanation:
If you added the amounts of each tick mark (which would be 13 2/8), and then subtracted it by 16, it would be 2 6/8. 2 6/8 divided by two (because we need to find the length of both of the indentical meteors) would be 1 3/8.
Now, to make sure it is 1 3/8: 13 2/8 + 1 3/8 + 1 3/8 = 16.
It is confirmed, 1 3/8 (Answer D) is the correct answer.
(Also, I took this test and got it correct :D)
Step-by-step explanation:
There are 5 pears, 10 grapes, and 4 strawberries in a bag. What is the ratio of all pieces of fruits to pears?
Answer:
19: 5
Step-by-step explanation:
Total fruit is 5+10+4 = 19
fruit: pears
19: 5
Answer:
19:5
Step-by-step explanation:
5+10+4= 19
Pears= 5
What is the range of the function f(x) = -2(6^x) + 3?
o (-inf,-2]
0 (-inf,3)
O [-2,inf)
O [3,inf)
Answer:
write question in short form
Step-by-step explanation:
I will mark you the brainiest for the correct answer, please be correct, Have a good day and take care, thanks. ( VIEW THE IMAGE TO ANSWER).
Mistake in Line 2 : Was in the determining the values for a ,b,c
Mistake in Line 4 : Not taking the square roots of both sides.
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
First Mistake : Line 2
[tex]a = x \\ b = 6 \\ c = 10[/tex]
Second Mistake : Line 4
[tex]136 = {x}^{2} \\ not \\ 136 = x[/tex]
Correct Solution :
[tex] {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\ [/tex]
[tex] {x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6[/tex]
Which statement correctly compares Line segment AB Which statement correctly compares Line segment AB and Line segment FD? And Line segment FD?
Answer:
AB is longer FD
Step-by-step explanation:
Given
See attachment for triangles ABC and FDE
Required
Compare line segments AB and FD
From the attachment, we have:
[tex]AC = FE[/tex] --- equal line segments
The measure of angles will then be used to compare the line segments;
[tex]\angle C = 72^o[/tex]
[tex]\angle F = 65^o[/tex]
The longer the angle of depression, the shorter the required line segment
[tex]72 > 65[/tex] implies that AB is longer
Answer:
C 3dge
Step-by-step explanation:
A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he set out. He estimated the angle of elevation was 26 degrees. Estimate to the nearest foot. the height of the house above the water
Answer:
259 ft.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.
Let h represent the height of the house above water, hence using trigonometric ratios:
tan(26) = h / 531
h = 531 * tan(26)
h = 259 ft.
Solve for the value of x
Answer:
x = 2
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord , that is
12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let ([tex]secant_A[/tex]) and ([tex]secant_B[/tex]) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
Use this formula in the given situation, substitute the given values in and solve for the unknown,
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
[tex](6)(x+2)=(12)(x)[/tex]
Simplify,
[tex](6)(x+2)=(12)(x)[/tex]
[tex]6x+12=12x[/tex]
[tex]12=6x[/tex]
[tex]x=2[/tex]
