Answer:
12*3*2=72
10*3*2=60
12*10*2=240
240+72+60=312+60=372
hope this helps
Step-by-step explanation:
Answer:
Answer is c 480 in2
Step-by-step explanation:
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.
Make sure to simplify radicals. Leave your answers as radicals in simplest
form.
60°
x
10
y =
ㄷ
Answer:
[tex]x=20[/tex]
[tex]y=10\,\sqrt{3}[/tex]
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]
and also:
[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]
Please can someone help me ASAP
a) [tex]\frac{8}{2}[/tex]
b) [tex]\frac{9}{4}[/tex]
c) [tex]\frac{3}{-1}[/tex]
The Venn diagram shows the results of two events resulting from rolling a number cube.
Answer:
Option B.
Step-by-step explanation:
From the given venn diagram it is clear that
[tex]A={1,2}[/tex]
[tex]B={1,2,3,4,5,6}[/tex]
[tex]A\cap B={1,2}[/tex]
Since the intersection of A and B is non-empty, therefore by conditional probability
[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]
[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]
Therefore, the correct option is B.
Which of the following is the reciprocal parent function?
A. F(x) = -X
B. F(x) = x^3
C. F(x)=1/x
D. F(x)= (x)
SUBMIT
Answer:
C. F(x)=1/x
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. It is also called the multiplicative inverse. Hence, the reciprocal function is ...
F(x)=1/x . . . . . . matches choice C
can somebody please helpp
Answer:
The Answer is the first option
Step-by-step explanation:
If you take the 3x-4>5
than: 3x>5+4
3x>9
x>9/3
x>3
Please answer this in two minutes
Answer:
14.
Step-by-step explanation:
From the question given, we obtained the following information:
When angle θ = 60°
Adjacent = 7
Hypothenus = s
When angle θ = 30°
Opposite = 7
Hypothenus = s
We can use any of the above to determine the value of 's'.
Here, we shall consider when angle θ is 60°.
Cos θ = Adjacent /Hypothenus
Angle θ = 60°
Adjacent = 7
Hypothenus = s
Cos θ = Adjacent /Hypothenus
Cos 60° = 7/s
But Cos 60° = 1/2
1/2 = 7/s
Cross multiply
s = 2 x 7
s = 14
Therefore, the value of 's' is 14
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 3/4 when a = -2 3/4 . Which equation represents this direct variation between a and b?
Answer:
b=-a
Step-by-step explanation:
write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Find the value of x
44 and 55in
Answer:
C
Step-by-step explanation:
Use Pythagorean theorem
X^2 + 44^2 = 55^2
X^2 = 55^2 - 44^2
= 3025 - 1936
X^2 = 1089
X = sqrt (1089)
X = 33
What is the length of the line?
Answer:
[tex]\boxed{\sqrt{37} }[/tex]
Step-by-step explanation:
Use Pythagorean theorem.
Create a right triangle, with legs of length 6 and 1 units. Find the length of hypotenuse.
[tex]6^2+1^2 =c^2 \\36+1=c^2 \\37=c^2 \\c=\sqrt{37}[/tex]
Answer:
When you use Pythagorean theorem, the answer is √37.
Step-by-step explanation:
II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
C) Yes, since the slopes are the same and the y-intercepts are different.
Step-by-step explanation:
You need to have both equations in slope-intercept form.
4x - 6y = -6
-6y = -4x - 6
y = 2/3x + 1
The two equations are
y = 2/3x + 1
y = 2/3x - 17
For lines to be parallel, the slopes must be equal. The y-intercepts don't matter.
Since the lines have the same slopes but different y-intercepts the answer is C.
For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 m/s2. If the acceleration of the object becomes 9 m/s2, what is the force?
Answer:
72 N
Step-by-step explanation:
From the question.
Force is directly proportional to acceleration, with the mass of the object constant.
F α a
F = ka
F₁/a₁ = F₂/a₂....................... Equation 1
Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.
make F₂ the subject of the equation
F₂ = (F₁/a₁)a₂................ Equation 2
Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²
Substitute these values into equation 2
F₂ = (64/8)(9)
F₂ = 72 N
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
last option
Step-by-step explanation:
Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
Answer:
option D
Step-by-step explanation:
(Sorry for the spam, making sure these are right) One zero of the polynomial function f(x)=x^3-9x^2+20x is x=0. What are the polynomial function? Choices:
Replace f(x) with 0 and solve for x. We do this because the x intercepts always occur when y = 0. Keep in mind that y = f(x).
f(x)=x^3-9x^2+20x
0=x^3-9x^2+20x
x^3-9x^2+20x = 0
x(x^2-9x+20) = 0 .... factor out GCF x
x(x-5)(x-4) = 0 ... factor the stuff inside
x = 0 or x-5 = 0 or x-4 = 0 ... zero product property
x = 0 or x = 5 or x = 4
The roots or zeros are 0, 5, 4Answer: Choice DAnswer.. Plz!! 1rst one .BRAINLIEST!
Answer:
a) [tex]\boxed{4m^2+20m+25}[/tex]
b) [tex]\boxed{m^2-m+\frac{1}{4} }[/tex]
Step-by-step explanation:
a) [tex](2m+5)^2[/tex]
Using formula [tex](a+b)^2 = a^2+2ab+b^2[/tex]
=> [tex](2m)^2 + 2(2m)(5)+(5)^2[/tex]
=> [tex]4m^2+20m+25[/tex]
b) [tex](m-\frac{1}{2} )^2[/tex]
Using Formula [tex](a-b)^2 = a^2-2ab+b^2[/tex]
=> [tex](m)^2 - 2(m)(\frac{1}{2} ) + (\frac{1}{2} )^2[/tex]
=> [tex]m^2-m+\frac{1}{4}[/tex]
Answer:
a) [tex]\boxed{4m^2 + 20m + 25}[/tex]
b) [tex]\boxed{m^2 - m + \frac{1}{4} }[/tex]
Step-by-step explanation:
[tex](2m + 5)^2[/tex]
[tex](2m + 5) (2m + 5)[/tex]
Use FOIL method.
[tex]2m(2m + 5)+5(2m + 5)[/tex]
[tex]4m^2 + 10m + 10m + 25[/tex]
[tex]4m^2 + 20m + 25[/tex]
[tex](m - \frac{1}{2} )^2[/tex]
[tex](m- \frac{1}{2})(m- \frac{1}{2})[/tex]
Use FOIL method.
[tex]m(m- \frac{1}{2})- \frac{1}{2}(m- \frac{1}{2})[/tex]
[tex]m^2- \frac{1}{2} m- \frac{1}{2}m+ \frac{1}{4}[/tex]
[tex]m^2-m+ \frac{1}{4}[/tex]
A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim
Answer:
[tex]H_{o}[/tex]: Larger proportion of news media = democrats
Ha : Large proportion of news media [tex]\neq[/tex] democrats
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
use the cross product property to solve the proportion
5/r = 9/10
Answer:
[tex]5.\overline{55}[/tex] or [tex]5\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{5}{r} =\frac{9}{10}[/tex]
We multiply the cross values of 5 and 10
5 × 10 = 50
Now we divide by the remaining number, 9
[tex]50 \div 9 = 5.555555...[/tex]
So, r = [tex]5.\overline{55}[/tex]
As a fraction, this is [tex]5\frac{5}{9}[/tex]
Hope this helped!
Answer:
5 5/9 = r
Step-by-step explanation:
5/r = 9/10
Using cross products
5 * 10 = 9 * r
50 = 9r
Divide by 9
50/9 = r
5 5/9 = r
Please answer this in two minutes
Answer:
m<B = 63.4°
Step-by-step explanation:
tangent = opposite ÷ adjacent
tan B = [tex]\frac{4}{2}[/tex]
tan B = 2
B = tan⁻¹ (2)
B = 63.4°
Hope this helps.
If a number is added to the numerator of StartFraction 11 Over 36 EndFraction and twice the number is added to the denominator of StartFraction 11 Over 36 EndFraction , the resulting fraction is equivalent to one third . Find the number.
Answer:
The number is 3
Step-by-step explanation:
The fraction is 11/36
let
x = no. added to the numerator
2x = no. added to denominator
We have,
x+11/2x+36=1/3
Cross multiply
3(x+11) = (2x + 36)
3x + 33 = 2x + 36
Collect like terms
3x - 2x = 36 - 33
x=3
The number is 3
Check:
3+11/6+36=1/3
14/42=1/3
help me out??? first pic is the graph second is the answer choices
Answer: Choice D. 2x^2+2y^2 = 32
=================================================
Explanation:
The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.
(h,k) = (0,0) is the center
r = 4 is the radius as it is the distance from the center to the edge of the circle
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 4^2
x^2+y^2 = 16 is one way to express the equation of the circle
For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...
x^2+y^2 = 16
2(x^2+y^2) = 2*16
2x^2+2y^2 = 32
This matches up with choice D.
Answer:
D.
Step-by-step explanation:
According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.
x^2 + y^2 = 16
A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.
B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.
C. This choice is obviously incorrect, since it should be + y instead of - y.
D. This choice is correct. All terms are multiplied by 2.
Hope this helps!
According to the graph, what is the domain and range of the function?
Answer:
if its according to the graph but not according to the function then
domain = {x:-4<x<8}
range = {y:y<16}
Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs 36 20 56 Prefers cats 10 26 36 No preference 2 6 8 TOTAL 48 52 100 Of students in the sample, what fraction were male?
Answer:
12/25
Step-by-step explanation:
There were a total of 48 males, so 48/100 = 12/25.
+---------------+------+--------+-------+
| | Male | Female | Total |
+---------------+------+--------+-------+
| Prefers Dogs | 36 | 20 | 56 |
+---------------+------+--------+-------+
| Prefers Cats | 10 | 26 | 36 |
+---------------+------+--------+-------+
| No Preference | 2 | 6 | 8 |
+---------------+------+--------+-------+
| Total | 48 | 52 | 100 |
+---------------+------+--------+-------+
Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67
Answer:
the range is 10
Step-by-step explanation:
70 is the highest and 60 is the lowest
70-60=10
The shaded rectangle in the diagram consists ofthree squares. (Picture for full question)
Answer: 243 cm²
Step-by-step explanation: If the diameter is 18, the radius is 9. Each square is 9×9, so 81 cm² for each. Multiply: 81×3 = 243
Or take the length times width to get area 27×9= 243
In triangle $ABC$, $AB = BC = 25$ and $AC = 40$. What is $\sin \angle ACB$?
Answer:
Sine angle of <ACB = 38.68°
Step-by-step explanation:
Hello,
To solve this problem, we need a good representation of the sides and the angle.
See attached document for better illustration.
Assuming it's a right angled triangle,
AC = hypothenus
AB = opposite
BC = adjacent
AC = 40
BC = 25
AB = 25
From trigonometric ratios
Sinθ = opposite/ hypothenus
Sinθ = AB / AC
Sinθ = 25 / 40
Sinθ = 0.625
θ = sin⁻¹0.625
θ = 38.68°
Sine angle of <ACB = 38.68°
WILL MARK BRAINLIEST
PLEASE HELP x
Answer:
3. time = 6.4999 approximately 6.5 years
4. $2235.35
5. $ 3950
Step-by-step explanation:
4. amount of interest = final amount - principle= 7535.35 - 5300 = 2235.35
5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950
In how many different ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each coin?
Answer:18
Step-by-step explanation:
There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Since we know that
1 Quarter = 0.25 of Dollar
1 Dime = 0.10 of Dollar
1 Nickel = 0.05 of Dollar
Let's say we make Q number of the quarter, D number or dime, and N number of nickel.
Then equation formed will be
0.25Q + 0.10D + 0.05N = 0.75
From it is clear that the possible outcomes are
Qarteres =1, Dime =1, Nickel =2
Qarteres =1, Dime =2,Nickel = 4
Qarteres =1,Dime =3, Nickel = 6
Qarteres =1,Dime =4, Nickel = 8
Qarteres = 2, Dime =1,Nickel = 1
Qarteres = 2, Dime =2, Nickel = 3
Hence there will be a total of 6 outcomes.
For more about the equation
brainly.com/question/2263981
#SPJ2
Solve the following: (1 point) 7x − 2y = −3 14x + y = 14
Answer:
Step-by-step explanation:
7x - 2y = -3
14x + y = 14
7x - 2y = -3
28x + 2y = 28
35x = 25
x = 25/35= 5/7
14(5/7) + y = 14
10 + y = 14
y = 4
(5/7, 4)
WILL GIVE BRAINLIEST Find the value of x, rounded to the nearest degree. 26° 25° 28° 62°
Answer:
X rounded to the nearest degree can me calculated based on parallel lines or if there is a straight line bisected by a line, 180 degress is a staright line. There is not enough info nor a picture to give a direct answer.
Answer:
its D
Step-by-step explanation:
What is the perimeter of the parallelogram?
Answer 18
Solve 5+5+4+4=18