What square roots of 10 lies between which two whole numbers?
The square root of 10 lies between two whole numbers, 3 and 4. This concept can be understood using number sense and geometry.
The square root of 10 falls between two whole numbers. To determine these two numbers, we need to consider the closest perfect square numbers to 10. These are 9 (the square root of 9 is 3) and 16 (the square root of 16 is 4). Hence, the square root of 10 must be somewhere between 3 and 4. Using a calculator, we find the approximate square root of 10 to be around 3.16. So, the square root of 10 lies between 3 and 4.
This kind of problem is related to number sense and geometry, especially when it comes to understanding square roots.
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My math problem is 920÷310 can somebody please help me
Answer:
2.967741935
Step-by-step explanation:
Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT? Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ
Answer:
m∠QRT = 90°
m∠QRT = m∠SRT
Step-by-step explanation:
Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.
RT is angle T bisector, so angles QTR and STR are congruent.
Consider two triangles QTR and STR. In these triangles:
TR ≅ TR (reflexive property); ∠QTR ≅ ∠STR (given);QT ≅ ST (given).By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so
QR ≅ SR ∠QRT ≅ ∠SRTAngles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to [tex]\frac{1}{2}\cdot 180^{\circ}=90^{\circ}[/tex]
So, true options are
m∠QRT = 90°
m∠QRT = m∠SRT
Answer:
The correct options are;
m[tex]\angle[/tex]QRT [tex]=90^o[/tex]
m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT
Step-by-step explanation:
Given information;
The triangle QST is isosceles with QT ≅ ST.
The angle STR ans RTQ are congruent.
Now, consider two triangles QTR and STR
In the following triangle
1. TR ≅ TR (having reflective property)
2. [tex]\angle[/tex]QTR ≅ [tex]\angle[/tex]STR (as given in question)
3. QT ≅ ST (as given in information)
Now, according to SAS postulate , two congruent triangle have congruent corresponding to their sides ,
Hence ,
1. QR ≅ SR
2. [tex]\angle[/tex]QRT ≅ [tex]\angle[/tex]SRT
Since, this above two angles are congruent they will have same measure
That will be
[tex]=(180/2)\\=90 ^o[/tex]
Hence, The correct options are;
m[tex]\angle[/tex]QRT [tex]=90^o[/tex]
m[tex]\angle[/tex]QRT [tex]=[/tex] m[tex]\angle[/tex]SRT
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The distance remaining for a road trip over several hours is shown in the table. Use information to find the constant rate of change in miles per hour.
A function has a maximum value of 12.375 and x-intercepts of 0.41 and 1.84
Answer:
Step-by-step explanation:
X=1.125 hope this helps!
7 3/4% as a fraction in simplest form
this probably isn't right but this is what the internet says 31/400
To convert 7 3/4% to a fraction in simplest form, add the whole number and the fractional part together, find a common denominator, and simplify if necessary.
Explanation:To convert 7 3/4% to a fraction in simplest form, we first need to convert the mixed number to an improper fraction. The whole number part, 7, can be written as 7/1. Adding the fractional part, we have (7/1) + (3/4). To add fractions, we need a common denominator, which in this case is 4. So, we rewrite the fractions as (28/4) + (3/4). Adding the numerators, we get 31/4. Since we want the fraction in simplest form, we can simplify 31/4 by dividing both the numerator and the denominator by their greatest common factor, which is 1. Therefore, 7 3/4% as a fraction in simplest form is 31/4.
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Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?
A)1
B)0
C)-1
D)-2
Answer:
B
Step-by-step explanation:
The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.
Explanation:To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.
Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.
Reviewing the options:
A) 1 is a solution because it is greater than -1B) 0 is a solution because it is greater than -1C) -1 is not a solution because it is not greater than -1D) -2 is not a solution because it is not greater than -1However, according to the question we need to find the number that is not a solution, so the answer is C) -1.
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Which is greater, 9 x 10-2 or 3 x 10-4? How many times
greater is the number you chose than the other number?
Explain your reasoning.
Final answer:
[tex]9 \times 10^{-2 }(0.09)[/tex] is greater than [tex]3 \times 10^{-4} (0.0003)[/tex], and is 300 times greater.
Explanation:
To determine which is greater between [tex]9 \times 10^{-2 }[/tex] and [tex]3 \times 10^{-4}[/tex]we need to understand how to interpret numbers in scientific notation. The expression [tex]9 \times 10^{-2 }[/tex] means 9 times 1 following 2 zeroes to the left, resulting in 0.09. In the case of [tex]3\times 10^{-4}.[/tex] it means 3 times 1 following 4 zeroes to the left, producing 0.0003.
Comparing these values, [tex]9 \times 10^{-2 }[/tex] is clearly the larger number because 0.09 is greater than 0.0003. To find out how many times greater it is, we divide the larger number by the smaller one: 0.09 / 0.0003 equals 300. Therefore, [tex]9 \times 10^{-2 }[/tex]is 300 times greater than [tex]3\times 10^{-4}.[/tex]
The hypotenuse of a right triangle is 13 inches. If the long leg is 7 inches longer than the short leg, find the lengths of the leg using the Pythagorean theorem
Answer:
The length of the short leg is 5 inches and the leg of the long leg is 12 inches
Step-by-step explanation:
Let
a -----> the long leg of a right triangle
b ----> the short leg of a right triangle
c ----> the hypotenuse of a right triangle
we know that
Applying the Pythagoras Theorem
[tex]c^{2} =a^{2}+b^{2}[/tex] -----> equation A
we have that
[tex]a=b+7[/tex] -----> equation B
[tex]c=13\ in[/tex] ----> equation C
Substitute equation B and equation C in equation A and solve for b
[tex]13^{2} =(b+7)^{2}+b^{2}[/tex]
[tex]169=b^2+14b+49+b^2[/tex]
[tex]2b^2+14b+49-169=0[/tex]
[tex]2b^2+14b-120=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]b=5\ in[/tex]
see the attached figure
Find the value of a
[tex]a=b+7[/tex] ----> [tex]a=5+7=12\ in[/tex]
therefore
The length of the short leg is 5 inches and the leg of the long leg is 12 inches
The lengths of the leg : 12 and 5
Further explanationQuadratic function is a function that has the term x²
The quadratic function forms a parabolic curve
The general formula is
[tex]\large {\boxed {\bold {f (x) = ax ^ 2 + bx + c}}}[/tex]
where a, b, and c are real numbers and a ≠ 0.
There are 3 ways to solve quadratic equations
a. factoring b. perfect squared c. quadratic formula
We use the factoring method
Quadratic equation x² + bx + c = 0 is equivalent to quadratic equation
[tex]{\displaystyle {x ^ 2 + (p + q) \times \: pq}}[/tex]
where p + q = b and px q = c
for a = 1, the result of factoring is (x + p) (x + q)
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
c² = a² + b²where c = hypotenuse
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
The hypotenuse of a right triangle is 13 inches
then c = 13
If the long leg is 7 inches longer than the short legthen a = b + 7
Then the phytagorean equation becomes:
(b + 7)² + b² = 13²
49+14b+b²+b²=169
49+14b+2b²=169
2b²+14b-120=0
b²+7b-60=0
factoring
(b-5)(b+12)=0
b=5 or b=-12
we use positive number ⇒5
So :
the long leg = b+7=5+7=12
the short leg = b = 5
Learn more
the triangle angle
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Prove the converse of the Pythagorean Theorem
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Use Pythagoras' theorem
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Keywords : Pythagorean Theorem , hypotenuse, the long leg
Is this the right answer?
Answer:
It would be -22, not 22%. She is $22 in debt, which is why it is negative.
Jessica's home town is a mid-sized city experiencing a decline in population. The following graph models the estimated population if the decline continues at the same rate. Select the most appropriate unit for the measure of time that the graph represents. A. hours B. years C. weeks D. days
Answer:
C on Plato
Step-by-step explanation:
Raymond buys bottles of water at 2 dollars each and a large pizza at 13 dollars. The total costar 21 dollars. How many bottles of water did Raymond buy?
Answer:
4
Step-by-step explanation:
$21-$13=$8
$8÷$2=4 bottles
What inequality is graphed below?
x < -6
x ≤ -6
x ≥ -6
Answer:
x ≥ -6
Step-by-step explanation:
How many real solutions does the function shown on the graph have?
No real solutions
One real solution
Two real solutions
Cannot be determined
Answer:
0 because it doesn't cross the x-axis
Step-by-step explanation:
Interpreting the graph, it is found that the function has no real solutions.
The number of different real solutions that a function has is given by the number of times it crosses the x-axis(also known as the horizontal axis) on the graph.
In this problem, the function never crosses the x-axis, thus, it has zero real solutions.
A similar problem, in which the real solutions are taken from a graph, is given at https://brainly.com/question/16349072
An architect draws a blueprint of a house. He draws the living room on the blueprint as 4.5 in. long by 6 in. wide with a scale of 1 in. for every 4
ft. He draws a second copy of the blueprint with a scale of 1 in. for every 3 ft. How many inches long should the living room be in this second
blueprint?
Answer:
the answer is 8.5
Step-by-step explanation:
yeet
Answer:
I think the closest would be 8 :3
−64=6(5n−3)+2(n−7)-64=6(5n-3)+2(n-7)
Answer:
no solution
Step-by-step explanation:
30n-18+2n-14-64=30n-18+2n-14
32n-96=32n-32
-96=-32<-----false statement, therfore it is no solution
Subtraction fraction answer for 13 3/16 Subtract 2 1/4
Answer:
10.9
Step-by-step explanation:
So you add or subtract the number, leaving the bottom number the same and then simplify if you need to.
How are absolute values used to describe quantities ?
Answer:
Absolute value is a number's distance from 0, so when comparing quantities, such as positive and negative, the greater absolute value is of that number.
For ex:
|-11| > |6| , because |-11| = 11, |6| = 6, and 11 > 6.
So, |-11| > |6|
Absolute values are used to describe the distance of any values from the point 0. Hence, absolute values are used to express the positive value a quantity.
Quantities may be positive or negative depending on their relative position from Zero.
Positive values are to the right of Zero; While negative values are to the left of Zero.
Since quantities maintain equal distance either to the left or right of Zero; Absolute values are only concerned with the magnitude of a quantity from Zero and not the direction.
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Solve -2(t+2)+5t=6t+11
Answer:
t=-5
Step-by-step explanation:
Answer:
t = -5
Step-by-step explanation:
Distribute by multiplication -2(t + 2), obtaining
-2t - 4 + 5t = 6t + 11.
Combine the t terms; this yields -4 = 3t + 11. Solving for 3t, we get
3t = -4 -11, or 3t = -15. Thus t must be -5.
The U.S. is 3.794 million square miles. Approximately 650,000 square miles are worked for food production. What percent of the U.S. is worked for food production?
Final answer:
Approximately 17.12% of the U.S. is worked for food production.
Explanation:
The U.S. is 3.794 million square miles in total. Approximately 650,000 square miles are worked for food production. To find out the percent of the U.S. that is worked for food production, divide the area worked for food production by the total area of the U.S. and then multiply by 100.
Percentage = (Area worked for food production / Total area of the U.S.) x 100
Percentage = (650,000 / 3,794,000) x 100 = 17.12%
i need help with a math problem right now it says A car rental agency advertised renting a car for $23.95 per day and $0.25 per mile. If Trevor rents this car for 3 days, how many whole miles can he drive on a $100 budget?
Round your answers to the nearest whole number.
The fasted train in the world can travel 300 feet per second. How fast is this in miles per hour?
(1 mile = 5280 feet)
Answer:
205 miles per hour.
Step-by-step explanation:
1 mile = 5280 feet so:
300 ft / second = 300/ 5280 miles/second.
There are 3600 seconds in an hour so
this converts to 300 * 3600 / 5280 miles per hour
= 204.55 miles per hour.
Hey!
-----------------------------------------------
Solution:
Let's use dimensional analysis!
[tex]= \frac{1mi}{5280ft} * \frac{3600}{1hr} * \frac{300ft}{1sec}[/tex]
[tex]= \frac{1,080,000}{5,280}[/tex]
[tex]= 204.454545...[/tex]
[tex]= 205[/tex]
-----------------------------------------------
Answer:
205
-----------------------------------------------
Hope This Helped! Good Luck!
Saiges spaceship traveled 588 kilometers in 60 seconds. Determine whether or not each spaceship trip below has the same speed as saiges spaceship
Answer:
Part 1) 441km in 45s --> Has the same speed as Saige's spaceship
Part 2) 215km in 25s --> Does not have the same speed as Saige's spaceship
Part 3) 649km in 110s --> Does not have the same speed as Saige's spaceship
Step-by-step explanation:
The complete question is
Saige's spaceship traveled 588 kilometers in 60 seconds.
Determine whether or not each spaceship trip below has the same speed as Saige's spaceship.
441km in 45s
215km in 25s
649km in 110s
we know that
The speed is equal to divide the total distance traveled by the total time
In this problem we have that
The speed of Saiges spaceship is equal to
[tex]\frac{588}{60}=9.8\ \frac{km}{sec}[/tex]
case 1) we have
441km in 45s
Find out the speed of the spaceship trip
[tex]\frac{441}{45}=9.8\ \frac{km}{sec}[/tex]
Compare the speed of the spaceship trip with the speed of Saiges spaceship
[tex]9.8\ \frac{km}{sec}=9.8\ \frac{km}{sec}[/tex]
therefore
Has the same speed as Saige's spaceship
case 2) we have
215km in 25
s
Find out the speed of the spaceship trip
[tex]\frac{215}{25}=8.6\ \frac{km}{sec}[/tex]
Compare the speed of the spaceship trip with the speed of Saiges spaceship
[tex]8.6\ \frac{km}{sec}\neq 9.8\ \frac{km}{sec}[/tex]
therefore
Does not have the same speed as Saige's spaceship
case 3) we have
649km in 110s
Find out the speed of the spaceship trip
[tex]\frac{649}{110}=5.9\ \frac{km}{sec}[/tex]
Compare the speed of the spaceship trip with the speed of Saiges spaceship
[tex]5.9\ \frac{km}{sec}\neq 9.8\ \frac{km}{sec}[/tex]
therefore
Does not have the same speed as Saige's spaceship
two numbers are in the ratio of 2to 3 if the smaller number is 18 what is the larger number
Answer:
27
Step-by-step explanation:
What is x minus 1???
Answer:
N/A
p-by-step explanation:
x minus 1 is already a simplified expression (can only be solved if you know x)
at 8 a.m. the temperature was -14 degrees by noon the tempature was 12 degrees. Find the change did it rise or drop?
Hello need it asap I will give you 5 star for all answer
Answer:x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2 f(2) = 2.5(2) - 10.5 g(2) = 64(0.5*2)
f(2) = 5 - 10.5 g(2) = 64(1)
f(2) = -5.5 g(2) = 64
3 f(3) = 2.5(3) - 10.5 g(3) = 64(0.5*3)
f(3) = 7.5 - 10.5 g(3) = 64(1.5)
f(3) = -3 g(3) = 96
4 f(4) = 2.5(4) - 10.5 g(4) = 64(0.5*4)
f(4) = 10 - 10.5 g(4) = 64(2)
f(4) = -0.5 g(4) = 128
5 f(5) = 2.5(5) - 10.5 g(5) = 64(0.5*5)
f(5) = 12.5 - 10.5 g(5) = 64(2.5)
f(5) = 2 g(5) = 160
6 f(6) = 2.5(6) - 10.5 g(6) = 64(0.5*6)
f(6) = 15 - 10.5 g(6) = 64(3)
f(6) = 4.5 g(6) = 192
If a flagpole that is 20 feet tall casts a 6 foot
shadow, how long a shadow would a building that
is 15 feet tall cast at the same time of day?
Answer:
4.5 foot shadow
Step-by-step explanation:
By looking at this you can make a ratio that very every 5 feet there is a 1.5 foot shadow.
So 1.5 x 3 = 4.5 foot shadow
(Very sorry If it is incorrect Good luck!)
What is 40.302 in word form
Answer:
Forty and three hundred two thousandths.
Step-by-step explanation:
40 = forty
300 = three hundred
.02 = two thousandths
Hope this helps.
Answer:
Step-by-step explanation:
Forty and three hundred two thousandths.
Suppose that the length of a rectangle is 4 times the width. If the area is 900 square feet, then what is the width of the rectangle, in feet?
Answer:
Width 15 feet
Step-by-step explanation:
Use formula
[tex]A_{rectangle}=\text{Width}\cdot \text{Length}[/tex]
Let x feet be the width of the rectangle.
If the length of a rectangle is 4 times the width of the rectangle, then the length is 4x feet.
The area of the rectangle is 900 square feet, so
[tex]900=x\cdot 4x\\ \\900=4x^2\\ \\x^2=225\ [\text{Divided by 4}]\\ \\x=\pm 15[/tex]
The width cannot be negative, then x=15 feet and 4x=60 feet.
Final answer:
To find the width of the rectangle when the length is 4 times the width and the area is 900 square feet.
Explanation:
To find the width of the rectangle:
Let the width be w feet.
Since the length is 4 times the width, the length is 4w feet.
Given that the area is 900 square feet, we can set up the equation w * 4w = 900 to solve for w.
4w² = 900
w² = 225
w = 15 feet
Therefore, the width of the rectangle is 15 feet.