8*8 equals 64 and a square root is a number times another number equals thr number that you are going for
Answer: option d.
Step-by-step explanation:
To find the square root of [tex]r^{64}[/tex], it is important to remember the following:
[tex]\sqrt[n]{a^n}=a[/tex]
Then, knowing this, you can find the square root of [tex]r^{64}[/tex] with this procedure:
[tex]\sqrt{r^{64}}=r^{32}[/tex]
There is another procedure to solve the exercise. Knowing that:
[tex]\sqrt[n]{a}=a^{\frac{1}{n}}[/tex], you get:
[tex]\sqrt{r^{64}}=r^{\frac{64}{2}}=r^{32}[/tex]
Then the answer is the option d.
The presence of an angle bisector will result in what type of angles ?
Answer:
Congruent Angles
Reasoning:
An angle bisector bisects/splits an angle into two equal/congruent parts/angles.
Answer with explanation:
→ The Meaning of Angle bisector is that line or line segment which divide an Angle in two equal Parts.
→So, If a Line or line segment that is Angle bisector is bisecting an Angle , it will divide the angle into two equal Angles.
For example: Suppose an Angle has Measure of 60°, the Angle bisector will divide it into two congruent Angles each being equal to 30°.
⇒The presence of an angle bisector will result in Congruent type of angles
Which of the following pair(s) of circles have /as a common internal tangent? Select all that apply.
A and B
A and C
B and C
Answer:
A and B, A and C
Step-by-step explanation:
A and B touch at T same as A and C. The tangent is in between the two circles but through the touching points. B and C share the tangent but externally since at T it does not pass in between them.
what is the equation of the line that is perpendicular to and has the same y intercept as the given line
Answer:
y=5x+1
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(0,1) and (5,0)
m=(0-1)/(5-0)
m=-1/5
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
m1*m2=-1
m1=-1/5
substitute
(-1/5)*m2=-1
m2=5
step 3
Find the equation of the line with slope m=5 and y-intercept (0,1)
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=5
b=1
substitute
y=5x+1
Answer:
C
Step-by-step explanation:
Which ratio can be used to solve for y in the triangle below?
Option (1) will be the answer.
Sine rule in a triangle,sine rule defines the ratio of the sine of the angles and lengths of the opposite sides of a triangle.sine rule in a triangle ABC is defined by,[tex]\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}[/tex]
Where [tex]a,b,c[/tex] are the opposite sides of ∠A, ∠B and ∠C.
Given in the question,
Two angles 75° and 40°Measure of opposite sides of the angles are 25 mm and 'y' respectively.Apply sine rule in the triangle given in the picture,
[tex]\frac{\text{sin(40)}^\circ}{y}= \frac{\text{sin(75)}^\circ}{25}[/tex]
Therefore, expression given in option (1) will be the answer.
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Give a reason to justify the equation. 3 • (10 • 12) = (3 • 10) • 12
The equation 3 • (10 • 12) = (3 • 10) • 12 is justified by the associative property of multiplication, stating that the grouping of numbers in multiplication does not change the outcome.
Explanation:The equation 3 • (10 • 12) = (3 • 10) • 12 can be justified using the property of associative property of multiplication. This property states that when three or more numbers are multiplied, the way in which the numbers are grouped does not change the product. In simpler terms, no matter how we place the parentheses in a multiplication equation, the result will always be the same.
For example, let's take three numbers, a, b, and c. The associative property of multiplication tells us that (a • b) • c = a • (b • c). Applying this to the given equation, 3 • (10 • 12) is the same as (3 • 10) • 12 because, according to the property, the grouping of numbers does not affect the outcome. This demonstrates why the original equation holds true.
Consider the graph of the equation y = 5. Which statements are true? Check all that apply.
The graph of y = 5 is a vertical line.
The graph of y = 5 is a horizontal line.
The graph of y = 5 is neither a vertical line nor a horizontal line,
The point (5,3) lies on the line.
The point (-4, 5) lies on the line.
Answer:
y=5 is horizontal
(-4,5) is on the line
Step-by-step explanation:
y= a number is always a horizontal line
x= b number is always a vertical line
So y=5 is horizontal and it includes every single ordered pair with a y-coordinate of 5. So it contain the ordered pair (-4,5).
So there are two statements.
The correct statements are :
The graph of y = 5 is a vertical line.
The point (-4, 5) lies on the line.
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to know which statements are true?The equation y = 5 is a line parallel to the y axis .So, the line is vertical.The line also passes through all the points with ordinate 5
So the line passes through ( -4,5)
So options A and D are correct.
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Write an expression to represent the perimeter of 12a, 6a+8, 10a-4, 6a+8
Answer:
34a + 12
Step-by-step explanation:
12a + 6a + 8 + 10a - 4 + 6a + 8
combine like terms
12a + 6a + 10a + 6a
and 8 + 8 - 4
34a + 12
Find the perimeter of the following shapes.
Answer:
4. (a) = 12 m
(b) = 27 cm
(c) = 24 mm
(d) = 18 km
(e) = 10 m
(f) = 36 cm
Step-by-step explanation:
Perimeter is sum the distance round a figure.
if a shape has those, they signify that the shape has two side that are equal
a) 4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .
b) 10 + 10 + 7 = 27
c) 5 + 5 + 8 + 6 = 24
d) 3 + 3 + 6 + 6 = 18
e) 2.5 + 2.5 + 2.5 + 2.5 = 10
f) 12 + 7 + 7 + 5 + 5 = 36
If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.
Hope this helps and if it does pls mark as branliest answer thx.
What is the slope of the line whose equation is 2x - 4y = 10?
Please I need this right away !
Answer:
1/2
or
0.5
Step-by-step explanation:
you need to get the line in the form of y = mx + b
2x - 4y = 10 Subtract 3x from both sides
-4y = - 2x + 10 3x on the left disappears. Divide by - 4
-4y/-4 =-2x/-4 +10/-4 Do the division
y = (2/4)x - 2.5
y = (1/2)x - 2.5
The slope is the number in front of the x
y = 0.5x - 2.5
1) For the triangle shown, find the value of x.
A) 4
B) 6
C) 8
D) 10
E) None of the above
2) For the triangle shown, find the value of y.
A) 8
B) 8√2
C) 8√3
D) 16√3
E) None of the above
The value of x in the triangle is 8 and the value of y is [tex]8\sqrt2[/tex]
How to determine the value of x in the triangle
From the question, we have the following parameters that can be used in our computation:
The triangle
Using the Pythagoras theorem, we have:
[tex]x^2 = 10^2 - 8^2[/tex]
This gives
[tex]x^2 = 36[/tex]
take the square root of both sides
x = 8
How to determine the value of y in the triangle
Using the Pythagoras theorem on the second triangle, we have
[tex]y^2 = 8^2 + 8^2[/tex]
This gives
[tex]y^2 = 2(8^2)[/tex]
take the square root of both sides
[tex]y = 8\sqrt2[/tex]
Hence, the value of x is 8 and the value of y is [tex]8\sqrt2[/tex]
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
Answer:
[tex]\large\boxed{b=0}[/tex]
Step-by-step explanation:
[tex]4b+6=2-b+4\qquad\text{combine like terms}\\\\4b+6=(2+4)-b\qquad\text{add}\ b\ \text{to both sides}\\\\5b+6=6\qquad\text{subtract 6 from both sides}\\\\5b=0\qquad\text{divide both sides by 5}\\\\b=0[/tex]
Hello!
Answer:
[tex]\boxed{b=0}\checkmark[/tex]
The answer should have a positive sign.
Step-by-step explanation:
First, switch sides and group like terms.
4b+6=-b+2+4
Then, add numbers from left/right.
2+4=6
4b+6=-b+6
Subtract by 6 both sides of an equation.
4b+6-6=-b+6-6
Simplify.
4b=-b
Next add b both sides of an equation.
4b+b=-b+b
Simplify.
5b=0
Therefore, you divide by 5 from both sides of an equation.
5b/5=0/5
Finally, you simplify and solve to find that answer is.
0/5=0
b=0 is the correct answer.
Hope this helps!
Have a nice day! :)
-Charlie
Thank you so much!
What is the surface area of the figure?
Answer:
The surface area of the figure is [tex]SA=458\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the figure is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the L-shaped cross section
P is the perimeter of L-shaped cross section
H is the width of the figure
Find the area of the L-shaped cross section
[tex]B=12*7+5*5=109\ ft^{2}[/tex]
Find the perimeter P of L-shaped cross section
[tex]P=(12+7+7+5+5+12)=48\ ft[/tex]
[tex]H=5\ ft[/tex]
substitute
[tex]SA=2(109)+(48)(5)=458\ ft^{2}[/tex]
Answer:
Surface area = 458 square ft
Step-by-step explanation:
From the figure attached with this answer we can see figure.
To find the surface area of the figure
Surface area is sum of area of small rectangles
Surface area = 2(12 * 7 ) + 4(5 * 5) + 2(12 * 5) + 2(7 * 5)
= 2*84 + 4*25 + 2 *60 + 2*35
= 168 + 100 + 120 + 70
= 458
Therefore surface area of given figure = 458 square ft
What is the area of the hexagon?
(See image attached below)
Answer:
57.12cm²
Step-by-step explanation:
From the attached picture, you will notice that you can fill in the 4 corners of the hexagon with 4 triangles (i.e shaded areas) to form a rectangle.
Area of each shaded corner (triangle) = [tex]\frac{1}{2}[/tex] x 4 x 2.14 = 4.28 cm²
Area of 4 shaded corners = 4 x 4.28 = 17.12cm²
Area of rectangle = 9.28 x 8 = 74.24 cm²
Area of hexagon
= Area of rectangle - Area of 4 shaded corners
= 74.24 - 17.12
= 57.12cm²
The formula W = Fd shows the relationship between work, force, and distance. Solve this formula for distance.
Answer:
[tex]d = \frac{W}{F}[/tex]
Step-by-step explanation:
To do this, we must isolate the variable d.
W = Fd
To isolate d, we must divide the variable F from both sides.
W ÷ F = Fd ÷ F
W ÷ F = d
Now that we have isolated the variable d, we have successfully solved this formula for distance.
[tex]d = \frac{W}{F}[/tex]
Answer:
d = W/F.
Step-by-step explanation:
You simply divide both sides by F:
W / F = Fd / F
W/F = d.
A carnival game has the possibility of scoring 50 points, 75 points, or 150 points per turn. The probability of scoring 50 points is 60%, 75 points is 30%, and 150 points is 10%. The game operator designed a simulation using a random number generator to predict how many points would be earned for a turn.
Integer Value Points Frequency
0 - 5 50 55
6 - 8 75 32
9 150 13
10. What is game’s expected value of points earned for a turn?
(SHOW WORK)
Answer:
The game’s expected value of points earned for a turn is 71.
Step-by-step explanation:
Here we know that:
Points Frequency
50 55
75 32
150 13
Here points earned is a random variable.
We need to find its expected value,
Finding Expected value:
Expected value of a random variable is its mean value. So we will first find the mean value of points earned per turn from the table we are given.
Total number of turns = sum of frequencies
= 55 + 32 + 14 = 100
Total points earned = 50(55) + 75(32) + 150(13)
= 7100
Expected value of points earned for a turn = Mean value of points
= Total points/no. of turns
= 7100/100
= 71
Line AB contains points A (3, −2) and B (1, 8). The slope of line AB is
−5
negative 1 over 5
1 over 5
5
Answer:
-5
Step-by-step explanation:
We have two points. We can find the slope m using
m = (y2-y1)/ (x2-x1)
= (8--2)/ (1-3)
(8+2)/(1-3)
10/-2
-5
The slope is -5
Answer:
-5
Step-by-step explanation:
Can someone please help me with this question asap! greatly appreciated!
Answer:
1344 ft^2
Step-by-step explanation:
From the picture we can see that 4w = 3l, which means that l = (4/3)w. Since w = 12 ft, l = (4/3)(12 ft) = 16 ft. Then the total area of the floor is
(length of floor)(width of floor) = (48 ft)(12 ft + 16 ft) = 1344 ft^2
The _____ a0 of a segment divides the segment into two segments of equal length.
The Midpoint of a segment divides the segment into two segments of equal length.
Answer:
Midpoint
Step-by-step explanation:
The midpoint is the point on the segment halfway between the two endpoints. In some cases the midpoint of a segment can be found simply by counting.
For example in a straight line between (2,0) and (6,0) the midpoint would be located on the point (4,0).
Simplify 4x2(2x2− 8x + 6). (1 point) 8x2− 32x + 24 6x2− 32x + 24 6 − 32x + 24x2 8x4− 32x3+ 24x2
the asnwer is most likey 12x^4-32x^3+24x^2
Answer:
Last option: [tex]8x^4-32x^3+24x^2[/tex]
Step-by-step explanation:
Given the expression [tex]4x^2(2x^2-8x + 6)[/tex], you need to remember the Product of powers property, which states the following:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Knowing this, you can apply the Distributive property. Therefore, you get:
[tex](4x^2)(2x^2)-(8x)(4x^2) +(6)(4x^2)=8x^{(2+2)}-32x^{(1+2)}+24x^2=8x^4-32x^3+24x^2[/tex]
You can observe that this matches with the las option.
is a line best fit appropriate for the data? explain why or why not
30 points!
Answer:
no
Step-by-step explanation:
a line is better for a more constant and organized data. this data is unorganized and is scattered. this would be best for this type of dara
Fourteen is 20% of what
Answer: 14 is 20% of 70
the national flag of scotland has a white diagonal on a blue backround Tracy is sewing a scottish flag she knows that the length of one diagonal will be 15 feet and the flag will be 9 feet high to the nearest foot how long will the scottish flag be
The answer is 12
a² = c² - b²
a² = 15² - 9²
a² = 225 - 81
a² = 144
a = √144
a = 12
Answer:
12 ft
Step-by-step explanation:
The diagonal divides the flag into 2 right triangles.
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse (diagonal ) is equal to the sum of the squares on the other 2 sides.
let x be the length, then
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
The length of the flag is 12 ft
Which scenario could be represented by the algebraic expression n/12?
Answer:
Step-by-step explanation:
A pie weighs n pounds. How much would one serving weigh if the entire pie were to be shared equally among 12 people?
the sum of the real numbers x and y is 25. their difference is 13. what is the value of xy?
The sum of the real numbers x and y is 25 and their difference is 13. To find the value of xy, we need to solve a system of equations. The value of xy is 114.
Explanation:To solve this problem, we need to set up a system of equations based on the given information. Let's denote x and y as the two real numbers. The sum of x and y is 25, so we can write the equation x + y = 25. The difference between x and y is 13, so the equation becomes x - y = 13. To find the value of xy, we need to solve this system of equations.
First, let's add the two equations together. (x + y) + (x - y) = 25 + 13. This simplifies to 2x = 38. Dividing both sides by 2, we find x = 19.
Now, we can substitute the value of x into one of the original equations (x + y = 25) to solve for y. 19 + y = 25. Subtracting 19 from both sides, we get y = 6.
Therefore, the value of xy is 19 * 6 = 114.
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Please help.. will mark Brainliest!
Answer:
128 degrees, so C is again the answer.
Step-by-step explanation:
Since angles 3 and 11 are corresponding(from your previous question), angles 1 and 11 will add up to 180 degrees, since a line is that long. Therefore your answer is 180-(degrees of angle 1)= 180-52= 128
m∠11 = 128°.
A line that cuts three parallel lines forms congruent angles which means they measure the same.
In this problem m∠1 = 52° = m∠4 = m∠5 = m∠8 = m∠9 = m∠12, and m∠2 = m∠3 = m∠6 = m∠7 = m∠10 = m∠11.
To calculate m∠11, we know that m∠12 = m∠1 = 52°, the sum of the angle of m∠11 and m∠12 is 180°. Then:
m∠11 + m∠12 = 180°, with m∠1 = 52° = m∠12
m∠11 + 52° = 180°
m∠11 = 180° - 52°
m∠11 = 128°
There are 36 squares in the model.What is the result of 36 divided by 3
Answer:
The result of 36 divided by 3 is 12
Answer:
12 is the answer
Step-by-step explanation:
Theo has $5 more than denise and denise has $11 more than rudy . Together , they have $45. How much money does denise have?
Answer:
Denise has $17
Step-by-step explanation:
T = Theo, D = Denise, and R = Rudy
T + D + R= 45
(D+ 5) +( D)+ (D - 11) = 45
3D -6 = 45
3D = 51
D = 17
4+ 2 sin x=14-8 sin x for 0° < x < 180°
Answer:
x = 90° or π/2 rad
Step-by-step explanation:
4+ 2 sin x=14-8 sin x
2 sin x + 8 sin x = 14 - 4
10 sin x = 10
sin x = 1
Using a calculator
x = sin[tex]sin^{-1}[/tex]1
x = 90° or π/2 rad
x = 90° or π/2 rad
What is the best way to learn trigonometry?
If you are in high school, take Algebra one or two, Trigonometry, Analytic Geometry, or Precalculus. If you're in college take College Algebra, Trig, or then Calculus.
‘IT IS HARD.’ WHY IS TRIGONOMETRY IMPORTANT?It really is not hard.The reason why trigonometry is very important lies all around us everyday, although most of us are blissfully unaware.Navigation or surveying are also heavily dependent on trigonometry.So, the is trigonometry important.4+ 2 sin x=14-8 sin x
2 sin x + 8 sin x = 14 - 4
10 sin x = 10
sin x = 1
Using a calculator
x = sin1
x = 90° or π/2 rad
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Question 1 of 10
2 Points
The slope of the line below is – 3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
(5.-7)
Answer:
[tex]\large\boxed{y+7=-3(x-5)}[/tex]
Step-by-step explanation:
[tex]\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_2)-point\\\\\text{We have}\ m=-3\ \text{and}\ (5,\ -7).\\\text{Substitute:}\\\\y-(-7)=-3(x-5)\\y+7=-3(x-5)[/tex]
A sphere has a diameter of 12 ft. What is the surface area of the sphere? Express the answer in terms of pi.
Recall the formula SA=4 pi r^2.
pi ft^2
Answer:
[tex]SA=144\pi\ ft^2[/tex]
Step-by-step explanation:
We know that the diameter of the sphere is 12 feet.
By definition the radius of the sphere is:
[tex]r =\frac{d}{2}[/tex]
Where d is the diameter of the sphere
Then
[tex]r =\frac{12}{2}[/tex]
[tex]r =6\ ft[/tex]
Now we calculate the surface area of the sphere using the formula
[tex]SA=4\pi r^2[/tex]
[tex]SA=4\pi (6)^2[/tex]
[tex]SA=4\pi(36)[/tex]
[tex]SA=144\pi\ ft^2[/tex]