Answer:
Value of blank 1 is 2
Value of blank 2 is 10
Step-by-step explanation:
We are given that a and b are the lengths of legs of right angle in right angled triangle .
b = 3
We are also given that c is the hypotenuse
c = hypotenuse = 7
To find the value of 'a' we will use Pythagoras theorem
[tex]Hypotenuse^2 = perpendicular^2 +base^2\\c^2=a^2+b^2\\7^2=a^2+3^2\\7^2-3^2=a^2\\\sqrt{7^2-3^2}=a\\\sqrt{40}=a\\2\sqrt{10}=a\\[/tex]
Value of blank 1 is 2
Value of blank 2 is 10
Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *
Find x, y and z to the nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
This is an example of the Altitude - on - Hypotenuse theorem.
The altitude that is perpendicular to the hypotenuse of a right triangle.
The two triangles formed are similar to the given triangle and to each other.
x² = (smaller part) × (larger part) of main hypotenuse
x² = 6 + 19 = 114 ( square root both sides )
x ≈ 10.68 ( nearest hundredth )
---------------------------------------------
y² = ( smaller part) × (whole part) of main hypotenuse
y² = 6 × 25 = 150 ( square root both sides )
y ≈ 12.25 ( nearest hundredth )
--------------------------------------------
z² = ( larger part) × (whole part) of main diagonal
z² = 19 × 25 = 475 ( square root both sides )
z ≈ 21.79 ( nearest hundredth )
Solve the equation.4[x+1/3]=20
Answer:
[tex]x=\frac{14}{3}[/tex]
Step-by-step explanation:
Open the brackets.
[tex]4x +\frac{4}{3}=20[/tex]
[tex]4x=\frac{56}{3}[/tex]
[tex]x=\frac{14}{3}[/tex]
Answer:
So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have
x+1/3=5
Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.
All we will be left with is x
x = 4 2/3
If the coordinate of vertex A is (-2,4), then the coordinate of vertex A' is
(-2,-4)
(2,-4)
(2, 4)
Answer:
A' = (2,4)
Step-by-step explanation:
I know this because it's the opposite of (-2,4)
Answer:
(-2, -4)
Step-by-step explanation:
Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2
Here A is the answer because it has more terms i guess
Can someone please help with this math problem I'd really appreciate it.
Answer:
[tex]\mathrm{F}[/tex]
Step-by-step explanation:
[tex]y+8=4(x-5)[/tex]
[tex]x=5\\y=-8[/tex]
[tex](-8)+8=4((5)-5)[/tex]
[tex](-8)+8=4(0)[/tex]
[tex]0=0[/tex]
Another easy way for points!!! FASTEST ANSWER=BRAINLIEST!!!
What is: 1x2x3x4x5x6x7x8x9x10?
the answer is 3628800
The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.
How to find the multiplication?This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.
To calculate 10!, use the following formula:
n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)
where n is the number to be taking the factorial of.
In this case, n = 10, so:
10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880
Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.
Find out more on multiplication here: https://brainly.com/question/10873737
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Find the volume of a cone with the radius of 14, and a height of 9. (Hint:
the volume of a cone is 1/3*b*h where the "b" is the area of the base of
the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for PI!!!*
Answer:
The answer is 1846.32 units³.
Step-by-step explanation:
Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Let π = 3.14,
Let r = 14,
Let h = 9,
[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]
[tex]v = 1846.32 \: {units}^{3} [/tex]
Which graph represents the solution for the equation 1/6 x = -2x + 5?
What’s the vertex of y=1/3(x+2)^2-5
Answer:
vertex is (2,-5)
Step-by-step explanation:
y = a(x – h)^2 + k
the vertex is (h,k) in the equation h =2 and k = -5
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
There are 11 g of drink mix for every ounce of water.
Step-by-step explanation:
In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.
[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]
[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]
The rate is:
[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]
There are 11 g of drink mix for every ounce of water.
Answer:
There are 11 g of drink mix for every ounce of water.
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7
Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
-2(x - 2)2 = -8(7 + y)
y = 1 / x²-x-6
y=-2+ V28+4x
y - 2+28+4x
Answer:
y=2+√28+4x
Step-by-step explanation:
Solve for x: 6x + 5 = 4x + 51
Answer:
x=23
Step-by-step explanation:
6x + 5 = 4x + 51
Take away 4x from both sides
2x + 5 = 51
Take away 5 from both sides
2x = 46
Divide both sides by 2
x=23
Answer: x=23
explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.
Find the value of x to the nearest degree.
Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
if the sample does not come from a normally distributed population?
mu >= 30
x >= 30
n>= 30
N>= 30
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Answer:
It's C.
Step-by-step explanation:
I took the test
Wyatt has 222 one dollar bills, 222 five dollar bills, and 222 ten dollar bills. How much money does he have in all?
Answer:
$3,552.00
Step-by-step explanation:
First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.
Here's the equation in what I call "Long Boi Form:"
222x5=1110 222x10=2220 1110+2220+222=3552
Here's the equation in what I call "Short Boi Form:" [Use this only if you
know PEMADAS!!!]
222+(222x5)+(222x10)=3552
Answer:
b
Step-by-step explanation:
29 40 40 40 40 41 51 56 62 63 whats the interquarile range
Answer:
At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.
Based on you doing so we take the 56-40 = 16 range
If you haven't included outside numbers
We take the 63-29 = 34 range
Step-by-step explanation:
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
0.35+0.3x=0.45+0.2x
0.35+0.03x=0.45+0.02x
35+0.03x=45+0.2x
35+0.03x=45+0.02x
Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?
Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112
Step-by-step explanation:
Step-by-step explanation:
Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)
We can Infer that each year afterwards it will do so.
So 1 year from now 28+28 = 56
2 years from now 56 + 56 = 112
And finally at 3 years 112+112 we arrive at our answer 224
Answer: So it would take 3 years to get to get to 224
Giving brainliest to anyone who answers
Answer:
[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]
Step-by-step explanation:
\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}
Answer:
[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]
[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]
[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]
[tex]$\frac{10y+21x}{15xy}$ \\[/tex]
\\-----------------------------------\\
[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]
[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]
What is the slope of a line perpendicular to y = –5x + 6? answers: A) –1∕5 B) 5 C) 1∕5 D) –5
Answer:
C) 1/5
Step-by-step explanation
When one line has a slope of m, a perpendicular line has a slope of −1/m
A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= [tex]\frac{60}{75}[/tex] · 100
= 0.8 · 100
= 80%
The percentage error of the student's measurement is 25%.
Given the following data;
Experimental value = 75 liters Real value = 60 litersPercentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, percentage error is given by this expression;
[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]
Substituting the values into formula, we have;
[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]
[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]
Note: The negative sign is neglected in percentage error.
[tex]Perecent \; error = \frac{1}{4} * 100[/tex]
Percent error = 25%
Therefore, the percent error is 25%.
Find more information: https://brainly.com/question/3105259
Solve for : 3 2 + −10 = 0. PLEASE HELP
Answer:
Step-by-step explanation:
32+(-10)
32-10
22 is not equal to 0
so its false
Answer: no solution
Step-by-step explanation:
Remove parentheses.
32+-10=0
Simplify 32+-10 to 32-10
32-10=0
Simplify 32-10 to 22
22=0
Since 22=0 is false, there is no solution.
please help me with this.
Step-by-step explanation:
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
Alternatively, the area can be found by calculating one-half of the side length times the apothem.
Hope this helps you.
Solve for d.
-10 =-2+1/2d
A d=-24
B. d=-16
C. d= -6
D. d=-4
Answer:
B.) -16
Step-by-step explanation:
-10=-2+1/2d
-8=1/2d
d=-8/1/2
d=-16
So B
could someone please help me figure this out...
Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”
====================================================
Work Shown:
The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.
(4x-5)+(x+40) = 180
5x+35 = 180
5x = 180-35
5x = 145
x = 145/5
x = 29
--------
As a check, if x = 29, then
4x-5 = 4*29-5 = 116-5 = 111
x+40 = 29+40 = 69
The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.
Answer:
x = 29
Step-by-step explanation:
The two angles with measures are a linear pair.
Angles in a linear pair are supplementary, so their measures add to 180 deg.
4x - 5 + x + 40 = 180
Combine like terms on left side.
5x + 35 = 180
Subtract 35 from both sides.
5x = 145
Divide both sides by 5.
x = 29
does anyone know the answer to this?
Answer: 1/3
Step-by-step explanation:
The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12
Thats a 4/12 chance which simplifies to 1/3
Answer:
1/3
Step-by-step explanation:
There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
Oy= 1/2x+3
Oy=-1/2x+3
Answer:
A y= -2x+3
Step-by-step explanation:
The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.
The equation of the line in slope-intercept form is: A. y = -2x + 3.
What is the Equation of a Line in Slope-intercept Form?Equation in slope-intercept form is y = mx + b.b is the y-intercept.m is the slope of the line.Thus, find the slope (m):
Slope (m) = change in y/change in x = -2/1 = -2
y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.
Therefore, substitute b = 3 and m = 2 into y = mx + b:
y = -2x + 3
Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.
Learn more about slope-intercept form on:
https://brainly.com/question/1884491
image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10
Answer:
[tex]x =6[/tex]
Step-by-step explanation:
Given
Bisected Sector AB;
AP = 15x - 11
PB = 9x + 25
Required
Find x
When a sector is bisected, it means the sector is divided equally into two;
Hence [tex]AP = PB[/tex]
This gives
[tex]15x - 11 = 9x + 25[/tex]
Add 11 to both sides
[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]
[tex]15x = 9x + 25 + 11[/tex]
[tex]15x = 9x + 36[/tex]
Subtract 9x from both sides
[tex]15x - 9x = 9x + 36 - 9x[/tex]
[tex]15x - 9x = 9x - 9x + 36[/tex]
[tex]6x = 36[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{36}{6}[/tex]
[tex]x = \frac{36}{6}[/tex]
[tex]x =6[/tex]
Hence, the value of x is 6
Answer:
x=6
Step-by-step explanation:
15x-11=9x+25
15x-9x=25+11
6x=36
x=6