Step 1: 360÷30(exterior angle)= 12 sides
Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)
Test: 1800÷ 12 sides= 150 ( 1 interior angle)
Which rule explains why these triangles are congruent?
Find the volume of the prism.
With composte solids, all you have to do is find the volume of each and then add them together
Answer:
1760 cm³
Step-by-step explanation:
Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560
Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200
1200 + 560 = 1760 cm³
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if f(x) =g(x) + 10 and g(x) = 3(x) - 18
Step-by-step explanation:
This is called a nested function. Remember, math is a language.
We define a function where x is whatever we want it to be, f(x) = g(x) +10
but we have yet another function inside and itvs defined as g(x) = 3x - 18
if we were to write it out, it woukd be
f(x) = (3x - 18) + 10
Find the size of angle x.
Answer:
x = 111
Step-by-step explanation:
180- 82 -29 is 69 and 180-69 is x which x is equal to 111
Answer:
111°
Step-by-step explanation:
By exterior angle theorem:
[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]
Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. a. Which photographer charges the greater hourly rate? By how much? b. Which photographer charges the greater one-time fee? By how much?
Answer:
a. Photographer A by $10
b. Photographer B by $25
Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sample data below show the number of companies providing health insurance for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than employees. Medium-sized companies have to employees, and large companies have or more employees. The questionnaire sent to employees asked whether or not the employee had health insurance and then asked the enployee to indicate the size of the company. Health Insurance Size of Company Yes No Total Small 33 17 50 Medium 68 7 75 Large 88 12 100 a. Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. What is the -value? Compute the value of the test statistic (to 2 decimals). The -value is - Select your answer - Using level of significance, what is your conclusion? - Select your answer - b. A newspaper article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number). Small Medium Large Based on the percentages calculated above, what can you conclude? - Select your answer -
Answer:
There is not enough statistical evidence to suggest that the health insurance coverage is independent of the size of the company
Step-by-step explanation:
The given data presented in tabular form is presented as follows;
[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34&16&50\\Medium&61&14&75\\Large&85&15&100\end{array}[/tex]
The null hypothesis, H₀; The two data are independent
The alternative hypothesis Hₐ; The variables are dependent
[tex]Expected \ value = \dfrac{(Row \ total) \times (Column \ total) }{Table \ total}[/tex]
The expected value are the values in parenthesis in the following table;
[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34(40)&16(10)&50\\Medium&61(60)&14(15)&75\\Large&85(80)&15(20)&100\\Total&180&45&225\end{array}[/tex]
[tex]\chi ^2 = \sum{\dfrac{ \left(O_i - E_i \right)^2}{E_i}[/tex]
Therefore
χ² = (34 - 40)²/40 + (16 - 10)²/10 + (61 - 60)²/60 + (14 - 15)²/15 + (85 - 80)²/80 + (15 - 20)²/20 ≈ 6.1458
The degrees of freedom = (2 - 1)·(3 - 1) = 2
The p-value from the Chi-square table is 0.05 < p-value < 0.01
Given that the p-value is larger than the significant value, we have that data is not statistically significant and we fail to reject the null hypothesis.
Therefore, the health insurance coverage is independent of the size of the company
1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal
9514 1404 393
Answer:
$27,026.90
Step-by-step explanation:
The future value formula can be solved to find the present value required.
FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years
$100,000 = P(1 +0.08)^17
P = $100,000/3.70002 . . . . divide by the coefficient of P
P = $27,026.90
You would need to deposit #27,026.90 now to reach this goal.
1
5. Monica put $600 in a savings account that pays an interest rate of 3.5%.
She collected $120 in interest
Answer:
pls complete your question. what exactly are we supposed to calculate?
For the point P(2,-14) and Q(9,-9) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ
Answer:
Step-by-step explanation:
Distance : [tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}[/tex]
Midpoint :
x (m) = (2+9)/2 = 11/2
y (m) = (-14-9)/2 = -23/2
M (11/2, -23/2)
7 = -10s - 3 for iready
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
What is h(−8) for h(x)=1/4x^2+7x?
Answer:
h(-8) = -40
Step-by-step explanation:
Find h(-8) by plugging in -8 as x:
h(x) = 1/4x² + 7x
h(-8) = 1/4(-8)² + 7(-8)
Simplify:
h(-8) = 1/4(64) - 56
h(-8) = 16 - 56
h(-8) = -40
So, the answer is h(-8) = -40
The value of h(-8) is -40.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given:
h(x)=1/4x²+7x
h(-8)= 1/4* 64+7*(-8)
= 16-56
= -40
Hence, h(-8)=-40.
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A kitchen floor can somebody plzzzz helpppp
Answer: 876
Step-by-step explanation:so all you need to do is go into
please show your work
Surface area of 5 sides of square = 5a²= 5×8.2×8.2=336.2 Cm²
Surface area of pyramid= a²+2a √a²/4+h²= 8.2²+2×8.2√67.24/4+ 4.41= 142.79
Surface area of composite shape = 336.2+142.79-67.24= 411.75~ 411.8 Cm² !
A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
Can y’all help me on question 3?!
9514 1404 393
Answer:
60 gallons
Step-by-step explanation:
The area of the trapezoid-shaped wall is given by ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.
The area of the wall is ...
A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²
If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.
Isha needs 60 gallons of paint.
Answer:
Isha needs 60 gallons of paints to the wall.
Step-by-step explanation:
The area of trapezoid shaped like wall is given by :-
Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H
Where,
B ¹ and B ² are the length of bases and H is the perpendicular distance between them.
Area of wall = 1/2 × ( Base¹ + Base²) × Height
Where, according to question we have
Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ftsubstitute the values
Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft
add the values of Base¹ and Base ²
Area = 1/2 × 20 ft × 6 ft
multiply
Area = 1 / 2 × 120 ft ²
divide
Area = 120 ft ² / 2 = 60 ft ²
It takes 1 gallon to cover 1 ft ². ... ( given)
So, For covering 60 ft ² it takes 60 gallons .
check
( 1 × 60 ) gallon = 60 ft ²
60 gallon = 60 ft²
100 students attended a revision lesson at the weekend.
Each student went to Maths or English or Science.
55 of these students attended on Saturday.
Over the weekend a total of 40 students went to Maths.
12 of the 27 students that went to Science went on Sunday.
10 students went to English on Saturday.
How many students went to the Maths revision lesson on Saturday?
Answer:
I am pretty sure its 30 students
kathy runs a 26.2-mi;e marathon at an average pace of 6.2 minutes per mile how long will it take her to finish the marathon round your answer to the nearest minute
Answer:
162 minutes
Step-by-step explanation:
Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162
Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct? She met her goal, because she made less than $75 on coffee today. She met her goal, because she made more than $75 on coffee today. She missed her goal, because she made less than $75 on coffee today. She missed her goal, because she made more than $75 on coffee today.What is the value of the expression below?
(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5
Answer:
She missed her goal, because she made less than $75 on coffee today.
10
Step-by-step explanation:
Target profit = $75
Profit per cup = $0.80
Number of cups sold = 90
Profit made today = Profit per cup * Number of cups sold
= $0.80 * 90
= $72
She missed her goal, because she made less than $75 on coffee today.
2. (9.5 minus 3 times 1 and one-half) divided by 0.5
(9.5 - 3 * 1 1/2) ÷ 0.5
= 9.5 - 3 * 3/2 ÷ 0.5
= 9.5 - 9/2 ÷ 0.5
= (9.5 - 4.5) ÷ 0.5
= 5 ÷ 0.5
= 10
Rosa and Micah are playing a game . Which table is the closest to showing Rosa winning approximately plays ? 3/5 of the times she
Answer:
A is the closest
explain whether 8t - 3y - 4t is equivalent to 7t +(-3t) - 3y.
Answer:
4t - 3y
Step-by-step explanation:
8t - 3y - 4t
8t - 4t - 3y
4t - 3y
7t +(-3t) - 3y
7t - 3t - 3y
4t - 3y
Answer:
These expressions are equivalent, as both of them simplify down to (4t - 3y).
Step-by-step explanation:
In order to determine if (8t - 3y - 4t) is equivalent to (7t + (-3t) - 3y) one must simplify each equation. Combine like terms by performing the operations between the coefficients of the variables.
8t - 3y - 4t
= 4t - 3y
7t + (-3t) - 3y
= 7t - 3t - 3y
= 4t - 3y
What is the height of a rectangular prism, if the volume is 750 cm, the length 25 cm, and the width is 5 cm?
Answer:
6 cm
Step-by-step explanation:
Volume of a prism= Length X Width x height
750 = 25 x 5 x h
750= 125h
750/125 = 125h/125
h= 6
Answered by Gauthmath
Finding the volume of the solid.Use unit cubes to help.
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
work out the angle x please help.
Answer:
x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x
180°-167°=13°
For the given triangle the measure of the angle x is = 3 degrees.
Labeling the given figure,
since angle C and angle B are alternate angles
Therefore,
For the triangle ABE
The interior angle for A = x
The interior angle for B = 180 -98
= 92 degree
Since we know that,
The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.
Therefore,
⇒ x + 92 = 180 - 85
⇒ x = 3 degrees.
Hence,
The measure of the angle x is = 3 degrees.
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Find the first principle, the derivatives of: (any one)
[tex]1 \sqrt{x} [/tex]
A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²
Which of the following will most likely produce sample proportions that are
normally distributed?
A. Many samples of 34 coin flips
B. Many samples of 14 coin flips
C. Many samples of 19 coin flips
D. Many samples of 9 coin flips
A student solves for v
Which statement explains how to correct the error that was made?
The subtraction property of equality should have been applied to move m to the other side of the equation.
O The multiplication property of equality should have been applied before the division property of equality.
The division property of equality should have been applied to move the fraction to the other side of the equation.
The square root property should have been applied to both complete sides of the equation instead of to select variables.
Answer:
D (The square root property should have been applied to both complete sides of the equation instead of to select variables)
Step-by-step explanation:
On edge 2021
This type of member variable may be accessed before any objects of the class have been created.
a. private
b. public
c. inline
d. static
e. None of these
Answer:
d. static
Step-by-step explanation:
This is a question about Java programming.
A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.
Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
60 feet
Step-by-step explanation:
Jun 07, 9:22:26 AM
+
Write a sine function that has an
amplitude of 2, a midline of 3 and a period of 3/2.
Answer:
[tex]\displaystyle y = 2sin\:1\frac{1}{3}\pi{x} + 3[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{3}{8}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:1\frac{1}{3}\pi{x} + 3,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{3}{8}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{3}{8}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{3}{8}} = \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.
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