Answer:
X=51/7, Y= -36/7
Step-by-step explanation:
X/3 + 2y/3 = -1 equ 1
X - y/3 = 9 equ 2
eliminate X/3.
X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )
X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )
X/3 + 2y/3 = - 1 equ 3
-
X/3 - y/9 = 3 equ 4
0 + 7y/9 = -4
y = -36/7
( input the value of y into equ 4 )
X/3 -y/9 = 3
X/3 - (-36/7)/9 = 3
X/3 + 36/63 = 3
X/3 = 3 - 36/63
X/3 = 153/63
63X = 459
X = 459/63
X = 51/7.
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left
Answer:
Perimeter = 98 cm
Area = 596 [tex]cm^{2}[/tex]
Step-by-step explanation:
Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.
Perimeter of a figure = Sum of all its sides + Perimeter of circle
Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.
The sides of this resultant figure = 30 - 14 = 16 cm
and 25 - 14 = 11 cm
So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle
[tex]\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm[/tex]
To find area of this figure = Area of rectangle - Area of circle
Area of rectangle = Length [tex]\times[/tex] Width
[tex]\Rightarrow 30 \times 25 = 750\ cm^{2}[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}[/tex]
So, area of figure = 750 - 154 = 596 [tex]cm^{2}[/tex]
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
C. x²+12x+36
Step-by-step explanation:
Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:
(x+6)²=
(x+6)(x+6)=
Use FOIL method.
First: x²
Outer: 36
Inner: 6x
Last: 6x
x²+36+6x+6x=
x²+12x+36
The answer that fits is C. x²+12x+36.
Answer:
C. x²+12x+36
hope this helped
-5/3 x(-1/8)weurEzzrtx
Answer:
-5/3 x (-1/8 )= 5/24 = 0.2083333
Step-by-step explanation:
find a coordinate of B' after a 180° rotation of the triangle about the origin and then a reflection about the x = 2.
Answer:
B' = (5, -4)
Step-by-step explanation:
The picture is illegible, but we think B is (1, 4).
After rotation 180°, both coordinates are negated, so the point is ...
B" = -(1, 4) = (-1, -4)
After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:
B' = (4 -(-1), -4)
B' = (5, -4)
A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units
Answer:
see below
Step-by-step explanation:
h(t)=−4.9t2+100t+325.
The independent variable is the one that we change
t which is in seconds
The dependent variable is the result
h(t) which is in meters
What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Find the number missing from the following equivalent fractions:4/11= ?/66
Answer:
24
Step-by-step explanation:
whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.
If 11 is multiplied by 6 to give 66.
then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.
Hope this helps. Good Luck
The missing number is 24.
please see the attached picture for full solution
Hope this helps..
Good luck on your assignment..
The perimeter of a square is 48 cm. What is the area in square
centimetres?
2 points
Answer:
144cm²
Step-by-step explanation:
What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13
Answer:
I think the first step is to group all the addition first and then you do the subtraction.
Answer:
Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.
Step-by-step explanation:
so ti will be;
2+7+5-8+13
27-8
21
I don’t know how to figure out the ratio of the areas. The area for HGEF is 60.5 (121/2) and the area for JKLM is 378.125 (3025/8). I know the areas are right because the previous questions says they are. Thank you so much!
Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
VX
What is the value of x in the equation below?
-3-(-8)-(-2)
4-13
Answer: 0
I didn't see an 'x' so I was very confused but I simplified and got "0"
Evaluate A^2-B^2 for A=3 and B=-4.
Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
Points:
(7, 10) and (7, 20)Slope-intercept form:
y= mx+bslope is:
m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,denominator of the fraction is zero, we can't divide by zero, so this line has no slope
----------
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
no, it has no slopeIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
yesAnswer:
D;
Step-by-step explanation:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Find the midpoint of the segment with the given endpoints.
(-1,-1) and (10,4)
[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
please help...................
Answer:
A, C, D, E
Step-by-step explanation:
sqrt(1.8)=1.34<1.8 (true)
sqrt(1.8)=1.34>1 (false)
sqrt(1.8)=1.34, sqrt(1.9)=1.38, 1.34<1.38 (true)
1.3<sqrt(1.8)=1.34<1.4 (true)
sqrt(1.9)+sqrt(1.8)=2.7>2 (true)
sqrt(1.9)-sqrt(1.8)=0.04>0.1 (false)
Answer:
a c d e
Step-by-step explanation:
don't come for me if it's wrong
How do I do this 3x + 5.2 = 2 - 5x
Answer:
x = -.4
Step-by-step explanation:
3x + 5.2 = 2 - 5x
Add 5x to each side
3x+5x + 5.2 = 2 - 5x+5x
8x +5.2 = 2
Subtract 5.2 from each side
8x +5.2 - 5.2 = 2-5.2
8x = -3.2
Divide each side by 8
8x/8 = -3.2/8
x = -.4
Answer:
x= -0.4
Step-by-step explanation:
3x+5.2=2-5x
Add 5x to both sides
8x+5.2=2
Subtract 5.2 from both sides
8x= -3.2
Divide both sides by 8
x= -0.4
I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.
What is the answer to this question 5 x 2/5 =?
Answer:
2
Step-by-step explanation:
5 * 2/5
Rewriting
5/1 * 2/5
5/5 *2/1
1*2
2
Answer:
The answer is 2
Step-by-step explanation:
Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?
Answer:
I believe the answer is four there is twice as many horses so you would double the amount of original goats.
The number of goats that went with 6 pigs and 10 horses is; 4 goats.
Let the number of horses be h.
Let the number of pigs be p
Let the number of goats be g.
We are told that horses vary directly as goats.
Thus;
h ∝ g
Thus; h = k1g - --(eq 1)
Also, we are told that horses varies inversely as pigs squared.
Thus;
h ∝ 1/p²
h = k2/p² - - - (eq 2)
Where k1 and k2 are constant of proportionality.
When there are 5 horses there are 2 goats. Thus;
5 = 2k1
k1 = 5/2
k1 = 2.5
When there are 10 horses, we will have;
10 = 2.5g
g = 10/2.5
g = 4
Read more at;https://brainly.com/question/6843518
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
35/70*100 = 50 miles
Step-by-step explanation:
Which is a correct name for the angle shown?
Answer:
CBA
Step-by-step explanation:
We can name the angle B
Or name the angle ABC
Or name the angle CBA
The vertex of the angle must be in the center
Answer:
The answer is CBA
Step-by-step explanation:
While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $
Answer:
$4.34
Step-by-step explanation:
Given the information:
The original price: $5Discount : 20% Tax: 8.5%We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
The tax amount she need to pay is:= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3
A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2
The answer is A.) 21x/^3y
Here is proof
pencils are sold in boxes of 10
erasers are sold in boxes of 14
A teacher wants to but the same number of pencils and erasers.
work out the smallest number of boxes of each item she should by.
Pencils:
Erasers:
Answer:
Pencils: 7 boxes
Erasers: 5 boxes
Step-by-step explanation:
She should buy 70 pencils and 70 erasers.
There are 7 pencil boxes for 70 pencils.
There are 5 eraser boxes for 70 erasers.
These are the smallest number of boxes she can buy without getting a fraction of a box.
How to solve 4x-c=k solve for x
Answer:
[tex]x = \frac{k + c}{4}[/tex]
Step-by-step explanation:
Given:
[tex]4x - c = k[/tex]
Solve for:
[tex]x[/tex]
Solution:
(1) Let's move all of components that do not contain [tex]x[/tex] (our target) to the right side (notice the change of sign of [tex]c[/tex] from negative to positive):
[tex]4x = k + c[/tex]
(2) Let's divide both sides of equation by 4:
[tex]\frac{4x}{4} = \frac{k + c}{4}[/tex]
(3) Now, we simplify the left side:
[tex]x = \frac{k + c}{4}[/tex]
This is the solution.
Hope this helps!
:)
Anybody please do e for me please
Answer:
1. 200 cm
2. 2463.01 cm
3. 1275 cm
4. 346.67 cm
5. 1526.81 cm
Step-by-step explanation:
volume for square is l times w times h
volume for cylinder is pi times r times 2 times h
volume for square pyramid is a2h/3
volume for rectangular pyramid is l times w times h divided by 3
A shirt originally cost $49.31, but it is on sale for $41.91. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
Answer:
8%
Step-by-step explanation:
The Cost price is = 49.31
The Selling price is = 41.91
The profit is =-7.4
The percentage decrease of the price of the shirt is hence=
=41.31/49.31 * 100
= 8%
Hence, 8% is the percentage of the decrease of the price of the shirt.
An entry level programmer's annual pay is $58.916 based on 52 weeks per year. Due to the economy, his company is having to cut back on
the number of weeks that it employs its programmers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how
much should the programmer expect his annual pay to decrease? Round your answer to the nearest dollar
Answer: $1133
Step-by-step explanation:
Programmer's pay for 51 weeks will be
(51 * 58916) / 52 = 57,783
Loss in salary
= 58916 - 57783 = 1133
WY is the perpendicular bisector of XZ. Y =
(I attached an image) Please help! Thank you!
Answer:
y=5
Step-by-step explanation:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
WY is the perpendicular bisector of XZ.
2x + 3 = 3x - 5
x = 8
5y - 2y = 7 + 8
y = 5
The value of y is 5
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
WY is the perpendicular bisector of XZ.
We see that,
2x + 3 = 3x - 5
3x - 2x = 3 + 5
x = 8
Now,
We have two right triangles.
∠WXY
WY² = WX² + XY² _____(1)
∠WYZ
WY² = WZ² + YZ² ______(2)
From (1) and (2) we get,
WX² + XY² = WZ² + YZ²
(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²
(2y + 7)² = (5y - 8)²
2y + 7 = 5y - 8
5y - 2y = 7 + 8
3y = 15
y = 5
Thus,
The value of y is 5
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ5
log base 4 (x^2) - log base 4 (x)
Answer:
[tex] log_{4}( {x}) [/tex]
Step-by-step explanation:
[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]
136 degrees is the same as what radians
Answer:
34/45 pi
Step-by-step explanation:
To change from degrees to radians, multiply by pi/180
136 * pi/180
34/45 pi
