Step-by-step explanation:
=> 7/(5√3-5√2) × (5√3+5√2)/(5√3+5√2)
=> 7(5√3+5√2)/75-50
=> (35√3+35√2)/25.
after rationalising the denominator is 25.
hope this helps you.
Two line segments intersect as shown.
Given that point is the midpoint of CD what additional information will allow for the conclusion that AB is a perpendicular
bisector of CD?
1. CE congruent ED
2. AE congruent EB
3. m
4. m
(< mean angle)
Answer:
CE congruent ED
Step-by-step explanation:
A perpendicular bisector is a line segment which perpendicularly intersects another line, thereby dividing it into two equal parts. In fact, the Perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment’s endpoints.
The perpendicular bisector, AB, bisects CD at a point E, that is, the length CE is equal to ED. And the angle formed between the two lines is 90 degrees.Therefore, the additional pertinent information that allows for the conclusion that AB is a perpendicular bisector of CD is that "CE congruent ED".
The ratio of Jay age to Hena's age to Sally age is 4:3:6.Jay is 24 years old
(a)Find Sally's age.
(b)What is their total age?
Answer:
1. Write It Out:
Jay 4: Hena 3 : Sally 6
Jay is 24 years old.
2. Solve
So first you find 24/4 to get 6. This means Jays age was divided by 6 to get his ratio number. Showing that Hena's and Sally's is divided by 6 as well to get there ratios. Now what you need to do is mulitipy Hena and Sallys ratio by six to find there age's.
Hena: 3x6= 18 years old
Sally: 6x6= 36 years old
(Jay: 4x6= 24 years old)
Now to find there total age add them up...
18+36+24= 78
A. Sally is 36
B. 78
Answer:
Sally is 36 years old.
their total age is 78 years.
Step-by-step explanation:
[tex]4 + 3 + 6 = 13[/tex]
that's the total ratio
Jay is 24 years old and his ratio is 4
so assume the total age to be
[tex]x[/tex]
[tex]4 \div 13 \times x = 24[/tex]
[tex]4x \div 13 = 24[/tex]
[tex]4x = 24 \times 13 \div 4[/tex]
[tex]x = 78 \: total \: age[/tex]
t
[tex]sally \: age = 6 \div 13 \times 78[/tex]
[tex]sally \: is \: 36years \: old[/tex]
1.If P ={ a, b, c, d, e,f g}
Q = { a, c, d, f} and R = { d, e ,f, g, h, i,j}
Then ( P Q) =
2.T ={p,q,r,s,t} . The number of subsets of T is?
Answer:
I think it would be ( a , b , c , d , e , f , g , )
Step-by-step explanation: It is combining both P and Q together in one set but don't add the same member if they are in both set
-8y=-4x slope with explanation
Answer:
slope = 1/2
Step-by-step explanation:
-8y = -4x
y = 1/2x
y = mx
m = 1/2
slope = 1/2
Janice buys four boxes of paper clips . She pays with a $ 10 bill and receives $ 6.08 in change . What is the price of one box of paper clips ?
Answer:
$0.73 per paper clip
Step-by-step explanation:
So to start off you want to find out how much she paid for the paper clips. We know that she paid with a 10 dollar bill and she got $6.08 in change. Now just subtract to find the amount.
10-6.08 which is 2.92
So she paid $2.92 for 4 boxes of paper clips.
The question asks for 1 box So you divide.
2.92/4 which is 0.73
The answer is $0.73 per box of paper clip.
Which type of soil holds the most water?
silt
sand
loem
clay
Answer:
Clay
Step-by-step explanation:
Clay soil has small, fine particles, which is why it retains the most amount of water. Sand, with its larger particles and low nutritional content, retains the least amount of water, although it is easily replenished with water. Silt and loam, with medium-size particles, retain a moderate amount of water.
if r=3 cm,s=4cm find the area of the shaded area?
Answer:
hope it helps.............
Answer:
Step-by-step explanation:
π[tex]S^{2}[/tex]-π[tex]r^{2}[/tex] is equal to the area of the shaded area
π[tex]4^{2}[/tex]-π[tex]3^{2}[/tex]
(put this into your calculator)
this equals to 7π
which approximates to 21.99 [tex]cm^{2}[/tex]
and it rounds to 22 [tex]cm^{2}[/tex]
Annie ran a total of 55.3 miles of 7.75 days about how much did she run each day
Answer:
7.1
Step-by-step explanation:
All you have to do is divide.
Which describes the difference between the two sequences?
1st sequence: 1/4, 1/2, 3/4, 1
2nd sequence: 13, 39, 117, 351
Answer:
The first sequence is an arithmetic sequence having a constant difference of 1/4 while the second one is a geometric sequence having a common ratio of 3.
Answer: C
Step-by-step explanation:
can someone help me please
use the intercepts and graph the equation
x+5y=10
Answer:
5+what gives u 10 5+5=10
Josh mixes blue and white paint to make a lighter shade of white. He needs the ratio of blue to white paint to be 3:2 to get the desired color. If he uses 15 drops of blue paint, how many drops of white paint does he need to use
Answer:
15 drops of blue to 10 drops of white paint.
Step-by-step explanation:
multiply 3 by 5 to get 15
multiply 2 by 5 to get 10
so 10 drops of white paint.
I. Odd one out :
1. a.Sick b. tired c. sore d. fit
Answer:
D: Fit
Step-by-step explanation:
It is the only word that does not pertain to the feelings of being sick or ill.
Which expression can be simplified to find the inverse of y=2x^2
Answer:
easy
Step-by-step explanation:
its B
I need help on the second part where you identify if the examples are equal
Answer:
No equalStep-by-step explanation:
Let's make it simpler:
a/b = x, c/d = y, e/f = zWe have:
(x/y)/z = x/y*1/z = x / (yz) x/(y/z) = x*z/y = xz/yFurther steps
(a/b) / (ce/df) = (ace) / (bdf)(ae/bf)/(c/d) = (ae/bf)*(d/c) = (ade)/(bcf)As you see the end results are different
[tex]\frac{7}{\sqrt{3}}[/tex]
Need help ASAP 80 points ?!!!
Answer:
f(6)=5+2(x)
f(6)=5+2(6)
f(6)=5+12
f(6)=17Step-by-step explanation:
Can someone help me please :)?
Define brittleness and strength
Answer:
brittleness is weak and breaks easily and is little to no strength, strength means strong and mighty and is tough, very durable
Step-by-step explanation:
I know the definitions
Find the angle of rotation that maps A onto A''.
Answer:
The answer to this question is 45 degrees.
Answer:
the answer is 150
Step-by-step explanation:
2. in the expression 9 to the power of -12, what does
the negative exponent mean?
Answer:
Step-by-step explanation:
x^-n = 1/x^n
The negative exponent means means raise the reciprocal to the nth power
ANswer this question
1+1=3
Answer:
parallel
Step-by-step explanation:
as you can see in the image, the lines are parallel. Since both lines have the same slope, just a different y-intercept, they're parallel.
Find the missing number so that the equation has no solutions.
2x + 9 = = x-1
Submit
Answer:
x=-10
Step-by-step explanation:
2x +9= x-1
2x-x=-9-1
x=-10
solve the inequalities: x(x+2)(x-7)≤0
Answer:
x[tex]\leq[/tex]-2 or 0≤x≤7
Step-by-step explanation:
PLEASE HELP!!! asappp i dont understand
Answer:
x = 80°
Step-by-step explanation:
100° and x° are adjacent angles on a straight line and sum to 180° , that is
100° + x = 180° ( subtract 100° from both sides )
x = 80°
What is the area of a circle if the circumference is 16
100 POINTS PLEASE HELP
What are the coordinates of the image of the point (−2, 6) after a clockwise rotation of 90° about the origin?
(−6, −2)
(6, 2)
(2, −6)
The rule is
(x,y)=(y,-x)So
Our coordinate is (-2,6)
Rotated point
(6,-(-2))(6,2)Option B
Answer:
(6, 2)
Step-by-step explanation:
Rotation rules about the origin:
90° clockwise (or 270° counterclockwise): (x, y) → (y, -x)180° clockwise (or 180° counterclockwise): (x, y) → (-x, -y)270° clockwise (or 90° counterclockwise): (x, y) → (-y, x)Therefore, to rotate (-2, 6) clockwise 90° about the origin:
⇒ (-2, 6) → (6, -(-2)) → (6, 2)
Explain why the exponents cannot be added in the products 12 to the third power times 11 to the third power
Answer:
Because the exponent rule that let's the base to the sum of the exponents power equal the base too the x power times the base to the y power states that the bases must be the same. And the bases 12 and 11 are not equal.
Solve 4 x + 7) = 24.
Answer:
x=17/4
Step-by-step explanation:
Angela enjoy swimming and often swims at a city pace to burn calories at this pace Angela can’t swim 1700 m in 40 minutes. A: what is Angela‘s unit rate, this is kind of an answer but I think it is 42.5
B: what is the rate unit