Answer:
B = 75
A = 60
b 15+ faster than a
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500
Answer:
I think the answer is 1500
Step-by-step explanation:
Elevation of the road at 5 miles from the starting point is 1250 ft.
Similarity of triangles: If two triangles are similar, their corresponding sides will be proportional.
Given in the question,
Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).
Since, ∠A ≅ ∠A (Reflexive property)
∠AED ≅ ∠ACB (right angles)
ΔADE ~ ΔABC (By A-A property of similarity)
In these similar triangles, corresponding sides will be proportional.
[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]
[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]
[tex]DE=\frac{5\times 2000}{8}[/tex]
[tex]=1250[/tex] miles
Therefore, elevation of the road at 5 miles from the starting point will be 1250 ft.
Option (B) will be the answer.
Learn more about the similarity of the triangles here,
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Question 8 of 9
HELP PLEASE!!Translate the phrase into a variable expression. Use the letter c to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division
the product of 16 and the number of chipmunks...
Answer here
SUBMIT
The algebraic expression of the statement is 16c
How to rewrite the statement?The statement is given as:
the product of 16 and the number of chipmunks
Product means *
So, we have:
16 * the number of chipmunks
The number of chipmunks is represented with c
So, we have
16 * c
Evaluate
16c
Hence, the algebraic expression of the statement is 16c
Read more about algebraic expression at:
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Help pls!?right answer I’ll give you a crown
Answer:
1.5
Step-by-step explanation:
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
The probability of getting 3 in 132 times is 22.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Paul rolls a fair dice 132 times.
The probability of getting 3 in one roll is 1/6
so now it is 132 rolls
so,
= 132/6
= 22
Hence, The probability of getting 3 in 132 times is 22
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Ace plays please help me with it...
Answer:
[tex]a=\sqrt{55}[/tex] or [tex]7.146[/tex]
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
How do you write 199.4% as a decimal?
Answer:
1.994
Step-by-step explanation:
"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.
199.4% = 199.4 over 100 or,
199.4%=199.4100
199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:
199.4 ÷ 100 = 1.994
Therefore, we have shown that
199.4% = 1.994
Simplified Conversion:
Remove the percent sign % and divide by 100.
199.4 ÷ 100 = 1.994
Shortcut Conversion:
Move the decimal point 2 places to the left and remove the percent sign %
199.4% becomes 1.994
Answer:
1.99400
I hope this helps!
solving 2 step equations k/9 -1=10
Answer:
99
Step-by-step explanation:
k/9=10+1
k/9*9=11*9(cancel division 9 to multiplication 9)
k=99
The turning of a figure or object about a fixed point is called:
Simplify the following expression. (K + 8)(3k^2 - 5k + 7)
Answer:
3k^3+19k^2-33k+56Step-by-step explanation:
3k^3-5k^2+7k+24k^2-40k+56
3k^3+19k^2-33k+56
MATH HELP PLEASEE!! MARKING BRANLISTT! D:
Answer:
the one with the empty circle
brainliest.pls
Answer:
open circle going to the left so your answer is B
Determine type of triangle
Answer:
isosceles right
Step-by-step explanation:
two same side and right angle
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
It is isosceles right triangle as two sides have same meausurement and right angle because 1 angle is 90 degrees
Dividing Rational Expressions
Answer:
[tex] \frac{6}{(x + 2)} [/tex]
Step-by-step explanation:
[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]
PLEASE HELP W MATH QUESTION !!!
( WILL MARK BRANLIEST )
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 5, - 1 ] , thus
f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9
f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then
average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
The points in the table lie on a line. What is the slope of the line?
X
-8
-2
4
10
у
8
1
1
-6
-13
The slope of the line is
24
Y + 196355
I NEED TO VENT PLEASEEEEE HELP
y+196355 equals y+196355 or 196355y
but most likey it just stays the same
Answer:
196355y
Step-by-step explanation:
you can vent to me
if f(x)=x/2-2 and g(x)=2x^2-2+x-3, find (f+g)(x)
Answer:
Add all the corresponding parts of each function. The degree of x determines which correspond.
2x^2 (degree 2)
x + x/2 (degree 1)
-3-2 (degree 0)
So you get
2x^2 + 3x/2 - 5
Step-by-step explanation:
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!!!
Which decimal is the largest?
A.0.02
B. 0.2
C. 0.19
D. 0.029
HURRRYYYYYYY
Answer:
It's B!
Step-by-step explanation:
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A. 4m + 3
B. 3m + 4
C. 3m – 4
D. 4m – 3
write a translation rule that maps point d(7 -3) onto point d'(2 5)
Answer:
translate (x,y) (x-5,y+8)
Graph the line.
y=-4x+4
Graph the line.
y=-4x+4
Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4
Which of the following inequalities matches the graph?
A. 6x+y<3
B. -6x+y<3
C. 6x-y<-3
D. the correct inequality is not listed
Answer:
c
Step-by-step explanation:
Answer:
C. 6x - y < -3Step-by-step explanation:
The graphed inequality shows that:
The function is increasing, so it has a positive slope, shaded region is to the left of the dashed line, so it should have > sign after y.Above information lets us build the inequality:
y > ax + b, where a> 0Now lets verify the options:
A. 6x + y < 3 ⇒ y < -6x + 3
NoB. -6x + y < 3 ⇒ y < 6x + 3
NoC. 6x - y < - 3 ⇒ y > 6x + 3
YesD. Not applicable
distance parcouru par une balle de famas
Answer:
4005 mètres de distance.
Step-by-step explanation:
If a sweatshirt is on sale for 35% and now costs $52,
what was the original price?
Answer:
The original price of the sweatshirt is $80.
Step-by-step explanation:
If a product is on sale for a 35% discount, then it is 65% of the original price ( because 100 - 35 = 65)
So set up a proportion,
((part)/(whole)) = ((x)/(100))
In the given information, we know that the part (the amount paid) is 52$, what we need to find is the whole. To make solving the problem easier, let's call the whole x.
((52)/(x)) = ((65)/(100))
Simplify,
52/x = 13/20
Cross multiply,
1040 = 13x
Inverse operations,
1040 = 13x
/13 /13
80 = x
So the original price of the sweatshirt is $80.
Jania makes $30,000 per year. Income tax is 32% of her total income. How much does she pay in taxes?
Answer:
9,600
Step-by-step explanation:
You take 32% of 30,000 and boom
Math Problem will give brainliest! If you say something random i will get you banned.
Answer: I can’t figure this one out because I’m only in 8th grade.
Step-by-step explanation:
Answer:wh0re
Step-by-step explanation:
quick question
what if i want my own room but there are six kids and only two rooms then what do i do
ps: its not a math question
Answer:
ask your parents
Step-by-step explanation:
Step-by-step explanation:
i honestly don't know I can't help with that
I need to Write an explanation of how find the slope of a line given points A (1,5) B (-7,8) can someone help me please!
Answer:
finding slope
Step-by-step explanation:
So slope is the change in y over the change in x, to show (Y/X). So finding the difference or the change usually means you need to subtract which you do to the x and y values. So you subtract the y's and x's and what you get is the change.
Find the slope of the line: i’ll give brainliest :)
picture above ^^
IM IN A TIMED TEST 30 MIN LEFT
Which is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).
Answer:
d
Step-by-step explanation:
Answer:
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
Step-by-step explanation:
First, solve for two points which solve the equation and plot these points:
First Point: For
x=0
0−2y=6
−2y=6 then divide it by -2
y=(0.-3)
second point:
x−(2⋅0)=6
x−0=6
x=(6,0)
Two linear functions are shown. Which function has the greater initial value?
Answer:
The answer is Function A
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
Answer:
we conclude that function A has a greater initial value.
Step-by-step explanation:
As we know that the initial value is obtained by setting x=0
so
Given the function A
From function A, it is clear that at point x=0, the value of y=8
i.e.
at x=0, y=8
Given the function B
[tex]y=3x+4[/tex]
substitute the value x=0 to get the initial value of function B
[tex]y=3x+4[/tex]
[tex]y=3(0)+4[/tex]
[tex]y=0+4[/tex]
[tex]y=4[/tex]
i.e.
at x=0, y=4
Therefore, we conclude that function A has a greater initial value.