Answer:
4464in^3
Step-by-step explanation:
Length of Box = 24 in.
Width = 1/2 x Length = 1/2 x 24 = 12in.
Height = 3.5 + Width = 3.5 + 12 = 15.5 in.
Volume of box = Volume of Cube =
Length x Width x Height =
24x12x15.5 = 4464in^3
Which angles are complementary to each other? Select all that apply.
The complementary angles are ∠1 and ∠5. The correct option is D.
What are complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then:
A + B = 90 degrees
A = 90 - B
B = 90 - A
For example, if angle A measures 30 degrees, then angle B would measure 60 degrees to make a complementary pair. Complementary angles are often used in geometry and trigonometry to solve problems involving right triangles and other geometric shapes.
The two angles ∠1 and ∠5 have the sum of 90°. These angles are complementary to each other.
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6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
Answer:
[tex]18c - 30d + 36[/tex]
Step-by-step explanation:
Given
[tex]6(3c - 5d + 6)[/tex]
Required
Expand
[tex]6(3c - 5d + 6)[/tex]
Open bracket
[tex]6(3c - 5d + 6) = 6*3c - 6*5d + 6*6[/tex]
[tex]6(3c - 5d + 6) = 18c - 30d + 36[/tex]
So, the result of the expression is:
[tex]18c - 30d + 36[/tex]
answer all questions below. 50 points, grade 9 math
Answer:
1 will be less than 3 but still equal the x coordinate.
Exact Value Please.
Answer:
30
Step-by-step explanation:
Scientific calculator will help answering this
ACDE is reflected over the x-axis.
What are the vertices of AC'D'E'?
A. C’(-8,1), D’(-6,5), E’(-2,4)
B. C’(8,-1), D’(6,-5), E’(2,-4)
C. C’(-1,-8) D’(-5,-6), E’(-4,-2)
D. C’(8,1), D’(6,5), E’(2,4)
Answer:
A is the answer
Step-by-step explanation:
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
complementary x=5
Step-by-step explanation:
Look at the triangles shown below.
с
xlam
А
3 D
6
E
Which statement is true?
(x + y)
O Since AAEC ~ ADB according to the side-angle-side similarity postulate, then
2 6
x (x + y)
O Since AAEC ~ AADB according to the side-angle-side similarity postulate, then
2 Z
9 3
O Since AAEC - AADB according to the angle-angle similarity postulate, then
x
6 3
O Since AAEC ~ AADB according to the angle-angle similarity postulate, then
(x + y)
(x + y)
x
Answer:
I believe it is:
Since △AEC~△ADB according to the angle-angle similarity postulate, then 9(x+y)=3x9(x+y)=3x.
Step-by-step explanation:
Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?
Answer:
Step-by-step explanation:
The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The Simon's salary at present = $35730.40 p.a.
Increased rate = 6% = 0.06
(a) Simon's salary three years ago:
⇒ [tex]\$35730.40(0.06)[/tex]
⇒ [tex]\$2143.824[/tex]
Original salary of Simon,
⇒ [tex]35730.40-2143.824[/tex]
⇒ [tex]\$33586.576[/tex]
(b) Gross monthly salary at the present:
⇒ [tex]\frac{33586.57}{12}[/tex]
⇒ [tex]2798.88[/tex]
(C) Net pay per month:
Deductions each month amount to 22.5% of his gross salary,
⇒ [tex]22.5\%=0.225[/tex]
⇒ [tex]2798.88(0.225)[/tex]
⇒ [tex]\$629.79[/tex]
Thus net pay per month,
⇒ [tex]2798.88-629.79[/tex]
⇒ [tex]\$2169.09[/tex]
Hence we can conclude that
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
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Write the equation of the circle with a center at (11,6) and a radius of 6.
Answer:
(x-11)^2 + (y-6)^2= 6^2
Step-by-step explanation:
Answer:
(x - 11)² + (y - 6)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (11, 6 ) and r = 6, then
(x - 11)² + (y - 6)² = 6² , that is
(x - 11)² + (y - 6)² = 36
Which expression is
equivalent to -3(4 - 6x)?
show steps please
Answer:
-3(4 - 6x)
-12 +18x
=18x - 12
Step-by-step explanation:
You multiple the negative 3 with positive 4 to get negative 12.
An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer
Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2
What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2
Answer:sorry its c
Step-by-step explanation:
The mean value of Keisha’s data is 1.333333.
What is Mean?The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),
We have the data,
0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.
So, the mean value of data is
= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12
= 16/12
= 4/3
= 1.33333
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Which equation represents a line that is perpendicular to the line represented by
4x + y = 7 and passes through the point (1, 8)?
Question 2 options:
y = 14x + 334
y = 4x + 4
y = 14x + 314
y= −4x + 12
Answer:y= -4x + 12
Step-by-step explanation: i graphed it
find the value of n
1/4(2n +6) = 4
Answer:
n=5
Step-by-step explanation:
1/4(2n +6) = 4
Multiply each side by 4
4*1/4(2n +6) = 4*4
(2n +6) = 16
Subtract 6 from each side
2n+6-6 = 16-6
2n = 10
Divide each side by 2
2n/2 = 10/2
n =5
Answer:
n= 5
Step-by-step explanation:
Hello! So to find the value of n, we just multiply 1/4 by the numbers inside the parentheses and then solve for n by dividing. Let's do it!
1/4 (2n + 6) = 4
0.5n + 1.5 = 4
0.5n = 4 - 1.5
0.5n = 2.5
n = 2.5 / 0.5
n = 5
Hope that helps, let me know if you have questions! :)
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
the width is x - 3
~iwa-chan
A square pyramid how many number of faces?
A. 5
B. 6
C. 7
D. 8
Answer:
I believe a pyramid has A. 5 faces
Answer:
A. 5
Step-by-step explanation:
A. 5 faces
4x^2 - 7x -2 = 0
PLEASE HELP! I WILL MARK AS BRAINLIEST!
Answer:
2,-1/4
you can use the calculator to find the answer .
depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x
complete the equation of the line whose slope is -2 and y intercept is (0,3)
Answer:
y = -2x+3
Step-by-step explanation:
This is assuming you want the answer in slope-intercept (y = mx+b)
You need to know:
y = The line
m = The slope
b = The y-intercept
Step 1, replace the slope (m):
y = -2x+b
Step 2, replace the y-intercept (b):
y = -2x+3
Conclusion to 'complete the equation of the line whose slope is -2 and y intercept is (0,3)': y = -2x+3
HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!
Answer:
-4
Step-by-step explanation:
probability help , not understanding
Answer:
70%
Step-by-step explanation:
ILL GIVE U BRAINLYISST
Answer:
d
Step-by-step explanation:
Cant be negative fraction.
Answer:
D.
Step-by-step explanation:
It isn't a real number and isn't used correctly.
The image of the point (4, 3)(4,3) under a translation is (5, 1)(5,1). Find the coordinates of the image of the point (9, -3)(9,−3) under the same translation.
A 192in2
B 96in2
C 288in2
D 240in2
Answer:
d
Step-by-step explanation:
Matteo has &400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings account. He is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
If a/b = 2/3, then 3a = ___.
Answer:
2b
Step-by-step explanation:
a/b = 2/3
3a = 2b
Identify a, h, and k for the equation
WILL GIVE BRAINLIEST
The five values for a data set are: minimum=11 Lower quartile=12 Median=23.5 Upper quartile=27 Maximum=33 Where will the different sections of the box plot be located?
Answer:
The answer is "Please find the given plot which is shown in the figure".
Step-by-step explanation:
[tex]Minimum = 11\\\\Lower \ quartile = Q_1 = 12\\\\Median = Q_2 = 23.5\\\\Upper \ quartile = Q_3 = 27\\[/tex]
Boxes are between 12 and 27 [tex]\to Q_1 \ \ to \ \ Q_3[/tex]
The box divides a line at 23.5 [tex]\to Q2[/tex]
The left whisker would be 11-12 [tex]\to Minimum \ \ to\ Q_1[/tex]
The proper whisker will be 27 to 33 [tex]\to Q_2 \ \ to \ \ Maximum[/tex]
Marlon and Brent are each measrueing one of their shoes. Their shoes measure 15 inches in all. Marlon's shoe is 1 inch longer than Brent's shoe. How long is Brent's shoe?
Answer:
16
Step-by-step explanation:
15 plus 1 equals 16 I hope this helps
find the area_______
Answer:
32√3
Step-by-step explanation:
area = product of diagonals/2
= (8√3 × 8)/2
= 64√3 /2
= 32√3
Help help me please ASAP
Answer:
20
Step-by-step explanation:
b1+b2÷2×h
6+2=8
8÷2=4
4×5=20
Answer:
20 in²
Step-by-step explanation:
Area of trapezoid = (1/2)*(sum of parallel sides)*height
Height given=5 in
Sum of parallel sides=b1+b2=6 in+2 in=8 in
Area=(1/2)*8*5=20 in²