Answer: A. 0.09
Step-by-step explanation:
So if you subtract 45% from 80% and thats when you get 0.09
Step by step answer using factorization method 3p^2+15pq+18q^2
Answer:
3(p + 2q)(p + 3q)
Step-by-step explanation:
Factor out 3 from each term
3(p² + 5pq + 6q²) ← factor the quadratic by
Consider the factors of the q² term which sum to give the coefficient of the pq- term
The factors are + 2 and + 6, since
2 × 3 = 6 and 2 + 3 = 5, hence
3p² + 15pq + 18q²
= 3(p + 2q)(p + 3q)
The quadratic expression [tex]3p^2+15pq+18q^2[/tex] can be factorized by first taking out a factor of 3, then factorizing the remaining quadratic expression. The result is 3(p+2q)(p+3q).
Explanation:To answer your question about factorizing the quadratic expression [tex]3p^2+15pq+18q^2,[/tex] it's important we understand the factorization process.
First, we can take out a factor of 3.
So,[tex]3p^2+15pq+18q^2[/tex] = 3([tex]p^2+5pq+6q^2[/tex])
Now, we factor the quadratic expression [tex]p^2+5pq+6q^2.[/tex]
To factor it, we need to look for two numbers that multiply to 6 and add to 5. The numbers 2 and 3 fulfill this property. Therefore, we can write [tex]p^2+5pq+6q^2[/tex] = (p+2q)(p+3q)
So the factorization of the original expression is 3(p+2q)(p+3q)
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Is the following shape a right triangle? How do you know?
Answer:
Yes
Step-by-step explanation:
A has a right angle because A on the triangle is turned at a 90 degree angle.
Answer:
B) Yes , two sides are perpendicular and side length fir the Pythagorean theorem.
Step-by-step explanation:
Given : A triangle on the graph.
To find : Is the following shape a right triangle? How do you know.
Solution : We have given that
A triangle ABC We need to explain is it right triangle or not.
Right triangle : A triangle which have two sides perpendicular or one of the angle is 90 degree.
We can see from the graph side AB and AC are perpendicular to each other.
Therefore, B) Yes , two sides are perpendicular and side length fir the Pythagorean theorem.
Given: PK and PF tangent to circle k(O) K and F points of tangency
Prove: m∠P=m∠EK
Answer:
See explanation
Step-by-step explanation:
If PK and PF are tangent to the circle, then the radii OK and OF are perpendicular to the lines PK and PF respectively.
Consider quadrilateral PFOK. The sum of the measures of all interior angles in quadrilateral PFOK is equal to 360°. Since OK and OF are perpendicular to the lines PK and PF, you have that
∠FOK+90°+∠KPF+90°=360°,
∠FOK=360°-90°-90°-∠KPF=180°-∠KPF.
Angles FOK and KOE are supplementary angles, then
∠KOE=180°-∠FOK=180°-(180°-∠KPF)=∠KPF.
Since angle KOE is central angle, the arc EK has the same measure as angle KOE and as angle KPF.
Given [tex]\(PK\) and \(PF\)[/tex] tangents to circle [tex]\(O\),[/tex] angles [tex]\( \angle P \) and \( \angle EK \)[/tex] are equal by the properties of tangents.
To prove that [tex]\( m\angle P = m\angle EK \)[/tex] given the diagram, we can use properties of tangents and circles. Here is a step-by-step proof:
1. Identify the given information:
- [tex]\( PK \) and \( PF \)[/tex] are tangents to circle [tex]\( k(O) \) at points \( K \) and \( F \),[/tex] respectively.
- [tex]\( O \)[/tex] is the center of the circle.
- [tex]\( PK \) and \( PF \)[/tex] are tangent to the circle, meaning they touch the circle at exactly one point.
2. Use properties of tangents:
- A tangent to a circle is perpendicular to the radius at the point of tangency.
- Thus, [tex]\( OK \perp PK \) and \( OF \perp PF \).[/tex]
3. Mark the right angles:
[tex]- \( \angle OKP = 90^\circ \)[/tex]
[tex]- \( \angle OFP = 90^\circ \)[/tex]
4. Connect the points to form a triangle:
- Draw the line segment [tex]\( OP \).[/tex]
5. Use the exterior angle theorem:
- In [tex]\(\triangle OKP\),[/tex] [tex]\( \angle OPK \)[/tex] is an exterior angle for [tex]\(\angle OKP\) and \(\angle PKO\).[/tex]
- Since [tex]\( \angle OKP = 90^\circ \)[/tex] and [tex]\(\angle PKO\)[/tex] is another angle in the triangle, we have:
[tex]\[ \angle OPK = 180^\circ - (\angle OKP + \angle PKO) = 180^\circ - (90^\circ + \angle PKO) = 90^\circ - \angle PKO. \][/tex]
6. Similarly, in [tex]\(\triangle OFP\):[/tex]
-[tex]\( \angle OFP = 90^\circ \) and \(\angle PFO\)[/tex] is another angle in the triangle.
- Using the same logic as before:
[tex]\[ \angle OEP = 180^\circ - (\angle OFP + \angle PFO) = 180^\circ - (90^\circ + \angle PFO) = 90^\circ - \angle PFO. \][/tex]
7. Note that [tex]\( \angle OKP = \angle P \)[/tex] and [tex]\( \angle OFP = \angle EK \):[/tex]
- By the property of the tangents from the same external point, [tex]\( PK = PF \).[/tex]
- [tex]\( \angle PKO \) and \( \angle PFO \)[/tex] are complementary to [tex]\(\angle P\)[/tex] and [tex]\(\angle EK\)[/tex] respectively.
Therefore, it follows that:
[tex]\[ m\angle P = m\angle EK \][/tex]
Thus, the proof is complete.
X=-42 what slope if a line is perpendicular to it and what slope of the line is parallel
Answer:
Parallel is undefined
Perpendicular is 0
Step-by-step explanation:
The line x = -42 is a vertical line through the x-axis. As such its slope is undefined. All parallel lines have the same slope and will also be undefined. Perpendicular lines will be lines horizontal through the y-axis. This means the slope of any perpendicular line to it will be 0.
Jules add a border around his mirror. The mirror is shaped like a triangle each side is 35 cm long how long is the border
Answer:
The border is 105 cm long
Step-by-step explanation:
The length of the border of the mirror is 105 cm.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The mirror is in the shape of a triangle.
Each side of the triangle.
Now,
The perimeter of the mirror.
= 3 x side
= 3 x 35 cm
= 105 cm
Thus,
The length of the border is 105 cm.
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Give a simple and explained answer: 2. A bag of trail mix weighs 2 lb. By weight, 18% is oats.
(a) Write a percent proportion that can be used to find the weight of the oats in the trail mix.
(b) What is the weight of the oats in the trail mix?
Answer:
oats = (18/100)*(2 lb) = 0.36 lb
Step-by-step explanation:
If the sum of two congruent lengths equal the length of a third side,then the triangle created is isosceles. Is this a true statement?
Answer:
No; statement is FALSE.
Step-by-step explanation:
If two congruent (equal length) sides of a triangle sum up to the length of the third side, we have a flat (2-dimensional) figure that is NOT a triangle. So this statement is FALSE.
then
rue?
6. Use the coordinates to prove the most
precise classification for the
quadrilateral.
A(-3,1), B(0,5), C(4,2), D(1,-2)
Answer:
Square
Step-by-step explanation:
You can use the distance formula from one point to another to find that the side lengths are all equals.
You can also graph it and see that it is a triangle.
With these coordinates, this shape is most likely a square. You can also tell from the distance between each point as they are equal. Graphing calculator: Desmos.com
What is the slope of the line that passes through point (3,2) and point (6,11)?
Answer: 3
The work is shown in the attached sheet! :)
Answer:
slope is 3
Step-by-step explanation:
Whats the square root of 42???
Answer:
6.48074069841
Step-by-step explanation:
We can enter this on a calculator or can be estimated
Can anybody help me please
Answer:
Place one dot at (0,2) and then make the a dot where the line touches a grid square every 2 times
Step-by-step explanation:
The y intercept is 2 and the slope is 2
Answer:
Place one dot at (0,2) and then make the a dot where the line touches a grid square every 2 times
Step-by-step explanation:
When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The original volume is multiplied by 4. C) The original volume is multiplied by 8. D) The original volume is multiplied by 10.
Answer:
C
Step-by-step explanation:
The volume (V) of a sphere is calculated using the formula
V = [tex]\frac{4}{3}[/tex]πr³
If the radius is doubled, that is r = 2r , then
V = [tex]\frac{4}{3}[/tex]π (2r )³
(2r)³ = 8r³, thus the volume is multiplied by 8
i need help with Algebra. is this a good site?
Answer:
Yes! I use this site all the time and my questions always get answered quickly!
Step-by-step explanation:
Final answer:
Brainly can be a good resource for interactive learning in Algebra. Key areas of study include algebraic expressions, equations, and graphing polynomials. Collaborative activities and practice are recommended for mastering these concepts.
Explanation:
It seems like you're looking for a good online resource to help with Algebra. Brainly can be a good choice for interactive learning and assistance.
When studying Algebra, some key areas you will explore include algebraic expressions, equations, exponents, number patterns, functions, finance and growth, trigonometry, analytical geometry, and statistics.
An excellent way to develop your algebra skills is through practice and application. This includes simplifying algebraic expressions by eliminating terms wherever possible and always checking if your answer is reasonable. Also, engaging in group activities can enhance your understanding as you discuss and solve problems collaboratively.
When learning about graphing polynomials, understanding how the shape of the curve changes as the constants are adjusted is crucial. This graphical perspective reinforces the algebraic concepts taught and provides a visual aid in comprehending the material.
Can someone help me Solve these problems :(((
1.x+ 20 = -32
2.w+10=25
3.7.2 + b = 12
4.5.3 + s = 15
5.p + (-25) = -10
6.m + (-1.6) = -4.8
x=-52
w=15
b=4.8
s=9.7
p=15
m=3.2
Q1.
[tex]x + 20 = - 32[/tex]
Add -20 to both sides of the equation.
[tex]x + 20 - 20 = - 32 - 20[/tex]
Simplify
[tex]x = - 52[/tex]
Q2.
[tex]w + 10 = 25[/tex]
Add -10 to both sides of the equation.
[tex]w + 10 - 10 = 25 - 10[/tex]
[tex]w = 15[/tex]
Q3.
[tex]7.2 + b = 12[/tex]
Add -7.2 to both sides of the equation.
[tex] - 7.2 + 7.2 + b = 12 - 7.2[/tex]
[tex]b = 4.8[/tex]
Q4.
[tex]5.3 + s = 15[/tex]
Add -5.3 to both sides to get,
[tex]s + 5.3 - 5.3 = 15 - 5.3[/tex]
Simplify:
[tex]s = 9.7[/tex]
Q5.
[tex]p + ( - 25) = - 10[/tex]
Add 25 to both sides,
[tex]p - 25 + 25 = - 10 + 25[/tex]
[tex]p = 15[/tex]
Q6.
[tex]m + - 1.6 = -4.8[/tex]
Add 1.6 to both sides of the equation;
[tex]m + - 1.6 + 1.6 = - 4.8 + 1.6[/tex]
[tex]m = - 3.2[/tex]
which of the following properties is ALWAYS TRUE for a parallelogram?
Answer:
all sides are parallel to the other,has four sides
Step-by-step explanation:
Write a polynomial expression that represents the area of the trapezoid [a= 1/2h(b1+b2)]
Answer:
1/2*(x+1)[(6x+5)+(4x+7)}
Step-by-step explanation:
The area of a trapezoid can be expressed as a polynomial using the formula a = 1/2h(b1+b2), where 'a' is the area, 'h' is the height, and 'b1' and 'b2' are the base lengths. If h=x, b1=y, and b2=z, then the polynomial expression for the area is a=0.5xz(y+z).
Explanation:The area of a trapezoid can be expressed in the form of a polynomial by using the formula a = 1/2h(b1+b2), where 'a' represents the area, 'h' is the height of the trapezoid, and 'b1' and 'b2' are the lengths of the parallel sides. Expressing this as a polynomial expression, we could have variables in place of the height and side lengths, depending on the specific trapezoid. For example, if h = x, b1 = y, and b2 = z, then the polynomial expression for the area of the trapezoid becomes a = 0.5xz(y+z).
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Why did the actor jump out of a window in times square
Answer:
Step-by-step explanation:
To end his suffering
Answer:
He wanted to make a hit on broadway.
Step-by-step explanation:
A triangular pyramid has a height of 18 yards and a base with an area of 330 square yards. What is the volume of the pyramid?
A. 660 yd
B. 2,970 yd
C. 1,980 yd
D. 5,940 yd
Final answer:
The volume of the triangular pyramid is calculated using the formula V = 1/3 × base area × height. With a base area of 330 square yards and height of 18 yards, the volume is found to be 1,980 cubic yards. Therefore, the correct answer is C.
Explanation:
The volume of a triangular pyramid can be calculated using the formula V = 1/3 × base area × height. Given that the base area is 330 square yards and the height of the pyramid is 18 yards, we can calculate the volume by substituting these values into the formula: V = 1/3 × 330 × 18 = 1980 cubic yards. Therefore, the correct answer is C. 1,980 yd³.
The volume of the triangular pyramid is 1,980 cubic yards, making the correct answer option C.
To find the volume of the triangular pyramid, we first need to determine the area of the base triangle. Since the base has an area of 330 square yards, we can use the formula for the area of a triangle, which is 1/2 * base * height. Let's denote the base of the triangle as b and the height as h. We can rearrange the formula to solve for b:
[tex]\[ 330 = \frac{1}{2} \times b \times h \][/tex]
Given that the height of the pyramid is 18 yards, we can plug this value in and solve for the base:
[tex]\[ 330 = \frac{1}{2} \times b \times 18 \][/tex]
330 = 9b
[tex]\[ b = \frac{330}{9} \][/tex]
b = 36.67
Now, we have the base length of the triangle. Next, we can calculate the volume of the pyramid using the formula for the volume of a pyramid, which is [tex]\( \frac{1}{3} \times base\ area \times height \)[/tex]. Let's denote the volume as V:
[tex]\[ V = \frac{1}{3} \times 330 \times 18 \][/tex]
V = 1980
So, the volume of the pyramid is 1980 cubic yards. Therefore, the correct answer is option C: 1,980 yd.
As shown on the diagram, a regular pyramid has a square base whose side measures 6 inches. If the altitude of the pyramid measures 12 inches, it’s volume, in cubic inches is
Answer:
144 in³
Step-by-step explanation:
The volume of a pyramid of base area A and height h is
V = (1/3)(A)(h).
Here,
V = (1/3)(6 in)²(12 in) = 144 in³
The volume of the given pyramid with a square base whose side measures 6 inches and the altitude of the pyramid measures 12 inches is 144 cubic inches. The value is obtained by applying the formula for the volume of the pyramid as [tex]\frac{1}{3} B_{A}h[/tex].
The volume of the pyramid:The volume of the pyramid is given by the formula:
[tex]V=\frac{1}{3} B_{A}h[/tex]
Where,
[tex]B_A[/tex] is the area of the base of the pyramid and
h is the height or altitude of the pyramid
Calculating the Volume:As shown in the diagram,
The pyramid has a square base whose side measures 6 inches and the altitude of the pyramid is 12 inches
Thus,
Area of the square base,
[tex]B_A =a^{2}[/tex]
⇒ [tex]B_A=6^2[/tex]
⇒ [tex]B_A=36[/tex] sq. inches
Height of the pyramid h = 12 inches
On substituting the values in the formula,
[tex]V=\frac{1}{3}B_Ah[/tex]
⇒ [tex]\frac{1}{3}[/tex] × 36 × 12
⇒ 4 × 36
⇒ 144 cubic inches
Therefore, the volume of the given pyramid is 144 cubic inches.
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Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)
Answer:
X=2 F=6 This works for both equations. Hope this helps!
Step-by-step explanation:
Answer:
The exponential function [tex]f(x)=2(3^x)[/tex] has an initial value of 2. The correct option is 1.
Step-by-step explanation:
The general form of an exponential function is
[tex]g(x)=ab^x[/tex]
Where, a is initial value and b is growth or decay factor.
In option 1, the given function is
[tex]f(x)=2(3^x)[/tex]
Here, the initial value is 2 and growth factor is 3. Therefore the correct option is 1.
In option 2, the given function is
[tex]f(x)=3(2^x)[/tex]
Here, the initial value is 3 and growth factor is 2. Therefore option 2 is incorrect.
Which two blue rectangles have the same total area as the red rectangle
D is the correct answer
Answer: D
Hope this Helps!
If an image of a triangle is cungruent to the ppre-image then the scale factor of the dilation must be n
Answer:
1
Step-by-step explanation:
it would be one because then it wouldn't have been dilated cause dilation is a non-rigid transformation and would no have kept the congruence of the original shape.
Plz help i need it!!
Answer: c) 19,807
Step-by-step explanation:
[tex]A=A_o\cdot e^{kt}\\\\\bullet A_o\text{ is the initial population}\\\bullet \text{k is the rate of decrease}\\\bullet \text{t is the number of years after 2010}\\\\A=22,000\cdot e{(-0.021)(5)}\\.\ =22,000\cdot e^{-0.105}\\.\ =19,807[/tex]
17........................
Answer:
Step-by-step explanation:
First, add 3 to both sides:
-5 = -6∛(x²)
Next, divide both sides by -6, to isolate ∛(x²):
5/6 = ∛(x²)
Eliminate the radical by cubing both sides:
5³
---- = x²
6³
Finally, take the square root of both sides. This will isolate x. There will be two roots: one +, the other -.
x = ±√(5³/6³)
This simplifies to: ± (5/6)∛(5/6).
Answer:
a. [tex]0.76,-0.76[/tex]
Step-by-step explanation:
The given equation is;
[tex]-8=-3-6\sqrt[3]{x^2}[/tex]
Add 3 to both sides of the equation to get;
[tex]-8+3=-3+3-6\sqrt[3]{x^2}[/tex]
[tex]\Rightarrow -5=-6\sqrt[3]{x^2}[/tex]
Divide both sides by -6.
[tex]\Rightarrow \frac{-5}{-6}=\sqrt[3]{x^2}[/tex]
[tex]\Rightarrow \frac{5}{6}=\sqrt[3]{x^2}[/tex]
Cube both sides of the equation;
[tex]\Rightarrow (\frac{5}{6})^3=x^2[/tex]
[tex]\Rightarrow \frac{125}{216}=x^2[/tex]
Take square root of both sides
[tex]\pm \sqrt{\frac{125}{216}}=x[/tex]
[tex]\pm 0.76=x[/tex]
[tex]\therefore x=0.76,-0.76[/tex]
find the value of y when x equals 0 , -3x-9y=36
Answer:
-3x - 9y = 36
If x = 0
Step-by-step explanation:
1. Plug 0 to x:
-3(0) - 9y = 36
2. Simplify
0 - 9y = 36
3. Cross out the 0 to make the question faster to solve, which now you are left with:
-9y = 36
4. Divide both sides by -9:
-9y/-9 = 36/-9
5. Simplify:
y = -4 <--------Answer
Hope this Helped!!!!!
~Shane
The value of y when x equals 0 in the equation -3x - 9y = 36 is -4.
To find the value of y when x equals 0 in the equation -3x - 9y = 36, we can simply substitute 0 for x and solve for y.
Substituting 0 for x, the equation becomes:
-3(0) - 9y = 36
This simplifies to:
-9y = 36
Dividing both sides of the equation by -9, we get:
y = 36 / -9
This gives us:
y = -4
Therefore, the value of y when x equals 0 is -4.
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equation can be used to model the situation? Check all that apply
A. X=1/2y-3
B. 2x-y=-6
C. 2x-y=-3
D. X=1/2(y-3)
E. Y=10(x-1)
Answer:
A and E
Step-by-step explanation:
thats what it is
pleass answer the following
The picture is blurry I could help but I can’t really see it
if f(x)=3x+5/x, what is f9a+2)
A. 3(a+2)+8/a+2
B. 3(f(a))+5/f(a)+2
C. 3a+5/a+2
Answer:
b
Step-by-step explanation:
For this case we have a function of the form [tex]y = f (x)[/tex], where:
[tex]f (x) = 3x + \frac {5} {x}[/tex]
You want to find the value of the function to:
[tex]x = a + 2[/tex]
That is to say:
[tex]f (a + 2) = 3 (a + 2) + \frac {5} {a + 2}[/tex]
Rewriting we have:
[tex]f (a + 2) = 3a + 6 + \frac {5} {a + 2}[/tex]
ANswer:
[tex]f (a + 2) = 3 (a + 2) + \frac {5} {a + 2}[/tex]
Can anyone find what A = ______ m square?
Answer:
B. 16pi
Step-by-step explanation:
Lets input our radius int the formula. pi*4^2. 4^2 is 16 so the answer is 16pi.
How much of the purchase will they have to borrow
Answer:
They will have to borrow $ 31,211
(23% of the purchase price)
Step-by-step explanation:
Total price : $135,700
Down payment: 20% of total price
Closing costs : 3% of total price
The Colburns will have to borrow 23% of the total price.
0.23*$135,700 = $ 31,211