17.9%of what number is 14.857
Answer:
83.100559
Step-by-step explanation:
0.179x=14.857
x=14.857/0.179
x=83.100559
Given: △ABC, m∠A=60°
m∠C=45°, AB = 9
Find: Perimeter of △ABC
Area of △ABC
ABC is scalene
Answer:
Perimeter = 32.3
Area = 95.24
Step-by-step explanation:
Given:
△ABC, m∠A=60°
m∠C=45°, AB = 9
To find:
Perimeter of △ABC
Area of △ABC
Solution:
Using angle sum property in a triangle:
m∠A + m∠B + m∠C = 180°
m∠B = 180° - 45° - 60° = 75°
As per Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
Where
[tex]a[/tex] is the side opposite to [tex]\angle A[/tex]
[tex]b[/tex] is the side opposite to [tex]\angle B[/tex]
[tex]c[/tex] is the side opposite to [tex]\angle C[/tex]
[tex]\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08[/tex]
[tex]\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22[/tex]
Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3
Area of a triangle is given as:
[tex]\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)[/tex]
[tex]\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}[/tex]
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:
9x-3
Step-by-step explanation:
2x2=4
4+4x-3
4x-1
5x-2
Add them together
4x-1+5x-2= 9x-3
You have a garden row of 20 watermelon plants that produce an average of 30 watermelons apiece. For any additional watermelon plants planted, the output per watermelon plant drops by one watermelon. How many extra watermelon plants should you plant?
Answer: You should plant another 25 watermelons.
Step-by-step explanation:
The total number of watermelons can be calculated as:
W = (20 + x)*(30 - x)
x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.
We want to maximize this equation, so let's distribute the product.
W = 600 + 30*x + 20*x - x^2
W = 600 + 50*x - x^2
Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.
To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:
W'(x) = dW/dx = 50 - 2*x
W'(x) = 0 = 50 - 2*x
2*x = 50
x = 50/2 = 25.
Then the maximum output will be if you plant 25 more watermelon plants.
And this will be:
W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons
You should plant 5 extra watermelon plants to maximize production.
Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:
20 x 30 = 600 24 x 26 = 624 25 x 25 = 625 26 x 24 = 624
Therefore, you should plant 5 extra watermelon plants to maximize production.
Learn more in https://brainly.com/question/2173344
What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32
Answer:
32
Step-by-step explanation:
please make me brainlist
Anjelica is using synthetic division to divide 2x3−9x2−21x+10 by x+2 .
Which answer is correct?
Answer:
B I the answer I just did the same question
Anjelica is using synthetic division to divide
[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]
Steps given in option B are correct
Given :
Divide the given expression
[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]
Apply synthetic division
In synthetic division , we write all the coefficient inside the division
then solve the denominator for x and write it outside
[tex]x+2=0\\x=-2[/tex]
so we write -2 outside the division sign
Take down first number 2 as it is . Then multiply with -2 and put it below the second number . Add it and write it down . Continue the process.
-2 2 -9 -21 10
0 -4 26 -10
--------------------------------------------
2 -13 5 0
the steps given in option B are correct
Learn more : brainly.com/question/18788426
Divide 4 1/2 by the following unit fractions.
a) 1/8
Answer:
4 1/2 divided by 1/8 = 16
Step-by-step explanation:
Look at the attachment below: Hope it helps!
The solution of expression divided [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is, 36
Given that,
Divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex].
Now, The expression divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is written as,
⇒ [tex]4\dfrac{1}{2} \div \dfrac{1}{8}[/tex]
Change the divide symbol into multiplication,
⇒ [tex]4\dfrac{1}{2} \times 8[/tex]
Change the fraction into an improper fraction,
⇒ [tex]\dfrac{9}{2} \times 8[/tex]
⇒ [tex]\dfrac{72}{2}[/tex]
⇒ 36
Therefore, the solution of expression is, 36
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Solve these inequalities:
7x-1<26-2x
please help me with this one guys ;-;
Answer: inequality form x < 3 interval form: ( -∞, 3)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
last night's Dansball game, there were 4 walks and 15 hits. Express the ratio of walks to hits , written in three different ways
Answer:
4/15, 4:15, 4 to 15
Step-by-step explanation:
Let W be the walks and H the hits, then,
WAY1:
[tex]\frac{W}{H} =\frac{4}{15}[/tex]
WAY2:
W:H⇒4:15
WAY3
W to H ⇒4 to 15
subtracting decimals
0.89-0.6
Answer:
o.29 answer of this question
Answer:
0.29
Step-by-step explanation:
0 . 8 9
-0 . 6 0
-------------
0 . 2 9
--------------
Hope this helps
plz mark as brainliest!!!!!!!!
Answer this please thanks
Answer:
The answer is yes, since the graph is an equal line throughout.
Step-by-step explanation:
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:
[tex]E(X)=\frac{r}{p}[/tex]
r is number of times it is repeated
p is probability it happens
Solving:
[tex]E(X)=\frac{5}{1/6}[/tex]
E(X) = 30
Variance is given by:
[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]
[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]
[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
Subtract 5x – 2 from –3x +4. O 2x + 2 o 80 – 6 –80 + 2 -80 + 6 +
Answer:
8x - 6
Step-by-step explanation:
5x - 2 - (-3x + 4)
1) Distribute
5x - 2 + 3x -4
2) Combine like terms
8x - 6
Answer:
D: -8x+6
Step-by-step explanation:
(-3x+4)-(5x-2) This is the set up
(-3x-5x)+(4--2) Combine like terms
-8x+6 Simplify
About 50% of babies born with a certain ailment recover fully. A hospital is caring for six babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.(a) Is the experiment a binomial experiment?⪠Yes⪠No(b) What is a success in this experiment?⪠This is not a binomial experiment.⪠Baby recovers⪠Baby doesn't recover(c) Specify the value of n.A. n = _____B. This is not a binomial experiment.(d) Specify the value of p.A. p = _____B. This is not a binomial experiment.
Answer:
a. yes it is a binomial experiment
b. success is that baby recovers
c. n = 6
d. p = 0.5
e. q = 0.5
f. X: 0,1,2,3,4,5,6
Step-by-step explanation:
a.
the answer is yes this is a binomial experiment. This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.
b.
success: baby recovers
c.
n = number of babies born with ailment. n = 6
d.
p = 50% = 0.5
e.
q = 1-p = 1-0.5
q = 0.5
f.
possible values of X: 0,1,2,3,4,5,6
Write an equation for the line in the given form.
Contains the points (2,8) and (3, 11); slope-intercept form
Answer:
y = 3x + 2
Step-by-step explanation:
y=mx+b is slope intercept form
to find slope (m):
y2-y1/x2-x1 = 11-8/3-2 = 3
your slope is 3 so 3x
to find the y-intercept (b):
plug in y and x from either of the two points
(2,8)... 8=3(2)+b and solve for b which equals 2
so final equation is y=3x+2
Which list shows the absolute values in order from least to greatest? Question 5 options: |−2.36|, |−5.98|, 6.1 0.2, |−0.3|, |0.1| |7.6|, 5.3, 1.3
Answer:
i dont know maybe you should search google. best of Luck
Step-by-step explanation:
For the function h(x)=4x-6 find the following: a. f(0) b. f(3) c. f(1/4)
Answer:
a.) -6
b.) 6
c.) -5
Step-by-step explanation:
Plug in each value for x
f(0) = 4(0) - 6 = -6
f(3) = 4(3) - 6 = 6
f(1/4) = 4(1/4) - 6 = -5
Answer:
a f)0)=4(0) - 6= -6
b f(3)=4(3) - 6=6
c f(1/4)=4(1/4)_6= -5
If x is the principal square root of 7, what must be true?
Which proportional statements are true for finding the value of x? Check all that apply. group of answer choices 6=916 6 x = 9 16 6=916 6 x = 9 16 616=9 6 16 = 9 x 616=9 6 16 = 9 x 96=16 9 6 = x 16 96=16 9 6 = x 16 9=166 9 x = 16 6 9=166 9 x = 16 6 9=616
Answer: the answers are:6/16=9/x: 9/6=x/16: and 9/x=6/16
Step-by-step explanation:
help find the missing side
Answer:
12.9
Step-by-step explanation:
tanθ=opp/adj
tan 24° = x/29
x = 29 tan 24°
x = 12.9
PLEASEEEE!!!!! HELPPPPPPPPPPP
Answer:
what's your question I can't understand
Answer:
what's the question
Step-by-step explanation:
please write complete question
have you ever have a dream that you that
Answer:
that you would you would you could do
Please hurry. Please
Answer:
yes
Step-by-step explanation:
12p<=56
12*3<=56
36<=56
Correct.
Hope this helps :D
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes. What is the snails rate in Minutes per Meters
Answer:
Step-by-step explanation
Given
a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
Solution
So
the snails rate =11/8÷11/2
= 1/4Minutes per Meters
So the answer is 1/4 minute per meter
It is the quantity of an amount of something at a rate of one of another quantity.
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 60 minutes.
1 mile in 20 minutes.
We have,
Snail travels:
[tex]1\frac{1}{8}[/tex] meters = [tex]1\frac{1}{2}[/tex] minutes
9/8 meters = 3/2 minutes
Multiplying 8/9 on both sides.
1 meters = 8/9 x 3/2 minutes
1 meter = 4/3 minutes
This means that the snail's rate in minutes per meter is 4/3 minutes.
Thus,
If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.
The snail's rate in minutes per meter is 4/3 minutes.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
Write and algebraic expression for 10 less than the product of seven and F
Answer:
f(x) = 7x-10
Step-by-step explanation:
Complete question;
Write and algebraic expression for 10 less than the product of seven and a number.
Let the number be x;
The product of seven and the number is expressed as;
= 7 * x
= 7x
If 10 is less than the product of seven and a number then the expression becomes
7x - 10
The required algebraic expression is f(x) = 7x-10
On April 1 the ABC Inc. paid $20,400 to Acme Realty for 12 months Rent beginning May 1. The company did the correct recording on April 1. If financial statements are prepared on December 31st, what is the adjusting entry needed on the balance sheet?
Decrease PrePaid Rent 20,400 / Increase Rent Expense 20,400
Decrease PrePaid Rent 13,600 / Decrease Rent Expense 13,600
Decrease PrePaid Rent 13,600 / Increase Rent Expense 13,600
Decrease Cash 20,400 / Increase PrePaid Rent 20,400
Answer:
Decrease PrePaid Rent 13,600 / Increase Rent Expense 13,600
Step-by-step explanation:
Given that:
The total amount paid = $20400 to Acme Realty for 12 months;
Thus, for each month rent; we get = $20400/12 = $1700
Now, the moth expired from May 1 to Dec 31 = 8 months
The rent expense for the year will be: monthly rent × number of months
= 1700 × 8
= $13,600
Thus, the balance sheet's adjusting entry will be to record 13,600 as the expense and decrease the total 20400 rent paid with 13600 and book it as prepaid rent as of December end.
Question 6
Ryan spent half of his weekly allowance on candy. To earn more money, his parents let him clean the windows in his house for $9. He
ended with $15. Which equation would represent this situation?
Answer:
x=6
Step-by-step explanation:
Let X = Rob's weekly allowance
If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X
After he earned $6 for cleaning the oven, he had $9.
So,
(1/2)X + 6 = 9
(1/2)X = 3
X = 6
35) Find BC
B
31°
58°
А
33 km
C
Answer:
91°
Step-by-step explanation:
180° in a triangle; so
31+58=89
180-89=91
BC=91°
What fraction of the diagram above
is not shaded? (All the squares are
equal in area).
what is the answer to the question expression 42+3.5h factored
Answer:
7/2(12+h)
Step-by-step explanation:
The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
Here, we have,
given that,
the expression 42+3.5h
we have to find the factored form.
From the given information:
The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5
So factoring 3.5 from the expression 42 + 3.5h, we get:
= 3.5 ( 12 + h)
= 7/2 ( 12 + h)
Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ6