Answer:
(E) 3(sq rt 2)
Step-by-step explanation:
the figure is a square so all four sides are equal and has 90 degree corners.
the diagonal has the value of 6 so:
6^2=s^2+s^2
36=2s^2
s^2=18 or sq rt 18 which would be 3(sq rt 2)
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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CAN SOMEONE PLEASE HELP ME
Answer:
mo
Step-by-step explanation:
The product of 4 and the difference of a number and 7.
Answer:
simplified: 4x−28
Step-by-step explanation:
The product of 4 and the difference of a number and 7 can be written as 4(x-7) where x is the number you are looking for.
Write the expression without using absolute value symbols.
|x + 4| and x ≤ −9
When x is less than or equal to -9, the expression |x + 4| can be written as -(x + 4).
When x ≤ -9, the expression |x + 4| can be simplified by considering the cases where x + 4 is positive or negative.
Case: x + 4 is positive:
Since x ≤ -9, adding 4 to a number smaller than -9 will result in a negative value. Therefore, when x + 4 is positive, it is not possible in this case.
Case: x + 4 is negative:
When x + 4 is negative, we can represent it as -(x + 4). Since x ≤ -9, x + 4 will always be negative, and multiplying it by -1 will yield a positive result.
Combining both cases, we can simplify the expression |x + 4| when x ≤ -9 as -(x + 4).
Therefore, when x is less than or equal to -9, the expression |x + 4| can be written as -(x + 4).
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Ten canoeing teams are racing downriver. Five teams have silver canoes and 2 teams have brown canoes.what Fraction of the canoes are either silver or/ and brown?
The fraction of silver or brown canoes is 7/10.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Total canoes team = 10
5 teams have silver canoes team.
2 teams have brown canoes team.
Now,
The fraction of silver and brown canoes.
= (5 + 2) / 10
= 7/10
Thus,
7/10
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Calculate the third angle of a triangle in which two of the angles are as follows. 47° and 65° b 24° and 77 c 56° and 18⁰ d 39° and 21° e each 58°
The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.
To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.
That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.
d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.
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1) An indoor staircase has a 12 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 41 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
The landing space per step is 14 inches while the vertical rise is 13 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.
From the question:
Angle of elevation = 41°
Let d represent the landing space per step, hence using trigonometric ratio:
tan(41) = 12 inches / d
d = 14 inches
Also, let h represent the vertical rise, hence:
tan(41) = h / 15 feet
h = 13 feet
The landing space per step is 14 inches while the vertical rise is 13 feet.
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you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
What are the solutions of the equation
x2-1=15?
Answer:
x=4, -4
Step-by-step explanation:
hope this helps!
(BEST ANSWER GETS BRAINLIEST)Allie rings up an item that costs $32. After sales tax, the total is $33.92. What is the sales tax percentage?
Write your answer using a percent sign (%)
Answer:
1.92%
Step-by-step explanation:
GIVING BRAINLIST PLEASE HELP!!!
The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %
How to find the probability ?The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.
This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :
= Angle measure of red - shaped area / Total area x 100 %
= 165 / 360 x 100 %
=0. 45833 x 100 %
= 45. 833 %
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Non Shaded Shaded
Area
Area
8
Find the radius
of the small circle
Answer:
The answer is 16pi or 50.3cm² to 1 d.p
Step-by-step explanation:
The non shaded=area of shaded
d=8
r=d/2=4
A=pir³
A=p1×4²
A=pi×16
A=16picm² or 50.3cm² to 1d.p
Answer:
3.45 cm (3 s.f.)
Step-by-step explanation:
We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.
To find the radius of a regular polygon given its side length, we can use this formula:
\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):
\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)
The formulas for the area of a regular polygon and the area of a circle given their radii are:
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)
\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Therefore, the area of the regular pentagon is:
\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)
The area of the circumcircle is:
\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)
The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.
The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.
Given the shaded area is equal to the unshaded area:
\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)
\(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)
Therefore, the radius of the small circle is 3.45 cm (3 s.f.).
Eric ran 1 1/4 miles. Then he biked 3 1/2 times farther than he ran.
How far did Eric bike?
Enter your answer as a mixed number in simplest form.
Answer: He biked 4 and 3/8 miles
Step-by-step explanation:
since he ran 1.25 miles and biked 3.5 times farther than that you'd multiply both numbers and get 4.375 which simplifies to 4 and 3/8
Taylor is playing a video game. She eams 15 points when she completes Level 1. Each time she completes a level, she earns three
times as many points as the previous level.
How many points will Taylor earn when she completes Level 6?
3645 points will Taylor earn when she completes Level 6.
What is a permutation?Permutation is the arrangement of items in which order matters. In this situation order matters repetition allowed.
According to the question,
Taylor is playing a video game. She earns 15 points when she completes Level 1.
Each time she completes a level, she earns three times as many points as the previous level.
= 15 × \(3^{6-1}\)
= 15 × \(3^{5}\)
= 15 × 243
= 3645
Hence, 3645 points will Taylor earn when she completes Level 6.
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Puzzle Three You are starting a savings account for college. You put $1,000 in as your starting balance. You earn simple interest at 10% every year. You also must pay 30% income tax on the interest earned annually. Calculate the interest, balance, tax paid, and the overall balance of the account after taxes. To break the code determine the accounts overall balance for year 5 after taxes after been paid.
the answer I think you might be looking for is $1070
What is the value of x? X
+ 4/9= 3/4
Answer:
X = 11/36
Step-by-step explanation:
First, find the common denominator of the fractions and convert them.
(4/9) x 4 = 16/36
(3/4) x 9 = 27/36
X + 16/36 = 27/36
Now you can solve for X
X = 11/36
The fraction cannot be simplified
Can somebody please help me with this question
Answer:
number 2
Step-by-step explanation:
A cougar did not attack to the victim.ibthinj this is answer
help on this question
Answer:
sec t = 1/(cos t) = 1/(-3/4) = -4/3
Workers are preparing an athletic field by mixing soil and sand
in the correct ratio. The table shows the volume of sand to mix
with different volumes of soil. Which statement is correct?
A For 1,425 m³ of soil, the workers should use 375 m³ of sand.
B The ratio of the volume of soil to the volume of sand is 1:4.
C A graph of the relationship includes the point (900, 225).
D The equation y = 4x models the relationship.
Option B: The ratio of the volume of soil to the volume of sand is 1:4.
Looking at the table, we can see that for every 100 m³ increase in soil, the sand volume increases by 25 m³. This gives us a ratio of 4:1, which means that the volume of sand is one-fourth of the volume of soil. Therefore, option B is correct.
Option D: The equation y = 4x models the relationship.
We can see that the volume of sand is always one-fourth of the volume of soil. Therefore, we can write y = (1/4)x or y = 0.25x. This equation is the same as y = 4x. Therefore, option D is also correct.
So, the correct statements are B and D.
What is a graph?In mathematics, a graph is a visual representation of data or a mathematical function. It consists of a set of points or vertices connected by lines or curves called edges or arcs, which represent the relationships between the points. Graphs can be used to show trends, patterns, and relationships in data, and they are commonly used in fields such as statistics, economics, and computer science. Some common types of graphs include line graphs, bar graphs, pie charts, scatterplots, and network graphs.
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The table mentioned in the question has been attached below.
The soda bottle below holds 16 ounces. What is the unit rate of the soda?
Answer:
16 oz per bottle
Step-by-step explanation:
Answer:
11.1 repeating per dollar
An isotope with a mass number of 193 has 116 neutrons. What is the atomic number of this isotope?
Answer:
Yttrium
Step-by-step explanation:
The atomic number of yttrium is 39. . An isotope with an atomic mass of 193 has 116 neutrons.
Answer:
77
number of protons is 77. Therefore atomic number atomic number is 77.
Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the table below. What is the conditional relative frequency of people in suburban areas who drive to work? Urban Suburban Rural Total Walk 19 4 10 33 Bike 15 12 8 35 Public Transportation 22 17 7 46 Drive 6 20 33 62 Total 62 53 58 176
Answer:
We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.
Step-by-step explanation:
hope it helps ig
What’s the correct answer for this question?
Answer
A. 18(3/4)π
Explanation
In the attached file
During the editing step, what function helps spot errors in your writing and helps you to fix them?
A. Spell check
B. Internet
C. Dictionary
D. Thesaurus
Answer:
The answer is A: Spell check
Write to explain how Monty can use the number line to find an equivalent fraction with a denominator less than 6
What is the radius of this circle !! Please answer
Answer:
its half of 8 so 8/2=4
Step-by-step explanation:
Answer:
4cm
Step-by-step explanation:
The diameter is double the radius of a circle.
Here, the diameter is 8cm so the radius will be half of it (8/2)=4.
Hope this helps you :)
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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Solve the following system of equations using elimination.
4x + 2y = 24
6x – 2y = 36
Answer:
(x,y)=(6,0)
Step-by-step explanation:
10x=60
x=6
4^6+2y=24
y=0
(brainliest answer)if you answer this in a correct answer ill mark you as a brainliest
Answer:
the Image Does not pop up for me???