by using Pythagoras theorem c2= a2 + b2
so let's say c= 17 and a= 7, let's calculate for b
(17)^2 = (7)^2 + b2
289= 49+b2
289 - 49 = b2
240 =b2
√249 = b
b = 15 . 49
for each relation, decide whether or not it is a function
Answer:
Relation 1,2,and 4 are functions, but relation 3 not is a function.
Step-by-step explanation:
function 1 input, no function with the same input like m in relation 3.
If you don’t know the answer please don’t answer
Answer:
[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ { \tt{ \sin(55 \degree) = \frac{x}{15} }} \\ x = 15 \sin(55 \degree) \\{ \boxed{ \bf{ x = 12.29 \: }}} \: feet[/tex]
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
Answer:
Step-by-step explanation:
N is the centriod of triangle. Find XN if XG = 33
Answer:
22
Step-by-step explanation:
The centroid divides a median in two parts that have this ratio = 1/3 and 2/3
In particular the part between the vertex and the centroid is 2/3 of the median.
So we have:
XN = (33 * 2)/3 = 22
What is the recursive formula for this geometric sequence?
-4, -24, -144, -864, ...
= -4
O A.
an =
2n-1 • 30
OB.
la = -4
ar = 2n-16
fa
= -6
C.
= 2n-1 • 30
= -6
O D.
lan
ar = 2n-1.4
Answer:
a1 = -4
an = an-1 * 6
Step-by-step explanation:
-4, -24, -144, -864, ...
First find the common ratio
Take the second term and divide by the first term
-24/-4 = 6
The common ratio is 6
The recursive formula is
a1 = -4
an = an-1 * 6
Can I know the answer for the above questions
Answer:
Step-by-step explanation:
James' truck uses 8 gallons of gas per day. He filled his tank up with 36 gallons of gas. How many days will James be able to drive using 36 gallons of gas?
Answer:
4.5
Step-by-step explanation:
36 ÷ 8 = 4.5
James will be able to drive for 4.5 days.
Mark me as brainliest please
James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
What is arithmetic maths ?Arithmetic is the fundamental of mathematics that includes the operations of numbers like addition, subtraction, multiplication and division.
We have,
James' truck uses gas per day [tex]=8[/tex] gallons
Tank has gas [tex]=36[/tex] gallons
Now,
According to the question,
Number of days James will drive [tex]= \frac{Total\ gas}{Gas\ used\ per\ day}[/tex]
[tex]=\frac{36}{8}[/tex]
Number of days James will drive[tex]=4\frac{1}{2}[/tex] days
Hence, we can say that James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
To know more about arithmetic maths click here
https://brainly.com/question/12194146
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What is the measure of ∠
A. 6°
B. 42°
C. 60°
D. 49°
Answer:
<XYZ is equal to 49°
Step-by-step explanation:
Set the two expressions equal to each other so 7x+7=5x+19. Subtract 5x from 7x and 7 from 19 which is equal to 2x=12 that means x is 6. then plug 6 into (7x+7) which is equal to 49.
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. (a) What proportion of rods has a length less than 28.9 cm? (b) b) Any rods that are shorter than 24.84 cm or longer than 25.16 cm are discarded. What proportion of rods will be discarded?
Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than [tex]24.84[/tex] cm or longer than [tex]25.16[/tex] cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Bryant bought 5 pounds of bananas for $3.45. If Mel bought 7 pounds of
bananas from the same market stand, how much did he pay?
Answer:
Here is your answer..
Hope it helps
Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
They have the same slope
Step-by-step explanation:
The standard equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Answer:
The numbers you're looking for are 54, 55, and 56.
Step-by-step explanation:
x + (x + 1) + (x + 2) = 5 * (x + 1 - 22)
3x + 3 = 5x - 105
3 = 2x - 105
108 = 2x
x = 54
x + 1 = 55
x + 2 = 56
If a 750 ml bottle of juice costs £1.90 and a 1 litre bottle of the same juice costs £2.50 then the 750 ml bottle is better value.
Answer:
The 1 liter bottle is better value
Step-by-step explanation:
Cost of 750 ml = £1.90
Cost of 1 liter = £2.50
1000 ml = 1 liter
Cost per 250 ml
750 ml / 3 = £1.90 / 3
250 ml = £0.6333333333333
Approximately,
£ 0.633
Cost per 250 ml
1 liter / 4 = £2.50 / 4
250 ml = £0.625
The 750 ml bottle is not a better value
The 1 liter bottle is better value
Simplify this algebraic expression completely
8-y-2(y+4)
A. 6y+4
B.6y-8
C.6y+2
D.6y-4
the answer for your question is A :>
convert 4 seconds to hour
Answer:
0.00111111 hrs
Step-by-step explanation:
Have a nice day
Answer:
4/3600 = .001111 hr
Step-by-step explanation:
4 seconds * 1 hour * 1 minute = 4/3600 = .001111 hr
60 minutes 60 seconds
Show Workings.
Question is in attached image.
Answer:
A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.
Solution given;
diameter [d]=40cm
centre angle [C]=70°
(a) Find the perpendicular distance be tween the chord and the centre of the circle.
Answer:
we have
the perpendicular distance be tween the chord and the centre of the circle=[P]let
we have
P=d Sin (C/2)
=40*sin (70/2)
=22.9cm
the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.
(b) Using = 3.142, find the length of the minor arc.
Solution given;
minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]
=24.44cm
the length of the minor arc. is 24.44cm.
B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.
If XY = 12 cm, find the area of triangle XYZ.
Solution given:
XY=12cm
XO=15/2cm
XZ=2*15/2=15cm
Now
In right angled triangle XOY [inscribed angle on a diameter is 90°]
By using Pythagoras law
h²=p²+b²
XZ²=XY²+YZ²
15²=12²+YZ²
YZ²=15²-12²
YZ=[tex]\sqrt{81}=9cm[/tex]
:.
base=9cm
perpendicular=12cm
Now
Area of triangle XYZ=½*perpendicular*base
=½*12*9=54cm²
the area of triangle XYZ is 54cm².
Answer:
Question 1a)
d = 40 cm ⇒ r = 20 cm
Let the perpendicular distance is x.
Connecting the center with the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.
From the given we get:
x/20 = cos 35°x = 20 cos 35°x = 16.383 cm (rounded)b)
The minor arc is 70° and r = 20
The length of the arc is:
s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)Question 2Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.
r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cmFind the missing side, using Pythagorean:
[tex]YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9[/tex]The area of the triangle:
A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²the hypotenuse of a right angled triangular field is 50ft and the legs are in the ratio 7:24, find the area of the right angled triangular field triangular field also find the cost of paving the field with brick at the rate of rs.20per square ft
Answer:
Step-by-step explanation:
If one leg is 7x than other leg is 24x
Using Pythagoras
50² = (7x)² + (24x)²
2500 = 49x² + 576x²
2500 = 625x²
x² = 2500/625 = 4
x = +2 or -2 ; x is positive
Means 7 x = 14 and 24x = 48
The two sides are 14cm and 48cm
Test: 14² + 48² = 196 + 2304 = 2500= 50²
True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.
True
False
Answer:
False.
Step-by-step explanation:
...................
what is 8/9 divide 2/3?
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify the complex fraction.
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify
4/3 is the correct answer
List the integers which satisfy the inequality 4.5< -X
There are an infinite number of them.
The ten greatest ones are -5, -6, -7, -8, -9, -10, -11, -12, -13, and -14 .
Now that I've given you ten of them, there are only an infinite number more. I'm too busy right now to list them all.
Answer:
p and q are two numbers.whrite down an expression of.
Evaluate the expression 3(5 + 2)(7 - 2) using order of operations.
Answer:
105
Step-by-step explanation:
The order of operations is written as PEMDAS. These letters stand for:
-Parentheses
-Exponents
-Multiplication
-Division
-Addition
-Subtraction
We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.
3(7)(5) The first step is to simplify the numbers in the parentheses.
There are no exponents, so we skip to the next step, multiplication.
(3*7)(5)
21(5)
105
PEMDAS is no longer needed because 105 has come out to be our answer.
I hope this helps you out! Have an an awesome day :3
I need help what’s the answer I’m trying to pass?
Answer:
11.925
Step-by-step explanation:
Select the correct answer.
What is the value of x in the triangle?
Answer:
The answer is A. 21
Hope it helps.
Step-by-step explanation:
• • •
Thank you so much for your help
Answer:
1.1x
Step-by-step explanation:
that is the procedure above
What is the solution to this equation?
7x - 2(x - 10) = 40
O A. x = 4
O B. x = 12
O C. x = 6
D. X = 10
Answer:
A. x = 4
Step-by-step explanation:
[tex]7x-2(x-10)=40\\7x-2x+20=40\\5x+20=40\\5x=20\\x=4[/tex]
Ashish deposite rs 1000 every month is a recurring deposit account for period of 12 months. If the bank pays interest at a certain rate p.A. And ashish gets 12715 as the maturity value of this account at what rate of interest did he pay every month
Solution :
Given :
Principal amount, P = Rs. 1000
Time period = 12 months
The maturity value = Rs. 12,715
We know that,
[tex]$ SI = \frac{PTR}{100}$[/tex]
[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
SI = 65 R
So we know,
maturity value = principal amount + SI
12715 = 1000 + 65 R
65 R = 12715 - 1000
65 R = 11715
R = 18%
So the rate is 18%
Answer:
[tex]R=11\%[/tex] p.a.
Step-by-step explanation:
Given:
the principal amount deposited each month, [tex]P=Rs. 1000[/tex]
amount after maturity of one year, [tex]A=Rs. 12715[/tex]
We have the formula as:
[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]
where:
R = rate of interest per annum
T = time in months
[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex] [since the principal is deposited each month]
[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]
[tex]R=11\%[/tex] p.a.
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Step-by-step explanation:
Please need help explanation need it
Answer:
308 m^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l is the length , w is the width and h is the height
V = 7*4*11
V = 308 m^3
which of the following equations are perpendicular
Solve. -7x+1-10x^2=0
Answer:
[tex]-7x+1-10x^2=0[/tex]
[tex]-10x^2-7x+1=0[/tex]
[tex]quadratic\:equation:-[/tex] [tex]ax^2+bx+c=0[/tex]
[tex]solutions:-\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]For \\A=-10\\B=-7\\C=1[/tex]
[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}}{2\left(-10\right)}[/tex]
[tex]\sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}=\sqrt{89}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{89}}{2\left(-10\right)}[/tex]
[tex]x_1=\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)},\:x_2=\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}[/tex]
[tex]\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)}=-\frac{7+\sqrt{89}}{20}[/tex]
[tex]\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}=\frac{\sqrt{89}-7}{20}[/tex]
[tex]x=\frac{\sqrt{89}-7}{20}[/tex]
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