14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two angles.
Answer:
421/6 degrees
Step-by-step explanation:
The acute angles of a right triangle are complementary, so
\(10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}\)
So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.
has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
Read more on perimeter of a rectangle here: brainly.com/question/28695033
#SPJ1
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
1
2
Active
A polynomial is factored using algebra tiles.
+x²+x+X
--X
k
Mark this and return
1
I
I'
T
1
1
I
10
Which polynomial was factored?
Ox²-2x-8
Ox²+2x-8
Ox²-2x-4
Ox²+2x-4
Save and Exit
Next
TIME REMAINING
57:47
Submit
(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.
Given are the polynomials,
1) x² - 2 x - 8
Factors = (x+2)(x-4)
2) x² + 2 x - 8
Factors = (x-2)(x+4)
3) x²-2x-4 = There will be no integral root.
4) x²+2x-4 = There will be no integral root.
Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.
Learn more about factorization click;
https://brainly.com/question/14452738
#SPJ1
Nick Nora & Nancy have pets. One has a kitten, one has a puppy, one has a gerbil. Nora has a gerbil. Nancy is a cousin of the person with the kitten. Who has the puppy?
Answer:
Nick
Step-by-step explanation:
NICK HAS THE KITTEN BECAUSE NORA HAD A GERBIL AND NACY IS THE COUSIN OF THE PERSON WITH THE KITTEN SO THAT WOULD MEAN NANY HAS A PUPPY.
Determine the values of x in the equation x2 = 64.
helppppppp pleassssseeeeee
Answer:
First blank is 4, second blank is 0
Step-by-step explanation:
divide it :)
Answer:
Yellow box #1=0
Yellow box #1=4
Step-by-step explanation:
A cylindrical-shaped hole is 42 feet deep and has a diameter of 5 feet.
Approximately how large is the hole?
A. 210 ft
B. 630 ft
C. 825 ft
D. 3,300 ft
A 46- meter firetruck ladder is leaning against the wall. Find the distance in the ladder goes up the wall if it makes an angle of 52° with the ground. Answer to the nearest meter. Draw a picture, write a equation, and solve.
Given:
The length of ladder is, l = 46 m.
The angle formed by the ladder with the ground is, θ = 52°.
The objective is to find the distance in the ladder goes up in the wall.
Explanation:
The situtation can be represented as,
Here, x represents opposite side which is the distance in the ladder goes up the wall. l represents the hypotenuse side which the length of the ladder.
To find x:
The value of x can be calculated using trigonometric ratio of sin.
\(undefined\)Show the algorithm/abstract strategy to justify the 3/5?
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
For similar question on algorithm/abstract strategy.
https://brainly.com/question/31332020
#SPJ8
You are on level ground in the late afternoon. The Sun is at angle of elevation of 17 degrees. A tree casts a 206-foot long shadow feet. What is the height of the tree in the nearest foot
\(\\ \sf\longmapsto tanC=\dfrac{AB}{BC}\)
\(\\ \sf\longmapsto tan17=\dfrac{AB}{206}\)
\(\\ \sf\longmapsto AB=0.3(206)\)
\(\\ \sf\longmapsto AB=61.8ft\)
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
For more such questions on investment
https://brainly.com/question/29227456
#SPJ8
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
For similar question on exponent.
https://brainly.com/question/28843064
#SPJ8
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
For more questions on algebraic expression:
https://brainly.com/question/29333936
#SPJ8
A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?
Answer:
30,000
Step-by-step explanation:
150 x 200
Explanation:
To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
For such more questions on ordered triple
https://brainly.com/question/29197252
#SPJ8
log(a-b) = log a-log b
If two chords are the same distance from the center of a circle, then they are ______.
Answer:
1 is the answer to have the distance same
solve pls brainliest
Answer:
1. there are 0 4s in 0 so the first one is 0
2. you can not reach to 8 with 0s, so the answer is undefined
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
for such more questions on probability
https://brainly.com/question/29070527
#SPJ8
I purchased a new Apple iPad on Amazon for $249.00. The tax rate is 8.625%. What is the total purchase price of the iPad?
Answer:
270.47625
Step-by-step explanation:
249 is the original price
(249/100) · 8.625 = 21.47625 the tax total
249 + 21.47625 = 270.47625
There are 45students in class 7. Among them 1/3are girls. find the numbers of girls and boys
Answer:
girls are 15 and boys are 30
Answer:
15 girls and 30 boysStep-by-step explanation:
Given,
No. of students in the class = 45
Fraction of girls = 1/3
Therefore,
No. of girls = 45 × 1/3
= 15
No. of boys = 45 - 15 = 30
Hence,
In class 7 there are 15 girls and 30 boys (Ans)
Blake measures the lengths, in inches, of 10 insects. He records the lengths of the insects on this line plot. He adds the lengths of the 3 longest insects.
Answer: 5 inches
Step-by-step explanation:
The x's denote the insects measured so the longest insects would be of lengths:
1³/₄ inch, 1³/₄ inch and 1¹/₂ inch.
Adding them together would require converting them to improper fractions first:
7/4, 7/4, 3/2
Pick a denominator that is both denominators' lowest common multiple = 4
Adding them:
Divide the LCM by the denominator of the fraction and multiply the result by the numerator:
= (7 + 7 + 6) / 4
= 20/4
= 5 inches
(08.03|08.04 HC)
For the regions A and B shown in the graph:
Part A: Discuss the limits of integration. (3 points)
Part B: Set up an integral expression that represents the total area. (4 points)
Part C: Calculate the total area. (3 points)
The total area from the graph is 2.737.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
First of all, lets calculate the points of intersection (P, Q, R)
x²+3=(x+2) +5
x²-2=√(x+2)
x⁴+4-4x²=x+2
x⁴-4x²-x+2=0
(x-2)(x³+2x²-1)=0
(x-2)(x+1)(x²+x-1)=0
x=2, -1, -1±√(1+4)/2
Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2
So the limit of integration will be
P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))
Q(-1, (-1)²+3)=Q(-1, 4)
Area A:
\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)
= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)
= 2.07
Area B:
\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)
= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)
= 0.667
Total area = 2.07+0.667
= 2.737
Therefore, the total area from the graph is 2.737.
Learn more about the area here:
https://brainly.com/question/27683633.
#SPJ1
help I give brainliest if u correct
Answer:
D is the answers for the question
Step-by-step explanation:
please give me brainlest and follow me
Answer:
d
Step-by-step explanation:
D is your answer
hope it's helpful for you
pls mark above guy ans as brainliest
Three parrots A,B and Cwere parroting "hello" once every 3 minutes, 4 minutes and 5 minutes respectively. If three of the starts parroting at 7.00 a.m.,when will they parrots together again
Ayudaaaaaa
Porfi
Gracias
The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006
#SPJ1
write x^2+8x+19 in the form (x+c)^2+d
Answer:
\(x^{2} + 8x+19=0\)
shift 19 to other side
\(x^{2} +8x = -19\)
take constant term of 'X' AND DIVIDE BY 2 ALSO SQUARE IT
\(4^{2}\)
add \(4^{2}\) to both sides
\(x^{2} +8x +4^{2}= -19 +4^{2}\)
\((x+4 )^2 = -3\)
\((x+4 )^{2} +3 =0\)
Step-by-step explanation:
see if its correct?
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?
Answer:
Step-by-step explanation:
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.
To Find :
How many centimetres in the image are used to show 1 foot of the sculpture.
Solution :
Ratio of enlargement is :
Let, enlarged size of 1 foot required x cm of image.
Therefore, 1.6 cm of image is required.
Hence, this is the required solution.
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
The length of side AB in right angled triangle ABC will be 48 cm.
What is a right angled triangle?Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.
Given,
∠B= 90°, AC = 96 cm, ∠C = 30°
Now, we know, Trignometric ratio sin θ in triangle can be given by-:
sin θ = \(\frac{perpendicular}{hypotenuse}\)
From given figure,
Perpendicular= AB= ?
and Hypotenuse= AC = 96
and θ= 30°
Hence,
sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)
\(\frac{1}{2} = \frac{AB}{96}\) (∵ sin 30°= 1/2)
\(AB=\frac{96}{2}\)
\(AB= 48 cm\)
Thus, AB= 48 cm
Learn more about right angled triangle here:
https://brainly.com/question/3772264
#SPJ1
Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?