Answer:
92%
Step-by-step explanation:
The part that is fiction over the total is the fraction that is fiction
4600/5000 = 23/25
Change this to a percent
23/25 * 4/4
92/100
92%
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Question 3 options:
AB=RS
AB=2RS
ΔABC~ΔRST
△ABC≅ΔRST
m∠BAC=m∠SRT
m∠BAC=2m∠SRT
The given reflection transformation is a rigid transformation, such that the dimensions are preserved
The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;
AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRTReasons:
The given parameters are;
Triangle ΔABC is reflected across the line y = 2·x
Given that a reflection is a rigid transformation, we have;
The distance between two points on a preimage is the same as the distance between the corresponding points on the image;
Therefore;
ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;
AB ≅ RS, BC ≅ ST, and AC ≅ RT
m∠BAC ≅ m∠SRT
m∠BCA ≅ m∠STR
m∠BAC ≅ m∠SRT
Therefore;
The true statements are;
AB = RSΔABC ≅ ΔRSTTherefore;
m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRSTLearn more here:
https://brainly.com/question/14136606
What is the vertex of the graph of f(x) = 4(x+5)²-1?
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
Write the following as an inequality.
w is less than 8 and greater than or equal to -3
7
10 points
One force of magnitude 48 acts on an object. Another force of magnitude 90 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Type your answer...
Antonio thought of a number ‘x’. He subtracted 7 from thrice the number to get 11.
Find x.
Answer:
32=X becuase you said He subtracted 7 three times or thrice so we multiply that then add 11 because it was our remaining number from subtraction. so 32
Step-by-step explanation:
Can someone please help me with this??
———————————————
What is the length of the hypotenuse (c)?
4
Or
6
Answer:
6
Step-by-step explanation:
The hypotenuse is the side opposite the right angle.
The side opposite the right angle is 6 m long
9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.
Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step Explanation:
we know that
The volume of a cube is equal to
V = b^3
where b is the length side of the cube
In this problem we have
b = 2m
substitute in the formula of volume
V = 2^3
V = 8 m^3
therefore
The unit of measure appropriate is cubic metre (m³)
3 ft
10 ft
Perimeter:
Area:
Step-by-step explanation:
The area = 3 × 10 = 30
The perimeter = 2(3 + 10) = 26
please give me a brainliest answer
3
10 points
A vector starts at point (-8,-6) and ends at point (7,-3) what is the horizontal component of the vector?
Type your answer...
How many faces does a right rectangular prism have if it has 8 vertices and 12 edges?
A. 4 faces
B. 6 faces
C. 8 faces
D. 10 faces
Answer:
B
Step-by-step explanation:
I think
2. Given that a = 3 , b = 2, and c = −1, evaluate each of the following expressionsa) (a+3b)
Answer:
9
Step-by-step explanation:
if you substitute a for 3 and b for 2 you should get 9
Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.
Congruent triangles are triangles with equal corresponding sides.
The triangles are congruent
From the question (see attachment), we have the following observations.
Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with IIIThe above highlights mean that:
The corresponding sides are congruent by SSS theorem
Hence, your classmate's claim is incorrect.
Read more about congruence of triangles at:
https://brainly.com/question/20517835
What is 500 miles decreased by 20%?
Answer:
400
Step-by-step explanation:
Percentage decrease = 20% × 500
New value = 500 - Percentage decrease
500 - (20% × 500) =
500 - 20% × 500 =
(1 - 20%) × 500 =
(100% - 20%) × 500 =
80% × 500 =
80 ÷ 100 × 500 =
80 × 500 ÷ 100 =
40,000 ÷ 100 =
400
Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm
860.55 mm
Explanation:
The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):
S= 6*b*(a+h)
where b = is the side of the base, a is the apothem length, and h = the height
S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm
Could have also have used another formula without the apothem:
S =3 * √3 * b² + 6 * b * h
S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55 + 528 = 860.55 sq mm
Based on What you learned about economics of organic produce, explain why buying organic food is so expensive
Answer:(:
Step-by-step explanation:
Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.
helppp
what is the slope?
Answer:
I don't see the image either-
Step-by-step explanation:
Upload this again please so we can answer this :')
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal
distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
A parabola is a mirror-symmetrical U-shape.
The equation of the parabola is [tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]The focus is [tex]\mathbf{Focus = (80, -1760)}[/tex]The directrix is [tex]\mathbf{y = \frac{1}{640}}[/tex]The axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]From the question, we have:
[tex]\mathbf{Vertex: (h,k) = (80,10)}[/tex]
[tex]\mathbf{Origin: (x,y) = (0,0)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute the values of origin and vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{0 = a(0 - 80)^2 + 10}[/tex]
[tex]\mathbf{0 = a(- 80)^2 + 10}[/tex]
[tex]\mathbf{0 = 6400a + 10}[/tex]
Collect like terms
[tex]\mathbf{6400a =- 10}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{640}}[/tex]
Substitute the values of a and the vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]
The focus of a parabola is:
[tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]
Substitute the values of a and the vertex in [tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]
[tex]\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}[/tex]
[tex]\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}[/tex]
[tex]\mathbf{Focus = (80, -11\times 160)}[/tex]
[tex]\mathbf{Focus = (80, -1760)}[/tex]
The equation of the directrix is:
[tex]\mathbf{y = -a}[/tex]
So, we have:
[tex]\mathbf{y = \frac{1}{640}}[/tex] ----- the directrix
The axis of symmetry is:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
We have:
[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]
Expand
[tex]\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}[/tex]
Expand
[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}[/tex]
[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }[/tex]
A quadratic function is represented as:
[tex]\mathbf{y = ax^2 + bx + c}[/tex]
So, we have:
[tex]\mathbf{a = -\frac{1}{640}}[/tex]
[tex]\mathbf{b = \frac{1}{4}}[/tex]
Recall that:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
So, we have:
[tex]\mathbf{x = -\frac{1/4}{2 \times -1/640}}[/tex]
[tex]\mathbf{x = \frac{1/4}{1/320}}[/tex]
This gives
[tex]\mathbf{x = \frac{320}{4}}[/tex]
[tex]\mathbf{x = 80}[/tex]
Hence, the axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]
Read more about parabola at:
https://brainly.com/question/21685473
(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following
Answer:
Step-by-step explanation:
[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]
[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]
Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?
Answer:
(0, 7) is an ordered pair solution to 3x + y = 7
Step-by-step explanation:
Given the equation 3x + y = 7, find a solution (ordered pair).
There are an infinite number of possible solutions. Let's focus on just one:
Let x = 0. Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7
Look at the equation shown below
Which of the following scenarios could be represented by the equation?
Cory is saving money by saving $3 per week. Her grandmother gave her $4 for her
birthday that she will put with her other savings. How many weeks. x win it take
her to save $322
Cory is saving money by saving $4 per week. She purchased a container for $3 that
she will use to store her money. How many weeks, x, will it take her to save $32
after paying for the container?
Cory is saving money by saving $3 per week. She purchased a container for $4 that
she will use to store her money. How many weeks x, will it take her to save $32
after paying for the container?
Cory has saved $32 and spends $4 on a large drink from Burger Bam. She wants to
buy several orders of fries that cost $3 aplece. How many orders of tries, x can Cory
buy after spending the $4 on the drink?
Answer:
106 weeks
9 weeks
9 weeks
9 tires
Step-by-step explanation:
1 (322-4)÷3=106
She nees to save for 106 weeks
2 (32+3)÷4=8.75
She need to save 9 weeks becouse complite decimal
3 (32+4)÷3=9
she need to save for 9 weeks
4.(32-4)÷3=9.33
she can order 9 tires
the ratio of yellow balls to green balls in a a bag is 4:2
what faction of the balls are yellow?
Answer: for every 1 green ball there is 2 yellow balls so 75% yellow 25% green I think unless I’m wrong which I wouldn’t be surprised
Step-by-step explanation:
20 POINTS !!!!!!!!!
Solve the quadratic equation by completing the square.
x^2 - 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Answer:
x = x = 9 ±[tex]\sqrt{13}[/tex] or x ≈ 12.61 or x ≈ 5.39
Step-by-step explanation:
x² - 18x + 68 Solve by completing the square.
x² - 18x = - 68
Now complete the square and add that number to both sides of the equation.
1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .
x² - 18x + 81 = -68 + 81
(x - 9) (x - 9) = 13 Now find the square root of both sides
[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex] Solve
x - 9 = ±[tex]\sqrt{13}[/tex] Solve for x
x = 9 ±[tex]\sqrt{13}[/tex]
x = 9 + [tex]\sqrt{13}[/tex] or x = 9 - [tex]\sqrt{13}[/tex]
x ≈ 12.61 or x ≈ x 5.39
the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced
If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%
How to find percentage reduction?
The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:
15 - 9 = 6 dollars
Therefore,
percentage reduction = 6 / 15 ×100
percentage reduction= 600 / 15
percentage reduction = 40%
Therefore, the percentage reduction in price is 40%.
learn more on percentage here: https://brainly.com/question/13450942
#SPJ1
Rittle - Mary didn't know how to pronounce the name but she knew that she had to go inside to impress her parents, where was she? (giving out the answer in 5 mins. SO HURRY)
What are two ways to write 2a-18 in words
Answer:
Step-by-step explanation:
2a-18
two a minus eighteen
two a takeaway eighteen
two a subtract eighteen
two a deduct eighteen
Which matrix multiplication is defined ?
Answer:
A. CB
Step-by-step explanation:
3 x 2 (C is a 3 by 2) matrix can be multiplied to a 2 x 2 (B is a 2 by 2) matrix since C has 2 columns that are equal to the number of rows in the second matrix B.
A way of checking if two matrices can be multiplied is to first check the number of columns the first matrix contains and then check the number of rows that the second matrix contains.
If the number of columns in the first matrix equal the number of rows in the second matrix then that means it is possible to multiply these matrices.
Insert 3 arithmetic means between 10 and -10 (INSERT SOLUTION)
Answer:
5, 0, -5Step-by-step explanation:
Numbers in sequence are:
10, a, b, c, -10The difference between end points:
-10 - 10 = -20Common difference of 5 terms:
-20 / (5 - 1) = - 5The missing numbers are:
a = 10 - 5 = 5b = 5 - 5 = 0c = 0 - 5 = -5Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2
If 20 apples cost N300 how many apples can be bought for N1875
Answer:
28125
Step-by-step explanation:
300÷20=15
15×1875=28125
Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following proves that PQ=LO?
Answers attached
The midpoint of a line divides the line into equal segments.
The option that proves PQ = LO is (a)
The given parameters are:
[tex]\mathbf{L = (0,0)}[/tex]
[tex]\mathbf{M = (3,0)}[/tex]
[tex]\mathbf{N = (3,7)}[/tex]
[tex]\mathbf{O = (0,7)}[/tex]
P is the midpoint of LM.
So, we have:
[tex]\mathbf{P = \frac{LM}{2}}[/tex]
[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]
[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]
Q is the midpoint of NO.
So, we have:
[tex]\mathbf{Q = \frac{NO}{2}}[/tex]
[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]
[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]
Distance PQ is calculated as follows:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
This gives:
[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]
[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]
[tex]\mathbf{PQ = 7}[/tex]
Distance LO is calculated as follows:
[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]
[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]
[tex]\mathbf{LO=7}[/tex]
So, we have:
[tex]\mathbf{PQ = 7}[/tex]
[tex]\mathbf{LO=7}[/tex]
Thus:
[tex]\mathbf{PQ = LO}[/tex]
Hence, the correct option is (a)
Read more about distance and midpoints at:
https://brainly.com/question/11231122
