Answer:
the answer is... Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.
Choose two equations that can be used to find the height, h, of the tree.
Step-by-step explanation:
hope it helps
The two equations that can be used to find the height are as follows:
12 / 4 = h /5
5 / 4 = h / 12
What is Similar Triangles?Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.
here, we have,
Amelia is 5 feet tall and casts a 4-foot shadow.
A tree next to her casts a 12-foot shadow.
The two triangles formed are similar because the angle to the sun is the same.
The tree cast a shadow of 12 ft.
Let's establish the proportion base on similar triangles. The height of the tree is h.
Therefore,
h / 12 = 5 / 4
Therefore,
h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows:
12 / 4 = h /5
5 / 4 = h / 12
learn more on similar triangles here:
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When graphed, the circle with equation
2x² + y2 + 14x + 8y + 20 = 0
Will lie ENTIRELY in Quadrants…
Answer:
First we must use the property of the sum of perfect squares:
X^2 -14x +y^2 +10y+65 =0
Adding 7^2 and -7^2
x^2 -14x+7^2-7^2 +y^2+10y+65=0
x^2 -2.7x +7^2 -49 +y^2+10y+65=0
(X-7)^2 +y^2+10y+16=0
Adding 5^2 and -5^2
(X-7)^2 +y^2 +10y+5^2-5^2+16=0
(X-7)^2 +y^2+2.5y+5^2 -25 +16=0
(X-7)^2+ (y+5)^2 -9 = 0
(X-7)^2 +(y+5)^2 = 9
(X-7)^2+(y+5)^2 = 3^2
Center = (7, -5)
R = 3
The circle is in the 4 quadrant.
Whitch of the systems of equations below of equations below is equivalent to the system shown 4x+5y=3 2x+3y=1
Answer:
12x + 15y = 9
- 12x - 18y = -6
Step-by-step explanation:
Line K has the equation 9x-4y=-5x4.
Line L is parallel to line K, but line L passes through the point (4,7).
The equation for L in slope-intercept form is_______
Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which of these is a reasonable estimate for how many more ounces of nuts than raisins Miguel uses?
A: Between 2 and 2 1/2 ounces
B: between 2 1/2 and 3 ounces
C: between 3 and 3 1/2 ounces
D: between 3 1/2 and 4 ounces
Answer:
Between 2 1/2 and 3 ounces
Step-by-step explanation:
Since 1/3 is lower than 3/4, 5 1/3 - 2 3/4 must be lower than 3, but higher than 2.
So, we can eliminate C and D.
A's range is too small, so we can select B.
Write as decimals:
1.23%
2.56.9%
3.103%
4.0.09%
Answer:
0.23
0.569
1.03
0.0009 i think
Step-by-step explanation:
umm when you convert to decimal you move the decimal point two times to the left i think
Work out the circumference of this circle. Take a to be 3.142 and write down all the digits given by your calculator. 10 cm
Answer:
Circumference = 62.84 cm
Step-by-step explanation:
Circumference = 2πR
Radius = 10 cm
π = 3.142
Circumference = 2 * 3.142 * 10
Circumference = 62.84 cm
PLEASE HELP WITH THIS
Answer:
the last one is the answer
6x^2+9x+3 factor trinomial
Answer:
(x+1) ( x+(1/2))
Step-by-step explanation:
6x² +9x +3 , divide all terms by 6 to have the first term with coefficient 1
x² + (9/6)x + (3/6) , simplify the fractions
x² + (3/2)x + (1/2)
To get x² the first term we should have
(x.....)(x.....)
To get the last term (1/2) we should have
(x...1)(x...(1/2))
To get the middle term (3/2)x we should have
+1*x +(1/2) x = (2/2)x +(1/2)x = (3/2)x
(x+1) ( x+(1/2))
The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function
f(x) = x2?
g(x) is shifted 3 units left and 9 units up.
g(x) is shifted 3 units right and 9 units up.
g(x) is shifted 9 units left and 3 units down.
g(x) is shifted 9 units right and 3 units down.
Answer: g(x) is shifted 3 units right and 9 units up.
Step-by-step explanation:
Answer:
B. g(x) is shifted 3 units right and 9 units up
Step-by-step explanation:
What is the distance between -3,3 and 4,-3
Answer:
-1,0
Step-by-step explanation:
-3 + 4
3-3
How do I Solve 75% of x =42
Answer:
[tex]=31.5[/tex]
Step-by-step explanation:
Given the following question:
75% of 42
In order to find the answer, we use the formula to calculate percentage.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{75\times42}{100} =75\times42=3150\div100=31.5[/tex]
[tex]=31.5[/tex]
Which means 75% of 42 is "31.5."
Hope this helps.
Which of the equations below represents a line parallel to the y-axis?
OA. X=4
OB. X=-y
OC. x=y
OD. x=4y
Answer:
A. x=4
Step-by-step explanation:
The y-axis is a vertical line at x=0, so for a line to be parallel to x=0, x must equal another constant. Option A is the only option that has a constant.
A factory produces 272 chairs in an 8-hour shift. If the factory produces the same number of chairs each hour, how many chairs does it produce in 30 minutes?
Answer:
17 chairs in 30 minutes
Step-by-step explanation:
272/8 = 34
34/2 = 17
17 there ya go
Any help would be great!
Answer:
g(x) = (x + 3)²
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = ( - 3, 0 ) , then
g(x) = (x - (- 3))² + 0 , that is
g(x) = (x + 3)²
negative one over five (x − 25) = 7
Answer:
Step-by-step explanation:
-[tex]-\frac{1}{5} (x-25)=7\\x-25=7 \times -5\\x-25=-35\\x=-35+25\\x=-10[/tex]
por favor me ayudan a hacer la tarea
Answer:
a) 16
b) [tex]2^{4}[/tex]
c) [tex]16*8=128[/tex]
d) [tex]2^7[/tex]
e) [tex]2^5*2^1=64=2^6[/tex]
f) [tex]2^8[/tex]
i dont know what this problem is simplified
huh huh huh huh huh huh huh huh huh
What is the area of the figure
Please Help me with this . Serious answers only.
(a) The interior angles of any triangle sum to 180° in measure. So
(8x + 2) + 70 + 60 = 180
Solve for x :
8x + 132 = 180
8x = 48
x = 6
(b) Evaluate 8x + 2 when x = 6 :
8•6 + 2 = 48 + 2 = 50
Javier goes to a football game. He pays $5 for a student ticket and $2 per item bought at the concession stand. Is the total cost to attend the football game a function of the number of items purchased at the concession stand? Use a graph to help explain your answer. Show your work explain your answer
Answer:
f(x) = 2x+5
Step-by-step explanation:
As you know, a student ticket is one item, and you only need one of these to enter a football game. We will assume he is by himself and without friends. There are items he can buy for $2 each at the concession stand.
With what we know, we can conclude that the total cost to attend the football game could be a function.
The function will be
f(x) = 2x + 5
This is because you buy the ticket one time and buys x items, which is modeled by the function.
I'm sorry that I can't send any links, but if you go to desmos graphing calculator, you can find type the function out and get the graph of the function. Remember to look only at the first quadrant!
Your welcome for the answer, and comment if you have any questions! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
Help me answer the three questions
A manufacturer makes rectangular blankets in servers style and sizes. The outline of a popular blanket is size A is shown below.
Length = 3x - 7
Width = 2x - 3
A) write a polynomial expression, in simplified form, that represents the perimeter of the blanket. Show work below
B) write a polynomial expression, in the simplest form, that represents the area of the blanket. Show work below
C) the same blanket style in Size B has width 2x + 10 and length 4x - 10. Wrote a polynomial expression, in simplest form that expresses the difference in the areas of blanket a and b. Show work below
Answer:
A) Perimeter of the blanket = 2(Length + Width)
<=> 2[(3x - 7) + (2x - 3)]
<=> 2(3x - 7 + 2x - 3)
<=> 2(5x - 10)
<=> 10x - 20
B) Area of the blanket = Length * Width
<=> (3x - 7)(2x - 3)
<=> [tex]6x^{2}[/tex] - 9x - 14x + 21
<=> [tex]6x^{2}[/tex] - 23x + 21
C) Difference between the areas of the two blankets = (L1 * W1) - (L2 * W2)
<=> [(3x - 7)(2x - 3)] - [(2x + 10)(4x - 10)]
<=> (6[tex]x^{2}[/tex] - 23x + 21) - (8[tex]x^{2}[/tex] - 20x + 40x - 100)
<=> 6[tex]x^{2}[/tex] - 23x + 21 - 8[tex]x^{2}[/tex] + 20x - 40x + 100
<=> -2[tex]x^{2}[/tex] - 43x + 121
Hope it helps you!
Calculate the area of the composite figure, which is not drawn to scale.
Answer:
Step-by-step explanation:
Area of the Rectangle: 17 *22=374
Area of a triangle:
We know that one side is 19cmFor the other side, the length is 22cm minus the 10cm, which gets us 12 cmThe area of Triangle is (1/2)*19*12=114Total Area: area of rectangle + area of triangle = 114+374=488
I hope that helps!
can someone please check my answer
question: Find the system of linear inequalities that defines the shaded region of the given graph.
the answer choices-A. y>x and y>_ x-5 B. y<_ x and y> x-5 C. y>_ x and y> x-5 D. y<_ x and y<_ x-5. <_ and >_ means less than or equal to btw.
Answer:
less
Step-by-step explanation:
Answer:
Step-by-step explanation:
you are correct.
Giving out pointss!!!!!!!!!!!!!!!!!!!!
Answer:
THANKS
Step-by-step explanation:
ur answer is 167.62
Answer:
some one already answered this by now
Step-by-step explanation:
Round off 245,13589 to four decimal places
Rounding off is basically a approximate value written in compact form for our convenience when precise accurate result is not that necessary.
What is a decimal ?A decimal is a point or a dot separating the whole part and the fractional part of the number.Now rounding off numbers to certain decimal places has a condition if the digits just after the decimal is more than half we take the upper value if itis less than half we take the lower value.
Given in this question let's go by rounding off from 1 place to 4 for better understanding.
rounding off 24513589 to one decimal place = 2451359.0
rounding off 2451359.0 to one decimal place = 245136.0
rounding off 245136.0 to one decimal place = 24514.0
rounding off 24514.0 to one decimal place = 2451.0
Learn more about Rounding off to decimal places here :
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Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10. 5 minutes. The inequality 10. 5 x < 33 represents the situation. Solve the inequality. How is the solution interpreted in the context of the problem? x < 22. 5; Sam has a maximum of 22. 5 minutes left to finish running. X < 22. 5; Sam has fewer than 22. 5 minutes left to finish running. X > 43. 5; Sam has at least 43. 5 minutes left to finish running. X < 43. 5; Sam has no more than 43. 5 minutes left to finish running.
x < 22.5; Samuel has less than 22.5 minutes to finish the race in the estimated time.
What amount of time Samuel left for the race?The given inequality is-
[tex]10x < 33[/tex]
From here, we define the variable x.
x = Number of the minutes left for the race
From here we can find the value of x
We have then:
[tex]x < 33-10.5[/tex]
[tex]x < 22.5[/tex]
Hence, Samuel has less than 22.5 minutes to finish the race in the estimated time.
To know more about inequality follow
https://brainly.com/question/24372553
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
For a I got Part a
The relationship is how when temperatures are rising the sweaters sold go down but when its colder the sweater sales go up.
and for b I don't know but I do know that the line of best fit goes well in points 12,0 (15,4) (7,10)
if you could just find the slope and y intercept and show your work
Answer:
See below.
Step-by-step explanation:
The line of best fit is in the screenshot.
(12,4) and (7,9) are the selected points.
9-4=5
7-12=-5
5/-5, or -1.
The approximate slope and y-intercept is -1 and 15.
-hope it helps
Choose the dimensions that represent this rectangle:
Length: 2/5
Width: 2/6
Length: 2/4
Width: 3/4
Length: 2/3
Width: 3/4
Length: 2/3
Width: 3/5
Answer:
2/3 length and 3/4 width!
Step-by-step explanation:
I had this same question :D
Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x 20? Select three options.
The graph of the function f(x) = x³ – 2x² – 19x + 20 passes through the x-axis at –4, 1, and 5.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The function is given as
f(x) = x³ – 2x² – 19x + 20
By hit and trial. Let x = 1, we have
f(x) = 1³ – 2(1)² – 19(1) + 20 = 0
Then the equation will be
f(x) = (x – 1)(x² – x – 20)
f(x) = (x – 1)(x – 5)(x + 4)
Then the graph of the function passes through x-axis at –4, 1, and 5.
The graph is shown below.
More about the factorization link is given below.
https://brainly.com/question/6810544
Which is the better deal 20$for 5-shirts or $24 for 8 shirts
Answer:
Step-by-step explanation:
Find the unit rate for both the deals.
$20 for 5 shirts
Cost of one shirt = 20 ÷ 5 = $ 4
$24 for 8 shirts
Cost of 1 shirt = 24 ÷ 8 = 3
⇒ 8 shirts for $ 24 is the better deal
