Answers
Answer:
x = √80
Step-by-step explanation:
Let's find the hypotenuse of the top side triangle.
Using the Pyth. Theorem:
Let y be the hypotenuse of the top side triangle:
2^2 + 4^2 = y^2
y = √20
Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .
Using the Pyth.Theorem again, we can find x:
x^2 + (√20)^2 = 10^2
x = √80 .
Related Questions
b. Convert quarts into gallons
20 quarts= X(1 quart)
= X (1
-
4
= Gallons
= Gallons
Answers
Answer:
5 Liquid Gallons
Step-by-step explanation:
To find this answer, divide the volume value of liquid quarts by 4, then you will get 5 as your liquid gallon answer.
PLEASE HELP!!!! Which quadratic equation is part of the solution process for solving this rational equation using the least common denominator?
Answers
Answer: for plato users
A is the correct answer
Step-by-step explanation:
I just took the test had 100%
The correct option is A. [tex]x^{2} -x-10=0[/tex].
Given quadratic equation [tex]\frac{2}{3x-6} -\frac{1}{3x+6} =\frac{1}{3}[/tex]
On solving, [tex]\frac{2(3x+6)-1(3x-6)}{(3x-6)(3x+6)} =\frac{1}{3}[/tex]
Further, [tex]\frac{6x+12-3x+6}{9x^{2} -6^{2} } =\frac{1}{3}[/tex]
[tex]\frac{3x+18}{9x^{2} -36} =\frac{1}{3}[/tex]
Taking 3 common from numerator and 9 common from denominator, we have
[tex]\frac{3(x+6)}{9(x^{2} -4)} =\frac{1}{3}[/tex]
[tex]\frac{(x+6)}{3(x^{2} -4)} =\frac{1}{3}[/tex]
[tex]\frac{x+6}{x^{2} -4} =1[/tex]
[tex]x+6=x^{2} -4[/tex]
On rearranging in decreasing powers of x we get,[tex]x^{2} -x-10=0[/tex].
Hence on solving, We get [tex]x^{2} -x-10=0.[/tex]
For more details on Quadratic equation follow the link:
https://brainly.com/question/17177510
Sid Upp is four years younger than his brother Tip. Let x stand for Tip's age . Write an equation stating that Sid's age is 32.
Answers
Answer:
x+4=36
Step-by-step explanation:
you would subtract 4 on each side
x+4=36
-4 -4
x=32
Please help. I will give brainliest and all my points.
Answers
Answer alternate exterior angles theorem
Step-by-step explanation
just do it
MATHEMATICAL CONNECTIONS The volume of a cylinder is given by V=pi r^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder. Find the dimensions of the cylinder. the radius is h-3 and the volume is 25h*pi
Answers
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=h-3\\ V=25h\pi \end{cases}\implies 25h\pi =\pi (h-3)^2 h \\\\\\ \cfrac{25h\pi }{\pi h }=(h-3)(h-3)h\implies 25=\stackrel{F~O~I~L}{h^2-6h+9}\implies 0=h^2-6h-16 \\\\\\ 0=(h-8)(h+2)\implies \blacktriangleright h= \begin{cases} 8~~\checkmark\\ -2 \end{cases} \blacktriangleleft ~\hfill \blacktriangleright \underset{radius}{\stackrel{8~~ - ~~3}{5}} \blacktriangleleft[/tex]
notice, we didn't use h = -2, because the height cannot be a negative value.
12. The thickness of a plywood is 11 mm.
(i) How many centimetres is this?
(ii) what part of a metre is mm
Answers
Answer:
I) 1.1cm
II) 0.001m = 1mm
Step-by-step explanation:
I)
10mm = 1 cm
11mm = ?
? = (11 x 1)/10 =11/10 =1.1
II)
1000mm = 1m
Milli represents 10^-3 = 0.001
1 millimeter = 1 x 0.001 =0.001m
ANSWER QUICKLYYYYYY!!!
Answers
Answer:
AC = 16.5
AE = 9
Step-by-step explanation:
Connect AC and BE
Note m∠ACD = m∠ACB, (both face arc BD)
ΔACD ~ ΔABE
AD : AB = AC : AE
6 : 4 = AC : (6 + 5)
3 : 2 = AC : 11
2AC = 3*11 = 33
AC = 16.5
AE = 9
Volume: The base of a pyramid is a rectangle with a length of 3 centimeters and a width of 6 centimeters. If the height of the pyramid is 12 centimeters, what is the volume of the pyramid?
Answers
Answer:
72 cm³
Step-by-step explanation:
Volume of a pyramid = Area of base * height / 3
= 3 * 6 * 12/3 = 72 cm³
Natalie has 28 erasers she divided some of her erasers equally among 3 friends Natalie has 10 erasers left how many erasers did each friend get
Answers
Answer:
Each friend gets 6 erasers
Step-by-step explanation:
Start by subtracting the number of erasers Natalie has left from 28 to get 18, then divide 18 by 3 to get 6. Each friend gets 6 erasers.
Hopefully this helps - let me know if you have any questions!
rearrange so u Rearrange the equation so www is the independent variable.
−2u+6w=9
Answers
w = 9 + 2u / 6
Answer:
w=9+2u/6
Step-by-step explanation:
-2u+6w=9
+2u on both sides
6w=9+2u
/6 on both sides
w=9+2u/6
have this done for brainliest
Answers
Answer:
HEYYYYY HOW ARE YOUUUU :)
Step-by-step explanation:
5x - 5 + 2x 6: PEMDAS
5x - 5 + 2x + 6: order of operation??
5x + 2x - 5 + 6: Combine like terms
7x + 1: Your answer...
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT AND EXPLAIN PLEASE
Answers
Answer:
48 degrees
Step-by-step explanation:
the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.
Please help. I’ll mark you as brainliest if correct!
Answers
Answer:
y=1/3x +16/3
Step-by-step explanation:
m=(y2-y1) / (x2-x1)
=(6-5) (2- -1)
=1/3
Substitute in m and either point into the point slope form
y=m(x-x1) + y
y=1/3(x- -1) +5
y=1/3(x+1) +5
Now lets distribute the 1/3 to and combine the constants to put the answer in standard form
y=1/3x + 1/3 + 5
y=1/3x +1/3 + 15/3
y=1/3x +16/3
PLEASE HELP ME ASAP
Its not that hard im just tired
Answers
Answer:
combine like terms; 15.4z - 12
Diane walked 4/10 mile x 5 days this week. How far did Diane walk?
Answers
answer: 2
(4/10) * 5 = 2
she walk 2 miles per day
Is this scientific notation
42,060=4.206 x 10 to the 4th
Answers
Answer:
yes it is scientific notation
4) The length of a rectangle is double its width. Its perimeter is 33cm. How long is its
width?
Answers
5.5 cm
Step-by-step explanation:
Let x be the width of the rectangle.
Since the length is double the width, the length would be 2x.
x can be found by solving the perimeter equation. The perimeter of the rectangle can be found by the equation:
[tex]p = 2(l + w)[/tex]
[tex]33 = 2(2x + x)[/tex]
[tex]33 \div 2 = (2x + x)[/tex]
[tex]16.5 = 3x[/tex]
[tex]16.5 \div 3 = x[/tex]
[tex]5.5 = x[/tex]
Therefore, the width of the rectangle is 5.5 cm.
pls give me some examples thank you!
DIRECTION: Look around your kitchen and draw at least two real objects that are plane figures and two real object that are solid figures. Put your drawings on the boxes provided below.
Solid Figures;
Plane figures;
Answers
Answer:
solid figure: refrigeration
plane figure: table
Answer:
A plane figure is a geometric figure that has no thickness. It lies entirely in one plane.
A solid figure is a three-dimensional (3D) shape or geometric figure that has length, width and height.
Plane figure
Place mat (rectangle)
Dish cloth (square)
Plate (circle)
Solid figure
Can of food (cylinder)
Washing sponge (cuboid)
Orange (sphere)
Marcus wants to buy a car for $8,000. He currently has saved $3,450. His job allows him to save $225a week (w). What equation represents his savings (S) to buy a car?
Answers
Answer:
Im guessing your asking how many weeks he needs to work, he needs to work 20.2 weeks to get enough for the car. You can easily make a equation with this answer comment on this if you want me to make the equation for you
Step-by-step explanation:
Write and equivalent expression for 88 + 16x + 8.
X = 4
Answers
Answer:
88+64+8
Step-by-step explanation:
16*4 =64 and you can just replace that with the x.
The area in square feet of a rectangular field is
x2 – 120x + 3500. The width, in feet, is x-50. What is the
length, in feet?
Answers
Answer:
Length in feet: x-70
Step-by-step explanation:
Use factorization to find the length
Area = X^2-120x+3500
Area= length x width.
Area= L x (x-50)= (x-___) (x-50)
To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.
(x-70)(x-50) = x^2-120x+3500.
A sample was taken of dogs at a local dog park on two random days. The counts are displayed in the table below. If there are estimated to be 50 dogs at the park at any given time, which proportion could be used to find the average number of shepherd mixes at the park at any given time?
Dog Park Sample
Sample 1
Sample 2
Labrador Retriever
4
Labrador Retriever
5
Shepherd Mix
7
Shepherd Mix
9
Chihuahua
3
Chihuahua
5
Poodle
1
Poodle
2
Australian Cattle Dog
2
Australian Cattle Dog
4
StartFraction 8 over 21 EndFraction = StartFraction x over 50 EndFraction
StartFraction 16 over 21 EndFraction = StartFraction x over 50 EndFraction
StartFraction 8 over 50 EndFraction = StartFraction x over 42 EndFraction
StartFraction 7 over 9 EndFraction = StartFraction x over 50 EndFraction
Answers
Answer:
a
Step-by-step explanation:
You are creating a 25:1 scale model of our classroom and find that our classroom has a length of 30 feet. What is the length of the classroom wall in the scale model in inches?
Answers
Answer:
1.2 feet
Step-by-step explanation:
25 : 1 = 30 : x
x = 30/25 = 6/5 = 1.2 feet
Four years ago, you invested $1000 in an account that returns 5.1% annually. The table shows the value of your investment
at the end of each year.
Time (in years)
1
2
Value (in dollars)
$1051.00
$1104.60
$1160.94
$1220.14
3
4
Does the data represent a linear function? Why or why not?
a. Yes, it appears on a straight line.
C. Yes, the average rate of change is constant.
b. No, it does not appear on a straight line.
d. There is not enough information to determine
whether this is a linear function,
Please coloct the boot
Answers
Answer:
It B
Step-by-step explanation:
The data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
Four years ago, you invested $1000 in an account that returns 5.1% annually.
The table represents the value of your investment at the end of each year.
Time (in years) Value (in dollars)
1 $1051.00
2 $1104.60
3 $1160.94
4 $1220.14
Plot the point (x, y) on the coordinate plane:
From the graph, as we can see (1, $1051.00) does not lie on the line.
Thus, the data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ2
Which is the value of the smaller zero defined by the function f (x) = 25x² – 4?
Answers
Let's see
[tex]\\ \sf\longmapsto 25x^2-4=0[/tex]
[tex]\\ \sf\longmapsto 25x^2=4[/tex]
[tex]\\ \sf\longmapsto (5x)^2=2^2[/tex]
[tex]\\ \sf\longmapsto 5x=2[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{5}[/tex]
Smallest zero 2/5is 3 8/33 equivalent to the decimal 3.24 (repeating)
Answers
Answer:
Yes it is
Step-by-step explanation:
8 ÷ 33 = .242424( infinite )
Add the beginning 3 to it and you get 3.24 (repeating)
Hope this helps.
The value of each expression if x=12
3x
Answers
Answer:
3*12=36
hope thats the answer
[tex] \tan(x) [/tex]
integrate ...
Answers
"transportation planning should be integrated with energy policy"
The smaller of the two containers has a capacity of 150 gallons. When it is $\frac{4}{5}$ full, its contents are emptied into a larger container, filling exactly $\frac{2}{3}$ of it. What is the capacity, in gallons of the larger container?
Answers
Answer:
180 gallons
Step-by-step explanation:
The smaller container has 150 gallons.
Now the large container is filled with the 4/5 of the smaller container.
So if the full volume of the small container is 150 gallons so the 4/5 of it can be calculated as, 4/5*150=120 gallons.
Answer:
hoi
Step-by-step explanation:
5. Simplify the expression and find its value when p= 4 and q = -5:
(i) 3 ( p2q + pq2 – pq ) – 6 pq + 3pq2
Answers
Step-by-step explanation:
[tex] \bf \blue{ \boxed{ \bf p = 4 \: \: and \: \: q = - 5 \Rightarrow pq = 4 \times ( - 5) = - 20}} [/tex]
3(p2q + pq2 - pq) - 6pq + 3pq2 =
3[-20 × 2 + (-20) × 2 - (-20)] - 6 × (-20) + 3 × 2 × (-20) =
3[-40 + (-40) + 20] - 6 × (-20) + 3 × 2 × (-20) =
3(-40 - 40 + 20) - 6 × (-20) + 3 × 2 × (-20) =
3(-80 + 20) - 6 × (-20) + 3 × 2 × (-20) =
3 × (-60) - 6 × (-20) + 3 × 2 × (-20) =
-180 + 120 + 6 × (-20) =
-180 + 120 + (-120) =
-180 + 120 - 120 =
-60 - 120 = -180
Answer:
-180
Step-by-step explanation:
3 ( p2q + Pq2 - pq ) - 6 pq +3pq2
3 [(4)(2)(-5) + (4)(-5)(2) - (4)(-5)] -6 (4)(-5) +3(4)(-5)(2)
3(-40-40+20) + 120 -120
3(-60) +0
-180+0
-180