Answer:
15 miles
Use the Pythagoras theorem
Answer: 15
Step-by-step explanation:
Let's start by stating what we are given
The perimeter is 36
One side length is 12
And the other given side is 9
Finally we have an unknown side x
The value of all the sides added together is the perimeter.
So add all the sides
12+9+x=36
21+x=36
Subtract both sides by 21
21-21+x=36-21
x=15
Calculate the zeros of the function f(x) = x2 – 12x + 35 by completing the square.
Answer:
x = 5, x = 7
Step-by-step explanation:
to find the zeros let f(x) = 0 , that is
x² - 12x + 35 = 0 ( subtract 35 from both sides )
x² - 12x = - 35
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 35 + 36
(x - 6)² = 1 ( take the square root of both sides )
x - 6 = ± [tex]\sqrt{1}[/tex] = ± 1 ( add 6 to both sides )
x = 6 ± 1
then
x = 6 - 1 = 5
x = 6 + 1 = 7
Increase £139 by 28%
Give your answer rounded to 2 DP
Answer:
£177.92
Step-by-step explanation:
To increase something by 28% would be to multiply the original value by 1.28:
So to increase £139 by 28%, we do:
£139 × 1.28 = £177.92
So this is our final answer
what geometric figure have 5-12 sides
A dodecagon is a twelve-sided polygon that's equally spaced around a circle and with all sides, the same length.
Can someone help me please
Answer:
Option A
Step-by-step explanation:
To simplify this fraction:
We subtract the powers:
[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]
[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216
These answers I wrote in the last line are options B,C and D.
Therefore Option A is not equivalent.
Are the triangles similar? How do you know?
Answer:
They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)
Have an amazing day!!
Please rate and mark brainliest!!!
Answer:
The triangles are similar
Step-by-step explanation:
To tell whether the triangles are similar or not we can compare their side lengths
if the triangle are similar then their side lengths' will be proportional:
MY/CD = AY/ED
10/5 = 8/4 cross multiply expressions
40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar
PLEASE HELP AS SOON AS POSSIBLE
6) The graphic shows the average number of points scored per game for
ten players in the NBA. What is the range value of the data set? A) 3.45 B) 3.5 C) 6.9 D) 7
Answer:
6.9
Step-by-step explanation:
I took the USATP hope it helps
I NEED HELP WITH THIS ALEKS TOPIC
subtraction/algebraic subtraction
What you have looks right, the reason for step 7 should just be algebraic subtraction since there is a DG on both sides that can be simplified out of the equation
I’m not sure what exact answer your question will allow, but it’ll be something along the lines of subtraction
The height of a poplar tree in feet at age t years can be modeled by the function h(t)=6+3ln(t+1) . use the model to predict the number of years when the height will exceed 18 feet.
The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
How to determine the number of years?The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
https://brainly.com/question/25953978
A rectangle that measures 1 foot by 5 feet.
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
36 feet
Answer:
C. 12 feet
Step-by-step explanation:
If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.
Adding all of the side lengths will give us the perimeter.
1 + 5 + 1 + 5 = 12
hope this helps :)
The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.
A. 7
B. 9
C. 11
D. 13
HELP PLEASE
Answer:
c. 11
Step-by-step explanation:
Bottom row: 6 cubes
middle row: 4 cubes
top row: 1 cube
11 cubes total.
what is this pls help
Can the numbers 24, 32, and 40 be the lengths of the three sides of a right triangle?
Answer:
no
Step-by-step explanation:
no
Yes
since the hypotenuese will be forty
24×24=576
32×32=1024
1024+576=1600
√40=1600 which makes YES be the correct answer
A student is working on a project for which he records the revolutions per minute (rpm) for a small electric motor as he increases the voltage in a circuit. Here is the table showing the results:
Voltage
(volt) Motor Speed
(rpm)
0 0
1 25
2 50
3 75
4 100
Create a graph showing the relationship in the table. Think about the title, axis labels, and whether you need to connect the points with a line.
Answer:
See below ↓
Step-by-step explanation:
The relation is :
Let y = Motor Speed and x = Voltagey = 25xTitle : Variation of Motor Speed with Applied Voltage
x-axis label : Voltage (volt)
y-axis label : Motor speed (rpm)
As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.
the side lengths of a triangle are 10,26 and 24 which one is the hypotenuse
a.24
b.26
c.10
d.50
The hypotenuse is the longer of the 3 sides:
answer: b.26
Answer:
[tex]\huge\boxed{\bf\: b. \: 26 \rightarrow hypotenuse }[/tex]
Step-by-step explanation:
Consider a right angled triangle with sides as 10, 26 & 24 units.
Here, we need to find the hypotenuse of the triangle.
The hyptenuse is the side which is opposite to the right angle (90°) & is also the longest side of the triangle.
Then, among the given values, we can clearly say that 26 > 10, 24.
Therefore, [tex]\boxed{\bf\: 26 \: units }[/tex] is the hypotenuse of the triangle with side lengths as 10, 26, 24 units.
[tex]\rule{150pt}{2pt}[/tex]
solve kx + 7 = 4 for x
Answer:
are we looking for x if we are its
Step-by-step explanation:
x= -3/k
Answer:
x = -3/k
Step-by-step explanation:
Solve kx+7=4 for x
kx+7=4
kx =4 - 7
kx = -3
Which answer choice correctly represents 0.513333… ?
find the area of the circumference of a circle with diameter 7yd use the value 3.14 as pie
Given,
Diameter of the circle = 7 ydHave to take the value of π as 3.14[tex] \: [/tex]
To Find,
The area and the circumference of a circle.[tex] \: [/tex]
Solution :
As, the diameter is 7 yd, therefore the radius will be 3.5 ydFirst of all, we'll find the circumference of the circle :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]
Now, we'll substitute the required values in the formula :
[tex]\\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 3.14 \times 3.5}}} \: \: \\ \\[/tex]
[tex] { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 3.14 \times 7}}} \: \: \\ \\[/tex]
[tex] { \longrightarrow \qquad{ \sf{ \pmb{ \: Circumference_{(circle)} = 21.98}}}} \: \: \\ \\[/tex]
Therefore,
The circumference of the circle is 21.98 yd[tex] \: [/tex]
Now, we'll find the area of the circle :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Area_{(circle)} = \pi r^2}}}}}} \: \: \bigstar \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times (3.5)}^{2} }}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times { \times 3.5 \times 3.5 }}}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ { \sf{ \: \: Area_{(circle)} = 3.14 \times 12 .25 }}}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{\pmb { \sf{ \: \: Area_{(circle)} = 38.465 }}}}}} \: \: \\ \\[/tex]
Therefore,
The area of the circle is 38.46 yd² approximately[tex]\sqrt{x}-2=\sqrt{x-10}[/tex]
Answer:
Exact Form:
49/4
Decimal Form:
12.25
Mixed Number Form:
12 1/4
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
√x-2=√x-10
x-4√x+4=x-10
-4√x+4=-10
-4√x=-10-4
-4√x=-14
√x=7
-
2
x= 49
---
44
Prove the identity.
(1 - sin’x) cscx = cosx cotx
=
Note that each Statement must be based on
the right of the Rule.
rules:
algebra, reciprocal, quotient, pythagorean, odd/even
[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\\ [1-sin^2(x)]csc(x)~~ = ~~cos(x)cot(x) \\\\[-0.35em] ~\dotfill\\\\\ [1-sin^2(x)]csc(x)\implies cos^2(x)csc(x)\implies cos^2(x)\cdot \cfrac{1}{sin(x)} \\\\\\ cos(x)\cdot \cfrac{cos(x)}{sin(x)}\implies cos(x)cot(x)[/tex]
Is this triangle acute, right or obtuse?
Answer:
acute
Step-by-step explanation:
Check using the Pythagorean Theorem:
A^2 + B^2 ≟ C^2
9^2 + 115 ≟ 11^2
196 > 121,
so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.
Find the Volume of 2 centimeter 2 centimeter 8 centimeters
Answer:
32 cm^3
Step-by-step explanation:
Hope it will help you
Answer:
32 cm^3
Step-by-step explanation:
V = L x W x H
V = 2 x 2 x 8
V = 4 x 8
V = 32
The answer would be 32cm^3
I hope it helps! Have a great day!
Your Murderer~
Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
15 mm
12 mm
square millimeters
Which quadratic function in vertex form has a vertex at (-2, 5) And passes through the point (2, -3)?
Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}
Step-by-step explanation:
y
=
−
19
9
(
x
+
3
)
2
+
5
Explanation:
If an equation representing a parabola is in vertex form such as
y
=
a
(
x
−
k
)
2
+
h
then its vertex will be at
(
k
,
h
)
. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form
y
=
a
(
x
+
3
)
2
+
5
If this parabola also passes through the point
(
0
,
−
14
)
then we can determine the
a
parameter.
−
14
=
a
(
0
+
3
)
2
+
5
9
a
=
−
19
a
=
−
19
9
So our equation in vertex form is
y
=
−
19
9
(
x
+
3
)
2
+
5
graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}
The graph below shows the relationship between the number of oranges purchased and the cost. Which statement about the unit rate of the graph is true?
The unit rate is 1.
The unit rate is13
The unit rate is 3.
The unit rate is 9.
Answer: The unit rate is 1/3
Step-by-step explanation:
The slope of the line, which also represents the unit rate, is 1/3.
From the information in the diagram, what is m ∠G?
Answer:
107⁰
Step-by-step explanation:
The m<g =107⁰
I hope it helped you
The measure of the angle ∠PGL will be equal to 107 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔPGL and ΔNHE,
PG = NH (given)
GL = HE (given)
If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.
∠PGL = ∠NHE
∠PGL = 107°
The measure of the angle ∠PGL will be equal to 107 degrees.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
There are only blue cubes, red cubes and yellow cubes in a box.
The table shows the probability of taking at random a blue cube from the box.
Colour
blue
red
yellow
Probability
0.4
The number of red cubes in the box is the same as the number
of yellow cubes in the box.
a) Complete the table.
(2)
There are 30 blue cubes in the box.
b) What is the total number of cubes in the box?
Answer:
a) 240 grams
b) 360 grams
c) 2 packs
Step-by-step explanation:
a) 1 biscuit = 4 grams of flour
60 biscuits = 240 grams of flour
Conclusion, 240 grams of flour is needed for 60 biscuits.
b) 240×3÷2 = 360 grams of butter
c) 360÷250
= 1.44
≈ 2 packs
Hope this helps =)
What is the volume of this container? (Image below)
Answer:
A. 56 in3
Step-by-step explanation:
Formula for Volume; LWH
L * W * H = 4* 4 * 2
16 * 2 = 32(3)
(second half of the container)
LWH = 3 * 4 * 2
12 * 2 = 24(3)
32 + 24 = 56(3)
Break into two cuboids
In cuboid
★V=LBHHence
#1
L=1B=2H=4Volume:-
1(2)(4)=8in³#2
L=4B=3H=4Volume:-
4(3)(4)48in³Total:
8+4856in³9. Determine if x + 1 is a factor of x ^ 4 - 4x ^ 2 - 4x - 1 Justify your answer.
Answer:
No
Step-by-step explanation:
x + 1 is not a factor of the polynomial because the remainder is 2 and not 0
Find the solutions to the rational equation:
x+2 2x-4
3
2
(2 pts)
A
X = 2
B
x = 6
с
x = -2
D
x = 4
Answer:
D
Step-by-step explanation:
[tex]\frac{x+2}{3}[/tex] = [tex]\frac{2x-4}{2}[/tex] ( cross- multiply )
3(2x - 4) = 2(x + 2) ← distribute parenthesis on both sides
6x - 12 = 2x + 4 ( subtract 2x from both sides )
4x - 12 = 4 ( add 12 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
[tex] \longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]
What to Find : -In this question we have to find the value of x .
Let's Get start Solving : -[tex]\longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]
So , by cross multiplying :
[tex] \longrightarrow \: 2(x + 2) = 3(2x - 4)[/tex]
Now , calculation left hand side as well as right hand side :
[tex]\longrightarrow \: 2x + 4 = 6x - 12[/tex]
Now , transposing 6x to left hand side and 4 to right hand side :
[tex]\longrightarrow \: 2x - 6x = - 12 - 4[/tex]
Now , solving left hand side and right hand side :
[tex]\longrightarrow \: - 4x = - 16[/tex]
As negative sign is present on both the side , so it will cancel out :
[tex]\longrightarrow \: \cancel - 4x = \cancel- 16[/tex]
Now we have :
[tex]\longrightarrow \: 4x = 16[/tex]
Now we are transposing 4 to right side and it will change into division from multiplication :
[tex]\longrightarrow \: x = \cancel \frac{16}{4} [/tex]
So we get :
[tex]\longrightarrow \: \green{ \boxed{ \bold x = 4}}[/tex]
Therefore value of x is 4 .Verification : -We are verifying our answer by putting value of x in given question :
[tex]\longrightarrow \frac{4 + 2}{3} = \frac{2(4) - 4}{2} \: [/tex]
Solving ,
[tex]\longrightarrow \: \frac{6}{3} = \frac{8 - 4}{2} [/tex]
Now subtracting 8 and 4 :
[tex]\longrightarrow \: \frac{6}{3} = \frac{4}{2} [/tex]
Now , dividing 6 by 3 and 4 by 2 :
[tex]\longrightarrow \cancel{\frac{6}{3} } = \cancel{\frac{4}{2} }[/tex]
We get :
[tex]\longrightarrow \: \bold{2 = 2}[/tex]
That means ,
[tex]\longrightarrow L.H.S = R.H.S[/tex]
Hence Verified .Therefore our answer is correct .#[tex] \sf{Keep \: Learning}[/tex]NEED HELP 100 POINTS TO ANSWER QUESTION PLEASE !!!!!!!!
Find the volume of the prism:
Question 5 options:
V = 125 in³
V = 100 in³
V = 120 in³
V = 105 in³