Answers:
blank 1 = 20blank 2 = 5.7blank 3 = 57============================================================
Explanation:
The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20
The perimeter is 20 inches.
This is the answer for blank 1.
This is the amount of fencing needed to enclose the pentagonal base.
-------------------------------
The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.
The diagram shows the slant height is 5.7 inches which is the answer for blank 2.
-------------------------------
LA = lateral surface area
The lateral area is the area of everything except for the base polygon.
Each triangle has a base of 4 inches and height 5.7 inches.
Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.
Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.
For each blank, you'll only enter the number itself of course.
The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.
i dont understand any of this please help
Answer:
92%
Step-by-step explanation:
To convert a fraction to a percent, you can divide the numerator by the denominator to end up with a decimal, in this case 0.92. Then, to convert to a percent, move the decimal two places to the left. As a result, we have 92%.
hope this helps!
James earns $418 per week and has one exemption. His office’s payroll software is broken and can only compute the withholding for zero exemptions. What weekly salary with 0 exemptions would give the closest exemption to what James should have?
James should earn a weekly salary of $ 432.76 with 0 exemptions to give the closest exemption.
How to estimate the salary without exemption
In this question, we should estimate the salary earned before one exemption and find the equivalent brute salary with no exemptions. The expected salary is equal to product the brute salary minus the product of the tax rate and brute salary.
According to the table we have the expected salary after one exemption:
[tex]x = 418\cdot \left(1-\frac{19.66}{100} \right)[/tex]
[tex]x = 335.82[/tex]
After a quick inspection to the salary column for zero exemptions, we find that percentage associated to a salary with no exemptions: ([tex]r = 22.40\,\%[/tex])
[tex]C = \frac{335.82}{1-\frac{22.40}{100} }[/tex]
[tex]C = 432.76[/tex]
James should earn a weekly salary of $ 432.76 with 0 exemptions to give the closest exemption. [tex]\blacksquare[/tex]
RemarkThe exemption table is missing. The complete figure is shown below.
To learn more on salaries, we kindly invite to check this verified question: https://brainly.com/question/3315407
3. I am a cube that has a length,
width, and height of 1 unit.
A cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.
What is a Cube?A cube is a three-dimensional shape that has equal length, width, and height.
We are given that the height of a cube is 1 unit. Since the length, width, and height of a cube are always equal, therefore:
Length of the cube =1 unit
Width of the cube = 1 unit.
In summary, a cube that has a height of 1 unit, will also have length and width that are both 1 unit in length.
Learn more about cube on:
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Hello! Does anyone know how to do this I already tried some but I got them wrong. Giving brainliest!!
Answer:
The only right angles are between the lines (O,F) and (Q,D)
Step-by-step explanation:
by examination. The tangental line goes through the same point the diameter line goes through so to be tangental it has to be 90 degrees on each side.
can somebody help me
Answer:
Area = 202 in^2
Step-by-step explanation:
Divide those into pieces to solve for each area and then add the area together.
Left Rectangle:
13 in * 4 in = 52 in^2
Right Rectangle:
15 in * 10 in = 150 in^2
Total Area = 117 in^2 + 150 in^2 = 202 in^2
PLS HELP ME WITH THIS IM GONNA CRY ITS SO HARD....
Arsenic‐74 is used to locate brain tumors. It has a half‐life of 17.5 days. 90 mg were used in a procedure. Write an equation that can be used to determine how much of the isotope is left after x number of half-lives.
Let that be x
Use the general formula used for calculating half-life
[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]
H is half-life,t is timetime given xput values
The equation is
[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]
there are 90 girls in third year, 25 of whom Study biology what percentage of third year girls study biology
Answer:
27.7% of third year girls study biology
5 < -5(3x-7) Solve the inequality.
Answer:
x<2
Step-by-step explanation:
5<-5(3x-7)
divide by 5
1<-3x+7
3x<7-1
3x<6
x<2
In the figure below all lines intersect at point W what is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
the side lengths of a triangle are 10,26 and 24 which one is the hypotenuse
a.24
b.26
c.10
d.50
The hypotenuse is the longer of the 3 sides:
answer: b.26
Answer:
[tex]\huge\boxed{\bf\: b. \: 26 \rightarrow hypotenuse }[/tex]
Step-by-step explanation:
Consider a right angled triangle with sides as 10, 26 & 24 units.
Here, we need to find the hypotenuse of the triangle.
The hyptenuse is the side which is opposite to the right angle (90°) & is also the longest side of the triangle.
Then, among the given values, we can clearly say that 26 > 10, 24.
Therefore, [tex]\boxed{\bf\: 26 \: units }[/tex] is the hypotenuse of the triangle with side lengths as 10, 26, 24 units.
[tex]\rule{150pt}{2pt}[/tex]
9. A bacteria population, , can be represented by the equation p= 100,000 times(1/4)^d,
where d is the number of days since it was measured.
a. What was the population 3 days before it was measured? Explain how you
know.
b. What is the last day when the population was more than 1,000,000? Explain how
you know.
#1
3days back means 3Put it
[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]
[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]
[tex]\\ \rm\Rrightarrow p=1562.5[/tex]
Now
#2
Let's see
[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]
[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]
[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]
[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]
[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]
[tex]\\ \rm\Rrightarrow d=-1.654[/tex]
Factor c^2 −64. Is this a special product?
PLS HELP
GIVEAWAY!!!
50PTS + BRAINLIEST
4(2x)−8x+4
Answer:
4(2x) - 8x + 4
4 × 2x = 8x
8x - 8x + 4
= 4
Done!
What's the formula for an arc of a circle?
Can someone help me????
Answer:
x= 3(y+8)/
8
y= 8(x-3)/
3
Is –12,365 − –110 positive or negative?
Answer:
Negative
Step-by-step explanation:
This is the same as saying -12,365 + 110
This equals -12,265
Hope that helps!
Answer:
Same sign - Positive
Different sign - Negative
only for some maths
what is the measure of an angle that turns through 1/5 of a circe
If andre collects $9.80, how many cups did he sell?
Answer:
we need more information
A total of 640 people voted in an election. The circle graph shows the results.
A.) How many people voted for Gordon? Show your work
B.) How many people voted for Smith or Fishman? Show your work
Show that the sum of the first 2n natural numbers is n(2n+1)
Not really sure if there’s a typo in my book or not
Answer:
This sum is the sum of an arithmetic sequence. There is a formula for the sum of an arithmetic sequence which can be looked up or derived by a variety of means.
A nice approach for this sequence is the following. Notice that the sum of first and last number in the sequence is the same as the sum of the second and second last, and also the same as the sum of the third and third last, and so on.
There are n of these pairs. So the desired sum is n x (first number + last number). But the first number is 1 and the last on is 2n. Thus the desired sum is n(1 + 2n).
Hope this helps!!
Mark Brainleast!!!!!!!!!!!
Consider the set {1, 2, 3, 4, ..., m} where m is some natural number, i.e. a positive whole number.
Now let's say we wanted to add everything in that set.
What we can do is write out the terms
1, 2, 3, 4, ..., m
then just underneath, we write the reverse of that set
m, ..., 4, 3, 2, 1
Here's an example of what I mean. I'll use m = 7
[tex]\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}1 & 2 & 3 & 4 & 5 & 6 & 7\\\cline{1-7}7 & 6 & 5 & 4 & 3 & 2 & 1\\\cline{1-7}\end{array}[/tex]
For each column, add straight down
The third row will be nothing but 8's
[tex]\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}1 & 2 & 3 & 4 & 5 & 6 & 7\\\cline{1-7}7 & 6 & 5 & 4 & 3 & 2 & 1\\\cline{1-7}8 & 8 & 8 & 8 & 8 & 8 & 8\\\cline{1-7}\end{array}[/tex]
We can see there are seven copies of '8' being added here, so the sum of all the numbers in the set {1,2,3,4,5,6,7} is 8*7 = 56. But wait, we double-counted each item when we formed the second row. So we must divide by 2 to fix the double-counting error.
Therefore, 1+2+3+4+5+6+7 = 56/2 = 28 instead.
-----------------------------
That previous example showed that adding from 1 to 7 means we have 7 copies of (1+7). In other words, 7 copies of 8 being added.
We could write that as 7(1+7)
Then divide that by 2 to fix the double-counting error.
We have 7(1+7)/2
Now imagine that we applied all of what was mentioned to the set {1,2,3,4,5,6,7,8}. Instead of 7's, we use 8's this time to get 8(1+8)/2
Then we can extend it out to the set {1,2,3,4,..., m} and we get the formula m(1+m)/2
We have m copies of (1+m) being added; hence the m(1+m). Don't forget to divide by 2 to fix the double-counting error.
-----------------------------
The key takeaway here is that summing 1+2+3+4+...+m gets us m(1+m)/2
In this case, m = 2n because we want the first 2n natural numbers.
Therefore,
m(1+m)/2
2n(1+2n)/2
n(1+2n)
n(2n+1)
represents the sum 1+2+3+...+n+...+2n
-----------------------------
Try out a value like n = 5 to find that 2n = 2*5 = 10, and,
1+2+3+4+5+6+7+8+9+10 = 55
also
n(2n+1) = 5(2*5+1) = 5*(11) = 55
Showing that the formula works for n = 5. I'll let you try other values of n.
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
y = 3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.
-14 = 3(-4) + b
To find b, multiply the slope and the input of x (-4)
-14 = -12 + b
Now, add 12 to both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 3x - 2
This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)
Hope this helps!
Learn with another example:
https://brainly.com/question/27121082
(7.8 x 10^3) (1.0 x 10^4) =?
Answer:
78000000
Step-by-step explanation:
(7.8 x 10^3) (1.0 x 10^4) =?
Complete the table for each circle. Use paper to help you with your thinking
Help please
Answer:
written out in the explanation.
Step-by-step explanation:
Area of a circle = [tex]\pi r^{2}[/tex]
Circumference of a circle = [tex]2\pi r[/tex]
The radius is the center point of a circle to the edge of a circle. The diameter is a line from one edge of a circle to the opposite edge.
So, the radius is simply half of the diameter.
For circle A, the radius is 12. Therefore, the diameter is 24.
The circumference is 2·[tex]\pi[/tex]·12 ≈ 75.39822 inches. rounded, the circumference is 75.4 inches.
The area is [tex]\pi 12^{2}[/tex] ≈ 452.38934. rounded, the area is 452.39.
For B,
you have already solved the diameter and radius correctly, good job :). The steps for finding the circumference are the same as for circle A.
the circumference is 2·[tex]\pi[/tex]·6 ≈ 37.69911. rounded, the circumference is 37.7 inches.
the area is [tex]\pi 6^{2}[/tex] ≈ 113.09734. rounded, the area is 113.1.
For C,
the circumference is 12. We can use the circumference equation to solve for the radius.
12 = [tex]2\pi r^{2}[/tex]
divide both by 2[tex]\pi[/tex]
7.63943726841 = [tex]r^{2}[/tex]
square root of 7.63943726841 = 2.76395319577
radius = 2.76395 inches. rounded, the radius is 2.8 inches.
so, radius ·2 = 5.52790639154.
meaning diameter = 5.52791. rounded, the diameter is 5.5 inches.
the area is [tex]\pi 2.76395^{2}[/tex] ≈23.99994. rounded, the area is 24.
Please help ASAP (30 POINTS)
NO LINKS OR BOTS IF I SEE YOU WILL GET REPORTED!
Only answer if you know for sure!
What is the overlap of Data Set 1 and Data Set 2?
a) high
b) moderate
c) low
d) none
Answer:
Low
Step-by-step explanation:
Low because it only overlaps twice.
Is the following parallelogram actually a rectangle?
True
False
Answer:
False
Step-by-step explanation:
Check if there is a right angle using the Pythagorean Theorem:
7.2^2 + 9.1^2 ≟ 12^2
134.65 ≠ 144,
so since there isn't a right angle, this is not a rectangle.
work out m and c for the line
2y+6x=-4
i will mark a brainlist if you get it right
Answer:
y = -2 -3x
x = -2/3 -y/3
y =-3x -2
Slope=-6.000/2.000=-3.000
2*y+6*x-(-4)=0
2y + 6x + 4 = 2 • (y + 3x + 2)
Step-by-step explanation:
The bold letters are the important and answer :)
hoped this helped
if the answer is wrong tell me pls
Make a number line and mark the points that represent the following
values of x
2x <6
I have 39 test to do and it takes me approximately 5 minutes to do one. How long will it take me to do all of them?
Answer:
3 hrs and 15 minutes :)
Step-by-step explanation:
We can solve this by multiplying :)
39 x 5 = 195 minutes
195/60 = 3 hrs and 15 minutes :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer: 195 minutes or 3 hours and 15 mintues
Step-by-step explanation:
We will multiply the number of tests by the amount of time it takes to do each test.
39 total tests * 5 minutes = 195 minutes
195 minutes or 3 hours and 15 mintues
please help I need to finish this-
Step-by-step explanation:
Check out the attached photo.
HELPPP please help i don’t get it
this is what would make sence for me
the frist one was confusing