(2x²-24)
Solve for x
Answer:
4
Step-by-step explanation:
By the inscribed angle theorem,
\(2x^2-24=2x \\ \\ x^2-12=x \\ \\ x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4 \\ \\ x>0 \implies x=4\)
$20.00, 10% tax, 15% tip
Urgently helpp!
Answer:
Tax=$2
15% before tax= $3
15% after= $3.30
Answer:
I know the tip but can't help with tax
Which equation can be used to solve for x
Answer:
(a) 7(x +3.5x) = 56
Step-by-step explanation:
You want an equation to solve for x, the length of a morning run, if the evening run is 3.5 times as long, and these runs total 56 miles when done every day of the week.
Daily runThe morning run is given as x.
The evening run is 3.5 times as long, so is 3.5x
The total mileage each day is (x +3.5x).
Weekly totalIn 7 days, the mileage will be 7 times the daily mileage. That total is given as 56 miles:
7(x +3.5x) = 56
How can I find the measure of each angle or arc in a circle
Given:
Find the measure of each angle or arc in a circle.
Explanation:
As we know,
The central angle of a circle is 360 degrees.
The central angle that subtends the arc also subtends the same degrees of the arc.
We have the formula to find the measure of angle (or arc) when the arc length (or angle) and radius are given.
The formula is,
\(\text{Arc length, }l=\frac{\theta}{360^{\circ}}\times2\pi r\)Here, r is the measure of the radius of the circle and θ ( in degrees) is the measure of the angle subtended by the radius.
If θ is measured in radians, then the formula of arc length becomes,
\(\text{Arc length, }l=\theta r\)Example:
1. If the radius of the circle is 7 m and the measure of the angle subtended by the radius is 90 degrees, then the arc length is,
\(\begin{gathered} l=\frac{90}{360}\times2\times\frac{22}{7}\times7 \\ l=11m \end{gathered}\)2. If the radius of the circle is 7 m and the measure of the arc length is 33m then the measure of the angle is,
\(\begin{gathered} 33=\frac{\theta}{360^{\circ}}\times2\times\frac{22}{7}\times7 \\ 33=\frac{\theta}{90^{\circ}}\times11 \\ \theta=\frac{90^{\circ}\times33}{11} \\ \theta=270^{\circ} \end{gathered}\)what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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A farmer has a rectangular field.the field is 300m long and 200m wide. calculate the perimeter of the field
Answer:
1000m
STEP BY STEP EXPLANATION: 300m+300m+200m+200m
=600m+400m
=1000m
The perimeter of the field is 1000m
Calculation of the perimeter of the field:Since the field is 300m long and 200m wide.
We know that the perimeter of the rectangle is
= 2(length + width)
= 2(300 + 200)
= 2(500)
= 1000m
Therefore we can conclude that The perimeter of the field is 1000m
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Does anyone know the answer ? :(
Answer:
If it a khan you can go take a hint and try to find it
Angie’s Bake Shop makes birthday chocolate chip cookies that cost $2 each. Angie expects that 7% of the cookies will crack and be discarded. Angie wants a 50% markup on cost and produces 100 cookies. What should Angie price each cookie?
Answer:
I kept coming up with $3.56
Step-by-step explanation:
Answer:
$2.00 each
Step-by-step explanation:
Use the properties of equality to solve the equation 3x +2 - x = 11x + 9. Check your solution.
The given expression is-
\(3x+2-x=11x+9\)First, we place all terms with variables on the left, and all terms without variables on the right
\(3x-11x-x=9-2\rightarrow-9x=7\)Then, we divide the equation by -9
\(\frac{-9x}{-9}=\frac{7}{-9}\rightarrow x=\frac{7}{-9}\)Therefore, the right answer is -7/9.A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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ZA and ZB are complementary angles. Ifm A = (2.c +18) and m
ZB = (6x + 8), then find the measure of B.
Answer:
Step-by-step explanation:
The sum of complementary angles is 90°.
(2x+18) + (6x+8) = 90
8x+26 = 90
x = 8°
B = 6x+8° = 56°
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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Which equation represents g(x)?
Answer:
There's not enough information to determine the answer... is there more to this?
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.
How many meters of fencing will Steve need?
Answer: 12 is the awnser
Step-by-step explanation: simple math.
ASAP HELP!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
A: 7 units
B: 14 units
C: 25 units
D: 26 units
Answer:
B: 14 Units
Step-by-step explanation:
We have the same homework and that's what I got.
An after-school program consists of two groups, Section X and Section Y. In order for the program to run,
there must be at least 95 students total. There must be at most 20 less students in Section Y than in Section X.
Write a system of inequalities to model the number of students in each of the two sections. Then solve the
system by graphing
Answer: D
Step-by-step explanation:
Help me plz ASAP i will give brainliest.
Answer:
I don't know what the question is but if you are asking for the intersection of the 2 lines it is no solutions, these 2 lines are parallel due to having the same slope, which means they will never intersect.
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
find the probability that a randomly selected point within the circle falls in the red shaded square. 8 8 4 times square root of 2
enter decimal to nearest hundredth
Answer:
Step-by-step explanation:
"To find the probability that a randomly selected point within the circle falls in the red shaded square, you can compare the areas of the circle and the square. The area of the circle is pi times the radius squared, which is pi times 8 squared, or 64pi. The area of the square is the length of one side squared, which is (4 times the square root of 2) squared, or 32. Therefore, the probability is 32/64pi, or approximately 0.159. Does that help?"
match each measurement on the left with an equal measurement on the right. Some answer options on the right will not be used21/3 yards102 inches31/2 miles41/2 miles18,480 feet7 feet71/2 feet81/2 feet21,120 feet23,760 fee
SOLUTION
To match each measurement with its corresponding equal value.
We will resolve the measurements on the left to feet and compare them with the measurements on the right.
Convert 2 1/3 yards to feet
\(\begin{gathered} 1\text{ yards = 3 feet} \\ \frac{7}{3}\text{yards = 3 }\times\frac{7}{3}=7\text{ feet} \\ \end{gathered}\)So the first measurement on the left can be matched to the 2nd measurement on the right.
\(\begin{gathered} \text{Convert 102 inches to feet} \\ \end{gathered}\)\(\begin{gathered} 1\text{ inch = }\frac{1}{12}\text{ feet} \\ 102\text{ inches =}\frac{1}{12}\times102=8\text{ }\frac{1}{2}ft\text{ or 8 1/2 feet} \end{gathered}\)The second measurement on the left can be matched to the 4th measurement on the right.
\(\begin{gathered} \text{Convert 3 1/2 miles to feet} \\ 1\text{ miles = 5280 feet } \\ \frac{7}{2}\text{miles}=\text{ 5280 }\times\text{ }\frac{7}{2}=18,480\text{ feet} \end{gathered}\)The third measurement on the left can be matched to the 1st measurement on the right.
\(\begin{gathered} \text{Convert 4 1/2 miles to feet} \\ 1\text{ miles = 5280 feet} \\ \frac{9}{2}\text{miles}=5280\times\frac{9}{2}=23,760\text{ feet} \end{gathered}\)The fourth measurement on the left can be matched to the 6th measurement on the right.
Select all expressions that are equivalent to 26i.
A.13i+ 3i + 5i+ Si
B.(4+ 6:)(3 + 21)
C.(7+ 12i) - (7-14i)
D. (13i)(21)
E. 13 +i+13
Answer:
A, B and C (but see below).
Step-by-step explanation:
C.
(7 + 12i - (7 - 14i)
= 7 - 7 + 12i + 14i
= 26i.
Looks like you have typos in part B so I've rewritten it:
B.
(4 + 6i)(3 + 21i
=12 + 8i + 18i + 12i^2
= 12 + 8i + 18i - 12
= 26i
Also I think A is:
.13i+ 3i + 5i+ 5i
= 16i + 10i
= 26i.
The expression that are equivalent to 26i will be 13i + 3i + 5i + 5i and (7 + 12i) - (7 - 14i). Then the correct options are A and C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Let's check all the options, then we have
A. 13i + 3i + 5i + 5i = 26i
B. (4 + 6)(3 + 21) = (10)(24) = 240
C. (7 + 12i) - (7 - 14i) = 26i
D. (13i) (21) = 273i
E. 13 + i + 13 = 26 + i
The expression that are equivalent to 26i will be 13i + 3i + 5i + 5i and (7 + 12i) - (7 - 14i). Then the correct options are A and C.
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Simplify (x - y + 1) - (x + y - 1).
-2x + 2y
-2y + 2
2y-2
2x - 2y + 2
Answer:
-2y + 2
Step-by-step explanation:
Let's first remove the parentheses. (x - y + 1) becomes x - y + 1 and -(x + y - 1) becomes -x -y + 1. Combine like terms:
x - y + 1 - x - y + 1 = -2y + 2
Answer:
-2y + 2
Step-by-step explanation:
(x - y + 1) - (x + y - 1)
remove ( )
= x - y + 1 - x - y + 1
simplify
= -2y + 2
what is the exact circumference of a circle with a radius of 17mm (Answer options) 8.5
17
34
68
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=17 \end{cases}\implies C=2\pi (17)\implies C=34\pi\)
The reciprocal of 2 2/7
Answer:
7/16
Step-by-step explanation:
if x=4 what is the value of 9x 22
Answer:
58
Step-by-step explanation:
9x + 22 x = 4
9(4) + 22
36 + 22
58
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?
a. The consultant forms groups of workers based on the workers' shifts. Then, he selects workers at random from each group.
b. All of the workers on the second floor of the factory building are easily accessible. So, the consultant selects the first workers from the second floor to arrive at work on a particular day.
c. The consultant forms groups of workers based on the lengths of time the workers have worked at the factory. Then, he randomly chooses groups and selects all of the workers in these groups.
Answer:
A. the consultant forms groups of workers based on the workers' shifts. then, he selects workers at random from each group.
Step-by-step explanation:
Sana nakatulong
Answer:
A
Step-by-step explanation:
Can someone help me I am stuck on this question =-(
Answer:
0.2376, 2.376, 23.76, 237.6
Step-by-step explanation:
volume of a sphere = ³, where ris 3 ㅠ the radius. Titanium has a density of 4.506 g/cm³. How many kilograms would a sphere of titanium with a radius of 11 cm weigh? Give your answer to 1 d.p.
After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
what is radius?In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.
The formula for the volume of a sphere of radius "r" is:
V = (4/3)πr³
Substituting the specified radius value (r = 11 cm), we get:
V = (4/3)π(11)³ \sV = 5575.279 cm³
Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:
Density = Volume Weight
Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3
When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:
The weight is 25.121811974 kg.
As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
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To decrease a number by 13%, what decimal should we multiply it by?
Answer:
0.87
Step-by-step explanation:
After decreasing new value would be : 100% - 13% = 87%
87 % = 87/100 = 0.87