A geologist wants to determine the distance across the widest part of a nearby lake. The geologist marked off specific points around the lake so that the line containing segment DE would be parallel to the line containing BC. The segment BC is selected specifically because it is the widest part of the lake. The segment DE is selected specifically because it is a short enough distance to easily measure. Use this diagram to answer the following questions.
1. Is ADE similar to ABC'? How do you know? *
Yes. All three sides are proportional.
Yes. Two or more angles are equivalent.
No. Side lengths are not proportional.
There is insufficient information to determine similarity.
2. If ADE is similar to ABC, and |AD| = 1,200 ft and |AB| = 3,600 ft, what is the length of segment BC?
2,700 ft
1,600 ft
2,100 ft
2,400 ft
3. If ABC is similar to ADE what is the length of segment AC? *
5 points
2,000 ft
3,000 ft
2,400 ft
2,800 ft
Answer:
1. Yes. Two or more angles are equivalent
2. 2700 ft
3. 3000 ft
Step-by-step explanation:
1.
∠EAD = ∠CAB (same angle)
∠AED = ∠ACB (because AC is a straight line and ED and CB are parallel)
2.
1200:3600
1:3
This means that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. ED corresponds to CB, so:
900 x 3 = 2700
3.
We know that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. AE corresponds to AC, so:
1000 x 3 = 3000
if a pineapple costs $p and a mango costs $q, write an algebraic expression, in dollars, in terms of p and q for the total cost of 5 pineapples and 3 mangoes
Answer: 5p + 3q
Explantation: 5 pineapples is going to be multiplied by p, the cost of 1. And 3 mangoes are going to be multiplied by q, the cost of 1. And adding the two totals together gives you the total cost.
Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) - g(x).
Must show all work to receive credit! Show your work in the box below
Answer:
its the same steps as the other one I answered for you except subtract
Step-by-step explanation:
x-1
Answer:
f(x) - g(x) = 2x^2 - x - 1
Step-by-step explanation:
f(x) = 2x^2 + 4x - 3 g(x) = 5x - 2
f(x) - g(x) = (2x^2 + 4x - 3) - (5x - 2)
= 2x^2 + 4x - 3 - 5x + 2
= 2x^2 - x - 1
A snack-size bag of carrots has a mean weight of 1.75
ounces and a standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure
and found that it weighed 1.68 ounces.
What is the Z-score for the snack-size bag of carrots
that Kendra measured?
A. -0.70
B. -0.07
C. 0.07
D. 0.70
Answer:
The person above is right,
the answer is (A) -.70
They deserve brainliest
Which of the following equations represent linear functions?
y=x2−3x
4x+y=5
y=|2x+1|
y=−5
PLEASE MATCH THE ANSWERS
Answer:
Step-by-step explanation:
Triangle is
obtuse and
isosceles
SECTION 1-1 PRACTICE
Employee
Regular
Hourly Rate
х
Hours
Worked
Straight-Time
Pay
Ix
36
X Х
X Х
Wright, S.
Reardon, E.
Levitt, R.
Maguire, M.
Reyes, A.
Vadola, G.
$ 8.00
7.50
16.20
10.25
14.525
26.675
IX Х
18
30
243
31.125
25.625
X Х
You earn $6.50 per hour and work 30 hours this week. What is your straight-
Answer:
Your straight-time pay is $195.
Step-by-step explanation:
a) Data and Calculations:
Employee Regular Hourly Rate х Hours Worked = Straight-Time Pay
Wright, S. $8.00 36
Reardon, E. 7.50 18
Levitt, R. 16.20 30
Maguire, M. 10.25 243
Reyes, A. 14.525 31.125
Vadola, G. 26.675 25.625
b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30). The straight-time pay is determined by multiplying the number of hours worked in a period by the hourly rate.
This exponential function has a base of 1.4 and an initial amount of 17. Its graph
is shifted 3 units left and 5 units up.
Answer:
-2.4 and 22
Step-by-step explanation:
I need help ASAP (10 points) I checked and the only information I got was that x=8 I don’t know how to get the answer 8
Answer:
x=8
Step-by-step explanation:
This is a congruent triangle. If we use Pythagorean theorm, we can see that 3^2+y^2=25
y^2= 16
y=4
(y is the base of the small triangle)
and since the big triangle and the small triangle are congruent(the ratios are the same), 3 is half of 6, and so the base of the small triangle is half of the big triangle's.
4*2=8
x=8
Given: △ABC, m∠A=60°
m∠C=45°, AB = 9
Find: Perimeter of △ABC
Area of △ABC
ABC is scalene
hope it helps you ....... :)
A woman who weighs 160 pounds on earth weighs 30 on the moon. If a boy weighs 60 pounds on earth , how much dose he weigh on the moon.
Answer:
10 pounds
Step-by-step explanation:
given the function f (x) = 2(x + 4), find x if f (x) = 20
Answer:
x=6
Step-by-step explanation:
f(x)=2(x+4)
20=2(x+4)
10=x+4
6=x
x=6
28. Which statement is true about the polynomial?
29. What is the degree of the polynomial?
Answer:
Step-by-step explanation:
28). (C)
29). [tex]6^{th}[/tex] degree
A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?
If the number of seats that are in the last row is 1100 seats.
Number of seatsFirst row=20
Second row=22
Third row=24
A.P = 20,22,24,…
a=20
d=22−20=2
n=25
Using the formula of the sum of the first n terms of an A.P
Sn=n/2[2a+(n−1)d]
S25= 25/2 [2×20 +(25-1) 2]
S25 = 12.5 [40 +24 ×2]
S25= 12.5 [88]
S25= 1100
Therefore If a theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. The number of seats that are in the last row is 1100 seats.
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ula for a Variable
The surface area of a cone is given by the formula
S = nil + n0r2 Solve the formula for l.
0 1=S - p2
O l=S+ p2
Ol= $ - p2
TT
01 = 5 +2.
1=
TT
Answer: 80 votes
Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).
The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.
What is surface area?The surface area of a three-dimensional shape is the amount of space that surrounds it.
Starting with the given formula:
[tex]S = \pi l + \pi r^2[/tex]
We want to solve for l.
First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:
[tex]S - \pi r^2 = \pi l[/tex]
Then we can divide both sides by π to isolate l:
[tex]l = (S - \pi r^2) / \pi[/tex]
Therefore, the solution is:
[tex]l = (\frac{S}{\pi} - r^2)[/tex]
Thus, the correct option is C.
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Your question seems incomplete, the probable complete question is:
The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.
A) l = S – r2
B) l = S + r2
C) l = 5/3.14 – r2
D) l = 5/3.14 + r2
all of the 2's are to the power of R
the 5/3.14's are fractions
What is 8 divided by 3/5= ?
Answer:
0.075
Step-by-step explanation:
80+100??????????????????
Answer:
180
Step-by-step explanation:
8 0
+ 1 0 0
1 8 0
If a car travels 23 miles in 20 min what is the. car speed in miles per hour?
Answer:
69 miles per hour
Step-by-step explanation:
car travels 23 miles in 20 min
So 20 min=20/60hour
=1/3. hour
Speed of the car=23÷1/3
=69 miles/hour
So the final answer is 69miles/hour
The entrance to an accessibility ramp is at ground level
The first section of the ramp covers a horizontal distance of 18 feet and rises to a
landing 1.5 feet above the ground
The second section of the ramp begins at the landing, it rises at a slope of t; and
covers another 9 feet of horizontal distance to reach the door
Second section
First section
Door
13 feet
ber
NOTE Sketch not drawn to scale
Answer the questions to compare the sections of the ramp
1. What is the slope of the ramp from the ground to the landing? Write your answer
as a fraction with a whole number numerator and denominator
Write your answer in the space below.
Answer:
250 feet
Step-by-step explanation:
Answer:
1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
2)slope is the change in height, the vertical change, divided by the change in horizontal distance
3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
4)slope = 1/18 = (1/2)/9
5)the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically
Linear, exponential or neither?
ao = 2; an = an-1 + 4
A Linear
B Exponential
C Neither
Answer:
Linear
Step-by-step explanation:
The previous term plus 4.
1, 5, 9, 13 plotting these points would make a straight line!
Answer this question please and i will give brainliest
Answer:
false the answer is false
Step-by-step explanation:
The table shows the weights of apples at a grocery store
Answer:
c
Step-by-step explanation:
Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Leave your answer in simplest form in the form of a/b − c/d
If one of your numbers is a whole number, put a 1 in that denominator
well what i got was:
the exact form: 233/28
decimal form: 7.96428571...
mixed number form: 7 27/28
not sure if this is right at all but i hope it helps at least a little
hi
1/7 * (56 -1/4) = 56/7 - 1/28 = 224/28 - 1/28 = 223 /28
as 223 is prime, it's cannot be simplified. however it 7 +27/28
Consider the figure, where segment M N is parallel to segment RP.
What is the value of x?
What is the change in temperature from 20 degrees F dropping to -33 degrees F?
Answer:
53 degrees.
Step-by-step explanation:
Your just finding the difference or the "change" So I did 20+33=53.
Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.
PLEASE MARK BRAINLIEST
What is the value of 3-(-2)? 25 -3 -2 -1 0 1 5 0 1 O 5
Answer:
5
Step-by-step explanation:
(because when two negative meets it gives u positive )
Name the two congruent angles. Be sure to use three letters to name each angle.
Answer:
b and c
Step-by-step explanation:
looking at the markings
Answer:
The person above is correct. It is b and c.
Step-by-step explanation:
This is because both sides are equal. And while this isn't the best explanation, my reasoning is because if you were to cut it in two and flip one side over the other side they would be equal. Also since all sides are not equal all are not the same angle. Apologies if this doesn't make sense, I am not good and explaining stuff. Best of luck on the assignment.
cual es la formula del rombide.help me
Answer:
Step-by-step explanation:
The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).
B is the base of the rhomboid and a is the length of the side of the rhomboid.
Hope this helped! If so, plz mark brainliest.
where can I find about slopes in homework 5 unit 3
Answer:
idk
Step-by-step explanation: sorry im in unit 6 in science im working on rn
baiiii
becky adds 11 new videos to instagram per week. She currently has 1,577 videos.
Write an expression that represents the number of videos Charli will have in w weeks.
Answer:
1577 + 11w
Step-by-step explanation: