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
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In a stationery design, the number of ovals is proportional to the number of squares. How many squares will there be when there are 75 ovals?
When there are 75 ovals, there are
?/?
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
Solve for me please
Answer:
[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]
• First find x
[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]
• Find y
[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]
• Find z
[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]
equate the three equations:
[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]
Find z
[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]
Find x
[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]
calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest
Answer:
41550
Step-by-step explanation:
how to solve 700/2,5 with steps please
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]
5m > 45 I need help
Answer:
m = 10
5 x 10 = 50
50 > 45
Step-by-step explanation:
-95
What is the quotient of
??
o
O
O
32
49
O )
12
2
༣
-29
Answer:
[tex] - 2 {x}^{9} [/tex]
In a normal distribution the mean is 30.What will be the value of median of this distribution?
Answer:
30
Step-by-step explanation:
because in normal distribution
mean=median=mode
Which expression is equivalent to (3a)-2?
O
o
3a2
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Can you help me
algebra 1
See the picture above for the solution.
Does anyone have the answer key for this assignment?
Answer:
try searching it up
Step-by-step explanation:
The sum of a number (m) and 15 is 80. Which equation shows this relationship
Answer:
m+15=80
Step-by-step explanation:
A number plus 15 = 80
m + 15 =80
20 cm
Den
mm
Base, heighi.
and lengu are
Above
Answer:
500
Step-by-step explanation:
Volume of a triangular prism formula
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )
So, you need to know just three measures: height, base, and length, in order to calculate the volume.
Does anyone know 1/4 x ? = -2?
Please scalping on a piece of paper or explain in the comment, that would be really helpful =]
Answer:
-8
Step-by-step explanation:
1/4 x = -2
You want the value of x. x is being multiplied by 1/4. To get x alone on the left side, you need to divide both sides by 1/4. Dividing by 1/4 is the same as multiplying by 4.
Multiply both sides of the equation by 4.
4 * 1/4 x = -2 * 4
4 * 1/4 = 1, so on the left side you get 1x which is just x.
x = 8
Answer: -8
the answer is 8
Step-by-step explanation:
1/4×8=-2
Based on your equation, what was the car’s approximate initial velocity (at time=0)?
From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the input and the output are defined as follows:
Input: Time in seconds.Output: Velocity in m/s.Hence the points are given by:
(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).
Using these points and a calculator, the equation is:
v = 3.64s + 5.7
The intercept of 5.7 represents the initial velocity in m/s.
A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800
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What is the place value of the 1 in the number 6.213
Answer:
The hundredths place
Expanation
6 is in the one's place
2 is in the theth's place
1 is in the hundredth's place
3 is in the thousandth's place
There is 1/2 cupcake left from
Answer:
each boy will get 1/4 of a cupcake
Step-by-step explanation:
1/2 ÷ 2= 1/4
Ratio table and please solve this it the picture I need it for homework
Answer:
4,12,8 in this order
Step-by-step explanation:
The ones on the top row are double the ones on the bottom row. So the ones on the bottom are half of the number that is above it.
Flying with the wind a plane went 348 miles per hour. Flying into the wind the plane only went 316 miles per hour What is the speed of the plane in still air? What is the speed of the wind
Answer:
?okihhligiutf rseyra qryjvgukvfyucgyivghvhgj
what is the answer for this equation 3x-2=2x+9
Answer:
x = 11
Step-by-step explanation:
3x-2x=9+2 1st and 2nd principle
X=11
how do you turn 4.90 into a fraction
what is 10/8 divided by 1/4
Answer:
5
Step-by-step explanation:
i think the answer is 5
what are all the questions?♀️ step by step please
Answer:
which questions pls, where are they
James loves to run. This month he plans to run 25 times. If he runs 13 miles
each time he runs, how many total miles will James run? Write an equation and
then solve the problem,
Answer:
325
Step-by-step explanation:
All you have to do is 25 x 13
25 x 13 = 325
So he will run a total of 325 miles
Construct five examples of simple sentences.
Answer:
Open the jar carefully.
Read the directions.
Don't cry.
Use common sense.
Make the best of things.
Catch up!
She doesn't study German on Monday.
Does she live in Paris?
He doesn't teach math.
Cats hate water.
Every child likes an ice cream.
Step-by-step explanation:
what is the LCD of 5/7, 1/6, and 11/12
Answer:
celluar resperation
Step-by-step explanation:
Which is 14 divided by 0.50?
14÷0.50
=28
Hope this helped you- have a good day bro cya)
Yesterday, Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour. How long did Maura work yesterday?
If Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour then she worked for 7.5 hours.
The total amount she made is the sum of her tips and her regular rate:
Total Earnings = Tips + Regular Rate
Given that:
Tips = $67
Regular Rate = $10 per hour
Total Earnings = $142
We can set up the equation:
142 = 67 + 10h
Now, solve for "h" (the number of hours Maura worked):
10h = 142 - 67
10h = 75
h = 75 / 10
h = 7.5
Hence, Maura worked for 7.5 hours yesterday.
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Find a point-slope form for the line with slope 1/5 and passing through the point (-3, -8).
i think it would be y+8=1/5(x+3)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
slope=m
m=1/5
The number name of 98745632 in indian system
Answer:
nine crore eighty seven lakh forty five thousand six hundred thirty two is the answer