Step-by-step explanation:
SA = ((p x h) / 2) + b
p = perimeter of the base
h= height = 11in
b = area of the base
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Answer:
(c) 75
Step-by-step explanation:
The surface area is the sum of the areas of the four triangular faces and the square base. For base side length s, the base area is ...
A = s²
For slant height h and base s, the area of one triangular face is ...
A = 1/2(s)(h)
Then the total surface area is ...
SA = s² + 4(1/2sh) = s(s +2h) . . . . . surface area of square pyramid
For a side length of s = 3 in and a slant height of h = 11 in, the total surface area is ...
SA = (3 in)(3 in + 2×11 in) = (3 in)(25 in)
SA = 75 in²
Find all the missing elements
Answer:
A = 23°
b = 9.5
c = 14.7
Step-by-step explanation:
B = 32°
C = 125°
a = 7
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (32° + 125°)
A = 23°
✔️Find b using Law of Sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(23)}{7} = \frac{sin(32)}{b} [/tex]
Cross multiply
[tex] sin(23)*b = sin(32)*7 [/tex]
Divide both sides by sin(23)
[tex] b = \frac{sin(32)*7}{sin(23)} [/tex]
b = 9.5 (nearest tenth)
✔️Find c using Law of Sines:
[tex] \frac{sin(A)}{a} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(23)}{7} = \frac{sin(125)}{c} [/tex]
Cross multiply
[tex] sin(23)*c = sin(125)*7 [/tex]
Divide both sides by sin(23)
[tex] c = \frac{sin(125)*7}{sin(23)} [/tex]
c = 14.7 (nearest tenth)
How many different ways may a set of 4 books be arraged side by side on a shell?
Answer:
24
Step-by-step explanation:
4 * 3 * 2 * 1 = 24
Identify which shapes are similar to shape A and which are not.
Answer: Shape 3 and Shape 2
Hope this helps...
Have a great day.
What does 32.689 x 10³ =???
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{32.689\times 10^3}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10 \times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]
[tex]\mathsf{32.689 \times1,000}[/tex]
[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
-5х = y – 5
—2y = x — 21
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Answer:
(x, y) = (-1 2/9, 11 1/9)
Step-by-step explanation:
My favorite solution method is a graphing calculator. It shows the solution to this system of equations is ...
(x, y) = (-1 2/9, 11 1/9)
__
When the solutions are not integers, sometimes solutions involving elimination or substitution get into arithmetic with fractions. Using matrix methods, such as Cramer's Rule can avoid that until the last step. Here, we'll use a "cross multiplication" method.
First we put both equations into general form.
5x +y -5 = 0
x +2y -21 = 0
Now, we consider the array of coefficients, with the first repeated as the last:
5, 1, -5, 5
1, 2, -21, 1
The differences of cross products of adjacent columns are ...
d1 = (5)(2) -(1)(1) = 10 -1 = 9
d2 = (1)(-21) -(2)(-5) = -21 +10 = -11
d3 = (-5)(1) -(-21)(5) = -5 +105 = 100
The relation ...
1/d1 = x/d2 = y/d3
specifies how these differences are used to find the solutions.
x = d2/d1 = -11/9 = -1 2/9
y = d3/d1 = 100/9 = 11 1/9
The solution is (x, y) = (-1 2/9, 11 1/9).
Simplify -|-7+4|
O -3
O 3
O 11
Answer is 11
-(-7+4)
Firstly, negative times negative equals to positive so It becomes like this:
+7+4
equals to 7+4
equals to 11!
I hope this is helpful :D
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
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Answer:
(a) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Build times are 4 hours for a child's bike and 6 hours for an adult's bike. The number of build hours cannot exceed 120. This gives the first inequality:
4c +6a ≤ 120
Test times are 4 hours each. The number of test hours cannot exceed 100. This gives the second inequality:
4c +4a ≤ 100
This pair of inequalities matches choices A and C.
When we use c=20 and a=6, these become ...
4(20) +6(6) = 116 ≤ 120 . . . true
4(20) +4(6) = 104 ≤ 100 . . . false
The order cannot be built because the test time constraint cannot be met. This matches choice A.
What is the slope of the line that passes through the points (3, 2) and (-1,-4)?
Answer:
3/2
Step-by-step explanation:
slope formula is
y2 - y1 / x2 -x1 = m
so now we just plug in our coordinates.
-4 - 2 / -1 - 3 = -6 / -4 = 3/2
What is the value of xin the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
B
х
D
с
30
A. 6.5
B. 16
C. 14
D. 30.1
Answer:
the answer is letter A. 6.5
Step-by-step explanation:
it's correct if I'm rwong ( ╹▽╹ )
5. The Colorado state flag consists of three horizontal stripes of equal height. The side lengths of the flag are in the ratio 2 : 3. The diameter of the gold-colored disk is equal to the height of the center stripe. What percentage of the flag is gold?
Answer:
the diameter of the circle is ⅓ of the height
so the radius is 1/6 of the height
the area of the flag is 1*1.5 of the height
(we need to consider this)
pi*(1/6)² / 1.5
= 0.058177
so the percentage is
5.82 %
So, the required percentage is [tex]5.81\%[/tex].
To understand the calculations, check below.
Area of the disk:The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.
That is [tex]Area=\pi \frac{d^2}{4}[/tex]
Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.
So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]
Now, by using the above formula the area of the gold disk will be,
[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]
And the area of the flag will be,
[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]
So, the required percentage is,
[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]
Learn more about the topic Area of the disk:
https://brainly.com/question/21881629
Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.
Answer:
Remember that tan=y/x from your notes from module 4.
Step-by-step explanation:
Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.
For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.
Answer:
-1/1
Step-by-step explanation:
The product of two consecutive odd integers is 399. What equation would be used to solve
this problem?
Step-by-step explanation:
the answer is in the image
The four sides of Pam's vegetable garden are
26 3/4 feet,
24 1/2 feet,
23 1/2 feet, and
18 1/4 feet. How many feet of fencing are needed to go around the garden? First estimate the answer, then solve to find the exact answer.
Answer:
The perimeter of the garden would be 93 feet, meaning you would need 93 feet of fencing.
Step-by-step explanation:
To find the perimeter of a shape you first need to know how long each side of the shape is and then add those sides together, once you have that number, you have your perimeter. I hope this helps.
Which ordered pair is a solution to the system of equation.
Answer:
The answer is the third option, (-2,1)
If f(x)=3/x+2-square root of x-3 what is f(19)
Answer:
-27/7
Step-by-step explanation:
Replace x with 19,
f(19)=3/(19+2) - root(19-3)
=3/21 - root(16)
=1/7 - 4
=1/7 - 28/7
= -27/7
Why do we divide log2(4) by 15 and why log4(15) turned to log2(15) i need deep explanation and understand the rest but i didnt get where the first step came from
Answer:
see below
Step-by-step explanation:
log 4 (15)
We need to change the base from 4 to 2
log b (a) = log x(a) / log x(b) where x is the base that we need
log4 (15) = log 2 (15) / log 2 (4)
Answer to the question
Answer:
Step-by-step explanation:
In a parallelogram,
i) opposite sides are equal and parallel.
So, DC = AB
DC = 28 units
ii) Diagonals bisect each other.
AC bisects BD
DE = EB = [tex]\frac{1}{2}[/tex] BD
DE = [tex]\frac{1}{2}*91[/tex] = 45.5
DE = 45.5 units
Given: AC and DB bisect each other.
Prove: AABE ACDE. HELP WILL GIVE BRAINLEST AND 5 stars
Answer: XY ≅ WZ
Hope this helps...
Have a great day!
Can someone help me please
Answer:
C
Step-by-step explanation:
All others can be proved false.
A farmer introduces 100 trout into his pond. ♀️♀️ pls help
Answer:
The horizontal asymptote represents the terminal population of the trout.
Step-by-step explanation:
The horizontal asymptote of the given rational function is the limit of [tex]p(t)[/tex] when [tex]t \to +\infty[/tex]. That is:
[tex]\lim_{t \to \infty} p(t) = \lim_{t \to \infty} \frac{150\cdot t + 100}{0.04\cdot t + 1}[/tex] (1)
Then, we apply the concept of limits for rational-polynomial functions:
[tex]\lim_{t \to \infty} \frac{\frac{150\cdot t}{t} + \frac{100}{t}}{\frac{0.04\cdot t}{t} + \frac{1}{t} }[/tex]
[tex]\lim_{t \to \infty} p(t) = 3750[/tex]
The horizontal asymptote represents the terminal population of the trout. In this case, the terminal population of the trout is 3750.
Simplify Complex Numbers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
definition of descartes
Answer:
French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)
Two of the desserts are sugar free
Three of the drinks are sugar free
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
Find the volume of the triangular prism.
Answer:
33.55 m³
Step-by-step explanation:
volume is base area times height.
the base area is a right-angled triangle (a×b/2).
At = 2.5×4.4/2
the height is 6.1
the total volume is then
2.5×4.4×6.1/2 = 33.55 m³
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
I dont know how to do this please help me
problem 17=A
problem 4= C
problem 9= B
problem 11= C
problem 14= D
Please help me no links!!
Answer:
Step-by-step explanation:
The line is parallel to y axis so
slope : undefined
y intercept : the line doesn’t intercept y axis
Equation : x = -6
what is the domain of the table
Answer:
Letter A
Step-by-step explanation:
The domain is the input or the x-value
The range is the output or the y-value
Hope this helps
The ratio of cars to people is 1 to 4 1/2
write as a reduced fraction
Answer:
[tex]1 : 4\frac{1}{2} \\ = 1 : \frac{9}{2} \\ = \frac{1}{ \frac{9}{2} } \\ = \frac{2}{9} [/tex]
In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
43,567
45,248
53,901
562,011
Answer:
53,901
Step-by-step explanation:
The value given is: 245,093.
5 is in the thousands place. Multiply the thousands place with ten:
1,000 x 10 = 10,000
This means that the number with 5 in the ten thousands place will be your answer.
53,901 is your answer.
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