Answer: 86°
Step-by-step explanation:
You add 28°+58° to get 86
a scalene triangle always equals (adds up to) 180°
So you minus 86° from 180 to get 94° for angle EGF
Then since line EGT is 180° the ? has to add together with 94° to find your answer
94°+?=180°
180°-94°= 86°
What is the solution for the following system of equations?
5x + 7y = 3
2x + 3y = 1
O (-1,2)
O (1,-2)
O (-2,1)
O (2,-1)
Step-by-step explanation:
I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.
Answer:
[tex](2, -1)[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]
Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]
Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]
Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]
Find f(-3) PLEASE HELP
Answer:
2
Step-by-step explanation:
When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.
If this helps please mark as brainliest
x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
La Base de un triangulo mide 28 cm y su altura es correspondiente, 3/7 cm de la base. calculen el area del triangulo
Answer:
168 cm²
Step-by-step explanation:
altura = 3/7 × 28 = 12 cm
area = ½×28×12 = 168 cm²
which of the following numbers must be added to complete the square in the equation below x^2+16x=5
Answer:
8
Step-by-step explanation:
I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!
Pick the geometric term that matches the real-world object. rectangular prism sphere cylinder triangular prism cube
Answer:
Assuming this is the book one the answer is rectangular prism.
Explain how to convert measurements in the metric system
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
Example look at the pic please 7,225 cm = ___ m
Meters are larger than centimeters, so you expect your answer to be less than 7,225.
Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.
Cancel similar units, multiply, and simplify.
7,225 centimeters = meters
Answer:
Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.
Juice is sold in two different sizes. An 18 gl oz bottle costs $1.10. A 36 gl oz bottle costs 2.75. Which is better to buy?
Answer:
The 18 ounce bottle costs less per ounce and is the better buy
Step-by-step explanation:
First find the cost per ounce for the 18 ounce bottle
1.10 / 18 =.0611111 per ounce
Then find the cost per ounce for the 38 ounce bottle
2.75 / 36 =.076388888
The 18 ounce bottle costs less per ounce
A newsletter publisher believes that 30% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.
Step-by-step explanation:
Let's first state the null and alternative hypotheses for this research;
H0: p = 0.30
Ha: p ≠ 0.30
Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;
The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.
(a+b)^2*(a-b)
please answer me fast
Answer:
a^3b + 2a^2b^2 + ab^3
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + b^2
ab(a^2 + 2ab + b^2)
= a^3b + 2a^2b^2 + ab^3
Question 2 - Cost of a Paver
The pavers cost $8 per square metre ($8/m?). There are 4 pavers in a
square metre.
Calculate how much one paver costs. Show your working
2$ each
Answer:
8$ divided by 4.which is equal to 2
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = 15 February
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
i don’t understand at all
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of [tex]\frac{1}{4}[/tex], so that is what we are multiplying.
g(x) = [tex]\frac{1}{4}[/tex]|x - 2| - 1
^That is your transformed function.
#teamtrees #PAW (Plant And Water)
Ryan draws a trend line through the following data
points. Did he draw the line correctly?
Answer: C, You can tell the trend line is incorrect since all of the points are below it. A trend line should be in-between all of the points to give the best estimate.
Step-by-step explanation:
a)gc
b)a..f
c)bc
d)ed
which one please help
Answer:
b
Step-by-step explanation:
Answer:
b......................
Step-by-step explanation:
.
Solve for x. Round to one decimal place.
I keep messing this one up and im timed
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides: 6tan70° = xRewrite: x = 6tan70°Evaluate: x = 16.4849Round: x ≈ 16.5Name the marked angle in 2 different ways.
Answer:
<NKM is the first.the second is <MKN
Answer:
< NKM and <MKN
Step-by-step explanation:
Help asappppp hbshhshshhshshsshshshs
9 on the top as well so 9 x 2 18 3x2 6 3
I need help ASAP. I will give brainliest.
Answer:
see below
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = x-7
m = 1
b = -7
y = 4
m=0
b = 4
y = -2x+3
m = -2
b = 3
Which number is a rational number?
Answer:
C
Step-by-step explanation:
17.156 is the irrational number as it is terminating(means it ends)
Rest all are irrational
Quadrilateral qrst is a square what is pst
if QRST is indeed a quadrilateral, then, Check the picture below.
HELP NEEDED ASAP!! Find the sine of B
What is the total number of digits required in numbering the pages of a book, which has 1, 150 pages?
Answer:
3,493 digits
Step-by-step explanation:
Total pages of the book = 1,150
Page 1 - 9 = 9 digits
Page 10 - 99
= 2 * 90 pages
= 180 digits
Page 100 - 999
= 3 × 900 pages
= 2,700 digits
Page 1000 - 1,150
= 4 × 151 pages
= 604 digits
Total digits required in numbering 1,150 pages = 9 + 180 + 2,700 + 604
= 3,493 digits
Total digits required in numbering 1,150 pages = 3,493 digits
When the park opened for the day, four people were in attendance. Every hour, the number of people tripled from the previous hour's attendance.
Part A: Determine the common ratio between the attendance each hour.
Part B: Write an equation that can be used to determine the attendance for the nth hour the park is open.
Part C: How many people were at the park during the second, fifth, and eighth hours the park was open? Show all work.
what is the value of x
2/3x -32=35
Answer:
To find the value of x we need to simplify this.
The steps to simplifying are simple.
We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.
___________________________
Let's continue.
___________________________
Alright, let's go ahead and show our steps.
[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]
[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]
_____________________
[tex]Simplify = \\2=35\left(3x-32\right)[/tex]
_____________________
[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]
_____________________
[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]
_____________________
[tex]Simplify = \\x=\frac{374}{35}[/tex]
_____________________
Therefore, the answer is x = 374/35
What is the scale factor of Triangle XYZ to Triangle UVW? A.10 B.5 C.1/5 D. 1/10
This da last question for
A
P
E
X
Please help!!
Answer:
1/10
Step-by-step explanation:
Take the side length of figure B and divide by the same side of figure A
This is the number we need to multiply Figure A by to get to Figure B
6/60 = 1/10
We need to multiply figure XYZ by 1/10 to get to UVW
C) –7c^5 + 13c^5 + c^5=
Answer:
please mark as brilliant thanks for the above
Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT
To determine where the maximum is for the graph of F(x)
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]