The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
Learn more here: https://brainly.com/question/20545047
In a multiple choice test, a candidate gets 3 marks for a correct answer and one mark is deducted for an incorrect answer. If Ayobi answers all 30 questions and scores 30 marks, how many questions did
she get wrong?
Reason too
Answer:
30/3 = 10
Step-by-step explanation:
Divide 30 by 3 to get your answer which is going to be 10
It was -12 degrees Fahrenheit last night. The weatherman predicts that it will be 25 degrees warmer by noon. What will the temperature be by noon?
Answer:
-12 + 25 = 13 degrees
Step-by-step explanation:
Since it was -12 degrees you have to add the 25 degrees since it would be warmer.
Answer:
13 degrees Fahrenheit
Step-by-step explanation:
Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)
Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44
Player's bet number = $5 Bet amount = $2 Winning = $2 × $5 = $10Probability that wheel stops on $5:
Probability = required outcome / Total possible outcomesP(stops on $5) = 7/54 =
Hence, probability of not winning = 1 - 7/54 = 47/54
X :____ - 2 _____ 10
P(X) : _ 47/54 ___ 7/54
Expectation or Expected value :
E(X) = (-2 × 7/54) + (10 × 47/54)
E(X) = $8.44
Therefore, the player's expectation is $8.44
Learn more :https://brainly.com/question/25291774
If you answer this question correctly I will give brainliest
Answer:
Final point:
(18,35)
Step-by-step explanation:
This is because the x=intercepts are increasing at a constant rate of 10.
Hope this helps :)
The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
18 °F
Step-by-step explanation:
Simply multiply 3 and 6
One hour is 3 °F
Two hours is 6 °F
Three hours is 9 °F
Four hours is 12 °F
Five hours is 15 °F
Six hours is 18°F
please help me with this sum
Step-by-step explanation:
2667
1884
1953
782
2046
3105
8559
5368
963
3367
Answer:
381 x 7 = 2667
471 x 4 = 1884
651 x 3 = 1971
391 x 3 = 1173
341 x 6 = 2046
Hope its help full
Which of the following is the balance for a single $2,702 deposit in an account with an APR of 3% that compounds interest monthly and is invested for 37 years?
Answer:
the answer should be 6 if i am not wrong
Step-by-step explanation:
Simplify 5-(6a-3b-8)
Answer:
Step-by-step explanation:
5- (6a-3b-8) BODMAS
-30a-15b-40
What is the slope of 3x+4y=−2?
Answer:
[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]
I NEED HELP WITH THIS PLSSS
Answer:
B
Step-by-step explanation:
I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha
Help needed. 5x+8 6x+8 and 82 ……..
Answer:
x=6
Step-by-step explanation:
a triangle is 180º total
a line is also 180º total
180-82=98
5x+8+6x+8+98=180
11x+114=180
11x=66
x=6
In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population had risen to 7200. If this animal population experiences the same % increase over the next 50yrs what will be approximate population be?
Answer:
8,100
Step-by-step explanation:
7,200 - 6,400 = 800 increased in 50. Years
What percentage is 800 of 6,400 (%/100 = is/of)
x/100 = 800/6400 (cross multiply)
(800*100)/6400 = 12.50%
(12.50 * 7200)/100 = 900 increased
7,200 + 900 = 8,100
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
-5 -5
-3 -5
-5 -3
-3 3
Answer:
(-3,-5) .............................
Please help! Will give brainliest if the answer is correct
Answer:
18+18√3
Step-by-step explanation:
We know that ,
Perimeter = 2(l + b)On substituting ,
P = 2 ( l + b ) P = 2 ( 2 + 5√3 + 7 + 4√3 ) P = 2 ( 9 + √3(5+4)) P = 2 ( 9 + 9√3) P = 18 + 18√3Whats the answer? ( BRANLIEST )
Answer:
1/6a - 1/6
Step-by-step explanation:
-2/3a + 5/6a can be simplified:
1. Make a common denominator → -4/6a + 5/6a
2. Simplify '-4/6a + 5/6a' → 1/6a
Answer:
1/6a - 1/6
Answer:
[tex] - \frac{1}{6} (a +1 ) \\ [/tex]
Step-by-step explanation:
[tex] - \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{2 \times 2}{3 \times 2}a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{4a + 5a}{6} - \frac{1}{6} \\ - \frac{1}{6} a - \frac{1}{6} \\ - \frac{1}{6} (a + 1) \\ [/tex]
or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?
Answer:
adult tickets x=88 and senior tickets y=52
Step-by-step explanation:We can take adult ticket as x and senior ticket as y.
Now we will form two equations
x + y = 140
13x + 10y = 1664
This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)
We will multiply first equation with (-10) and get
-10x-10y=-1400 Than we will add to second equation and get
3x=264 => x=264/3=88 => x=88
Now we will replace x in the first equation before multiplying and get
88+ =140 => y= 140-88= 52 => y=52
adult tickets x=88 and senior tickets y=52
Good luck!!!
The radius of a circle is 3 yards. What is the circle's circumference?
Hello there! The formula for finding the circumference of a circle is
[tex]C=\pi d[/tex]
We are given that the radius is 3.
Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.
Now multiply π by 6:
C=18.8 yards
Hope this helps you! Please mark Brainliest if it does!
~Just a joyful teen
[tex]SilentNature[/tex]
I don't get it please help and show me how to do it
Answer:
Step-by-step explanation:
You plug in the given values and compute s:
s = ut + 1/2 at^2
s = 10*1/2 + 1/2*-2*(1/2)^2
= 5 + -1*1/4
= 4 3/4.
write 1234 base 5 in powers of 5.
Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century. It has three tenets:
1. Living organisms are made up of cells.
2. Cells are the basic structural/organizational unit of all organisms.
3. All cells come from pre-existing cells.
What technology had the greatest impact on cell theory?
Step-by-step explanation:
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells
What is cell theory?In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.
Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.
The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.
This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.
To know more about cell theory follow
https://brainly.com/question/1594446
What is the unit rate of 124 pages and 2 hours
Answer:
62 pages per hour.
Step-by-step explanation:
Divide 124 ÷ 2.
help me guys I don't get it ?
Answer:
[tex]x =[/tex] [tex]-30[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
In a figure, D and E are points on side BC of a△ ABC such that BD = CE and AD = AE. Show that △ABD ≅ △ACE
Step-by-step explanation:
AD=AE
BD=EC
D=E
....ABD=ACE
. . .Factor 2x2 + x - 1
Answer:
(2−1)(+1)
Step-by-step explanation:
22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1
solve log2 base x + log4 base x + log8 base x = 12 ?
Answer:
Step-by-step explanation:
Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
What is the midpoint of CD?
Answer:
The endpoints of the line segment CD are:
$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$
We find the midpoint using th
where is the circumvented of a right isoceles triangle located
Answer:
The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (i.e., the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (i.e. meeting at one point).
Step-by-step explanation:
I hope that helps you and the explanation is in this answer too
If AB= 4 units and DC=4 units , what is the length of BC
Answer:
sqrt(2)
Step-by-step explanation:
bd=ab/2=2
=> bc=qrt(bd^2+dc^2)=sqrt(4+16)=2sqrt(5)