Answer:
8 - 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]
To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.
Rationalizing the denominator, we have;
[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex] = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]
= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]
= [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]
= 2(4 - [tex]\sqrt{3}[/tex])
= 8 - 4[tex]\sqrt{3}[/tex]
The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]
expand and simplify (2x-3)(3x
+1)
Answer:
6x^2+2x-9x-3
=6x^2-7x-3
which expression is equivalent to 100 + 20
Answer:
20(5+1) is equivalent to 100 + 20
Answer: 20 (5 + 1)
Step-by-step explanation: 20 x 5 = 100
20 x 1 = 20
hopefully that helped :)
Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c
Answer:
B
Step-by-step explanation:
C=pi×d
C÷pi = Pi×d÷Pi
C/pi=d
Answer:
B
Step-by-step explanation:
Given
C = πd ( isolate d by dividing both sides by π )
[tex]\frac{C}{\pi }[/tex] = d
What is the number that fills in for AD?
the answer is in the picture
In the history of Major League Baseball, the most valuable player award has been won by players from 7 different countries. which countries were they
Answer:
United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama
Step-by-step explanation:
Taking a look at a list of Major League Baseball most valuable players, the countries are:
United States(most players are US-born).
Canada(Joey Votto in 2010).
Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).
Cuba(last Jose Abreu in 2020)
Venezuela(last Jose Altuve in 2017)
Japan(Ichiro in 2001).
Panama(Rod Carew)
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
PLEASE HELP 20 POINTS + BRAINLIEST IF ANSWERED Which method correctly solves the equation using the distributive property? Negative 0.2 (x minus 4) = negative 1.7 Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 4 = negative 1.7. Negative 0.2 x = 2.3. x = negative 11.5. Negative 0.2 (x minus 4) = negative 1.7. x minus 4 = 0.34. x = 4.34. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x + 0.8 = negative 1.7. Negative 0.2 x = negative 2.5. x = 12.5. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 0.8 = negative 1.7. Negative 0.2 x = negative 0.9. x = 4.5.
Step-by-step explanation:
oh oh can you capture a picture of it because you don't understand
24 more than Holly's age is 67
Answer:
This question isn't really complete, but if you're asking what Holly's age is, then that's just 67 - 24, which is 43.
So Holly is 43, if that's the question.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]h + 24 =67[/tex]
[tex]h = 43[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We are given that 24 more than Holly's age is 67.⸻⸻⸻⸻
[tex]\boxed{\text{Setting up an equation:}}\\\\\text{'24 more than Holly's age'} \rightarrow h + 24\\\\\text{'is 67'} \rightarrow = 67\\\\\boxed{h + 24 = 67}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'h'...}}\\\\h + 24 = 67\\-------------\\\rightarrow h + 24 - 24 = 67 - 24\\\\\rightarrow \boxed{h=43}\\\\\\\text{Holly should be 43 years old.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.
Answer:
x = his sister's height = 19 inches
Step-by-step explanation:
Let
x = his sister's height
Jahlil's height is given by the equation:
4x - 6 = 70
4x = 70 + 6
4x = 76
x = 76/4
x = 19 inches
x = his sister's height = 19 inches
Check:
4x - 6 = 70
4(19) - 6 = 70
76 - 6 = 70
70 = 70
# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
O 50%
O 25%
O 15%
O 20%
profit from selling 5 oranges is 20%
Profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
What is profit?" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."
Formula used
Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]
According to the question,
We know that,
Selling price = cost price + profit
Substitute the given condition in the selling price formula we get,
Selling price of 5 oranges
= Cost price of 5 oranges + Selling price of 1 oranges
⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges
⇒S.P of 4 oranges = C.P of 5 oranges
⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]
Substitute the value in the formula to get profit percentage,
Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]
= 25%
Hence, profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
Learn more about profit here
https://brainly.com/question/15036999
#SPJ3
The value of is between 4.7 and 4.8. Which of the following is a more precise approximation of ?
A.
between 4.81 and 4.82
B.
between 4.77 and 4.78
C.
between 4.78 and 4.79
D.
between 4.79 and 4.8
sorry ignore the selected one i didnt mean to
Answer: D. between 4.79 and 4.8
Step-by-step explanation:
The square root of 23 (√23) is 4.79583152331. We can obviously eliminate A and B. C and D is left. C is wrong because if we approximate the square root of 23, which is 4.79583152331, we get 4.79. 4.79 > 4.78, so it can't be C. Hope this helps :)
i'm on the same test-
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which mapping notation is correct?
(x, y) right-arrow (negative x, y)
(x, y) right-arrow (x, negative y)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (y, x)
Answer:
(x,y) right arrow (negative x , y)
Step-by-step explanation:
Mathematically, when we reflect a point over the x-axis; we have a result
The result is that the x- coordinate of the point reflected takes up a negative value
so what we have here is that;
(x,y) becomes (-x,y) once reflected over the y-axis
So, traditionally, we add the arrow
So our answer is thus;
(x,y) right arrow (negative x , y)
Answer:
A.
Step-by-step explanation:
To indirectly measure the distance across a lake, Nachelle makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter
Answer:
207.68 m
Step-by-step explanation:
From the diagram,
ΔDEC is similar to ΔFGC
Therefore,
(DE)/(FG) = (DC)/(FC).............. Equation 1
make line DE the subject of the equation
DE = [(DC)(FG)/(FC)]................ Equation 2
From the diagram,
Given: DC = 190 m, FG = 142.1 m, FC = 130 m
Substitute these values into equation 2
DE = (190×142.1/130)
DE = 207.68 m
Hence the distance across the lake is 207.68 m
Applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Recall:
The corresponding side lengths of two triangles that are similar are always proportional to each other.Thus:
ΔCDE and ΔCFG are similar to each other
FG = 142.1 m
FC = 130 m
DF = 60 m
DC = 130 + 60 = 190 m
Therefore:
DE/FG = DC/FC
SubstituteDE/142.1 = 190/130
Cross multiply[tex]DE = \frac{190 \times 142.1}{130} \\\\\mathbf{DE = 207.68 $ m}[/tex] (nearest hundredth).
Therefore, applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Learn more about similar triangles here: https://brainly.com/question/11899908
Situation:
Find the age of
A student in Greece discovers a pottery
bowl that contains 28% of its original
amount of C-14.
Ent
N= Noekt
No
= inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Answer:
Step-by-step explanation:
I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:
[tex]28=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].28=e^{-.0001t}[/tex] . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.
ln(.28) = -.0001t Now it's easy to solve for t.
[tex]\frac{ln(.28)}{-.0001}=t[/tex] and
[tex]\frac{-1.272965676}{-.0001}=t[/tex] so
t = 12729.65676 years or rounded, 12730 years.
What is 240 : 60 in its simplest form
Answer:
4:1
Step-by-step explanation:
Two triangles are similar. A side of one is 2 units long. The corresponding side of the other is 5 units long. What is the ratio of:
A) their perimeters?
B) their areas?
Answer:
b
Step-by-step explanation:
What is the largest prime factor of the factorial 49!?
Answer:
13
Step-by-step explanation:
i just know
Answer:
,
Step-by-step explanation:
,
PLEASE HELP!!
Wesley initially filled a measuring cup with 5/6 of a cup of syrup from a large jug. Then he poured 1/2 of a cup back into the jug. How much syrup remains in the measuring cup?
Answer:
2/6 or 1/3
Step-by-step explanation:
We start off with 5/6 of a cup of syrup in a measuring cup.
Then Wesley pours out 1/2 of the syrup in the measuring cup.
Our equation looks like this:
5/6 - 1/2 = ?
However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).
Mulitiples of 6: 6, 12, 18, 24
Multiples of 2: 2, 4, 6, 8
6 is the LCD for the both of them.
Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)
1/2 x 3/3 = 3/6
Now we can substitue 3/6 into our original equation and solve it:
5/6 - 3/6 = 2/6
It's better to use the simplified answer, 1/3.
Hope it helps and good luck (●'◡'●)
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
There is step to step calculation
Hope is helpful
Help me out plz bbbhbbhh
the solution is in the picture ☝️
ANSWER: 240 hours
this is for n.12
Find the x in the kite below
Answer:
x = 5
Step-by-step explanation:
comment if you need explanation
Answer:
Step-by-step explanation:
It just so happens that x is the hypotenuse in the right triangle with sides 3 and 4. To find x we use Pythagorean's Theorem:
[tex]x^2=3^2+4^2[/tex] and
[tex]x^2=9+16[/tex] and
[tex]x^2=25[/tex] so
x = 5
What is the value of x to the nearest tenth?
A) 29.5
B)18.5
C)37.0
D)40.8
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?
[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]
RADIUS = 2
CHORD = 2
RADIUS --> XY , XZ , WX
( BEZ THEY TOUCH CIRCUMFERENCE OF THE CIRCLES AFTER STARTING FROM CENTRE OF THE CIRCLE)
[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]
THE AREA OF THE SHADED SECTOR FORMED BY OBTUSE ANGLE WXY.
[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]
AREA COVERED BY THE ANGLE IN A SEMI SPHERE
[tex]AREA = ANGLE \: \: IN \: \: RADIAN \times RADIUS[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
Total Area Of The Semi Sphere:-
[tex]AREA = \pi \times radius \\ \\ AREA = \pi \times 2 = 2\pi[/tex]
Area Under Unshaded Part .
Given a triangle with each side 2 units.
This proves that it's is a equilateral triangle which means it's all angles r of 60° or π/3 Radian
So AREA :-
[tex]AREA = \frac{\pi}{3} \times radius \\ \\ AREA = \frac{\pi}{3} \times 2 \\ \\ AREA = \frac{2\pi}{3} [/tex]
[tex] \green{Now:- } \\ \green{ \: Area \: Under \: Unshaded \: Part }[/tex]
Total Area - Area Under Unshaded Part
[tex] Area= 2\pi - \frac{2\pi}{3} \\ Area = \frac{6\pi - 2\pi}{3} \\ Area = \frac{4\pi}{3} \: \: ans[/tex]
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
Find the Average Number of Fruits eaten By Tony on a week:
Days of the week | Number of fruits
________________________________________
Sunday | 60
Monday | 40
Tuesday | 20
Wednesday | 40
Thursday | 80
Friday | 30
Saturday | 20
Answer:
41.43 fruits
Step-by-step explanation:
Average number of fruits= sum of fruits for each dat ÷ total number of fruits
[tex] \frac{60 + 40 + 20 + 40 + 80 + 30 + 20}{7} [/tex]
[tex] = \frac{290}{7} [/tex]
[tex] = 41.43 \: fruits[/tex]
Solve for x. Thank you
Answer:
solve for what exactly, there is no equation here
Step-by-step explanation:
please there's no equation here
Ifm22 = 115°, what is m21?
Answer:
Step-by-step explanation:
Solve the equation and enter the value of x below. 5 + 10(x-10) = -15
Answer: x = 9.
Step-by-step explanation: Plug in 9 as x.
5+10(9-10) = -15
= 15(-1)
= -15
Hence, x = 9.
The angle A of a triangle ABC is 20% less than the sum of other two angles. If angle C is [tex]\frac{2}{3}[/tex] times angle B, then find the value of angle B.
The diagram shows a right angled triangle 15cm 31 what is value of h round to 1 decimal place
explanation:
the hypotenuse is 15 cm with the opposite side being h cm.
The angle is 31°
Thus, using trigonometric ratio, we have;
h/15 = sin 31
h = 15 sin 31
h = 15 × 0.5150
h = 7.725
Approximating to 1 decimal place gives;
h = 7.7 cm
the lowest common multiple of two numbers is 91 and the sum of the rwo numbers is 20, what are the two numbers
Answer:
7 and 13
Step-by-step explanation:
The multiples of 91 are
1, 7, 13, and 91
Only 7 and 13 make 20
Answer:
Explanation
7x13
7x13=91
7+13=20