Answers
Answer:
Area of rectangle OABC = 18 units²
Step-by-step explanation:
From the graph attached,
Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).
Length of side AO = 6 units
Length of side OC = 3 units
Area of the rectangle = Length × Width
= OC × AO
= 3 × 6
= 18 square units
Related Questions
Jacob and Sarah are saving money to go on a trip. They need at least $1850 in order
to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $15
each time he mows a lawn and Sarah charges $10 each time she walks a dog. The
number of dog walks that Sarah has scheduled is no more than five times the
number of lawns Jacob has scheduled to mow. Sarah will walk at least 65 dogs.
Answers
Answer:
[tex]\textsf{Constraint 1}: \quad 15x+10y\geq 1850[/tex]
[tex]\textsf{Constraint 2}: \quad y \leq 5x[/tex]
[tex]\textsf{Constraint 3}: \quad y \geq 65[/tex]
Step-by-step explanation:
Inequality signs:
< Less than.≤ Less than or equal to.> More than.≥ More than or equal to.Given variables:
x = Number of lawns mowed.y = Number of dogs walked.Constraint 1Given information:
$15 = Charge for mowing a lawn.$10 = Charge for walking a dog.$1850 = Minimum amount needed for the trip.Therefore, the amount earned from mowing the lawns and walking dogs should be more than or equal to $1850:
[tex]\boxed{15x+10y\geq 1850}[/tex]
Constraint 2Given information:
The number of dog walks that Sarah has scheduled is no more than 5 times the number of lawns Jacob has scheduled to mow:Therefore, Sarah will walk less than or equal to 5 times the number of lawns mowed:
[tex]\boxed{y \leq 5x}[/tex]
Constraint 3Given information:
Sarah will walk at least 65 dogs.Therefore, Sarah will walk more than or equal to 65 dogs:
[tex]\boxed{y \geq 65}[/tex]
I also need help with this cuase honestly i'm really bad at math
Answers
Answer:
A
Step-by-step explanation:
Angles that form a straight line ( add up to 180 ) are supplementary
angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary
Angles 1 and 7 are congruent angles
so angle 2 = 125
Subtract 125 from 180 = 55
180 - 125 = 55 degrees
60 is it
20 POINTS AND BRAINLIEST IF YOU GET ALL OF THIS RIGHT
Solve for x.
5x - 4 = -3x + 12
x = 2
x = 6
x = -4
Solve for x.
5x - = 4x +
x = 5/9
x = -1/3
x = 5/18
Solve for x.
12x - 17 = 5x + 19
x = 2/7
x = 7/5
x = 36/7
Solve for x.
7x + 17 = 3x + 21
x = 1
x = 3/4
x =4/3
Answers
Which decimal number is equal to
2/4?
Answers
Answer:
.5
Step-by-step explanation:
2/4 2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2
1/2= .5
Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).
f(x) = -4x + 7
g(x) = 2x2 + 5x – 8
Answers
Answer:
-93
Step-by-step explanation:
Step one:
given the expressions
[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]
we want (fog)(-3).
but (fog) is
[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]
Step two:
fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7
[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]
Solve the system of equations by substitution.
3x - 4y = 13
5x + 4y = 11
The solution of the system is x = and y=
(Type integers or simplified fractions.)
Answers
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
Step-by-step explanation:
[tex]3x - 4y = 13[/tex]
[tex]5x + 4y = 11[/tex]
isolate x for 3x-4y=13
[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]
[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
now isolate y for [tex]\frac{65+32y}{3}=11[/tex]
[tex]\frac{65+32y}{3}=11[/tex]
[tex]65+32y=33[/tex]
[tex]32y=-32[/tex]
Divide both sides by 32
[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]
[tex]=\frac{13-4\cdot \:1}{3}[/tex]
[tex]=\frac{9}{3}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]
[tex]=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=-1[/tex]
PLZ HELP THANK YOU BRAINLIEST IF CORRECT select all that apply (look at the photo)
Answers
150/20 is 7.5
if you divide these options by each other you’ll 7.5 which means they’re equal :)
1. Find the mean, median, mode, and range of
the following set of data: 1,2,4,6,4,4
Answers
Step-by-step explanation:
the median is 4
the mean is 1+2+4+6+4+4/6
21/6=7\2
6.5 the mode is 4
Use the triangle shown on the right to answer the question. Which equation can you use to solve for a?
Answers
Answer:
B
Step-by-step explanation:
The equation that can be used to solve for 'a' is a/sin35° = 30/sin60°.
What is a triangle?A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know sine rule of triangles which states,
a/sinA + b/sinB + c/sinC.
We also know that the sum of all the interior angles in a triangle is 180°.
Therefore, The measure of angle B is 180° - (35 + 85)°.
= 60°.
So, The equation can you use to solve for 'a' would-be,
a/sin35° = 30/sin60°.
asin60° = 30sin35°.
(√3/2)a = 30×0.5735.
a = (30×0.5735)/0.866.
a = 17.205/0.866.
a = 19.87.
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8 (4 x 2.3)
A 8 x 2.3
B 4 x 2.3
C 8 x 9.2
D 8 x 4
Answers
Answer:
8 x 9.2
Step-by-step explanation:
-0.9 -1.2 which one is greatest
Answers
Answer:
-0.9
Step-by-step explanation:
it is closer to 0
What is 4/9 + 10/7
GIVING BRAINLIEST TO FIRST ANSWER
Answers
Answer:
14/16
Step-by-step explanation:
Answer:
1.86234q3eq23423we2q34e12342134
Step-by-step explanation:
YOU FIRGURE IT UR SELF U SCAMMED ME
I WILL GIVE BRAINLIEST I NEED HELP
Answers
Answer:
c
Step-by-step explanation:
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answers
We know that f(x) is a positive, decreasing, and concave down function.
Therefore, the order, from least to greatest is:
right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpointA 330-lb gorilla climbs a tree to a height of 21 ft. Find the work done if the gorilla reaches that height in the following times.
(a)
10 seconds
W =
(b)
W =
5 seconds
Need Help?
ft-lb
ft-lb
Read It
Watch It
Answers
According to the solving the work done if the gorilla reaches that height:
= 8400 ft lb.
What is meant by "work done"?The work performed by a force is defined as the sum of the displacement and or the component of both the applied force of both the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move more quickly. W = F stands for "work done."
The purpose of the work?Anytime a force transports something over a distance, work is performed. By multiplying the force by both the distance moved inside this direction of the force, you may determine the amount of energy transferred or work accomplished.
According to the given data:The effort put in by a 350-pound gorilla climbing a 24 foot staircase can be computed as:
(a) t = 10 sec
WF = (350 lb) (24 ft)
= 8400 ft lb (answer)
(b) t = 5 sec
WF = (350 lb) (24 ft)
= 8400 ft lb
work done does not depends on time.
According to the solving the work done if the gorilla reaches that height:
= 8400 ft lb.
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please help I really need it guys
Answers
Answer:
45 feet.
Step-by-step explanation:
The Lighthouse is half of the Base.
Simplify using the distributive property.
7/6 (30 − 18)
A. 14
B. 35
C. 56
D. I don't know.
Answers
The distributive property to simplify the expression 7/6 (30 − 18) is (a) 14
Using the distributive property to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
7/6 (30 − 18)
When the expression is expanded, we have the following
7/6 (30 − 18) = 7/6 * 30 − 7/6 * 18
Evaluate the products
This gives
7/6 (30 − 18) = 35 − 21
Lastly, we have
7/6 (30 − 18) = 14
Hence the expression when simplified is (a) 14
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Whats the constant term for y=3x + 5
1. 3
2. 5
Answers
3 is the constant/ slope
5 is the y intercept
Pllzzzzzzz help now it’s due today
Answers
Answer:
Step-by-step explanation:
Find the slope of the line that passes through the given points.
(−9, 8) AND (6, -3)
m =
Answers
Check out the attached photo
First year students in rolled at a college were asked whether they play video games. The responses, classified by whether the students were enrolled in the school of sciences the school of arts are shown in the table.
Answers
50 Points!
During a particular week, a company wants Angie and Dylan to work at most 60 hours
between them. Write the inequality that shows x, the number of hours Angie works,
and y, the number of hours Dylan works.
Answers
round 307,451 to the nearest thousand
Answers
Answer: 307,000
Step-by-step explanation: Since 451 is less than 500, you want to round down.
Answer: 307,000
Step-by-step explanation: A number rounded to "the nearest thousand", must be multiple of 1000. In this case the value would be 306,000 or 307,000, or 308,000 or 309,000, depending on which of these our given number is closest (nearest) to. 307,495 is less than 307,500 , which is the value halfway between 307,000 and 308,000.
state which theorem you can use to show that the quadrilateral is a parallelogram.
Answers
Answer:
Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.
Step-by-step explanation:
POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.
POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.
A quadrilateral has to meet both of these theorems to be a parallelogram.
The sum of the measures of the angles of any triangle is 180. In a particular triangle, one angle is 40 greater than the smallest angle, and the third angle is 10 less than three times the smallest angle. Find the measure of the three angles.
Answers
Answer:
The smallest angle is 30 degrees, the second angle is 80 degrees and the third angle is 70 degrees
Step-by-step explanation:
let x = the smallest angle
This means that one angle is x+40, and the third angle is 3x-10. This make our equation:
x + 40 + 3x - 10 + x = 180
Combine like terms
5x + 30 = 180
Subtract 30 from both sides
5x = 150
Divide both sides by 5
x = 30
Plugging this in:
3x - 10 =
90 - 10 =
80
And for the other:
x + 40 =
30 + 40 =
70
A cookie recipe calls for 3 cups of sugar and yields 24 cookies how much sugar will be needed to make 3 dozen cookies
Answers
Answer:4.5 cups of sugar
Step-by-step explanation:
Okay so 24 cookies is 2 dozen
1 cup of sugar would be used for every 8 cookies
3 dozen is equal to 36 cookies
36/8=4.5 so you would need 4.5 cups of sugar
Please help. Have a good day
Answers
Negative ten is no less than two times a number plus fourteen
can you please solve it
Answers
Answer:
-12≥x
Step-by-step explanation:
-10≥2x+14
-24≥2x
-12≥x
In a group there are 10 owners and 20 workers. four workers are chosen what is the probability of choosing four worker sequentially
Answers
Answer:
15
Step-by-step explanation:
15
PLEASE HELP WITH BOTH I WILL GIVE BRAINLIST PLEASE THANK YOUUU