Answers
Answer:
Y=17
X=17√2
Step-by-step explanation:
1) This triangle is a right isosceles triangle. You know this because it is marked in that way.
2) In an isosceles triangle, the legs are congruent. That means, if one leg is x, then the other leg will also be x.
- In this case, (y) will be 17 because the other leg is also 17.
3) According to pythagorean theorem, a^2 + b^2 = c^2. The hypotenuse is directly across the 90º angle. So, in this case, knowing that both legs are 17,
you can write 17^2 + 17^2 = c^2
(c = x) because i'm just substituting the values.
So now, solve it. You will get
289 + 289 = c^2
c^2 = 578
now just square root 578.
(remember c = x)
You get that x = √578 = 17√2
Related Questions
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
Answers
Find the surface area of the prism.
The surface area is square meters.
Answers
Find attached to this question, the diagram of the prism
Answer:
740m
Step-by-step explanation:
The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.
The surface area of a triangular prism is calculated as
Surface Area = bh + 2ls + lb
Where
b = base = 16m
h = height = 15m
l = length = 10m
s = side edge or length = 17m
Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +
= 740m
Answer:
740m
Step-by-step explanation:
What is the mean of the following numbers?
15, 10, 7, 12
A
15
B
11
10
D 12
Answers
the mean is 11, meaning the answer choice is B right?
Answer:
11
Step-by-step explanation:
plz mark me brainliest
Find "G". Round to two
decimal places.
G= R+ab/at
R=257
a=4.88
b=37.4
t=61.5
Answers
Answer:
G ≈ 1.46
Step-by-step explanation:
Given
G = [tex]\frac{R+ab}{at}[/tex] , substitute values
G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]
= [tex]\frac{257+182.512}{300.12}[/tex]
= [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )
Use the quadratic formula to solve the equation
X^2+9X+20=0
Answers
Answer:
x=-4
x=-5
Step-by-step explanation:
Answer:
-4 or -5
Step-by-step explanation:
Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
Answers
Answer:
[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
Step-by-step explanation:
Given the information:
A'B'C' reflection over x = −1dilation by a scale factor of 4 from the origin<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
We choose C.
Hope it will find you well.
Which interval for the graphed function has a local
minimum of 0?
[-3,-2]
[-2,0]
[1,2]
[2,4]
Answers
Answer:
Interval for the function has local minimum of 0 is [2,4].
Step-by-step explanation:
You need to find the local minimum of 0 in the given function's graph.
In mathematics, local minimum is a point on a graph whose value is less than all other points near it.
See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4
So, final answer is :
Interval for the function has local minimum of 0 is [2,4].That's the final answer.
hope it helps
Answer: D
Step-by-step explanation:
2,4
pls help A round trip to your favorite aunt's house is 412 miles. You went to your favorite aunt's house 2 times last week. How many miles did you travel in total?
Answers
824 miles
Step-by-step explanation:
412×2=824 miles
or you could do 412+412=824 miles
Hope that helps! If you need any further clarification then please comment down below or message me. Good luck!
412x2= 824 miles
If you visited 2 times and a round trip is 412 miles if you double that you get the amount.
You put $550 in an account that
earns 2.5% annual interest
compounded quarterly. In how many
years will you have $1200?
Answers
Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.
Answers
Answer:
Step-by-step explanation:
Area of the figure = Area of semicircle + area of rectangle
Area of semicircle:
d = 14 mm
r = 14/2 = 7 mm
Area = (1/2)πr²
[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]
=11 *7
= 77 mm²
Area of rectangle:
length = 14 mm
Width = 10 mm
Area = length *width
= 14 * 10
= 140 mm²
Area of the figure = 77 + 140 = 217 mm²
A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answers
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
what are the characteristics of a graph of the square root parent function
Answers
please help as soon as possible
Answers
Answer:
22
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)
So,
23 + 18 + 24 + 15 + 25 = 105
Then,
105/5 = 21
A straight line is drawn through the intersection of the two diagonals of a parallelogram. Prove that it exactly divides the parallelogram into two equal parts by area.
Answers
Answer:
Area of rectangle APQB = Area of rectangle DPQC
Where:
PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD
Step-by-step explanation:
Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram
Given the parallelogram ABCD with a point of intersection of the two diagonals = O
We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;
The diagonals of a parallelogram bisect each other hence
OA = OC and OB = OD
Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOB ≅ ΔCOD (SAS congruence rule)
Area of ΔAOB = Area of ΔCOD
In ΔAOP and ΔCOQ, we have;
∠PAO = ∠QCO (alternate interior angles of a parallel line)
OA = OC (as above)
∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOP ≅ ΔQOC
Area of ΔAOP = Area of ΔQOC
From which we have by similarity;
ΔBOQ ≅ ΔPOD
Area of ΔBOQ = Area of ΔPOD
Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ
∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.
Please help me I’m terrible at math.
Answers
Answer:
A) 200,000*0.75%=1500*100=150,000
B) 150,000 will be the birds population in 100 years
math question below!!
Answers
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
Help me, I need a step by step solution ASAP
Answers
Answer:
a)
[tex]x=-1\\x=-\frac{3}{4}[/tex]
b)
[tex]x=\frac{11}{6}[/tex]
Step-by-step explanation:
[tex]Formula: x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]a)-4x^2+7x-3=0[/tex]
a= -4
b= 7
c= -3
[tex]x=\frac{-(7)\frac{+}{}\sqrt{(7)^2-4(-4)(-3)} }{2(-4)}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{49-48} }{-8}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{1} }{-8}[/tex]
[tex]x=\frac{7\frac{+}{}1 }{-8}[/tex]
------------------------------
[tex]x=\frac{7+1 }{-8}=\frac{8}{-8}=-1[/tex]
or
[tex]x=\frac{7-1 }{-8}=\frac{6}{-8}=-\frac{3}{4}[/tex]
------------------------------
[tex]b)36x^2-132x+121=0[/tex]
a= 36
b= -132
c= 121
[tex]x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-132)\frac{+}{}\sqrt{(-132)^2-4(36)(121)} }{2(36)}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{17424-17424} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{0} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}0 }{72}[/tex]
------------------------------------------------
[tex]x=\frac{132}{72}[/tex]
[tex]x=\frac{132/6}{72/6}=\frac{22}{12}=\frac{11}{6}[/tex]
Subtracting a positive number gives the same result as adding the number which is its opposite. Is the opposite positive or negative?
Answers
Answer:
Step-by-step explanation:
Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = 2. It has a maximum at 5 and a minimum at negative 1. It goes through one cycle at pi. y = negative 3 sine (2 (x + pi)) + 2 y = negative 3 sine (x + pi) + 2 y = 3 sine (4 (x minus pi)) + 4 y = 3 sine (2 (x + pi)) + 2
Answers
Answer:
b
Step-by-step explanation:
We want to find a sine function such that:
it has a y-intercept equal to 2.it has a maximum of at 5, and a minimum at -1.it goes through one cycle at pi.The given options are:
y = -3*sin(2*(x + pi)) + 2 y = -3*sin(x + pi) + 2 y = 3*sin(4*(x - pi)) + 4 y = 3*sin(2*(x + pi)) + 2Notice that the first information that we have, implies that y must be equal to 2 when x = 0.
Knowing that we can discard the third option which has a y-intercept of 4.
Now the second. Remember that for a general function:
y = A*sin(k*x) + M
Where A is the amplitude and M is the midline, the maximum and minimum are given by:
A + M
-A + M
In all the remaining options we have:
A = ± 3
M = 2
We can see that with these we get the maximum and minimum of 5 and -1.
Finally, we know that it goes through one cycle at pi.
This means that if f(x) is the function, then:
f(x) = f(x + pi)
Also remember that for a general sine function, we have:
sin(x) = sin(x + 2*pi)
Ok, now let's analyze the options (only the sine part)
1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)
if we evaluate this in x + pi, we will get:
sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)
So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)
2) for the second option the sine part is:
sin(x + pi)
if we evaluate this in x + pi we get:
sin(x + pi + pi) = sin(x + 2*pi) = sin(x)
and we have:
sin(x +pi) ≠ sin(x)
Then this function does not go through one cycle at pi.
We can conclude that the two options that meet all the conditions are the first one and fourth one:
1) y = -3*sin(2*(x + pi)) + 2
4) y = 3*sin(2*(x + pi)) + 2
We can't say which one is correct if we do not look at the graph.
If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.
Below, you can see a graph of both functions:
The green one is y = 3*sin(2*(x + pi)) + 2, the blue one is y = -3*sin(2*(x + pi)) + 2
If you want to learn more, you can read:
https://brainly.com/question/14068845
Please tell me the answer quick. Thank you in advance.
Answers
Answer:
1176 cm3
Step-by-step explanation:
Please help. I don't understand.
Answers
The answer would be 4 FEET. If the slide is 10 feet tall and you are 6 feet down the slide then your are only 4 feet high. Just simple subtraction! So x = 4.
Hope this helps!
Which number is Venezuela on the map? yall
WILL MArk BRAINLEIST IF YOU ASNWER FIRST.
1,000 POINTS TO YOUR ACCOUNT WILL BE ADDED BUT ASNWER THEN I RETURN JUST THAT yall
1
2
5
8
Answers
Answer:
5
Step-by-step explanation:
Which equation represents a nonproptional relationship
Answers
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answers
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
Find the least common denominator (LCD) of
3
7
and
5
8
Answers
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
Find the surface area of an open box with length of 12 inches, width of 7 inches, and height of 4.5 inches
Also, Good Moring
Worth 20 points
Answers
Answer:
Step-by-step explanation:
l = 12 inches
w = 7 inches
h = 4.5 inches
Surface area = lw + 2wh + 2hl
= 12*7 + 2*7*4.5 + 2*4.5*12
= 84 + 63 + 108
= 255 square inches
If it is a closed box, surface area = 2*(lw +wh + hl)
As it is open, surface area = lw + 2wh + 2hl
Down part of the box : length *width
Upper part of the box = length*width
So, for closed box, 2lw
For open box , lw
f(x)=25x^2−10x+1f, left parenthesis, x, right parenthesis, equals, 25, x, squared, minus, 10, x, plus, 1
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
PLEASE HELP
Answers
Answer:
What is the value of the discriminant of f?
0
How many x-intercepts does the graph of f?
1
Step-by-step explanation:
I promise you i just got this question and this is the answer
The discriminant of f is 0.
The function f has one intercept.
In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:
a = 25
b = -10
c = 1
Now, let's calculate the discriminant:
Discriminant = b² - 4ac
= (-10)² - 4 x 25 x 1
= 100 - 100
= 0
The value of the discriminant of f is 0.
If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.
If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).
If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.
In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).
Learn more about Discriminant here:
https://brainly.com/question/33365847
#SPJ2
Determine if these matrices are inverses by
calculating AB
B
12
AB =
LC21 C22
C12 =
C11 =
021
C22 =
inverses of one
So the matrices
another
Answers
Answer:
Now calculate BA:
d11= 1
d12= 0
d21= 0
d22= 1
Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE
Step-by-step explanation:
Egde
Use the Means-Extremes Property to solve for x. 57 =9x x =
Answers
Answer:
x = 12.6
Step-by-step explanation:
When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:
[tex]\frac{a}{b} = \frac{c}{d} [/tex]
can be rewritten as:
a*d = c*b
For this case:
[tex]\frac{5}{7} = \frac{9}{x} [/tex]
5*x = 7*9
x = 63/5
x = 12.6
The equation below describes a parabola. If ais negative, which way does the
parabola open?
Answers
Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
