Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
If f(x) = 2/3 x-6, what is the value of f(-9)?
Answer:
-12
Step-by-step explanation:
f(-9) = 2/3(-9) + (-6)
f(-9) = -6 + (-6)
If the parent function is fx) = x^3 which transformed function is shown in the graph?
A. g(x) = (x-3)2
B. g(x) = (x+3)^3
C. g(x) = x^3 + 3
D. g(X) = x^3-3
Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
[tex]y = f(x - c)[/tex], will shift [tex]f(x)[/tex] right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, [tex]y = f(x - c)[/tex]:
g(x) = (x-3)³ is the transformed function.
From the graph,
The Red graph indicates the parent function i.e. f(x) = x³ The Blue graph indicates the transformed function i.e. g(x) = (x-3)³It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
how do you do this , i need help!!
Answer:
i dont know
Step-by-step explanation:
Answer:
112º
Step-by-step explanation:
(you may need a calculator for this)
first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D
Can someone help me with this to?
A doctor collected data on how many hours children of different ages slept in a day. Data for 5 participants are
shown below.
The answers is the picture I posted. I did in khan academy and it was right.
The data values of the scatter plot are (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)
How to represent the table on a scatter plot?The table of values is given as:
x: 1 2 3 5 8
y: 13 11 10 9 8
This means that the data values are:
(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)
See attachment for the scatter plot
Read more about scatter plots at:
https://brainly.com/question/6592115
6 and 6x are like terms
true or false
Answer:
False
Step-by-step explanation:
Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.
i need help with geometry
Answer:
B. rectangle, square, quadrilateral, parallelogram, rhombus
Step-by-step explanation:
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Melissa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $ 0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish?
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
(please look at the photo)
Answer:
8% increase
Step-by-step explanation:
The length after the increase:
30 x 1.1 = 33cm
The width after the increase:
20 x 1.05 = 21cm
New perimeter:
2(33 + 21) = 108 cm^2
Old perimeter:
2(30 + 20) = 100 cm^2
Percentage increase of area:
108 / 100 = 1.08 = 8% increase
Answer:
length_20 cm breadth_30 cm
Step-by-step explanation:
width of the rectangular_ 5/:. length of rectangular_10/:. primeter of rectangular_? now perimeter of rectangular_2(l+b). 2(20+30) __100#
Which expression shows the prime factorization of 66? please i need help so bad its a test
Answer:
B
2 times 3 times 11
Step-by-step explanation:
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
An object dropped from a height of h feet will take t seconds to fall all the way to the ground, according to the
following equation.
16t2 - h = 0
The Eiffel Tower in Paris, France is 900 feet tall.
How many seconds will it take an object dropped from that height to fall all the way to the ground?
Answer:
7.5 seconds.
Step-by-step explanation:
16t^2 - h = 0
16t^2 - 900 = 0
t^2 = 900/16
t = √900/√16
= 30/4
= 7.5 seconds.
Help I don’t get it
Math
Answer:
Thats right
Step-by-step explanation:
You typed the right answer :/
6.
Which expression represents the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r?
Answer:
A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
Step-by-step explanation:
A composite figure is formed by two or more shapes in contact.
Volume of a cube = [tex]l^{3}[/tex]
where l is the length of its sides.
Given that l = 2r, then;
volume of the cube = [tex](2r)^{3}[/tex]
= 8[tex]r^{3}[/tex]
volume of the cube = 8[tex]r^{3}[/tex]
For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Also,
volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
So that,
volume of the composite figure = volume of the cube + volume of the hemisphere
= 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]r^{3}[/tex](8 + [tex]\frac{2}{3}[/tex][tex]\pi[/tex])
volume of the composite figure = [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)
4. The money in Mrs. Finch’s savings account is earning 1.45% interest. Which number below is greater than 1.45%
A) 0.009
B) 0.019
C) 0.0032
D) 0.0117
pls help with the answer asap thank ypu
Answer:
3(2x+1)+2(x+4)
=6x+3+2x+8
=6x+2x+3+8
=8x+11
What is the value of y?
Answer:
[tex] {y} = 6\sqrt{3} \:units [/tex]
Step-by-step explanation:
By Pythagoras Theorem:
[tex] {y}^{2} = {(9 + 3)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = {(12)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = 144 - 36 \\ \\ {y}^{2} = 108 \\ \\ {y} = \sqrt{108} \\ \\ {y} = \sqrt{36 \times 3} \\ \\ {y} = \sqrt{ {6}^{2} \times 3} \\ \\ {y} = 6\sqrt{3}\:units [/tex]
Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(65,−16)
Equation Form:
x=65,y=−16
Step-by-step explanation:
Hey there!
The solution to the given system is (0, -10)
To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:
5x - 10 = 6x - 10
Now solve.
Add "10" to both sides:
5x = 6x
Subtract "5x" from both sides
0 = x
Now, we plug in the solved "x" value in an equation to solve for "y".
5(0) + y = -10
y = -10
We now know that the solution to the given system is (0, -10)
Hope this helps! Have an amazing day, and remember, you've got this!!
Could you guys help me with this I’m stressed out ill give brainliest please don’t answer if you don’t know thank you
Answer:
$146.66
Step-by-step explanation:
I bopped this into a percentage calculator and this is what I got
- 5/6 * 1/8
Practice and problem solving
Answer:
- 6 and ?/6
Step-by-step explanation:
Just look at my pictute Haha. And btw it is negative because the fractions did not have the same sign as in one was positive and one was negative! Hope I helped! Please give me brainliest! Have a great day Adios. :)
When dilating a triangle, to enlarge the triangle you must use a scale factor that is:
A) a number > 1
C) a number = 1
B) a number < 1
D) a number = 0
Answer:
is D
Step-by-step explanation:
because it's the answer
Answer:
o
Step-by-step explanation:
scale factor= 0..........
Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation 2h + 11 = 65, how many hours (h) did Addison work last week?
Answer:
27 hours
Step-by-step explanation:
Just do the reverse. 65-11 = 54. 54 / 2 = 27.
please help me please will give brainliest to anyone
Answer:
[tex]x^4+x^2-12[/tex]
Step-by-step explanation:
We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:
[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]
Expanding this, we get:
[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].
Select the correct answer.
Which expression is equivalent to this polynomial expression?
(2x5 + 3y4)(-4x2 + 9y4)
Answer:
Is the A
Step-by-step explanation:
The correct option is option A i.e., [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex].
A polynomial expression [tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex] is given.
We have to find out which option is equivalent to the given expression.
What do you mean by the polynomial expressions ?
A polynomial expression is the algebraic expression that consist of variables and coefficients.
As per the question ;
The given expression is ;
[tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex]
Let's solve this expression.
i.e.,
= [tex](2x^{5} + 3y^{4}) (-4x^{2} + 9y^{4})[/tex]
= [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex]
So , the correct option is A.
Thus , the correct option is option A i.e., [tex]-8x^{7} + 18y^{4}x^{5} - 4x^{2}y^{4} + 27y^{8}[/tex].
To learn more about polynomial expressions click here ;
brainly.com/question/26685427
#SPJ2
please help
g(x) = -x - 1
Answer:
g(x) = -1
Hope this helps.
Step-by-step explanation:
Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?
A10
6
B4
10
C6
10
D10
4
which of the following Best expresses how a bill introduced
6 pounds of candy cost $22.44 how much does it cost of 10 pounds
Answer:
10 pound=$37.4
Step-by-step explanation:
$22.44 divide by 6 = one pound $3.74
$3.74*10= $37.4
Please answer if so you get brainliest
open notes and think about it
Simplify. Remove all perfect squares from inside the square root. V75 =
Answer:
5√5
Step-by-step explanation:
You can rewrite √75 as √(25 * 5) and since 25 is a perfect square, you can find the square root and take that outside of the square root. √25 = 5, so √75 is equal to 5√5, and that cannot be simplified furthermore.