Answer:
C. 25² + 36² = 49²
Step-by-step explanation:
We use the Pythagoras theorem to determine if the triangle is a right angle triangle. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In geometry, hypotenuse is the longest side in a right angle triangle. This means it would have the highest number.
A. 36+ 25= 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
B. 25 + 36 = 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
C. 25² + 36² = 49²
This is correct as it matches the theorem.
D. 36² –25² = 49²
This is wrong because the theorem deal with the sum of the squares of the other two sides and not their difference.
A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes and the black-and-white printer working, working for 3 minutes, print a total of 70 pages. When the black-and-white printer works for 6 minutes and the color printer works for 9 minutes, they print a total of 135 pages. This is modeled by the situation below, where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer 3b + 5c = 70 and 6b + 9c = 135 How many pages per minute does the black-and white printer print?
Answer:
The black-and white printer print can print 15 pages per minute.
Step-by-step explanation:
The given modeled equations are
3b + 5c = 70...(i)
6b + 9c = 135...(ii)
where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
From equation (i), we have
[tex]3b=70-5c \\\\\Rightarrow b = \frac {70-5c}{3} \cdots(iii)[/tex]
Now, substitute the value of b in equation (ii), we have
[tex]6\times \frac {70-5c}{3}+9c=135 \\\\\Rightarrow 2(70-5c)+9c=135 \\\\\Rightarrow 140 - 10c+9c=135 \\\\\Rightarrow -c=135-140=-5 \\\\\Rightarrow c=5x^{2}[/tex]
By using equation (iii), we have
[tex]b = \frac {70-5\times5}{3}=\frac{45}{3}=15[/tex]
Hence, the black-and white printer print can print 15 pages per minute.
The black-and-white printer can print 15 pages per minute.
Given equations:
[tex]3b+5c=70[/tex] ........(i)
[tex]6b+9c=135[/tex] ........(ii)
Where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
Solve the system of equations by substitution method
From (ii)
[tex]6b=135-9c\\b=\frac{135-9c}{6}[/tex] ........(iii)
Put the value of b in (i), we get
[tex]3(\frac{135-9c}{6} )+5c=70\\\frac{135-9c}{2} +5c=70\\135-9c+10c=140\\c=5[/tex]
put c = 5 in (iii)
[tex]b=\frac{135-9(5)}{6} =\frac{90}{6} =15[/tex]
Therefore, The black-and-white printer can print 15 pages per minute.
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Please answer the following attached image:
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{36} \sqrt{-1}[/tex]
[tex]\sqrt{36}[/tex] is 6 and symbol for [tex]\sqrt{-1}[/tex] is i for imaginary. So your answer will be 6i
Which are the intercepts of the equation y=−17x−8?
Answer:
The far left one
Step-by-step explanation:
When you graph it it intercepts the point (-56,0) the other es are wrong because the x and y points are mixed up.
4. Compare: 63% and 0.8 *
Answer:
.8>63%
Step-by-step explanation:
Answer:
63% is greater 0.8
Step-by-step explanation:
Hope it helps! :)
Tell whether 18:5 and 10:6 form a proportion.
Answer:
No
Step-by-step explanation:
They are not equivalent fractions
Answer:
No, they are not equivalent
Step-by-step explanation:
how how how? I help how to do it
Answer: ich weiß nicht, aber ich will die freien Punkte
Solve for x, rounding to the nearest hundredth.
3^x= 93
11e^x=1 solve for x and round to the nearest hundredth
X^2+4x+20=12x-5
Solve this equation
Answer:
4 + (or -) 3i
Step-by-step explanation:
Hi!
Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.
1. Move 12x-5 to the left side of the equation by
a. Subtracting 12x from both sides
b. adding 5 to both sides.
1: x^2+4x+20-12x+5
2. Group the common terms
x^2+4x-12x+20+5 --> x^2-8x+25
3. Look at the problem. We can't factor this.
Explanation for why this isn't factorable (you can skip this)
(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.
(2) Factors of 25: 1 & 25, 5 &5
Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.
4. So, the quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
Our equation is x^2-8x+25=0
a is the constant in front of the x^2
b is the constant in front of the x
c is the term without any x values
so, a=1, b=-8, and c= 25
Into equation:
[tex]\frac{8+-\sqrt{64-4(1)(25)} }{2a}[/tex]=[tex]\frac{8+-\sqrt{64-100} }{2}[/tex]=[tex]\frac{8+-\sqrt{-36} }{2}[/tex]
8/2 = 4
sqrt(-36) = 6i
6i/2 = 3i (remember, we still have the two in the denominator)
4 + (or -) 3i
Answer:
[tex]x=4+ 3\mathbf{i}[/tex]
[tex]x=4- 3\mathbf{i}[/tex]
Step-by-step explanation:
Solve:
[tex]x^2+4x+20=12x-5[/tex]
Move everything to the left side:
[tex]x^2+4x+20-12x+5=0[/tex]
Simplify:
[tex]x^2-8x+25=0[/tex]
Apply the solver formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Where a=1, b=-8, c=25. Thus:
[tex]\displaystyle x=\frac{8\pm \sqrt{(-8)^2-4(1)(25)}}{2*1}[/tex]
[tex]\displaystyle x=\frac{8\pm \sqrt{64-100}}{2}[/tex]
[tex]\displaystyle x=\frac{8\pm \sqrt{-36}}{2}[/tex]
The solutions are complex numbers:
[tex]\displaystyle x=\frac{8\pm 6\mathbf{i}}{2}[/tex]
Simplifying:
[tex]x=4\pm 3\mathbf{i}[/tex]
Two solutions are found:
[tex]x=4+ 3\mathbf{i}[/tex]
[tex]x=4- 3\mathbf{i}[/tex]
A math app was downloaded 52 times in 4 days. If it continues to be downloaded at the same rate, what scale factor can be used to find out how many times it was downloaded in 12 days?
Answer:
= 156 app downloaded in 12 days
use: 13x
plug in the amount of day for x.
Step-by-step explanation:
52/4 = 13
13x
13(12) = 156
Ace Carlos
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?
Answer:
She made a profit of 1,335 cedis
Step-by-step explanation:
Here, we want to calculate the profit made
Profit is selling price - cost price
Her cost price is 65 credits
For her selling price;
she sells 3 for 20 cedis
So the price she sold 210 will be;
(210 * 20)/3 = 1,400 cedis
So the profit made is;
1,400-65 = 1,335 cedis
Use area model to find the product of 26 x 14.
Answer: 364
Step-by-step explanation:
Is this correct
16-2t=5t+9
Answer: yes it is t={1}
PREMISES
16–2t=5t+9
CALCULATIONS
16–2t=5t+9
(16–9)-(2t-2t)=5t+2t+(9–9)
7–0=7t+0
7t=7
7t/7=7/7
t=1/1
t=
1
PROOF
If t=1, then the equations
16–2t=5t+9
16–2(1)=5(1)+9
16–2=5+9 and
14=14 prove the root (zero) t=1 of the statement 16–2t=5t+9
Step-by-step explanation:
please help it’s due soon marking brainlest look at my examples determine whether the two expressions are equivalent. if so tell what peppery is applied. if not explain why.
Answer:
1. Yes
2. Yes
3. No
4. No
5. No (that is plus not multiply)
Jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate. Find Jesse's total payment amount for this loan.
Answer:
16,712.38
Step-by-step explanation:
Periodic interest rate 7.2%/12 = 0.6%
First find the monthly payment
M = $14,000 * 0.006(1 +0.006)^60/(1+0.006)^60-1 = 278.54
The total payment is $278.54 * 60= $16,712.38
Jesse's total payment amount for this loan is $16,712.38
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =P(1+r/n)^rt
We are given that Jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate.
Periodic interest rate = 7.2%/12
= 0.6%
First we need to find the monthly payment
M = $14,000 x 0.006(1 +0.006)^60/(1+0.006)^60-1
M = 278.54
The total payment is
$278.54 x 60= $16,712.38
Hence, Jesse's total payment amount for this loan is $16,712.38
Learn more about interest here;
https://brainly.com/question/1548909
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What is the value of the expression (81 1/4) to the power of 4
Answer:
43580627.4414
Step-by-step explanation:
calculator
Answer:
3
Step-by-step explanation:
19. The perimeter of the rectangle is 36 centimeters.
3
What is the length of the diagonal?
o
A. 108 centimeters
o B. V 144 centimeters
O C. 216 centimeters
D. 234 centimeters
Answer:
I think its b
Step-by-step explanation:
Over what interval is the function in this graph increasing?
A-2 sxs 3
B.-3 sxs2
C.-4 SXS - 2
D. -55x55
Step-by-step explanation:
The interval is -2 <= x <= 3 (A).
Would you rather go with the deal : 25% off of the $40 for christmas wrapping paper or the deal for 50% off of the $62 for christmas wrapping
Answer:
50% off of the $62 for christmas wrapping is the better deal
Step-by-step explanation:
Let us compare the prices after the discount
25% off of the $40 for christmas wrapping paper
=25/100*40
=0.25*40
=$10
The new price is
40-10=$30
50% off of the $62 for christmas wrapping
50/100*62
0.5*62
=$31
The new price is
=62-31
=$31
x² -5x -6 factorised
PLEASE HELP ILL MAKE BEST ANSWER BRAINLIEST
Based on the table, what is the unit rate for one gallon of gasoline?
A.3.30$
B.4.60$
C.5.60$
D.6.50
LOOK AT PICTURE PLEASE HELP
Answer:
im going to go with A because you want to divide 6.60 by 2
Step-by-step explanation:
Subtract the third price by each of the answers until you get the second price for an answer. If you still don't get it can you comment down below and I'll tell you the answer.
Jacqueline spent 33.50 to rent a bicycle. The bike rental facility charged $4 per hour and a processing fee of $1.50. For how many hours, x , did jacqueline rent the bicycle
Answer:
8 hours
Step-by-step explanation:
Given that:
Money spent by Jacqueline to rent a bicycle = $33.50
Per hour charges for the bicycle for renting the bicycle = $4
Processing fee charged for renting the bicycle = $1.50
To find:
The number of hours, [tex]x[/tex] for which Jacqueline rented the bicycle.
Solution:
Charges for 1 hour = $4
Charges for [tex]x[/tex] hours = $[tex]4x[/tex]
Processing fee = $1.50
Total fee charged for renting the bicycle is nothing but the sum of processing fee and the charges for [tex]x[/tex] hours charged by the bike rental facility.
Total money spent = Processing Fee + Charges for [tex]x[/tex] hours
Total money spent = 1.50 + 4[tex]x[/tex] = 33.50
[tex]\Rightarrow 4x = 32\\\Rightarrow x = \bold{8\ hours}[/tex]
So, Jacqueline rented the bicycle for 8 hours.
express 42 minutes as a percentage of 5hours
Answer:
14%
Step-by-step explanation:
Calculate the largest possible are of a square whose side length is 1 cm to 1 significant figure.
Answer:
the answer is
1
Step-by-step explanation:
1*1=1
hope it helped
plz help me what is y=4x+8
(Y-2,2x+1)=(x-1,y+2)
Answer:
x=2 and y=3
Step-by-step explanation:
y-2=x-1
or,x-y=-1.......(1)
again,
2x+1=y+2
or,2x-y=1.......(2)
now,
solving equations (1)&(2),we get,
x=2 and y=3
round 91.273 to the nearest tenth pls :D
Answer:
91.3
Step-by-step explanation:
Answer: 91.3
Step-by-step explanation: 7 is greater than 5, so it is okay to change the 2 to a 3 with no digits remaining afterwards.
Which statement about the ratios 15/18 and 18/27 is true?
A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.
Answer:
C
Step-by-step explanation:
brainliest pls
Answer:
D
Step-by-step explanation:
the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form
there are 3,681 students at west school. Three grades attend this school. There are the same number of students in each grade. How many students are in each grade.
Answer:
1,227
Step-by-step explanation:
3,000 divided by 3 is 1,000
600 divided by 3 is 200
80 divided by 3 is 26 r2
1 + r2 =3
and 3 divided by 3 is 1
1,000 + 200 + 26 + 1 = 1,227
Please help. I'll give brainliest :)
On a map 1 inch = 50 miles. If two cities are inches apart, how many miles are they apart?
14.3 miles
50 miles
175 miles
137.5 miles
Answer:
it would be 100
Step-by-step explanation:
if 1=50 and you have 2 then multiple 50 by 2 and that gives you 100
Answer:
Givint the fact that the two cities are 3 1/2 inches arpart t=which you forgot to put in, I would say that there 175 miles apart