Answer: Trinomial
Step-by-step explanation: This expression has 3 terms (2a^2, -5a, and 7), so it is a trinomial. An easy way to remember this is that 'tri' = 3, 'bi' = 2, and 'mono' = 1. Hope this helped :)
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Answer:
3 now okay i help you now Happy now happy
The measures of interior angle of a convex pentagon are in ratio 1:2:3:4:5. Find the measures of each angle
Answer:
The angles have measurements 36, 72, 108, 144, and 180.
Step-by-step explanation:
Pentagon has 5 sides and 5 angles.
The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.
3(180)=540 which is the sum of the angles in a pentagon.
So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.
We have the equation 1x+2x+3x+4x+5x=540 to solve.
15x=540
Divide 15 on both sides:
x=540/15
x=36
1x=36
2x=72
3x=108
4x=144
5x=180
The angles have measurements 36, 72, 108, 144, and 180.
Please answer I will give brainliest
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.
A.10a + 15c = 20
a + c = 225
B.10a + 15c = 225
a + c = 20
C.15a + 10c = 225
a + c = 20
D.15a + 10c = 20
a + c = 225
Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.10 adults and 10 children
C.15 adults and 5 children
D.9 adults and 9 children
Answer:
Part A) C
Part B) A
Step-by-step explanation:
For part B I solved for a (adults) which then I got 5
I will attach an image of my work for part b
sorry for the poor quality picture
The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let a represent the number of adult tickets and c represent the number of children's tickets.
The total number of tickets purchased is 20, so we have:
a + c = 20
The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:
15a + 10c = 225
Therefore, the system of equations that represents the given scenario is:
a + c = 20
15a + 10c = 225
Now let us solve a and c values by using substitution method.
a=20-c
Now substitute in equation 15a + 10c = 225
15(20-c)+ 10c = 225
300 - 15c + 10c = 225
-5c = -75
c = 15
Substituting c = 15 into the first equation, we get:
a + 15 = 20
a = 5
Therefore, the system of equations that represents the given scenario is
a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
To learn more on Equation:
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5. An extension ladder is extended 32 feet to rest
against a wall. The bottom of the ladder is 6 feet
from the base of the wall, as shown.
32 ft.
Which of the following is closest to the distance
from the top of the ladder to the base of the wall?
Answer:
Option A
Step-by-step explanation:
As shown in the figure ABC,
AC = Length of the ladder
BC = Distance between the base of the ladder and the wall
AB = Distance from the top of the ladder and the base of the wall
By applying Pythagoras theorem in the given right triangle ΔABC,
AC² = AB² + BC²
(32)² = h² + (6.5)²
h² = 1024 - 42.25
h = √(981.75)
h = 31.33
h ≈ 31 feet
Therefore, Option A will be the correct option.
Please help!! Write a recursive rule
PLZ HELP RN ASAP THX
Answer:
x is equal to 61
y is equal to 29
PLEASE HELP WITH THIS ILL GIVE BRAINLIEST
Answer:
[tex]\text{a. }x=7, x=-7, \\\text{b. }x=16, x=-16, \\\text{c. }x=3, x=-17, \\\text{d. }x=7, x=-7[/tex]
Step-by-step explanation:
For [tex]|x|=y[/tex], we have two cases:
[tex]\begin{cases}x=y, \\x=-y\end{cases}[/tex]
Using this, we can solve all four of the problems:
[tex]\text{a. }|x|=7,\\\begin{cases}x=7, \\x=-7\end{cases}[/tex]
[tex]\text{b. }|2x|=32,\\\begin{cases}x=16, \\x=-16\end{cases}[/tex]
[tex]\text{c. }|x+7|=10,\\\begin{cases}x+7=10, x=\boxed{3,} \\x+7=-10, x=\boxed{-17}\end{cases}[/tex]
[tex]\text{d. }5|x|=35,\\\begin{cases}x=7, \\x=-7\end{cases}[/tex]
Answer:
a) x = 7, x = - 7
b) x = 16, x = - 16
c) x = 3, x = - 17
d) x = 7, x = - 7
Step-by-step explanation:
When you have absolute value on a variable, the variable has two results.
Example:
lxl = 2
x = 2, or x = - 2
a. lxl = 7
x = 7, x = - 7
b. l2xl = 32
l2xl ÷ 2 = 32 ÷ 2
lxl = 16
x = 16, x = - 16
c. lx + 7l = 10
x + 7 = 10
x + 7 = - 10
x + 7 = 10
x + 7 - 7 = 10 - 7
x = 3
x + 7 = - 10
x + 7 - 7 = - 10 - 7
x = - 17
d. 5lxl = 35
5x = 35
5x = - 35
5x = 35
5x ÷ 5 = 35 ÷ 5
x = 7
5x = - 35
5x ÷ 5 = - 35 ÷ 5
x = - 7
Evaluate[tex]10^{6}[/tex] 10^{3}121^{1}
Miss Torres is mailing a package that way it's 12.5 pounds the post office charges by the ounce to mail a package how much does the package weight in ounces
Answer: 200 ounces
Step-by-step explanation:
One pound is the equivalent of 16 ounces.
To convert 12.5 pounds to ounces therefore, one needs to multiply 12.5 by 16 ounces:
= 12.5 * 16
= 200 ounces
The package to be mailed weighs 200 ounces when converted from pounds.
Answer:
200 ounces
Step-by-step explanation:
we need to convert 12.5 pounds to ounces
1 pound = 16 ounces
16 x 12.5 = 200 ounces
868,000,000 in scientific notation
Answer:
8.68 × 10^8
Step-by-step explanation:
--------------------
Answer:
8.68x10^8
Step-by-step explanation:
move 8 times to the left
How can1/5 x-2=1/3x+8 be set up as a system of equations
Answer:
x=-2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
X2 + 23x – 19 = 9x - 4
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
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Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
Help me plsssssss????
Answer:
40 :)
Step-by-step explanation:
73 plus what equals 180
Answer:
Your answer would 107.
Step-by-step explanation:
180 minus 73 equals 107.
:)
Find the volume of the darkly shaded region
Answer:
80
Step-by-step explanation:
HEEEEELLLLLLLPPPP WITHHHHHH MATHHHHH
Answer:
41 = 24 [Vertically opposite angle]
<1 = 25 [Corresponding angle]
41 = 28 [Alternate exterior angle]
So, 24, 25 and 28 are congruent to <1.
Simplify the expression 2√6 -5√54
Answer:
- 13[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying [tex]\sqrt{54}[/tex]
[tex]\sqrt{54}[/tex]
= [tex]\sqrt{9(6)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]
= 3[tex]\sqrt{6}[/tex]
Then
2[tex]\sqrt{6}[/tex] - 5[tex]\sqrt{54}[/tex]
= 2[tex]\sqrt{6}[/tex] - 5 (3[tex]\sqrt{6}[/tex] )
= 2[tex]\sqrt{6}[/tex] - 15[tex]\sqrt{6}[/tex]
= - 13[tex]\sqrt{6}[/tex]
Un árbol mide 10m de altura proyecta una sombra de 15m,¿ Cual es la altura de un faro que proyecta una sombra de 30m a la misma hora?
In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length shown in the picture, which of the following is the length overline AE
1) 11.25
2) 10.8
3) 10
4) 7.5
Answer:
11.25
Step-by-step explanation:
Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion
Since AE ↔ DE and AB ↔ CD
So, AE/CD = AB/CD
AE/5 = 9/4
AE = 9(5)/4
= 45/4 = 11.25
Find the measure of A. No links!!!!
Answer:
A equals 105 degrees, option 2
Step-by-step explanation:
7x + 5x gives 180. 7x and 5x lie on a line so they form a linear pair. Their sum equals 180 degrees:-
7x + 5x = 180
12x = 180
x = [tex]\frac{180}{12}[/tex]
x = 15
Since x is 15, we can find the lengths of 7x and 5x.
7x would be 7 x 15 = 105
5x would be 5 x 15 = 75
'A' is equal to 7x since they are vertically opposite angles.
Since 7x is 105 degrees, then A would be 105 degrees as well.
What is the weight of a 22 kg object on the surface of the moon (g = 1.6 m/s2)?
Weight is the gravitational force by which a massive object attracts on another object .
So,
f = m × g
where,
f = force / weight m = mass ( 22 kg )g = acc due to gravity ( 1.6 m/s² )=》
[tex]f = 22 \times 1.6[/tex]
=》
[tex]35.2 \: \: newtons[/tex]
Answer:
[tex]35.2 \: is \: your \: answer[/tex]
I hope it helps
have a nice day
#Captainpower
A football coach compared the yards per game of two of his running backs over the course of 10 games.
Based on the data represented in the box plots, which football player had greater success during the 10 games?
Nasir was more successful because he had the greatest number of yards in one game.
Aaron was more successful because he had a greater total spread.
Nasir was more successful because he had the greater measure of center.
Aaron was more successful because he had an outlier.
Answer: C. Nasir was more successful because he had the greater measure of center.
Step-by-step explanation: Just did the assignment in Edugenuity
Answer:
Nasir was more successful because he had the greater measure of center.
Step-by-step explanation:
lorde help me
surface area 10 points
Answer:
1560 in^2
Step-by-step explanation:
10x22 = 220 bottom rectangle
1/2(10)(24) = 120 side triangle
22x26 = 572 front rectangle
24x22 = 528 back rectangle
220+120+120-572+528= 1560
Find the missing exponent. I really need help with this question
1/169=(1/13)?
? =
PLEASE HELP. urgent. What is the answer? HELP please!
From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.
We know that : Area of a square is given by : Side x Side
Given : Side of the square = 3 cm
⇒ Area of the square = 3 x 3 = 9 cm²
We know that : Area of the triangle = 1/2 x Base x Height
From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm
⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²
Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles
⇒ Surface area of the pyramid = 9 cm² + 4(4.5) cm²
⇒ Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²
Answer : Surface area of the pyramid = 27 cm²
The Constitutional Convention adopted the U.S. Constitution in its original form in 1787, and it went into effect immediately. True or false?
Answer:
False.
Explanation:
The Constitution did not go into effect the moment it was signed by the delegates. It needed to be approved by the people through the ratification process.
Answer:
GIMMIEEE BRAINLIST RIGHT NOWWW YOU FREAKING PUT HISTORY IN MATH
Step-by-step explanation:
In a game of chance, players spin the pointer of a spinner with six equal-sized sections.
The numbers are 1 4 4 1 2 4 1 Which outcome has a frequency closest to its expected frequency?
Answer choices
1
2
3
4
Hurry
Answer:
1 I think
Step-by-step explanation:
1 has the most spots on the spinner
Which point represents the quotient of 4+3i/-i
Answer: Point C.
Step-by-step explanation:
Point B represents the quotient of 4+3i/-i.
What is a complex number?Complex numbers are the numbers that are expressed in the form of
a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”.
Given complex number
[tex]\frac{4+3i}{-i}[/tex]
= [tex]\frac{4+3i}{-i} \times \frac{i}{i}[/tex]
= [tex]\frac{4i+3i^{2} }{-i^{2} }[/tex]
= [tex]\frac{4i+3(-1) }{-(-1)}[/tex]
= [tex]4i-3[/tex]
= [tex]-3+4i[/tex]
Point B represents the quotient of 4+3i/-i.
Find out more information about complex number here
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