The shape of the resulting cross-section will be equal to the trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having four sides whose two sides are parallel to each other and the other two sides are nonparallel to each other.
As it is given in the question the figure is sliced through points J. K. and When the shape is sliced from the given points it will create the trapezoidal shape that will have two parallel sides and the other two sides are Non-parallel
Therefore the shape of the resulting cross-section will be equal to the trapezoid.
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Answer:
Trapezoid
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
A train leaves Thorn Junction at 1:25 P.M. and arrives in Niles at 3:05 P.M. The train makes two stops along the route for a total of 15 minutes.
A second train leaves Thorn Junction at 4:30 P.M. and heads to Niles. This train does not make any stops.
What time will the second train arrive in Niles? Enter your answer in the boxes.
:
P.M.
Answer: It will arrive at 5:55 P.M
Step-by-step explanation:
1 + 3 + 5 + A+9 divide by 5
Answer:
1 + 3 + 5 + A+9 divide by 5
Step-by-step explanation:
Find x to the equation
Triangles 3 and 4 are identical. They are joined in the poster to form a square. Construct a math argument to show why triangles 3 and 4 are isosceles right angles.
Triangles 3 and 4 are isosceles right angles because they have same length.
How to explain the triangle?It should be noted be noted that the square has all right angles equal. The largest angle of the triangle is the right angle m.
Here, the triangles are isosceles right angles as both the legs and the acute angles are congruent.
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what's the answer to this
Answer:
AC ≈ 17.3 , BC ≈ 5.3
Step-by-step explanation:
using the tangent ratio in right triangle ACD
tan51° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AD}[/tex] = [tex]\frac{AC}{14}[/tex] ( multiply both sides by 14 )
14 × tan51° = AC , then
AC ≈ 17.3 ( to the nearest tenth )
using the cosine ratio in right triangle ABC
cos72° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{17.3}[/tex] ( multiply both sides by 17.3 )
17.3 × cos72° = BC , then
BC ≈ 5.3 ( to the nearest tenth )
6. Dana measured the height of her
bedroom wall to be 3 yards tall. Which of
these is closest to the equivalent
measurement?
Answer:
9 feet, 108 inches, 274.32 cm, 2.7432 meters
Step-by-step explanation:
Not enough information is given to answer.
You didn't provide the list of "these" to choose from, but I can just list some potential answers I could see being an option.
3 yards = 9 feet [1 yard = 3 feet. 3 yards = 9 feet]
9 feet is also 108 inches [1 foot = 12 inches. 9 feet = 108 inches]
3 yards = 108 inches
{There are 91.44 cm in a yard} (1 yard = 91.44 cm. 3 yards = 274.32 cm),
3 yards = 274.32 cm
3 yards = 2.7432 meters (1 yard = 0.9144 meters; 3 yards = 2.7432 meters)
The regular price of a CN Tower Souvenir was $32, During its sale, The price was reduced down by $24, Find the percent discount
Answer:
Discount of 25%
Step-by-step explanation:
To find the percent discount, subtract the big number minus small number then divide by the original number.
[tex]\frac{32-24}{32}[/tex]
[tex]\frac{8}{32} \\[/tex]
Reduce
[tex]\frac{1}{4}[/tex]
Change to a decimal by dividing
1/4 = 0.25
Change to a percent by moving the decimal two places right.
0.25 -----> 25%
Please solve (21 points)
Answer:
he width of the ravin is 47
It takes Kenesha 45 minutes to prepare 20 greeting cards. It takes Paula 30 minutes to prepare the same number of cards. Working together at this rate, how long will it take them to prepare the cards?
Using the together rate, it is found that it will take them 18 minutes to prepare the cards working together.
What is the together rate?The together rate is the sum of each separate rate.
In this problem:
The together rate is of 1/x.Kenesha's rate is of 1/45.Paula's rate is of 1/30.Hence, the time it will take for them to make the cards is given by:
[tex]\frac{1}{x} = \frac{1}{45} + \frac{1}{30}[/tex]
[tex]\frac{1}{x} = \frac{5}{90}[/tex]
5x = 90
x = 18 minutes.
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A tower that is 125 feet tall casts a shadow 173 feet long find the angle of elevation of the sun to the nearest degree
Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
What is the Tangent Ratio?In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
Angle of elevation = ∅ Opposite length = 125 ftAdjacent length = 172 ftApply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
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Which algebraic expression is equivalent to the expression below?
3(5x + 7)-6(4- 2x)
3(5x+7)-6(4-2x) - given
15x+21-24+12x - distributive property
27x-3 - combine like terms
Write these ratios in their simplest form. You must show all your workings:
a. 2 litres:600ml
b.8h:1day
c.3km:250m
The simplest form of the given ratios are : 10:3 , 1:3 , and 12:1
What is Ratio?A ratio indicates how many times one number contains another.
Here, for given ratio
2 litres : 600 ml = 2000 ml : 600 ml
= 20 : 6
= 10 : 3
8 h : 1 day = 8 hrs : 24 hrs
= 8:24
= 1 : 3
3 km : 250 m = 3000 m : 250 m
= 3000 : 250
= 300 : 25
= 12 : 1
Thus, the simplest form of the given ratios are : 10:3 , 1:3 , and 12:1.
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convert the following equation into standard form y=-5x/8 + 3
Explain why the "+ C" is not needed in the antiderivative when evaluating a definite integral.
The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.
How to represent Integrals?
Let us say we want to estimate the definite integral;
I = [tex]\int\limits^a_b {f'(x)} \, dx[/tex]
Now, for any C, f(x) + C is an antiderivative of f′(x).
From fundamental theorem of Calculus, we can say that;
[tex]I = \int\limits^a_b {f'(x)} \, dx = \phi(a) - \phi(b)[/tex]
where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.
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Someone, please help!! if u actually know how to do it
Answer:
[tex]distance=\sqrt{(-2-(-5))^{2} +(6-(-10))^{2}}[/tex]
distance = 16.2788
Step-by-step explanation:
This question is asking you to correctly apply the distance formula. This formula determines the straight line distance between two points by applying Pythagorean's Theorem ([tex]h = \sqrt{x^{2}+y^{2} }[/tex]). The distance formula can be thought of as [tex]distance=\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2})^{2}}[/tex]. It doesn't matter which order you put your coordinates into the equation as long as it's the square root of the change in x-coordinates squared + change in y-coordinates squared.
Step 1: change in x-coordinates
x1 = -2
x2 = -5
x1 - x2 = -2 - (-5) = 3
Step 2: change in y-coordinates
y1 = 6
y2 = -10
y1 - y2 = 6 - (-10) = 16
Step 3: plug into distance formula
[tex]distance=\sqrt{(-2-(-5))^{2} +(6-(-10))^{2}}[/tex]
[tex]distance=\sqrt{(3)^{2} +(16)^{2}}[/tex]
[tex]distance=\sqrt{9 +256}[/tex]
[tex]distance=\sqrt{265}[/tex]
distance = 16.2788
maria has 2 5/6 yard of fabric Jessica has 3 1/6 yards of fabric how much do they have altogether
Answer:
Step-by-step explanation:
solve for b
−9b)+b=2b−(b+1)
Answer:
[tex]b = \frac{1}{9}[/tex]
Step-by-step explanation:
-9b + b = 2b - (b + 1)
Let's simplify by taking out the parenthesis.
-9b + b = 2b - b - 1
Now, we add like terms.
-8b = b - 1
Now, let's subtract b from both sides of the equal sign in order to isolate b.
-8b - b = b - 1 - b
Simplify!
-9b = -1
Divide both sides by -9.
-9b ÷ b = -1 ÷ -9
Simplify.
[tex]b = \frac{1}{9}[/tex]
Answer:
[tex]b = \frac{1}{9} [/tex]
Step-by-step explanation:
[tex] - 9b + b = 2b - (b + 1) [/tex]
Solve the brackets.
[tex] - 9b + b = 2b - b - 1[/tex]
Combine like terms.
[tex] - 8b = b - 1[/tex]
Take b to the left side.
[tex] - 8b - b = - 1[/tex]
Combine like terms.
[tex] - 9b = - 1[/tex]
Divide both sides by -9.
[tex] \frac{ - 9b}{ - 9} = \frac{ - 1}{ - 9} \\ b = \frac{1}{9} [/tex]
find the 44th term in the following arithmetic sequence
2,3,4,5,....
Answer:
the answer is 45
Step-by-step explanation:
the answer is 384
Step-by-step explanation:
a1 = 2, a2 = 3, a3 = 4,
an = ?
n = 44
d = a2 - a1 = 3 - 2 = 1
d = a3 - a2 = 4 - 3 = 1
Here, the common difference is the same everywhere
So,
[tex] a_{n} = a + (n - 1) \times d[/tex]
[tex]a_{44} = 2 + (44 - 1) \times 1[/tex]
[tex]a_{44} = 2 + 43[/tex]
[tex]a_{44} = 45[/tex]
help please? 50 points if correct
Answer:
15400 in² :)))!
Step-by-step explanation:
Input Data:
Radius = 70 in
Objective:
Find the area of the circle.
Solution:
Area = πr2
= 3.14 x (70) ^2
= 3.14 x (4900)
Area = 15400 in²
please help 35 points!!
Answer:
67m²
Step-by-step explanation:
12m + 6m + 4m + 36 m 8m = 67m²
please please help me I'll give whaever
answer:
1769.344983 or 1769.34 (depends on what you’re rounding to)
explanation:
- the equation for a cylinder‘s surface area is: (2 π r h)+(2 π r^2)
so 2 just means x2
π is just pi
r is your radius and for this equation your radius is 8 cm
and h is your height so for this equation your height is 27.2 cm
- so the equation filled in is:
(2 x π x 8 x 27.2) + (2 x π8^2) = 1769.344983 or 1769.34
(2 x π x 8 x 27.2) = 1367.221123
(2 x π8^2) = 402.1238597
1367.221123 + 402.1238597 = 1769.344983
hope this helps :)
EASY POINTS Find the domain of the graphed function.
Using it's concept, it is found that the domain of the graphed function is given as follows:
D. [tex]-4 \leq x \leq 2[/tex]
What is the domain of a function?It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this graph, x assumes values between -4 and 2, inclusive due to the closed circle, hence the domain is given by:
D. [tex]-4 \leq x \leq 2[/tex]
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27 As shown in the diagram below, secants PWR and PTS are drawn to circle O from external point P.
12/
O.
W
T
P5
If m/RPS = 35°and mRS = 121°, determine and state mWT.
By applying the Theorem of Intersecting Secant, the measure of angle WT is equal to 51°.
How to determine angle m<WT?By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the Theorem of Intersecting Secants.
What is the Theorem of Intersecting Secants?The Theorem of Intersecting Secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the Theorem of Intersecting Secant, angle P will be given by this formula:
m<P = ½ × (m<RS - m<WT)
Substituting the given parameters into the formula, we have;
35 = ½ × (121 - m<WT)
70 = 121 - m<WT
m<WT = 121 - 70
m<WT = 51°.
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A number multiplied by third of itself makes the product 10584, what is the number ?
Answer:
-15876
Step-by-step explanation:
|correct me if I'm not correct|
(Hope it's Help)
[keep safe]
The number is 15876
What is Number system?Number systems are systems in mathematics that are used to express numbers in various forms and are understood by computers. A number is a mathematical value used for counting and measuring objects, and for performing arithmetic calculations. Numbers have various categories like natural numbers, whole numbers, rational and irrational numbers, and so on. Similarly, there are various types of number systems that have different properties, like the binary number system, the octal number system, the decimal number system, and the hexadecimal number system.
What are Number Systems?A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity. These numbers are used as digits and the most common ones are 0 and 1, that are used to represent binary numbers. Digits from 0 to 9 are used to represent other types of number systems.
Given number:
10584
So, the number multiplied by the third of itself
x* 2/3 = 10584
x= 10584* 3/2
x= 15876
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The cost of printing books C varies partly as the amount A charged by the printer
and partly varies inversely as the number n of books printed. When 1000 books
were printed, the amount charged was GHC5000 and the cost of printing was
GHC75010 and when 2500 books were printed, the amount charged was
GHC10000 and the cost of printing was GHC50,004.
Find an equation connecting C,A and n
The equation connecting C,A and n is C = 25A - [tex]\frac{49990000}{n}[/tex]
What is variation?Variation is a mathematical term used to show how a quantity behaves when one quantity increases or decreases.
Analysis:
C = AK + M/n
where K and M are constants
when n = 1000, A = 5000, C = 75010
75010 = 5000K + M/1000-----------1
50004 = 10000k + M/200-------------2
solving simultaneously, K = 25, M = -49990000
C = 25A - 49990000/n
In conclusion, the equation connecting C,A and n is C = 25A - 49990000/n
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12 to 30 Express as a fraction in the lowest terms?
Answer:
2/5
Step-by-step explanation:
A prism has three times the volume of a pyramid with the same base and altitude.
O
A. True
O
B. False
Answer:
I believe it's true. Good Luck! :)
Step-by-step explanation:
the zeros of the function f(x) = x² + 5x - 6 are show your work
Answer:
x = - 6 , x = 1
Step-by-step explanation:
to find the zeros let f(x) = 0 , that is
x² + 5x - 6 = 0
consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term ( + 5)
the factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
(x + 6)(x - 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 1 = 0 ⇒ x = 1
Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $70
Semi annual property taxes $380
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $125
The total yearly expenses for the rental property will be_____.00.
Based on the expenses involved in running the property, and the rental amount, the return on the investment would be 18.82%.
What is the return on investment?The ratio of net income to investment is known as return on investment (ROI). A high return on investment (ROI) indicates that the investment's benefits outweigh its cost.
ROI is a performance indicator that is used to assess an investment's effectiveness or to compare the efficiencies of several distinct investments.
First, find the amount earned per year:
= 850 x 12
= $10,200
The yearly expenses would be:
= (390 x 12) + (70 x 12) + (380 x 2) + 500 + (125 x 12)
= 4,680 + 840+ 760+ 500 + 1500
= $8280
The annual ROI is:
ROI= (10,200 - 8280) / 10,200 x 100%
ROI = 18.82%
Therefore the expenses involved in running the property, and the rental amount, the return on the investment would be 18.82%.
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write 25.59 in scientific notation
Answer:
2.559 × 10 to the 1st power
Step-by-step explanation:
using a SNC
Answer:
2.559 * 10^1
Step-by-step explanation:
Rules of scientific notation (that I always remember)
- the number must be between 1 and 9
- if number gets smaller, exponent gets bigger; if number gets bigger, exponents gets smaller
25.59 is bigger than 9 so we move the decimal one place value to the left
and the number gets smaller meaning the exponent increases