Answers
Since ABC is a 90-60-30 triangle, it is half of an equilateral triangle. This means that BC is half AC, i.e. 17.
So, we have
[tex]AB = \sqrt{AC^2-BC^2}=\sqrt{AC^2-\left(\dfrac{AC}{2}\right)^2}=\dfrac{\sqrt{3}}{2}AC = \sqrt{3}\cdot BC =\sqrt{3}\cdot 17\approx 29.4[/tex]
So, the perimeter is
[tex]AD+DC+BC+AB\approx34+34+17+29.4\approx 114.4[/tex]
Related Questions
Type the correct answer in each box. Use numerals instead of words.
Dane has a handful of change worth $2.65. There are 17 coins, including quarters, dimes, and nickels. If Dane has four times as many dimes as
nickels, how many of each coin does he have?
Dane has
quarters
dimes, and
nickels.
Answers
Answer:
Quarters=7
Dime=8
Nickel=2
Step-by-step explanation: 8*.10=.80, 2*.05=.10, 7*.25=1.75 If you add them up you get 2.65.
Set up a tape diagram for the equation 2x + 10 = 20
Answers
Answer is X=5
Subtract
10 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
and done
WILL GIVE BRAINLIEST
Estimate the solution of the equation a(x) = b(x)
IMAGE BELOW
Answers
Answer:
The solution of the equation a(x) = b(x) is (9, 5.5)
Step-by-step explanation:
The solution of the system of the linear equations is the common ordered pair in their solutions, this solution is the point of intersection of the lines which represent the two equations graphically
In the given figure
∵ There are two lines, the blue line, and the red line
→ Let the blue line represents a(x) and the red line represents b(x)
∵ The solution of the equation a(x) = b(x) is the point of intersection of
the two lines
∵ The x-coordinate of this point is 9
∵ The y-coordinate of this point is between 5 and 6 (5.5)
∴ The coordinates of the point of intersection are (9, 5.5)
∴ The solution of the equation a(x) = b(x) is (9, 5.5)
A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the number of people in the auditorium must be under 750 to meet safety regulations what is the solution of this inequality and what is it's meaning
Answers
Question:
A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?
Answer:
[tex]200 + 25x < 750[/tex]
Number of seats in a row must be less than 22
Step-by-step explanation:
Given
Total = Less than 750
Current Seats = 200
Rows = 25
Seat per row = x
Required
Represent as an inequality
The scenario will be represented as:
[tex]Current\ Seats + Rows * x = Total[/tex]
Substitute 200 for Current Seats
[tex]200 + Rows * x = Total[/tex]
Substitute 25 for Rows
[tex]200 + 25* x = Total[/tex]
[tex]200 + 25x = Total[/tex]
Substitute <750 for Total.
The equation then becomes
[tex]200 + 25x < 750[/tex]
Solving further:
[tex]25x < 750 - 200[/tex]
[tex]25x < 550[/tex]
[tex]x < \frac{550}{25}[/tex]
[tex]x < 22[/tex]
This means that:
Number of seats in a row must be less than 22
Mike is 5 years older than David. Four times David’s age increased by three years equals three times Mike’s age decreased by two years. Find Mike’s age.
Answers
Answer:
15 years
Step-by-step explanation:
Write as an algebraic equation-
D+5=M
4D+3=3M-2
substitute
4D+3=3D+15-2
4D+3=3D+13
subtract 3 and 3D
D=10
Plug in D
10+5=M
M=15
Given the figure below, find the values of x and z.
(12x - 5)
(13x - 15)
20
Answers
Step-by-step explanation:
(12x - 5 )+ ( 13x _15 ) =180
25X = 180 +20=200
X= 8 ⇒
Z= 12X _5
Z= 12 × 8 -5 = 91 ⇒
Last week Amy ran 15 miles more than anjali amy ran 22 miles how many miles did Anjali run
Answers
Answer:
7 miles
Step-by-step explanation:
To find how many miles Anjali ran, subtract 15 from 22, since Amy ran 15 more miles than Anjali:
22 - 15
= 7
So, Anjali ran 7 miles.
22-15=7
Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative result on this test. If 5 percent of a certain population has the disease, what percent of that population would test positive for the disease?
Answers
Answer: 0.14
Step-by-step explanation:
Bill and Jill both exercise on Monday, January 1. Bill exercises every 5th day, and Jill exercises every 4th day. What is the next date on which Bill and Jill both exercise?
Answers
Answer:
January 20Step-by-step explanation:
5 and 4 mutually prime numbers, therefore we need to find their LCM.
LCM(5,4) = 5*4 = 20Next time they will both exercise on the 20th days, which is January 20
It cost $2.50 to rent bowling.each game costs $3.25.you have $22. How many games can you bowl
Answers
Answer:
6 games
Step-by-step explanation:
Use the equation 2.5+3.25x=22 to solve in which $2.50 is the initial amount to rent for Bowling, $3.25 the amount of game that is played, $22 for what you have, and x in which is the amount of games you can play at the max. Subtract 2.5 on both sides to get to 3.25x = 19.5. Divide 3.25 on both sides to get your final answer as 6 for your x value in which you can play up to 6 games.
Answer:
6 games
Step-by-step explanation:
you do 2.50 - 22 this you divide 3.25 by what you have left
Three vertices of parallelogram ABCD
are A(-2,-2), B(2, 1), and C(0,7). What
are the coordinates of vertex D?
Answers
Answer:
(0, -8)
Step-by-step explanation:
The distance must be equal from C to A and points B to D.
I GIVE U BRAINIESt THINg PLZ HelP ASAP pLzBshiwwjbsshh
Answers
Answer:
She should of used quotient rule since the beginning but if not its step 2
Step-by-step explanation:
Which expressions are equivalent to x3x+8x3x?
Answers
Answer:
The answer is 27xStep-by-step explanation:
Solve 3n−2=4n−6 . Please help.
Answers
Step-by-step explanation:
Step 1: Subtract 4n from both sides.
3n−2−4n=4n−6−4n
−n−2=−6
Step 2: Add 2 to both sides.
−n−2+2=−6+2
−n=−4
Step 3: Divide both sides by -1.
−n−1=−4−1
n=4
Answer:
Am I correct?
If not can someone help me?
Answers
Answer:
Yes you're right!!
Step-by-step explanation:
Six less than 3/4 of a number is the same as the number. Find the number.
Answers
Answer:
-24
Step-by-step explanation:
7. The speed of one car is 20% less than the speed of a second car. What per cent more time does the first car need to travel the same route as the second car?
Answers
Answer:
25% or more
Step-by-step explanation:
t1 = d1/v1 , t2 = d2/v2.
d1 = d2 , and v1 = 0.8 v2
t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )
t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25
Alicia borrowed $3000 from a bike at a rate of 12% simple interest per year how much interest did she pay in four years
Answers
Answer:
$1440
Step-by-step explanation:
$3000 (12%) = 360
360 x 4 = 1440
Hope this helps!
Jay has lost his mother’s favorite necklace, so he will rent a metal detector to try to find it. A rental company charges a one time rental fee of $15 plus $2 per hour to rent a metal detector. Jay has only $35 to spend. What is the maximum amount of time he can rent the metal detector?
Answers
Answer:
he can rent it for 10 hours
Step-by-step explanation:
35 - 15 = 20
20 divided by 2 equals 10
Answer:
10 hours
Step-by-step explanation:
Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:
15 + 2x = 35
Subtract 15 from both sides
2x = 20
Divide by 2 on both sides
x = 10
CAN ANYBODY DO THESE
Answers
Answer:
1. 44.23077
2. 30%
3. 72
4. 214.2
5. 75%
Step-by-step explanation:
what is 17 + 64 + 124 + (3^2 x 5) - 14 = ?
Answers
Answer:
9x⁵ + 191
Step-by-step explanation:
Simplify: 17 + 64 + 124 + 9x⁵ - 14
Collect Like Terms: 9x⁵ + (17 + 64 + 124 - 14)
Simplify: 9x⁵ + 191
Brainliest Please!!?!!!!
- ElizabethKate
an angle measures 115.4° less than the measure of its supplementary angle what is the measure of each angle
Answers
Answer:
32.3° and
147.7°
Step-by-step explanation:
Supplementary angles are angles with the sum of 180°
if one of the angle is 115.4° less than other then
(180 - 115.4) ÷ 2 = 32.3° is the measure of smaller angle and
32.3 + 115.4 = 147.7° is the measure of larger angle
Help me ASAP for this question
A point located at (-5, 2) is translated right 3 units. What are the coordinates of the image?
(-2,5)
(-2,2)
(-5,5)
(-5, -1)
Answers
I need helps getting the reasons and statements for this problem please help
Answers
Proof:
In [tex]\triangle MNP[/tex] and [tex]\triangle OPN[/tex]:
[tex]MN = OP[/tex] (given)
[tex]MP = ON[/tex] (given)
[tex]NP[/tex] (common)
[tex]\therefore \triangle MNP \cong \triangle OPN[/tex] (SSS)
[tex]\therefore[/tex] [tex]\angle M \cong \angle O[/tex] since they are corresponding angles of congruent triangles.
Hope this helps :)
The variable m in slope intercept form represents the y- intercept ? True or false
Answers
No.
m represents the slope while b represents the y-intercept.
Answer: False
Step-by-step explanation:
Because the slope-intercept form is y=mx+b and m represents slope.
Find the measure of the angle indicated in bold
Answers
Answer:
29) 60°
30) 80°
Step-by-step explanation:
29)
8x + 4 = 11 + 7x
x = 7
∴ ∠ = 11 + 7(7) = 60
30)
14x - 4 = 12x + 8
2x = 12
x = 6
∴ ∠ = 14(6) - 4 = 80
The graphs below have the same shape. What is the equation of the red
graph?
Answers
Step-by-step explanation:
Option B is correct as the y-intercept is 6.
benjamin rode his bicycle 3.6 miles on saturday and 4.85 miles on sunday how many miles did he ride saturday and sunday combined?
Answers
Step-by-step explanation:
The total is 3.6 + 4.85 = 8.45.
Answer:
your answer is 8.45
its C
At Thompson Pass, 12 inches of snow fell during a 16 hour period. At this rate how much snow would fall in 24 hours? Pls help!
Answers
Answer:
18 inches of snow
Step-by-step explanation:
First, you'll have to find how much snow falls in a hour: 12/16 = .75 inches
Secondly, you'll multiply that by 24 to find the inches in a full day: 24 x .75 = 18
Answer:
18 inches of snow
Step-by-step explanation:
12:16
24 if you know the butterfly method which is 12/16=24 multiply 12 and 24 together and get 288 and then divide it by 16 which you get 18 inches of snow
Round 11,900 to the nearest thousand.
5 stars for a correct answer.
Answers
Answer:
12,000
Step-by-step explanation:
The two thousands that 11,900 is in between are 11,000 and 12,000 which are our two options to choose from. 11,900 is only 100 away from 12,000 and 900 away from 11,000. Because the distance between 11,900 and 12,000 is shorter than the distance between 11,900 and 11,000, this means that 12,000 would be our answer since it is closer.
(I'm really sorry if this is confusing, I'm not good with words)
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