Answer:
x = 14
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
48 ^2 + x^2 = 50^2
2304+x^2=2500
x^2 = 2500-2304
x^2 =196
Taking the square root of each side
sqrt(x^2) = sqrt(196)
x = 14
Answer:
14
Step-by-step explanation:
Use A^2+B^2=C^2
A=48
C=50
So B=sqrt(C^2-A^2)
B=sqrt(50^2-48^2)
B=sqrt(2500-2304)
B=sqrt(196)
B=14
For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?
Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.
Answer:
y is 5.
Step-by-step explanation:
[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]
Introduce log base 10:
[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?
Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:
B. 57.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.
From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:
B. 57.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
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Which absolute value equation represents the graph A) f(x)=-|3x|-5 B) f(x)=3|x-5| C)f(x)=5|x|-3 D)f(x)=|5x-3|
Answer:
The choose B. f(x)=3|x-5|
I hope I helped you^_^
Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |
Answer:
the answers would be 1 61/100 and 161/100
anyone wanna help me with this.
Answer:
b
Step-by-step explanation:
2/(x+2)≠1/(x+1)
Help meh pweeeeaaaasssseeee!
Answer:
The name of the given figure in two different ways are - J⇔U and U⇔J
5 a. how to convet 2 hour to second
Answer:
Step-by-step explanation:
2 hour
To seconds = 7200
Hope this answer helps you :)
Have a great day
Mark brainliest
Name the property illustrated. 7 + 0 = 7
Answer:
I think it's the zero property
Step-by-step explanation:
"If the radius of the closed cone is doubled, show algebraically how this affects the surface area in comparison to the original cone."
How do I do this question?
Answer:
It would help to have the cone area formula:
Area = PI * radius * slant height
Let's say the height is 12cm radius is 5 cm
which makes the (slant height)^2 = 12^2 + 5^2 = 169
slant height = 13
and surface area = PI * 5 * 12 = 188.4955592154
If radius = 10 then (slant height)^2 = 12^2 + 10^2 = 244
slant height = 15.6204993518
surface area = PI * 10 * 15.62 = 376.99
376.99 / 188.4955 = 2
So, if radius is doubled, surface area is doubled.
Source: http://www.1728.org/volcone.htm
Step-by-step explanation:
what is the linear equation for y = 2x+1.
Answer:
y= mx+ c is the linear equation for y= 2 x+1
m/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x
Answer:
x = 1
Step-by-step explanation:
The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.
Note:
m∠IGF = 135x
m∠HGI = 26x
m∠HGF = 161°
Set the equation:
m∠IGF + m∠HGI = m∠HGF
Plug in the corresponding terms to the corresponding variables:
135x + 26x = 161
Combine like terms:
(135x + 26x) = 161
161x = 161
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:
(161x)/161 = (161)/161
x = 1
1 is your answer.
~
x = 161/161 = 1
A geometric series has a common ratio of (-2) and the first term is 3.
Show that the sum of the first eight positive terms of the series is 65 535.
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Given a₁ = 3 and r = - 2 , then
3 × - 2 = - 6
- 6 × -2 = 12
12 × - 2 = - 24
- 24 × - 2 = 48
48 × - 2 = - 96
- 96 × - 2 = 192
The positive terms are in a geometric progression
3, 12, 48, 192, ....
with a₁ = 3 and r = 12 ÷ 3 = 48 ÷ 12 = 4 , then
S₈ = [tex]\frac{3(4^{8}-1) }{4-1}[/tex] = [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535
I have a frequency of 20.0 Hz, if this frequency travels through the air with a speed of 331 m/s, what is it's wavelength
Answer:
16 m
Step-by-step explanation:
c=f×m
331=20m ( divide by 20 both side)
therefore m=16.55m
Which of the following characteristics best describes the given function of
f(x) = 2* + 5 ?
A) always increasing, maximum, quadratic function, vertical symmetry
B) always increasing, maximum, exponential function, vertical symmetry
C) always increasing, no maximum or minimum, exponential function, no vertical symmetry
D) always decreasing, maximum, exponential function, vertical symmetry
Answer:
B
Step-by-step explanation:
it is an exponential function
If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number
Answer:
should I fild the length of third side in this question ?
Answer:
If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.
What part of an hour passes between 2:24pm and 4:40pm
Answer:
2 1/4 hrs
Step-by-step explanation:
2 1/4 th of an hour passes between 2:24pm and 4:40pm
Between 2:24pm and 4:40pm 2.26 part of hours has been passed.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, What part of an hour passes between 2:24 pm and 4:40 pm.
Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.
16 minutes is 16/60 = 4/15 or 0.26 hours.
So, in total (2 + 0.26) = 2.26 part of an hour have been passed.
learn more about fractions here :
https://brainly.com/question/10354322
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The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
a. O 6x-7y+27 = 0
b. O 7x+6y-27 = 0
c. O 6x+7y-27=0
d. 0 6x+7 y+27 = 0
e. O -7x+6y+99 = 0
f.
No Answer
Answer:
0 = 7x-6y -99
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 7/6x+b
Using the point
-6 = 7/6(9) +b
-6 = 7*3/2 +b
-6 = 21/2 +b
Subtract 21/2 from each side
-12/2 -21/2 = b
-33/2 = b
y= 7/6x -33/2
Multiply each side by 6
6y = 7x - 99
Subtract 6y from each side
0 = 7x-6y -99
HELP PLEASE!!!
Find the length of AB.
А.53.74
B.26.05
C.96.95
D.84.79
Answer:
Step-by-step explanation:
Sin 61 = 47/X
(X=AB)
X = 53.73764119
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.
Using the Sine ratio for the angle B, we can writte,
Sin(∠B) = AC/AB
Sin(61°) = 47/AB
AB = 53.74 units
Hence, the correct option is A.
Learn more about Sine:
https://brainly.com/question/21286835
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what is 2/5 divided by -1/2 minus 3/2
Answer:
[tex] - \frac{23}{10} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]
➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{23}{10} [/tex]
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
Giving brainliest! Graph and solve the inequality y≤2|x+2|-7
Show the vertex, whether it’s a dotted or solid line, and axis of symmetry, also where the graph should be filled in!
Answer:
hope this helps u......
Answer:
Step-by-step explanation:
I don't know why the graphs I have been putting in look like that. simpler way of putting it is the line is where the red and black meet. if that makes sense. I'm sorry if is doesn't. I hope this helps tho.
someone please help i am not 100% sure how to do this and i need it for the rest of my tesr
Answer:
angleCFE=21 because inscribed angle is half the central angle standing on same same arc.
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.
cos theta Root over 1 - cos square theta
Answer:
[tex]{ \bf{ \cos \theta \sqrt{1 - { \cos }^{2} \theta } }} \\ { \sf{ = \cos \theta \sqrt{ { \sin }^{2} \theta} }} \\ { \sf{ = \cos \theta \sin \theta }} \\ { \sf{ = \frac{1}{2} \sin(2 \theta) }}[/tex]
Find x in the given figure
A: 60°
B: 55°
C: 125°
D: 35°
Answer:
C: 125
Step-by-step explanation:
First of all we can see that one angle is 55 degrees. Due to the fact it is on a straight line, we can assume to angle directly on the left of it, 6 is 180-55. Because a straight line is 180 degrees and we already have 55 degrees filling it. So if we do that, we can see that angle number 6 is 125 degrees. Which if we use the corresponding angles theroem, we get that angle number 1 is also 125 degrees. And because number 1 and x are corresponding angles, x is also 125 degrees. There are many ways to do it but I did this way the fastest. I challenge you to try to find another way to solve it.
Hope this helps!
Look at the graph shown.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
y=3x - 1
Step-by-step explanation:
we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
we know that b must be -1 because the line hits the y-axis when y is -1
this now leaves us with either the first or second choice
we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
so then we know the answer is y=3x-1
hope this helps
Find the total surface area of this square based
pyramid.
10 in
5 in
Answer:
125in
Step-by-step explanation:
Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...
A = (1/2)bh
A = (1/2)(5 in)(10 in) = 25 in²
The square base has an area given by the formula ...
A = s² . . . . . where s is the side length
A = (5 in)² = 25 in²
The total area is the sum of the areas of the 4 faces and the base:
total area = 4 × (area of 1 face) + (area of base)
total area = 4 × (25 in²) + 25 in²
total area = 125 in²
convert 8 1/10 into an improper fraction
Answer:
81/10
Step-by-step explanation:
