Answer:
S = 36
Step-by-step explanation:
s/3 + 14= 26
s/3 = 12
s = 36
Answer:
Step-by-step explanation: (1/3)*s+14 = 26 // - 26
(1/3)*s-26+14 = 0
1/3*s-12 = 0 // + 12
1/3*s = 12 // : 1/3
s = 12/1/3
s = 36
s = 36
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
What is the measure of the missing angle?
88°
92°
98°
180°
Answer:
88°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 2 given angle and subtract from 180 for missing angle
missing angle = 180° - (56 + 36)° = 180° - 92° = 88°
Suppose 5x^3 + kx^2 – 7x - 6 = (5x + 2)(ax^2 + bx+c) for all x. Find the values of a, b,c, and k.
Answer:
see explanation
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms
(5x + 2)(ax² + bx + c)
= 5x(ax² + bx + c) + 2(ax² + bx + c) ← distribute parenthesis
= 5ax³ + 5bx² + 5cx + 2ax² + 2bx + 2c ← collect like terms
= 5ax³ + x²(5b + 2a) + x(5c + 2b) + 2c
For the 2 sides to be equal then like terms must equate, that is
5ax³ = 5x³ ⇒ 5a = 5 ⇒ a = 1
2c = - 6 ⇒ c = - 3
5b + 2a = k
5c + 2b = - 7 ← substitute c = - 3
- 15 + 2b = - 7 ⇒ 2b = 8 ⇒ b = 4
Substitute a = 1, b = 4 into 5b + 2a = k
20 + 2 = k ⇒ k = 22
The required values are
a = 1, b = 4, c = - 3 and k = 22
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
Write 0.214214214...as a fraction.
Answer:
012/1000
Step-by-step explanation:
help me please asap!!!!!
Answer:
Step-by-step explanation:
It's simple just review the division and rules of exponents.
The slash means nothing more than divide 8/2=4 You're diving right? See!
The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.
8/2=4
exponents x^3/x subtract x^2
4x^2
next..6/2=3
exponents x^2-x=x think of it as x is always 1 the exponent just shows you how many xs you have.
So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!
The answer for your question would be, 4x^2+3x.
You're welcome!
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
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!
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
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
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.
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?
PLEASE HELP ASAP <333
What is the sum of the geometric series ?
Answer:
Step-by-step explanation:
There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.
One: 6^(1 - 1) = 6^0 = 1
Two: 6^(2 - 1) = 6^1 = 6
Three: 6^(3 - 1) = 6^2 = 36
Four: 6^(4 - 1) = 6^3 = 216
Sum = 259
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**.
Can you help me on 34 and 35 please
-- #34 is choice-C .
-- See the picture attached to this answer, for both solutions.
PLEASE HELP!!!!
When the battle began, there were 30 percent more brigantines than men-of-war. If there were 260 brigantines, how many total ships took part in the battle?
how do i find the percentage???
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]
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!
If the label of a can of yams were cut off and laid flat, which expression would give the area, A, of the label with the measurements shown?
Answer:
Step-by-step explanation:
yep hes correct C.) A = 2 • π • r • h
Step-by-step explanation:
The distance around a circle is the circumference, and the formula for it is
C = 2πr.
Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.
To find the area of a rectangle, we multiply length and width; we know the length is 2πr. The width of the rectangle is the height of the can; this makes the area
A = 2πrh. give him brainly not me
Answer:
its option c A=2 times pi times r times h
Step-by-step explanation:
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
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
8. What’s the answer to this question please
D) $5
Half of $25 is $5
25/5= 5
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
Complete the truths table
Answer:
First Column:
T
F
F
F
Second Column:
F
T
T
T
Step-by-step explanation:
I'm assuming ~ means NOT and ^ means AND.
Evaluate the first column using AND logic; both inputs must be true for the output to be true.
Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.
Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was
Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.
Which of the following inequalities matches the graph? graph of an inequality with a solid horizontal line through the point 0, negative 1 and shading above the line
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is [tex]y\geq -1[/tex]
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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which type of probability requires the use of the addition rule. explain ?
When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event. P(A or B) = P(A) + P(B) so you add them
hope this helps :)
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
Draw a plane intersecting a cube to get
The cross section indicated. Which answer. Thanks.
Answer:
It's B.
Step-by-step explanation:
A gives a triangle.
B gives a rectangle.
C gives a trapezoid.
D gives a square.