Answer:
21
Step-by-step explanation:
To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.
The rectangle:
The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared
two right triangles:
The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9
Next, we add the two areas together: 12+9 = 21
3. If I give you £90 because I want to give you
90% of my prize, what did I win?
Answer:
81
Step-by-step explanation:
Multiply 90/100 with 90 = (90/100)*90 = (90*90)/100 = 81.
i got 100. not sure how the other guy got 81, but what i did is compare it to a test score or a discount. if you have a total of 100 possible points on the test with every question worth 10 points and i got 9 questions right, i got a 90 percent.
let's say a shopping discount. If you got a 90% discount for a item with original price of $100, it costs $10 with "90" being the amount you took off
if 100 isn't right, i honestly have no clue lol. good luck though
Prime Factorization of 150
Answer:
2 , 3 , 5 , 5
Step-by-step explanation:
Prime numbers are numbers that are only divisible by itself and 1.
Divide 150 by primes:
150/2 = 75
75/3 = 25
25/5 = 5
Your prime factorization will be: 2 , 3 , 5 , 5.
Check:
2 * 3 * 5 * 5
= 6 * 25
= 150
~
A case of 24 cans of soup costs $38.16. What is the cost of 7 cans of soup?
Answer:
$11.13
Step-by-step explanation:
24 cans = $38.16
divide both sides by 24 to find the cost per can, as this leaves us with 1 can on one side
24 cans / 24 = $38.16 / 24
1 can = $1.59
multiply both sides by 7 to get 7 cans of soup on one side, which is what we want
1 can * 7 = $1.59 * 7
7 cans = $11.13
Pls help me and show work! Thank you <3
Answer: 22
Step-by-step explanation:
By the corresponding angles theorem, [tex]5x-16=2x+50 \longrightarrow x=\boxed{22}[/tex]
What are the coordinates of Point B?
(4, -3)
(-4, 3)
(3, -4)
(-3, 4)
Answer:
( -4 , 3 )
Step-by-step explanation:
Knowing that "y" is the line going up and down and "x' is the line going left to right.
Quadrant | = ( + , + )
Quadrant || = ( - , +)
Quadrant ||| = (- , - )
Quadrant |v = ( + , - )
Refer to image below if needed.
Hence, from the given we can conclude the following:
Quadrant || = ( - , +)
( x , y )
x = -4
y = 3
Thus, we have:
( -4 , 3 )
Therefore, the correct answer is ( -4 , 3 )
Kavinsky
Answer:
B.Step-by-step explanation:
The location on point B is quadrant II.
But what do we not know?
What the coordinates of point B are.So, lets find it in the most simple way:
Start at the origin.From the origin, move 4 spaces to the left on the x-axis.Then, move 3 spaces upward from the y-axis.Now, you are at point B.
In the explanation, the coordinates for x and y are right in my explanation. Read it carefully and find the coordinates:
2nd line: move 4 spaces to the left on the x-axis. This coordinate for that is -4.3rd line: move 3 spaces upward on the y-axis. this coordinate is 3.Now, lets pair that together:
(-4, 3).You have found the coordinates!
Correct choice is B.Please help! I’m struggling!
Answer:
87 degrees
Step-by-step explanation:
The triangle with the angles 79 and 15, we can find the last value because all angles in a triangle add up to 180. So, 180-79-15= 86 degrees for the angle of the triangle.
Because the 86 degree angle is complimentary, or when added up to the adjacent angle, is 90 degrees (we see that little box sign), that means that 90-86=4 degrees for the upper triangle in the angle that isn't the question mark. Now that we know 2 values for the top triangle, we can solve for the third value by subtracting those two from 180.
180-89-4=87 degrees. Hope this helps!
How to calculate minimization of cost when given the marginal revenue
Answer: Cost is minimized at the levels of capital and labor such that the marginal product of labor divided by the wage (w) is equal to the marginal product of capital divided by the rental price of capital (r)
Step-by-step explanation:
jeff read 5 pages in 12 minutes. at this rate, how many pages can he read in 1 hour?
Answer:
25 pages
Step-by-step explanation:
60 minutes in 1 hour. 60/12=5 5 x 5 =25
Solve the logarithmic equation. Show steps
[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \underset{\stackrel{\uparrow }{\textit{let's use this one}}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\log_4(x+10)-\log_4(x-2)=\log_4(x)\implies \log_4\left( \cfrac{x+10}{x-2} \right)=\log_4(x) \\\\\\ \stackrel{\textit{exponentializing both sides}}{4^{\log_4\left( \frac{x+10}{x-2} \right)}=4^{\log_4(x)}}\implies \cfrac{x+10}{x-2}=x\implies x+10=x^2-2x \\\\\\ 10=x^2-3x\implies 0=x^2-3x-10 \\\\\\ 0=(x-5)(x+2)\implies x= \begin{cases} 5~~\checkmark\\ -2 \end{cases}[/tex]
notice, -2 is a valid value for the quadratic, however, the argument value for a logarithm can never 0 or less, it has to be always greater than 0, so for the logarithmic expression with (x-2), using x = -2 will give us a negative value, so -2 is no dice.
The lengths of the 2 legs of right triangle AABC shown
below are given in inches. The midpoint of AB is how
many inches from A?
A. 16
B. 20
C. 21
D. 28
E. 40
Answer:
E. 40
Step-by-step explanation:
First, we can start out by stating that this is a right triangle, since it has a right angle, shown by the marker square in the corner of the triangle. The x part, is called the hypotenuse. When finding the value of the hypotenuse, we use a thing called the Pythagorean Theorem. This theorem is :
a^2 + b^2 = c^2
a is one side length, and b is the other. c is the hypotenuse. To find x, the hypotenuse, we simply plug in the values, and solve.
24^2+32^2 = c^2
576 + 1024 = c^2
1600 = c^2
40 = c
The answer is E. 40.
Need help with this problem, doesn't make sense to me.
Answer:
A = x² - 5x - 8
Step-by-step explanation:
Finding x
Area (deck) = Area (Rectangle) - [Area (bench) + Area (planter)]A = x(x - 4) - [ 2(6) + 1/2(2)(x - 4) ]A = x(x - 4) - [12 + x - 4]A = x² - 4x - 8 - xA = x² - 5x - 8What is the volumen , in cube centimeters, if a cube with a side length, s, of 0.2cm?
Answer:
[tex]\frac{1}{125}[/tex]cm³
Step-by-step explanation:
volume of cube= (side)³
0.2³ = [tex]\frac{1}{125}[/tex]
In the following exercises, identify whether each number is rational or irrational.
. (a) √25 (b) √30
Answer:
(a) √25 rational
(b) √30 irrational
Step-by-step explanation:
Note : only perfect squares have rational roots
25 = 5² then 25 is a perfect square
therefore √25 = 5 is a rational number
30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square
Therefore √30 is irrational.
A certain race car can sustain a top speed of
250 miles per hour on a straight road. If this
car had an infinitely-long straight road to
drive upon, how many miles could this race
car travel at top speed in 45 seconds?
(A) .555
(B) 3.125
(C) 187.5
(D) 11,250
Answer:
C
Step-by-step explanation:
250÷60×45=187.5
Answer is C.
The net below depicts a triangular prism. What is the total surface area of the prism? And please explain how did you get your answer. A.282 cm B. 210 cm C.312 cm D. 624 cm
Plsss helpp
f(x) = x2 What is g(x)?
g(x)-
-(1,9)
f(x)
х
-10
10
-10
O A. g(x) = (9x)2
O B. g(x) = (3x)2
O c. g(x) = 3x2
O D. g(x)=
90x)= (3x)
If the given function is f(x)=x², the value of g(x) will be (3x)².
What is a function?Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.
It is given that the coordinate values on the graph g (x) are (1, 9).
Now, For the given function,
g (x) = (3x)²
At point (1, 9)
g (1) = (3(1))²
g(1) = 3²
g( 1) = 9
Since, g(x) = (3x)² satisfies the given coordinate values it will be the obtained result.
Thus, the obtained function will be g(x)= (3x)².
Learn more about the function here:
brainly.com/question/5245372
#SPJ7
Read more on Brainly.com - https://brainly.com/question/23774232#readmore
A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?
Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. The solid could be a Triangular prism or a pyramid.
What is a solid?Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. Solid Geometry is the study of the characteristics, volume, and surface area of three-dimensional forms.
Given a solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross-section in the shape of a triangle. Therefore, the solid could be a Triangular prism or a pyramid.
Learn more about Solid:
https://brainly.com/question/14424882
#SPJ1
Answer: right cone because if you use a right cone and cut it perpendicular to the base you get a triangle making cone triangle the answer.
A family spends $30,000 a year for living expenses. If prices increase by 5 percent a year for the next three years, what amount will the family need for their living expenses after three years?
Answer:
The family will need $34500.
Step-by-step explanation:
1. 5% of 30000 is 1500.
2. 3 times 1500 is 4500.
3. Add 4500 and the starting amount.
What Is The Recursive Rule For The Sequence? 1.2, 0.4, -0.4, – 1.2, -2,
[tex]\boxed{\bold{a_n = a_{n-1} -0.8}}[/tex]
Explanation:Sequence: 1.2, 0.4, -0.4, – 1.2, -2,...
See that with every next term, the integers are decreasing by 0.8
So, common difference (d) = -0.8recursive formula : [tex]\sf a_n = a_{n-1} +d[/tex]
[tex]\bold a_1 = 1.2,[/tex] [tex]\sf a_n = a_{n-1} + (-0.8)[/tex]
A box contains 1 4/5 pounds of pasta. How many ounces of pasta are
in the box
Answer: 1 4/5 pounds is equal to 28.8 ounces
Step-by-step explanation:
1 pound is equal to 16 ounces.
does the formula matter in area?
Answer:
Yes
Step-by-step explanation:
You need the formula to solve area.
You must plug in / subsitute numbers in order to find the area.
I need help with the last two !!!
Step-by-step explanation:
G(x) = - x^2 + 10x
a + G(a) = a - a^2 + 10a = - a^2 + 11a or 11a - a^2 or a(11 - a)
1/G(a) = 1/(10a - a^2) = 1/a(10 - a)
what is the answer to the equation below??
4 1/2 ÷ 1/2
Step-by-step explanation:
first of all, remember. when dividing by a fraction, this is the same as multiplying by the upside-down fraction.
and all these signs (including the fraction sign) stand for divisions and really do the same thing and can be exchanged with each other : "/", "÷", ":"
and when writing a number like 4 1/2, it is a shortcut and means actually (4 + 1/2).
so,
4 1/2 ÷ 1/2 = 4 1/2 × 2/1 = 4 1/2 × 2 = (8/2 + 1/2)×2 =
= 9/2 × 2 = 18/2 = 9
Find the first four terms of:
a) An arithmetic series with first term of 3 and sum to five terms is 75
[tex]\textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\[-0.5em] \hrulefill\\ a_1=3\\ n=5\\ S_5=75 \end{cases} \implies \begin{array}{llll} S_5=\cfrac{5(a_1+a_5)}{2} \\\\\\ 75=\cfrac{5(3+a_5)}{2} \end{array} \\\\\\ 150=5(3+a_5)\implies \cfrac{150}{5}=3+a_5\implies 30=3+a_5\implies \boxed{27=a_5} \\\\[-0.35em] ~\dotfill[/tex]
[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ n=5\\ a_5=27\\ a_1=3 \end{cases}\implies 27=3+(5-1)d \\\\\\ 24=(5-1)d\implies 24=4d\implies \cfrac{24}{4}=d\implies \boxed{6=d} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\LARGE Terms}}{3~~,~~\stackrel{3+6}{9}~~,~~\stackrel{9+6}{15}~~,~~\stackrel{15+6}{21}}~\hfill[/tex]
1. What is the surface area of this rectangular prism?
A. 16 square units
B. 32 square units
C. 48 square units
D. 64 square units
Hi! :)
Answer:
B) 32 Square Units
Step-by-step explanation:
I counted the squares. <3
Jeremy wants to visit the Duck Pond. Which is a correct description of how to find the ordered pair for the Duck Pond?
Answer: 2,4
Step-by-step explanation:
4x^(4)+8x^(3)-2x^(2) write as a product
P(A) = 0.36,P(B)=0.30 and P(AnB)=0.12
Find P(A/AUB).
Hiya !
I need help. . .
Which of the following is a rational number?
[tex]\sf{a) \: \sqrt{20}}[/tex]
[tex]\sf{b) \: \pi}[/tex]
[tex]\sf{c) \: \sqrt{21}}[/tex]
[tex]\sf{d) \: \sqrt{25}}[/tex]
(remember no calculator if you're trying to use it)
→ Make an explanation to this. don't cheat!
Answer:
root 25
Step-by-step explanation:
root 25 is 5, and every other number may not be able to be written as a whole number (please give brainliest)
Answer:
D) √(25)
Step-by-step explanation:
√(25) is a rational number because it is a perfect square of 5.
Which statement is true?
7.11>−7.1
7.11≤−7.1
7.11<−7.1
Step-by-step explanation:
I think 1 is correct..
all positive numbers are greater than negative. 7.11 is greater that -7.1
Answer:
7.11 > -7.1
Step-by-step explanation:
» Concept
Negative numbers will always be less than positive numbers. Negative numbers will always have the (-) sign to indicate its value.
» Solution
The only correct inequality is A. 7.11 > -7.1 because it displays that the positive number, 7.11, is greater than the negative number, -7.1.