Answer:
B. (1/2)(2h-8)(h)
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Let
Height = h
Base = 8 inches less than 2 times wider than the hight
= 2h-8
Substituting the values of base and height into the formula
We have,
Area of a triangle = 1/2 × base × height
= 1/2 × (2h-8) × h
= (1/2)(2h-8)(h)
The correct answer is option
B. (1/2)(2h-8)(h)
The Sides of regular octagon T are three time the length of the sides of regular octagon G
Answer:
According to the statement, the equation is :
Sides of regular octagon T= 3 × the length of sides of regular octagon G
The required equation is x = 3y
Where x is the length of the sides of the octagon T and y is the length of the side of the octagon G.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 5 - 9 is an equation.
We have,
Sides of regular octagon T = x
Sides of regular octagon G = y
Now,
The equation of the sides of regular octagon T is three times the length of the sides of regular octagon G can be written as:
x = 3y
Thus,
The equation is x = 3y.
Learn more about equations here:
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Joey participated in a standardized reading test. He scored in the middle of the third stanine in a normal distribution. All of the following are incorrect except:_________. a. His score was the median for the group that participated in the test.b. His t-score is 40.c. His score fell at +2 standard deviationd. His score fell at a z-score of -3.
Answer:
b. His t-score is 40.
Step-by-step explanation:
The middle of the third stanine in a normal distribution means that the standard of nine that is applied has the middle of the third count.
It means that if we divide the normal distribution with the standard of nine we will find the score to be the middle of the third division.
So it will be (1/3*9=3) more than 3.
Which in normal distribution will be more than 30.
The t distribution is approximately normal when the number of degrees of freedom is greater than 30 .
So the best answer is that His t-score is 40 ( choice b).
my liTTLE COUSIN needs help cAN someone answer this for her? thx bebe!!! : Kyle has run 7 laps around the track. If he plans to run 15 laps, how many more laps must he run?
Answer:
8
Step-by-step explanation:
15-7= 8
Answer:
8 laps
Step-by-step explanation:
We know that Kyle has already run 7 laps, and that he wants to run 15 laps. To find the answer, we need to think, "How much more is 15 than 7?" To find the answer, we simply can do 15 - 7 = 8 laps.
please help with the question asked
Answer:
C, None of the above
Step-by-step explanation:
Step 1: Expand the brackets
-7 - 3(-4e-3)
-7 + 12e + 9
Step 2: Collect like terms
12e + 2
Because the answer is not a or b the answer is 'None of the Above'
Hey there! I'm happy to help!
Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.
-7+3(-4e-3)
-7-12e-9
We combine like terms.
-16-12e
This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.
-4(3e+4)
We use distributive property.
-12e-16
We see that these have the same value, so the correct answer is A.
Have a wonderful day! :D
if 3x+5/x-=16, what is x?
Answer:
x=5, x= 1/3
Step-by-step explanation:
Answer :
[tex]x = \frac{1}{3} \\ x = 5[/tex]
The difference between a number squared, and that same number is 30. What is the number
Answer:
n^2 = n + 30
n^2 -n -30 = 0
Solving by quadratic formula
numbers equal 6 AND -5
DOUBLE -CHECK
6^2 -6 -30 = 0
36 -6 - 30 = 0 CORRECT
-5^2 - -5 -30 = 0
25 +5 -30 = 0 CORRECT
Two numbers 6 and -5
Step-by-step explanation:
What is the sum to 'n' terms of the series √5,√20,√45,√80,.....?
Answer:
Sₙ = √5/2 n (n + 1)
Step-by-step explanation:
Given AP:
√5,√20,√45,√80,...Rewriting as:
√5,√4*5,√9*5,√16*5,...√5, 2√5, 3√5, 4√5,..., n√5Common difference:
d= 2√5 - √5 = √5Sum of n terms:
Sₙ = 1/2n (a₁ + aₙ) =1/2n (√5 + √5 + (n-1)√5) =1/2n (n + 1)√5=√5/2 n (n + 1)Sₙ = √5/2 n (n + 1)
в коком году родился пушкин
Answer:
May 26, 1799
Step-by-step explanation:
if x -1 = 2y/3,then y=
Answer:
The answer is
[tex]y = \frac{3x - 3}{2} [/tex]Step-by-step explanation:
[tex]x - 1 = \frac{2y}{3} [/tex]To solve for y cross multiply
That's
3( x - 1) = 2y
2y = 3x - 3
Divide both sides by 2 to make y stand alone
That's
[tex] \frac{2y}{2} = \frac{3x - 3}{2} [/tex]We have the final answer as
[tex]y = \frac{3x - 3}{2} [/tex]Hope this helps you
Answer:
[tex]\Large \boxed{{y = \frac{3}{2}(x-1)}}[/tex]
Step-by-step explanation:
We have to solve for the y variable.
The variable must be isolated on one side of the equation.
x - 1 = [tex]\frac{2y}{3}[/tex]
Multiply both sides of the equation by 3.
3(x - 1) = 2y
Divide both sides of the equation by 2.
[tex]\frac{3}{2}[/tex] (x - 1) = y
if band practice is 4:00p.m how many min do i have to untill band practice if its 3:40
Answer:
20 minutes
4:00 - 3:40 = 20 minutes
Answer:
20 minutes
Step-by-step explanation:
please do the steps solve the equation for d: 1/6d-8=5/8 2. Solve the equation for x: 3x-4+5x=10-2z 3. Solve the equation for c: 7(c-3)=14 4. Solve the equation for m: 11(m/22+3/44)=87m+m 5. Solve the equation for k: ck+5k=a
Step-by-step explanation:
1. 1/6d - 8 = 5/8
1/6d -8 + 8 = 5/8 + 8
1/6d = 69/8
1/6d / 1/6 = 69/8 / 1/6
d = 51.75 or [tex]51\frac{3}{4}[/tex]
2. 3x - 4 + 5x = 10 - 2z
8x - 4 = 10 - 2z
8x - 4 + 4 = 10 - 2z + 4
8x = 14 - 2z
8x / 8 = (14 - 2z) / 8
x = [tex]\frac{14 - 2z}{8}[/tex]
3. 7(c - 3) = 14
7(c - 3) / 7 = 14 / 7
c - 3 = 2
c - 3 + 3 = 2 + 3
c = 5
4. 11(m / 22 + 3 / 44) = 87
m / 22 + 3 / 44 = 87 / 11
m / 22 + 3 / 44 = 348 / 44
m / 22 = 345 / 44
m = 172.5
5. ck + 5k = a
k(c + 5) = a
k = [tex]\frac{a}{c+5}[/tex]
23h Sam will be going shopping on Dec 26. He currently has $150. He wants to buy pants for $90 and
t-shirts for $12.50 each. He expects to get at most $150 for Christmas. How many t-shirts can he expect to
purchase?
Answer:
4 t shirts.
Step-by-step explanation:
Given that money available with Sam = $150
Price for pants = $90
Price of each t shirt = $12.50
To find:
How many t shirts can he expect to purchase?
Solution:
Price for 2 pants = $180 which is more than $150.
Therefore, he can not buy more than 1 pants.
The remaining amount after buying pants = $150 - $90 = $60
This amount will be used for buying t-shirts.
Number of t-shirts that can be bought:
[tex]\dfrac{60}{12.5} \approx 4.8[/tex]
But answer in decimal points for number of t shirts is not possible and he does not have more money.
It means, he can buy at most 4 t-shirts.
In the triangle below y=? Round to the nearest tenth
Answer:
y = 51.3°Step-by-step explanation:
To find y we use tan
tan∅ = opposite/ adjacent
From the question
8 is the adjacent
10 is the opposite
Substitute the values into the above formula
That's
[tex] \tan(y) = \frac{10}{8} [/tex]
[tex]y = \tan^{ - 1} ( \frac{10}{8} ) [/tex]
y = 51.34019
We have the final answer as
y = 51.3 to the nearest tenthHope this helps you
Find each measurement. (The figure is not drawn to scale.)
Answer:
a. m∠Z = 62
b. [tex]m\widehat{WZ}[/tex] = 118
c. m∠W = 62
d. [tex]m\widehat{WX}[/tex] = 122°
Step-by-step explanation:
a. The given parameters are;
m∠X = 118
[tex]\overline {WZ} \cong \overline {YZ}[/tex]
m∠Y = 120
m∠X + m∠Z = 180 Angles in opposite segment are supplementary
m∠Z = 180 - m∠X = 180 - 118 = 62
m∠Z = 62
b. Given [tex]\overline {WZ} \cong \overline {YZ}[/tex] line drawn from W to Y forms isosceles triangles WZY, with base angles ∠WYZ and ∠YWZ equal (Base angles of an isosceles triangle)
Therefore
∠WYZ + ∠YWZ + m∠Z = 180 (Angle sum theorem)
∠WYZ = ∠YWZ (Substitution property of equality)
∠WYZ + ∠YWZ + m∠Z = ∠WYZ + ∠WYZ + m∠Z =180
2×∠WYZ + 62 =180
2×∠WYZ = 180 -62 = 118°
∠WYZ = 118°/2 =59
∠WYZ = ∠YWZ = 59
[tex]m\widehat{WZ}[/tex] subtends chord WZ at the center = ∠WYZ subtends chord WZ at the circumference
∴ 2×∠WYZ = [tex]m\widehat{WZ}[/tex]
[tex]m\widehat{WZ}[/tex] = 2×59 = 118
[tex]m\widehat{WZ}[/tex] = 118
c. m∠X + m∠Y + m∠Z + m∠W = 360 (Sum of angles in a quadrilateral)
m∠W = 360 - (m∠X + m∠Y + m∠Z) = 360 - (118 + 120 + 60) = 62
m∠W = 62
d. [tex]m\widehat{WZ}[/tex] + [tex]m\widehat{WX}[/tex] = [tex]m\widehat{XWZ}[/tex] (Angle addition postulate)
[tex]m\widehat{XWZ}[/tex] = 2 × ∠Y (Angle subtended at the center = 2 × Angle subtended at the circumference
∴ [tex]m\widehat{XWZ}[/tex] = 2 × 120 = 240
[tex]m\widehat{WX}[/tex] = [tex]m\widehat{XWZ}[/tex] - [tex]m\widehat{WZ}[/tex]
[tex]m\widehat{WX}[/tex] = 240 - 118 = 122°
[tex]m\widehat{WX}[/tex] = 122°.
Can someone please help solve this? Could you also show the formula as to how it is solved?
Step-by-step explanation:
the opposite side is AC
y=-3x + 4; y=-3x + 40
Is it parallel or perpendicular
Find the measure of b. A. 105 B. 100 C. 75 D. 80
Answer:
B 100.
Step-by-step explanation:
The measure of the angle opposite to the 100 degree angle = 180 - 100 = 80 degrees (The opposite aNGLES IN A CYCLIC QUADRILATERAL are supplementary).
S0 b = 180 - 80 = 100 degrees (adjacent angles are supplementary).
Answer:
B
Step-by-step explanation:
im smart
Which of the following are identities? Check all that apply.
Answer:
b
Step-by-step explanation:
thats funny i just did that
Answer: check all the answers except cos(x+y)+cos(x-y)=cos^2 x-sin^2 y
Step-by-step explanation:
took the test and hopefully mine was the same as the image above
The number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater fish population had an average rate of change of −92.57 per year during the same time. If the initial population of rainbow smelt was 227 and the initial population of bloater fish was 1,052, after how many years were the two populations equal? The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where x = the years since 1990 and y1 = the number of rainbow smelt. The linear function that models the population of bloater fish is y2 = . The linear equation that determines when the two populations were equal is –19.76x + 227 = –92.57x + 1052 . The solution is x = years.
Answer:
x= 11.33 years
Step-by-step explanation:
Y1= −19.76x + 227
Y2= = –92.57x + 1052
Y1 = Y2
–19.76x + 227 = –92.57x + 1052
Collect like terms and Simplify
-19.76x + 92.57x = 1052 - 227
72.81x = 825
Divide both sides by 72.81
x= 825 / 72.81
=11.33 years
Therefore,
x= 11.33 years
The solution for x is 11.33 years.
Given,
The linear function that models the population of rainbow smelt is[tex]y_{1} = -19.76x + 227[/tex]
The linear function that models the population of bloater fish is [tex]y_{2} =-92.57x + 1052[/tex]
Since, According to the question,
[tex]y_{2}=y_{1}[/tex]
[tex]-19.76x + 227 =-92.57x+1052[/tex]
On solving for x
[tex]-19.76x + 92.57x = 1052 - 227[/tex]
[tex]72.81x = 825[/tex]
Divide both sides by 72.81
[tex]x= \dfrac{825}{72.81}[/tex]
[tex]x=11.33 \ years[/tex]
Hence the solution for x is 11.33 years.
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What two numbers should you break 10 down to ?
Answer:
5
Step-by-step explanation:
Answer:
perhaps 2 and 5 depending on what you are asked to do
Step-by-step explanation:
10 can be broken down into 2 and 5 if you are looking for prime factors.
Write (x - 3) (x + 2)^2 in standard form. Answer choices in picture attached.
Greetings from Brasil...
Let us solve by parts. Power first
(X + 2)² = X² + 2.2.X + 2² = X² + 4X + 4
Rewriting
(X - 3).(X² + 4X + 4) applying distributive property
X³ + 4X² + 4X - 3X² - 12X - 12
X² + X² - 8X - 12What is the range of the following set of measurements?
"24.35 cm, 22.51 cm, 20.98 cm, 20.98, 30.33 cm, 30.98 cm"
The range is
cm.
Answer:
The range is 10 cm.
Step-by-step explanation:
The range of a set is the difference of the largest and smallest values of the set. Looking at the data, we see that 30.98 cm is the largest value and 20.98 is the smallest value so the range is 30.98 - 20.98 = 10 cm.
Answer:
The answer is
10 cmStep-by-step explanation:
To calculate the range in a given set of data subtract the lowest observation from the highest observation
From the question
The highest measurement = 30.98 cm
The lowest measurement = 20.98 cm
So the range is
30.98 cm - 20.98 cm
We have the final answer as
10 cmHope this helps you
simplify (x)^3(-x^3y)^2
Answer:
[tex] {x}^{3} \times {x}^{6y } = {x}^{3 + 6y} [/tex]
Answer: x^9 y^2
the way it works is you need to multiply the x's then answer
Erick just answered a help-wanted ad. The ad states that the job pays $45K 1 point
annually. What would Erick's monthly salary be if he gets this job?
Answer:
Per month salary = $3,750
Step-by-step explanation:
Given:
Annual pay = $45,000
Find:
Per month salary
Computation:
Number of month in a year = 12
Per month salary = Annual pay / Number of month in a year
Per month salary = $45,000 / 12
Per month salary = $3,750
round 5.659 to the nearest hundredth
Answer:
Your answer will be 5.66
PLEASE help me. I am stuck on this question for a long time. This is a graph problem
Answer:
Plot 1
Step-by-step explanation:
To ascertain which histogram represents the given data, divide the data into class intervals that should not over-lap, then find how many data fits into the class to get the frequency of each class. Lastly, compare the frequency of each class to the corresponding bar representing each class interval on the graph.
Thus, the class intervals and their frequency would be:
Class interval => frequency
[tex] 0 - 4: 3 [/tex]
[tex] 5 - 9: 4 [/tex]
[tex] 10 - 14: 4 [/tex]
[tex] 15 - 19: 6 [/tex]
[tex] 20 - 25: 3 [/tex]
Comparing these with the graphs given as options, plot 1 has a histogram that represents the data given.
please pick out of ABCDE :) please help :) Kiran records the height of each plant―those with a colored filter and those without. A. asking a question B. performing an investigation C. collecting data D. providing explanations E. communicating results
Answer:
c
Step-by-step explanation:
you have to collect the data to record the height of each plant.
3x+5=26 find the value of x
Answer:
7
Step-by-step explanation:
Here is ur answer mate
[tex]3 x+ 5 = 26[/tex]
[tex]3x = 21[/tex]
[tex]x = 7[/tex]
Hope it helps u
Answer:
x=7
Step-by-step explanation:
For k= -3 and n= -4, -K2 - (9k – 3n) + 6n=
(Simplify your answer.)
Answer: -(-3)2-(9(-3)-3(-4))
6+27-12
Step-by-step explanation:
Two negatives make a positive and a negative times a positive is negative
Find the surface area and volume for the following composite figure.
Step-by-step explanation:
volume = lbd + πr²h
l = 12 , b = 7 , d = 4 , r = 3 and h = 10
V = 336 + 90π
surface area = [2(lb + ld + bd) - πr²] - [2πrh + πr²]
= 320 - 9π - 60 - 9π
= 260 - 18π