Answer:
The wheel radius is 18
Step-by-step explanation: Just got it right
2 √3 / √7 - 3 rationalise
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question asks us to rationalise the given expression ! thus , we'll just have to remove the √7 from the denominator by any means.
well , let's start ~
[tex] \frac{2 \sqrt{3} }{ \sqrt{7 } - 3} \\ \\ \implies \: \frac{2 \sqrt{3} }{ \sqrt{7} - 3} \: \times \: \frac{ \sqrt{7} + 3}{ \sqrt{7} + 3} = \frac{2 \sqrt{21} + 6 \sqrt{3} }{( \sqrt{7) } {}^{2} - (3) {}^{2} } \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{7 - 9} \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{2} \\ \\ \implies \: \frac{\cancel{2}( \sqrt{21} + 3 \sqrt{3)} }{\cancel{2} } \\ \\\bold\red{ \implies \: \sqrt{21 } + 3 \sqrt{3}} [/tex]
hope helpful :D
In a state lottery, there are 12 finalists who are eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize? ways
Answer: 1320 ways
Step-by-step explanation:
In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.
So for the 1st prize we have 12 finalists
For the 2nd prize we have 11 finalists
And finally, for the 3rd prize we have 10 finalists
Using the multiplication principle:
Total number of ways = 12 x 11 x 10
= 1320
Therefore, there are 1320 ways the first, second, and third prizes be awarded
Subtract 7/10 - 3/22 . Simplify the answer.
Answer: 31/55 = 0.56364
Step-by-step explanation:
STEP 1: Simplify 3/22
Equation at the end of step 1:
7/10 - 3/22
STEP 2: Simplify 7/10
Equation at the end of step 2:
7/10 - 3/22
STEP 3:Calculating the Least Common Multiple : 3.1 Find the Least Common Multiple The left denominator is : 10 The right denominator is : 22
whats another way to write 11/9
Answer:
110/90
Step-by-step explanation:
There are infinite ways to write this, but the one above is one of the ways.
Answer:
There are many ways to write 11/9.
We can find equivalent fraction like 22/18 or 110/90.
We can turn it into a decimal (1.222222 the 2 repeats)
or we can turn it into a percent of 12.2222 (the 2 repeats)
Pls help need this to pass
Answer:
408in[tex]^{2}[/tex]
Step-by-step explanation:
1.) First, find the area of the base (**If you don't know how to do this, just find the length and width, then multiply them together). Since there aren't any other measurements, I'm guessing all sides are 12 inches (12x12=144).
2.) Next, find the area of the triangle. Use 12 and 11 as your measurements in this case (12x11=132).
3.) Now, divide your answer from step 2 (132) by 2 (132/2=66). This is because usually, triangles are HALF of the area of a square. If you skip this step, you will have made a cube instead of a pyramid.
4.) Multiply the answer from step 3 (66) by 4 (66x4=264), since there's 4 triangles on the pyramid.
5.) Add the answer from steps 4 (264) and 1 (144). This should get you the TOTAL surface area (408in[tex]^{2}[/tex]).
Which expression is equivalent to (15)(15-?)?
Answer:
C
Step-by-step explanation:
15 ^3 * 15 ^ -7 = 15^3 / 15^7 = 1 / (15^7 -3) = 1/(15 ^4)
Please Help!
Select all of the expressions that are equivalent to 10x-30.
Select all that apply.
Answer:
10(x-3)
5(2x-6)
option 1 and option 3
Solve the system of equations! I will mark branliest!
Answer:
x = -166, y = 34
Step-by-step explanation:
5(x+2y) - 3 = 3x+5
4(x-3y) - 50 = -33y
Open both equations
5x+10y - 3 = 3x+5
2x+10y = 8
4x-12y - 50 = -33y
4x+21y = 50
Now multiply -2 on both sides of 1st equation.
(easier to add both equations.)
-4x+-20y = -16
4x+21y = 50
Add both equations
x cancels out
y = 34
plug y back into other equation to find x
2x + 340 = 8
2x = -332
x = -166
Answer:
y = 34, x = -166
Step-by-step explanation:
Let's simplify the first equation.
5(x + 2y) - 3 = 3x + 5
We can multiply the 5 out:
5x + 10y - 3 = 3x + 5
Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:
2x + 10y - 3 = 5
Add 3 on both sides and subtract 10y on both sides.
2x = 8 - 10y
Divide 2 on both sides.
x = 4 - 5y
Now to the next equation!
4(x - 3y) - 50 = -33y
Multiply 4 out:
4x - 12y - 50 = -33y
Add 12y and 50 on both sides.
4x = -21y + 50
Now divide 4 on both sides!
x = -5.25y + 12.5
Now we have these equations:
x = 4 - 5y
x = -5.25y + 12.5
Therefore 4 - 5y = -5.25y + 12.5
Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:
0.25y = 8.5
Now multiply by 4 on both sides to bring y's coefficient to 1:
y = 34
Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132
(not just answer. need evidence)
Rania has 12 teaspoons of salt for a large recipe. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Rania have?
Answer:
4
Step-by-step explanation:
Heres how I got it!
12 tsp of salt=x of tablespoons
We know that for every 3 teaspoons, there is 1 tablespoon. So, we just need to divide!
12/3=4 tablespoons
What fraction lies halfway between 2/3 and 3/4
the fraction that lies will be one 1 half
Step-by-step explanation:
yes
Answer:
I believe its 17/24
Step-by-step explanation:
hope this helps
How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards
hold?
Area of base:-
side²2.5²6.25yd²Volume:-
Area of base×Height6.25(4)25yd³can some one help me this please?
Answer:
x=-2
Step-by-step explanation:
What’s the answer for this…
Solve for p
2p + 3 > 2 (p – 3)
Answer:
All real numbers
Step-by-step explanation:
[tex]2p+3 > 2(p-3)[/tex]
1. Distribute the 2 on the right side of the inequality.
[tex]2p+3 > 2p-6[/tex]
2. Cancel out the 2p on both sides of the equation since they are equal.
[tex]3 > -6[/tex]
The statement above is always true, meaning that p can be all real numbers, therefore having all real solutions.
A dog has a litter of 8 puppies. In how many ways can a group of 5 puppies be chosen?
The number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
Permutation and CombinationPermutation has to do with arrangement while combination has to do with selection.
From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:
8C5 = 8!/(8-5)!5!
8C5 = 8!/3!5!
8C5 = 8*7*6*5!/6*5!
8C5 = 8* 7
8C5 = 56ways
Hence the number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
Learn more on combination here: https://brainly.com/question/11732255
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4 less than four times a number is equal to three times the same number plus 1
Answer:
True
Step-by-step explanation:
5 x 4 - 4 = 16
5 x 3 + 1 = 16
if f(x)= -2x+3 (4-5), what is f(7).
Answer:
f(7) is -17
Step-by-step explanation:
Plug in seven for x:
-2 (7) + 3 (4-5)
-14 + 3 (-1)
-14 + -3
-17
Which of the following do not represent a function of x?
F
G
H
J
If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.
triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g
4 feet
5 feet
6 feet
7 feet
Answer:
6 feet
Step-by-step explanation:
C. 6 feet
Length of Side g is 6 feet
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given,
∠F = 49°
Length of side f = 7 feet
∠G = 40°
length of side g = ?
According Sine rule,
[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]
[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]
[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]
g = 5.96 ≈ 6
Hence, length of side g is 6 feet.
Learn more about Trigonometric functions
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Help ASAP!!!
Forks: 16, 8, ?
Spoons: 10, ? , 30
Answer:
Step-by-step explanation:
hi, here is a hard puzzle im stuck on
o = 0
xox = 3
oxxx = 24
oxoxx = 40
oooxox = 24
xxxo = ??????
Answer:
shouldnt that suppose to be 24
Step-by-step explanation:
oxxx and xxxo is kanda same isnt it/
Pls Help me :(
2. 75, 84, 90, 77, 84, 78, 91, 94, 83
Mean______ Median_______ Mode______
Answer:
Mean=83.9 Median=83.5Mode=83, 84
what percent of your daily intake of sodium would you eat if you had 6 cookies
Step-by-step explanation:
about 7% (not exactly 7%, just about)
Answer:
About 7% sodium.
The rest is information you may find important later.
For homemade chocolate chip cookies.
18.72% (For the recommended calorie intake of a man, 2,500 a day)23.4% (For the recommended calorie intake of a woman, 2,000 a day)__________________________________________________________
Questions about percentage? Feel free to ask me in the comments box.
1 2 3 4 5 6 7 8 9 kda kdhlad ha kdlahda dkahdlkh ak hakl
Answer:
free point ??
Step-by-step explanation:
thanks to you how r U doing
8. The drawing below represents a new garden that will be bordered with alternating sections of
brick and concrete. All of the sections will cover approximately the same area.
Section 1
I
А
If Section 1 uses concrete to cover approximately 9 square feet, which is closest to the total
area that will be covered with the concrete sections?
40 square feet
B. 55 square feet
C 70 square feet
D. 95 square feet
According to the information, it can be inferred that the option that is closest to the area occupied is 40 square feet (option A).
How to calculate the total area covered with brick and concrete?To calculate the total area covered with brick and concrete we must identify how many sections of brick the garden will have, according to the image it can be inferred that there are four sections of brick and concrete in total.
According to the above, what we must do is multiply the area of the section by the number of sections (4).
9 square feet × 4 = 36 square feet.So option A, 40 square feet is the closest to the total area occupied by bricks. Then it would be the correct option.
Learn more about square feet in: https://brainly.com/question/11426645
Which radical expression is equivalent to x 1/8
Answer:
B
Step-by-step explanation:
using the rule of exponents
[tex]x^{\frac{a}{b} }[/tex] = [tex]\sqrt[b]{x^{a} }[/tex]
then
[tex]x^{\frac{1}{8} }[/tex] ( with a = 1 , b = 8 )
= [tex]\sqrt[8]{x}[/tex]
Which situation is best modeled by the inequality h > 35
Answer: The answer is You must be at least 35 years old to be president.
Step-by-step explanation: i just did this
If a(x) = 2x - 4 and b(x) = x 2, which of the following expressions produces a quadratic function? (ab)(x) (startfraction a over b endfraction) (x) (a – b)(x) (a b)(x)
The expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).
A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two. The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The two function for the variable x is given as,
[tex]a(x) = 2x - 4[/tex]
[tex]b(x) = x +2[/tex]
These are the binary function, and the product of two binary function provide a quadratic function. The product or the multiplication of these two function will provide a quadratic function. Thus,
[tex]a(x) b(x)= (2x - 4)(x+2)\\(ab)(x)=2x^2+4x-4x-8\\(ab)(x)=2x^2-8[/tex]
Thus, the expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).
Learn more about the quadratic function here;
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Lamont sliced 5 small oranges into equal fifths. He then ate 6/5 of the oranges. How is this fraction written as a decimal number?
Answer: It is 1.2 in decimal number format
Please give brainliest if this makes the most sense!
Eric bought 16 apples. Each apple weighed 0.33 pound.
Answer:
5.28
Step-by-step explanation:
i hope this is the right answer. have a good day !
Answer:
The weight is 5.28 pounds
Step-by-step explanation:
16*0.33=5.28
If we know the value of b, the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.
A. True
B. False
Answer:
A True
Step-by-step explanation:
I am in 12th grade and make straight A's trust me on the answer
Yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.
What is Scatterplot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.
Given is the statement -
" If we know the value of [b] the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot ".
A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict change to the value of another. Mathematically, it is given by -
[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
The slope of the regression line can be used to estimate the correlation coefficient without looking at the scatterplot. For '+' slope, the correlation coefficient is positive and for '-' slope the correlation coefficient is negative.
Therefore, yes it is true that if we know the value of [b], the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot.
To solve more questions on scatterplots, visit the link below -
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