Answer:
64.3 m²
Step-by-step explanation:
The figure is composed of a square and a quarter circle.
Therefore, area of the figure = area of the square + area of quarter circle
= s² + ¼(πr²)
Where,
s = 6 m
r = 6 m
Plug in the values
Area = 6² + ¼(π*6²)
Area = 64.274334 ≈ 64.3 m² (nearest tenth)
The Johnson's bill at the restaurant is $112.00. How much should Mr. Johnson leave as a tip if he plans to tip 15%?
A-$15.00
B-$16.80
C-$95.20
D-$128.80
Answer:
D. $128.80
Step-by-step explanation:
You find tip by dividing the percentage by 100 and multiply that number by the decimal. ($112)*(.15)= $16.80
Then you add them and get $128.80
HELPPPPPPPPPPP PLSSSSSSS URGENTTTTT PLS I ACTUALLY NEED HELPPPPP ILL MARK BRAINLIET ONLY IF YOU ACTUALLY HELP MEEQuestion 2 (2 points)
A survey asked 800 students to choose their favorite school subject. The results are shown in the table. Which of the options below is the better
representation of the portion of students who prefer math?
Favorite School Subject
Number of
Subject
Students
Science
224
Math
176
Literature
240
Social studies 160
O a
Oь
Oc
Both would be good representations of the portion of student who prefer math.
Neither would be good representations of the portion of student who prefer math.
Favorite School Subject
Social
studies
Science
28%
20%
Literature Math
30%
22%
Od
Favorite School Subject
250
Number of
students
150
100
50
0
Science
Math Literature Social
Answer:
C
Step-by-step explanation:
When you compare it to the other one it just looks better yk. I don't really have a fancy explanation for this, the pie chart just makes the numbers look more even.
Find the sum of the first 24 terms in the following arithmetic
series:
9+13+17+21+..
Answer:
1212
Step-by-step explanation:
Wendy manages a warehouse. At the end of the year, she decides that she will hire at least 8 new full-time employees. Including benefits, dock workers earn $25,000 per year while forklift operators earn $40,000. She estimates that she can spend a maximum of $250,000 on new employees. The following system of equations is graphed below.
with these restrictions how many different combinations of dock workers and forklift operators can Wendy hire?
9514 1404 393
Answer:
7
Step-by-step explanation:
There are 7 grid intersection points in the feasible region. They are ...
(dock workers, forklift operators) = (x, y) = ...
(8, 0), (9, 0), (10, 0), (7, 1), (8, 1), (6, 2), (5, 3)
Wendy can hire 7 different combinations of workers.
Find the slope please
ack can someone help?
Answer:
2.8
Step-by-step explanation:
hypotonus is the longest edge of any triangle;
here the tallest edge equals the root of 8
the root of 8 = 2.83
What inequality does the number line graph represent?
Answer:
3
°•°°•••°°•••••••••°•○○○●••
Whoops i dont know how to undo a question
no way number three?!
In a rhombus, an altitude from a vertex of an obtuse angle bisects to opposite side. Find het measures of the angles of the rhombus.
Answer:
The angles are : 30° , 90° , 60° and 120°
Step-by-step explanation:
In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°
In other to find the net measure of the angles
we will draw altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.
let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x
side( hypothenuse ) of rhombus = x
sine = opposite / hypothenuse
hence sine x = 1/2 x / x
∴ sin x = 1/2
therefore to determine the value of x
sin^-1 ( x ) = sin^-1 ( 1/2 )
hence ; x = 30
given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°
Given that the acute angle and the obtuse angle of a rhombus is supplementary
hence the value of the obtuse angle = 180° - 60° = 120°
What is 9/20 minuets 5/20
Answer:
I'm confused on what you're trying to ask
Answer:
[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].
Step-by-step explanation:
When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].
Please help, thank you! I'll give brainliest to the correct answer with an explanation.
Meredith is a very consistent bowler. Her most recent scores are expressed in the following stem-and-leaf plot.
What is the median of her scores? (Look at the image)
122
119
121
117
Answer:
119
Step-by-step explanation:
3(x-4)+3=9
Who Can do this Linear equation
Answer:
x=6
Step-by-step explanation:
i used an app called math-way hope this helps.
Answer:
x = 6
Step-by-step explanation:
3(x-4) + 3 = 9
3x - 12 + 3 = 9
3x - 9 = 9
3x = 9 + 9
3x = 18
x = 6
If x=7 and y=−2, evaluate the following expression:7(2x−3y)
Answer:
140
Step-by-step explanation:
7(2x-3y)
7(2*7-3(-2))
7(14+6)
7(20)
140
PLEASE HELP AND SHOW WORK PLS QUICK
Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.
(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.
(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.
Step-by-step explanation:
This is an altitude hypotenuse problem.
Answer:
a) (100-x)/86.6 or x/50
b) 10,000 (86.6^2 + 50^2)
Step-by-step explanation:
To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle
So if you use the small triangle you use the angle of 60 degrees
You have your hypotenuse and you need to find your adjacent
So use cos(60)=x/50
Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6
for b, use (100-x)^2 = 86.6^2 + 50^2
50^2 = x^2 + 43.3^2
2. Which equation represents a line that passes through the points (4, 5) and (6, 9)?
Answer:
y=2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-5)/(6-4)
m=4/2
m=2
y-y1=m(x-x1)
y-5=2(x-4)
y=2x-8+5
y=2x-3
Mrs.Ramirez worked with her personal trainer to help develop a nutrition plan. The circle graph shows the recommended percentages for her daily intake. If she will start week 1 eating 1,800 calories, then how many should be from proteins?
Daily food intake:
Fruit: %15
Grains: %15
Protein: %35
Dairy: %10
Vegetables: %25
Answer choices:
A.450
B.350
C.630
D.270
(Please help!)
Answer:
C
Step-by-step explanation:
[tex]\frac{35}{100}*1800\\35*18\\[/tex]
630
The portion of protein will be 630.
What is pie chart?The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.
Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,
Here the portion of protein = 35%
So,
35 / 100 × 1800 = 630
Hence the portion of protein will be 630.
Learn more about pie chart click;
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Helpppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
the answer is A
Step-by-step explanation:
A is the answer my dear
Find each product of the equation. I need help please
Answer:
1. 15x-10
2. x²-x-12
3. x²-8x+12
4. 2x³+4x²-30x
5. 6x³- 12x²+6x
6. 4x³+12x²-20x
Step-by-step explanation:
4.2x(x+5)(x-3)
= 2x(x²-3x+5x-15)
= 2x(x²+2x-15)
= 2x³+4x²-30x
Pls help me!!! And thank youuuuu
Alicia and Thea are in charge of determining the number of T-Shirt to order to sell in the school store. Each Student collected sampled data from the population of 300 students. Alicia surveyed 50 students in the cafeteria. Thea surveyed the first 60 students who arrived at school one morning. Use Alicia's data to estimate the number of T-Shirts they should order
Answer: 360
Step-by-step explanation:
Since we are informed from the question that Alicia surveyed 50 students in the cafeteria from the population of 300 students, it simply means that she surveyed 50/300 = 1/6 of the students.
Since Thea surveyed the first 60 students who arrived at school one morning, the number of T-Shirts taht they should order will be:
= 1/6 × x = 60
x = 60 × 6.
x = 360
They should order 360 t-shirts for the students.
Answer: Look at the explanation. Note that this is from the book.
Step-by-step explanation:
Alicia: 30/50 = x/30
x=180
They should order about 180 T-shirts.
Thea: 51/60 = x/300
x = 255
They should order about 255.
Note that we got the 300 from what the question said of the population being 300 students.
Hope this helps you!
Find the measure of a positive and a negative angle that are coterminal with each of the given angles:
Complete question is;
Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.
8. θ = -25°
9. θ = -390°
Answer:
8) Negative coterminal angle = -385°
Positive coterminal angle = 335°
9) Negative coterminal angle = -750°
Positive coterminal angle = 330°
Step-by-step explanation:
For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.
Thus;
8) for θ = -25° ;
Negative coterminal angle = -25° - 360° = -385°
Positive coterminal angle = -25° + 360° = 335°
9) For θ = -390° ;
Negative coterminal angle = -390 - 360 = -750°
Positive coterminal angle = -390 + 360 = -30°
Since it's negative, we add 360 again till it's positive.
Thus = -30° + 360 = 330°
1. By selling an article at N600.00, a
trader makes a profit of 20%. Find the
cost price.
Answer:
500
Step-by-step explanation:
SP = 600.00
profit= 20%
SP = CP + 20% of CP
or, 600.00 = CP + 20/100 × CP
or, 60000= 120CP
or, CP = 60000/ 120
CP = 500
can someone help me i need to find the value of x that will make a||b
X= 54
hope it helps
Solve the system of linear equations using either substitution or the elimination method.
2x+y=6
3x-y=4
Answer:
x=2;y=2
Step-by-step explanation:
2x+y=6..........1
3x-y=4............2
adding equation1 with equation 2
2x+y+3x-y=6+4
5x=10
x=10/5=2
substituting vslue of y in equation 1
2×2+y=6
y=6-4
y=2
13 Calculate circumference of the circle. ( use t = 3.14) r=41 cm
Answer:
257.48 cm
Step-by-step explanation:
circumfrence of circle = 2*pi*radius
2 *3.14*41
257.48 cm
don't forget the unit
Padma makes two investments of $700 each for a term of 1 year, where investment A is linear and will increase at a constant rate of change, while investment B is exponential will increase by a common ratio.
Answer:
See the explanation below
Step-by-step explanation:
Given data
Amount invested= $700
Time = 1 year
Say the percent increase for both investments is
The representation of the linear investment A is given by the linear function
y=mx+c
here m= the percent increase
x= the time taken and
c= the invested amount
By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount
The representation of the exponential investment A is given by the linear function
y=ab^x
here a= the invested amount
b= the rate
x= the time
By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount
help me!! pls math question
Answer:
a) 33
Step-by-step explanation:
triangle inequality theorem
- the sum of any two sides of a triangle must be greater than the third
Please help!! : ))))
Answer:
D. The mean will increase and the median will remain the same
Step-by-step explanation:
First I’d order them from smallest to largest in the data set:
3, 5, 6, 6, 7, 11
The median here is 6.
Then the mean would be 6.33
Then it says if 3 is removed:
5, 6, 6, 7, 11
So we would know the median is 6
The mean here would be 7
So we can see the mean increases but the median stays the same, therefore the answer is D
The manager at a grocery store took a survey to determine the price of milk at 10 other stores in the area. The prices are shown in the table.
$2.99
$3.19
$3.29
$2.99
$3.19
$2.79
$2.89
$2.99
$2.99
$2.99
The price of milk at another grocery store is $4.49. What does this outlier do to the data?
A.
It increases the median.
B.
It increases the mode.
C.
It skews the data to the right.
D.
It decreases the interquartile range.
Answer:
C it skews the data to the right
Step-by-step explanation:
When we add the outlier $4.49, the two true options are A and C.
What does this outlier do to the data?
First, we have the set of data:
{$2.99, $3.19, $3.29, $2.99, $3.19, $2.79 ,$2.89, $2.99, $2.99, $2.99}
If we add the outlier $4.49, the median increases (because the value added is on the larger side).
The mode does not change, as it is the value that appears the most times, which in this case is $2.99.
Notice that again, $4.49 is the largest value of the data set. So it would skew the data to the right (the largest values are on the right side).
Then the correct options are:
A and C.
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