Answer:
X= -7
Step-by-step explanation:
-2X-10= 4
or,-2X=14
or,X= -7
Classify this triangle by its sides and angles.
Answer:
choice 3) acute and equilateral
Step-by-step explanation:
ı need help on this math assıgnment please on rationals
According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.
What is the correct classification for each number?A. 1: It is a real number because it can be plotted on the number line. It is rational because it can be expressed as a fraction (1/1). It is an integer, whole number, and natural number as well.B. 5.1: It is a real number and rational because it can be expressed as a terminating decimal (5.1 = 51/10).C. √(-142): It is a non-real number because the square root of a negative number is not defined in the real number system.D. π (Pi): It is an irrational number because it cannot be expressed as a finite or repeating decimal. It is a real number.E. 2/3: It is a rational number because it can be expressed as a fraction. It is a real number.F. ∛(-27): It is a non-real number because the cubic root of a negative number is not defined in the real number system.G. 0.671: It is a real number and rational because it can be expressed as a decimal.H. 3√7: It is an irrational number because the cube root of 7 cannot be expressed as a fraction or terminating decimal. It is a real number.I. 0: It is a real number and rational because it can be expressed as a fraction (0/1). It is an integer, whole number, and natural number as well.J. -√16: It is a real number and rational because the square root of 16 is 4.Learn more about numbers in: https://brainly.com/question/24908711
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On the boardwalk at the beach there were beach towels for sale. They were $20.98 each. Marie’s mom bought 5 of them. About how much did he spend?
Answer:
$104.9
Step-by-step explanation:
If there's no tricks to this problem it should just be 20.98 • 5.
If she bought 5 towels that where $20.98
it's 104.9
ps Marie's mom needs to find cheaper towels
What is the area of the shaded portion of the circle?
9514 1404 393
Answer:
(a) (5π -11.6) ft²
Step-by-step explanation:
The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.
shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)
shaded area = (5π -11.6) ft²
Find the value of $x$ that makes $\triangle DEF\sim\triangle XYZ$ .
Two triangles D E F and X Y Z. In triangle D E F, the length of sides D E, E F, and D F are labeled 10 units, 8 units, and 3 left parenthesis x minus 1 right parenthesis. In triangle X Y Z, the base side Z Y is labeled 4. The sides Z X and X Y are labeled 7.5 and x minus 1.
Their corresponding side's ratio will not change. Then, x has a value of 4.
What is a Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.
ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
With three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.
A polygon also includes a triangle.
Triangle ABC is shown in the image above.
So, it is made up of two triangles: DEF and XYZ.
The similarity between the DEF and XYZ is assumed.
When it happens, the ratio of their corresponding side will not change. Which is:
5/10 = 2x-1/14 = 11/5x+2
The first two are what we have.
5/10 = 2x-1/14
Then, we have:
x = 4
Therefore, their corresponding side's ratio will not change. Then, x has a value of 4.
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Correct question:
Find the value of x that makes Triangle DEF~ triangle XYZ.
when a class interval is expressed as 100 up to 200, _________________________.
When a class interval is expressed as 100 up to 200, it means that the data is grouped into intervals or ranges, and the first interval starts at 100 while the last interval ends at 200.
When dealing with large sets of data, it is often more convenient to group the data into intervals or classes. Each interval is a range of values, and the frequency of data falling within that range is recorded. The class interval "100 up to 200" means that the first interval starts at 100, and the range continues up to but does not include 200.
This means that the first interval will include all values greater than or equal to 100 and less than 200. The exact size of the interval (i.e., the width) is not specified in this expression, so it could be any value that covers the range between 100 and 200.
For example, the interval could be 100-199, 100-199.99, or any other width that covers the specified range.
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help please and if you could write in simple terms
Step-by-step explanation:
we see that (as it is always the case with a kite) the left side measurements are exactly the same as the right side measurements.
so,
2x + 5 = x + 12
x = 7
and
y - 4 = x + 5 = 7 + 5 = 12
y = 16
-12x - 60 = 144. Find the value of x.
The question is in the image h e l p m e
Answer:
The answer is D
Step-by-step explanation:
Line them up.
Answer:
Step-by-step explanation:
Option A is correct
10g^3-8g^2+10g^2+5g+12g-14
10g^3+2g^2+17g-14
The diagonal of a square is 15 inches. Find the area of the square.
Answer:
112.5in²
Step-by-step explanation:
Answer
\(225in^{2}\)
Step-by-step explanation:
hope this helped :-)
Keshawn is saving up to buy a new bicycle. He already has $100 and can save an additional $6 per week using money from his after school job. How much total money would Keshawn have after 8 weeks of saving? Also, write an expression that represents the amount of money Keshawn would have saved in ww weeks.
Answer:
$742
Step-by-step explanation:
Answer:$148
Step-by-step explanation:
Keyshawn already has 100 in savings so all that needs to be done is multiply 6 by the 8 weeks and add it to 100. Simply:
Money saved in 8 weeks =(6×8)+100
=$148.
Pls do alert me if you find any mistakes in my explanation.
Do these two expressions represent equivalent expressions? Explain why or why not. 36 + 20 4(9 + 5)
Answer:
yes because 4 times 9 is equal to 36 and 4 times 5 is equal 20
Step-by-step explanation:
Yes, both the expressions ( 36 + 20 ) and 4 ( 9 + 5 ) are equivalent to each other.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expressions are solved as:-
First expression,
36 + 20 = 56
Second expression,
4( 9 + 5 ) = 36 + 20
= 56
From the above calculations,
( 36 + 20 ) = 4 ( 9 + 5 )
Therefore, both the expressions ( 36 + 20 ) and 4 ( 9 + 5 ) are equivalent to each other.
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Need urgent help!! It would be really appreciated if someone could help!!
Answer:
\(C)~ 10.06~ m\)
Step-by-step explanation:
\(~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m\)
Suppose a rectangular patio has an area of 24 *
ft? and its width is 5 less than its length. What
is its length, width, and perimeter? (Check 3
boxes)
Answer:
Step-by-step explanation:
width= length-5
area= length*width
area= length * (length-5)
area= l*(l-5)
area =\(l^{2}\) -5l
\(l^{2}\)-5l= 24
\(l^{2}\)-5l-24=0
FACTORISE
(l+3)(l-8)
l= -3 or +8
Length is positive therefore, l= 8
width = l-5
width = 8-5=3
width = 3
perimeter = 2(l+b)
perimeter = 2(8+3)
perimeter = 22
Extra credit for a sure and correct answer and also brainliest !!!!
Answer:
The answer is B
Step-by-step explatrust me it is
GUYS HELP FOR LOTS OF POINTS!
A barrel starts with 6 cups of water in it. During a heavy rainstorm, the amount of water in the barrel doubles every minute.
A) What is the domain and the range of this scenario?
B) Write an exponential function for this scenario.
C) How many cups of water are in the barrel after 7 minutes?
Volume of sphere Marcus is using small stone spheres
1. What is the radius of the stone sphere?
- To know what is the radius divide is by 2.
\( \large \tt 6 \div 2 = 3\)Therefore, the radius of the stone sphere is 3in
2. What is the volume of the stone sphere?
- Using the formula in finding the Volume of Sphere \( \tt V = \frac{4}{3}\pi r^3\) to get the answer. Where the volume of the sphere is \(\tt\frac{4}{3}\:\:\:\:\pi\) multiplied by the cube of the radius.
\( \tt V = \frac{4}{3}\pi r^3\)\( \tt V = \frac{4}{3}\times 3.14\times 3in^3\)\( \tt V = \frac{4}{3}\times 3.14\times 27in\)\( \tt V = \frac{4}{3}\times 84.78in\)\( \tt V = \frac{339.12in}{3}\)\( \tt V = 113.04in^3\)Therefore, the volume of the stone sphere is 113.04in³
3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for π, and round to the nearest hundredth.
- Using the formula in finding the Volume of Sphere \( \tt V = \frac{4}{3}\pi r^3\) to get the answer. Where the volume of the sphere is \(\tt\frac{4}{3}\:\:\:\:\pi\) multiplied by the cube of the radius.
\( \tt V = \frac{4}{3}\pi r^3\)\( \tt V = \frac{4}{3}\times 3.14\times 5in^3\)\( \tt V = \frac{4}{3}\times 3.14\times 125in\)\( \tt V = \frac{4}{3}\times 392.5in\)\( \tt V = \frac{1570in}{3}\)\( \tt V = 523.33in^3\)ExplanationTherefore, the volume of the stone sphere is 523.33in³
#CarryOnLearningWhat is equidistant from the angles of a triangle?
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.
A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.
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plazz answer thankse
10 pack of 2.3 ounce bars at $17.35
10pack------------>$17.35
1 pack-------------->x
using cross multiplication
10/1 = 17.35/x
Solving for x:
x = 17.35/10 = $1.735
Therefore each pack costs $1.735
what are the Formulas for Simple Interest?
I don't know what subject this would be for. Please be quick.
Answer:
\(\boxed{\sf{I=Prt}}\)
Step-by-step explanation:
Here is the formula for simple interest:
\(\Longrightarrow:\sf{I=Prt}\)
I stands for "interest on the original investments".P stands for "principal".R stands for "interest rate". T stands for "interest time".I hope this helps you! Let me know if my answer is wrong or not.
Answer:
PRT/100
Step-by-step explanation:
To calculate the simple interest of a principle, use PRT/100, where:
P = PrincipleR = RateT = TimeLet's solve an example together.
Example (https://brainly.com/question/14162725):
Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.
----------------------------------------------------------------------
Before we find the simple interest, let's convert the time into years.
⇒ 14 months = 1 year 2 months ≈ 1.17 years
To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.
⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100
⇒ (3)(15)(1.17)
⇒ 45(1.17) = $52.65
Thus, the interest is $52.65.
PLEASE HELP ITS URGENT!! PLEASE
1.) you are looking at your power bill for the month, you pay 12 cent per kilowatt hour. Running a 60 watt lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 3 lightbulbs in it how much would that cost a 30 day month
2.) you were looking at your power bill for the month you pay .11 per kilowatt. Your power bill came out to $80.48 how many KWH of energy were using your house this month
3.) you plan to cut the board into three pieces to repair part of a railing. You are going to cut the two ends of the board into two equal pieces that are 2.6 feet long if the remaining piece needs to be 0.86 times longer than each of the first two cats what length boards did you buy round to the nearest tenth
1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.
2. The amount of energy used in the house for the month is 731.634 KWh.
3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.
1. The rate of consumption of energy is measured in kilowatt-hour.
In the given question,
12 cent is paid per kilowatt-hour.
60 watts of light for 1 hour = 0.06 KWh
3 light bulbs of 60 Watts each for 1 hour = 3 x 0.06
= 0.18 KWh
But,
30 days = 30 x 24 hours
= 1440 hours
The total energy consumed for the month = 1440 x 0.18
= 259.20 KWh
The total cost for the month = 0.12 x 259.20
= $31.104
Thus, the total cost for the month is $31.104.
2. Charge per kilowatt-hour = $0.11
Total power bill = $80.48
So that,
Total cost on bill = amount charge per kilowatt x total energy consumed in KWh
Which implies;
$80.48 = $0.11 x total energy consumed in KWh
total energy consumed = \(\frac{80.48}{0.11}\)
= 731.634 KWh
Therefore, the amount of energy used in the house for the month is 731.634 KWh.
3. Each length of the two end pieces = 2.6 feet each
Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;
the length of the remaining piece = 2.6 + 0.86
= 3.46
The length of the remaining piece = 3.46 feet
The length of the board to buy = 2.6 + 2.6 + 3.46
= 8.66
Thus, the length of the board to buy is 8.70 feet.
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ΔABC ΔXYZ. What's the scale factor from ΔABC to ΔXYZ? An image of two similar triangles, ABC and XYZ. AC is labeled 12. XZ is labeled 3. Question 16 options: 12 4
The scale factor of the ΔABC to the triangle ΔXYZ as evident in the task content is; 12/3 = 4.
What is the scale factor of transformation of the triangle ΔABC to ΔXYZ?It follows from the task content that the two triangles ΔABC and ΔXYZ are said to be similar triangles.
On this note, it can be concluded from the statement of similarity that the ratios of their corresponding side lengths must be in proportion.
Consequently, since side AC is labelled 12 and side XZ is labelled; 3, the scale factor from ΔABC to ΔXYZ is; 12/3 = 4.
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Purple paint is made by mixing red paint and blue paint in the ratio 2 : 3. If 15 litres of blue paint is used, how much red paint will be needed?
Answer:
Because they are in the ratio 2:3 we'll call red and blue paint 2x and 3x respectively. We know that there are 15 liters of blue paint which means that 3x = 15. Solving for x we get x = 5. Since red paint is denoted by 2x it would be 2 * x = 2 * 5 = 10.
Answer:
10 liters
Step-by-step explanation:
Red : Blue
2 3
We want 15 blue liters
15/3 = 5
Multiply each term by 5
Red : Blue
2*5 3*5
10 : 15
HELP ME ASAP!!!!!!!
See pic attached
Answer:
2.2:1
Step-by-step explanation:
Found the cube root of 1331
\( \sqrt[3]{1331} = 11\)
Reciprocal of 0.2 is
\( \frac{1}{0.2} = 5\)
Our ratio is 11:5. Our right hand number must equal 1 so we divide 5 by both sides.
\(11 \div 5 = 2.2\)
So our n is 2.2
Answer:
2.2:1
Step-by-step explanation:
theorem: there is no smallest positive rational number. a proof by contradiction of the theorem starts by assuming which fact?
that there is no smallest positive rational number is proven below.
What is Rational Number?
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have commonly divisible.
Let r be any reasonable number.
We can infer that r/2 is rational because r is a rational number.
There is no smallest rational number so we can assume that r/2 r because r/2 is rational.
Hence, proved that here is no smallest positive rational number.
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The number 11 is increased to 12. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Answer:
9.1%
Step-by-step explanation:
You can find this answer by dividing 12 by 11. When you do that, you get that 12 is 109.1% percent of 11. 11 is obviously 100% of 11, so it increased by the difference of the two percentages, 109.1-100 = 9.1%
A person applies for a $200,000, 30-year fixed-rate mortgage loan at 5%. The mortgage payment factor is .0053682. Taxes for the year are $4,000 and insurance is $2,400. Her monthly payment for PITI will be
Sally will recover the cost of the point on her mortgage in approximately 21 months.
Here, we have,
This calculation is based on the difference between the two loans: a 4.5% interest rate mortgage with no points, and a 4.0% interest rate mortgage with 1 point.
The monthly payment for the 4.0% loan is $950, and the monthly payment for the 4.5% loan is $1,000.
The difference between these payments is $50, which is the cost of the point.
Therefore, in order to recover the cost of the point, Sally must save $50 per month for 21 months, which is equal to the cost of the point.
In conclusion, Sally can decide whether it is worth it to her to pay the point in order to get the 4.0% loan, or whether she wants to pay the higher interest rate in order to avoid the point.
She can also compare the cost of the point to other fees or costs associated with the mortgage in order to determine if it is a worthwhile investment.
Regardless of her decision, she will recover the cost of the point in approximately 21 months.
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The population for a clinical study has 500 Asian, 1000 Hispanic and 500 Native American people. What is good way of sampling this population to ensure that the distribution of various sub-populations is maintained if only 200 samples have to be chosen? Give the distribution of the various sub-populations in the final sample.
A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.
To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.
Here's how the distribution of the various sub-populations can be maintained in the final sample:
1. Determine the proportion of each subgroup in the population:
- Asian: 500 / 2000 = 0.25 (25%)
- Hispanic: 1000 / 2000 = 0.5 (50%)
- Native American: 500 / 2000 = 0.25 (25%)
2. Calculate the number of samples to be chosen from each subgroup:
- Asian: 0.25 * 200 = 50 samples
- Hispanic: 0.5 * 200 = 100 samples
- Native American: 0.25 * 200 = 50 samples
3. Randomly select the specified number of samples from each subgroup.
By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.
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help-
question : complete each of the following based on the relationship between square and square root.
Answer:
root 49= 7^2
root 100= 10^2
root 144= 12^2
root 324= 18^2
root 441= 21^2
Step-by-step explanation: