Answer:
152°
Step-by-step explanation:
Supplementary angles are two angles that sum to 180°
Complementary angles are two angles that sum to 90°
Let x° = the angle
⇒ Supplement of the angle = 180° - x°
⇒ Complement of the angle = 90° - x°
The difference between the supplement of an angle and twice its complement is 28°:
⇒ (180 - x)° - 2(90 - x)° = 28°
⇒ 180 °- x° - 180° + 2x° = 28°
⇒ x = 28°
Therefore, the measure of the supplement of 28° is:
180° - 28° = 152°
What is the area of the figure?
A) 18 yd2
B) 54 yd2
C) 72 yd2
D) 90 yd2
Answer:
72 yd²
Step-by-step explanation:
area of this figure = area of 1st rectangle + area of 2nd rectangle
= l×b + L×B
= 6 × 5 + 14 × 3
=30 + 42
= 72 yd²
Answer:
the answer c 72 yd2
Step-by-step explanation:
Which of the following statements is a valid polynomial identity?
Statement 1: x3 + 216 = (x − 6)(x2 + 6x + 36)
Statement 2: x3 + 216 = (x + 6)(x2 − 6x + 36)
Group of answer choices
Only statement 1 is valid.
Only statement 2 is valid.
Statement 1 and statement 2 are valid.
Statement 1 and statement 2 are invalid.
Answer:
B. Only statement 2 is valid.Step-by-step explanation:
Using identities
a³ + b³ = (a + b)(a² - ab + b²)a³ - b³ = (a - b)(a² + ab + b²)Applying to the given statements, we can see the second one is valid.
Correct choice is B
Answer:
Only statement 2 is valid
Step-by-step explanation:
Let's see how
[tex]\\ \rm\rightarrowtail x^3+216[/tex]
[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]
Hence verified
HELP ME OUT PLS!!!!!
What is the volume of this cone? Use 3.14 for and round your answer to the nearest tenth. In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it. (Note: type out all of your work AND type out your explanation for FULL credit.)
We observe that the
height of the cone is 8 in.
radius of the cone is 2 in.
Volume of a cone = 1/3 π r² h
where R = radius and h = height
Using the formula we get :
Volume = 1/3 π 2 × 2 × 8
= 32 / 3 π cm³
= 33.5 cm³ ( rounded to 10)
Evaluate 3log2 + log200-log16
Answer:
2
Step-by-step explanation:
using the rules of logarithms
logx + logy = log(xy)
logx - logy = log ([tex]\frac{x}{y}[/tex] )
log[tex]x^{n}[/tex] ⇔ nlogx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
3log2 + log200 - log16
= log 2³ + log200 - log16
= log8 + log200 - log16
= log(8 × 200) - log16
= log1600 - log16
= log ([tex]\frac{1600}{16}[/tex] )
= log100
let [tex]log_{10}[/tex] 100 = n , then
100 = [tex]10^{n}[/tex] = 10²
thus value of expression is n = 2 , that is 2
[tex]2 \cdot 1[/tex]Answer:
Equal to 2
Step-by-step explanation:
1. Apply log rule: [tex]alog_c(b) = log_{c}(b^a)[/tex]
[tex]3log_{10}(2) = log_{10}(2^3)[/tex]
[tex]= log_{10}(2^3) + log_{10}(200) - log_{10}(16)[/tex]
2. Apply log rule: [tex]log_c(a) + log_c(b) = log_c(ab)[/tex]
[tex]log_{10}(2^3) + log_{10}(200) = log_{10}(2^3 \cdot 200)[/tex]
[tex]= log_{10}(2^3 \cdot 200) - log_{10}(16)[/tex]
[tex]2^3 \cdot 200 = 1600[/tex]
[tex]= log_{10}(1600) - log_{10}(16)[/tex]
3. Apply log rule: [tex]log_c(a) - log_c(b) = log_c(\frac{a}{b})[/tex]
[tex]log_{10}(1600) - log_{10}(16) = log_{10}(\frac{1600}{16})[/tex]
Divide the numbers: [tex]\frac{1600}{16} = 100[/tex]
[tex]= log_{10}(100)[/tex]
Rewrite 100 in power - base form: [tex]100 = 10^2[/tex]
[tex]= log_{10}(10^2)[/tex]
4. Apply log rule: [tex]log_a(x^b) = b \cdot log_a(x)[/tex]
[tex]log_{10}(10^2) = 2log_{10}(10)[/tex]
[tex]2log_{10}(10)[/tex]
5. Apply log rule: [tex]log_a(a) = 1[/tex]
[tex]log_{10}(10) = 1[/tex]
[tex]= 2 \cdot 1 = 2[/tex]
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Do the graph and table to find the equation that represents the relationship for each of the 2 questions! :)
Answer:
1) y=x-4
2)y=x+2
Step-by-step explanation:
You can see on the first one y is just 4 less than x
You can see that the second one (graph) has a slope. As by the points, if you increase x by 0.5 you increase y by one.
Thus, y=x+2
Hope this helped! I can't see much of the question :)
Select the correct answer.
A parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
f(x) = -x2 + 2x + 5
f(x) = -x2 + x +5
O
f(x)=x²+x-2
Of(x) = x2 – 2x+5
Submit
Answer:
X^2-2x+5 is the answer
Step-by-step explanation:
What is the missing length?
10 yd
=
Area of shaded region
50 yd?
Answer:
Hope the picture will help you. Make sure to mark my answer brilliant
The rectangular floor of a classroom is 32 feet in length and 40 feet in width. A scale drawing of the floor has a length of 8 inches. What is the ares, in square inches,of the floor in the scale drawing
The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?
A.
The employee earns an additional $100 for every one unit sold.
B.
The employee earns an additional $100 for every ten units sold.
C.
The employee earns an additional $1,000 for every one unit sold.
D.
The employee earns an additional $31,000 for every ten units sold.
Answer:
A
Step-by-step explanation:
From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.
So, the employee earns an additional $1000 for every 10 units sold.
To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:
1000 ÷ 10 = 100
Therefore, the employee earns an additional $100 for every one unit sold.
Proof
This can be proved by calculating the slope (gradient) of the graph:
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line
When picking the two points, remember that the y-values are in thousands of dollars.
Two points on the line:
(0, 30000) and (20, 32000)
Substituting these into the formula:
[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]
Therefore, the employee earns an additional $100 for every one unit sold.
Question 5 (1 point)
A tow truck exerts a force of 1000 N on a car, accelerating it at 0.5 m/s/s. What is
the mass of the car?
Answer:
tangina napaka pogi ko +41
Two stores sell cherries at different prices per pound.
• Store P sells 3.5 pounds of cherries for $13.30.
• The graph below shows the cost to purchase different weights of cherries at Store Q.
.
Cost (dollars)
0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50
Phillip needs to purchase 10 pounds of cherries. Which statement below is true?
A Phillip will spend $8.00 less on cherries at Store P than at Store Q.
B Phillip will spend $8.00 more on cherries at Store P than at Store Q.
Phillip will spend $6.00 less on cherries at Store P than at Store Q.
Phillip will spend $6.00 more on cherries at Store P than at Store Q.
Answer:
can you post the question but more clear please because I didn't understand
pls pls pls pls pls help ill mark brainliest
Answer:
Y= 0. There is two that says that so I don't know if it's A or C
Given f(x) = x2 + 1 and g(x) = |x + 31| which value of x is a
solution to the equation f(x) = g(x)?
Answer:
the answer is 30..........
you bought 4 jumbo cookies for $5. whats the cost per cookie?
Answer:
80 Cents for each jumbo cookie
A rectangular pool is 25 meters
long and 10 meters wide. What
is the perimeter of the pool?
The area of circles
Answer:
Formula for the area of a circle;
A = π[tex]r^{2}[/tex]Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.
Plug in the radius into this formula:-
A = π[tex]r^{2}[/tex]
Note: I will be using 3.14 as pi(π).A = 3.14(4^2)
A = 3.14(16)
A = 50.24 centimetres is the area for this circle.
I need help! How do you put this into factored form?
y= 6x^2 - 11x - 7
[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]
Victor tossed a paper cup and recorded how the cup landed each time. He organized the results as shown below. Find the experimental probability that the cup will land on its side. Express your answer as a fraction in simplest form.
Right side up- 12 times
Upside down- 7 times
On its side- 21 times
Answer:
28/40
Step-by-step explanation:
12+21+7=40
21 times on its side
21/40 cannot be simplified
Can someone Help me please
Answer:
y = x + 6
Step-by-step explanation:
The y-intercept is 6
and the slope is the change in y over the change in x, which is 1
So, use the equation y = m*x + c
m is the (slope) = 1
c is the (y-intercept) = 6
Your answer is: y = x + 6
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Betty earned $35000 in the base year of 1992. In 2004, the consumer price index stood at 124.6. Today Betty earns $55000. Find the value of her current salary of $55000 in terms of 1992 dollars.
The value of Betty's earnings of $55,000 in 1992 dolars is $44,141.25.
What is the value of earnings in 1992 dollars?The consumer price index measures the changes in price of a basket of good.
CPI = (cost of basket of goods in current period / cost of basket of goods in base period) x 100
Value of the current earnings in 1992 dollars = $55,000 / 1.246 = $44,141.25
To learn more about, consumer price index, please check: https://brainly.com/question/26382640
How do you solve this? I don't understand
Answer:
x=4 (Vertical angles have to be equal to each other! If one side is 46 then the side vertical to it is 46!) **Plug number in for x to verify once again!**
Step-by-step explanation:
You need to understand vertical angles!!
Vertical Angles must be congruent and equal to each other!
You need to do:
10x+6=46
Subtract 6 from both sides
10x=40
Do 40 divided by 10
x=4
To verify: plug 4 for x which should be 40 added to 6 is 46!
the sum of two numbers is 76. if three times the small number is subtracted from the larger number, the result is 12. find the two numbers
Answer:
12, 60
Step-by-step explanation:
To solve this question, we can use a system of equations
1) x + y = 76
2) y - 3x = 12
Then, we can use the second equation to isolate y and substitute it into the second equation
y = 3x + 12
x + (3x + 12) = 76
4x + 12 = 76
4x = 64
x = 16, y = 60
Answer:
6
Step-by-step explanation:
based in
Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.
If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.
Round your answer to 2 decimal places.
Answer: $83.16
Step-by-step explanation:
This means that next year the item will cost 154% of what it is now.
154% / 100 = 1.54
$54 * 1.54 = $83.16
Next year the item will cost $83.16.
Find the number of faces, edges, and vertices of the solid.
The number of faces:
The number of edges:
The number of vertices:
Answer:
102
Step-by-step explanation:
first, count each rectagal,(6) then count each side of the rectangel (17). Lastly do 6x17= 102
(MAYBE WRONG)
19.A bag contains 8 blue coins and 6 red
coins. A coin is removed at random and replaced by three of the other color.
What is the probability that the removed coin is blue?
8+3=11 6-1=5 11+5=16 5/16
A) 4/7
B) 9/16
C) 4/9
Should be an easy graphing question
Answer: if that is easy why don't you do it anyways it's x=2(y−6)
Step-by-step explanation: y=
2
1
x+6
Swap sides so that all variable terms are on the left hand side.
2
1
x+6=y
Subtract 6 from both sides.
2
1
x=y−6
Multiply both sides by 2.
2
1
2
1
x
=
2
1
y−6
Dividing by
2
1
undoes the multiplication by
2
1
.
x=
2
1
y−6
Divide y−6 by
2
1
by multiplying y−6 by the reciprocal of
2
1
.
x=2y−12
SOLVE FOR Y
y=
2
x+12
Which expression is equivalent to y^4-400?
Answer: (2)
Step-by-step explanation:
Which of the following means greater than or equal to?
A. Aleast
B. Maximum
C. Not greater than
D. At most
Answer:
at least
Step-by-step explanation:
i don't know how to fully explain it, but by saying "atleast x" you're saying the minimum value it can be will be x. Maximum means it will not exceed that number, along with "not greater than" and "at most"
What is the mode of the data set?
78, 82, 91, 78, 92, 77, 80, 74, 81
Answer:
mode=92
Step-by-step explanation:
Solution
no of data=9(odd)
mode= n+1/2
= 9+1/2
=10/2
=5th position
mode= 92
mark me as brainliest
Which of the following statements are correct?
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.
Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5
Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7
Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6
What are the Angles Formed by a Transversal and Parallel Lines?The congruent angles that are formed are:
Alternate interior anglesCorresponding anglesAlternate exterior anglesThe supplementary angles formed are: Same-side interior/consecutive angles.
Therefore, the following are true of the angles shown in the diagram given:
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6Learn more about angles on:
https://brainly.com/question/2515150