Answer:
M=1.05n-0.172
Step-by-step explanation:
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18
and AC 36, what is the length of AD?
A
D
36
18
B
Answer:
8 is the length
Step-by-step explanation:
The length of AD is 9 units from the given right triangle ABC.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
Given right triangle ABC with altitude BD drawn to hypotenuse AC.
Given that, AB = 18 and AC = 36
Using Pythagoras theorem
AC²=AB²+BC²
⇒ 36²=18²+BC²
⇒ BC²=1296-324
⇒ BC²=972
⇒ BC=31.18 units
We know that, area of a triangle =1/2 × Base × Height
= 1/2 × 31.18 × 18
= 280.62 square units
Now, area of a triangle ABC with base AC and height BD
That is, Area = 1/2 ×36×BD
⇒ 18BD=280.62
⇒ BD=280.62/18
⇒ BD=15.6
Consider ΔBDA
AB²=AD²+BD² (Pythagoras theorem)
18²=x²+15.6²
⇒ x²=18²-15.6²
⇒ x=9 units
Therefore, the length of AD is 9 units from the given right triangle ABC.
To learn more about the right angle visit:
https://brainly.com/question/3770177.
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At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?
Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
The next model of a sports car will cost 5.6% less than the current model. The current model costs $52,000. How much will the price decrease in dollars? What
will be the price of the next model?
Answer:
49,088
Step-by-step explanation:
First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.
Second, you need to subtract 2,912 from 52,000 which is 49,088
Q. Identify the slope-intercept equation
Will give brainlyest to the first correct answer! Easy points
Answer:
its most likely A
Step-by-step explanation:
Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A
Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?
A $28.80
B $2,880.00
C $508.80
D $768.00
Answer:
c
Step-by-step explanation:
Can someone help me with this. Will mark brainliest.
diagonals of a parallelogram bisects each other making an angle of 90°.
so, your answer is True
Answer:
A. True
Step-by-step explanation:
The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.
Help me please. I don't understand this.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.
It seems to be a good idea to start with the formula for the volume.
Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).
Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.
Evaluating it gives the volume in cubic units.
_____
Additional comment
If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).
However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.
Add fractions with unlike denominators
Answer:
1 5/12 i think im sorry if i get it wrong.
Step-by-step explanation:
There were 680 gallons of water ALREADY in a 1600-gallon pool. Water is being pumped into the pool at the rate of 320 gallons per hour. Let x represents the number of hours. Find how many hours it will take to fill the pool.
Answer:
2 7/8 hours
Step-by-step explanation:
Answer:
2hrs 12 mins
Step-by-step explanation:
5hrs = 5x = 1600 question asks us to find 680
2 1/2x + 680-640 =-x + 2.8hrs
2x + 40 = x + 2.8hrs
2x + 40 = 680
Then use the 2.8 to convert into hrs : minutes ie) 0.8 x 60
0.8 * 60 = 48 minutes
Then go back to x + 2.8hrs = x + 2hrs 48mins
2x + 48 = 60
2x + 48 = 60
2x+ 60 - 48
x = 2:12 hours
Simultaneous Equations - 5p-2q=9 3p+2q=7
Apnswer:
p = 1
q = -2
Step-by-step explanation:
5p - 2q = 9 eqn 1
3p + 2q = 7 eqn 2
subtract equation 2 from 1
2p = 2
p = 1
Substitute for p in equation 1
5(1) - 2q = 9
5 - 2q = 9
-2q = 4
q = -2
(GIVING BRAINLIEST) The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have?
Answer:
10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft
Step-by-step explanation:
Find the area of the circle
Answer:
Q.3 area of circle=pi×r²
area of circle=3.14×(9mm)²
area of circle =254.34mm²
Q.6 area of circle= 3.14×(1.5in)²
area of circle =7.065in²
Answer:
wait what was the question gsdnABNEfglaabgjggse?????
Step-by-step explanation:
Answer me this please!
Knowing the absolute value of the numbers will help you determine which is closest to ________
Answer:
0
Step-by-step explanation:
absolute value disregards -/+
What is the length of a in this triangle?
a^2 = 37^2 - 35^2
a^2 = 1369 - 1225
a^2 = 144
___
a = /144
a = 12
will mark brainlliest
Answer:
1
Step-by-step explanation:
Answer:
b is the cprrect answer
Step-by-step explanation:
please mark this answer as brainliest
sorry guys i really hate geometry
Answer:
54.3
Step-by-step explanation:
4/3 x pi x 2.35^3
Multiply. Write your answer as a fraction in simplest form.
−1(45)=
NO LINKS PLEASE !!!!!!!!!!!!!!!!!!
if you do i will report your answer
Answer:
no worries :)
Step-by-step explanation:
Answer:-45
Step-by-step explanation:
the temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop
Answer:
11
Step-by-step explanation:
2-8 you need to minus the first number
100 1/4 in simplest radical form.
Answer:
[tex]\sqrt[4]{100}[/tex]
Step-by-step explanation: Hope this helped
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. w+24=42
2. 18
Answer:
not 100% but choose w+24=42 and 18 pounds for the box
Step-by-step explanation:
if its 42 pound i total and they told yoy the amount they have for the honeycrisp subtract 42 -24 = 18. 18 is the amount of golden appels
I need this done by tomorrow 4.
please help meee
a. square root of 4 and 3
b. square root of 2
c. 4
d. square root of 8 and 3
Answer:
a) 4sqrt3
Step-by-step explanation:
8/2=4
4*sqrt3=4sqrt3
look up 30 60 90 triangle
Use the information in the picture.
Is it a parallelogram? YES
NO
If yes, give the theorem:
SOMEONE PLS HELP ASAP I RLLY NEED HELP PLS DONT BE A BOT PLS AND TY
Answer:
x = 4
Step-by-step explanation:
Given a tangent and a secant from an external point, then
square of the hypotenuse is equal to the product of the external part and the entire secant, that is
DB × CB = AB² , that is
9x = 36 ( divide both sides by 9 )
x = 4
i literally don't understand this at all.
Answer:
its just exaplining how does this exrcise work example 1^1 would be 1x1/
1^3 1x1x1x1/ 3^5 3x3x3x3x3/ 3x3=9 9x3 =27 27x3 =81 81x3=243
Step-by-step explanation:
Find a and b if
2^a×3^b=12
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
Please find where the minimum value occurs. And find the minimum value.
Answer:
The minimum value would be -4.
Boy Scout camp and walk 6 km due east he then turns and walks 9 km due south what is his distance away from the camp at this point
convert 0.00001 to a power of 10
Answer:
1 × 10⁻⁵
Step-by-step explanation: