Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]
The simplified form of the square root of 3/8 is (√6) / 4.
To simplify the square root of 3/8, we can simplify the numerator and denominator separately.
For the numerator, we take the square root of 3:
√3
For the denominator, we take the square root of 8:
√8
Now, let's simplify each of them:
√3 cannot be simplified further because 3 is a prime number.
√8 can be simplified by factoring out the perfect square:
√8 = √(4 × 2)
Since 4 is a perfect square (2² = 4), we can take it out of the square root:
√8 = 2√2
Now, let's put the simplified numerator and denominator together:
√3/8 = √3 / (2√2)
To rationalize the denominator, we multiply the expression by the conjugate of the denominator:
(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)
Simplifying the denominator:
(√3√2) / (2√4) = (√6) / (2 × 2)
Simplifying further:
(√6) / (2×2) = (√6) / 4
Therefore, the simplified form of the square root of 3/8 is (√6) / 4.
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Find the number of faces, edges, and vertices of this shape.
Help ASAP, thanks!
which of the following is equivalent to 7x+5<-2(4x-3)
x>11
-x<1
15x<-11
15x<1
Answer:
7x+5< -8x+6
=15x<1
The equivalent inequality is 15x<1. Therefore, option D is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is 7x+5<-2(4x-3).
Now, 7x+5<-8x+6
Subtract 5 on both the sides of an inequality, we get
7x<-8x+1
Add 8x on both the sides of an inequality, we get
7x+8x<1
15x<1
Therefore, option D is the correct answer.
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12/5= 3/x
What is the value of x
Answer:
[tex] \frac{12}{5} = \frac{3}{x} \\ 12 \times x = 5 \times 3 \\ 12 x = 15 \\ x = \frac{15}{12} \\ = 1.25[/tex]
i hope it helped U
stay safe stay happy
Will mark as brainliest!
Answer:
[tex]f=12-\frac{t}{20}[/tex]
Step-by-step explanation:
ILL GIVE BRAINLIEST
evaluate the expression. 2•7(3^2)/3
Answer:
[tex] \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you[/tex]
913,256 write the digit in the ten thousands place
Answer:
1 is in the ten thousands, also know as 10,000
simplify given
[tex] \sin3 \alpha \div \sin \alpha + cos \alpha + cos3 \alpha \div cos \alpha - sin \alpha [/tex]
Step-by-step explanation:
Hey there!
Please see attached picture for your answer.
Hope it helps!
An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.
Answer:
X=2
Step-by-step explanation:
8-x=6
there the answer is 2
Find the midpoint of the line segment from (-4,-3) to (3,3)
Answer:
It is (-0.5, 0)
Step-by-step explanation:
Mid-point formular:
[tex]{ \bf{midpoint = (\frac{x_{1} + x _{2} }{2} , \: \frac{y_{1} + y_{2} }{2}) }}[/tex]
x1 is -4
x2 is 3
y1 is -3
y2 is 3
[tex]{ \sf{ = ( \frac{ - 4 + 3}{2} , \: \frac{ - 3 + 3}{2}) }} \\ \\ { \sf{ = ( - \frac{1}{2} , \: \frac{0}{2}) }} \\ \\ = { \sf{( - 0.5, \: 0)}}[/tex]
Devon wants to write an equation for a line that passes
through 2 of the data points he has collected. The points
are (8, 5) and (-12, -9). He writes the equation
7x-10y=3. Is this a
reasoning.
good model? Explain your reasoning.
Answer:
7x-10y=6
Step-by-step explanation:
Firstly, supervise 7x-10y=3 using the coordinates of one from the known points
7*8-10*5=3
6=3 It is not correct, so the equation is uncorect
Find the correct equation
The common equation is y=mx+b
5=8m+b
-9=-12m+b
Both equations are simultaneous.
-9-5= -12m+b- (8m+b)
-14=-20m
m=0.7
b=5-5.6=-0.6
y=0.7x-0.6
0.7x-y=0.6
7x-10y=6- the correct answer
if 2x°and 3x°are adjacent angles in linear pair and find them
Step-by-step explanation:
2x°+3x°=180°[ sum of adjacent angle]
or,5x°= 180°
or,x°= 180°/5
x°=36°
2x°= 2× 36°= 72°
3x°= 3 × 36°= 108°
Solve this problem, and identify the percent, amount, and base.
What percent of
60is15 ?
Answer:
9
Step-by-step explanation:
60 is 15=9
abhivardhansinghrathore7979
Answer:
hlo
Step-by-step explanation:
which Id I s ths and if u needs we can play t or d join eew-vtej-rxt
Answer:
thanks for the point back
Step-by-step explanation:
thanks
In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?
Answer:
the answer is C 6x2 .....................
Line R is represented by the equation y=-2x+7 and Line Z is represented by the equation y=3x-3. At what point will line R and line Z intersect?
Answer:
I am confused!
Answer:
you just solve by doing equation 1&2 i guess the answer will come
Find the value of x
2,8,9,7,6x ; the mean is 6
Answer:
x=2/3
Step-by-step explanation:
The mean is just the average of all the terms. Therefore, you can set up an algebraic expression to solve for x.
[tex]\frac{2+8+9+7+6x}{5} =6[/tex]
[tex]2+8+9+7+6x=30\\26x+6x=30\\6x=4\\x=4/6=2/3\\x=2/3[/tex]
Plz help ASAP need fast plz will mark Brainlyist
Answer:
The correct answer is the third one. CIRCUMFERENCE
Area of the Shaded Region rectangle within reactanlge
Find the area of the shaded region with the following measurements:
Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
expand
64 - 16 [tex]a^{2}[/tex]
Step-by-step explanation:
Remember the formula a^2-b^2=(a-b)(a+b)
(x3)(x-5)
Fududeey
X=2
Answer:
-18 is the right answer..
can you pretty please solve this math equation for me 5+2=4
Compare 9/10 or 90percent'
Step-by-step explanation:
9/10
=0.9
90%
=90/100
=0.9
Hence, 9/10 = 90 %
15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.
Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
There are □terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561
Answer:
There are(2) terms in sequence1,3,9,27,81,243...6561
Step-by-step explanation:
1,3,9,27,81,243,729,2187,6561
There are 8 terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561.
To determine the number of terms in the given sequence, we can observe that each term is obtained by multiplying the previous term by 3. Starting with the first term, which is 1, we can continue this pattern to find subsequent terms.
1 * 3 = 3
3 * 3 = 9
9 * 3 = 27
27 * 3 = 81
81 * 3 = 243
243 * 3 = 729
729 * 3 = 2187
2187 * 3 = 6561
As we can see, the sequence follows a pattern of multiplying each term by 3. In total, we have gone through 8 terms to reach 6561.
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A pole that is 2.8 m tall casts a shadow that is 1.46 m long. At the same time, a nearby building casts a shadow that is 50.25 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
96 m
Step-by-step explanation:
Create a proportion where x is the height of the building:
[tex]\frac{2.8}{1.46}[/tex] = [tex]\frac{x}{50.25\\}[/tex]
Cross multiply and solve for x:
1.46x = 140.7
x = 96
So, the height of the building is approximately 96 m tall
22b^9 divided by -2b^5
Answer:
-11 bytes4Step-by-step explanation:
11. Which of the following equations has NO
solution?
A. a +2=a+2
B. a=-a + 2
C. a + 2 = a-2
D. a + a=2
HEELPP:(
Answer:
a + 2 = a-2
step-by-step explanation
"the sum of a number and 4."
Answer:
The sum of a number and 4 is
n + 4.
Without the value of n, nothing more can be said
Answer:
n + 4
Step-by-step explanation:
Let the number be n
Then we add ("sum up") n and 4 together.
n + 4
Find the slope of the line passing through the points (-5, 3) and (7, 9)
Answer:
For any two points (a,b) and (c,d) ,
the slope of the line is (d-b)/(c-a)
plug in your given values, let me know what you get
Step-by-step explanation: