Here, we want to find the area of the given rectangle
Mathematically, what we have to do is to find the product of the sides
We have this as;
\(\begin{gathered} (x-9)(x+4)\text{ = x(x+4)-9(x+4)} \\ =x^2\text{ + 4x -9x - 36} \\ =x^2\text{ - 5x-36} \end{gathered}\)5 in = _ ft I need the answer
Answer:
about 0.4 inch
Step-by-step explanation:
It would be less than half a foot because 12 inches equal 1 foot
Please give me detailed information
The values of x, y and z are 24, 10 and 17 using the similar triangles properties and triangles sum properties.
What are the characteristics of a triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
Calculation:Given that ΔHPS≅ΔCNF.
We can see that angle H in triangle HPS is obtuse whereas angle N in triangle CNF is obtuse so comparing this we get,
6x - 29 = 115
6x = 144
x = 24
Comparing angle C and angle P we get
4z - 32 = 36
4z = 68
z = 17
Now the remaining angle in trinagle CNF is angle F which is 3y - 1 as we know that sum of angles in a triangle is 180 and the angle C and N are 36 and 115 we can say that F is 29
Now to find y we equalise it to 29
3y - 1 = 29
3y = 30
y = 10.
The values of x, y and z are 24, 10 and 17 using the similar triangles properties and triangles sum properties.
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What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
write as a simple fraction for x+3/x-3 - x-2/x+2
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
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A builder builds a brick wall that is 10m long and 1.5m high. The face of a brick is 20cm by 10cm. How many bricks will be needed to complete the wall?
Answer:
10m×1.5m=15m squared total area of the wall
15×100=1500
1500÷200=7.5 bricks would be needed for that wall.
You spend 100 minutes in 2 classes. Write a
proportion that gives the number m of minutes you spend in 3 classes.
Let's use the concept of proportion to find the number of minutes spent in 3 classes. We can set up a proportion using the fact that the ratio of time spent in two classes is equal to the ratio of time spent in three classes. Therefore, we can write:
\($\frac{\text{time spent in class 1}}{\text{time spent in class 2}} = \frac{\text{total time spent in 2 classes}}{\text{time spent in class 3}}$\)
Let's substitute the given values:
\($\frac{\text{time spent in class 1}}{\text{time spent in class 2}} = \frac{100 \text{ minutes}}{m \text{ minutes}}$\)
where m is the number of minutes spent in 3 classes.
Now we can cross-multiply to solve for m:
\($\text{time spent in class 1} \times \text{time spent in class 3} = \text{time spent in class 2} \times \text{total time spent in 2 classes}$\)
Plugging in the given values:
\($\text{time spent in class 1} \times m = \text{time spent in class 2} \times 100 \text{ minutes}$\)
We know that we spent 100 minutes in 2 classes, so we can substitute this value into the equation:
\($\text{time spent in class 1} \times m = \text{time spent in class 2} \times 100 \text{ minutes} =\)\(\text{time spent in class 1} \times (100 \text{ minutes} - \text{time spent in class 1})$\)
Simplifying and rearranging the terms:
\($m \text{ minutes} = \frac{\text{time spent in class 1} \times (100 \text{ minutes} - \text{time spent in class 1})}{\text{time spent in class 1}}$\)
\($m \text{ minutes} = 100 \text{ minutes} - \text{time spent in class 1}$\)
Therefore, the proportion that gives the number of minutes spent in 3 classes is:
\($\frac{\text{time spent in class 1}}{\text{time spent in class 2}} = \frac{100 \text{ minutes}}{m \text{ minutes}} =\large\boxed{ \frac{100 \text{ minutes} - m \text{ minutes}}{m \text{ minutes}}}$\)
Which phrase best describes a theorem in an axiomatic system?
A.
the accepted meaning of a term
B.
an assumption made with little supporting evidence
C.
an accepted fact that cannot be proven
D.
a statement proven to be true using logic
E.
a list of geometric facts
The answer is to the question is D
Answer:
hope it's help you (: for your answer
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
elm st. and spruce st. are parallel what is m<1
Answer:
The measure is 68
Step-by-step explanation:
180-112 = 68
side alternate exterior (supplementary)
The measure of angle 1 will be equal to 68.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.
Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-
The angle will be calculated as follows:-
∠1 + 112 = 180
∠1 = 180 - 112 = 68
Therefore, the measure of angle 1 will be equal to 68.
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whatre the values of x and y
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
What are the values of two variables associated with two angles from a right triangle?
In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:
(x + 20) + 90 + 30 = 180 (1)
20 + 90 + (y + 30) = 180 (2)
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
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Please help i wan't a good grade but I can't figure this out.
Answer:
angle DCE
Angle DEC
Angle ABF
Step-by-step explanation:
you had the wrong order
I need the answer fast pls
Answer:
C. is the correct answer
Find a polynomial function f(x) of degree 3 with zeros, 2, -3 , 5 and f(3)=6
A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).
Degree of the polynomial function is equal to 3.
Zero's of the polynomial function is equal to 2, -3 , 5 .
And f(3) = 6
If 2, -3, and 5 are zeros of f(x), then we can write function as,
f(x) = a(x-2)(x+3)(x-5)
where a is some constant.
To determine the value of a, we can use the fact that f(3) = 6.
Substituting x = 3 into the equation above, we get,
f(3) = a(3-2)(3+3)(3-5)
= -12a
Here we have,
f(3) = 6, so we can set these two expressions equal to each other and solve for a,
⇒ -12a = 6
⇒ a = -1/2
Now we can substitute this value of a back into the equation for f(x) that we found earlier,
⇒ f(x) = -1/2 (x-2)(x+3)(x-5)
Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).
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1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
3 coins are flipped. let E be the event that at least 2 coins are heads. let F be the event that no heads are flipped. are E and F mutually exclusive? are they independent? Explain
Answer: Yes, they are mutually exclusive. You cannot have 2+ heads and 0 heads at the same time. They are not independent. The result of 2+ heads nullifies the chance that 0 heads are flipped!
what numbers add up to 6 but multiply to 77
Answer:
one
Step-by-step explanation:
one is the only number that evenly adds up to six and multplys to 77
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
Convert the binary number 1101001 to decimal.
Answer:
105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀
select the correct answer from each drop down menu.  quadrilateral abcd is a parallelogram. complete the statements to prove that ab =cd and bc = ad
Due to the fact that the numbers 4 and 5 both refer to comparable triangles, the correct quadrilateral ABCD is a parallelogram.
What does a quadrilateral mean?The polygon consists of four vertices and four sides. Angles add up to 360. A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Given
A parallelogram is an ABCD quadrilateral.
Both AB and BC are parallel to CD and AD, respectively.
Consequently, it is a parallelogram's condition.
A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Here, CAB and ACD are congruent, and BCA and CAD are congruent.
Then ABC is comparable to ADC, CAB is to ACD, and BCA is to CAD.
Then ABC is comparable to ADC.
Yet AC is AC.
ADC and ABC are then congruent.
As a result, for the equivalent triangle, 4 and 5 have the same significance.
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What word phrase can you used to represent 5X +2
Answer: A number times 5 plus 2
Step-by-step explanation:
Which expression is an equivalent expression of 12x + 10 + 4y?
А. 2(6x + 2y+6)
B. 3(4x+y+ 10)
C. 2(6x + 4y+8)
D. 2(6x+5+2y)
12x+10+4y
= 2(6x+5+2y)
=D
Help me? Show work so I can understand please and thank you!
I think this is correct, Answer is 21
Step-by-step explanation:
Step 1: Write down formula: \(a^2+b^2+c^2\)
Step 2: Plug in b and c value in formula: \(a^2+20^2=29^2\)
Step 3: Solve the exponents: \(a^2+400=841\)
Step 4: Subtract 400 from both sides: \(-400\) \(-400\)
\(a^2=441\)
Step 5: Square root both sides: \(\sqrt{a^2}=\sqrt{441}\)
\(a=21\)
Step 6: 29+21: 50
Step 7: 50-29: 21
Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.
Answer:
$34.99
Step-by-step explanation:
49.99 - 14.997=
34.99
Answer:
the answer is 34.99
if you want me to explain i will ")
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!!
Find the area of the shaded region.
A. 357.72
B. 53.86
C. 715.44
D. 253.86
Answer:
B it is B
Step-by-step explanation:
Can someone please help me out
Three vertices of a square are shown on the grid.
y
9
8
7
6-
5
4
3
2
.
1
0
3
4
S
6
8 19
What are the coordinates of the missing vertex? Enter the answer in the boxes.
Answer:
(3,8)
Step-by-step explanation:
you are missing the top-left coordinate of a square, so since it is a square the bottom-left plot woulf give you x, and toyr top-right would give you y.
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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Which is equivalent to
Answer:
2·2·2·2 = 16
Step-by-step explanation:
everytime a number is raised by another, that means you are going to multiply the base number times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:
2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:
2² = 2 · 2 = 4
2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:
2³ = 2 · 2 · 2 = 8
In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:
2^4 = 2·2·2·2 = 16
the same format will be used regardless of the base number and the exponent
i hope this helps! :)
write 9/10 as a division
9÷10 is your answer
yah its pretty simple
Answer:
9÷10
18÷20
Step-by-step explanation:
9÷10=0.9
18÷20=0.9
9/10=0.9
plsss help mee xoxox
Answer:
length is 20, so width would be 16
Step-by-step explanation: