Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
quick question need the answer in 10 mins please
Answer:
b
the sqr root should go with the x and the intercept is at -2/3
HELP ME PLSSS :((PLSSSS
Answer:
40 degrees
Step-by-step explanation:
all angles add to 180* in a triangle
65+75=140
subtract from 180, you get 40 which is your answer
Full in each box to make statement true
50 points
Answer:
Step-by-step explanation:
(-2x)⁴(-3⁻¹x¹y⁻²)³ = -(16x⁷)/(27y⁶)
please help dont know how to solve
Answer:
35cm
98°
Step-by-step explanation:
4x+3=6x-13
4x+16=6x
16=2x
8= x
4x+3 = 8*4+3 = 35
9y+17=11y-1
9y+18=11y
18=2y
9=y
9y+17 = 9*9+17= 98°
Por que necesitamos los modelos Matemáticos
Answer:
TRANSALATE!!!!
Step-by-step explanation:
Answer:
Para qué sirve un modelo matemático? Los modelos matemáticos son utilizados para analizar la relación entre dos o más variables. Pueden ser utilizados para entender fenómenos naturales, sociales, físicos, etc.
Step-by-step explanation:
a number x divided by 2
Answer:
x/2
Step-by-step explanation:
pls this is a simultaneous equation- one linear one quadratic a-2b =2 -------- (1). a²+b²+2a -3b =19 --------(2). pls I need it urgently thanks
Answer:
Hence a = 3.66 and -3.628
b = 0.834 and -2.634
Step-by-step explanation:
Given the equations
a-2b =2 -------- (1)
a²+b²+2a -3b =19 --------(2).
From 1;
a = 2 + 2b
Substitute into 2
(2+2b)²+b²+2a -3b =19
Expand
4 + 8b + 4b²+b²+2(2+2b)-3b = 19
4b²+b²+8b+4b+4+4-3b = 19
5b²+9b+8 = 19
5b²+9b-11 = 0
b = -9±√81+4(55)/2(5)
b= -9±√301/10
b = -9+17.34/10 and -9-17.34/10
b = 8.34/10 and -26.34/10
b = 0.834 and -2.634
Since a = 2+2b
a = 2+2(0.834)
a= 2 +1.668
a = 3.668
Also
a = 2+2(-2.634)
a = 2 - 5.628
a = -3.628
Hence a = 3.66 and -3.628
b = 0.834 and -2.634
A rectangular window is 3ft long and 2ft wide. Kala would like to buy a screen for the window. The cost of the screen is based on the number of square inches the screen is. Use the facts to find the area of the window in square inches.
Answer:
The cost of screen for window = 864.
Step-by-step explanation:
We have,
A rectangular window of length = 3ft and breadth 2 ft.Fir solving,
As the answers should be in sqaure inches let us first convert ft in inches.Then, we will find the area of window and as the cost of screen is same as that of area,we will find it.★Conversion from ft to inches:
We kow that,
1 foot = 12 inchesTaking this in mind, convert the values
= Length = 3 ft
= Length = 3 × 12
= Length = 36 inchees
= Breadth = 2ft
= Breadth = 2 × 12
= Breadth = 24 inches
★Area of window:
We know that,
= Area of rectangle = Length × Breadth
= Area = 36 × 24
= Area = 864 inches²
As, area of window in square inches equal to cost of the screen.
Therfore, cost of screen would be 864.
__________________________How much more would Keri's monthly loan payment be if she got a 5% loan for 5 years?
$
more per month
$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.
What is EMI?equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.
Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -
P x R x (1+R)^N / [(1+R)^N-1] where-
P = Principal loan amount.
N = Loan tenure in months.
R = Monthly interest rate.
R = Annual Rate of interest/12/100.
Putting these values in above equation
EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]
EMI = 9436
Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%
Learn more about EMI here:
https://brainly.com/question/27587721
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HELP PLEASE!! I NEED ANSWER SOON!!!!!
Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.
Answer:
A. is correct
Step-by-step explanation:
sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to
√3·√3·√4.
Note that √4 = 2 and that (√3)^2 = 3,
so the final result is 2*3, or 6 (a rational number).
A. is correct: √3 and √12 are both irrational, but their product is rational.
Sam solved the equation 6x - 8 = 16 below. Find her error and solve it correctly.
If (6*1.33) - 8 equals anything, it's -0.02
If you want your answer to be 16, X must equal 4
Can SOMBODY please help me with this?
I’ve already done these but I wanna be sure I got the right answer!!
Answer: 1. 71.4
2. 40.10
Step-by-step explanation:
1. The radius is half of the diameter so just divide 142.8 by 2
2. Diameter is easy 20.5*2
Hope this helped :)
Henry was thinking of a number. Henry doubles it, then adds 4 to get an answer of 43.5. What was the original number
Answer:
17.75
Step-by-step explanation:
43.5 divided by 2 is 21.75
21.75 minus 4 equals 17.75
You're basically just using reverse operations to get back to the original number.
What is the value of x?
Answer:
sum of angles in a triangle is 180
so 55+80+x=180
135+x=189
x=180-135
x=45
The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other is 242424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?
Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Step-by-step explanation:
Let x= height of each fir tree, y = height of each pine tree.
As per given, we have
x+y = 21 (i)
4x=y+24 (ii)
From (ii),
[tex]4x-y=24[/tex] (iii)
Add (i) and (iii), we get
[tex]5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9[/tex]
Put value of x in (i), we get
[tex]9+y=21\Rightarrow y=12[/tex]
Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Answer:
Each fir tree is 9 meters tall and each pine tree is 12 meters tall.
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
You have a total of $24 in your bank
account. You owe your brother $8
and your sister $17. What is the
balance of your account?
Answer:
-$1.00
Step-by-step explanation:
Subtract amount of money you owe
17 + 8 = 25
24 - 25 = -1
A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes.
What expression represents the new position of the submarine in relation to sea level?
Answer:
We know it's at -1260 feet and descends 5 per minute
The expression of this would be: -1260 - 5x, where x would be the time in minutes, as from -1260 feets it descends 5 per min.
Then, if we need to calculate it when it passes 12 minutes, we can replace the x by 12, and get the distance it would be
-1260 -5*12 = -1320 feet
And the answer would be -1320 feets
Amanda and her group of friends spent a total of $35.50 on 7 hot dogs and 6 cheese burgers. Greg and his group of friends spent $30.50 at the same snack bar on 5 hot dogs
and 6 cheese burgers.
For your answer WRITE THE EQUATIONS and state how much hot dogs cost and cheese burgers cost.
A certain brand of shampoo contains 12 ounces in a bottle. The company
decides to redesign the shape of the shampoo bottle. The new type of
bottle contains 15 ounces of shampoo. What is the percent of increase in
the amount of shampoo the new bottle contains?
Answer: 15% I think
Step-by-step explanation:
The percent of increase in the amount of shampoo the new bottle contains is 25%.
Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.
What is the percentage of increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.
Percentage increase = (Final value - Initial value) / Initial value × 100
Now, initial value = 12 and final value = 15
Percentage increase = (15-12)/12 × 100
= 3/12 × 100
= 1/4 × 100
=25%
Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.
To learn more about the percentage increase visit:
https://brainly.com/question/10168902.
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The distance from Agnew Middle School to Baylor University is 180 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these schools? * 22 mi 113 mi 288 mi 175 mi
Answer:
113 miles
Step-by-step explanation:
Distance = 180 km
Number of km per mile = (8/5) = 1.6 miles
Number of miles between the schools:
Distance / Number of kilometers per mile
180km / 1.6
= 112.5 miles
= 113 miles
Distance between the schools is approximately 113 miles
The hotel has 450 rooms. ONE
HALF of the rooms are filled. How
many rooms are still available?
Answer:
225
Step-by-step explanation:
450 ÷ 2 = 225
Answer:
225 rooms
Step-by-step explanation:
Find 1/2 or 50% of 450. 50% of 450 is 225. So 225 rooms are full, and 225 are empty.
I don't what to do
Only 1-9
Write the equation for the following graph:
Slope (m)
Y-intercept (b)=
Equation: y =
X +
Answer:
y = - 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2
y = - 3x - 2 ← equation of line
HELP ME PLEASEEEEE PLEASEEEEE
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
A number five times is twenty
five.
(write the equation )
Answer:
5x=25
Step-by-step explanation:
if you need the answer
5x5=25
5+5+5+5+5=25
What is the x- coordinate of point X
Answer:
abscissa
I know because intoke the test and it had the same answer in it
if are is 24cm² find the x
Answer:
[tex]x = 6[/tex]
Explanation:
Given:
[tex]Area = 24cm^2[/tex]
See attachment for shape
Required
Find x
The attached shape is a rectangle.
So:
[tex]x * 4 = 24[/tex]
[tex]4x = 24[/tex]
Divide both sides by 4
[tex]\frac{4x}{4} = \frac{24}{4}[/tex]
[tex]x = \frac{24}{4}[/tex]
[tex]x = 6[/tex]
3 3/5 x (-8 1/3) iready please help
Answer: -30
Step-by-step explanation:
I just plugged it into a calculator hehe.
Two siblings ' ages have a sum of 64 years . The older sibling was born 6 years before their young sibling . Write a system of 2 equations . Solve the system using substitution . Report your answer in the form of ( older , younger ).
Answer:
younger sibling = 29 years
older sibling = 35 years
Step-by-step explanation:
Let
x = younger sibling
y = older sibling
x + y = 64 (1)
The older sibling was born 6 years before their young sibling
x = y - 6 (2)
Substitute x = y - 6 into (1)
x + y = 64
y - 6 + y = 64
2y = 64 + 6
2y = 70
y = 70/2
y = 35 years
Substitute y = 35 into (2)
x = y - 6
x = 35 - 6
x = 29 years