Answer:
2cm/minStep-by-step explanation:
The Area of a triangle is expressed as:
A = 1/2 bh
b is the base of the triangle
h is the height of the triangle
Given
dh/dt = 3cm/min
dA/dt = 11cm²/min
height h = 5cm
Area = 10cm²
Get the base first
10 = 1/2b(5)
20 = 5b
b = 20/5
b = 4cm
Differentiating the area with respect to time
A(b, h) = 1/2 bh
According to product rule
dA/dt = 1/2{b dh/dt + h db/dt}
Substitute the given parameters and get db/dt
11 = 1/2{4(3)+5db/dt}
11 = 1/2{12+5 db/dt}
11 = 6 + 5/2 db/dt
11-6 = 5/2 db/dt
5 = 5/2 db/dt
1 = 1/2 db/dt
cross multiply
2 = db/dt
db/dt = 2cm/min
Hence the rate at which the base of the triangle is changing id 2cm/min
Which property
If 9x=27, then 27=9x
Answer:
symmetric property
Step-by-step explanation:
x=y then y=x
GIVING BRAINLY!!!!! PLSSSSS HELPPPP
the sum of two whole numbers is 63 . The difference between these 2 whole numbers is less than 10. FInd all the possible pairs
Answer:
(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)
Step-by-step explanation:
A local BBQ restaurants offers 2 side dishes with a lunch plate. There are 7 side dishes. How many choices of side dishes does a customer have
Step-by-step explanation:
This is a question that bothers combination. Combination has to do with selection.
When selecting r objects out of a pool of n objects, the number of ways this can be done is:
nCr = n!/(n-r)!r!
If a local BBQ restaurants offers 2 side dishes with a lunch plate, and there are 7 side dishes, the number of choices that the customer have is expressed as:
7C2 = 7!/(7-2)!2!
7C2 = 7!/(5)!2!
7C2 = 7*6*5!/5! * 2
7C2 = 7*6/2
7C2 = 42/2
7C2 = 21 choices
Hence the customer has 21 choices of side dishes to make
I WILL MARK BRAINLIEST Write the equation of each line in slope-intercept form. Then graph the line. Show work.
1) Horizontal line through (2,3)
2) x-intercept 4, y-intercept -3
Answer: 1.) y= 3
2.) y = 3/4 x -3
Step-by-step explanation:
1. A horizontal line passes through the y-axis.and includes all x values.
2. use slope intercept form y = mx + b
To find the slope, m, take difference in y-values divided by difference in x-values. b is the y-intercept , given in the question. -3
0 -(-3)/ 4-0 = 3/4 = m
insert the values into the equation:
y = 3/4 x - 3
Jewelry store buys a gold watch to sell the price of the watch is marked up 45% the store sells the watch for $2610 how much did the jewelry store pay for the watch
Answer:
45 x 2610
100 = 1174.5
Step-by-step explanation:
HELP ASAP BHYUKFCY FVCTUKF
Answer:
a
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
this is because both number are to the left of zero which makes both numbers negative which leaves you with one answer.
Could anyone help with “b” on the bottom. I’m not sure what it’s asking. Thank you!!
Answer:
yes
Step-by-step explanation:
the question is asking if the mean helped you find the number that pops up the most, so in this case 3.
by using the mean we will do
0+0+3+3+5+7+2+2+3+3+3+5 divided by 12
giving us a result of 3, in this case YES it does help at better explaining the typical value
Write 24/200 as a decimal.
Answer:
0.12 is your answer.
Step-by-step explanation:
i need brainlyest PLZ!!!!!!!
Amarah uses 4 2/5 pounds of meat to make five hamburgers. How much meat is used to make one
hamburger? ___ pound per burger
Answer:
8/25 Ib per burger.
Step-by-step explanation:
2/5 * 4 = 1.6
1.6 / 5 = 8/25
Please help it’s a long test I’ve been at it for 2 hours
Answer:
the answer is A
Step-by-step explanation:
Hoped this helped u
Answer: Vertical Angles
Hope this helps :)
Chen recorded the number of texts he sent and the number of tweets he posted each day for a month. The equation y = 5x + 4,
where x is the number of texts and y is the number of tweets, models the relationship between these two quantities. Identify the
slope and explain its meaning within this context.
Answer/Step-by-step explanation:
The relationship between number of texts, x, and number of tweets, y, is represented in the slope-intercept form by the equation, y = 5x + 4.
The slope of this equation is 5.
In this context, the slope, 5, means 5 tweets are made for every 1 text sent each day.
This slope is positive meaning, as text sent increases, also, tweets increased.
Solve 7 + x - 15 = -2 2/3
Answer: i am 99.9% sure the answer is 16/3 or the other forms of it 5.3 repeating three or mixed number 5 1/3
which one is right?
l/w or w/l
the w is width and the l is length
Can someone please explain this to me ?
Answer:
Not sure how to explain but your answer is x=11
Step-by-step explanation:
The number of different simple random samples of size 5 that can be selected from a population of size 8 is
Answer:
Number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways
Step-by-step explanation:
Step 1: Stating the combination formula
The number of selections of a number n, taking r at a time is given by the formula: [tex]\frac{n!}{(n - r!)r!}[/tex]
From the formula above, n is population size = 8
r is sample size = 5
Step 2: Substituting the values of n and r
Number of possible selections = 8!/(8 -5)*5! = 8!/3! * 5!
Number of possible selections = [tex]\frac{8*7*6*5*4*3*2*1}{3*2*1 * 5*4*3*2*1}[/tex]
Number of possible selections = 56
Therefore, number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways
-4
- 2
What is the solution to the systems of equations shown above?
Helppp me :(
Answer:
6
Step-by-step explanation:
-4+-2 ?? did that hellp
Find the midpoint of the two points on the circle (-2,1) and (5,-4)
Answer:
1.5,-1.5
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer: (1.5,-1.5)
Step-by-step explanation:
I hope it’s right
2. Niko was solving the equation 4(x-5)+7=13 and wrote as his first step 4x – 20+7=13. Which of the
following justifies this manipulation?
(1) the commutative property of multiplication
(2) the distributive property
(3) the multiplicative property of equality
(4) the additive property of equality
Answer:
2) The distributive property
Solve for x. Give your answer as two exact values: please show steps
2^2 − 7 − 13 = 0
Answer:
No Solution
Step-by-step explanation:
2^2-7-13=0
4-7-13=0
-3-13=0
-16=0
No Solution
Paula says that she can draw an array with a total of 17 counters placed in3 rows
Answer:
impossible
Step-by-step explanation:
17 divided by 3 is a number with a remainder
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer: D
Step-by-step explanation:
0.684 and 0.1222
The distance between the points (2, -4) and (3, 8) is:
Answer:
1,12
Step-by-step explanation:
Select the values that correctly complete the problem.
a = __
b = __
c = __
d = __
e = __
a = ✔ 2
b = ✔ 4
c = ✔ 3
d = ✔ 2
e = ✔ 3
Find three consecutive even integers if their sum, decreased by the third, equals -22.
As per linear equation, the required three consecutive even integers those have a sum of - 22 are - 8, -10, - 12.
What is a linear equation?"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."
Let, three consecutive even integers are x, x+2, and x+4.
Therefore, sum of these three consecutive even integers is
= [x + (x + 2) + (x + 4)]
Given, the sum of the three consecutive even integers decreased by the third is - 22.
Now, [x + (x + 2) + (x + 4)] - (x + 4) = - 22
⇒ x + (x + 2) = - 22
⇒ 2x + 2 = - 22
⇒ 2x = -24
⇒ x = - 12
Now, x + 2 = - 12 + 2 = - 10
Similarly, x + 4 = - 12 + 4 = - 8
Therefore, required three consecutive even integers with a sum of - 22 are - 8, - 10, - 12.
Learn more about a linear equation here: https://brainly.com/question/11897796
#SPJ2
Solve the system by Substitution.
x−y=7
−2x+7y=−19
A. No Solution
B. (6, -1)
C. (7, 6)
D. (6, 5)
Answer:
x=6 y=-1
Step-by-step explanation:
x=7+y
-2(7+y)+7y=-19
x=7+y
-14+5y=-19
x=7+y
5y=-5 ===> y=-1
x=7-1
y=-1
x=6
y=-1
There are 8 more girls than boys in a school play. The ratio of boys to girls is 5:7. How many boys and how many girls are in the play?
Answer:
The total number of boys and girls in the play is 48
Step-by-step explanation:
Don't ask how I know this, I just do.
The number of boys in school play will be 20 and number of girls in school play will be 28.
What do you mean by ratio ?
Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.
It is given that number of girls is 8 more than boys in a school play.
Ratio of boys to girls = 5 : 7
Let's assume the total number of boys in school play is x.
This meant the total number of girls in school play is :
= x + 8
We can write them in proportion form as :
x : x + 8 = 5 : 7
or solving it we get :
[tex]\frac{x}{x+8}[/tex] = [tex]\frac{5}{7}[/tex]
or
7x = 5(x+8)
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 20
or number of boys in school play is 20.
So , number of girls in school play will be :
= 20 + 8
= 28
Therefore , the number of boys in school play will be 20 and number of girls in school play will be 28.
Learn more about ratios here :
brainly.com/question/2914376
#SPJ2
what are the correct factor pairs of 20
(9^3 ● 9^5 ● 9^-8)^14
Answer:
1Step-by-step explanation:
(9^3 · 9^5 · 9^-8)^14 =9^((3 + 5 - 8)·14) =9^(0·14) =9^0 =1Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A'B'C'?
A. A'(4, 6), B'(6, 10), C'(7, 4)
B. A'(2, 3), B'(3, 5), C'(7, 4)
C. A'(4, 6), B'(6, 10), C'(14, 8)
D. A'(4, 6), B'(3, 5), C'(14, 8)
Rewrite the function by completing the square.
f(x) = x² – 12x – 29
Answer:
-6 and -65
Step-by-step explanation: