Answer:
y² = 9² + 19² - 2(9)(19)Cos (41°)
Step-by-step explanation:
Triangle X Y Z is shown.
The length of X Y is 9,
the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.
Law of cosines is given as:a²= b² + c² – 2bccos(A)
Applying this to Triangle XYZ, and since we are Solving for y
y² = x² + z² - 2xzCos Y
The length of X Y = x is 9,
the length of Y Z = y is 19
y²= 9² + 19² - 2(9 × 19)Cos (41°)
= y² = 9² + 19² - 2(9)(19)Cos (41°)
Option d is correct
Answer:
Choice D is correct
Step-by-step explanation:
Just took the test
Suppose y varies directly as x, and y = 16 when x = 8. Find y when x = 16. Write the numeric answers only.
Answer:
k= 2
y = 32
Step-by-step explanation:
y is inversely proportional to x
y = 16, x = 8
find y when x = 16
k= 2 & y = 32
a^2y+a^3 for a=-1.5 and y = -8.5
Step-by-step explanation:
I think it will be 1.7
i am not sure
You buy t tickets to a baseball game for a total of $60. Write an algebraic expression that represents the cost of each ticket.
Answer:
$60/t
Step-by-step explanation:
t tickets--> $60
1 ticket---> $60/t
Which correct congruent statement is true for the triangles below???
Given:
Two triangles.
To find:
The congruent statement for the given triangles.
Solution:
In triangle ABC and PQR,
[tex]AB=PQ[/tex] (Given)
[tex]BC=QR[/tex] (Given)
[tex]AC=PR[/tex] (Given)
All three corresponding sides are equal. so, corresponding vertices of A, B, C are P, Q, R respectively.
[tex]\Delta ABC\cong \Delta PQR[/tex] (SSS postulate)
Therefore, the correct option is 3.
y = 4x + 10 y = 3x + 15
Answer:
-(135/31), 60/31
Step-by-step explanation:
y=60/31
x=-(135/31)
which expression shows the relationship between the ratios 1 to 2 and 3 to 6
Answer:help me
Step-by-step explanation:
Answer:
x3
Step-by-step explanation:
Which quadrilateral has 4 right angles, 2 sets of parallel sides, and all of its' sides are the same
length?
Triangle
Rectangle
Rhombus
Square
Answer:
Square
Step-by-step explanation:
Properties of square:
1) All angles are right angle.
2) opposite sides are parallel
3) all sides are equal.
WILL GIVE BRAINLIEST!!!
Event B is a subset of the sample space S.
what is represented by the shaded area?
A. the complement of B
B. the intersection of B and S
C. the union of B and S
D. the complements of S
Step-by-step explanation:
The shaded area shows the region where it is enclosed in sample space S but does not include the subset B.
Hence it is the complement of B. (A)
If event B is a subset of the sample space S, hence the area represented by the shaded part is complement of B
Set theoryThe set is a collection of members and things.
According to the venn diagram given, the whole set including the set B is the universal set.
The part not shaded is not part of the universal set, hence, we name them the complement of a set.
If event B is a subset of the sample space S, hence the area represented by the shaded part is complement of B
Learn more on set here: https://brainly.com/question/2166579
#SPJ2
Point D is the midpoint of AB.
Is this information enough to prove ACD - EBD?
Answer:
yes
Step-by-step explanation:
By ASA similarity;
<b=<a
<c=<e
DE=DC
. Find three consecutive square numbers whose sum is 149.
Answer:
The three consecutive square numbers that added together give 149 are 6, 7 and 8.
Step-by-step explanation:
To determine which are the three square consecutive numbers that added together add up to 149, the following calculation must be performed:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
10 x 10 = 100
Thus, we can see that 36 + 49 + 64 gives the result 149. Therefore, the three consecutive square numbers that added together give 149 are 6, 7 and 8.
(40 points) !!! Super easy math question
Given the equation y = 5x - 1, what are the intercepts?
options in screenshot
Answer:
D
Step-by-step explanation:
2. Jamie bought a computer for $856.35 including tex He received an interest-free loan for the exact poor of the computer. If Jamie pay off the entire amount of the loan in 15 equal monthly payments, how much will he have to pay each month
Answer:
57.09
Step-by-step explanation:
856.35/15. total amount divided by number of payments
Can u pls help me with this question
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
6%
?
The sales tax is $
$3.60 is the sales tax
After tax the price is $63.60
Answer
$63.60
Step-by-step explanation:
6% of 60 = 3.60
3.60+ 60= 63.60
see comment for what I need
Answer:
I already sent u the link from there, even tho, they deleted my question, but yh i set the title as well incase u needed it! Good luck
Step-by-step explanation:
please someone actually help :((( honestly im just gonna drop out
Answer:
12
Step-by-step explanation:
4u - 8u = -63 + 15 ( collecting like terms)
-4u = -48
u = 12
Answer:
u = 12
Step-by-step explanation:
4u - 8u - 15 = -63
Step 1: Combine 4u and -8u
-4u - 15 = -63
Step 2: Add 15 to both -15 and -63
-4u = -48
Step 3: Divide both -4u and -48 by -4
u = 12
I hope this helps! c:
What is the value of x in the figure?*
Answer:
x=25Step-by-step explanation:
according to the question
the equation is
130+2x=180
2x=180-130
2x=50
x=25
use the number line to find the absolue value of 7 (A -7, (B 0, (C 7, (D 14
Answer:
Can you put a number line in the picture?
Step-by-step explanation:
That would really help
Answer:
I think its C but without the number line a cant tell.
Step-by-step explanation:
Come up with two examples of ratio relationships that are interesting to you.
Answer:
radio relationships?what do u mean?
2.8.57
Let f(x) = - 5x-1, h(x) = -x-2.
Find (f o h)(3)
(foh)(3) =
Help me pleaseee
Math
Please number the question
For example
1+1
Answer for question 1 2
Answer:
6)b
7)a
8)a
9)a
1)c
2)a
3)c
4)b
5)b
(Always, sometimes, never question) If two sides and a non-included angle of one triangle are congruent to two sides and a non-incldued angle of another triangle, then the two triangles are congruent.
A: always
B: sometimes
C: never
sometimes
the description is describing SSA, which is NOT a type of congruence.
since the congruent angle is non-included (which means it is not in between the two congruent sides), we can't say for sure if the triangles are congruent.
this is because the third side of the triangle is unknown, and that side might not be congruent to the same side in the other triangle.
i hope this helps!
 help pleaseeeeee !!!! i’ll give brainliest !
PLEASEEEEEEEE HELP MEEEEE
Answer:
11
Step-by-step explanation:
hope that helps out :)
Step-by-step explanation:
by collecting like terms =
7y - 12y = -38 - 17
-5y = - 55
by dividing both sides by -5
-5y/-5 = -55/-5
y = 11
Two friends are planning a vacation. They are deciding between Arizona and New York. The airfare for Arizona is $95 per person and the airfare for New York is $150 per person. The hotel in New York is $120 per night and the hotel in Arizona is $150 per night. They would share a hotel room. After how many nights would the trip's cost be equal to each other?
Answer:
7
Step-by-step explanation:
Let number of nights spent in both the locations be [tex]x[/tex]
Airfare for Arizona for 2 persons for two way journey = [tex]95\times 4=\$380[/tex]
Airfare for New York for 2 persons for two way journey = [tex]150\times 4=\$600[/tex]
Cost of night spent in Arizona = [tex]150x[/tex]
Cost of night spent in New York = [tex]120x[/tex]
Cost of going and coming back from Arizona = [tex]380+150x[/tex]
Cost of going and coming back from New York = [tex]600+120x[/tex]
Now the costs should be equal so
[tex]380+150x=600+120x\\\Rightarrow 150x-120x=600-380\\\Rightarrow x=\dfrac{220}{30}\\\Rightarrow x=7.33\ \text{nights}[/tex]
The number of nights is approximately 7 at which the cost of the trip becomes equal.
B
NEED HELP ASAP Angles A and B are
supplementary. If
MLB-IoTº, what is
the M
(The pic is of the question)
Answer:
79
Step-by-step explanation:
Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.
hope this helps (:
A model rocket is launched in the air. The quadratic function is modeled by the equation y = - 16x ^ 2 + 32x where is measuring time and y is the height of the model rocket. What is the max height the rocket reaches?
Answer:
The maximum height the rocket reaches is 16.
Step-by-step explanation:
You know that a model rocket is launched in the air and the quadratic function is modeled by the equation y = -16*x² + 32*x where x is measuring time and y is the height of the model rocket.
A quadratic function or function of the second degree is a polynomial function defined by:
y= a*x² + b*x + c
A quadratic function has a maximum or a minimum and the vertex formula is used to get the highest or lowest value of the function. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
The value of the vertex on the x-axis can be calculated with the expression [tex]x=\frac{-b}{2*a}[/tex]
The value of the vertex on the y axis must be obtained by substituting the value of the vertex on the x axis in the function y= a*x² + b*x + c
In this case, a= -16, b=32 and c=0. Since a<0 the vertex will indicate the maximum of the function.
The value of the vertex on the x-axis is [tex]x=\frac{-32}{2*(-16)}=1[/tex]
The value of the vertex on the y axis is:
y = -16*1² + 32*1
Solving:
y= -16*1 +32
y= -16 +32
y=16
The maximum height the rocket reaches is 16.
PLEASE HELP ME:
Find the perimeter of the figure. Round to the nearest tenth.
Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
perimeter of the figure= AB+BC+CD+ADdistance formula:
[tex]d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } [/tex]
1) distance of ABA(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)
[tex]ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} } [/tex]
[tex]ab = \sqrt{5 {}^{2} + 4 {}^{2} } [/tex]
[tex]ab = \sqrt{41} [/tex]AB = 6.4 units
2) distance of BCB(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1
[tex]bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} } [/tex]
[tex]bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]bc = \sqrt{10} [/tex]
BC = 3.2 units
3) distance of CDC(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3
[tex]cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} } [/tex]
[tex]cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }[/tex]
[tex]cd = \sqrt{65} [/tex]
CD = 8.1 units
4) distance of ADA(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3
[tex]ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }[/tex]
[tex]ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]ad = \sqrt{10} [/tex]
AD = 3.2 units
perimeter of figure= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units
Find the zeros for 2x^2
- 24 = 26. What is the positive value of x?
Answer:
The zeroes are -1 and 13
Positive value: [tex]x = 13[/tex]
Step-by-step explanation:
Given
[tex]2x^2 - 24x = 26[/tex]
Solving (a): The zeros
[tex]2x^2 - 24x = 26[/tex]
Subtract 26 from both sides
[tex]2x^2 - 24x - 26= 26-26[/tex]
[tex]2x^2 - 24x - 26= 0[/tex]
Divide through by 2
[tex]\frac{1}{2}(2x^2 - 24x - 26) = \frac{1}{2} * 0[/tex]
[tex]x^2 - 12x - 13 = 0[/tex]
Expand
[tex]x^2 - 13x + x - 13 = 0[/tex]
Factorize:
[tex]x(x-13)+1(x-13)=0[/tex]
[tex](x+1)(x-13)=0[/tex]
Split:
[tex]x +1 =0\ or\ x-13=0[/tex]
[tex]x =-1\ or\ x=13[/tex]
Hence, the zeroes are -1 and 13
Solving (b): The positive value of x
In (a) above:
[tex]x =-1\ or\ x=13[/tex]
The positive value is:
[tex]x = 13[/tex]
Which of the following is an equation of the line through (11, –3) and (7, 9)?
Answer:
y = -3x + 30.
Step-by-step explanation:
The slope of line = (9- (-3)) / (7 - 11)
= 12/-4
= -3.
We use the point-slope form of a straight line:
y - y1 = m(x - x1) where m = slope = -3 and (x1, y1) = (7, 9)
y - 9 = -3(x - 7)
y - 9 = -3x + 21
y = -3x + 21 + 9
y = -3x + 30.
You haven't supplied a list of possible answers so the correct answer might not be in the above form but will be equivalent to it.