Answers
Answer:
8.66 cm
Step-by-step explanation:
From the diagram :
The vase of the triangle = 9.9cm - 4.9 cm = 5cm
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Opposite = √10²-5²
Opposite = √100 -25
Opposite= √75
= 8.66 cm
Related Questions
Write each expression using a single exponent.
H^14 over h^5
A. h-9
B. one over h to the ninth
C. h19
D. h9
Answers
Answer:
h^9
Step-by-step explanation:
When divided you subtract exponents 14-5=9
The expression using a single exponent is (d) h^9
Writing the expression using a single exponent.From the question, we have the following parameters that can be used in our computation:
h^14 over h^5
This means that
h^14/h^5
Apply the law of indices
So, we have
h^14/h^5 = h^(14 - 5)
This gives
h^14/h^5 = h^9
Hence, the solution is (d) h^9
Read more about expressions at
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A farmer would like to estimate the mean amount of
milk produced per day by his 300 cows. He selects a
random sample of 15 cows and records the amount of
milk produced in gallons) by those cows. The dotplot
shows the data. Given that all of the recorded values are integers, what is the value of the standard error of the mean?
0.765
0.792
2.267
2.346
Answers
Answer:
0.765
Step-by-step explanation:
The dot plot shows the data
x= 20,21,22,23,24,24,25,25,25,26,26,27,28,29,31
The mean x`= ∑x/n =20+21,+22,+23,+24,+24,+25,+25,+25+,26+,26+,27+,28+,29+,31/15= 376/15
=25.067
where n is the sample size= 15
The standard deviation is σ=2.96
( using calculator)
The standard error is calculated as
SE= σ/√n
SE= 2.96/√15
SE= 0.765
Simplify (-32) divided by (-4)
Answers
Answer:
[tex] \frac{8}{1} [/tex]
Step-by-step explanation:
[tex] \frac{ - 32}{ - 4} [/tex]
Reduce factor by 4
[tex] \frac{ - 8}{ - 1} [/tex]
A negative divided by a negative equal positve so
[tex] \frac{8}{1} [/tex]
the simplest form of 32/4 is 8/1
find the GCD ( or HCF) of numerator and denominator GCD of 32 4 is 4
divide both the numerator and denominator GCD
32/4 ÷ 4/4
reduce fraction: 8/1
therefore, 32/4 simplify to lowest terms is 8/1.
In a circle, the length of an arc intercepted by a central angle is 12mm, and the radius of the circle is 8 mm. What is the measure, in radians, of the circle
Answers
Answer:
Step-by-step explanation:
S = 12mm
r = 8mm
What is the measure, in radians, of the circle or central angle?
The measure of a circle in radians is 2 radians. I think you want the central angle thata.
theta = S/r radians
theta = 12/8 radians
theta = 1.5 radians for the central angle
The measure in radians of the circle is 1.5π radians
What is central angle?The angle between two radii of a circle is known as the central angle of the circle.
given: S = 12 mm
r = 8 mm
circumference of a circle=2π radians
Since, 16π=2π radians.
1π= 2π /16
for,
12π =2π /16 *12
= 3/2*π
= 1.5π
[tex]\theta[/tex] = 1.5π radians
Learn more about this central angle here:
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Which is true about the line whose equation is x = 5?
The slope is undefined.
The y-intercept is 4.
The value of x always equals the value of y.
The slope is zero.
Answers
Answer:
the slope is undefined
Step-by-step explanation:
Since x=5, the graph is a straight vertical line when x=5. Since the line is vertical and not horizontal, the slope is undefined. If the line was horizontal then the slope would equal zero.
Andre sets up a rain gauge to measure rainfall in his backyard. On Tuesday, it rains off and on all day, use the graph to determine how much total rain fell on Tuesday
Answers
The total amount of rainfall is an illustration of the sum operator
The total amount of rainfall that fell on Tuesday is 35 mm
How to determine the total amount of rainfall?From the graph (see attachment), we have the following function values
f(10) = 2
f(11) = 3
f(12) = 2
f(1) = 4
f(2) = 6
f(3) = 8
f(4) = 10
f(5) = 0
Add up the function values to determine thet total amount of rainfall
Total = 2 + 3 +2 + 4 + 6 + 8 + 10 + 0
Evaluate the sum
Total = 35
Hence, the total amount of rainfall that fell on Tuesday is 35 mm
Read more about graphs at:
https://brainly.com/question/4025726
3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5
Answers
Answer:
y=2x-1
Step-by-step explanation:
A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.
Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.
y=mx+b
y=2x+b
3=2(2)+b
-1=b
Therefore the equation is y=2x-1
The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?
Answers
To find this answer you divide. 75 divided by 15 equals 5.
Hope this helps!!
Answer:
O.5 cents each
Step-by-step explanation
You have to multiply 75 by 0.15
14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°
Answers
According to given angles ,
Angle C=180- angle F (Linear pairs or st.line )
=70
Angle B = 180 - angle B (Same as above)
=80
Now
Angle D =Angle C + Angle B (Exterior angle property of a triangle)
=150°
Enjoy
What is the expanded form of this number?
630.052
(6×100)+(3×1)+(5×1/100)+(2×1/1,000)
(6×100)+(3×1)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/10)+(2×1/100)
(6×100)+(3×10)+(5×1/100)+(2×1/1,000)
Answers
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Word Form:
630.052 =
six hundred thirty and fifty-two thousandths
Step-by-step explanation:
Answer:
Expanded Notation Form:
630.052 =
600
+ 30
+ 0
+ 0.0
+ 0.05
+ 0.002
Expanded Factors Form:
630.052 =
6 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 2 × 0.001
Expanded Exponential Form:
630.052 =
6 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 2 × 10-3
Step-by-step explanation:
.Please help with question 21
Answers
Answer:
y=500x+20000
Step-by-step explanation:
Plz help me well mark brainliest if correct!!.....
Answers
Answer:
D
Step-by-step explanation:
Do I need to explain?
Answer:
D(8)
Step-by-step explanation:
So remember, 2 opposite sides of a triangle are equivelent.
We know that one of these sides are 3.
So the other side must be 3 as well.
This is 2 of the 4 sides of a rectangle.
If each side is 3, and there are two sides, this means that they add up to 6.
Subtract this from your total permiter:
22-6
=
16
Now remember, there are 2 sides left.
To find the answer, divide the 16(permiter left) by the 2(sides left):
16/2
=
8
This is your answer!
Hope this helps! :)
Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.
Answers
Answer:
Tessa is correct. They have enough money.
Please read Comfort Zone on Wattpad!!!!!!
Simplify 5(2y+6)+(-24y)
Answers
Answer:
-14y + 30
Step-by-step explanation:
Tell me if I am wrong but I think this is it.
Answer:
-14y+30
Step-by-step explanation:
Hope this helpss
Please HELP ASAP IN NEED IT I WILL GIVE YOU POINTS
Answers
Answer: c six less than twice is the same as two times a number minus six
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
"Twice a number" means a variable/mystery number times 2; aka 2x.
"Six less than" means minus/subtract six.
So, therefore it's 2x - 6.
area of the parallelogram
Answers
Answer:
48[tex]m^{2}[/tex]
Step-by-step explanation:
Area = base x height
Area = 8m x 6m
Area = [tex]48m^{2}[/tex]
A new car is purchased for $30,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 11 years after it was purchased, to the
nearest hundred dollars?
Answers
Answer:
Step-by-step explanation:
6600
The car is about $6529.12 eleven years after it was bought.
What is an exponent?The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:
[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]
Here, x is how long ago the car was bought.
With x = 11 and a starting value of $30,000, this calculation yields:
[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]
Simplify the equation, then we have
P = $30,000 x 0.2176
P = $6529.12
The car is about $6529.12 eleven years after it was bought.
More about the exponent link is given below.
https://brainly.com/question/5497425
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Find the exact value of sin 240° in simplest form with a rational denominator.
Answers
Step-by-step explanation:
sin 240° = -½√3 = -0.866
_______
Each girl on a cheerleading squad bought a bear. The leader paid for their cheerleading outfits for each of them. She spent $175. Write and solve an equation to find how many cheerleading outfits, c, the leader bought. Cheerleading outfit cost- $12.50
Answers
Answer:
175 ÷ 12.50 = 14
Step-by-step explanation:
Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.
Answers
Answer:3
Step-by-step explanation:
Estimate the payment on a 2019 Honda Civic that is selling for $24,599. You will be leasing the vehicle for 3 years. The estimated resale value of the Honda after 3 years will be $13,750 and the sales tax and fees are estimated at 10%. You will need a 20% down payment and you will be financing the balance for 3 years at 2.8%.
Answers
Answer:
Step-by-step explanation:
Simplify 5 (x + 2) + 2 (x - 5)
Answers
Answer: 7x let me know if you need an explantion.
write the product in standard form (2x + 5) ^2
Answers
Answer:
4x^2+20x+25
Step-by-step explanation:
(2x+5)^2 = (2x+5) (2x+5)
Using the foil method : 2x(2x) = 4x^2
(2x) (5) = 10x
(2x) (5) = 10x
5 (5) = 25
Combine like terms
Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.
Answers
Q3. 37.5
IQR. 13.5
M. 28
5) Q1. 54.5
Q3. 61.5
IQR. 7
M. 59
6) Q1. 73.5
Q3. 82
IQR. 6.5
M. 76
7) Q1. 107
Q2. 125
IQR. 18
M. 118
Hal has two cans containing biscuit dough. The cans are cylindrical and their dimensions (in inches) are as follows.
• Can A: h = 8 and r= 1.1
• Can B: h = 4 and r = 2.2
Which of the following statements about the volumes of the cans is true?
OA.
The volume of can A is half the volume of can B.
ОВ.
The volumes of the two cans are equal.
OC. The volume of can B is four times the volume of can A.
OD.
The volume of can B is half the volume of can A.
Answers
Exercise 1 Usage of free production capacity
A factory has ended a non-profitable production line. As a result, there is a reasonable amount
of free production capacity available. The management team considers to use this capacity for
manufacturing one or more of the products A, B and C. Before a product can be sold it has to be
treated by 3 machines. The table below shows the available capacity per machine and the amount
of hours required to manufacture a product:
Machine type Available capacity Product A Product B Product C
(hours per week)
Machine 1
500
9
3
5
Machine 2
350
5
4
0
Machine 3
150
3
0
2
It is expected that each unit of product A and B that is manufactured can be sold, while the
number of sales of product C is at most 20 units per week. The profit per unit is 50, 20 and 25 Euro
for product A, B and C, respectively. The manufacturing team wants to maximize total profit.
Formulate this problem as a linear programming problem and explain which decision variables are
used.
Answers
Answer:
Step-by-step explanation:
y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.
can somebody help me fill this out plz
Answers
CAN SOMEONE HELP A DUMMY OUT PLZ
Find the value of h for the triangle.
A14
h=1
No links plz :)
Thanks:)!!
Answers
9514 1404 393
Answer:
5.3
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . where b is the base length and h is the height.
The figure gives an area and shows b=h, so we have ...
14 ft² = 1/2(h)(h)
28 ft² = h² . . . . . . . . . multiply by 2
h = √28 ft ≈ 5.3 ft . . . . . take the square root
Two less than the product of five and a number is negative 12.
Answers
Answer:
1. 2x-4=10
2. 3x+3=2x-1
3. 7x+x=24
4. 5+x=-18
5. -14=10-6x
6. 2x-2=x+12
7. 3x-31=2
8. 5x-14=16
9. 2x+8=4(5-x
10. 2x-3=3(1+x)
Explanation:
I JUST TAKEN THE QUIZ!!!!!
Select all the equations that are equivalent
Answers
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.