Answers
Answer: [tex]7,5.66,39^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]IJ=9\\\angle I=51^{\circ}[/tex]
from figure, we can write
[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]
[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]
In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]
[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]
Related Questions
Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.
Answers
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answers
Answer:
52ft
Step-by-step explanation:
Using f(x) =8x^2 and g(x) = 2x +8
Find f(g(x))
Answers
Answer:
32x²+256x+512
Step-by-step explanation:
f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answers
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
Can someone help me
Answers
I'll help.
A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?
it's easy, you only need to divide 15 by 5.
Like this :
15÷5= 3
• because 5×3 = 15 , so you just need to flip it over
so, the student need 3 minutes to solve 5 problems
Mhanifa please help! This is due soon and I dont want to fail
Answers
Answer:
#1
Sum of interior angles is 180:
y = 180 - (42 + 31) = 107The law of sines:
x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72#2
The law of cosines:
cos 76 = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61#3
Same as above:
2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42#4
Sum of interior angles is 180:
y = 180 - (52 + 94) = 34The law of sines:
x / sin 34 = 15 / sin 94x = 15 sin 34 / sin 94 x = 8.41A circle with a radius of 6 feet has a central angle of 120° in terms of π what is the area of the sector?
Answers
Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.
Rita says she bought a total of 14.4 L of water.
Use estimation to show that her answer is reasonable.
Drag the numbers into the boxes to complete the number sentence.
_____x______= L
1 2 8 15 16 20 120 160
Answers
Answer:
Equation: 2 x 8 = 16
Step-by-step explanation:
1.8 ≈ 2
8 ≈ 8
2 x 8 = L
L = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
ILL BRAINLIEST YOU PLEASE HELP ME
Answers
x+79+10=90
Then Combine like terms
x+89=90
subtract 89 from each side
x=1
Answer:
x = 51.5
Step-by-step explanation:
A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?
A 3
B 6
C 10
D 12
Answers
Answer:
D
Step-by-step explanation:
15^2 = 9^2 + x^2
x^2 = 15^2 -9^2
x^2 = 225-81
x^2 = 144
x = 12
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answers
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?
Answers
Answer:
352.
Step-by-step explanation:
The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.
So the sum = 2*4 + 43*8
= 352.
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.
Answers
Answer:
I need this tooo, did u find it??
Step-by-step explanation:
HELP WORTH 50 points
Answers
Answer: π = 218956.44
Step-by-step explanation:
π = (132π^2)4
π = (54739.11)4
π = 218956.44
Answer:
218956.4
Step-by-step explanation:
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answers
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
Find the oth term of the geometric sequence 4, -16,64, ...
CAN SOMEONE HELP
Answers
Answer:
262144
Step-by-step explanation:
The sequence increases by a multiple of -4
Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times
7. Which relation is a function?
CC8F.1
A. {(0,0). (1.1), (2.2), (0,3)}
B. {(0,0). (0,1),(0,2), (0,3)}
C. {(0,0), (0.1), (1.0), (0.2)}
D. {(0,0), (2.0), (4.0), (6,-2)}
Answers
Answer:
D. relation is a function
hope this helps :-))
DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability
1. Provide an example of when probability is used in the media
2. Give a personal example of when probability informed your decision making
3. Provide an example of probability being used to influence a decision
4. Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answers
Answer:
Here is ur answer :
1. Probability of composing music for a movie is 1
2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .
3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .
4. Sorry i don't know
Hope the others will help you !!
Multiply the polynomials
(2x - 5) (-3x^2 + 4x - 7)
Answers
[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]
Answer:
-6x^3 + 23x^2 - 34x + 35.
Step-by-step explanation:
(2x - 5) (-3x^2 + 4x - 7)
= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)
= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35
= -6x^3 + 23x^2 - 34x + 35.
x + 7y = 6x-(2/3)
Solve for x and y. You do not need to show your work
Answers
Answer:
[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]
[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]
Step-by-step explanation:
Solve for x:remove parentheses:
[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]
move x to left hand side and y to right hand side and change its sign:
[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]
simplify Substraction:
[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]
divide both sides by -5:
[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]
Solve for y:move x to the right hand side and change its sign:
[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]
simplify Substraction:
[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]
simplify substraction:
[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]
divide both sides by 7:
[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]
and we are done!
What numbers multiply to make -384 and add to make 8?
Answers
Answer:
-16 and 24
Step-by-step explanation:
-16 x 24 = -384
-16 + 24 = 8
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
Answers
The data below represents the number of practices each member of Nidhi's ski team attended.
\qquad25,28,29,29,30,34,35,35,37,3825,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38
HELP
Which box plot correctly summarizes the data?
Answers
The right box plot that summarizes the data should look like the one constructed below in the diagram attached.
We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.
Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32
Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.
Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.
To learn more about box plots;
https://brainly.com/question/14277132
#SPJ1
Which answer is correct?
Answers
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
solve for -3x ≤ -9
I need it for math so be correct
Answers
Divide each term by −3-3 and simplify.
Inequality Form:
x≥3
Answer:
x≥3
Step-by-step explanation:
Divide both sides by -3.
−3x/ −3 ≤ −9/ −3
x≥3
Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answers
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
SOMEONE HELP ITS 2IN THE MORNING AND I CANT THINK PROPERLY RIGHT NOW
Answers
Answer:
Step-by-step explanation:
37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)
119=x
therefore x=119 degree
Find five rational numbers between −2/3 and 0
Answers
Step-by-step explanation:
-1.4 or - 14/10
-1.3 or -13/10
-1.2 or -12/10
-1.1 or -11/10
-1.0 or -1/1
Which is the answer ? Please help
Answers
Answer:
Answer is C.
Step-by-step explanation:
8÷8= 1
1 whole
What is the median number of books read?
Answer options with 5 options
A.5
B.8
C.9
D.10
E.11
Answers
Answer:
The answer is B:8
Step-by-step explanation:
because when you line up the numbers in order
5 6 7 8 11 11 15
The middle number is 8