Answer:
√25
= √( 5 x 5 )
= 5
√25 = 5
5 is an rational number, not an irrational number.
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}[/tex]
Jillian said, "√25 is irrational because it's a square root!" Why is
she incorrect?
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First let's see if we can simplify √25.
We can, by using either our calculator or our brains.
Anyway, √25=5 (5×5=25)
Now, let's take a look at what irrational numbers are.
[tex]\dagger[/tex] Irrational numbers. This set includes numbers with an infinite
number of digits after the decimal point. Irrational numbers
cannot be expressed as fractions (p/q form)
Can [tex]\LARGE\textbf{5}[/tex] be expressed as a fraction? Sure!
This is how it's done:-
Simply give it a denominator of 1:-[tex]\Large\text{$\displaystyle\frac{5}{1}$}[/tex]
As you can see, 5 is not irrational.
Henceforth, we conclude that [tex]\Large\text{$\sqrt{25}$}[/tex] is not irrational. Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
Given a sphere with radius r, the formula 4rr gives
O
A. the volume
• B. the surface area
•
C. the radius
D. the cross-sectional area
Answer:
b) The surface area
Step-by-step explanation:
Surface area of sphere formula,
→ 4πr²
Thus, option (b) is the answer.
- - - - -- - - - - - -- - - - - - - - - -- - - - - -- - - - - - - -- - - - - -- -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What does the formula 4πr² give?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]
Formula for Volume of a Sphere:-
[tex]\bold{V=\displaystyle\frac{4}{3} \pi r^3}[/tex]
So the answer is not Option A.
Formula for Surface Area of a Sphere:-
[tex]\bold{A=4\pi r^2}[/tex]
This looks exactly like the formula we need.
So the right answer is
[tex]\boxed{\boxed{\underline{\bold{Option\:B}}}}[/tex]
Good luck.- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -
What is 40 x 40? Solve that!
Answer: The answer is 1600.
Step-by-step explanation:
Answer:
1600
Step-by-step explanation:
40 * 40 = 1600
an easy way to figure this out is
4 * 4 = 16
add two zeros (since there are two zeros in 40 and 40)
1600 is your answer
hope this helps :)
The area of a triangle that has a base of 7 and a height of 17 is:
Answer:
59.5
Step-by-step explanation:
First we have to multiply 7 by 17 (7x17).
Then you have to divide it by 2.
1/2 X base x height
Please do provide a correct answer because other ways I will report/block you. Please be honest and help me, please.
Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team. The principal uses a computer to randomly select the name of a student from all the students in the school. With the computer program, it is possible to draw the name of the same student twice. If the principal selects the name of a student from the Acres on the first try, what is the probability she will draw the name of a student from the Acres on the second try?
A. 1/78
B.38/399
C.19/100
D.39/200
Answer:
incomplete
Step-by-step explanation:
please send the full information, I can't see students belonging to acers
The circle has a Circumference of a 9.42units. What is the area of the square? Use 3.14
The area of a square is the square of its side. The area of the square is 2.2477 units².
What is the area of a square?The area of a square is the square of its side. It is given by the formula,
Area of the square = a²
Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,
Circumference of the circle = 2πr
[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]
Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,
Area of the circle = a² = r²
[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]
[tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]
Hence, the area of the square is 2.2477 units².
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What is the diameter of the circle if the circumference is 18.8 cm round to the nearest tenth
Answer:
d= 6
Step-by-step explanation:
radius r = 2.9921129301276 cm
diameter d = 5.9842258602553 cm
circumference C = 18.8 cm
area A = 28.1258615432 cm2
Diameter of circle is 6cm, if the circumference is 18.8 cm
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.
The formula to find circumference is
C=2pi r
Given circumference is 18.8 cm, we need to find diameter.
To find diameter first we need to find radius
18.8=2×3.142×r
18.8=6.284r
Divide both sides by 6.284
r=2.99
We know that Diameter is two times of radius
d=2r
d=2×2.99
d=5.98=6
Hence diameter of circle is 6cm, if the circumference is 18.8 cm
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PLEASE HELP ASAP!!!!!
Answer:
37.66
Step-by-step explanation:
please help me!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
the area of a rectangle is always
length × width
so, here we have
8x³y³z⁷ × 7x³y⁸z⁴
since we don't have further information about the variables, we can't calculate a specific number, but we can simplify the result expression.
remember, factors with the same base can be combined (when multiplying terms of the same variable by different exponents, we summit add the exponents).
and multiplication is freely commutative : the sequence of factors does not matter.
8x³y³z⁷ × 7x³y⁸z⁴ = 8×7 × x³x³ × y³y⁸ × z⁷z⁴ =
= 56x⁶y¹¹z¹¹
Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of vertical angles.
What is a reasonable conjecture for Kathryn to make by recognizing a pattern and using inductive reasoning?
When a pair of lines intersect, the vertical angles are congruent.
When a pair of lines intersect, the vertical angles are acute.
When a pair of lines intersect, all of the angles formed are right angles.
When a pair of lines intersect, all of the angles formed are congruent.
Answer: I believe it would be when a pair of lines intersect, all of the angles formed are congruent.
Answer:
When a pair of lines intersect, the vertical angles are congruent.
:)
what do i do
its at 4:00 pm today
The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4). Which equation represents the function ?
The equation of the line will be given as y = -4x - (- 17/ 4).
What is an 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.
Given that:-
The equation of the line will be given as:-
y - y₁ = m ( x - x₁)
slope m will be calculated as:-
[tex]m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4[/tex]
The equation will be:-
y - (1/4) = -4( x + 1 )
y = -4x - (17/4)
Therefore the equation of the line will be given as y = -4x - (- 17/ 4).
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Maria walked 3/4 of a mile. Cody walked 6/10 of a mile. How much farther did Maria walk than Cody?
Answer:
She walked 3/20 more than Cody
Step-by-step explanation:
6/10 = 12/20, 3/4 = 15/20. 15/20 - 12/20 = 3/20
Answer:
3/4 = 15/20
6/10 = 12/20
15/20 > 12/20
Maria walked a further distance of 3/20 miles than Cody.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
What is the area of the trapezoid?
9 ft 2
12 ft 2
13 ft 2
13.5 ft 2
Answer:
13.5
Step-by-step explanation:
Paula earned 56% on her science test. If she got 14 problems correct, then how many questions were on the test?
please help me with this
Answer:
x=12m
Step-by-step explanation:
44 divide by 3 2/3 = 12
You have 10 shirts, 4 pairs of pants, and 3 pairs of shoes. How many outfits can you create?
Answer:
120 different outfits.
Step-by-step explanation:
10x4=40
40x3=
120
Which of the following is an example of an improper fraction?
OA. 4/5
O B. 6/7
O C. 10/3
O D. 3/10
Answer: C: 10/3
Step-by-step explanation:
An improper fraction is a fraction that's top number (numerator) is bigger than the bottom number (denominator)
Answer:
10/3
Step-by-step explanation:
Improper fractions are fractions where there is a larger number in the numerator than there is in the denominator. The numerator is the number on the top of the fraction, and the denominator is on the bottom. 10 is on top and it is greater than 3, so it is an improper fraction. Improper fractions can also be simplified. 10/3 can be simplified to 3 1/3.
Hope this helps!
Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back.
Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x
Answer options in photo
Answer:
here is the answer y = 15× - 80
4. Look at the composite figure below. A vertex of the square is the center of the circle. The side
length of the square and the radius of the circle is 8 units. To the nearest whole unit, what is the
area of the figure?
8 units
F 265 square units
G66 square units
H 215 square units
J 128 square units
EKSING TOWARD STAAR © 2014
Page
Answer:
Approximately [tex]215[/tex] square units.
Step-by-step explanation:
The area of this figure is equal to:
[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap}\end{aligned}[/tex].
The area of the square is [tex]8^{2} = 64[/tex] square units.
The area of the circle of radius [tex]r = 8[/tex] is [tex]\pi\, r^{2} = 8^{2}\, \pi = 64\, \pi[/tex] square units.
Refer to the diagram attached. In this figure, the overlap between the square and the circle is a sector of radius [tex]r= 8[/tex]. The angle of this sector is [tex]90^{\circ}[/tex]- same as the measure of the interior angle of the square.
The area of this sector would then be:
[tex]\begin{aligned} & \pi\, r^{2} \times \frac{90^{\circ}}{360^{\circ}} = 16\, \pi \end{aligned}[/tex].
Therefore, the area of the figure would be:
[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap} \\ =\; & 64 + 64\, \pi - 16\, \pi \\ \approx\; & 215 \end{aligned}[/tex].
If the mean of a set of data is 23 and the standard deviation is 4, what data value has a z-score of -1.5?
Answer:
17
Step-by-step explanation:
[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]
Therefore, the observed value that gives a z-score of -1.5 is 17
Select the correct answer.
What are the solutions to this quadratic equation?
Answer:
B. 4 - 2√10
Step-by-step explanation:
This is the value of x when you plug it into the equation.
Hope this helped!
Please help quickly! Will give points to 1st right answer!
Answer:
g(x) = log( x + 1 ) + 4
Step-by-step explanation:
f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.
please do not take this down i just need a dang answer
Solve X3 equals 1/8 can someone please help me
You meant x³ = 1/8? Then x = 1/2
Which of the following statistical variables is likely to be normally distributed? Select all that apply. A height of a sunflower plant 12 weeks after planting O B. distance between lines marking parking spaces along a city street O C. number of seconds a person is able to breathe out continuously D. length of earthworms found in a soybean field
The statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.
What is normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
Normally distributed data-
It is a common probability distribution.The Normally distributed data is the bell shape curve.All types of variables in environment are normally distributed such as, birth weight, height etc.In the provided option, option A talks about the height of sunflower, whereas option C talks about the breath of humans.
Thus, the statistical variables which is likely to be normally distributed are height of a sunflower plant 12 weeks after planting and number of seconds a person is able to breathe out continuously.
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Solve the interest and the amount to pay back on the following simple interest loan: $ 2,500 at 11% for 2 years.
Answer: $550
Step-by-step explanation: 2500 * 0.11 = 275 275 * 2 = 550
79 x 31 rounding or compatible numbers . show how you estimate
Answer:
80 × 30 = 2,400
Step-by-step explanation:
We can easily round 79 up to 80 and round 31 down to 30. This would make our expression 80 × 30, which is much easier to compute. We just take 8 × 3 (which is 24) and add two zeros onto the end of the number. This yields us an answer of 2,400 which is very close to the actual multiplication of 79 × 31 which is 2,449 (only 49 more than our estimation).
The function h(x) = (x + 3)2 + 2. How is the graph of h(x) translated from the parent graph of a
quadratic function, f(x) = xº? Select all that apply.
The graph of h(x) is shifted 3 units to the right of the parent graph.
O The graph of h(x) is shifted 2 units up from the parent graph.
The graph of h(x) is vertically compressed by a factor of
The graph of h(x) is a reflection of the parent graph.
The graph of h(x) has a different y-intercept from the parent graph.
Both graphs have two x intercepts.
The Answers are B,C, and E
I got this by graphing the function of h(x) and the parent function f(x) on the same graph and analogizing the shifts of h(x) from the parent graph f(x). Also the function included two different y-intercepts.
Help me oh please!!!!!!!!
Answer:
[tex]\frac{23a^2+6}{12a^2}[/tex]
Step-by-step explanation:
hope this helps:)
your friend's house is 3.9 miles north and 5.2 miles west of your bank how far is your friend's house from the bank
Hypotenuse H we need
Apply Pythagorean theorem
H²=P²+B²H²=3.9²+5.2²H²=6.5²H=6.5miAnswer:
6.5 miles far from the bank.
Step-by-step explanation:
→ AC = 3.9 miles (perpendicular)
→ BC = 5.2 miles (base)
→ AB = x (hypotenuse)
By using Pythagoras theorem the length of AB will be,
→ (Hypotenuse)²=(Perpendicular)²+(Base)²
→ AB² = AC² + BC²
→ AB² = (3.9)² + (5.2)²
→ AB² = 15.21 + 27.04
→ AB = √(42.25)
→ [ AB = 6.5 ]
Hence, friend's house is 6.5 miles away.
