The amount of material needed by Marta to make the flag is;
[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] square inch.
The total cost of making the flag is;
[tex]\rm 0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex] dollar.
Given
Marta is making a flag with the given dimensions.
The perimeter of the flag is 100 inches.
Let us consider that the flag has a triangular shape.
Hero's formula;According to the Hero's formula;
The area of the triangle is given by;
[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where, s is the semi perimeter and a, b, and c are the sides of the triangle.
Semi perimeter s = P/2,
Since the perimeter of the flag is 100 inches.
[tex]\rm S=\dfrac{100}{2}\\\\S=50[/tex]
The dimensions of triangular shape are [tex]\rm d_1, d_2 \ and \ d_3[/tex].
Then,
The area of the triangular flag becomes;
[tex]\rm Area =\sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]
So the amount of material needed to make the flag is;
[tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex]
Therefore,
The cost of material = C = $0.15 per square inch
So the total cost in making the flag will be;
[tex]\rm C\times A=0.15 \times A\\\\=0.15 \times\rm \sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].
Hence, The amount of material needed by Marta to make the flag is [tex]\rm Area =\sqrt{50(50-d_1)(50-d_2)(50-d_3)}[/tex].
To know more about Hero's formula click the link given below.
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Help meeee!! I’ll give brainliest!!!
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
i need help on a and b pls
i) 14,17
ii) 8,14,17,16,9,15,
4. Eddie invests £4000 into a savings account, the bank pays him 4% compound
interest per annum. At the end of n years he has £4679.43 to the nearest
penny. What is the value of n?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 4679.43\\ P=\textit{original amount deposited}\dotfill &\pounds 4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]
[tex]4679.43=4000\left(1+\frac{0.04}{1}\right)^{1\cdot t}\implies \cfrac{4679.43}{4000}=(1.04)^t \\\\\\ \log\left( \cfrac{4679.43}{4000} \right)=\log(1.04^t)\implies \log\left( \cfrac{4679.43}{4000} \right)=t\log(1.04) \\\\\\ \cfrac{\log\left( \frac{4679.43}{4000} \right)}{\log(1.04)}=t\implies 4\approx t[/tex]
0.9(x−20)=830
x=
0.9x+20=830
x=
Answer:
Step-by-step explanation:
1) x-20 = 830/0.9 = 8300/9
So x-20 = 8300/9 -> x=8300 /9 + 20 = 8480/9
2)try on your own
I need help!! If possible show work pls!! Thx!
Answer: The answer is D .
Step-by-step explanation:
Answer:
A. (0,0)
Step-by-step explanation:
Substitute (0, 0) into both of the equations
(0, 0) = (x, y)
x = 0
y = 0
{ 2(0)−(0)≥−2
{8(0)−(0)<5
Multiply 2 and 0 to get 0.
0−0≥−2 and 8×0−0<5
Subtract 0 from 0 to get 0.
0≥−2 and 8×0−0<5
Compare 0 and −2.
true and 8×0−0<5
Multiply 8 and 0 to get 0.
true and 0−0<5
Subtract 0 from 0 to get 0.
true and 0<5
Compare 0 and 5.
true and true
The conjunction of true and true is true.
Also look at the graphs
I have 10 apples and lost 5 then got 5 more apples from my mom. My mom also gave me 20 oranges so i ate 12 oranges and 5 apples how many oranges do i have left over?
Answer:
you would have 8 oranges and 5 apples
A store manager gathers some demographic information from the store's customers. The following chart summarizes the age-related information they collected:
Age Number of Customers
< 20 <20 83
20-29 63
30-39 99
40-49 65
50-59 73
≥ 60 ≥60 69
One customer is chosen at random for a prize giveaway. (Round answers to 4 decimal places.)
a. What is the probability that the customer is at least 20 but no older than 59?
b. What is the probability that the customer is either older than 60 or younger than 40?
c. What is the probability that the customer is at least 60?
Using it's concept, it is found that the probabilities are as follows:
a) 0.6637.
b) 0.6947.
c) 0.1527.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 83 + 63 + 99 + 65 + 73 + 69 = 452 customers.
Item a:
63 + 99 + 65 + 73 = 300 are at least 20 but no older than 59, hence:
p = 300/452 = 0.6637.
Item b:
83 + 63 + 99 = 245 are younger than 40.
69 are older than 60.
Hence:
p = (245 + 69)/452 = 0.6947.
Item c:
69 customers are at least 60, hence:
p = 69/452 = 0.1527.
More can be learned about the probability concept at https://brainly.com/question/15536019
An amphitheatre has 18 seats in the first row, 20 in the second, 22 in the third, and so on, for 22 rows. How many seats are in the amphitheatre?
The amphitheatre has seats,
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0.55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
Answer:
$0.55 per cupcake bc if you plug 1 in for x then c would be equivalent to $0.55
Solve for x and y.
2 answers
Please help me it’s a long but easy question :(
Suhaila works mowing lawns and babysitting. She earns $7.80 an hour for mowing and $7.60 an hour for babysitting. How much will she earn for 6 hours of
mowing and 1 hour of babysitting?
Answer:
she earns 7.80 an hour for mowing and 7.60 for babysitting so
6 hours of mowing that is 7.80 x 6 which is $46.8
and 1 hour of babysitting is $7.60 so we add up which is $54.40 in total
Answer:
$54.40
Step-by-step explanation:
You do 7.80*6=46.80 and 760*1=7.60 then add 46.80+7.60=54.40.
Eddie had 6 boxes of crayons. Each box contained an equal number of crayons After giving her friend 10 crayons, she was left with a total of 26 crayons. How many crayons were in each box before Eddie gave the crayons to her friend?
Answer:
6
Step-by-step explanation:
6x-10=26
+10 +10
6x=36
divide by 6
x=6
Find the missing side lengths. Help pleaseee
Help me please I really need help ,,,,…
Mr.cheeks collects 95 strawberries to feed his family. He provides the same number of strawberries to each of his 6 hamster children. After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself
Answer:
Each Children gets = 15 strawberry
leftover for Mr.Cheek = 5 strawberry
Step-by-step explanation:
Given;
Mr.cheeks collects 95 strawberries to feed his family.
He provides the same number of strawberries to each of his 6 hamster children.
To Find;
After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself
Solve;
Since, Mr.cheeks total strawberries is 95 and he has 6 hamster children
we have to divide to see how much each children gets
95/6 = 15 with 5 remainder.
Hence, we can conclude that each children gets 15 and Mr.Cheeks have 5 leftover for himself
[RevyBreeze]
an employee earns 8% commission on the sale on clothing sold if she sells 4,500 with of clothing worth will help commission be
Answer:
360
Step-by-step explanation:
8% of 4500 is 360
Use the distance formula to find the distance, to the nearest tenth, between F(10,5) and G(-1,2)
Step-by-step explanation:
the distance formula
d = sqrt((x2 - x1)² + (y2 - y1)²)
is simply based on the Pythagoras formula
c² = a² + b²
or
c = sqrt(a² + b²)
because the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference of the 2 points.
so, in our case here
d = sqrt((10 - -1)² + (5 - 2)²) = sqrt(11² + 3²) = sqrt(121 + 9) =
= sqrt(130) = 11.40175425... ≈ 11.4
533.93 divided by 2 PLEASE help
Answer:
The answer is 266.965
6 × 1 + 5 × 1/10 please answer
Answer: 13/2 or 6 1/2
Step-by-step explanation:
6 × 1 + 5 × 1/10
6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5
6 + 1/2
Use 2 as a common denominator so multiply 6 by 2
12/2 + 1/2
13/2 or 6 1/2
Simplify the following expression 5(m+1)-1
[tex]5(m + 1) - 1 \\ 5m + 5 - 1 \\ 5m + 4[/tex]
Answer:
5m+4
Step-by-step explanation:
Sally went to buy candy for her valentine. The box of candy was $5.65 before tax. If tax is 5.25%, what will Sally’s total be with tax?
Answer:
5.946625
Step-by-step explanation:
i think this is right
What number is half way between –3 and 4 ?
Answer:
.5?
Step-by-step explanation:
I think I'm right.................maybe?????
describe the slope of the line (-3,1) and (2,-2)
Answer:
1,5
Step-by-step explanation:
You do 2-1 which is 1
Then do 2-(-3) which is 5 so the answer is (1,5)
Ramon read twice on Saturday. In the morning, he read for
1
2
hour. That afternoon, he read for
5
12
of an hour. How much time did Ramon spend reading on Saturday?
Answer:
if the numbers are separated by a fraction bar the response should be 11/12th of an hour on Saturday.
Step-by-step explanation:
1/2=6/12
5/12+6/12=11/12
how do u solve 1.5 divided by 0.06
Answer:
0.06÷15
Step-by-step explanation:
15)0.06(0.0
- 0 |
00
00
Find the next two terms in this sequence, 4,8 ,16
Answer:
32, 64
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2
to obtain a term in the sequence multiply the previous term by 2
16 × 2 = 32
32 × 2 = 64
Keisha is buying a pair of jeans that are regularly
$54.99. If they are on the clearance rack for 35%
off and sales tax is 7.2%, what is the total amount
she will pay?
Circle the smallest fraction:
1/4
1/5
5/16
1/3
Answer:
B
Step-by-step explanation:
1/4=25%
1/5=20%
5/16=31.25%
and 1/3=33%
jayden and chandra are cleaning the house. it has 12 rooms, and each room is about the same size. when jayden cleans by himself, it takes him 6 hours. when chandra cleans by herself, it takes her 12 hours. when they clean the house together, they finish in 4 hours. when they work together, how many rooms does jayden clean and how many does chandra clean?
Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned
by Jayden is twice the number of rooms cleaned by Chandra.
Response:
Jayden cleans 8 rooms while Chandra cleans 4 roomsWhich method can be used to find the number of rooms cleaned by Jayden and Chandra?Number of rooms in the house = 12
The time that Jayden takes to clean the house = 6 hours
Time that it takes Chandra to clean the house by herself = 12 hours
Time it takes both of them to clean the house = 4 hours
Required:
The number of rooms that Jayden clean and the number of rooms that
Chandra cleans when they work together.
Solution:
Given that the time it takes Jayden to clean the house is half the time
taken by Chandra.
Therefore;
The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;
Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1
Total number of rooms cleaned = 12
[tex]Number \ of \ rooms \ cleaned \ by \ Jayden = \dfrac{2}{2 + 1} \times 12 = \underline{8 \ rooms}[/tex]
The number of rooms cleaned by Chandra = 12 - 8 = 4 rooms
Learn more about ratios here:
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How do I solve this?
Answer:
below the ans
Step-by-step explanation:
cos k = 5/23
= .21