11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
[tex]how do u find the reciprical of 9/13[/tex]
Answer:
flip it around 9/13 reciprocal would be 13/9
What is the most precise classification for the quadrilateral shown in the graph below?
Answer:
parallelogram
Step-by-step explanation:
Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram
The pathway of Sam's dive into
the swimming pool can be
represented by the equation
h = -16t2 + 15t + 12
(where t = time in seconds and
h = height in feet)
What is Sam's height
after 1 second?
M
The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
What is the equation of motion?
The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.
The pathway of Sam's dive into the swimming pool can be represented by the equation,
[tex]h = -16t^2 + 15t + 12[/tex]
(where t = time in seconds and h = height in feet)
The Sam's height after 1 second is,
[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]
Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.
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If I earn $15/hour and work for 20 hours/week, how much would I earn in one
month?
A.)$1,200
B.)$3,500
C.)$3,000
D.)$2.000
Answer:
$1,200
Step-by-step explanation:
$15 x 20 = $300/week; $300 x 4 weeks = $1,200
Answer:
A.)$1,200 a month
Step-by-step explanation:
it's the same as before. but, if you're looking for multiple weeks, just do the same thing, but multiply it by how many weeks there are. Ex. $15 an hour times 20 hours is $300, and there are 4 weeks in a month, so you would multiply it by 4 to get $1,200
Djthr value of an 8 in the ten millions place is what fraction of the value of an 8 in the hundred millions place
Answer:
1/125,000
Step-by-step explanation:
8/1,000,000 =
4/500,000 =
2/250,000 =
1/125,000 =
0.000008 (just in case)
Select the correct answer.
E
5
D
с
A
00
B
דן
F
-2.
2.
3
Which points define the solution set of this linear-quadratic system of equations?
A point A and point B
B. point D and point F
Cpoint C and point E
D. point B and point D
Help
A. What is the slope of the line? Show your work.
B. What is the y intercept of the line?
C. What is the slope intercept form of the equation of the line?
D what is he standard form of the equation of the line?
Answer:
Hi!
The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.
The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.
The slope intercept form is y = 1/6x -4.
For standard form, we subtract 1/6x from both sides to get
-1/6x + y = -4
Hope this helps!
Step-by-step explanation:
Sean scores a goal 60% of the time when he kicks the ball on goal. How many goals should he get during a game when he kicks on goal 10 times?
Which of the shapes described below have an area of 24
square feet?
Answer:
B, C, and D
Step-by-step explanation:
Hey there!
In order to find if the area of these shapes are 24, we need to first find the area
A. Triangle: Base of 8 feet, Height of 3 feet
Formula for area of triangle: Base x height x 1/2
8 x 3 x 1/2 --> 24 x 1/2 --> 12
Not an answer
B. Rectangle: Width of 4 feet, Length of 6 feet
Formula for area of rectangle: Length x width
4 x 6 --> 24
It is an answer
C. Parallelogram: Base of 12 feet, Height of 2 feet
Formula for area of Parallelogram: Base x height
12 x 2 --> 24
It is an answer
D. Triangle: Base of 6 feet, height of 8 feet
Formula for area of triangle: Base x height x 1/2
6 x 8 x 1/2 --> 48 x 1/2 --> 24
It is an answer
In conclusion, the statements that make this rule true are:
B, C, and D
What is the coefficient in the mathematical expression?
7m squared2 +2(19)
7
19
2
m
Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.
What is the leading coefficient of a polynomial?The leading coefficient of a polynomial is the term that multiplies the highest exponent.
In this problem, the expression is given by:
7m² + 19.
The highest exponent is of 2, in m², hence the leading coefficient is of 7.
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what is the value of x
[tex]\text{In}~ \triangle ABC,\\\\~~~~~~~~\sin 45^{\circ} =\dfrac{BC}{AC} \\\\\implies \dfrac 1{\sqrt 2} = \dfrac{BC}{6\sqrt 2}\\\\\\ \implies BC= 6\\\\\text{Now, In}~ \triangle BCD\\\\~~~~~~\cos 60^{\circ} = \dfrac{BD}{BC}\\\\\ \implies \dfrac 12 = \dfrac{x}{6}\\\\\\\implies x = \dfrac 62\\\\\\\implies x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
using the sine ratio in right triangle ABC and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{6\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
BC = 6
using the cosine ratio in right triangle BCD and the exact value
cos60° = [tex]\frac{1}{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 6 ( divide both sides by 2 )
x = 3
One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 cmb = 2 cmSubstitute the given values into the formula and solve for c:
[tex]\implies 16^2+2^2=c^2[/tex]
[tex]\implies 256+4=c^2[/tex]
[tex]\implies c^2=260[/tex]
[tex]\implies c=\sqrt{260}[/tex]
[tex]\implies c=2\sqrt{65}[/tex]
[tex]\implies c=16.1 \sf \: cm\:(nearest\:tenth)[/tex]
16.1 is rounded to the nearest tenth
Pls help me!!!!!!!!!!!
Angle 1 and angle 4 are corresponding angles, meaning that they are in the same relative position on their line.
Corresponding angles are congruent, which means angles 1 and 4 are congruent (equal to each other).
Angle 1 = Angle 4
74 = 3x - 18
92 = 3x
x = [tex]30 \frac{2}{3}[/tex]
---Rounded to the nearest tenth: 30.7
---Rounded to the nearest hundredth: 30.67
---Rounded to the nearest thousandth: 30.667
Hope this helps!
Answer:
Step-by-step explanation:
3x - 18 = 74
3x = 92
x ≈ 30 2/3
What kind of variable is this: Rural, Semi-rural, Urban.
Answer: Qualititative, Nominal and Categorical
Explanation:
The variable is qualitative since it does not involve numerical data (i.e. numbers). Rather we're dealing with names or labels.
Since names or labels are involved, and there isn't really inherent order to them, we consider this qualitative data to be nominal.
We can also consider it categorical since each label is a category.
PLSS HELP ASAPPP PLS What would be the sinuosity of this river:
Sinuosity = 28 cm curved length and a 20 cm straight length.
Answer:
= CL : SL
= 28 cm : 20 cm
= 1,4 cm
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}[/tex]
Choose the graph that represents the equation y = –|x| – 1.
Answer:
The correct answer is graph A.
Last week Lisa ran 34 miles. less than
Shanice. Lisa ran 8 miles.. How many
miles did Shanice run?
Answer:
Shanice ran 42 miles.
Step-by-step explanation:
[tex]\sqrt{x - 242} =33[/tex
Please answer.
Answer:
x = 1331
Step-by-step explanation:
Squaring both sides :
[tex](\sqrt{x-242})^{2} = 33^{2}[/tex]x - 242 = 1089x = 1089 + 242x = 1331((PLEASE HURRY, THANKS IN ADVANCE)) To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $7.40 per hour. The math club wants to spend less than $78.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
t = time
42 + 8.8t < 112.40
8.8t < 70.4
pls mark as brainliest
Answer: t = 4
Step-by-step explanation:
(x) - (y) = (t)
78.00 - 41.00 = 37.00
7.40 x 5 = 37
t = 4
Any amount of time under 5 hours would work.
For which values of a and b is the following statement not true?
Answer:
Choice D is the answer
Step-by-step explanation:
| 7 | - | 2 | = -5
7 - 2 ≠ -5
Hope this helps
Find the surface area of the figure.
8 ft
6 ft
6 ft
Answer:
4.5 step by step
Step-by-step explanation:
6 × 6 = 36 ÷ 8 = 4.5
Which of the following graphs represents the equation y = 2x + 2?
B
D
(1,6)
O
.(9.1
(0,2)
(0, 2)
(x (-1, 0))
• A. Graph A
• B. Graph B
• C. Graph C
D. Graph D
Answer:
graph c
Step-by-step explanation:
it's coordinate (0,2) satisfy the equation
PLEASE HELP ME!!!!!!!
Answer:
2/3
Step-by-step explanation:
p(B/A)=[P(A&B)]/p(A)
2/3=[P(A&B)]/(1/2)
P(A&B)=2/3 *1/2=1/3
P(A&B)=P(A)*P(B)
1/3=1/2*P(B)
P(B)=1/3*2/1=2/3
Write a function to represent the number of patients she sees, , and the number of hours, , the hygienist works after lunch on Monday.
Answer:
y= between 9-10 patients, round down to 9
Step-by-step explanation:
y= 9/4x + 5
y = 9/4(2) + 5
y = 9.5
y= between 9-10 patients, round down to 9
Consider the squares shown. Square P has a side length of 12 centimeters. Square Q has a side length 25% smaller than Square determine the area of both sides. what is the precent decrease in area P to area Q 40 points exra for correct answer
Answer:
Decrease of 43.75% in area
Step-by-step explanation:
Finding Side Length of Q :
⇒ Side Length P (100% - 25%)
⇒ 75 % x Side Length O
⇒ 0.75 x 12 cm
⇒ 9 cm
Area of Squares P and Q :
⇒ Area (Square P) = (12)²
⇒ Area (Square P) = 144 cm²
⇒ Area (Square Q) = (9)²
⇒ Area (Square Q) = 81 cm²
% Decrease :
⇒ New - Original / New
⇒ 81 - 144 / 144
⇒ -63/144
⇒ -21/48
⇒ -7/16
⇒ -0.4375
⇒ Decrease of 43.75% in area
find the measure of the arcs around circle.
Can someone please help me with this last question? Thankyou in advance!
Step-by-step explanation:
so your points are going to be as follows, starting with the left-most point.
(-1, 7)
(0, 4)
(1, 3) [this is the vertex]
(2, 4)
(3, 7)
Answer:
attached image
Step-by-step explanation:
Reference function:
y = x^2
Translated function:
y = a(x - h)^2 + k
k is vertical translation (up if positive or down if negative)
3 in your formula so it move up 3
h is horizontal translation (left if positive or right if negative)
1 in your formula so shifted 1 to the right horizontal translation
a is the vertical scaling
it can be either compressed (more narrow) or streched (wider)
a < 0 the graph is either stretched or compressed and also reflected about the x -axis
none in your formula
Louis needs to secure his tent.He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener,as shown
If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Louis needs to secure his tent.
He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener
We have to find the length of the rope by using pythagoras theorem
12²+9²=x²
144+81=x²
225=x²
Take square root on both sides
x=√225
x=15
The total length is 12+9+15=36 ft
Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.
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PLEASE HELP PLEASE HELP PLEASE
Answer:
(5,5) Remember, the bottom line always goes first since it is the X axis, and the one going up and down goes second because it is the Y axis :D
Step-by-step explanation:
34. x-y=3 What is the slope?
Answer:
Step-by-step explanation:
Discussion
You have to rearrange the equation so that y is all by itself on the left and it must be positive. Stay tuned to get the rest of the rule.
x - y = 3 Multiply the whole equation by -1
-1(x - y = 3) Remove the brackets. This gets y to be +
-x + y = - 3 Add x to both sides of the equation.
-x+x + y = -3 + x Combine the left. Notice the x's disappear on the left
y = - 3 + x
Now for the rest of the rule. The number in front of the x is the slope. But, you say, there is no number. Well there is. It's 1.
Answer
The slope of the line is 1.
