Step-by-step explanation:
t = 20n + 15
t = 80
80 = 20n + 15
65 = 20n
n = 65/20 = 13/4 = 3.25 hours
I’m really confused please help me
========================================================
Explanation:
Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.
Each of the triangles are isosceles. Let x be the measure of the base angles.
Use the rule that adding the three angles of a triangle gets us 180
angle1+angle2+angle3 = 180
x+x+72 = 180
2x+72 = 180
2x = 180-72
2x = 108
x = 108/2
x = 54 is the answer
----------------------
Another way to get the answer:
i = interior angle of a regular polygon with n sides
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
Each interior angle of a regular pentagon is 108 degrees.
Angle x marked in blue is half that, so it is 108/2 = 54 degrees
----------------------
A third method:
E = exterior angle of a regular polygon with n sides
E = 360/n
E = 360/5
E = 72 degrees is the measure of each exterior angle
i = 180 - E
i = 180-72
i = 108 is the measure of each interior angle.
To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.
A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?
The solids have the same volume.
What is Volume?Volume is the measure of the capacity that an object holds.
Volume of triangular prism be
= Base area * height
= 12*10
=120 cm³
Volume of rectangular prism be,
=10*3*4
=120 cm³
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please help!
Thank you.
Answer:
Option A ----> -5
Step-by-step explanation:
Slope of a graph is given by the equation :
[tex]\frac{dy}{dx}[/tex] where d means change in .
Lets take the y-intercept (0,2) and (-1,7)
Change in y = 5
Change in x = -1
5/-1 = -5
Our answer will therefore Option A ---> -5
Hope this helped and brainliest please
PLEASEE
Solve
x=6
4x +y =20
Answer: y = -4
Step-by-step explanation:
4 (6) + y = 20
24 + y = 20
-24 -24
y = -4
Answer:
x = 6
y = -4
Step-by-step explanation:
Comment
You have 2 equations
x = 6
4x + y = 20
You already know what x is from the first equation.
All you need do is put 6 in for x in the second equation.
Solution
x = 6
4*6 + y = 20 Combine what you can on the left
24 + y = 20 Subtract 24 from both sides
24-24+ y = 20-24 Combine
y = - 4
Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?
please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.
⦁ Create a residual plot for your data.
⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
How to determine the residuals?The regression equation is given as:
y = 0.005x + 3.111
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.005 * 4 + 3.111 = 3.131
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 5 + 3.111 = 3.136
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 8 + 3.111 = 3.151
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 10 + 3.111 = 3.161
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 6 + 3.111 = 3.141
y = 0.005 * 6 + 3.111 = 3.141
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
y = 3.46 - 3.131 = 0.329
y = 2.78 - 3.126 = -0.346
y = 3.2 - 3.136 = 0.064
y = 2.8 - 3.126 = -0.326
y = 3.2 - 3.151 = 0.049
y = 2.9 - 3.186 = -0.286
y = 3 - 3.161 = --0.161
y = 3.4 - 3.186 = 0.214
y = 3.57 - 3.141 = 0.429
y = 3.2 - 3.141 = 0.059
Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
See attachment for the residual plot.
The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line
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Which of the following has the correct factored form AND the correct solutions for the quadratic equation? X^2-2x-3=0
The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
How to factor quadratic equation?The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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Which number is equivalent to 16 1/2
Answer:
8
Step-by-step explanation:
PLEASE HELP 50 POINTS
The total leaf mass of a certain species of young plant saplings is approximately normally distributed with a mean of 14.2 grams and a standard deviation of 0.5 grams.
a. What is the probability of obtaining a randomly chosen plant sapling with a total leaf mass of more
than 15 grams?
b. Identify the leaf mass that would represent the 99th percentile.
Answer:
THE ANSWER IS A
Step-by-step explanation:
CORRECT IF I WRONG
What is the midpoint between (8,-5) and (2,-2)?
O (3,-1.5)
O (10,-7)
O (5, -1.5)
O (5,-3.5)
Answer:
O (5,-3.5)
Step-by-step explanation:
I'd appreciate the help!
Answer:
Step-by-step explanation:
help me to give answer....
area of rectangle 5 7/8km x 18/4km
Answer:
if ur in college then how do u not know this
Step-by-step explanation:
use ur brain
find the measure of the angle
what does 7,124 ÷ 26 equal to?
274
hope that helps
:D
btw i used long division
Can someone help me with this math problem?
see attached photo
By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.
How to determine the value of trigonometric reasons
In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.
If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:
sec θ = r/x
[tex]\frac{r}{x}= -\frac{6\sqrt{11}}{11}[/tex]
Then x = - 11, r = 6√11 and the value of y is:
[tex]y = \sqrt{r^{2}-x^{2}}[/tex]
y = 5√11
By trigonometric expressions we have this formula for sin 2θ:
sin 2θ = 2 · sin θ · cos θ
sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²
sin 2θ = [2 · (- 11) · (5√11)]/396
sin 2θ = - (5/18) · √11
By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.
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Calculate 6 2/3 x 5
Fractions btw
Answer:
33 1/3
Step-by-step explanation:
divide 2/3 which is 0.66... then multiply that by 5 which is 3.33...
then multiply 6 times 5 which is 30, then add 30 and 3.33... which is 33.33...
in fraction form that is 33 1/3
*
Between 10 A.M. and 11 A.M., 48 people came into Brad's store.40 of them
made a purchase. What is the number of favorable outcomes of people
who made a purchase?
Answer: The answer is 40 there are 40 favorable outcomes of people who made a purchase.
Step-by-step explanation:
sin0= 5/13. find tan 0
Answer:
C. 5/12
Step-by-step explanation:
Finding the missing side :
Opposite side² + Adjacent side² = Hypotenuse²(5)² + Adjacent side² = (13)²Adjacent side² = 169 - 25Adjacent side² = 144Adjacent side = √144Adjacent side = 12Taking the tan ratio :
tanθ = opposite side / adjacent sidetanθ = 5/12Cordell Johnson purchased a snow blower for $237.00 and two bags of rock salt for
$3.15 each. What is the total purchase price if he lives in Maine where the sales tax
rate is 5%?
a. Total cost of all items?
b. Sales tax?
c. Total price with sales tax?
Answer:
a.240.15
Step-by-step explanation:
a.240.15
b.12.0075
c.252.1575
Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 4, 0) and (0, negative 2).
a.
y = negative one-half x minus 2
c.
y = 4 x minus 2
b.
y = negative 2 x minus 4
d.
y = negative 4 x minus 2
Please select the best answer from the choices provided
A
B
C
D
Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
__
slopeThe x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
__
equationThe slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
_____
Additional comment
When answering multiple-choice questions, you only need to do enough work to tell which answers are not viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
Pls helppp meee!!!!!
Plsss show your work
Answer:
Step-by-step explanation:
3x - 10 = 2x + 30
x - 10 = 30
x = 40
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The two lines shown in the figure intersects each other ~
Therefore,
3x - 10 = 2x + 30[ by vertical opposite angle property ]
Now let's solve for x :
[tex]\qquad \sf \dashrightarrow \:3x - 10 = 2x + 30[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x - 2x = 30 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 40[/tex]
Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
The equivalent expression of [tex]\log_c(\frac{x^2 - 1}{5x})[/tex] is [tex]\log_c(x^2 - 1) - \log_c(5x)[/tex]
How to determine the equivalent expression?The logarithmic expression is given as:
[tex]\log_c(\frac{x^2 - 1}{5x})[/tex]
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
[tex]\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)[/tex]
Hence, the equivalent expression of [tex]\log_c(\frac{x^2 - 1}{5x})[/tex] is [tex]\log_c(x^2 - 1) - \log_c(5x)[/tex]
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Please help I cannot find this question
C= 5/9(F-32)
urgent!!! will give 50 points
Answer:
25°
Step-by-step explanation:
hope it helps you solve the question
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answer:
16 new releases and 22 classic movies.
Find the absolute mean deviation of this data set:
8, 8, 4, 12
Answer:
2 is the absolute mean deviation
Step-by-step explanation:
absolute mean deviation is
the average of the differences of the data from the average
8, 8, 4, 12
1. take the average
8+8+4+12=32 -> 32/4 = 8
2. subtract each number from this average
8 - 8 = 0
8 - 8 = 0
4 - 8 = 4 (there are no negative answers)
12 - 8 = 4
3. take the average of these subtractions
0+0+4+4=8 -> 8/4 = 2
4. answer: 2 is the absolute mean deviation
Find the surface area of the prism.
mi
8 mi
8/12 mi
The surface area is
square miles.
112
Answer: 433.5 square miles or 433 1/2 square miles
Step-by-step explanation
[tex]SA = 6x^{2}[/tex]
[tex]SA = 6 *(8.5)^{2} \\\\SA = 6*72.25\\\\SA = 433.5[/tex]
What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?
The return on equity for the firm is 18.75%.
Return on equityReturn on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]
Let plug in the formula
Return on equity=.15+ [(.75)× (.15-.10)]
Return on assets=.15+ (.75×0.05)
Return on assets=.15+0.0375
Return on equity=0.1875×100
Return on equity=18.75%
Therefore the return on equity ratio is 18.75%.
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Which of the following is an arithmetic sequence with common difference –5?
The arithmetic sequence that has a common difference of -5 from the options given is: A. 8, 3, -2, -7...
What is the Common Difference of an Arithmetic Sequence?The common difference of an arithmetic sequence is determined as: a term - previous term.
For the sequence, 8, 3, -2, -7,.. the common difference is:
-7 - 2 = -2 - 3 = 3 - 8 = -5.
Therefore, the arithmetic sequence with a common difference of -5 is: A. 8, 3, -2, -7...
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