Answer:
35 years
Step-by-step explanation:
A= P(1 + r)^n
A= $8400
r= 3%
n= ?
P= $3000
8400 = 3000(1 + 0.03)^n
8400/3000 = (1 + 0.03)^n
log2.8 = log (1.03)^n
log 2.8 = nlog 1.03
n=log 2.8/log 1.03
n= 35 years
A triangle has angle of 30 degree, 60 degree, 90 degree. It is dilated by a scale of 3. Give the angle measures of the dilation of the triangle.
Please help me with this question and explain your answer too...
Answer:
No matter what scale factor is dilated, the angles will not change.
My explanation:
A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:√3:2.
That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg. You might also remember it as "X, 2X, and X roots of 3", which is how I remember it, but then you have to remember that 2X is actually the longest side, not X roots of 3.
Which side is which? The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3
times as long, and the side opposite the 90 degree angle will be twice as long. The triangle below diagrams this relationship. Remember that the longest side will be opposite the largest angle, and the shortest opposite the smallest angle.
Hopefully this helped, if not HMU and I will try to get you a better answer! :)
PLZZZ HELPPP!! THIS IS TIMEDDD!!!! *look at picture*
A ABC is a dilation of A JHG centered at the origin.
Find the scale factor of the dilation.
A. 3
B. 4
C. 2
D. 8
Answer: I think 4
Step-by-step explanation:
PLEASE HELP ASAP!!! MAKE SURE YOU KNOW YOU’RE CORRECT (sometimes people put wrong answers)
Find the slope of a line passing through the points (3,2) and (-1,8).
Answer:
[tex]m=-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m= \frac{8-2}{-1-3}[/tex]
[tex]m=-\frac{6}{4}[/tex]
Simplify
[tex]m=-\frac{3}{2}[/tex]
Please help me please thank you sm in advance
Answer:
Your answer is 50 (or b)
Step-by-step explanation:
You can tell this because the inside angle is 25 but the cornner says 2x so you have to double it so 25+25=50...hope this helps
:P
Answer:
50
Step-by-step explanation:
There is a straight line at the bottom which is 180 degrees. On the right side the angle measure is 150 degrees so you subtract that by 180 and you get 30 degrees making it supplementary. Next you should know that there is 180 degrees in a triangle. Now you formulate the equation 30+50+2x =180. Then you solve for x and you get the solution x=50 which is your answer. Now you can substitute 50 in for x and see if all the angle measures add up to 180 degrees.
If you can please make my answer the brainliest that would be much appreciated. Thanks!
only question 3 A and B please thank you
Answer:
smell my feet nnnnnnnnnsdsdsdnnnsdsdnigdsga
Step-by-step explanation:
The water level in a reservoir is now 52 meters. If this was a 23% increase, what was the initial depth?
Answer:
40.04
Step-by-step explanation:
It was at 40.04 before the 23% increase. To find 23 % of 52 set it up as a inequality.
x/52 = 23/100
Cross multiply
52 * 23 = 1,196 100 * x =100x
Now solve for x.
100x /100 = 1,196/100 x = 11.96
Subtract answer from 52 to get answer
52 - 11.96 = 40.04
HELP I GOTTA TURN THIS IN QUICK
Answer:
(0, 0), (4, 0), (4, -5)
Step-by-step explanation:
This one keeps the same lengths of the previous triangle. It also keeps the same proportions (or something) etc, etc. I solved this problem by graphing and seeing which one fit best.
What is the solution to the inequality ?
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 1
xy 0
2. A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
(1 point)
no more than 50
no more than 45
no less than 50
no less than 45
3. It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
56 miles per hour
30 miles per hour
64 miles per hour
50 miles per hour
4. Raphael is timing how fast he can do a series of 5 math questions, aiming to complete them in less than 20 minutes. He has done 3 questions so far, with each of them taking 3 minutes to complete.
On average, how much time does Raphael have on each remaining question so he can reach his goal?
Raphael has no more than 5 minutes and 50 seconds to complete each remaining question.
Raphael has less than 5 minutes and 50 seconds to complete each remaining question.
Raphael has less than 5 minutes and 30 seconds to complete each remaining question.
Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.
5. A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?
no more than $150
less than $250
less than $150
no more than $250
Answer:
1, no more than 50
2. 50 miles per hour
3.Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.
4. less than 4250
Step-by-step explanation:
Evaluate when c=5 and d=10
5 x d ÷ c + 2=12
Step-by-step explanation:
First we need to remember the rule of PEMDAS and then simplify.
5×10/5+2=12
Multiply
50/5+2=12
Divide
10+2=12
Add
12=12
Maya estimates that the wait time for her favorite roller coaster is 35 minutes. The actual wait time is 55 minutes. What is the percent error of laya's estimate
Answer:
36.4%
Step-by-step explanation:
Actual wait time is 55 minutes
Approximate wait time is 35 minutes
Therefore the percent error can be calculated as follows
= 35-55/55 × 100
= 20/55 × 100
= 0.3636 × 100
= 36.4%
Are the ratios 1:5 and 3:15 equal?
Answer:
no, 3/15 reduces to 1/3 and 1:3 isn't equal to 1:5
Answer:
yes they are because they are by three
Step-by-step explanation:
5, 2, -1, -4
What is the next term in the sequence?
How did you find this number?
Answer:
-7 - 10
Step-by-step explanation:
Take it away from 3
Answer:
the next term is -7, they subtracted 3
Step-by-step explanation:
I found the difference between 5 and 2
1) 5-3=2
2)2-3=-1
3)-1-3=-4
4) -4-3=-7
They each subtract 3
a flagpole cast a shadow 25 meters long when the angle of elevation of the sun is 40 how tall is the flag pole to the nearest meter
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
Write the equation x2+24x+60=0 in the form (x+p)2=q
Answer:(x + 12) ^2 -60
Step-by-step explanation:i evaluated this and i got it
Idk know how to do it can someone help me
Answer:
ANSWER
Step-by-step explanation:
In the table, look at the x values. Now, in the function ( the expression in the question) substitute the x values from the table into the function. The first column would be 4x1-1sqaured so 4 x 1 = 4 1 squared is 1 so 4 - 1 is 3. So the answer for the first box is 3.
Find the 11th term of the arithmetic sequence 1, 4, 7, 10, ...
Answer:
Step-by-step explanation:
1,4,7,10
r=3
a1+10r=a11
a1+30=a11
a1=1
a11=31
Answer:
[tex]a1 = 1 \\ d = 4 - 1 = 3 \\ a11 = a1 + 10d \\ a11 = 1 + 10 \times 3 \\a11 = 1 + 30 = 31 \\ thank \: you[/tex]
Simplify (a^-2*b^2/a^2*b^-1)
The answer is B
Answer:
=b/a^4
Step-by-step explanation:
1. Find the error & explain why it is wrong:
What's one way we can check our answer to 2 x10 = 20?
A. 20 : 10 = 2
B. 2 : 10 = 20
C. 20 x 10 = 2
Answer:
A (does : mean division? If so then A is correct)
In 2013, Blue Ridge Parkway was visited by about 1.9 x 107 people. That same year, Great Smoky Mountains National Park was visited by about 9.3 x 106 people. How many more people visited Blue Ridge Parkway than Great Smoky Mountains National Park in 2013?
Answer:
um
Step-by-step explanation:
PLEASE HELP I HAVE NO CLUE WHAT TO DO
Answer:
b= \frac{1}{2ha} -c
Step-by-step explanation:
you would multiply to remove the variable from the denominator and simplify
89 divided by 37 with a reminder and answer
Answer:89/37=2 remainder 15
Step-by-step explanation:
Check:
37*2=74
74+15=89
Answer:
2.40.405
Step-by-step explanation:
thats with out a reminder
can a hexagon have angles that measures 85,62,135,173,and 160
Answer:
If the sum of those angles adds up to 720 degrees, then they can be the angles of a hexagon. Your sum is 615.
Step-by-step explanation:
Hope that helps!
Amari rakes leaves for $10.85 per yard. If Amarirakes 5 yards, how much money does he have?
Answer:
$54.25
Step-by-step explanation:
Answer:
54.25$ for raking 5 yards
Step-by-step explanation:
find the e correctly
if u get a correct answer u will get brainliest!
The graph shows the height (h), in feet, of a basketball t seconds after it is shot.
Projectile motion formula: h(t) = -16t^2 + vt + h0
v = initial vertical velocity of the ball in feet per second
h0 = initial height of the ball in feet
Complete the quadratic equation that models the situation.
h(t) = –16t^2 + _t + 6
Answer:
v=24 feet/sec
I hope this was helpful! :))
Answer:
24
Step-by-step explanation:
PLEASE PLEASE HELP I WILL GIVE BRAINALSIT
Answer:
On the first one the answer is 420 so you would have to go up and write 360 then 420 and down on 360 youll put 6 minutes and on 420 youll put 7 minutes and then you will write that the answer is 420
Hope this helps
please help i dont understand
Lisa and Molly are on a bridge and see a tree sticking out of the water. Use the diagram to determine how far away Lisa is from the tree in the water. Use appropriate units.
Answer:
Distance between Lisa and the tree in the water = 26.5 ft
Step-by-step explanation:
From the figure attached,
Lisa is a point L, Molly is at M and a tree stick at point S.
By applying sine rule in ΔLMS,
[tex]\frac{\text{SinL}}{\text{SM}}=\frac{\text{SinM}}{LS}=\frac{\text{SinS}}{\text{LM}}[/tex]
[tex]\frac{\text{Sin(54)}}{22}=\frac{\text{Sin(103)}}{\text{LS}}[/tex]
LS = [tex]\frac{22\times \text{Sin}(103)}{\text{Sin(54)}}[/tex]
LS = 26.5 ft
Therefore, distance between Lisa and the tree in the water is 26.5 ft.