Answer:
[tex]10\ inches[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
Let
x----> the height of cone B
using proportion
[tex]\frac{3}{2}=\frac{15}{x} \\ \\x=2*15/3\\ \\x=10\ in[/tex]
how do i find the percentage???
Write 0.214214214...as a fraction.
Answer:
012/1000
Step-by-step explanation:
About ______% of the area is between zequalsminus1 and zequals1 (or within 1 standard deviation of the mean).
According to the empirical rule, about 68% of the data in a normal distribution is within one standard deviation of the mean, which corresponds to z-scores between -1 and 1.
Explanation:The question is about the percentage of data found within certain ranges of standard deviations from the mean in a normal distribution, as represented by z-scores. Specifically, it refers to the proportion of data within one standard deviation (z-scores between -1 and 1). According to the empirical rule (also known as the 68-95-99.7 rule), about 68% of the data in a normal distribution is within one standard deviation of the mean.
So, about 68% of the area is between z=-1 and z=1 (or within 1 standard deviation of the mean). This empirical rule is a quick way to estimate the spread of data in a normal distribution and is useful for various statistical analyses.
What is the measure of arc WX in the diagram below ?
The measure of the arc WX is 26 degrees.
What is the secant of the circle?A secant is a line that intersects a circle in exactly two pints. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one half the positive difference of the measure of the intercepted arcs.
According to the given question.
WSX is a secant angle.
TR and WX are intercepted arcs.
Therefore, by the secant of the circle formula
[tex]\frac{1}{2} (116^{o} -WX) = 45^{o}[/tex]
[tex]\implies 116^{o} -WX = 90^{o}[/tex]
[tex]\implies WX = 116^{o} -90^{o}\\ \implies WX = 26^{o}[/tex]
Hence, the measure of the arc WX is 26 degrees.
Thus, option B is correct.
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The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?
Answer:
[tex]A = 4500 ft^2[/tex]
Step-by-step explanation:
By definition:
The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.
We know that:
[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]
The perimeter is:
[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]
Now we find the length of the sides:
[tex]AB = 45\\BC = 205\\CA = 200[/tex]
Once the length of the sides is known, we use Heron's formula to calculate the area.
First I find the semiperimeter S.
[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]
Then the Area is:
[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]
Help!!!!!!!!!!!!!!!!! Please!!!!!
Answer:
<1 = 105
<2 =75
Step-by-step explanation:
Vertical angles are always equal. <2 = 75 because it is opposite a vertical angle.
<1 + <2 = 180 (The two angles are given as supplementary to each other).
<1 + 75 = 180 Subtract 75 from both sides.
<1 + 75 - 75 = 180 - 75 Combine
<1 = 105
help me please! what is the answer of this exercise?
Answer: h = 15
Step-by-step explanation:
Volume (V) = Length (L) × width (w) × height (h)
1386 = 14 × 9 × (h - 4)
[tex]\dfrac{1386}{14\times 9}=h-4[/tex]
11 = h - 4
11 + 4 = h
15 = h
What is the value of the expression 3.6x10^8 / 1.2x10^3
Answer:
3 × 10⁵
Step-by-step explanation:
[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]
The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.
Explanation:The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:
Firstly, divide the coefficients: 3.6 ÷ 1.2 = 3 Then, subtract the powers of 10: 8 - 3 = 5 Thus, combining these results gives us 3x10^5
So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.
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10.........................
The answer is:
a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]
Why?To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.
Transforming radical to exponential form:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]
Power of a power property:
[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]
So,
[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]
Have a nice day!
if a group of four friends went to the movies in addition to their tickets they bought a large bag of popcorn to share for $6.25 the total was $44.25
Answer:
Each ticket cost $9.50
Step-by-step explanation:
4x+6.25=44.25
-6.25. -6.25
4x=38
x=9.50
The cost of each movie ticket is $9.5.
Given that, a group of four friends went to the movies they bought a large bag of popcorn to share for $6.25 the total was $44.25.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of each movie ticket be x.
Now, 4x+6.25=44.25
⇒ 4x=44.25-6.25
⇒ 4x=38
⇒ x=38/4
⇒ x=$9.5
Hence, the cost of each movie ticket is $9.5.
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"Your question is incomplete, probably the complete question/missing part is:"
A group of 4 friends went to the movies in addition to their tickets, they bought a large bag of popcorn to share for 6.25 the total was $44.25 what is the cost of one movie ticket?
horace wants to buy a pound of pecans. if a 1 pound bag costs $8.65 and a 4 ounce bag cost $2.35, how much money would horace save by buying the 1 pound bag instead of multiple 4 ounce bags.
Answer:
Step-by-step explanation: there is 16 oz in a pound. Horace would buy 4-4 ounce bags at 2.35 per bag which equals $9.40 and since he can pay $8.65 for a pound bag, there would be a $.75 difference
By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.
Explanation:To find out how much money Horace would save by buying the 1 pound bag instead of multiple 4 ounce bags, we need to compare the unit prices of the two bags. The 1 pound bag costs $8.65, so the cost per ounce is $8.65 divided by 16 (since there are 16 ounces in a pound), which is $0.54 per ounce. The 4 ounce bag costs $2.35, so the cost per ounce is $2.35 divided by 4, which is $0.59 per ounce. By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.
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If y=x-6 where changed to y=x+8 how would the graph of the new function compare with the first one ?
Answer:
The function [tex]y=x+8[/tex] is the function [tex]y=x-6[/tex] shifted 14 units up.
The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)
The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)
Step-by-step explanation:
The equation of the line in slope intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
The first equation is:
[tex]y=x-6[/tex]
The second equation is:
[tex]y=x+8[/tex]
The parent function with the form [tex]y=mx[/tex] can be shifted up or shifted down k units.
When [tex]y=mx+k[/tex] the function is shifted k units up.
When [tex]y=mx-k[/tex] the function is shifted k units down.
Then, the function [tex]y=x+8[/tex] is obtained by adding k=14 to the function [tex]y=x-6[/tex].
Both equation has the same slope, but the y-intercepts are different.
The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)
The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)
There are 44 books per shelf and there are 8 shelves. 1/4 of these books are novels. How many novels will there be?
Answer: 88 Novels
Explanation:
Since there are 44 books per shelf and there are 8 shelves, we have a total of 44*8 or 352 books. Since only a quarter of them (1/4) are novels, we will multiply (1/4) and 352 together to get, 352*(1/4) equals 88 novels
What happens to the volume of a rectangular prism when each of the dimensions is doubled?
A. It doubles.
B. it quadruples.
C. It is six times as great.
D. It is eight times as great.
Plzzz Help
Plz help !!!!!!!!!!!!
Answer: √2
Step-by-step explanation:
[tex]\sqrt[4]{4} =\sqrt[4]{2^2} =2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt2[/tex]
You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?
base, b = 45m
angle of elevation, aoe = 82deg
height at 86th floor, h1
height above 86th floor, h2 = 123m
total height, h = h1 + h2
using
tan (aoe) = h1/b
=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2
h = h1 +h2 = 320.2 + 123 = 443.2m
Which measure of central tendency best describes situation the favorite fruit sold in the cafeteria explain
Answer:
the mode
Step-by-step explanation:
The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often
Final answer:
The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.
Explanation:
The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.
Write the relationship between time and distance in this example
Answer:
Step-by-step explanation:
Y= .25x (12)
I think this is an equation for you question if not
Write a house runs a mile in 4 mins 1/4 = .25 miles /mins
You go with the second one i said. hope this gets brainlist
What are the possible values for p in the equation below? Check all that apply. |p| = 12
Answer:
A and F
Step-by-step explanation:
kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 degrees, how far is Kurt standing from the base of the pole?
angle of elevation, aoe = 59 deg
height, h = 40ft
distance from pole, dfp
using
tan 59deg = h/dfp
=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft
Answer:
24.04 ft
Step-by-step explanation:
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole
Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg, the pole itself and line joining Kurt leg and top of pole.
This is right angled and since angle of elevation is given as 59
we have
height of pole/distance of Kurt from base = tan 59
i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]
where d is the required distance of Kurt from the pole.
Hence x = 24.038
=24.04 feet
please help me this is urgent
Answer:
99.9
Step-by-step explanation:
The dot pot shows the number of miles Zac ran each day
Answer:
could you specify the question because im not sure what it is??
An object is launched from the ground straight up with a initial velocity of 120 ft/s. how long will the rock be in the air?
Answer:
t = 7.5 seconds
Step-by-step explanation:
Givens
vi = 120 f/s
a = -32 f/s
d = 0 It goes up, stops and comes back down landing where it starts.
Formula
d = vi*t + 1/2 a t^2
Solution
0 = 120*t - 1/2*32*t^2 transfer 120t to the left
-120*t = - 1/2 32 t^2 Multiply 32 and 1/2 together
- 120t = - 16 t^2 Divide both sides by t
-120 = -16 t Divide by -16
-120/-16 = (-16/-16) * t
t = 7.5 seconds
Answer:
The answer is actually C. 7.5 I just answered this question on a quiz. I'm sorry for the late response and I hope this helps!
HELP PLEASE HURRY!!!!!!!!!
Find the area of each figure to the nearest tenth.
See the attached pictures for the answers:
8. What’s the answer to this question please
D) $5
Half of $25 is $5
25/5= 5
write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Answer:
C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]
Step-by-step explanation:
The given triangles are similar.
If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.
From the given figure, we are given two corresponding sides of each triangle.
We know the corresponding sides are proportion.
Let's form the proportion using the corresponding sides.
14 corresponds to 18
21 corresponds to 27
Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]
We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.
[tex]\frac{14}{21} = \frac{2}{3}[/tex]
Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.
[tex]\frac{18}{27} = \frac{2}{3}[/tex]
Therefore, answer is C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]
The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.
The ratio of corresponding sides for the similar triangles can be expressed as follows:
Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.
Given:
[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]
The ratio of corresponding sides is:
[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]
To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):
[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]
Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.
Solve –5√ x = –15 Please help!
Answer:
x=9
Step-by-step explanation:
First divide both sides by -5. Once you do this you should have a result of √x=3. from here, square both sides. This will give you an answer of 9
Answer:
x = 9Step-by-step explanation:
[tex]Domain:\ x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\qquad\text{square both sides}\\\\(\sqrt{x})^2=3^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\x=9[/tex]
1)Find the area of a parallelogram with base b and height h
b=82 cm
h=16.6 cm
a) 1,361.2 cm²
b)6,724 cm²
c)137.78 cm²
d)98.6 cm²
Answer:
i got A
Step-by-step explanation:
Final answer:
The area of the parallelogram is 1357.2 cm²
Explanation:
This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.
There are two formulas to find area of parallelogram
1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.
2. By using the formula of area = b × h
Since, base and height are given in the question, second formula will be used
So, to find the area of a parallelogram, we use the formula:
A = base × height
Given:
Base (b) = 82 cmHeight (h) = 16.6 cmSubstituting the values in the formula, we get:
A = 82 cm × 16.6 cm = 1357.2 cm²
Therefore, the area of the parallelogram is 1357.2 cm²
The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?
Answer:
f(x - k) = (x - k)²⇒ k = 5Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
==============================================
Look at the picture.
The graph has been shifted 5 units to the right.
Therefore we have f(x - 5).
x-13=37 what is the value of x
Answer: x=50
Step-by-step explanation: x-13=37, add 13 to both sides to eliminate "-13" on the side with the variable to get the variable by itself and whatever is behind the equal sign is the value of x